%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL911+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:11:21 PM UTC 2026
% Result : Satisfiable 17.56s 2.65s
% Output : Saturation 0.70s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X,Y] :
( ( is_a_theorem(implies(X,Y))
& is_a_theorem(X) )
=> is_a_theorem(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X,Y] :
( is_a_theorem(equiv(X,Y))
=> X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( modus_tollens
<=> ! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( implies_1
<=> ! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( implies_2
<=> ! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( implies_3
<=> ! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( and_1
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( and_2
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( and_3
<=> ! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( or_1
<=> ! [X,Y] : is_a_theorem(implies(X,or(X,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( or_2
<=> ! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( or_3
<=> ! [X,Y,Z] : is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( equivalence_1
<=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(X,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( equivalence_2
<=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(Y,X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( equivalence_3
<=> ! [X,Y] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( kn1
<=> ! [P] : is_a_theorem(implies(P,and(P,P))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( kn2
<=> ! [P,Q] : is_a_theorem(implies(and(P,Q),P)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( kn3
<=> ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
( cn1
<=> ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( cn2
<=> ! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
( cn3
<=> ! [P] : is_a_theorem(implies(implies(not(P),P),P)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
( r1
<=> ! [P] : is_a_theorem(implies(or(P,P),P)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
( r2
<=> ! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
( r3
<=> ! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
( r4
<=> ! [P,Q,R] : is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
( r5
<=> ! [P,Q,R] : is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
( op_or
=> ! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
( op_and
=> ! [X,Y] : and(X,Y) = not(or(not(X),not(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
( op_implies_and
=> ! [X,Y] : implies(X,Y) = not(and(X,not(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
( op_implies_or
=> ! [X,Y] : implies(X,Y) = or(not(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
( op_equiv
=> ! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
op_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
modus_tollens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
implies_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
implies_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
implies_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
and_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
and_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
and_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
or_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
or_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
or_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
equivalence_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
equivalence_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
equivalence_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
( necessitation
<=> ! [X] :
( is_a_theorem(X)
=> is_a_theorem(necessarily(X)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
( modus_ponens_strict_implies
<=> ! [X,Y] :
( ( is_a_theorem(strict_implies(X,Y))
& is_a_theorem(X) )
=> is_a_theorem(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,axiom,
( adjunction
<=> ! [X,Y] :
( ( is_a_theorem(Y)
& is_a_theorem(X) )
=> is_a_theorem(and(X,Y)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,axiom,
( substitution_strict_equiv
<=> ! [X,Y] :
( is_a_theorem(strict_equiv(X,Y))
=> X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
( axiom_K
<=> ! [X,Y] : is_a_theorem(implies(necessarily(implies(X,Y)),implies(necessarily(X),necessarily(Y)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,axiom,
( axiom_M
<=> ! [X] : is_a_theorem(implies(necessarily(X),X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
( axiom_4
<=> ! [X] : is_a_theorem(implies(necessarily(X),necessarily(necessarily(X)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
( axiom_B
<=> ! [X] : is_a_theorem(implies(X,necessarily(possibly(X)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
( axiom_5
<=> ! [X] : is_a_theorem(implies(possibly(X),necessarily(possibly(X)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
( axiom_s1
<=> ! [X,Y,Z] : is_a_theorem(implies(and(necessarily(implies(X,Y)),necessarily(implies(Y,Z))),necessarily(implies(X,Z)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,axiom,
( axiom_s2
<=> ! [P,Q] : is_a_theorem(strict_implies(possibly(and(P,Q)),and(possibly(P),possibly(Q)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,axiom,
( axiom_s3
<=> ! [X,Y] : is_a_theorem(strict_implies(strict_implies(X,Y),strict_implies(not(possibly(Y)),not(possibly(X))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,axiom,
( axiom_s4
<=> ! [X] : is_a_theorem(strict_implies(necessarily(X),necessarily(necessarily(X)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,axiom,
( axiom_m1
<=> ! [X,Y] : is_a_theorem(strict_implies(and(X,Y),and(Y,X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,axiom,
( axiom_m2
<=> ! [X,Y] : is_a_theorem(strict_implies(and(X,Y),X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
( axiom_m3
<=> ! [X,Y,Z] : is_a_theorem(strict_implies(and(and(X,Y),Z),and(X,and(Y,Z)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,axiom,
( axiom_m4
<=> ! [X] : is_a_theorem(strict_implies(X,and(X,X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
( axiom_m5
<=> ! [X,Y,Z] : is_a_theorem(strict_implies(and(strict_implies(X,Y),strict_implies(Y,Z)),strict_implies(X,Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
( axiom_m6
<=> ! [X] : is_a_theorem(strict_implies(X,possibly(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,axiom,
( axiom_m7
<=> ! [P,Q] : is_a_theorem(strict_implies(possibly(and(P,Q)),P)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,axiom,
( axiom_m8
<=> ! [P,Q] : is_a_theorem(strict_implies(strict_implies(P,Q),strict_implies(possibly(P),possibly(Q)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,axiom,
( axiom_m9
<=> ! [X] : is_a_theorem(strict_implies(possibly(possibly(X)),possibly(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,axiom,
( axiom_m10
<=> ! [X] : is_a_theorem(strict_implies(possibly(X),necessarily(possibly(X)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
( op_possibly
=> ! [X] : possibly(X) = not(necessarily(not(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
( op_necessarily
=> ! [X] : necessarily(X) = not(possibly(not(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,axiom,
( op_strict_implies
=> ! [X,Y] : strict_implies(X,Y) = necessarily(implies(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,axiom,
( op_strict_equiv
=> ! [X,Y] : strict_equiv(X,Y) = and(strict_implies(X,Y),strict_implies(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,axiom,
op_possibly,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,axiom,
necessitation,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,axiom,
axiom_K,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,axiom,
axiom_M,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,axiom,
axiom_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,plain,
( modus_ponens
<=> ! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f83,plain,
( ( ? [X,Y] :
( ~ is_a_theorem(Y)
& is_a_theorem(implies(X,Y))
& is_a_theorem(X) )
| modus_ponens )
& ( ! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X) )
| ~ modus_ponens ) ),
inference(NNF_transformation,[status(thm)],[f82]) ).
fof(f84,plain,
( ( ? [Y] :
( ~ is_a_theorem(Y)
& ? [X] :
( is_a_theorem(implies(X,Y))
& is_a_theorem(X) ) )
| modus_ponens )
& ( ! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X) ) )
| ~ modus_ponens ) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f85,plain,
( ( ( ~ is_a_theorem(sK0_skl)
& is_a_theorem(implies(sK1_skl,sK0_skl))
& is_a_theorem(sK1_skl) )
| modus_ponens )
& ( ! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X) ) )
| ~ modus_ponens ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl),skolemize(X,sK1_skl)],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| ~ modus_ponens ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f90,plain,
( substitution_of_equivalents
<=> ! [X,Y] :
( X = Y
| ~ is_a_theorem(equiv(X,Y)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f91,plain,
( ( ? [X,Y] :
( X != Y
& is_a_theorem(equiv(X,Y)) )
| substitution_of_equivalents )
& ( ! [X,Y] :
( X = Y
| ~ is_a_theorem(equiv(X,Y)) )
| ~ substitution_of_equivalents ) ),
inference(NNF_transformation,[status(thm)],[f90]) ).
fof(f92,plain,
( ( ( sK2_skl != sK3_skl
& is_a_theorem(equiv(sK2_skl,sK3_skl)) )
| substitution_of_equivalents )
& ( ! [X,Y] :
( X = Y
| ~ is_a_theorem(equiv(X,Y)) )
| ~ substitution_of_equivalents ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(X,sK2_skl),skolemize(Y,sK3_skl)],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f96,plain,
( ( ? [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)))
| ~ modus_tollens ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
( ( ~ is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl)))
| modus_tollens )
& ( ! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y)))
| ~ modus_tollens ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(X,sK4_skl),skolemize(Y,sK5_skl)],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
| ~ modus_tollens ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f100,plain,
( ( ? [X,Y] : ~ is_a_theorem(implies(X,implies(Y,X)))
| implies_1 )
& ( ! [X,Y] : is_a_theorem(implies(X,implies(Y,X)))
| ~ implies_1 ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f101,plain,
( ( ~ is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl)))
| implies_1 )
& ( ! [X,Y] : is_a_theorem(implies(X,implies(Y,X)))
| ~ implies_1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(X,sK6_skl),skolemize(Y,sK7_skl)],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f104,plain,
( ( ? [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)))
| ~ implies_2 ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f105,plain,
( ( ~ is_a_theorem(implies(implies(sK8_skl,implies(sK8_skl,sK9_skl)),implies(sK8_skl,sK9_skl)))
| implies_2 )
& ( ! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))
| ~ implies_2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(X,sK8_skl),skolemize(Y,sK9_skl)],[f104]) ).
fof(f106,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f108,plain,
( ( ? [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))))
| ~ implies_3 ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f109,plain,
( ( ~ is_a_theorem(implies(implies(sK10_skl,sK11_skl),implies(implies(sK11_skl,sK12_skl),implies(sK10_skl,sK12_skl))))
| implies_3 )
& ( ! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))
| ~ implies_3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl,sK12_skl]),skolemize(X,sK10_skl),skolemize(Y,sK11_skl),skolemize(Z,sK12_skl)],[f108]) ).
fof(f110,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ implies_3 ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f112,plain,
( ( ? [X,Y] : ~ is_a_theorem(implies(and(X,Y),X))
| and_1 )
& ( ! [X,Y] : is_a_theorem(implies(and(X,Y),X))
| ~ and_1 ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f113,plain,
( ( ~ is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl))
| and_1 )
& ( ! [X,Y] : is_a_theorem(implies(and(X,Y),X))
| ~ and_1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl]),skolemize(X,sK13_skl),skolemize(Y,sK14_skl)],[f112]) ).
fof(f114,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f116,plain,
( ( ? [X,Y] : ~ is_a_theorem(implies(and(X,Y),Y))
| and_2 )
& ( ! [X,Y] : is_a_theorem(implies(and(X,Y),Y))
| ~ and_2 ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f117,plain,
( ( ~ is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl))
| and_2 )
& ( ! [X,Y] : is_a_theorem(implies(and(X,Y),Y))
| ~ and_2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl]),skolemize(X,sK15_skl),skolemize(Y,sK16_skl)],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X1))
| ~ and_2 ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f120,plain,
( ( ? [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))))
| ~ and_3 ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f121,plain,
( ( ~ is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl))))
| and_3 )
& ( ! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y))))
| ~ and_3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl]),skolemize(X,sK17_skl),skolemize(Y,sK18_skl)],[f120]) ).
fof(f122,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f124,plain,
( ( ? [X,Y] : ~ is_a_theorem(implies(X,or(X,Y)))
| or_1 )
& ( ! [X,Y] : is_a_theorem(implies(X,or(X,Y)))
| ~ or_1 ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f125,plain,
( ( ~ is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl)))
| or_1 )
& ( ! [X,Y] : is_a_theorem(implies(X,or(X,Y)))
| ~ or_1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl,sK20_skl]),skolemize(X,sK19_skl),skolemize(Y,sK20_skl)],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f128,plain,
( ( ? [X,Y] : ~ is_a_theorem(implies(Y,or(X,Y)))
| or_2 )
& ( ! [X,Y] : is_a_theorem(implies(Y,or(X,Y)))
| ~ or_2 ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f129,plain,
( ( ~ is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl)))
| or_2 )
& ( ! [X,Y] : is_a_theorem(implies(Y,or(X,Y)))
| ~ or_2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl]),skolemize(X,sK21_skl),skolemize(Y,sK22_skl)],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X1,X0)))
| ~ or_2 ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f132,plain,
( ( ? [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))))
| ~ or_3 ) ),
inference(NNF_transformation,[status(thm)],[f12]) ).
fof(f133,plain,
( ( ~ is_a_theorem(implies(implies(sK23_skl,sK25_skl),implies(implies(sK24_skl,sK25_skl),implies(or(sK23_skl,sK24_skl),sK25_skl))))
| or_3 )
& ( ! [X,Y,Z] : is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z))))
| ~ or_3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl,sK25_skl]),skolemize(X,sK23_skl),skolemize(Y,sK24_skl),skolemize(Z,sK25_skl)],[f132]) ).
fof(f134,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))
| ~ or_3 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,plain,
( ( ? [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)))
| ~ equivalence_1 ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f137,plain,
( ( ~ is_a_theorem(implies(equiv(sK26_skl,sK27_skl),implies(sK26_skl,sK27_skl)))
| equivalence_1 )
& ( ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(X,Y)))
| ~ equivalence_1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl]),skolemize(X,sK26_skl),skolemize(Y,sK27_skl)],[f136]) ).
fof(f138,plain,
! [X0,X1] :
( is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
| ~ equivalence_1 ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f140,plain,
( ( ? [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)))
| ~ equivalence_2 ) ),
inference(NNF_transformation,[status(thm)],[f14]) ).
fof(f141,plain,
( ( ~ is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl)))
| equivalence_2 )
& ( ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(Y,X)))
| ~ equivalence_2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28_skl,sK29_skl]),skolemize(X,sK28_skl),skolemize(Y,sK29_skl)],[f140]) ).
fof(f142,plain,
! [X0,X1] :
( is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
| ~ equivalence_2 ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f144,plain,
( ( ? [X,Y] : ~ is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y))))
| equivalence_3 )
& ( ! [X,Y] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y))))
| ~ equivalence_3 ) ),
inference(NNF_transformation,[status(thm)],[f15]) ).
fof(f145,plain,
( ( ~ is_a_theorem(implies(implies(sK30_skl,sK31_skl),implies(implies(sK31_skl,sK30_skl),equiv(sK30_skl,sK31_skl))))
| equivalence_3 )
& ( ! [X,Y] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y))))
| ~ equivalence_3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30_skl,sK31_skl]),skolemize(X,sK30_skl),skolemize(Y,sK31_skl)],[f144]) ).
fof(f146,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
| ~ equivalence_3 ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f148,plain,
( ( ? [P] : ~ is_a_theorem(implies(P,and(P,P)))
| kn1 )
& ( ! [P] : is_a_theorem(implies(P,and(P,P)))
| ~ kn1 ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f149,plain,
( ( ~ is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl)))
| kn1 )
& ( ! [P] : is_a_theorem(implies(P,and(P,P)))
| ~ kn1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32_skl]),skolemize(P,sK32_skl)],[f148]) ).
fof(f150,plain,
! [X0] :
( is_a_theorem(implies(X0,and(X0,X0)))
| ~ kn1 ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
( ~ is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl)))
| kn1 ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f152,plain,
( ( ? [P,Q] : ~ is_a_theorem(implies(and(P,Q),P))
| kn2 )
& ( ! [P,Q] : is_a_theorem(implies(and(P,Q),P))
| ~ kn2 ) ),
inference(NNF_transformation,[status(thm)],[f17]) ).
fof(f153,plain,
( ( ~ is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl))
| kn2 )
& ( ! [P,Q] : is_a_theorem(implies(and(P,Q),P))
| ~ kn2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33_skl,sK34_skl]),skolemize(P,sK33_skl),skolemize(Q,sK34_skl)],[f152]) ).
fof(f154,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ kn2 ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
( ~ is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl))
| kn2 ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f156,plain,
( ( ? [P,Q,R] : ~ is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))
| kn3 )
& ( ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))
| ~ kn3 ) ),
inference(NNF_transformation,[status(thm)],[f18]) ).
fof(f157,plain,
( ( ~ is_a_theorem(implies(implies(sK35_skl,sK36_skl),implies(not(and(sK36_skl,sK37_skl)),not(and(sK37_skl,sK35_skl)))))
| kn3 )
& ( ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))
| ~ kn3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35_skl,sK36_skl,sK37_skl]),skolemize(P,sK35_skl),skolemize(Q,sK36_skl),skolemize(R,sK37_skl)],[f156]) ).
fof(f158,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))
| ~ kn3 ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
( ~ is_a_theorem(implies(implies(sK35_skl,sK36_skl),implies(not(and(sK36_skl,sK37_skl)),not(and(sK37_skl,sK35_skl)))))
| kn3 ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f160,plain,
( ( ? [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))))
| ~ cn1 ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f161,plain,
( ( ~ is_a_theorem(implies(implies(sK38_skl,sK39_skl),implies(implies(sK39_skl,sK40_skl),implies(sK38_skl,sK40_skl))))
| cn1 )
& ( ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))
| ~ cn1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38_skl,sK39_skl,sK40_skl]),skolemize(P,sK38_skl),skolemize(Q,sK39_skl),skolemize(R,sK40_skl)],[f160]) ).
fof(f162,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,plain,
( ~ is_a_theorem(implies(implies(sK38_skl,sK39_skl),implies(implies(sK39_skl,sK40_skl),implies(sK38_skl,sK40_skl))))
| cn1 ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f164,plain,
( ( ? [P,Q] : ~ is_a_theorem(implies(P,implies(not(P),Q)))
| cn2 )
& ( ! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q)))
| ~ cn2 ) ),
inference(NNF_transformation,[status(thm)],[f20]) ).
fof(f165,plain,
( ( ~ is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl)))
| cn2 )
& ( ! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q)))
| ~ cn2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41_skl,sK42_skl]),skolemize(P,sK41_skl),skolemize(Q,sK42_skl)],[f164]) ).
fof(f166,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f167,plain,
( ~ is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl)))
| cn2 ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f168,plain,
( ( ? [P] : ~ is_a_theorem(implies(implies(not(P),P),P))
| cn3 )
& ( ! [P] : is_a_theorem(implies(implies(not(P),P),P))
| ~ cn3 ) ),
inference(NNF_transformation,[status(thm)],[f21]) ).
fof(f169,plain,
( ( ~ is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl))
| cn3 )
& ( ! [P] : is_a_theorem(implies(implies(not(P),P),P))
| ~ cn3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43_skl]),skolemize(P,sK43_skl)],[f168]) ).
fof(f170,plain,
! [X0] :
( is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( ~ is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl))
| cn3 ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f172,plain,
( ( ? [P] : ~ is_a_theorem(implies(or(P,P),P))
| r1 )
& ( ! [P] : is_a_theorem(implies(or(P,P),P))
| ~ r1 ) ),
inference(NNF_transformation,[status(thm)],[f22]) ).
fof(f173,plain,
( ( ~ is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl))
| r1 )
& ( ! [P] : is_a_theorem(implies(or(P,P),P))
| ~ r1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44_skl]),skolemize(P,sK44_skl)],[f172]) ).
fof(f174,plain,
! [X0] :
( is_a_theorem(implies(or(X0,X0),X0))
| ~ r1 ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( ~ is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl))
| r1 ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f176,plain,
( ( ? [P,Q] : ~ is_a_theorem(implies(Q,or(P,Q)))
| r2 )
& ( ! [P,Q] : is_a_theorem(implies(Q,or(P,Q)))
| ~ r2 ) ),
inference(NNF_transformation,[status(thm)],[f23]) ).
fof(f177,plain,
( ( ~ is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl)))
| r2 )
& ( ! [P,Q] : is_a_theorem(implies(Q,or(P,Q)))
| ~ r2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45_skl,sK46_skl]),skolemize(P,sK45_skl),skolemize(Q,sK46_skl)],[f176]) ).
fof(f178,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X1,X0)))
| ~ r2 ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( ~ is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl)))
| r2 ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f180,plain,
( ( ? [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)))
| ~ r3 ) ),
inference(NNF_transformation,[status(thm)],[f24]) ).
fof(f181,plain,
( ( ~ is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl)))
| r3 )
& ( ! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P)))
| ~ r3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl]),skolemize(P,sK47_skl),skolemize(Q,sK48_skl)],[f180]) ).
fof(f182,plain,
! [X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
( ~ is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl)))
| r3 ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f184,plain,
( ( ? [P,Q,R] : ~ is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R))))
| r4 )
& ( ! [P,Q,R] : is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R))))
| ~ r4 ) ),
inference(NNF_transformation,[status(thm)],[f25]) ).
fof(f185,plain,
( ( ~ is_a_theorem(implies(or(sK49_skl,or(sK50_skl,sK51_skl)),or(sK50_skl,or(sK49_skl,sK51_skl))))
| r4 )
& ( ! [P,Q,R] : is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R))))
| ~ r4 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49_skl,sK50_skl,sK51_skl]),skolemize(P,sK49_skl),skolemize(Q,sK50_skl),skolemize(R,sK51_skl)],[f184]) ).
fof(f186,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
| ~ r4 ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( ~ is_a_theorem(implies(or(sK49_skl,or(sK50_skl,sK51_skl)),or(sK50_skl,or(sK49_skl,sK51_skl))))
| r4 ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f188,plain,
( ( ? [P,Q,R] : ~ is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R))))
| r5 )
& ( ! [P,Q,R] : is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R))))
| ~ r5 ) ),
inference(NNF_transformation,[status(thm)],[f26]) ).
fof(f189,plain,
( ( ~ is_a_theorem(implies(implies(sK53_skl,sK54_skl),implies(or(sK52_skl,sK53_skl),or(sK52_skl,sK54_skl))))
| r5 )
& ( ! [P,Q,R] : is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R))))
| ~ r5 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl,sK53_skl,sK54_skl]),skolemize(P,sK52_skl),skolemize(Q,sK53_skl),skolemize(R,sK54_skl)],[f188]) ).
fof(f190,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))
| ~ r5 ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
( ~ is_a_theorem(implies(implies(sK53_skl,sK54_skl),implies(or(sK52_skl,sK53_skl),or(sK52_skl,sK54_skl))))
| r5 ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f192,plain,
( ! [X,Y] : or(X,Y) = not(and(not(X),not(Y)))
| ~ op_or ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f193,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f194,plain,
( ! [X,Y] : and(X,Y) = not(or(not(X),not(Y)))
| ~ op_and ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f195,plain,
! [X0,X1] :
( and(X0,X1) = not(or(not(X0),not(X1)))
| ~ op_and ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
( ! [X,Y] : implies(X,Y) = not(and(X,not(Y)))
| ~ op_implies_and ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f197,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( ! [X,Y] : implies(X,Y) = or(not(X),Y)
| ~ op_implies_or ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f199,plain,
! [X0,X1] :
( implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f200,plain,
( ! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X))
| ~ op_equiv ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f201,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f202,plain,
op_or,
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f203,plain,
op_implies_and,
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f204,plain,
op_equiv,
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f205,plain,
modus_ponens,
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f206,plain,
modus_tollens,
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f207,plain,
implies_1,
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f208,plain,
implies_2,
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f209,plain,
implies_3,
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f210,plain,
and_1,
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f211,plain,
and_2,
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f212,plain,
and_3,
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f213,plain,
or_1,
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f214,plain,
or_2,
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f215,plain,
or_3,
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f216,plain,
equivalence_1,
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f217,plain,
equivalence_2,
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f218,plain,
equivalence_3,
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f219,plain,
substitution_of_equivalents,
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f220,plain,
( necessitation
<=> ! [X] :
( is_a_theorem(necessarily(X))
| ~ is_a_theorem(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f221,plain,
( ( ? [X] :
( ~ is_a_theorem(necessarily(X))
& is_a_theorem(X) )
| necessitation )
& ( ! [X] :
( is_a_theorem(necessarily(X))
| ~ is_a_theorem(X) )
| ~ necessitation ) ),
inference(NNF_transformation,[status(thm)],[f220]) ).
fof(f222,plain,
( ( ( ~ is_a_theorem(necessarily(sK55_skl))
& is_a_theorem(sK55_skl) )
| necessitation )
& ( ! [X] :
( is_a_theorem(necessarily(X))
| ~ is_a_theorem(X) )
| ~ necessitation ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55_skl]),skolemize(X,sK55_skl)],[f221]) ).
fof(f223,plain,
! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0)
| ~ necessitation ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f226,plain,
( modus_ponens_strict_implies
<=> ! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(strict_implies(X,Y))
| ~ is_a_theorem(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f51]) ).
fof(f227,plain,
( ( ? [X,Y] :
( ~ is_a_theorem(Y)
& is_a_theorem(strict_implies(X,Y))
& is_a_theorem(X) )
| modus_ponens_strict_implies )
& ( ! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(strict_implies(X,Y))
| ~ is_a_theorem(X) )
| ~ modus_ponens_strict_implies ) ),
inference(NNF_transformation,[status(thm)],[f226]) ).
fof(f228,plain,
( ( ? [Y] :
( ~ is_a_theorem(Y)
& ? [X] :
( is_a_theorem(strict_implies(X,Y))
& is_a_theorem(X) ) )
| modus_ponens_strict_implies )
& ( ! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(strict_implies(X,Y))
| ~ is_a_theorem(X) ) )
| ~ modus_ponens_strict_implies ) ),
inference(miniscoping,[status(thm)],[f227]) ).
fof(f229,plain,
( ( ( ~ is_a_theorem(sK56_skl)
& is_a_theorem(strict_implies(sK57_skl,sK56_skl))
& is_a_theorem(sK57_skl) )
| modus_ponens_strict_implies )
& ( ! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(strict_implies(X,Y))
| ~ is_a_theorem(X) ) )
| ~ modus_ponens_strict_implies ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56_skl,sK57_skl]),skolemize(Y,sK56_skl),skolemize(X,sK57_skl)],[f228]) ).
fof(f230,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(X0)
| ~ modus_ponens_strict_implies ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f231,plain,
( is_a_theorem(sK57_skl)
| modus_ponens_strict_implies ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f232,plain,
( is_a_theorem(strict_implies(sK57_skl,sK56_skl))
| modus_ponens_strict_implies ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f233,plain,
( ~ is_a_theorem(sK56_skl)
| modus_ponens_strict_implies ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f234,plain,
( adjunction
<=> ! [X,Y] :
( is_a_theorem(and(X,Y))
| ~ is_a_theorem(Y)
| ~ is_a_theorem(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f52]) ).
fof(f235,plain,
( ( ? [X,Y] :
( ~ is_a_theorem(and(X,Y))
& is_a_theorem(Y)
& is_a_theorem(X) )
| adjunction )
& ( ! [X,Y] :
( is_a_theorem(and(X,Y))
| ~ is_a_theorem(Y)
| ~ is_a_theorem(X) )
| ~ adjunction ) ),
inference(NNF_transformation,[status(thm)],[f234]) ).
fof(f236,plain,
( ( ( ~ is_a_theorem(and(sK58_skl,sK59_skl))
& is_a_theorem(sK59_skl)
& is_a_theorem(sK58_skl) )
| adjunction )
& ( ! [X,Y] :
( is_a_theorem(and(X,Y))
| ~ is_a_theorem(Y)
| ~ is_a_theorem(X) )
| ~ adjunction ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58_skl,sK59_skl]),skolemize(X,sK58_skl),skolemize(Y,sK59_skl)],[f235]) ).
fof(f237,plain,
! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ adjunction ),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f238,plain,
( is_a_theorem(sK58_skl)
| adjunction ),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f239,plain,
( is_a_theorem(sK59_skl)
| adjunction ),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f240,plain,
( ~ is_a_theorem(and(sK58_skl,sK59_skl))
| adjunction ),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f241,plain,
( substitution_strict_equiv
<=> ! [X,Y] :
( X = Y
| ~ is_a_theorem(strict_equiv(X,Y)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f53]) ).
fof(f242,plain,
( ( ? [X,Y] :
( X != Y
& is_a_theorem(strict_equiv(X,Y)) )
| substitution_strict_equiv )
& ( ! [X,Y] :
( X = Y
| ~ is_a_theorem(strict_equiv(X,Y)) )
| ~ substitution_strict_equiv ) ),
inference(NNF_transformation,[status(thm)],[f241]) ).
fof(f243,plain,
( ( ( sK60_skl != sK61_skl
& is_a_theorem(strict_equiv(sK60_skl,sK61_skl)) )
| substitution_strict_equiv )
& ( ! [X,Y] :
( X = Y
| ~ is_a_theorem(strict_equiv(X,Y)) )
| ~ substitution_strict_equiv ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60_skl,sK61_skl]),skolemize(X,sK60_skl),skolemize(Y,sK61_skl)],[f242]) ).
fof(f244,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(strict_equiv(X0,X1))
| ~ substitution_strict_equiv ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f245,plain,
( is_a_theorem(strict_equiv(sK60_skl,sK61_skl))
| substitution_strict_equiv ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f246,plain,
( sK60_skl != sK61_skl
| substitution_strict_equiv ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f247,plain,
( ( ? [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))))
| ~ axiom_K ) ),
inference(NNF_transformation,[status(thm)],[f54]) ).
fof(f248,plain,
( ( ~ is_a_theorem(implies(necessarily(implies(sK62_skl,sK63_skl)),implies(necessarily(sK62_skl),necessarily(sK63_skl))))
| axiom_K )
& ( ! [X,Y] : is_a_theorem(implies(necessarily(implies(X,Y)),implies(necessarily(X),necessarily(Y))))
| ~ axiom_K ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62_skl,sK63_skl]),skolemize(X,sK62_skl),skolemize(Y,sK63_skl)],[f247]) ).
fof(f249,plain,
! [X0,X1] :
( is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))
| ~ axiom_K ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f251,plain,
( ( ? [X] : ~ is_a_theorem(implies(necessarily(X),X))
| axiom_M )
& ( ! [X] : is_a_theorem(implies(necessarily(X),X))
| ~ axiom_M ) ),
inference(NNF_transformation,[status(thm)],[f55]) ).
fof(f252,plain,
( ( ~ is_a_theorem(implies(necessarily(sK64_skl),sK64_skl))
| axiom_M )
& ( ! [X] : is_a_theorem(implies(necessarily(X),X))
| ~ axiom_M ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64_skl]),skolemize(X,sK64_skl)],[f251]) ).
fof(f253,plain,
! [X0] :
( is_a_theorem(implies(necessarily(X0),X0))
| ~ axiom_M ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f255,plain,
( ( ? [X] : ~ is_a_theorem(implies(necessarily(X),necessarily(necessarily(X))))
| axiom_4 )
& ( ! [X] : is_a_theorem(implies(necessarily(X),necessarily(necessarily(X))))
| ~ axiom_4 ) ),
inference(NNF_transformation,[status(thm)],[f56]) ).
fof(f256,plain,
( ( ~ is_a_theorem(implies(necessarily(sK65_skl),necessarily(necessarily(sK65_skl))))
| axiom_4 )
& ( ! [X] : is_a_theorem(implies(necessarily(X),necessarily(necessarily(X))))
| ~ axiom_4 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65_skl]),skolemize(X,sK65_skl)],[f255]) ).
fof(f257,plain,
! [X0] :
( is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
| ~ axiom_4 ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f258,plain,
( ~ is_a_theorem(implies(necessarily(sK65_skl),necessarily(necessarily(sK65_skl))))
| axiom_4 ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f259,plain,
( ( ? [X] : ~ is_a_theorem(implies(X,necessarily(possibly(X))))
| axiom_B )
& ( ! [X] : is_a_theorem(implies(X,necessarily(possibly(X))))
| ~ axiom_B ) ),
inference(NNF_transformation,[status(thm)],[f57]) ).
fof(f260,plain,
( ( ~ is_a_theorem(implies(sK66_skl,necessarily(possibly(sK66_skl))))
| axiom_B )
& ( ! [X] : is_a_theorem(implies(X,necessarily(possibly(X))))
| ~ axiom_B ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66_skl]),skolemize(X,sK66_skl)],[f259]) ).
fof(f261,plain,
! [X0] :
( is_a_theorem(implies(X0,necessarily(possibly(X0))))
| ~ axiom_B ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f262,plain,
( ~ is_a_theorem(implies(sK66_skl,necessarily(possibly(sK66_skl))))
| axiom_B ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f263,plain,
( ( ? [X] : ~ is_a_theorem(implies(possibly(X),necessarily(possibly(X))))
| axiom_5 )
& ( ! [X] : is_a_theorem(implies(possibly(X),necessarily(possibly(X))))
| ~ axiom_5 ) ),
inference(NNF_transformation,[status(thm)],[f58]) ).
fof(f264,plain,
( ( ~ is_a_theorem(implies(possibly(sK67_skl),necessarily(possibly(sK67_skl))))
| axiom_5 )
& ( ! [X] : is_a_theorem(implies(possibly(X),necessarily(possibly(X))))
| ~ axiom_5 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67_skl]),skolemize(X,sK67_skl)],[f263]) ).
fof(f265,plain,
! [X0] :
( is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
| ~ axiom_5 ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f267,plain,
( ( ? [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))))
| ~ axiom_s1 ) ),
inference(NNF_transformation,[status(thm)],[f59]) ).
fof(f268,plain,
( ( ~ is_a_theorem(implies(and(necessarily(implies(sK68_skl,sK69_skl)),necessarily(implies(sK69_skl,sK70_skl))),necessarily(implies(sK68_skl,sK70_skl))))
| axiom_s1 )
& ( ! [X,Y,Z] : is_a_theorem(implies(and(necessarily(implies(X,Y)),necessarily(implies(Y,Z))),necessarily(implies(X,Z))))
| ~ axiom_s1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68_skl,sK69_skl,sK70_skl]),skolemize(X,sK68_skl),skolemize(Y,sK69_skl),skolemize(Z,sK70_skl)],[f267]) ).
fof(f269,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(and(necessarily(implies(X0,X1)),necessarily(implies(X1,X2))),necessarily(implies(X0,X2))))
| ~ axiom_s1 ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f270,plain,
( ~ is_a_theorem(implies(and(necessarily(implies(sK68_skl,sK69_skl)),necessarily(implies(sK69_skl,sK70_skl))),necessarily(implies(sK68_skl,sK70_skl))))
| axiom_s1 ),
inference(cnf_transformation,[status(thm)],[f268]) ).
fof(f271,plain,
( ( ? [P,Q] : ~ is_a_theorem(strict_implies(possibly(and(P,Q)),and(possibly(P),possibly(Q))))
| axiom_s2 )
& ( ! [P,Q] : is_a_theorem(strict_implies(possibly(and(P,Q)),and(possibly(P),possibly(Q))))
| ~ axiom_s2 ) ),
inference(NNF_transformation,[status(thm)],[f60]) ).
fof(f272,plain,
( ( ~ is_a_theorem(strict_implies(possibly(and(sK71_skl,sK72_skl)),and(possibly(sK71_skl),possibly(sK72_skl))))
| axiom_s2 )
& ( ! [P,Q] : is_a_theorem(strict_implies(possibly(and(P,Q)),and(possibly(P),possibly(Q))))
| ~ axiom_s2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71_skl,sK72_skl]),skolemize(P,sK71_skl),skolemize(Q,sK72_skl)],[f271]) ).
fof(f273,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(possibly(and(X0,X1)),and(possibly(X0),possibly(X1))))
| ~ axiom_s2 ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f274,plain,
( ~ is_a_theorem(strict_implies(possibly(and(sK71_skl,sK72_skl)),and(possibly(sK71_skl),possibly(sK72_skl))))
| axiom_s2 ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f275,plain,
( ( ? [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)))))
| ~ axiom_s3 ) ),
inference(NNF_transformation,[status(thm)],[f61]) ).
fof(f276,plain,
( ( ~ is_a_theorem(strict_implies(strict_implies(sK73_skl,sK74_skl),strict_implies(not(possibly(sK74_skl)),not(possibly(sK73_skl)))))
| axiom_s3 )
& ( ! [X,Y] : is_a_theorem(strict_implies(strict_implies(X,Y),strict_implies(not(possibly(Y)),not(possibly(X)))))
| ~ axiom_s3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73_skl,sK74_skl]),skolemize(X,sK73_skl),skolemize(Y,sK74_skl)],[f275]) ).
fof(f277,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0)))))
| ~ axiom_s3 ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f278,plain,
( ~ is_a_theorem(strict_implies(strict_implies(sK73_skl,sK74_skl),strict_implies(not(possibly(sK74_skl)),not(possibly(sK73_skl)))))
| axiom_s3 ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f279,plain,
( ( ? [X] : ~ is_a_theorem(strict_implies(necessarily(X),necessarily(necessarily(X))))
| axiom_s4 )
& ( ! [X] : is_a_theorem(strict_implies(necessarily(X),necessarily(necessarily(X))))
| ~ axiom_s4 ) ),
inference(NNF_transformation,[status(thm)],[f62]) ).
fof(f280,plain,
( ( ~ is_a_theorem(strict_implies(necessarily(sK75_skl),necessarily(necessarily(sK75_skl))))
| axiom_s4 )
& ( ! [X] : is_a_theorem(strict_implies(necessarily(X),necessarily(necessarily(X))))
| ~ axiom_s4 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75_skl]),skolemize(X,sK75_skl)],[f279]) ).
fof(f281,plain,
! [X0] :
( is_a_theorem(strict_implies(necessarily(X0),necessarily(necessarily(X0))))
| ~ axiom_s4 ),
inference(cnf_transformation,[status(thm)],[f280]) ).
fof(f282,plain,
( ~ is_a_theorem(strict_implies(necessarily(sK75_skl),necessarily(necessarily(sK75_skl))))
| axiom_s4 ),
inference(cnf_transformation,[status(thm)],[f280]) ).
fof(f283,plain,
( ( ? [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)))
| ~ axiom_m1 ) ),
inference(NNF_transformation,[status(thm)],[f63]) ).
fof(f284,plain,
( ( ~ is_a_theorem(strict_implies(and(sK76_skl,sK77_skl),and(sK77_skl,sK76_skl)))
| axiom_m1 )
& ( ! [X,Y] : is_a_theorem(strict_implies(and(X,Y),and(Y,X)))
| ~ axiom_m1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76_skl,sK77_skl]),skolemize(X,sK76_skl),skolemize(Y,sK77_skl)],[f283]) ).
fof(f285,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
| ~ axiom_m1 ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f286,plain,
( ~ is_a_theorem(strict_implies(and(sK76_skl,sK77_skl),and(sK77_skl,sK76_skl)))
| axiom_m1 ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f287,plain,
( ( ? [X,Y] : ~ is_a_theorem(strict_implies(and(X,Y),X))
| axiom_m2 )
& ( ! [X,Y] : is_a_theorem(strict_implies(and(X,Y),X))
| ~ axiom_m2 ) ),
inference(NNF_transformation,[status(thm)],[f64]) ).
fof(f288,plain,
( ( ~ is_a_theorem(strict_implies(and(sK78_skl,sK79_skl),sK78_skl))
| axiom_m2 )
& ( ! [X,Y] : is_a_theorem(strict_implies(and(X,Y),X))
| ~ axiom_m2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78_skl,sK79_skl]),skolemize(X,sK78_skl),skolemize(Y,sK79_skl)],[f287]) ).
fof(f289,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(and(X0,X1),X0))
| ~ axiom_m2 ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f290,plain,
( ~ is_a_theorem(strict_implies(and(sK78_skl,sK79_skl),sK78_skl))
| axiom_m2 ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f291,plain,
( ( ? [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))))
| ~ axiom_m3 ) ),
inference(NNF_transformation,[status(thm)],[f65]) ).
fof(f292,plain,
( ( ~ is_a_theorem(strict_implies(and(and(sK80_skl,sK81_skl),sK82_skl),and(sK80_skl,and(sK81_skl,sK82_skl))))
| axiom_m3 )
& ( ! [X,Y,Z] : is_a_theorem(strict_implies(and(and(X,Y),Z),and(X,and(Y,Z))))
| ~ axiom_m3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80_skl,sK81_skl,sK82_skl]),skolemize(X,sK80_skl),skolemize(Y,sK81_skl),skolemize(Z,sK82_skl)],[f291]) ).
fof(f293,plain,
! [X0,X1,X2] :
( is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))
| ~ axiom_m3 ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f294,plain,
( ~ is_a_theorem(strict_implies(and(and(sK80_skl,sK81_skl),sK82_skl),and(sK80_skl,and(sK81_skl,sK82_skl))))
| axiom_m3 ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f295,plain,
( ( ? [X] : ~ is_a_theorem(strict_implies(X,and(X,X)))
| axiom_m4 )
& ( ! [X] : is_a_theorem(strict_implies(X,and(X,X)))
| ~ axiom_m4 ) ),
inference(NNF_transformation,[status(thm)],[f66]) ).
fof(f296,plain,
( ( ~ is_a_theorem(strict_implies(sK83_skl,and(sK83_skl,sK83_skl)))
| axiom_m4 )
& ( ! [X] : is_a_theorem(strict_implies(X,and(X,X)))
| ~ axiom_m4 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83_skl]),skolemize(X,sK83_skl)],[f295]) ).
fof(f297,plain,
! [X0] :
( is_a_theorem(strict_implies(X0,and(X0,X0)))
| ~ axiom_m4 ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f298,plain,
( ~ is_a_theorem(strict_implies(sK83_skl,and(sK83_skl,sK83_skl)))
| axiom_m4 ),
inference(cnf_transformation,[status(thm)],[f296]) ).
fof(f299,plain,
( ( ? [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)))
| ~ axiom_m5 ) ),
inference(NNF_transformation,[status(thm)],[f67]) ).
fof(f300,plain,
( ( ~ is_a_theorem(strict_implies(and(strict_implies(sK84_skl,sK85_skl),strict_implies(sK85_skl,sK86_skl)),strict_implies(sK84_skl,sK86_skl)))
| 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 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK84_skl,sK85_skl,sK86_skl]),skolemize(X,sK84_skl),skolemize(Y,sK85_skl),skolemize(Z,sK86_skl)],[f299]) ).
fof(f301,plain,
! [X0,X1,X2] :
( is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))
| ~ axiom_m5 ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f302,plain,
( ~ is_a_theorem(strict_implies(and(strict_implies(sK84_skl,sK85_skl),strict_implies(sK85_skl,sK86_skl)),strict_implies(sK84_skl,sK86_skl)))
| axiom_m5 ),
inference(cnf_transformation,[status(thm)],[f300]) ).
fof(f303,plain,
( ( ? [X] : ~ is_a_theorem(strict_implies(X,possibly(X)))
| axiom_m6 )
& ( ! [X] : is_a_theorem(strict_implies(X,possibly(X)))
| ~ axiom_m6 ) ),
inference(NNF_transformation,[status(thm)],[f68]) ).
fof(f304,plain,
( ( ~ is_a_theorem(strict_implies(sK87_skl,possibly(sK87_skl)))
| axiom_m6 )
& ( ! [X] : is_a_theorem(strict_implies(X,possibly(X)))
| ~ axiom_m6 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87_skl]),skolemize(X,sK87_skl)],[f303]) ).
fof(f305,plain,
! [X0] :
( is_a_theorem(strict_implies(X0,possibly(X0)))
| ~ axiom_m6 ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f306,plain,
( ~ is_a_theorem(strict_implies(sK87_skl,possibly(sK87_skl)))
| axiom_m6 ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f307,plain,
( ( ? [P,Q] : ~ is_a_theorem(strict_implies(possibly(and(P,Q)),P))
| axiom_m7 )
& ( ! [P,Q] : is_a_theorem(strict_implies(possibly(and(P,Q)),P))
| ~ axiom_m7 ) ),
inference(NNF_transformation,[status(thm)],[f69]) ).
fof(f308,plain,
( ( ~ is_a_theorem(strict_implies(possibly(and(sK88_skl,sK89_skl)),sK88_skl))
| axiom_m7 )
& ( ! [P,Q] : is_a_theorem(strict_implies(possibly(and(P,Q)),P))
| ~ axiom_m7 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK88_skl,sK89_skl]),skolemize(P,sK88_skl),skolemize(Q,sK89_skl)],[f307]) ).
fof(f309,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(possibly(and(X0,X1)),X0))
| ~ axiom_m7 ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f310,plain,
( ~ is_a_theorem(strict_implies(possibly(and(sK88_skl,sK89_skl)),sK88_skl))
| axiom_m7 ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f311,plain,
( ( ? [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))))
| ~ axiom_m8 ) ),
inference(NNF_transformation,[status(thm)],[f70]) ).
fof(f312,plain,
( ( ~ is_a_theorem(strict_implies(strict_implies(sK90_skl,sK91_skl),strict_implies(possibly(sK90_skl),possibly(sK91_skl))))
| axiom_m8 )
& ( ! [P,Q] : is_a_theorem(strict_implies(strict_implies(P,Q),strict_implies(possibly(P),possibly(Q))))
| ~ axiom_m8 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK90_skl,sK91_skl]),skolemize(P,sK90_skl),skolemize(Q,sK91_skl)],[f311]) ).
fof(f313,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(X0),possibly(X1))))
| ~ axiom_m8 ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f314,plain,
( ~ is_a_theorem(strict_implies(strict_implies(sK90_skl,sK91_skl),strict_implies(possibly(sK90_skl),possibly(sK91_skl))))
| axiom_m8 ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f315,plain,
( ( ? [X] : ~ is_a_theorem(strict_implies(possibly(possibly(X)),possibly(X)))
| axiom_m9 )
& ( ! [X] : is_a_theorem(strict_implies(possibly(possibly(X)),possibly(X)))
| ~ axiom_m9 ) ),
inference(NNF_transformation,[status(thm)],[f71]) ).
fof(f316,plain,
( ( ~ is_a_theorem(strict_implies(possibly(possibly(sK92_skl)),possibly(sK92_skl)))
| axiom_m9 )
& ( ! [X] : is_a_theorem(strict_implies(possibly(possibly(X)),possibly(X)))
| ~ axiom_m9 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK92_skl]),skolemize(X,sK92_skl)],[f315]) ).
fof(f317,plain,
! [X0] :
( is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0)))
| ~ axiom_m9 ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f318,plain,
( ~ is_a_theorem(strict_implies(possibly(possibly(sK92_skl)),possibly(sK92_skl)))
| axiom_m9 ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f319,plain,
( ( ? [X] : ~ is_a_theorem(strict_implies(possibly(X),necessarily(possibly(X))))
| axiom_m10 )
& ( ! [X] : is_a_theorem(strict_implies(possibly(X),necessarily(possibly(X))))
| ~ axiom_m10 ) ),
inference(NNF_transformation,[status(thm)],[f72]) ).
fof(f320,plain,
( ( ~ is_a_theorem(strict_implies(possibly(sK93_skl),necessarily(possibly(sK93_skl))))
| axiom_m10 )
& ( ! [X] : is_a_theorem(strict_implies(possibly(X),necessarily(possibly(X))))
| ~ axiom_m10 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK93_skl]),skolemize(X,sK93_skl)],[f319]) ).
fof(f321,plain,
! [X0] :
( is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))
| ~ axiom_m10 ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f322,plain,
( ~ is_a_theorem(strict_implies(possibly(sK93_skl),necessarily(possibly(sK93_skl))))
| axiom_m10 ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f323,plain,
( ! [X] : possibly(X) = not(necessarily(not(X)))
| ~ op_possibly ),
inference(pre_NNF_transformation,[status(thm)],[f73]) ).
fof(f324,plain,
! [X0] :
( possibly(X0) = not(necessarily(not(X0)))
| ~ op_possibly ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f325,plain,
( ! [X] : necessarily(X) = not(possibly(not(X)))
| ~ op_necessarily ),
inference(pre_NNF_transformation,[status(thm)],[f74]) ).
fof(f326,plain,
! [X0] :
( necessarily(X0) = not(possibly(not(X0)))
| ~ op_necessarily ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f327,plain,
( ! [X,Y] : strict_implies(X,Y) = necessarily(implies(X,Y))
| ~ op_strict_implies ),
inference(pre_NNF_transformation,[status(thm)],[f75]) ).
fof(f328,plain,
! [X0,X1] :
( strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f329,plain,
( ! [X,Y] : strict_equiv(X,Y) = and(strict_implies(X,Y),strict_implies(Y,X))
| ~ op_strict_equiv ),
inference(pre_NNF_transformation,[status(thm)],[f76]) ).
fof(f330,plain,
! [X0,X1] :
( strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))
| ~ op_strict_equiv ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f331,plain,
op_possibly,
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f332,plain,
necessitation,
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f333,plain,
axiom_K,
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f334,plain,
axiom_M,
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f335,plain,
axiom_5,
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f336,definition,
( sQ0_spl
<=> modus_ponens ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( sQ0_spl
| ~ modus_ponens ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,definition,
! [X0,X1] :
( sQ1_spl
<=> ( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f340,plain,
! [X0,X1] :
( ~ sQ1_spl
| is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f86,f336,f339]) ).
fof(f343,definition,
( sQ2_spl
<=> is_a_theorem(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ2_spl
| is_a_theorem(sK1_skl) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f347,definition,
( sQ3_spl
<=> is_a_theorem(implies(sK1_skl,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( ~ sQ3_spl
| is_a_theorem(implies(sK1_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f351,definition,
( sQ4_spl
<=> is_a_theorem(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( sQ4_spl
| ~ is_a_theorem(sK0_skl) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f355,definition,
( sQ5_spl
<=> substitution_of_equivalents ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( sQ5_spl
| ~ substitution_of_equivalents ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,definition,
! [X0,X1] :
( sQ6_spl
<=> ( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f359,plain,
! [X0,X1] :
( ~ sQ6_spl
| X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f93,f355,f358]) ).
fof(f362,definition,
( sQ7_spl
<=> is_a_theorem(equiv(sK2_skl,sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ7_spl
| is_a_theorem(equiv(sK2_skl,sK3_skl)) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f366,definition,
( sQ8_spl
<=> sK2_skl = sK3_skl ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( sQ8_spl
| sK2_skl != sK3_skl ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f370,definition,
( sQ9_spl
<=> modus_tollens ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( sQ9_spl
| ~ modus_tollens ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
! [X0,X1] :
( sQ10_spl
<=> is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f374,plain,
! [X0,X1] :
( ~ sQ10_spl
| is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,plain,
( sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f98,f370,f373]) ).
fof(f377,definition,
( sQ11_spl
<=> is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ11_spl
| is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f379,plain,
( sQ11_spl
| ~ is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f381,definition,
( sQ12_spl
<=> implies_1 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( sQ12_spl
| ~ implies_1 ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,definition,
! [X0,X1] :
( sQ13_spl
<=> is_a_theorem(implies(X0,implies(X1,X0))) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f385,plain,
! [X0,X1] :
( ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f102,f381,f384]) ).
fof(f388,definition,
( sQ14_spl
<=> is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl))) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ14_spl
| is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl))) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f390,plain,
( sQ14_spl
| ~ is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl))) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f392,definition,
( sQ15_spl
<=> implies_2 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( sQ15_spl
| ~ implies_2 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
! [X0,X1] :
( sQ16_spl
<=> is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f396,plain,
! [X0,X1] :
( ~ sQ16_spl
| is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f106,f392,f395]) ).
fof(f399,definition,
( sQ17_spl
<=> is_a_theorem(implies(implies(sK8_skl,implies(sK8_skl,sK9_skl)),implies(sK8_skl,sK9_skl))) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ17_spl
| is_a_theorem(implies(implies(sK8_skl,implies(sK8_skl,sK9_skl)),implies(sK8_skl,sK9_skl))) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f401,plain,
( sQ17_spl
| ~ is_a_theorem(implies(implies(sK8_skl,implies(sK8_skl,sK9_skl)),implies(sK8_skl,sK9_skl))) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f403,definition,
( sQ18_spl
<=> implies_3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( sQ18_spl
| ~ implies_3 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,definition,
! [X0,X1,X2] :
( sQ19_spl
<=> is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f407,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( sQ19_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f110,f403,f406]) ).
fof(f410,definition,
( sQ20_spl
<=> is_a_theorem(implies(implies(sK10_skl,sK11_skl),implies(implies(sK11_skl,sK12_skl),implies(sK10_skl,sK12_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( ~ sQ20_spl
| is_a_theorem(implies(implies(sK10_skl,sK11_skl),implies(implies(sK11_skl,sK12_skl),implies(sK10_skl,sK12_skl)))) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f412,plain,
( sQ20_spl
| ~ is_a_theorem(implies(implies(sK10_skl,sK11_skl),implies(implies(sK11_skl,sK12_skl),implies(sK10_skl,sK12_skl)))) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f414,definition,
( sQ21_spl
<=> and_1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( sQ21_spl
| ~ and_1 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
! [X0,X1] :
( sQ22_spl
<=> is_a_theorem(implies(and(X0,X1),X0)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f418,plain,
! [X0,X1] :
( ~ sQ22_spl
| is_a_theorem(implies(and(X0,X1),X0)) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f114,f414,f417]) ).
fof(f421,definition,
( sQ23_spl
<=> is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ23_spl
| is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl)) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f423,plain,
( sQ23_spl
| ~ is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl)) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f425,definition,
( sQ24_spl
<=> and_2 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( sQ24_spl
| ~ and_2 ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
! [X0,X1] :
( sQ25_spl
<=> is_a_theorem(implies(and(X0,X1),X1)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f429,plain,
! [X0,X1] :
( ~ sQ25_spl
| is_a_theorem(implies(and(X0,X1),X1)) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f118,f425,f428]) ).
fof(f432,definition,
( sQ26_spl
<=> is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ26_spl
| is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl)) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f434,plain,
( sQ26_spl
| ~ is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl)) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f436,definition,
( sQ27_spl
<=> and_3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( sQ27_spl
| ~ and_3 ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
! [X0,X1] :
( sQ28_spl
<=> is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f440,plain,
! [X0,X1] :
( ~ sQ28_spl
| is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( sQ28_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f122,f436,f439]) ).
fof(f443,definition,
( sQ29_spl
<=> is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ29_spl
| is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl)))) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f445,plain,
( sQ29_spl
| ~ is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl)))) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f447,definition,
( sQ30_spl
<=> or_1 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( sQ30_spl
| ~ or_1 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
! [X0,X1] :
( sQ31_spl
<=> is_a_theorem(implies(X0,or(X0,X1))) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f451,plain,
! [X0,X1] :
( ~ sQ31_spl
| is_a_theorem(implies(X0,or(X0,X1))) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f126,f447,f450]) ).
fof(f454,definition,
( sQ32_spl
<=> is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl))) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ32_spl
| is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl))) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f456,plain,
( sQ32_spl
| ~ is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl))) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f458,definition,
( sQ33_spl
<=> or_2 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( sQ33_spl
| ~ or_2 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
! [X0,X1] :
( sQ34_spl
<=> is_a_theorem(implies(X0,or(X1,X0))) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f462,plain,
! [X0,X1] :
( ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f130,f458,f461]) ).
fof(f465,definition,
( sQ35_spl
<=> is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl))) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ35_spl
| is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl))) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f467,plain,
( sQ35_spl
| ~ is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl))) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f469,definition,
( sQ36_spl
<=> or_3 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( sQ36_spl
| ~ or_3 ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,definition,
! [X0,X1,X2] :
( sQ37_spl
<=> is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1)))) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f473,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1)))) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( sQ37_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f134,f469,f472]) ).
fof(f476,definition,
( sQ38_spl
<=> is_a_theorem(implies(implies(sK23_skl,sK25_skl),implies(implies(sK24_skl,sK25_skl),implies(or(sK23_skl,sK24_skl),sK25_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ38_spl
| is_a_theorem(implies(implies(sK23_skl,sK25_skl),implies(implies(sK24_skl,sK25_skl),implies(or(sK23_skl,sK24_skl),sK25_skl)))) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f478,plain,
( sQ38_spl
| ~ is_a_theorem(implies(implies(sK23_skl,sK25_skl),implies(implies(sK24_skl,sK25_skl),implies(or(sK23_skl,sK24_skl),sK25_skl)))) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f480,definition,
( sQ39_spl
<=> equivalence_1 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( sQ39_spl
| ~ equivalence_1 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,definition,
! [X0,X1] :
( sQ40_spl
<=> is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f484,plain,
! [X0,X1] :
( ~ sQ40_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( sQ40_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f138,f480,f483]) ).
fof(f487,definition,
( sQ41_spl
<=> is_a_theorem(implies(equiv(sK26_skl,sK27_skl),implies(sK26_skl,sK27_skl))) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ41_spl
| is_a_theorem(implies(equiv(sK26_skl,sK27_skl),implies(sK26_skl,sK27_skl))) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f489,plain,
( sQ41_spl
| ~ is_a_theorem(implies(equiv(sK26_skl,sK27_skl),implies(sK26_skl,sK27_skl))) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f491,definition,
( sQ42_spl
<=> equivalence_2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( sQ42_spl
| ~ equivalence_2 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
! [X0,X1] :
( sQ43_spl
<=> is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f495,plain,
! [X0,X1] :
( ~ sQ43_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( sQ43_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f142,f491,f494]) ).
fof(f498,definition,
( sQ44_spl
<=> is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl))) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ44_spl
| is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl))) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f500,plain,
( sQ44_spl
| ~ is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl))) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f502,definition,
( sQ45_spl
<=> equivalence_3 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( sQ45_spl
| ~ equivalence_3 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
! [X0,X1] :
( sQ46_spl
<=> is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f506,plain,
! [X0,X1] :
( ~ sQ46_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( sQ46_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f146,f502,f505]) ).
fof(f509,definition,
( sQ47_spl
<=> is_a_theorem(implies(implies(sK30_skl,sK31_skl),implies(implies(sK31_skl,sK30_skl),equiv(sK30_skl,sK31_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ47_spl
| is_a_theorem(implies(implies(sK30_skl,sK31_skl),implies(implies(sK31_skl,sK30_skl),equiv(sK30_skl,sK31_skl)))) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ47_spl
| ~ is_a_theorem(implies(implies(sK30_skl,sK31_skl),implies(implies(sK31_skl,sK30_skl),equiv(sK30_skl,sK31_skl)))) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f513,definition,
( sQ48_spl
<=> kn1 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ48_spl
| kn1 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f515,plain,
( sQ48_spl
| ~ kn1 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,definition,
! [X0] :
( sQ49_spl
<=> is_a_theorem(implies(X0,and(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f517,plain,
! [X0] :
( ~ sQ49_spl
| is_a_theorem(implies(X0,and(X0,X0))) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( sQ49_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f150,f513,f516]) ).
fof(f520,definition,
( sQ50_spl
<=> is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl))) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( ~ sQ50_spl
| is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl))) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f522,plain,
( sQ50_spl
| ~ is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl))) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( ~ sQ50_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f151,f513,f520]) ).
fof(f524,definition,
( sQ51_spl
<=> kn2 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( ~ sQ51_spl
| kn2 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f526,plain,
( sQ51_spl
| ~ kn2 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( sQ22_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f154,f524,f417]) ).
fof(f528,definition,
( sQ52_spl
<=> is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl)) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ52_spl
| is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl)) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f530,plain,
( sQ52_spl
| ~ is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl)) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( ~ sQ52_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f155,f524,f528]) ).
fof(f532,definition,
( sQ53_spl
<=> kn3 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ53_spl
| kn3 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f534,plain,
( sQ53_spl
| ~ kn3 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,definition,
! [X0,X1,X2] :
( sQ54_spl
<=> is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f536,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( sQ54_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f158,f532,f535]) ).
fof(f539,definition,
( sQ55_spl
<=> is_a_theorem(implies(implies(sK35_skl,sK36_skl),implies(not(and(sK36_skl,sK37_skl)),not(and(sK37_skl,sK35_skl))))) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ55_spl
| is_a_theorem(implies(implies(sK35_skl,sK36_skl),implies(not(and(sK36_skl,sK37_skl)),not(and(sK37_skl,sK35_skl))))) ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f541,plain,
( sQ55_spl
| ~ is_a_theorem(implies(implies(sK35_skl,sK36_skl),implies(not(and(sK36_skl,sK37_skl)),not(and(sK37_skl,sK35_skl))))) ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,plain,
( ~ sQ55_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f159,f532,f539]) ).
fof(f543,definition,
( sQ56_spl
<=> cn1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( ~ sQ56_spl
| cn1 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f545,plain,
( sQ56_spl
| ~ cn1 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( sQ19_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f162,f543,f406]) ).
fof(f547,definition,
( sQ57_spl
<=> is_a_theorem(implies(implies(sK38_skl,sK39_skl),implies(implies(sK39_skl,sK40_skl),implies(sK38_skl,sK40_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( ~ sQ57_spl
| is_a_theorem(implies(implies(sK38_skl,sK39_skl),implies(implies(sK39_skl,sK40_skl),implies(sK38_skl,sK40_skl)))) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f549,plain,
( sQ57_spl
| ~ is_a_theorem(implies(implies(sK38_skl,sK39_skl),implies(implies(sK39_skl,sK40_skl),implies(sK38_skl,sK40_skl)))) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,plain,
( ~ sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f163,f543,f547]) ).
fof(f551,definition,
( sQ58_spl
<=> cn2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ58_spl
| cn2 ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f553,plain,
( sQ58_spl
| ~ cn2 ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,definition,
! [X0,X1] :
( sQ59_spl
<=> is_a_theorem(implies(X0,implies(not(X0),X1))) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f555,plain,
! [X0,X1] :
( ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,plain,
( sQ59_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f166,f551,f554]) ).
fof(f558,definition,
( sQ60_spl
<=> is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl))) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ60_spl
| is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl))) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f560,plain,
( sQ60_spl
| ~ is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl))) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( ~ sQ60_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f167,f551,f558]) ).
fof(f562,definition,
( sQ61_spl
<=> cn3 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f563,plain,
( ~ sQ61_spl
| cn3 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f564,plain,
( sQ61_spl
| ~ cn3 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,definition,
! [X0] :
( sQ62_spl
<=> is_a_theorem(implies(implies(not(X0),X0),X0)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f566,plain,
! [X0] :
( ~ sQ62_spl
| is_a_theorem(implies(implies(not(X0),X0),X0)) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,plain,
( sQ62_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f170,f562,f565]) ).
fof(f569,definition,
( sQ63_spl
<=> is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl)) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f570,plain,
( ~ sQ63_spl
| is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl)) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f571,plain,
( sQ63_spl
| ~ is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl)) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( ~ sQ63_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f171,f562,f569]) ).
fof(f573,definition,
( sQ64_spl
<=> r1 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( ~ sQ64_spl
| r1 ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f575,plain,
( sQ64_spl
| ~ r1 ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,definition,
! [X0] :
( sQ65_spl
<=> is_a_theorem(implies(or(X0,X0),X0)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f577,plain,
! [X0] :
( ~ sQ65_spl
| is_a_theorem(implies(or(X0,X0),X0)) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( sQ65_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f174,f573,f576]) ).
fof(f580,definition,
( sQ66_spl
<=> is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl)) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ66_spl
| is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl)) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f582,plain,
( sQ66_spl
| ~ is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl)) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( ~ sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f175,f573,f580]) ).
fof(f584,definition,
( sQ67_spl
<=> r2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ67_spl
| r2 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f586,plain,
( sQ67_spl
| ~ r2 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( sQ34_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f178,f584,f461]) ).
fof(f588,definition,
( sQ68_spl
<=> is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl))) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ68_spl
| is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl))) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f590,plain,
( sQ68_spl
| ~ is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl))) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,plain,
( ~ sQ68_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f179,f584,f588]) ).
fof(f592,definition,
( sQ69_spl
<=> r3 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( ~ sQ69_spl
| r3 ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f594,plain,
( sQ69_spl
| ~ r3 ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,definition,
! [X0,X1] :
( sQ70_spl
<=> is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f596,plain,
! [X0,X1] :
( ~ sQ70_spl
| is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( sQ70_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f182,f592,f595]) ).
fof(f599,definition,
( sQ71_spl
<=> is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl))) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ71_spl
| is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl))) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f601,plain,
( sQ71_spl
| ~ is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl))) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( ~ sQ71_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f183,f592,f599]) ).
fof(f603,definition,
( sQ72_spl
<=> r4 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ72_spl
| r4 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f605,plain,
( sQ72_spl
| ~ r4 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,definition,
! [X0,X1,X2] :
( sQ73_spl
<=> is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f607,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( sQ73_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f186,f603,f606]) ).
fof(f610,definition,
( sQ74_spl
<=> is_a_theorem(implies(or(sK49_skl,or(sK50_skl,sK51_skl)),or(sK50_skl,or(sK49_skl,sK51_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ74_spl
| is_a_theorem(implies(or(sK49_skl,or(sK50_skl,sK51_skl)),or(sK50_skl,or(sK49_skl,sK51_skl)))) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( sQ74_spl
| ~ is_a_theorem(implies(or(sK49_skl,or(sK50_skl,sK51_skl)),or(sK50_skl,or(sK49_skl,sK51_skl)))) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( ~ sQ74_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f187,f603,f610]) ).
fof(f614,definition,
( sQ75_spl
<=> r5 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ75_spl
| r5 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f616,plain,
( sQ75_spl
| ~ r5 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,definition,
! [X0,X1,X2] :
( sQ76_spl
<=> is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f618,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,plain,
( sQ76_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f190,f614,f617]) ).
fof(f621,definition,
( sQ77_spl
<=> is_a_theorem(implies(implies(sK53_skl,sK54_skl),implies(or(sK52_skl,sK53_skl),or(sK52_skl,sK54_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ77_spl
| is_a_theorem(implies(implies(sK53_skl,sK54_skl),implies(or(sK52_skl,sK53_skl),or(sK52_skl,sK54_skl)))) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f623,plain,
( sQ77_spl
| ~ is_a_theorem(implies(implies(sK53_skl,sK54_skl),implies(or(sK52_skl,sK53_skl),or(sK52_skl,sK54_skl)))) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,plain,
( ~ sQ77_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f191,f614,f621]) ).
fof(f625,definition,
( sQ78_spl
<=> op_or ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( sQ78_spl
| ~ op_or ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,definition,
! [X0,X1] :
( sQ79_spl
<=> or(X0,X1) = not(and(not(X0),not(X1))) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f629,plain,
! [X0,X1] :
( ~ sQ79_spl
| or(X0,X1) = not(and(not(X0),not(X1))) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( sQ79_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f193,f625,f628]) ).
fof(f632,definition,
( sQ80_spl
<=> op_and ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( sQ80_spl
| ~ op_and ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,definition,
! [X0,X1] :
( sQ81_spl
<=> and(X0,X1) = not(or(not(X0),not(X1))) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( sQ81_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f195,f632,f635]) ).
fof(f639,definition,
( sQ82_spl
<=> op_implies_and ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( sQ82_spl
| ~ op_implies_and ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,definition,
! [X0,X1] :
( sQ83_spl
<=> implies(X0,X1) = not(and(X0,not(X1))) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f643,plain,
! [X0,X1] :
( ~ sQ83_spl
| implies(X0,X1) = not(and(X0,not(X1))) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( sQ83_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f197,f639,f642]) ).
fof(f646,definition,
( sQ84_spl
<=> op_implies_or ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( sQ84_spl
| ~ op_implies_or ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,definition,
! [X0,X1] :
( sQ85_spl
<=> implies(X0,X1) = or(not(X0),X1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( sQ85_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f199,f646,f649]) ).
fof(f653,definition,
( sQ86_spl
<=> op_equiv ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( sQ86_spl
| ~ op_equiv ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
! [X0,X1] :
( sQ87_spl
<=> equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f657,plain,
! [X0,X1] :
( ~ sQ87_spl
| equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( sQ87_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f201,f653,f656]) ).
fof(f660,definition,
( sQ88_spl
<=> necessitation ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( sQ88_spl
| ~ necessitation ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,definition,
! [X0] :
( sQ89_spl
<=> ( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f664,plain,
! [X0] :
( ~ sQ89_spl
| is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,plain,
( sQ89_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f223,f660,f663]) ).
fof(f667,definition,
( sQ90_spl
<=> is_a_theorem(sK55_skl) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( ~ sQ90_spl
| is_a_theorem(sK55_skl) ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f671,definition,
( sQ91_spl
<=> is_a_theorem(necessarily(sK55_skl)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f673,plain,
( sQ91_spl
| ~ is_a_theorem(necessarily(sK55_skl)) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f675,definition,
( sQ92_spl
<=> modus_ponens_strict_implies ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f676,plain,
( ~ sQ92_spl
| modus_ponens_strict_implies ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f677,plain,
( sQ92_spl
| ~ modus_ponens_strict_implies ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,definition,
! [X0,X1] :
( sQ93_spl
<=> ( is_a_theorem(X1)
| ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f679,plain,
! [X0,X1] :
( ~ sQ93_spl
| is_a_theorem(X1)
| ~ is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( sQ93_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f230,f675,f678]) ).
fof(f682,definition,
( sQ94_spl
<=> is_a_theorem(sK57_skl) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f683,plain,
( ~ sQ94_spl
| is_a_theorem(sK57_skl) ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f684,plain,
( sQ94_spl
| ~ is_a_theorem(sK57_skl) ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,plain,
( sQ94_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f231,f675,f682]) ).
fof(f686,definition,
( sQ95_spl
<=> is_a_theorem(strict_implies(sK57_skl,sK56_skl)) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( ~ sQ95_spl
| is_a_theorem(strict_implies(sK57_skl,sK56_skl)) ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,plain,
( sQ95_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f232,f675,f686]) ).
fof(f690,definition,
( sQ96_spl
<=> is_a_theorem(sK56_skl) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ96_spl
| is_a_theorem(sK56_skl) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f692,plain,
( sQ96_spl
| ~ is_a_theorem(sK56_skl) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( ~ sQ96_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f233,f675,f690]) ).
fof(f694,definition,
( sQ97_spl
<=> adjunction ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( ~ sQ97_spl
| adjunction ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f696,plain,
( sQ97_spl
| ~ adjunction ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,definition,
! [X0,X1] :
( sQ98_spl
<=> ( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f698,plain,
! [X0,X1] :
( ~ sQ98_spl
| is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,plain,
( sQ98_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f237,f694,f697]) ).
fof(f701,definition,
( sQ99_spl
<=> is_a_theorem(sK58_skl) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( ~ sQ99_spl
| is_a_theorem(sK58_skl) ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f703,plain,
( sQ99_spl
| ~ is_a_theorem(sK58_skl) ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,plain,
( sQ99_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f238,f694,f701]) ).
fof(f705,definition,
( sQ100_spl
<=> is_a_theorem(sK59_skl) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ100_spl
| is_a_theorem(sK59_skl) ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f707,plain,
( sQ100_spl
| ~ is_a_theorem(sK59_skl) ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,plain,
( sQ100_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f239,f694,f705]) ).
fof(f709,definition,
( sQ101_spl
<=> is_a_theorem(and(sK58_skl,sK59_skl)) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( ~ sQ101_spl
| is_a_theorem(and(sK58_skl,sK59_skl)) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f711,plain,
( sQ101_spl
| ~ is_a_theorem(and(sK58_skl,sK59_skl)) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,plain,
( ~ sQ101_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f240,f694,f709]) ).
fof(f713,definition,
( sQ102_spl
<=> substitution_strict_equiv ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f714,plain,
( ~ sQ102_spl
| substitution_strict_equiv ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f715,plain,
( sQ102_spl
| ~ substitution_strict_equiv ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,definition,
! [X0,X1] :
( sQ103_spl
<=> ( X0 = X1
| ~ is_a_theorem(strict_equiv(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f717,plain,
! [X0,X1] :
( ~ sQ103_spl
| X0 = X1
| ~ is_a_theorem(strict_equiv(X0,X1)) ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,plain,
( sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f244,f713,f716]) ).
fof(f720,definition,
( sQ104_spl
<=> is_a_theorem(strict_equiv(sK60_skl,sK61_skl)) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f721,plain,
( ~ sQ104_spl
| is_a_theorem(strict_equiv(sK60_skl,sK61_skl)) ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f722,plain,
( sQ104_spl
| ~ is_a_theorem(strict_equiv(sK60_skl,sK61_skl)) ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( sQ104_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f245,f713,f720]) ).
fof(f724,definition,
( sQ105_spl
<=> sK60_skl = sK61_skl ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f725,plain,
( ~ sQ105_spl
| sK60_skl = sK61_skl ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f726,plain,
( sQ105_spl
| sK60_skl != sK61_skl ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,plain,
( ~ sQ105_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f246,f713,f724]) ).
fof(f728,definition,
( sQ106_spl
<=> axiom_K ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( sQ106_spl
| ~ axiom_K ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,definition,
! [X0,X1] :
( sQ107_spl
<=> is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f732,plain,
! [X0,X1] :
( ~ sQ107_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,plain,
( sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f249,f728,f731]) ).
fof(f735,definition,
( sQ108_spl
<=> is_a_theorem(implies(necessarily(implies(sK62_skl,sK63_skl)),implies(necessarily(sK62_skl),necessarily(sK63_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( ~ sQ108_spl
| is_a_theorem(implies(necessarily(implies(sK62_skl,sK63_skl)),implies(necessarily(sK62_skl),necessarily(sK63_skl)))) ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f737,plain,
( sQ108_spl
| ~ is_a_theorem(implies(necessarily(implies(sK62_skl,sK63_skl)),implies(necessarily(sK62_skl),necessarily(sK63_skl)))) ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f739,definition,
( sQ109_spl
<=> axiom_M ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( sQ109_spl
| ~ axiom_M ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,definition,
! [X0] :
( sQ110_spl
<=> is_a_theorem(implies(necessarily(X0),X0)) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f743,plain,
! [X0] :
( ~ sQ110_spl
| is_a_theorem(implies(necessarily(X0),X0)) ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f253,f739,f742]) ).
fof(f746,definition,
( sQ111_spl
<=> is_a_theorem(implies(necessarily(sK64_skl),sK64_skl)) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ111_spl
| is_a_theorem(implies(necessarily(sK64_skl),sK64_skl)) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f748,plain,
( sQ111_spl
| ~ is_a_theorem(implies(necessarily(sK64_skl),sK64_skl)) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f750,definition,
( sQ112_spl
<=> axiom_4 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( ~ sQ112_spl
| axiom_4 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f752,plain,
( sQ112_spl
| ~ axiom_4 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,definition,
! [X0] :
( sQ113_spl
<=> is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f754,plain,
! [X0] :
( ~ sQ113_spl
| is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,plain,
( sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f257,f750,f753]) ).
fof(f757,definition,
( sQ114_spl
<=> is_a_theorem(implies(necessarily(sK65_skl),necessarily(necessarily(sK65_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ114_spl
| is_a_theorem(implies(necessarily(sK65_skl),necessarily(necessarily(sK65_skl)))) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f759,plain,
( sQ114_spl
| ~ is_a_theorem(implies(necessarily(sK65_skl),necessarily(necessarily(sK65_skl)))) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,plain,
( ~ sQ114_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f258,f750,f757]) ).
fof(f761,definition,
( sQ115_spl
<=> axiom_B ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( ~ sQ115_spl
| axiom_B ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f763,plain,
( sQ115_spl
| ~ axiom_B ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,definition,
! [X0] :
( sQ116_spl
<=> is_a_theorem(implies(X0,necessarily(possibly(X0)))) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f765,plain,
! [X0] :
( ~ sQ116_spl
| is_a_theorem(implies(X0,necessarily(possibly(X0)))) ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,plain,
( sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f261,f761,f764]) ).
fof(f768,definition,
( sQ117_spl
<=> is_a_theorem(implies(sK66_skl,necessarily(possibly(sK66_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ117_spl
| is_a_theorem(implies(sK66_skl,necessarily(possibly(sK66_skl)))) ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f770,plain,
( sQ117_spl
| ~ is_a_theorem(implies(sK66_skl,necessarily(possibly(sK66_skl)))) ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( ~ sQ117_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f262,f761,f768]) ).
fof(f772,definition,
( sQ118_spl
<=> axiom_5 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( sQ118_spl
| ~ axiom_5 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,definition,
! [X0] :
( sQ119_spl
<=> is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f776,plain,
! [X0] :
( ~ sQ119_spl
| is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,plain,
( sQ119_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f265,f772,f775]) ).
fof(f779,definition,
( sQ120_spl
<=> is_a_theorem(implies(possibly(sK67_skl),necessarily(possibly(sK67_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ120_spl
| is_a_theorem(implies(possibly(sK67_skl),necessarily(possibly(sK67_skl)))) ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f781,plain,
( sQ120_spl
| ~ is_a_theorem(implies(possibly(sK67_skl),necessarily(possibly(sK67_skl)))) ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f783,definition,
( sQ121_spl
<=> axiom_s1 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( ~ sQ121_spl
| axiom_s1 ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f785,plain,
( sQ121_spl
| ~ axiom_s1 ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,definition,
! [X0,X1,X2] :
( sQ122_spl
<=> is_a_theorem(implies(and(necessarily(implies(X0,X1)),necessarily(implies(X1,X2))),necessarily(implies(X0,X2)))) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f787,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| is_a_theorem(implies(and(necessarily(implies(X0,X1)),necessarily(implies(X1,X2))),necessarily(implies(X0,X2)))) ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f269,f783,f786]) ).
fof(f790,definition,
( sQ123_spl
<=> is_a_theorem(implies(and(necessarily(implies(sK68_skl,sK69_skl)),necessarily(implies(sK69_skl,sK70_skl))),necessarily(implies(sK68_skl,sK70_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ123_spl
| is_a_theorem(implies(and(necessarily(implies(sK68_skl,sK69_skl)),necessarily(implies(sK69_skl,sK70_skl))),necessarily(implies(sK68_skl,sK70_skl)))) ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f792,plain,
( sQ123_spl
| ~ is_a_theorem(implies(and(necessarily(implies(sK68_skl,sK69_skl)),necessarily(implies(sK69_skl,sK70_skl))),necessarily(implies(sK68_skl,sK70_skl)))) ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,plain,
( ~ sQ123_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f270,f783,f790]) ).
fof(f794,definition,
( sQ124_spl
<=> axiom_s2 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ124_spl
| axiom_s2 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f796,plain,
( sQ124_spl
| ~ axiom_s2 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,definition,
! [X0,X1] :
( sQ125_spl
<=> is_a_theorem(strict_implies(possibly(and(X0,X1)),and(possibly(X0),possibly(X1)))) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f798,plain,
! [X0,X1] :
( ~ sQ125_spl
| is_a_theorem(strict_implies(possibly(and(X0,X1)),and(possibly(X0),possibly(X1)))) ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f800,plain,
( sQ125_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f273,f794,f797]) ).
fof(f801,definition,
( sQ126_spl
<=> is_a_theorem(strict_implies(possibly(and(sK71_skl,sK72_skl)),and(possibly(sK71_skl),possibly(sK72_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( ~ sQ126_spl
| is_a_theorem(strict_implies(possibly(and(sK71_skl,sK72_skl)),and(possibly(sK71_skl),possibly(sK72_skl)))) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f803,plain,
( sQ126_spl
| ~ is_a_theorem(strict_implies(possibly(and(sK71_skl,sK72_skl)),and(possibly(sK71_skl),possibly(sK72_skl)))) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( ~ sQ126_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f274,f794,f801]) ).
fof(f805,definition,
( sQ127_spl
<=> axiom_s3 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f806,plain,
( ~ sQ127_spl
| axiom_s3 ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f807,plain,
( sQ127_spl
| ~ axiom_s3 ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f808,definition,
! [X0,X1] :
( sQ128_spl
<=> is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0))))) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f809,plain,
! [X0,X1] :
( ~ sQ128_spl
| is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0))))) ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f811,plain,
( sQ128_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f277,f805,f808]) ).
fof(f812,definition,
( sQ129_spl
<=> is_a_theorem(strict_implies(strict_implies(sK73_skl,sK74_skl),strict_implies(not(possibly(sK74_skl)),not(possibly(sK73_skl))))) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( ~ sQ129_spl
| is_a_theorem(strict_implies(strict_implies(sK73_skl,sK74_skl),strict_implies(not(possibly(sK74_skl)),not(possibly(sK73_skl))))) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f814,plain,
( sQ129_spl
| ~ is_a_theorem(strict_implies(strict_implies(sK73_skl,sK74_skl),strict_implies(not(possibly(sK74_skl)),not(possibly(sK73_skl))))) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,plain,
( ~ sQ129_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f278,f805,f812]) ).
fof(f816,definition,
( sQ130_spl
<=> axiom_s4 ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ130_spl
| axiom_s4 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f818,plain,
( sQ130_spl
| ~ axiom_s4 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,definition,
! [X0] :
( sQ131_spl
<=> is_a_theorem(strict_implies(necessarily(X0),necessarily(necessarily(X0)))) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f820,plain,
! [X0] :
( ~ sQ131_spl
| is_a_theorem(strict_implies(necessarily(X0),necessarily(necessarily(X0)))) ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,plain,
( sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f281,f816,f819]) ).
fof(f823,definition,
( sQ132_spl
<=> is_a_theorem(strict_implies(necessarily(sK75_skl),necessarily(necessarily(sK75_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( ~ sQ132_spl
| is_a_theorem(strict_implies(necessarily(sK75_skl),necessarily(necessarily(sK75_skl)))) ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f825,plain,
( sQ132_spl
| ~ is_a_theorem(strict_implies(necessarily(sK75_skl),necessarily(necessarily(sK75_skl)))) ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,plain,
( ~ sQ132_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f282,f816,f823]) ).
fof(f827,definition,
( sQ133_spl
<=> axiom_m1 ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f828,plain,
( ~ sQ133_spl
| axiom_m1 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f829,plain,
( sQ133_spl
| ~ axiom_m1 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,definition,
! [X0,X1] :
( sQ134_spl
<=> is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f831,plain,
! [X0,X1] :
( ~ sQ134_spl
| is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,plain,
( sQ134_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f285,f827,f830]) ).
fof(f834,definition,
( sQ135_spl
<=> is_a_theorem(strict_implies(and(sK76_skl,sK77_skl),and(sK77_skl,sK76_skl))) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( ~ sQ135_spl
| is_a_theorem(strict_implies(and(sK76_skl,sK77_skl),and(sK77_skl,sK76_skl))) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f836,plain,
( sQ135_spl
| ~ is_a_theorem(strict_implies(and(sK76_skl,sK77_skl),and(sK77_skl,sK76_skl))) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,plain,
( ~ sQ135_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f286,f827,f834]) ).
fof(f838,definition,
( sQ136_spl
<=> axiom_m2 ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ136_spl
| axiom_m2 ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f840,plain,
( sQ136_spl
| ~ axiom_m2 ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,definition,
! [X0,X1] :
( sQ137_spl
<=> is_a_theorem(strict_implies(and(X0,X1),X0)) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f842,plain,
! [X0,X1] :
( ~ sQ137_spl
| is_a_theorem(strict_implies(and(X0,X1),X0)) ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,plain,
( sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f289,f838,f841]) ).
fof(f845,definition,
( sQ138_spl
<=> is_a_theorem(strict_implies(and(sK78_skl,sK79_skl),sK78_skl)) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( ~ sQ138_spl
| is_a_theorem(strict_implies(and(sK78_skl,sK79_skl),sK78_skl)) ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f847,plain,
( sQ138_spl
| ~ is_a_theorem(strict_implies(and(sK78_skl,sK79_skl),sK78_skl)) ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,plain,
( ~ sQ138_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f290,f838,f845]) ).
fof(f849,definition,
( sQ139_spl
<=> axiom_m3 ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ139_spl
| axiom_m3 ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f851,plain,
( sQ139_spl
| ~ axiom_m3 ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,definition,
! [X0,X1,X2] :
( sQ140_spl
<=> is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f853,plain,
! [X0,X1,X2] :
( ~ sQ140_spl
| is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))) ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,plain,
( sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f293,f849,f852]) ).
fof(f856,definition,
( sQ141_spl
<=> is_a_theorem(strict_implies(and(and(sK80_skl,sK81_skl),sK82_skl),and(sK80_skl,and(sK81_skl,sK82_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f857,plain,
( ~ sQ141_spl
| is_a_theorem(strict_implies(and(and(sK80_skl,sK81_skl),sK82_skl),and(sK80_skl,and(sK81_skl,sK82_skl)))) ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f858,plain,
( sQ141_spl
| ~ is_a_theorem(strict_implies(and(and(sK80_skl,sK81_skl),sK82_skl),and(sK80_skl,and(sK81_skl,sK82_skl)))) ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f859,plain,
( ~ sQ141_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f294,f849,f856]) ).
fof(f860,definition,
( sQ142_spl
<=> axiom_m4 ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f861,plain,
( ~ sQ142_spl
| axiom_m4 ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f862,plain,
( sQ142_spl
| ~ axiom_m4 ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,definition,
! [X0] :
( sQ143_spl
<=> is_a_theorem(strict_implies(X0,and(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f864,plain,
! [X0] :
( ~ sQ143_spl
| is_a_theorem(strict_implies(X0,and(X0,X0))) ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f866,plain,
( sQ143_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f297,f860,f863]) ).
fof(f867,definition,
( sQ144_spl
<=> is_a_theorem(strict_implies(sK83_skl,and(sK83_skl,sK83_skl))) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f868,plain,
( ~ sQ144_spl
| is_a_theorem(strict_implies(sK83_skl,and(sK83_skl,sK83_skl))) ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f869,plain,
( sQ144_spl
| ~ is_a_theorem(strict_implies(sK83_skl,and(sK83_skl,sK83_skl))) ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,plain,
( ~ sQ144_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f298,f860,f867]) ).
fof(f871,definition,
( sQ145_spl
<=> axiom_m5 ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( ~ sQ145_spl
| axiom_m5 ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f873,plain,
( sQ145_spl
| ~ axiom_m5 ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f874,definition,
! [X0,X1,X2] :
( sQ146_spl
<=> is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2))) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f875,plain,
! [X0,X1,X2] :
( ~ sQ146_spl
| is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2))) ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f877,plain,
( sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f301,f871,f874]) ).
fof(f878,definition,
( sQ147_spl
<=> is_a_theorem(strict_implies(and(strict_implies(sK84_skl,sK85_skl),strict_implies(sK85_skl,sK86_skl)),strict_implies(sK84_skl,sK86_skl))) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( ~ sQ147_spl
| is_a_theorem(strict_implies(and(strict_implies(sK84_skl,sK85_skl),strict_implies(sK85_skl,sK86_skl)),strict_implies(sK84_skl,sK86_skl))) ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f880,plain,
( sQ147_spl
| ~ is_a_theorem(strict_implies(and(strict_implies(sK84_skl,sK85_skl),strict_implies(sK85_skl,sK86_skl)),strict_implies(sK84_skl,sK86_skl))) ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,plain,
( ~ sQ147_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f302,f871,f878]) ).
fof(f882,definition,
( sQ148_spl
<=> axiom_m6 ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f883,plain,
( ~ sQ148_spl
| axiom_m6 ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f884,plain,
( sQ148_spl
| ~ axiom_m6 ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,definition,
! [X0] :
( sQ149_spl
<=> is_a_theorem(strict_implies(X0,possibly(X0))) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f886,plain,
! [X0] :
( ~ sQ149_spl
| is_a_theorem(strict_implies(X0,possibly(X0))) ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f305,f882,f885]) ).
fof(f889,definition,
( sQ150_spl
<=> is_a_theorem(strict_implies(sK87_skl,possibly(sK87_skl))) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f890,plain,
( ~ sQ150_spl
| is_a_theorem(strict_implies(sK87_skl,possibly(sK87_skl))) ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f891,plain,
( sQ150_spl
| ~ is_a_theorem(strict_implies(sK87_skl,possibly(sK87_skl))) ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( ~ sQ150_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f306,f882,f889]) ).
fof(f893,definition,
( sQ151_spl
<=> axiom_m7 ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( ~ sQ151_spl
| axiom_m7 ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f895,plain,
( sQ151_spl
| ~ axiom_m7 ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,definition,
! [X0,X1] :
( sQ152_spl
<=> is_a_theorem(strict_implies(possibly(and(X0,X1)),X0)) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f897,plain,
! [X0,X1] :
( ~ sQ152_spl
| is_a_theorem(strict_implies(possibly(and(X0,X1)),X0)) ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f899,plain,
( sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f309,f893,f896]) ).
fof(f900,definition,
( sQ153_spl
<=> is_a_theorem(strict_implies(possibly(and(sK88_skl,sK89_skl)),sK88_skl)) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f901,plain,
( ~ sQ153_spl
| is_a_theorem(strict_implies(possibly(and(sK88_skl,sK89_skl)),sK88_skl)) ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f902,plain,
( sQ153_spl
| ~ is_a_theorem(strict_implies(possibly(and(sK88_skl,sK89_skl)),sK88_skl)) ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f903,plain,
( ~ sQ153_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f310,f893,f900]) ).
fof(f904,definition,
( sQ154_spl
<=> axiom_m8 ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f905,plain,
( ~ sQ154_spl
| axiom_m8 ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f906,plain,
( sQ154_spl
| ~ axiom_m8 ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,definition,
! [X0,X1] :
( sQ155_spl
<=> is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(X0),possibly(X1)))) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f908,plain,
! [X0,X1] :
( ~ sQ155_spl
| is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(X0),possibly(X1)))) ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,plain,
( sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f313,f904,f907]) ).
fof(f911,definition,
( sQ156_spl
<=> is_a_theorem(strict_implies(strict_implies(sK90_skl,sK91_skl),strict_implies(possibly(sK90_skl),possibly(sK91_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( ~ sQ156_spl
| is_a_theorem(strict_implies(strict_implies(sK90_skl,sK91_skl),strict_implies(possibly(sK90_skl),possibly(sK91_skl)))) ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f913,plain,
( sQ156_spl
| ~ is_a_theorem(strict_implies(strict_implies(sK90_skl,sK91_skl),strict_implies(possibly(sK90_skl),possibly(sK91_skl)))) ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,plain,
( ~ sQ156_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f314,f904,f911]) ).
fof(f915,definition,
( sQ157_spl
<=> axiom_m9 ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( ~ sQ157_spl
| axiom_m9 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f917,plain,
( sQ157_spl
| ~ axiom_m9 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,definition,
! [X0] :
( sQ158_spl
<=> is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0))) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f919,plain,
! [X0] :
( ~ sQ158_spl
| is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0))) ),
inference(component_clause,[status(thm)],[f918]) ).
fof(f921,plain,
( sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f317,f915,f918]) ).
fof(f922,definition,
( sQ159_spl
<=> is_a_theorem(strict_implies(possibly(possibly(sK92_skl)),possibly(sK92_skl))) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f923,plain,
( ~ sQ159_spl
| is_a_theorem(strict_implies(possibly(possibly(sK92_skl)),possibly(sK92_skl))) ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f924,plain,
( sQ159_spl
| ~ is_a_theorem(strict_implies(possibly(possibly(sK92_skl)),possibly(sK92_skl))) ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f925,plain,
( ~ sQ159_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f318,f915,f922]) ).
fof(f926,definition,
( sQ160_spl
<=> axiom_m10 ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f927,plain,
( ~ sQ160_spl
| axiom_m10 ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f928,plain,
( sQ160_spl
| ~ axiom_m10 ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f929,definition,
! [X0] :
( sQ161_spl
<=> is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0)))) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f930,plain,
! [X0] :
( ~ sQ161_spl
| is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0)))) ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f932,plain,
( sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f321,f926,f929]) ).
fof(f933,definition,
( sQ162_spl
<=> is_a_theorem(strict_implies(possibly(sK93_skl),necessarily(possibly(sK93_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f934,plain,
( ~ sQ162_spl
| is_a_theorem(strict_implies(possibly(sK93_skl),necessarily(possibly(sK93_skl)))) ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f935,plain,
( sQ162_spl
| ~ is_a_theorem(strict_implies(possibly(sK93_skl),necessarily(possibly(sK93_skl)))) ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f936,plain,
( ~ sQ162_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f322,f926,f933]) ).
fof(f937,definition,
( sQ163_spl
<=> op_possibly ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( sQ163_spl
| ~ op_possibly ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,definition,
! [X0] :
( sQ164_spl
<=> possibly(X0) = not(necessarily(not(X0))) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f941,plain,
! [X0] :
( ~ sQ164_spl
| possibly(X0) = not(necessarily(not(X0))) ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,plain,
( sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f324,f937,f940]) ).
fof(f944,definition,
( sQ165_spl
<=> op_necessarily ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f946,plain,
( sQ165_spl
| ~ op_necessarily ),
inference(component_clause,[status(thm)],[f944]) ).
fof(f947,definition,
! [X0] :
( sQ166_spl
<=> necessarily(X0) = not(possibly(not(X0))) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f950,plain,
( sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f326,f944,f947]) ).
fof(f951,definition,
( sQ167_spl
<=> op_strict_implies ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f953,plain,
( sQ167_spl
| ~ op_strict_implies ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,definition,
! [X0,X1] :
( sQ168_spl
<=> strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f957,plain,
( sQ168_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f328,f951,f954]) ).
fof(f958,definition,
( sQ169_spl
<=> op_strict_equiv ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f960,plain,
( sQ169_spl
| ~ op_strict_equiv ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,definition,
! [X0,X1] :
( sQ170_spl
<=> strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0)) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f964,plain,
( sQ170_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f330,f958,f961]) ).
fof(f965,plain,
( sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f939,f331]) ).
fof(f966,plain,
sQ163_spl,
inference(contradiction_clause,[status(thm)],[f965]) ).
fof(f967,plain,
( sQ162_spl
| ~ sQ161_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f935,f930]) ).
fof(f968,plain,
( sQ159_spl
| ~ sQ158_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f924,f919]) ).
fof(f969,plain,
( sQ156_spl
| ~ sQ155_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f913,f908]) ).
fof(f970,plain,
( sQ153_spl
| ~ sQ152_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f902,f897]) ).
fof(f971,plain,
( sQ150_spl
| ~ sQ149_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f891,f886]) ).
fof(f972,plain,
( sQ147_spl
| ~ sQ146_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f880,f875]) ).
fof(f973,plain,
( sQ144_spl
| ~ sQ143_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f869,f864]) ).
fof(f974,plain,
( sQ141_spl
| ~ sQ140_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f858,f853]) ).
fof(f975,plain,
( sQ138_spl
| ~ sQ137_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f847,f842]) ).
fof(f976,plain,
( sQ135_spl
| ~ sQ134_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f836,f831]) ).
fof(f977,plain,
( sQ132_spl
| ~ sQ131_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f825,f820]) ).
fof(f978,plain,
( sQ129_spl
| ~ sQ128_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f814,f809]) ).
fof(f979,plain,
( sQ126_spl
| ~ sQ125_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f803,f798]) ).
fof(f980,plain,
( sQ123_spl
| ~ sQ122_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f792,f787]) ).
fof(f981,plain,
( sQ120_spl
| ~ sQ119_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f781,f776]) ).
fof(f982,plain,
( sQ117_spl
| ~ sQ116_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f770,f765]) ).
fof(f983,plain,
( sQ114_spl
| ~ sQ113_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f759,f754]) ).
fof(f984,plain,
( sQ111_spl
| ~ sQ110_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f748,f743]) ).
fof(f985,plain,
( sQ108_spl
| ~ sQ107_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f737,f732]) ).
fof(f986,plain,
( sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f655,f204]) ).
fof(f987,plain,
sQ86_spl,
inference(contradiction_clause,[status(thm)],[f986]) ).
fof(f988,plain,
( sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f641,f203]) ).
fof(f989,plain,
sQ82_spl,
inference(contradiction_clause,[status(thm)],[f988]) ).
fof(f990,plain,
( sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f627,f202]) ).
fof(f991,plain,
sQ78_spl,
inference(contradiction_clause,[status(thm)],[f990]) ).
fof(f992,plain,
( sQ77_spl
| ~ sQ76_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f623,f618]) ).
fof(f993,plain,
( sQ74_spl
| ~ sQ73_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f612,f607]) ).
fof(f994,plain,
( sQ71_spl
| ~ sQ70_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f601,f596]) ).
fof(f995,plain,
( sQ68_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f590,f462]) ).
fof(f996,plain,
( sQ68_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f995]) ).
fof(f997,plain,
( sQ66_spl
| ~ sQ65_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f582,f577]) ).
fof(f998,plain,
( sQ63_spl
| ~ sQ62_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f571,f566]) ).
fof(f999,plain,
( sQ60_spl
| ~ sQ59_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f560,f555]) ).
fof(f1000,plain,
( sQ57_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f549,f407]) ).
fof(f1001,plain,
( sQ57_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1000]) ).
fof(f1002,plain,
( sQ55_spl
| ~ sQ54_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f541,f536]) ).
fof(f1003,plain,
( sQ52_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f418]) ).
fof(f1004,plain,
( sQ52_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1003]) ).
fof(f1005,plain,
( sQ50_spl
| ~ sQ49_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f522,f517]) ).
fof(f1006,plain,
( sQ47_spl
| ~ sQ46_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f511,f506]) ).
fof(f1007,plain,
( sQ44_spl
| ~ sQ43_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f500,f495]) ).
fof(f1008,plain,
( sQ41_spl
| ~ sQ40_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f489,f484]) ).
fof(f1009,plain,
( sQ38_spl
| ~ sQ37_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f478,f473]) ).
fof(f1010,plain,
( sQ32_spl
| ~ sQ31_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f456,f451]) ).
fof(f1011,plain,
( sQ29_spl
| ~ sQ28_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f445,f440]) ).
fof(f1012,plain,
( sQ26_spl
| ~ sQ25_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f434,f429]) ).
fof(f1013,plain,
( sQ17_spl
| ~ sQ16_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f401,f396]) ).
fof(f1014,plain,
( sQ14_spl
| ~ sQ13_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f390,f385]) ).
fof(f1015,plain,
( sQ11_spl
| ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f379,f374]) ).
fof(f1016,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f338,f205]) ).
fof(f1017,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f1016]) ).
fof(f1018,plain,
( sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f662,f332]) ).
fof(f1019,plain,
sQ88_spl,
inference(contradiction_clause,[status(thm)],[f1018]) ).
fof(f1020,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f357,f219]) ).
fof(f1021,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f1020]) ).
fof(f1022,plain,
( sQ162_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f967]) ).
fof(f1023,plain,
( sQ159_spl
| ~ sQ158_spl ),
inference(contradiction_clause,[status(thm)],[f968]) ).
fof(f1024,plain,
( sQ156_spl
| ~ sQ155_spl ),
inference(contradiction_clause,[status(thm)],[f969]) ).
fof(f1025,plain,
( sQ153_spl
| ~ sQ152_spl ),
inference(contradiction_clause,[status(thm)],[f970]) ).
fof(f1026,plain,
( sQ150_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f971]) ).
fof(f1027,plain,
( sQ147_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f972]) ).
fof(f1028,plain,
( sQ144_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f973]) ).
fof(f1029,plain,
( sQ141_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f974]) ).
fof(f1030,plain,
( sQ138_spl
| ~ sQ137_spl ),
inference(contradiction_clause,[status(thm)],[f975]) ).
fof(f1031,plain,
( sQ135_spl
| ~ sQ134_spl ),
inference(contradiction_clause,[status(thm)],[f976]) ).
fof(f1032,plain,
( sQ132_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f977]) ).
fof(f1033,plain,
( sQ129_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f1034,plain,
( sQ126_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f979]) ).
fof(f1035,plain,
( sQ123_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f980]) ).
fof(f1036,plain,
( sQ120_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f981]) ).
fof(f1037,plain,
( sQ117_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f982]) ).
fof(f1038,plain,
( sQ114_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f983]) ).
fof(f1039,plain,
( sQ111_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f1040,plain,
( sQ108_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f985]) ).
fof(f1041,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),not(and(X2,X0))))) ),
inference(backward_demodulation,[status(thm)],[f1045,f536]) ).
fof(f1042,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(X0,not(X1)),implies(X1,X0))) ),
inference(backward_demodulation,[status(thm)],[f1045,f374]) ).
fof(f1043,plain,
! [X0,X1] :
( ~ sQ59_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,or(X0,X1))) ),
inference(backward_demodulation,[status(thm)],[f1045,f555]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(X0,X0),X0)) ),
inference(backward_demodulation,[status(thm)],[f1045,f566]) ).
fof(f1045,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| or(X0,X1) = implies(not(X0),X1) ),
inference(forward_demodulation,[status(thm)],[f643,f629]) ).
fof(f1046,plain,
( sQ77_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f992]) ).
fof(f1047,plain,
( sQ74_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f993]) ).
fof(f1048,plain,
( sQ71_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f1049,plain,
( sQ66_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f997]) ).
fof(f1050,plain,
( sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f998]) ).
fof(f1051,plain,
( sQ60_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f999]) ).
fof(f1052,plain,
( sQ35_spl
| ~ sQ34_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f467,f462]) ).
fof(f1053,plain,
( sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1002]) ).
fof(f1054,plain,
( sQ20_spl
| ~ sQ19_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f412,f407]) ).
fof(f1055,plain,
( sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1005]) ).
fof(f1056,plain,
( sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1006]) ).
fof(f1057,plain,
( sQ44_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1007]) ).
fof(f1058,plain,
( sQ41_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1008]) ).
fof(f1059,plain,
( sQ38_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1009]) ).
fof(f1060,plain,
( sQ32_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1010]) ).
fof(f1061,plain,
( sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1011]) ).
fof(f1062,plain,
( sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1012]) ).
fof(f1063,plain,
( sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1013]) ).
fof(f1064,plain,
( sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1014]) ).
fof(f1065,plain,
( sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1015]) ).
fof(f1066,plain,
( sQ23_spl
| ~ sQ22_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f423,f418]) ).
fof(f1067,plain,
( sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f774,f335]) ).
fof(f1068,plain,
sQ118_spl,
inference(contradiction_clause,[status(thm)],[f1067]) ).
fof(f1069,plain,
( sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f741,f334]) ).
fof(f1070,plain,
sQ109_spl,
inference(contradiction_clause,[status(thm)],[f1069]) ).
fof(f1071,plain,
( sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f730,f333]) ).
fof(f1072,plain,
sQ106_spl,
inference(contradiction_clause,[status(thm)],[f1071]) ).
fof(f1073,plain,
( sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ is_a_theorem(implies(or(sK43_skl,sK43_skl),sK43_skl)) ),
inference(forward_demodulation,[status(thm)],[f1045,f571]) ).
fof(f1074,plain,
( sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ is_a_theorem(implies(sK41_skl,or(sK41_skl,sK42_skl))) ),
inference(forward_demodulation,[status(thm)],[f1045,f560]) ).
fof(f1075,plain,
( sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1052]) ).
fof(f1076,plain,
( sQ55_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ is_a_theorem(implies(implies(sK35_skl,sK36_skl),or(and(sK36_skl,sK37_skl),not(and(sK37_skl,sK35_skl))))) ),
inference(forward_demodulation,[status(thm)],[f1045,f541]) ).
fof(f1077,plain,
( sQ20_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1054]) ).
fof(f1078,plain,
( sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f504,f218]) ).
fof(f1079,plain,
sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1078]) ).
fof(f1080,plain,
( sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f217]) ).
fof(f1081,plain,
sQ42_spl,
inference(contradiction_clause,[status(thm)],[f1080]) ).
fof(f1082,plain,
( sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f216]) ).
fof(f1083,plain,
sQ39_spl,
inference(contradiction_clause,[status(thm)],[f1082]) ).
fof(f1084,plain,
( sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f471,f215]) ).
fof(f1085,plain,
sQ36_spl,
inference(contradiction_clause,[status(thm)],[f1084]) ).
fof(f1086,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f449,f213]) ).
fof(f1087,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1086]) ).
fof(f1088,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f438,f212]) ).
fof(f1089,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f1088]) ).
fof(f1090,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f427,f211]) ).
fof(f1091,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f1090]) ).
fof(f1092,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f394,f208]) ).
fof(f1093,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f1092]) ).
fof(f1094,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f383,f207]) ).
fof(f1095,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1094]) ).
fof(f1096,plain,
( sQ11_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ is_a_theorem(implies(or(sK5_skl,not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
inference(forward_demodulation,[status(thm)],[f1045,f379]) ).
fof(f1097,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f372,f206]) ).
fof(f1098,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f1097]) ).
fof(f1099,plain,
( sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1066]) ).
fof(f1100,plain,
( sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f460,f214]) ).
fof(f1101,plain,
sQ33_spl,
inference(contradiction_clause,[status(thm)],[f1100]) ).
fof(f1102,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f405,f209]) ).
fof(f1103,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f1102]) ).
fof(f1104,plain,
( sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1074,f451]) ).
fof(f1105,plain,
( ~ sQ11_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(sK5_skl,not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
inference(forward_demodulation,[status(thm)],[f1045,f378]) ).
fof(f1106,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f416,f210]) ).
fof(f1107,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f1106]) ).
fof(f1108,plain,
( sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1104]) ).
fof(f1109,plain,
( ~ sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(sK41_skl,or(sK41_skl,sK42_skl))) ),
inference(forward_demodulation,[status(thm)],[f1045,f559]) ).
fof(f1110,plain,
! [X0] :
( ~ sQ164_spl
| possibly(necessarily(not(X0))) = not(necessarily(possibly(X0))) ),
inference(paramodulation,[status(thm)],[f941,f941]) ).
fof(f1111,plain,
( ~ sQ95_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(strict_implies(sK57_skl,sK56_skl))) ),
inference(resolution,[status(thm)],[f664,f687]) ).
fof(f1112,plain,
( ~ sQ94_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(sK57_skl)) ),
inference(resolution,[status(thm)],[f664,f683]) ).
fof(f1113,plain,
( ~ sQ100_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(sK59_skl)) ),
inference(resolution,[status(thm)],[f664,f706]) ).
fof(f1114,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(sK58_skl)) ),
inference(resolution,[status(thm)],[f664,f702]) ).
fof(f1115,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f664,f721]) ).
fof(f1116,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| is_a_theorem(necessarily(necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1112,f664]) ).
fof(f1117,plain,
( ~ sQ89_spl
| ~ sQ100_spl
| is_a_theorem(necessarily(necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1113,f664]) ).
fof(f1118,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1114,f664]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(implies(necessarily(X0),X0))) ),
inference(resolution,[status(thm)],[f743,f664]) ).
fof(f1120,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1116,f664]) ).
fof(f1121,plain,
( ~ sQ89_spl
| ~ sQ100_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1117,f664]) ).
fof(f1122,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1118,f664]) ).
fof(f1123,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| implies(X0,and(X1,not(X2))) = not(and(X0,implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f643,f643]) ).
fof(f1124,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| implies(X0,necessarily(not(X1))) = not(and(X0,possibly(X1))) ),
inference(paramodulation,[status(thm)],[f941,f643]) ).
fof(f1125,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| possibly(and(X0,not(X1))) = not(necessarily(implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f643,f941]) ).
fof(f1126,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(X0,or(X0,X1)))) ),
inference(resolution,[status(thm)],[f451,f664]) ).
fof(f1127,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(and(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f429,f664]) ).
fof(f1128,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f657,f429]) ).
fof(f1129,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f385,f664]) ).
fof(f1130,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,or(X1,X0)))) ),
inference(resolution,[status(thm)],[f462,f664]) ).
fof(f1131,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(and(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f418,f664]) ).
fof(f1132,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f657,f418]) ).
fof(f1133,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,not(X1)),X2) = implies(implies(X0,X1),X2) ),
inference(paramodulation,[status(thm)],[f643,f1045]) ).
fof(f1134,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| or(necessarily(not(X0)),X1) = implies(possibly(X0),X1) ),
inference(paramodulation,[status(thm)],[f941,f1045]) ).
fof(f1135,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1045,f385]) ).
fof(f1136,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1045,f462]) ).
fof(f1137,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f1045,f451]) ).
fof(f1138,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1045,f385]) ).
fof(f1139,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(X0,not(X1)) = and(implies(X0,not(X1)),or(X1,X0)) ),
inference(paramodulation,[status(thm)],[f1045,f657]) ).
fof(f1140,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(not(X0),X1) = and(or(X0,X1),implies(X1,not(X0))) ),
inference(paramodulation,[status(thm)],[f1045,f657]) ).
fof(f1141,plain,
( ~ sQ89_spl
| ~ sQ95_spl
| is_a_theorem(necessarily(necessarily(strict_implies(sK57_skl,sK56_skl)))) ),
inference(resolution,[status(thm)],[f1111,f664]) ).
fof(f1142,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1115,f664]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(necessarily(implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f1119,f664]) ).
fof(f1144,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| is_a_theorem(necessarily(necessarily(necessarily(necessarily(sK57_skl))))) ),
inference(resolution,[status(thm)],[f1120,f664]) ).
fof(f1145,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ1_spl
| is_a_theorem(X0)
| ~ is_a_theorem(and(X0,X1)) ),
inference(resolution,[status(thm)],[f340,f418]) ).
fof(f1146,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ1_spl
| is_a_theorem(X1)
| ~ is_a_theorem(and(X0,X1)) ),
inference(resolution,[status(thm)],[f340,f429]) ).
fof(f1147,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(X0)
| ~ is_a_theorem(necessarily(X0)) ),
inference(resolution,[status(thm)],[f340,f743]) ).
fof(f1148,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f340,f385]) ).
fof(f1149,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f340,f462]) ).
fof(f1150,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f340,f451]) ).
fof(f1151,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(X1)
| ~ is_a_theorem(or(X0,X1))
| ~ is_a_theorem(not(X0)) ),
inference(paramodulation,[status(thm)],[f1045,f340]) ).
fof(f1162,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f657,f1145]) ).
fof(f1163,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f657,f1146]) ).
fof(f1164,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f1148,f418]) ).
fof(f1165,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f1148,f429]) ).
fof(f1166,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f1148,f743]) ).
fof(f1167,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1148,f385]) ).
fof(f1168,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1148,f462]) ).
fof(f1169,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1148,f451]) ).
fof(f1170,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1148,f1119]) ).
fof(f1171,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1148,f1115]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(strict_implies(sK57_skl,sK56_skl)))) ),
inference(resolution,[status(thm)],[f1148,f1111]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(necessarily(necessarily(sK57_skl))))) ),
inference(resolution,[status(thm)],[f1148,f1120]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1148,f1118]) ).
fof(f1175,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1148,f1117]) ).
fof(f1176,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1148,f1116]) ).
fof(f1177,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1148,f1114]) ).
fof(f1178,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1148,f1113]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1148,f1112]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,strict_implies(sK57_skl,sK56_skl))) ),
inference(resolution,[status(thm)],[f1148,f687]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,sK57_skl)) ),
inference(resolution,[status(thm)],[f1148,f683]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,sK59_skl)) ),
inference(resolution,[status(thm)],[f1148,f706]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f1148,f702]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1148,f721]) ).
fof(f1186,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| is_a_theorem(implies(X0,implies(X1,sK57_skl))) ),
inference(resolution,[status(thm)],[f1181,f1148]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,sK57_skl))) ),
inference(resolution,[status(thm)],[f1181,f664]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,sK57_skl)) ),
inference(paramodulation,[status(thm)],[f1045,f1181]) ).
fof(f1189,definition,
! [X0] :
( sQ171_spl
<=> ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ171_spl
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f1189]) ).
fof(f1194,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| is_a_theorem(implies(X0,implies(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f1182,f1148]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,sK59_skl))) ),
inference(resolution,[status(thm)],[f1182,f664]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,sK59_skl)) ),
inference(paramodulation,[status(thm)],[f1045,f1182]) ).
fof(f1199,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1183,f1148]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f1183,f664]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(paramodulation,[status(thm)],[f1045,f1183]) ).
fof(f1203,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| is_a_theorem(implies(X0,or(X1,sK57_skl))) ),
inference(resolution,[status(thm)],[f1188,f1148]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,sK57_skl))) ),
inference(resolution,[status(thm)],[f1188,f664]) ).
fof(f1205,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| is_a_theorem(implies(X0,or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f1196,f1148]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,sK59_skl))) ),
inference(resolution,[status(thm)],[f1196,f664]) ).
fof(f1207,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1201,f1148]) ).
fof(f1208,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f1201,f664]) ).
fof(f1209,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1149,f1201]) ).
fof(f1210,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f1149,f1196]) ).
fof(f1211,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(X1,sK57_skl))) ),
inference(resolution,[status(thm)],[f1149,f1188]) ).
fof(f1212,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f1149,f418]) ).
fof(f1213,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f1149,f429]) ).
fof(f1214,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f1149,f743]) ).
fof(f1215,plain,
! [X0,X1] :
( ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1149,f1183]) ).
fof(f1216,plain,
! [X0,X1] :
( ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f1149,f1182]) ).
fof(f1217,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,sK57_skl))) ),
inference(resolution,[status(thm)],[f1149,f1181]) ).
fof(f1218,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1149,f385]) ).
fof(f1219,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1149,f462]) ).
fof(f1220,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1149,f451]) ).
fof(f1221,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1149,f1119]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1149,f1115]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(strict_implies(sK57_skl,sK56_skl)))) ),
inference(resolution,[status(thm)],[f1149,f1111]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(necessarily(necessarily(sK57_skl))))) ),
inference(resolution,[status(thm)],[f1149,f1120]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1149,f1118]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1149,f1117]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1149,f1116]) ).
fof(f1228,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1149,f1114]) ).
fof(f1229,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1149,f1113]) ).
fof(f1230,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1149,f1112]) ).
fof(f1231,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,strict_implies(sK57_skl,sK56_skl))) ),
inference(resolution,[status(thm)],[f1149,f687]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,sK57_skl)) ),
inference(resolution,[status(thm)],[f1149,f683]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,sK59_skl)) ),
inference(resolution,[status(thm)],[f1149,f706]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f1149,f702]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1149,f721]) ).
fof(f1236,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,sK58_skl),X1)) ),
inference(resolution,[status(thm)],[f1150,f1201]) ).
fof(f1237,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,sK59_skl),X1)) ),
inference(resolution,[status(thm)],[f1150,f1196]) ).
fof(f1238,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,sK57_skl),X1)) ),
inference(resolution,[status(thm)],[f1150,f1188]) ).
fof(f1239,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(and(X0,X1),X0),X2)) ),
inference(resolution,[status(thm)],[f1150,f418]) ).
fof(f1240,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(and(X0,X1),X1),X2)) ),
inference(resolution,[status(thm)],[f1150,f429]) ).
fof(f1241,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(necessarily(X0),X0),X1)) ),
inference(resolution,[status(thm)],[f1150,f743]) ).
fof(f1242,plain,
! [X0,X1] :
( ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,sK58_skl),X1)) ),
inference(resolution,[status(thm)],[f1150,f1183]) ).
fof(f1243,plain,
! [X0,X1] :
( ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,sK59_skl),X1)) ),
inference(resolution,[status(thm)],[f1150,f1182]) ).
fof(f1244,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,sK57_skl),X1)) ),
inference(resolution,[status(thm)],[f1150,f1181]) ).
fof(f1245,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(X0,implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f1150,f385]) ).
fof(f1246,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(X0,or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f1150,f462]) ).
fof(f1247,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(X0,or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f1150,f451]) ).
fof(f1248,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(implies(necessarily(X0),X0)),X1)) ),
inference(resolution,[status(thm)],[f1150,f1119]) ).
fof(f1249,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(strict_equiv(sK60_skl,sK61_skl)),X0)) ),
inference(resolution,[status(thm)],[f1150,f1115]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(strict_implies(sK57_skl,sK56_skl)),X0)) ),
inference(resolution,[status(thm)],[f1150,f1111]) ).
fof(f1251,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(necessarily(necessarily(sK57_skl))),X0)) ),
inference(resolution,[status(thm)],[f1150,f1120]) ).
fof(f1252,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(necessarily(sK58_skl)),X0)) ),
inference(resolution,[status(thm)],[f1150,f1118]) ).
fof(f1253,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(necessarily(sK59_skl)),X0)) ),
inference(resolution,[status(thm)],[f1150,f1117]) ).
fof(f1254,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(necessarily(sK57_skl)),X0)) ),
inference(resolution,[status(thm)],[f1150,f1116]) ).
fof(f1255,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(sK58_skl),X0)) ),
inference(resolution,[status(thm)],[f1150,f1114]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(sK59_skl),X0)) ),
inference(resolution,[status(thm)],[f1150,f1113]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(sK57_skl),X0)) ),
inference(resolution,[status(thm)],[f1150,f1112]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(strict_implies(sK57_skl,sK56_skl),X0)) ),
inference(resolution,[status(thm)],[f1150,f687]) ).
fof(f1259,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(sK57_skl,X0)) ),
inference(resolution,[status(thm)],[f1150,f683]) ).
fof(f1260,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(sK59_skl,X0)) ),
inference(resolution,[status(thm)],[f1150,f706]) ).
fof(f1261,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(sK58_skl,X0)) ),
inference(resolution,[status(thm)],[f1150,f702]) ).
fof(f1262,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(strict_equiv(sK60_skl,sK61_skl),X0)) ),
inference(resolution,[status(thm)],[f1150,f721]) ).
fof(f1263,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ94_spl
| is_a_theorem(or(or(sK57_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f1259,f1150]) ).
fof(f1264,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(sK57_skl,X1))) ),
inference(resolution,[status(thm)],[f1259,f1149]) ).
fof(f1265,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(sK57_skl,X1))) ),
inference(resolution,[status(thm)],[f1259,f1148]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(sK57_skl,X0))) ),
inference(resolution,[status(thm)],[f1259,f664]) ).
fof(f1267,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ100_spl
| is_a_theorem(or(or(sK59_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f1260,f1150]) ).
fof(f1268,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f1260,f1149]) ).
fof(f1269,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f1260,f1148]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(sK59_skl,X0))) ),
inference(resolution,[status(thm)],[f1260,f664]) ).
fof(f1271,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(or(or(sK58_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f1261,f1150]) ).
fof(f1272,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f1261,f1149]) ).
fof(f1273,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f1261,f1148]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(sK58_skl,X0))) ),
inference(resolution,[status(thm)],[f1261,f664]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(sK58_skl))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1177,f340]) ).
fof(f1276,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,necessarily(sK58_skl)),X1)) ),
inference(resolution,[status(thm)],[f1177,f1150]) ).
fof(f1277,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1177,f1149]) ).
fof(f1278,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ89_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1177,f1148]) ).
fof(f1279,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1177,f664]) ).
fof(f1280,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1177]) ).
fof(f1281,definition,
( sQ172_spl
<=> is_a_theorem(necessarily(sK58_skl)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1282,plain,
( ~ sQ172_spl
| is_a_theorem(necessarily(sK58_skl)) ),
inference(component_clause,[status(thm)],[f1281]) ).
fof(f1283,plain,
( sQ172_spl
| ~ is_a_theorem(necessarily(sK58_skl)) ),
inference(component_clause,[status(thm)],[f1281]) ).
fof(f1284,plain,
( ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ13_spl
| sQ172_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1275,f1189,f1281,f384,f663,f701,f339]) ).
fof(f1285,plain,
( ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1261,f1190]) ).
fof(f1286,plain,
( ~ sQ100_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1260,f1190]) ).
fof(f1287,plain,
( ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1259,f1190]) ).
fof(f1288,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1201,f1190]) ).
fof(f1289,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1196,f1190]) ).
fof(f1290,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1188,f1190]) ).
fof(f1291,plain,
( ~ sQ22_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f418,f1190]) ).
fof(f1292,plain,
( ~ sQ25_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f429,f1190]) ).
fof(f1293,plain,
( ~ sQ110_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f743,f1190]) ).
fof(f1294,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1177,f1190]) ).
fof(f1295,plain,
( ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1183,f1190]) ).
fof(f1296,plain,
( ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1182,f1190]) ).
fof(f1297,plain,
( ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1181,f1190]) ).
fof(f1298,plain,
( ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f385,f1190]) ).
fof(f1299,plain,
( ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f462,f1190]) ).
fof(f1300,plain,
( ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f451,f1190]) ).
fof(f1301,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1119,f1190]) ).
fof(f1302,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1115,f1190]) ).
fof(f1303,plain,
( ~ sQ95_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1111,f1190]) ).
fof(f1304,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1120,f1190]) ).
fof(f1305,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1118,f1190]) ).
fof(f1306,plain,
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1117,f1190]) ).
fof(f1307,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1116,f1190]) ).
fof(f1308,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1114,f1190]) ).
fof(f1309,plain,
( ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1113,f1190]) ).
fof(f1310,plain,
( ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1112,f1190]) ).
fof(f1311,plain,
( ~ sQ95_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f687,f1190]) ).
fof(f1312,plain,
( ~ sQ94_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f683,f1190]) ).
fof(f1313,plain,
( ~ sQ100_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f706,f1190]) ).
fof(f1314,plain,
( ~ sQ99_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f702,f1190]) ).
fof(f1315,plain,
( ~ sQ104_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f721,f1190]) ).
fof(f1316,plain,
( ~ sQ104_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1262,f1190]) ).
fof(f1317,plain,
( ~ sQ95_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1258,f1190]) ).
fof(f1318,plain,
( ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1257,f1190]) ).
fof(f1319,plain,
( ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1256,f1190]) ).
fof(f1320,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1255,f1190]) ).
fof(f1321,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1254,f1190]) ).
fof(f1322,plain,
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1253,f1190]) ).
fof(f1323,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1252,f1190]) ).
fof(f1324,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1251,f1190]) ).
fof(f1325,plain,
( ~ sQ95_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1250,f1190]) ).
fof(f1326,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1249,f1190]) ).
fof(f1327,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1248,f1190]) ).
fof(f1328,plain,
( ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1241,f1190]) ).
fof(f1329,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1240,f1190]) ).
fof(f1330,plain,
( ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1239,f1190]) ).
fof(f1331,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1276,f1190]) ).
fof(f1332,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1247,f1190]) ).
fof(f1333,plain,
( ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1246,f1190]) ).
fof(f1334,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1245,f1190]) ).
fof(f1335,plain,
( ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1244,f1190]) ).
fof(f1336,plain,
( ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1243,f1190]) ).
fof(f1337,plain,
( ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1242,f1190]) ).
fof(f1338,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1271,f1190]) ).
fof(f1339,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1267,f1190]) ).
fof(f1340,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1263,f1190]) ).
fof(f1341,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1238,f1190]) ).
fof(f1342,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1237,f1190]) ).
fof(f1343,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1236,f1190]) ).
fof(f1344,plain,
( ~ sQ104_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1235,f1190]) ).
fof(f1345,plain,
( ~ sQ95_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1231,f1190]) ).
fof(f1346,plain,
( ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1230,f1190]) ).
fof(f1347,plain,
( ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1229,f1190]) ).
fof(f1348,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1228,f1190]) ).
fof(f1349,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1227,f1190]) ).
fof(f1350,plain,
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1226,f1190]) ).
fof(f1351,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1225,f1190]) ).
fof(f1352,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1224,f1190]) ).
fof(f1353,plain,
( ~ sQ95_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1223,f1190]) ).
fof(f1354,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1222,f1190]) ).
fof(f1355,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1221,f1190]) ).
fof(f1356,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1272,f1190]) ).
fof(f1357,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1268,f1190]) ).
fof(f1358,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1264,f1190]) ).
fof(f1359,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1137,f1190]) ).
fof(f1360,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1211,f1190]) ).
fof(f1361,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1210,f1190]) ).
fof(f1362,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1209,f1190]) ).
fof(f1363,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1136,f1190]) ).
fof(f1364,plain,
( ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1214,f1190]) ).
fof(f1365,plain,
( ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1213,f1190]) ).
fof(f1366,plain,
( ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1212,f1190]) ).
fof(f1367,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1277,f1190]) ).
fof(f1368,plain,
( ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1220,f1190]) ).
fof(f1369,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1219,f1190]) ).
fof(f1370,plain,
( ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1218,f1190]) ).
fof(f1371,plain,
( ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1217,f1190]) ).
fof(f1372,plain,
( ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1216,f1190]) ).
fof(f1373,plain,
( ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1215,f1190]) ).
fof(f1374,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1135,f1190]) ).
fof(f1375,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1274,f1190]) ).
fof(f1376,plain,
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1270,f1190]) ).
fof(f1377,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1266,f1190]) ).
fof(f1378,plain,
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1208,f1190]) ).
fof(f1379,plain,
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1206,f1190]) ).
fof(f1380,plain,
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1204,f1190]) ).
fof(f1381,plain,
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1131,f1190]) ).
fof(f1382,plain,
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1127,f1190]) ).
fof(f1383,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1279,f1190]) ).
fof(f1384,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1200,f1190]) ).
fof(f1385,plain,
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1195,f1190]) ).
fof(f1386,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1187,f1190]) ).
fof(f1387,plain,
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1129,f1190]) ).
fof(f1388,plain,
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1130,f1190]) ).
fof(f1389,plain,
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1126,f1190]) ).
fof(f1390,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1143,f1190]) ).
fof(f1391,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1142,f1190]) ).
fof(f1392,plain,
( ~ sQ89_spl
| ~ sQ95_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1141,f1190]) ).
fof(f1393,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1144,f1190]) ).
fof(f1394,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1122,f1190]) ).
fof(f1395,plain,
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1121,f1190]) ).
fof(f1396,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1042,f1190]) ).
fof(f1397,plain,
( ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f484,f1190]) ).
fof(f1398,plain,
( ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f495,f1190]) ).
fof(f1399,plain,
( ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f396,f1190]) ).
fof(f1400,plain,
( ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f473,f1190]) ).
fof(f1401,plain,
( ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f407,f1190]) ).
fof(f1402,plain,
( ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f506,f1190]) ).
fof(f1403,plain,
( ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f732,f1190]) ).
fof(f1404,plain,
( ~ sQ119_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f776,f1190]) ).
fof(f1405,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1273,f1190]) ).
fof(f1406,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1269,f1190]) ).
fof(f1407,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1265,f1190]) ).
fof(f1408,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1207,f1190]) ).
fof(f1409,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1205,f1190]) ).
fof(f1410,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1203,f1190]) ).
fof(f1411,plain,
( ~ sQ104_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1184,f1190]) ).
fof(f1412,plain,
( ~ sQ95_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1180,f1190]) ).
fof(f1413,plain,
( ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1179,f1190]) ).
fof(f1414,plain,
( ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1178,f1190]) ).
fof(f1415,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1176,f1190]) ).
fof(f1416,plain,
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1175,f1190]) ).
fof(f1417,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1174,f1190]) ).
fof(f1418,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1173,f1190]) ).
fof(f1419,plain,
( ~ sQ95_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1172,f1190]) ).
fof(f1420,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1171,f1190]) ).
fof(f1421,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1170,f1190]) ).
fof(f1422,plain,
( ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1166,f1190]) ).
fof(f1423,plain,
( ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1165,f1190]) ).
fof(f1424,plain,
( ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1164,f1190]) ).
fof(f1425,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1278,f1190]) ).
fof(f1426,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1199,f1190]) ).
fof(f1427,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1194,f1190]) ).
fof(f1428,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1186,f1190]) ).
fof(f1429,plain,
( ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1169,f1190]) ).
fof(f1430,plain,
( ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1168,f1190]) ).
fof(f1431,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1167,f1190]) ).
fof(f1432,plain,
( ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f440,f1190]) ).
fof(f1433,plain,
( ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f1285]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ98_spl
| is_a_theorem(and(sK57_skl,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f683]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ94_spl
| ~ sQ89_spl
| is_a_theorem(and(necessarily(sK57_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1112,f698]) ).
fof(f1436,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(or(sK57_skl,X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1259,f698]) ).
fof(f1437,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(or(X1,sK57_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1188,f698]) ).
fof(f1438,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X1,sK57_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1181,f698]) ).
fof(f1451,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(and(implies(necessarily(X1),X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f743,f698]) ).
fof(f1454,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ94_spl
| is_a_theorem(and(necessarily(necessarily(sK57_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1116,f698]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ95_spl
| is_a_theorem(and(strict_implies(sK57_skl,sK56_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f687,f698]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ104_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f721,f698]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,sK57_skl)) ),
inference(resolution,[status(thm)],[f1149,f683]) ).
fof(f1493,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(and(X1,X2),X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f418,f698]) ).
fof(f1494,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f657,f418]) ).
fof(f1500,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ25_spl
| is_a_theorem(and(implies(and(X1,X2),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f429,f698]) ).
fof(f1501,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f657,f429]) ).
fof(f1507,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X1,implies(X2,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f385,f698]) ).
fof(f1509,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1045,f385]) ).
fof(f1515,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X1,or(X2,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f462,f698]) ).
fof(f1522,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X1,or(X1,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f451,f698]) ).
fof(f1524,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(necessarily(sK57_skl),X1))) ),
inference(resolution,[status(thm)],[f1257,f1148]) ).
fof(f1525,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(necessarily(sK57_skl),X1))) ),
inference(resolution,[status(thm)],[f1257,f1149]) ).
fof(f1526,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ89_spl
| is_a_theorem(or(or(necessarily(sK57_skl),X0),X1)) ),
inference(resolution,[status(thm)],[f1257,f1150]) ).
fof(f1527,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(necessarily(sK57_skl),X0))) ),
inference(resolution,[status(thm)],[f1257,f664]) ).
fof(f1528,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(or(necessarily(sK57_skl),X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1257,f698]) ).
fof(f1529,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1230,f1148]) ).
fof(f1530,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ89_spl
| is_a_theorem(or(X0,or(X1,necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1230,f1149]) ).
fof(f1531,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,necessarily(sK57_skl)),X1)) ),
inference(resolution,[status(thm)],[f1230,f1150]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1230,f664]) ).
fof(f1533,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(and(or(X1,necessarily(sK57_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1230,f698]) ).
fof(f1535,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(or(sK57_skl,X1)))) ),
inference(resolution,[status(thm)],[f1266,f1148]) ).
fof(f1536,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(or(sK57_skl,X1)))) ),
inference(resolution,[status(thm)],[f1266,f1149]) ).
fof(f1537,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ94_spl
| is_a_theorem(or(necessarily(or(sK57_skl,X0)),X1)) ),
inference(resolution,[status(thm)],[f1266,f1150]) ).
fof(f1538,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(or(sK57_skl,X0)))) ),
inference(resolution,[status(thm)],[f1266,f664]) ).
fof(f1539,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(or(sK57_skl,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1266,f698]) ).
fof(f1541,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| is_a_theorem(implies(X0,necessarily(or(X1,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1204,f1148]) ).
fof(f1542,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(or(X1,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1204,f1149]) ).
fof(f1543,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(or(X0,sK57_skl)),X1)) ),
inference(resolution,[status(thm)],[f1204,f1150]) ).
fof(f1544,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(or(X0,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1204,f664]) ).
fof(f1545,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(or(X1,sK57_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1204,f698]) ).
fof(f1547,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ94_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1187,f1148]) ).
fof(f1548,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(implies(X1,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1187,f1149]) ).
fof(f1549,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,sK57_skl)),X1)) ),
inference(resolution,[status(thm)],[f1187,f1150]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(implies(X0,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1187,f664]) ).
fof(f1551,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(implies(X1,sK57_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1187,f698]) ).
fof(f1553,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(sK57_skl))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1179,f340]) ).
fof(f1554,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ89_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1179,f1148]) ).
fof(f1555,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1179,f1149]) ).
fof(f1556,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,necessarily(sK57_skl)),X1)) ),
inference(resolution,[status(thm)],[f1179,f1150]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1179,f664]) ).
fof(f1558,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X1,necessarily(sK57_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1179,f698]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(sK57_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1179]) ).
fof(f1560,definition,
( sQ173_spl
<=> is_a_theorem(necessarily(sK57_skl)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1561,plain,
( ~ sQ173_spl
| is_a_theorem(necessarily(sK57_skl)) ),
inference(component_clause,[status(thm)],[f1560]) ).
fof(f1563,plain,
( ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ13_spl
| sQ173_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1553,f1189,f1560,f384,f663,f682,f339]) ).
fof(f1564,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(sK58_skl) ),
inference(resolution,[status(thm)],[f1282,f1147]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1282,f1148]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1282,f1149]) ).
fof(f1567,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(or(necessarily(sK58_skl),X0)) ),
inference(resolution,[status(thm)],[f1282,f1150]) ).
fof(f1568,plain,
( ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1282,f664]) ).
fof(f1569,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1282,f698]) ).
fof(f1570,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f1564,f1148]) ).
fof(f1571,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f1564,f1149]) ).
fof(f1572,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(sK58_skl,X0)) ),
inference(resolution,[status(thm)],[f1564,f1150]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1564,f698]) ).
fof(f1575,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(sK58_skl)
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1570,f340]) ).
fof(f1576,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1570,f1148]) ).
fof(f1577,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1570,f1149]) ).
fof(f1578,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X0,sK58_skl),X1)) ),
inference(resolution,[status(thm)],[f1570,f1150]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f1570,f664]) ).
fof(f1580,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(and(implies(X1,sK58_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1570,f698]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(paramodulation,[status(thm)],[f1045,f1570]) ).
fof(f1582,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| sQ99_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1575,f1189,f701,f1281,f742,f384,f339]) ).
fof(f1584,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ100_spl
| is_a_theorem(or(X0,sK59_skl)) ),
inference(resolution,[status(thm)],[f706,f1149]) ).
fof(f1592,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1571,f1148]) ).
fof(f1593,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1571,f1149]) ).
fof(f1594,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,sK58_skl),X1)) ),
inference(resolution,[status(thm)],[f1571,f1150]) ).
fof(f1595,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f1571,f664]) ).
fof(f1596,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f1572,f1148]) ).
fof(f1597,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f1572,f1149]) ).
fof(f1598,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(sK58_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f1572,f1150]) ).
fof(f1599,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(sK58_skl,X0))) ),
inference(resolution,[status(thm)],[f1572,f664]) ).
fof(f1616,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1568,f1148]) ).
fof(f1617,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1568,f1149]) ).
fof(f1618,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(or(necessarily(necessarily(sK58_skl)),X0)) ),
inference(resolution,[status(thm)],[f1568,f1150]) ).
fof(f1619,plain,
( ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1568,f664]) ).
fof(f1626,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1565,f1148]) ).
fof(f1627,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1565,f1149]) ).
fof(f1628,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X0,necessarily(sK58_skl)),X1)) ),
inference(resolution,[status(thm)],[f1565,f1150]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X0,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1565,f664]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1565]) ).
fof(f1632,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1566,f1148]) ).
fof(f1633,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1566,f1149]) ).
fof(f1634,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,necessarily(sK58_skl)),X1)) ),
inference(resolution,[status(thm)],[f1566,f1150]) ).
fof(f1635,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1566,f664]) ).
fof(f1636,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(necessarily(sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f1567,f1148]) ).
fof(f1637,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(necessarily(sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f1567,f1149]) ).
fof(f1638,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(or(or(necessarily(sK58_skl),X0),X1)) ),
inference(resolution,[status(thm)],[f1567,f1150]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(necessarily(sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f1567,f664]) ).
fof(f1641,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1579,f1148]) ).
fof(f1642,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1579,f1149]) ).
fof(f1643,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(necessarily(implies(X0,sK58_skl)),X1)) ),
inference(resolution,[status(thm)],[f1579,f1150]) ).
fof(f1644,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(implies(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1579,f664]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1579]) ).
fof(f1646,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(necessarily(sK59_skl),X1))) ),
inference(resolution,[status(thm)],[f1256,f1148]) ).
fof(f1647,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(necessarily(sK59_skl),X1))) ),
inference(resolution,[status(thm)],[f1256,f1149]) ).
fof(f1648,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ89_spl
| is_a_theorem(or(or(necessarily(sK59_skl),X0),X1)) ),
inference(resolution,[status(thm)],[f1256,f1150]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(necessarily(sK59_skl),X0))) ),
inference(resolution,[status(thm)],[f1256,f664]) ).
fof(f1650,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1229,f1148]) ).
fof(f1651,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ89_spl
| is_a_theorem(or(X0,or(X1,necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1229,f1149]) ).
fof(f1652,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,necessarily(sK59_skl)),X1)) ),
inference(resolution,[status(thm)],[f1229,f1150]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1229,f664]) ).
fof(f1655,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(or(sK59_skl,X1)))) ),
inference(resolution,[status(thm)],[f1270,f1148]) ).
fof(f1656,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(or(sK59_skl,X1)))) ),
inference(resolution,[status(thm)],[f1270,f1149]) ).
fof(f1657,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ100_spl
| is_a_theorem(or(necessarily(or(sK59_skl,X0)),X1)) ),
inference(resolution,[status(thm)],[f1270,f1150]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(or(sK59_skl,X0)))) ),
inference(resolution,[status(thm)],[f1270,f664]) ).
fof(f1660,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| is_a_theorem(implies(X0,necessarily(or(X1,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1206,f1148]) ).
fof(f1661,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(or(X1,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1206,f1149]) ).
fof(f1662,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(or(X0,sK59_skl)),X1)) ),
inference(resolution,[status(thm)],[f1206,f1150]) ).
fof(f1663,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(or(X0,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1206,f664]) ).
fof(f1665,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ100_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1195,f1148]) ).
fof(f1666,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(implies(X1,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1195,f1149]) ).
fof(f1667,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,sK59_skl)),X1)) ),
inference(resolution,[status(thm)],[f1195,f1150]) ).
fof(f1668,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(implies(X0,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1195,f664]) ).
fof(f1670,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(sK59_skl))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1178,f340]) ).
fof(f1671,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ89_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1178,f1148]) ).
fof(f1672,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1178,f1149]) ).
fof(f1673,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,necessarily(sK59_skl)),X1)) ),
inference(resolution,[status(thm)],[f1178,f1150]) ).
fof(f1674,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1178,f664]) ).
fof(f1675,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1178]) ).
fof(f1676,definition,
( sQ174_spl
<=> is_a_theorem(necessarily(sK59_skl)) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1677,plain,
( ~ sQ174_spl
| is_a_theorem(necessarily(sK59_skl)) ),
inference(component_clause,[status(thm)],[f1676]) ).
fof(f1679,plain,
( ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ13_spl
| sQ174_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1670,f1189,f1676,f384,f663,f705,f339]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(sK58_skl,X0)) ),
inference(resolution,[status(thm)],[f1274,f1147]) ).
fof(f1681,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1274,f1148]) ).
fof(f1682,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1274,f1149]) ).
fof(f1683,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(necessarily(or(sK58_skl,X0)),X1)) ),
inference(resolution,[status(thm)],[f1274,f1150]) ).
fof(f1684,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(or(sK58_skl,X0)))) ),
inference(resolution,[status(thm)],[f1274,f664]) ).
fof(f1685,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f1208,f1147]) ).
fof(f1686,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,necessarily(or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1208,f1148]) ).
fof(f1687,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1208,f1149]) ).
fof(f1688,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(or(X0,sK58_skl)),X1)) ),
inference(resolution,[status(thm)],[f1208,f1150]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(or(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1208,f664]) ).
fof(f1710,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(X1,sK57_skl),X2))) ),
inference(resolution,[status(thm)],[f1244,f1148]) ).
fof(f1711,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(X1,sK57_skl),X2))) ),
inference(resolution,[status(thm)],[f1244,f1149]) ).
fof(f1712,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ13_spl
| is_a_theorem(or(or(implies(X0,sK57_skl),X1),X2)) ),
inference(resolution,[status(thm)],[f1244,f1150]) ).
fof(f1713,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(implies(X0,sK57_skl),X1))) ),
inference(resolution,[status(thm)],[f1244,f664]) ).
fof(f1715,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ94_spl
| is_a_theorem(implies(X0,or(or(sK57_skl,X1),X2))) ),
inference(resolution,[status(thm)],[f1263,f1148]) ).
fof(f1716,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ94_spl
| is_a_theorem(or(X0,or(or(sK57_skl,X1),X2))) ),
inference(resolution,[status(thm)],[f1263,f1149]) ).
fof(f1717,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ94_spl
| is_a_theorem(or(or(or(sK57_skl,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f1263,f1150]) ).
fof(f1718,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ94_spl
| is_a_theorem(necessarily(or(or(sK57_skl,X0),X1))) ),
inference(resolution,[status(thm)],[f1263,f664]) ).
fof(f1719,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(or(X1,sK57_skl),X2))) ),
inference(resolution,[status(thm)],[f1238,f1148]) ).
fof(f1720,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(or(X1,sK57_skl),X2))) ),
inference(resolution,[status(thm)],[f1238,f1149]) ).
fof(f1721,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| is_a_theorem(or(or(or(X0,sK57_skl),X1),X2)) ),
inference(resolution,[status(thm)],[f1238,f1150]) ).
fof(f1722,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(or(X0,sK57_skl),X1))) ),
inference(resolution,[status(thm)],[f1238,f664]) ).
fof(f1723,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,or(sK57_skl,X2)))) ),
inference(resolution,[status(thm)],[f1264,f1148]) ).
fof(f1724,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,or(sK57_skl,X2)))) ),
inference(resolution,[status(thm)],[f1264,f1149]) ).
fof(f1725,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ94_spl
| is_a_theorem(or(or(X0,or(sK57_skl,X1)),X2)) ),
inference(resolution,[status(thm)],[f1264,f1150]) ).
fof(f1726,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(X0,or(sK57_skl,X1)))) ),
inference(resolution,[status(thm)],[f1264,f664]) ).
fof(f1727,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,or(X2,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1211,f1148]) ).
fof(f1728,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,or(X2,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1211,f1149]) ).
fof(f1729,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,or(X1,sK57_skl)),X2)) ),
inference(resolution,[status(thm)],[f1211,f1150]) ).
fof(f1730,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,or(X1,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1211,f664]) ).
fof(f1731,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1217,f1148]) ).
fof(f1732,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,implies(X2,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1217,f1149]) ).
fof(f1733,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(X1,sK57_skl)),X2)) ),
inference(resolution,[status(thm)],[f1217,f1150]) ).
fof(f1734,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,implies(X1,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1217,f664]) ).
fof(f1736,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(or(sK57_skl,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1265,f340]) ).
fof(f1737,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(sK57_skl,X2)))) ),
inference(resolution,[status(thm)],[f1265,f1148]) ).
fof(f1738,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(X1,or(sK57_skl,X2)))) ),
inference(resolution,[status(thm)],[f1265,f1149]) ).
fof(f1739,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ94_spl
| is_a_theorem(or(implies(X0,or(sK57_skl,X1)),X2)) ),
inference(resolution,[status(thm)],[f1265,f1150]) ).
fof(f1740,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(X0,or(sK57_skl,X1)))) ),
inference(resolution,[status(thm)],[f1265,f664]) ).
fof(f1741,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(sK57_skl,X1))) ),
inference(paramodulation,[status(thm)],[f1045,f1265]) ).
fof(f1742,definition,
! [X1] :
( sQ175_spl
<=> is_a_theorem(or(sK57_skl,X1)) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1743,plain,
! [X0] :
( ~ sQ175_spl
| is_a_theorem(or(sK57_skl,X0)) ),
inference(component_clause,[status(thm)],[f1742]) ).
fof(f1745,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ94_spl
| ~ sQ31_spl
| sQ175_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1736,f1189,f1742,f450,f682,f384,f339]) ).
fof(f1746,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| is_a_theorem(or(X1,sK57_skl))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1203,f340]) ).
fof(f1747,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1203,f1148]) ).
fof(f1748,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| is_a_theorem(or(X0,implies(X1,or(X2,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1203,f1149]) ).
fof(f1749,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| is_a_theorem(or(implies(X0,or(X1,sK57_skl)),X2)) ),
inference(resolution,[status(thm)],[f1203,f1150]) ).
fof(f1750,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| is_a_theorem(necessarily(implies(X0,or(X1,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1203,f664]) ).
fof(f1751,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| is_a_theorem(or(X0,or(X1,sK57_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1203]) ).
fof(f1752,definition,
! [X1] :
( sQ176_spl
<=> is_a_theorem(or(X1,sK57_skl)) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ176_spl
| is_a_theorem(or(X0,sK57_skl)) ),
inference(component_clause,[status(thm)],[f1752]) ).
fof(f1755,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| sQ176_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1746,f1189,f1752,f682,f642,f628,f384,f339]) ).
fof(f1756,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X1,sK58_skl))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1576,f340]) ).
fof(f1757,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1576,f1148]) ).
fof(f1758,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1576,f1149]) ).
fof(f1759,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X0,implies(X1,sK58_skl)),X2)) ),
inference(resolution,[status(thm)],[f1576,f1150]) ).
fof(f1760,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1576,f664]) ).
fof(f1761,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1576]) ).
fof(f1762,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1576]) ).
fof(f1763,definition,
! [X1] :
( sQ177_spl
<=> is_a_theorem(implies(X1,sK58_skl)) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1764,plain,
! [X0] :
( ~ sQ177_spl
| is_a_theorem(implies(X0,sK58_skl)) ),
inference(component_clause,[status(thm)],[f1763]) ).
fof(f1766,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| sQ177_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1756,f1189,f1763,f1281,f742,f384,f339]) ).
fof(f1767,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1577,f1148]) ).
fof(f1768,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,implies(X2,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1577,f1149]) ).
fof(f1769,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,implies(X1,sK58_skl)),X2)) ),
inference(resolution,[status(thm)],[f1577,f1150]) ).
fof(f1770,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1577,f664]) ).
fof(f1771,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1577]) ).
fof(f1772,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(implies(X1,sK58_skl),X2))) ),
inference(resolution,[status(thm)],[f1578,f1148]) ).
fof(f1773,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(implies(X1,sK58_skl),X2))) ),
inference(resolution,[status(thm)],[f1578,f1149]) ).
fof(f1774,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(implies(X0,sK58_skl),X1),X2)) ),
inference(resolution,[status(thm)],[f1578,f1150]) ).
fof(f1775,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(implies(X0,sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f1578,f664]) ).
fof(f1776,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,sK58_skl),X1)) ),
inference(paramodulation,[status(thm)],[f1045,f1578]) ).
fof(f1777,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(X1,sK59_skl),X2))) ),
inference(resolution,[status(thm)],[f1243,f1148]) ).
fof(f1778,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(X1,sK59_skl),X2))) ),
inference(resolution,[status(thm)],[f1243,f1149]) ).
fof(f1779,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ13_spl
| is_a_theorem(or(or(implies(X0,sK59_skl),X1),X2)) ),
inference(resolution,[status(thm)],[f1243,f1150]) ).
fof(f1780,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(implies(X0,sK59_skl),X1))) ),
inference(resolution,[status(thm)],[f1243,f664]) ).
fof(f1782,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ100_spl
| is_a_theorem(implies(X0,or(or(sK59_skl,X1),X2))) ),
inference(resolution,[status(thm)],[f1267,f1148]) ).
fof(f1783,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ100_spl
| is_a_theorem(or(X0,or(or(sK59_skl,X1),X2))) ),
inference(resolution,[status(thm)],[f1267,f1149]) ).
fof(f1784,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ100_spl
| is_a_theorem(or(or(or(sK59_skl,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f1267,f1150]) ).
fof(f1785,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ100_spl
| is_a_theorem(necessarily(or(or(sK59_skl,X0),X1))) ),
inference(resolution,[status(thm)],[f1267,f664]) ).
fof(f1786,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(or(X1,sK59_skl),X2))) ),
inference(resolution,[status(thm)],[f1237,f1148]) ).
fof(f1787,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(or(X1,sK59_skl),X2))) ),
inference(resolution,[status(thm)],[f1237,f1149]) ).
fof(f1788,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| is_a_theorem(or(or(or(X0,sK59_skl),X1),X2)) ),
inference(resolution,[status(thm)],[f1237,f1150]) ).
fof(f1789,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(or(X0,sK59_skl),X1))) ),
inference(resolution,[status(thm)],[f1237,f664]) ).
fof(f1790,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,or(sK59_skl,X2)))) ),
inference(resolution,[status(thm)],[f1268,f1148]) ).
fof(f1791,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,or(sK59_skl,X2)))) ),
inference(resolution,[status(thm)],[f1268,f1149]) ).
fof(f1792,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ100_spl
| is_a_theorem(or(or(X0,or(sK59_skl,X1)),X2)) ),
inference(resolution,[status(thm)],[f1268,f1150]) ).
fof(f1793,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(X0,or(sK59_skl,X1)))) ),
inference(resolution,[status(thm)],[f1268,f664]) ).
fof(f1794,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,or(X2,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1210,f1148]) ).
fof(f1795,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,or(X2,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1210,f1149]) ).
fof(f1796,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,or(X1,sK59_skl)),X2)) ),
inference(resolution,[status(thm)],[f1210,f1150]) ).
fof(f1797,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,or(X1,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1210,f664]) ).
fof(f1798,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1216,f1148]) ).
fof(f1799,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,implies(X2,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1216,f1149]) ).
fof(f1800,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(X1,sK59_skl)),X2)) ),
inference(resolution,[status(thm)],[f1216,f1150]) ).
fof(f1801,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,implies(X1,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1216,f664]) ).
fof(f1804,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ100_spl
| is_a_theorem(implies(X0,necessarily(necessarily(necessarily(sK59_skl))))) ),
inference(resolution,[status(thm)],[f1121,f1148]) ).
fof(f1805,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ100_spl
| is_a_theorem(or(X0,necessarily(necessarily(necessarily(sK59_skl))))) ),
inference(resolution,[status(thm)],[f1121,f1149]) ).
fof(f1806,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ100_spl
| is_a_theorem(or(necessarily(necessarily(necessarily(sK59_skl))),X0)) ),
inference(resolution,[status(thm)],[f1121,f1150]) ).
fof(f1807,plain,
( ~ sQ89_spl
| ~ sQ100_spl
| is_a_theorem(necessarily(necessarily(necessarily(necessarily(sK59_skl))))) ),
inference(resolution,[status(thm)],[f1121,f664]) ).
fof(f1808,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(or(sK59_skl,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1269,f340]) ).
fof(f1809,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(sK59_skl,X2)))) ),
inference(resolution,[status(thm)],[f1269,f1148]) ).
fof(f1810,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(X1,or(sK59_skl,X2)))) ),
inference(resolution,[status(thm)],[f1269,f1149]) ).
fof(f1811,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ100_spl
| is_a_theorem(or(implies(X0,or(sK59_skl,X1)),X2)) ),
inference(resolution,[status(thm)],[f1269,f1150]) ).
fof(f1812,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(X0,or(sK59_skl,X1)))) ),
inference(resolution,[status(thm)],[f1269,f664]) ).
fof(f1813,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(sK59_skl,X1))) ),
inference(paramodulation,[status(thm)],[f1045,f1269]) ).
fof(f1814,definition,
! [X1] :
( sQ178_spl
<=> is_a_theorem(or(sK59_skl,X1)) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ178_spl
| is_a_theorem(or(sK59_skl,X0)) ),
inference(component_clause,[status(thm)],[f1814]) ).
fof(f1817,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ100_spl
| ~ sQ31_spl
| sQ178_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1808,f1189,f1814,f450,f705,f384,f339]) ).
fof(f1818,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| is_a_theorem(or(X1,sK59_skl))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1205,f340]) ).
fof(f1819,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1205,f1148]) ).
fof(f1820,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| is_a_theorem(or(X0,implies(X1,or(X2,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1205,f1149]) ).
fof(f1821,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| is_a_theorem(or(implies(X0,or(X1,sK59_skl)),X2)) ),
inference(resolution,[status(thm)],[f1205,f1150]) ).
fof(f1822,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| is_a_theorem(necessarily(implies(X0,or(X1,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1205,f664]) ).
fof(f1823,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| is_a_theorem(or(X0,or(X1,sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1205]) ).
fof(f1824,definition,
! [X1] :
( sQ179_spl
<=> is_a_theorem(or(X1,sK59_skl)) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1825,plain,
! [X0] :
( ~ sQ179_spl
| is_a_theorem(or(X0,sK59_skl)) ),
inference(component_clause,[status(thm)],[f1824]) ).
fof(f1827,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| sQ179_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1818,f1189,f1824,f705,f642,f628,f384,f339]) ).
fof(f1828,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(or(sK58_skl,X1),X2))) ),
inference(resolution,[status(thm)],[f1271,f1148]) ).
fof(f1829,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,or(or(sK58_skl,X1),X2))) ),
inference(resolution,[status(thm)],[f1271,f1149]) ).
fof(f1830,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(or(or(or(sK58_skl,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f1271,f1150]) ).
fof(f1831,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(or(or(sK58_skl,X0),X1))) ),
inference(resolution,[status(thm)],[f1271,f664]) ).
fof(f1832,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(or(X1,sK58_skl),X2))) ),
inference(resolution,[status(thm)],[f1236,f1148]) ).
fof(f1833,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(or(X1,sK58_skl),X2))) ),
inference(resolution,[status(thm)],[f1236,f1149]) ).
fof(f1834,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(or(or(X0,sK58_skl),X1),X2)) ),
inference(resolution,[status(thm)],[f1236,f1150]) ).
fof(f1835,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(or(X0,sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f1236,f664]) ).
fof(f1836,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,or(sK58_skl,X2)))) ),
inference(resolution,[status(thm)],[f1272,f1148]) ).
fof(f1837,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,or(sK58_skl,X2)))) ),
inference(resolution,[status(thm)],[f1272,f1149]) ).
fof(f1838,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| is_a_theorem(or(or(X0,or(sK58_skl,X1)),X2)) ),
inference(resolution,[status(thm)],[f1272,f1150]) ).
fof(f1839,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(X0,or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1272,f664]) ).
fof(f1840,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,or(X2,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1209,f1148]) ).
fof(f1841,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,or(X2,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1209,f1149]) ).
fof(f1842,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,or(X1,sK58_skl)),X2)) ),
inference(resolution,[status(thm)],[f1209,f1150]) ).
fof(f1843,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1209,f664]) ).
fof(f1844,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1122,f1147]) ).
fof(f1845,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,necessarily(necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1122,f1148]) ).
fof(f1846,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,necessarily(necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1122,f1149]) ).
fof(f1847,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(necessarily(necessarily(necessarily(sK58_skl))),X0)) ),
inference(resolution,[status(thm)],[f1122,f1150]) ).
fof(f1848,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(necessarily(necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1122,f664]) ).
fof(f1849,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(sK58_skl,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1273,f340]) ).
fof(f1850,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(sK58_skl,X2)))) ),
inference(resolution,[status(thm)],[f1273,f1148]) ).
fof(f1851,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(X1,or(sK58_skl,X2)))) ),
inference(resolution,[status(thm)],[f1273,f1149]) ).
fof(f1852,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(or(implies(X0,or(sK58_skl,X1)),X2)) ),
inference(resolution,[status(thm)],[f1273,f1150]) ).
fof(f1853,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(X0,or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1273,f664]) ).
fof(f1854,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(sK58_skl,X1))) ),
inference(paramodulation,[status(thm)],[f1045,f1273]) ).
fof(f1855,definition,
! [X1] :
( sQ180_spl
<=> is_a_theorem(or(sK58_skl,X1)) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1856,plain,
! [X0] :
( ~ sQ180_spl
| is_a_theorem(or(sK58_skl,X0)) ),
inference(component_clause,[status(thm)],[f1855]) ).
fof(f1858,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| sQ180_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1849,f1189,f1855,f450,f701,f384,f339]) ).
fof(f1859,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(X1,sK58_skl))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1207,f340]) ).
fof(f1860,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1207,f1148]) ).
fof(f1861,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,implies(X1,or(X2,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1207,f1149]) ).
fof(f1862,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(implies(X0,or(X1,sK58_skl)),X2)) ),
inference(resolution,[status(thm)],[f1207,f1150]) ).
fof(f1863,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(implies(X0,or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1207,f664]) ).
fof(f1864,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,or(X1,sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1207]) ).
fof(f1865,definition,
! [X1] :
( sQ181_spl
<=> is_a_theorem(or(X1,sK58_skl)) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1866,plain,
! [X0] :
( ~ sQ181_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(component_clause,[status(thm)],[f1865]) ).
fof(f1868,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| sQ181_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1859,f1189,f1865,f701,f642,f628,f384,f339]) ).
fof(f1869,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(strict_equiv(sK60_skl,sK61_skl),X1))) ),
inference(resolution,[status(thm)],[f1262,f1148]) ).
fof(f1870,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(strict_equiv(sK60_skl,sK61_skl),X1))) ),
inference(resolution,[status(thm)],[f1262,f1149]) ).
fof(f1871,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ104_spl
| is_a_theorem(or(or(strict_equiv(sK60_skl,sK61_skl),X0),X1)) ),
inference(resolution,[status(thm)],[f1262,f1150]) ).
fof(f1872,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(strict_equiv(sK60_skl,sK61_skl),X0))) ),
inference(resolution,[status(thm)],[f1262,f664]) ).
fof(f1873,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(necessarily(X1),X1),X2))) ),
inference(resolution,[status(thm)],[f1241,f1148]) ).
fof(f1874,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(necessarily(X1),X1),X2))) ),
inference(resolution,[status(thm)],[f1241,f1149]) ).
fof(f1875,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| is_a_theorem(or(or(implies(necessarily(X0),X0),X1),X2)) ),
inference(resolution,[status(thm)],[f1241,f1150]) ).
fof(f1876,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(implies(necessarily(X0),X0),X1))) ),
inference(resolution,[status(thm)],[f1241,f664]) ).
fof(f1877,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1235,f1148]) ).
fof(f1878,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ104_spl
| is_a_theorem(or(X0,or(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1235,f1149]) ).
fof(f1879,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,strict_equiv(sK60_skl,sK61_skl)),X1)) ),
inference(resolution,[status(thm)],[f1235,f1150]) ).
fof(f1880,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1235,f664]) ).
fof(f1881,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f1137,f1148]) ).
fof(f1882,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f1137,f1149]) ).
fof(f1883,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(or(X0,or(not(X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f1137,f1150]) ).
fof(f1884,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(X0,or(not(X0),X1)))) ),
inference(resolution,[status(thm)],[f1137,f664]) ).
fof(f1889,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1136,f1148]) ).
fof(f1890,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X0,or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1136,f1149]) ).
fof(f1891,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,or(X1,not(X0))),X2)) ),
inference(resolution,[status(thm)],[f1136,f1150]) ).
fof(f1892,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,or(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f1136,f664]) ).
fof(f1897,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1214,f1148]) ).
fof(f1898,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| is_a_theorem(or(X0,or(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1214,f1149]) ).
fof(f1899,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(necessarily(X1),X1)),X2)) ),
inference(resolution,[status(thm)],[f1214,f1150]) ).
fof(f1900,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1214,f664]) ).
fof(f1901,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1135,f1148]) ).
fof(f1902,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1135,f1149]) ).
fof(f1903,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(or(X0,implies(X1,not(X0))),X2)) ),
inference(resolution,[status(thm)],[f1135,f1150]) ).
fof(f1904,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(X0,implies(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f1135,f664]) ).
fof(f1905,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1045,f1135]) ).
fof(f1911,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,necessarily(implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1131,f1148]) ).
fof(f1912,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,necessarily(implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1131,f1149]) ).
fof(f1913,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(or(necessarily(implies(and(X0,X1),X0)),X2)) ),
inference(resolution,[status(thm)],[f1131,f1150]) ).
fof(f1914,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(necessarily(implies(and(X0,X1),X0)))) ),
inference(resolution,[status(thm)],[f1131,f664]) ).
fof(f1915,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f657,f1131]) ).
fof(f1917,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(implies(X0,necessarily(implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1127,f1148]) ).
fof(f1918,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(or(X0,necessarily(implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1127,f1149]) ).
fof(f1919,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(or(necessarily(implies(and(X0,X1),X1)),X2)) ),
inference(resolution,[status(thm)],[f1127,f1150]) ).
fof(f1920,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(necessarily(implies(and(X0,X1),X1)))) ),
inference(resolution,[status(thm)],[f1127,f664]) ).
fof(f1921,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f657,f1127]) ).
fof(f1923,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1129,f1148]) ).
fof(f1924,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1129,f1149]) ).
fof(f1925,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,implies(X1,X0))),X2)) ),
inference(resolution,[status(thm)],[f1129,f1150]) ).
fof(f1926,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(necessarily(implies(X0,implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f1129,f664]) ).
fof(f1928,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1045,f1129]) ).
fof(f1930,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1130,f1148]) ).
fof(f1931,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| is_a_theorem(or(X0,necessarily(implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1130,f1149]) ).
fof(f1932,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(or(necessarily(implies(X0,or(X1,X0))),X2)) ),
inference(resolution,[status(thm)],[f1130,f1150]) ).
fof(f1933,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(necessarily(implies(X0,or(X1,X0))))) ),
inference(resolution,[status(thm)],[f1130,f664]) ).
fof(f1936,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1126,f1148]) ).
fof(f1937,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1126,f1149]) ).
fof(f1938,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| is_a_theorem(or(necessarily(implies(X0,or(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f1126,f1150]) ).
fof(f1939,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(necessarily(implies(X0,or(X0,X1))))) ),
inference(resolution,[status(thm)],[f1126,f664]) ).
fof(f1942,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ104_spl
| is_a_theorem(implies(X0,implies(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1184,f1148]) ).
fof(f1943,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1184,f1149]) ).
fof(f1944,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,strict_equiv(sK60_skl,sK61_skl)),X1)) ),
inference(resolution,[status(thm)],[f1184,f1150]) ).
fof(f1945,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1184,f664]) ).
fof(f1946,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1184]) ).
fof(f1949,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| is_a_theorem(implies(X0,implies(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1166,f1148]) ).
fof(f1950,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1166,f1149]) ).
fof(f1951,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(necessarily(X1),X1)),X2)) ),
inference(resolution,[status(thm)],[f1166,f1150]) ).
fof(f1952,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1166,f664]) ).
fof(f1953,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1045,f1166]) ).
fof(f1955,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ25_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(and(X1,X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1240,f1148]) ).
fof(f1956,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ25_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(and(X1,X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1240,f1149]) ).
fof(f1957,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(or(or(implies(and(X0,X1),X1),X2),X3)) ),
inference(resolution,[status(thm)],[f1240,f1150]) ).
fof(f1958,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(implies(and(X0,X1),X1),X2))) ),
inference(resolution,[status(thm)],[f1240,f664]) ).
fof(f1959,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f657,f1240]) ).
fof(f1960,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(and(X1,X2),X1),X3))) ),
inference(resolution,[status(thm)],[f1239,f1148]) ).
fof(f1961,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(and(X1,X2),X1),X3))) ),
inference(resolution,[status(thm)],[f1239,f1149]) ).
fof(f1962,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(or(or(implies(and(X0,X1),X0),X2),X3)) ),
inference(resolution,[status(thm)],[f1239,f1150]) ).
fof(f1963,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(implies(and(X0,X1),X0),X2))) ),
inference(resolution,[status(thm)],[f1239,f664]) ).
fof(f1964,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f657,f1239]) ).
fof(f1965,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f1247,f1148]) ).
fof(f1966,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f1247,f1149]) ).
fof(f1967,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(or(implies(X0,or(X0,X1)),X2),X3)) ),
inference(resolution,[status(thm)],[f1247,f1150]) ).
fof(f1968,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(implies(X0,or(X0,X1)),X2))) ),
inference(resolution,[status(thm)],[f1247,f664]) ).
fof(f1970,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1246,f1148]) ).
fof(f1971,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1246,f1149]) ).
fof(f1972,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(or(implies(X0,or(X1,X0)),X2),X3)) ),
inference(resolution,[status(thm)],[f1246,f1150]) ).
fof(f1973,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(implies(X0,or(X1,X0)),X2))) ),
inference(resolution,[status(thm)],[f1246,f664]) ).
fof(f1975,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1245,f1148]) ).
fof(f1976,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1245,f1149]) ).
fof(f1977,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(or(implies(X0,implies(X1,X0)),X2),X3)) ),
inference(resolution,[status(thm)],[f1245,f1150]) ).
fof(f1978,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(implies(X0,implies(X1,X0)),X2))) ),
inference(resolution,[status(thm)],[f1245,f664]) ).
fof(f1980,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(X0,or(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1045,f1245]) ).
fof(f1981,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ25_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1213,f1148]) ).
fof(f1982,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(or(X0,or(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1213,f1149]) ).
fof(f1983,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ25_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(and(X1,X2),X2)),X3)) ),
inference(resolution,[status(thm)],[f1213,f1150]) ).
fof(f1984,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1213,f664]) ).
fof(f1985,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f657,f1213]) ).
fof(f1986,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1212,f1148]) ).
fof(f1987,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1212,f1149]) ).
fof(f1988,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(and(X1,X2),X1)),X3)) ),
inference(resolution,[status(thm)],[f1212,f1150]) ).
fof(f1989,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1212,f664]) ).
fof(f1990,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f657,f1212]) ).
fof(f1991,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1220,f1148]) ).
fof(f1992,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1220,f1149]) ).
fof(f1993,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(X1,or(X1,X2))),X3)) ),
inference(resolution,[status(thm)],[f1220,f1150]) ).
fof(f1994,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1220,f664]) ).
fof(f1996,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1219,f1148]) ).
fof(f1997,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,or(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1219,f1149]) ).
fof(f1998,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(X1,or(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f1219,f1150]) ).
fof(f1999,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1219,f664]) ).
fof(f2001,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1218,f1148]) ).
fof(f2002,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1218,f1149]) ).
fof(f2003,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(X1,implies(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f1218,f1150]) ).
fof(f2004,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1218,f664]) ).
fof(f2008,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(implies(X0,necessarily(necessarily(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1143,f1148]) ).
fof(f2009,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(or(X0,necessarily(necessarily(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1143,f1149]) ).
fof(f2010,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(or(necessarily(necessarily(implies(necessarily(X0),X0))),X1)) ),
inference(resolution,[status(thm)],[f1143,f1150]) ).
fof(f2011,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(necessarily(necessarily(implies(necessarily(X0),X0))))) ),
inference(resolution,[status(thm)],[f1143,f664]) ).
fof(f2013,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(implies(X0,necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1142,f1148]) ).
fof(f2014,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(or(X0,necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1142,f1149]) ).
fof(f2015,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(or(necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))),X0)) ),
inference(resolution,[status(thm)],[f1142,f1150]) ).
fof(f2016,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(necessarily(necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1142,f664]) ).
fof(f2017,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(resolution,[status(thm)],[f484,f340]) ).
fof(f2018,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f484,f1148]) ).
fof(f2019,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f484,f1149]) ).
fof(f2020,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f484,f1150]) ).
fof(f2021,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f484,f664]) ).
fof(f2022,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(not(X0),X1),or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f1045,f484]) ).
fof(f2023,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(or(X0,not(X1))) ),
inference(resolution,[status(thm)],[f1042,f340]) ).
fof(f2024,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1042,f1148]) ).
fof(f2025,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X0,implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1042,f1149]) ).
fof(f2026,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(implies(or(X0,not(X1)),implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f1042,f1150]) ).
fof(f2027,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(implies(or(X0,not(X1)),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1042,f664]) ).
fof(f2028,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(and(X1,not(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f643,f1042]) ).
fof(f2029,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(X0,possibly(X1)),implies(necessarily(not(X1)),X0))) ),
inference(paramodulation,[status(thm)],[f941,f1042]) ).
fof(f2030,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,not(not(X1))),or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1045,f1042]) ).
fof(f2031,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ43_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(resolution,[status(thm)],[f495,f340]) ).
fof(f2032,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ43_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f495,f1148]) ).
fof(f2033,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ43_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f495,f1149]) ).
fof(f2034,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ43_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f495,f1150]) ).
fof(f2035,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f495,f664]) ).
fof(f2036,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(X0,not(X1)),or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1045,f495]) ).
fof(f2037,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ119_spl
| is_a_theorem(necessarily(possibly(X0)))
| ~ is_a_theorem(possibly(X0)) ),
inference(resolution,[status(thm)],[f776,f340]) ).
fof(f2038,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ119_spl
| is_a_theorem(implies(X0,implies(possibly(X1),necessarily(possibly(X1))))) ),
inference(resolution,[status(thm)],[f776,f1148]) ).
fof(f2039,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ119_spl
| is_a_theorem(or(X0,implies(possibly(X1),necessarily(possibly(X1))))) ),
inference(resolution,[status(thm)],[f776,f1149]) ).
fof(f2040,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ119_spl
| is_a_theorem(or(implies(possibly(X0),necessarily(possibly(X0))),X1)) ),
inference(resolution,[status(thm)],[f776,f1150]) ).
fof(f2041,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ119_spl
| is_a_theorem(necessarily(implies(possibly(X0),necessarily(possibly(X0))))) ),
inference(resolution,[status(thm)],[f776,f664]) ).
fof(f2043,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X0,implies(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1165,f1148]) ).
fof(f2044,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ25_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1165,f1149]) ).
fof(f2045,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ25_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(and(X1,X2),X2)),X3)) ),
inference(resolution,[status(thm)],[f1165,f1150]) ).
fof(f2046,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1165,f664]) ).
fof(f2047,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1045,f1165]) ).
fof(f2048,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f657,f1165]) ).
fof(f2051,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1164,f1148]) ).
fof(f2052,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1164,f1149]) ).
fof(f2053,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(and(X1,X2),X1)),X3)) ),
inference(resolution,[status(thm)],[f1164,f1150]) ).
fof(f2054,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1164,f664]) ).
fof(f2055,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1045,f1164]) ).
fof(f2056,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f657,f1164]) ).
fof(f2059,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1169,f1148]) ).
fof(f2060,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1169,f1149]) ).
fof(f2061,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(X1,or(X1,X2))),X3)) ),
inference(resolution,[status(thm)],[f1169,f1150]) ).
fof(f2062,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1169,f664]) ).
fof(f2063,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1045,f1169]) ).
fof(f2066,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(resolution,[status(thm)],[f396,f340]) ).
fof(f2067,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f396,f1148]) ).
fof(f2068,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f396,f1149]) ).
fof(f2069,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f396,f1150]) ).
fof(f2070,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f396,f664]) ).
fof(f2071,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(or(X0,implies(not(X0),X1)),implies(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f1045,f396]) ).
fof(f2074,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(or(X0,or(X0,X1)),implies(not(X0),X1))) ),
inference(forward_demodulation,[status(thm)],[f1045,f2071]) ).
fof(f2075,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(or(X0,or(X0,X1)),or(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f1045,f2074]) ).
fof(f2081,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1168,f1148]) ).
fof(f2082,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1168,f1149]) ).
fof(f2083,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(X1,or(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f1168,f1150]) ).
fof(f2084,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1168,f664]) ).
fof(f2089,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1167,f1148]) ).
fof(f2090,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1167,f1149]) ).
fof(f2091,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(X1,implies(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f1167,f1150]) ).
fof(f2092,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1167,f664]) ).
fof(f2093,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1045,f1167]) ).
fof(f2095,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1045,f1167]) ).
fof(f2097,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X1,and(X0,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f440,f340]) ).
fof(f2098,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,and(X1,X2))))) ),
inference(resolution,[status(thm)],[f440,f1148]) ).
fof(f2099,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,and(X1,X2))))) ),
inference(resolution,[status(thm)],[f440,f1149]) ).
fof(f2100,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(implies(X0,implies(X1,and(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f440,f1150]) ).
fof(f2101,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,and(X0,X1))))) ),
inference(resolution,[status(thm)],[f440,f664]) ).
fof(f2102,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,implies(X1,and(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f1045,f440]) ).
fof(f2103,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,or(X1,and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1045,f440]) ).
fof(f2104,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f657,f440]) ).
fof(f2105,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(or(implies(and(X1,X2),X1),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1239]) ).
fof(f2106,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(or(implies(and(X1,X2),X2),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1240]) ).
fof(f2107,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(or(implies(necessarily(X1),X1),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1241]) ).
fof(f2108,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(or(implies(X1,implies(X2,X1)),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1245]) ).
fof(f2109,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(or(implies(X1,or(X2,X1)),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1246]) ).
fof(f2110,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(or(implies(X1,or(X1,X2)),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1247]) ).
fof(f2111,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(or(strict_equiv(sK60_skl,sK61_skl),X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1262]) ).
fof(f2112,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,implies(and(X2,X3),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1212]) ).
fof(f2113,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,implies(and(X2,X3),X3)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1213]) ).
fof(f2114,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,implies(necessarily(X2),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1214]) ).
fof(f2115,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,implies(X2,implies(X3,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1218]) ).
fof(f2116,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,implies(X2,or(X3,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1219]) ).
fof(f2117,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,implies(X2,or(X2,X3))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1220]) ).
fof(f2118,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,implies(X2,not(X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1135]) ).
fof(f2119,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,or(not(X1),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1137]) ).
fof(f2120,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,or(X2,not(X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1136]) ).
fof(f2121,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,strict_equiv(sK60_skl,sK61_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1235]) ).
fof(f2123,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X1,implies(X1,X2)),implies(X1,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f396]) ).
fof(f2124,plain,
! [X0,X1] :
( ~ sQ119_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(possibly(X1),necessarily(possibly(X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f776]) ).
fof(f2125,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X1,not(X2)),implies(X2,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1042]) ).
fof(f2126,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X1,X2),implies(X2,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f495]) ).
fof(f2127,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X1,X2),implies(X1,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f484]) ).
fof(f2131,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,strict_equiv(sK60_skl,sK61_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1184]) ).
fof(f2134,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,implies(and(X2,X3),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1164]) ).
fof(f2135,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,implies(and(X2,X3),X3)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1165]) ).
fof(f2136,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,implies(necessarily(X2),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1166]) ).
fof(f2137,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,implies(X2,and(X1,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f440]) ).
fof(f2138,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,implies(X2,implies(X3,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1167]) ).
fof(f2139,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,implies(X2,or(X3,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1168]) ).
fof(f2140,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,implies(X2,or(X2,X3))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1169]) ).
fof(f2142,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1142]) ).
fof(f2143,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(necessarily(implies(necessarily(X1),X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1143]) ).
fof(f2144,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(strict_equiv(sK60_skl,sK61_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1115]) ).
fof(f2145,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(implies(and(X1,X2),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1127]) ).
fof(f2146,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(implies(and(X1,X2),X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1131]) ).
fof(f2147,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(implies(necessarily(X1),X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1119]) ).
fof(f2148,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(implies(X1,or(X1,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1126]) ).
fof(f2149,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(implies(X1,or(X2,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1130]) ).
fof(f2150,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(implies(X1,implies(X2,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1129]) ).
fof(f2151,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X2,X1),implies(or(X0,X2),X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f473,f340]) ).
fof(f2152,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f473,f698]) ).
fof(f2153,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))))) ),
inference(resolution,[status(thm)],[f473,f1148]) ).
fof(f2154,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))))) ),
inference(resolution,[status(thm)],[f473,f1149]) ).
fof(f2155,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),X3)) ),
inference(resolution,[status(thm)],[f473,f1150]) ).
fof(f2156,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))) ),
inference(resolution,[status(thm)],[f473,f664]) ).
fof(f2157,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(X2,X1),implies(or(not(X0),X2),X1)))) ),
inference(paramodulation,[status(thm)],[f1045,f473]) ).
fof(f2158,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(X2,X1),implies(or(X0,not(X2)),X1)))) ),
inference(paramodulation,[status(thm)],[f1045,f473]) ).
fof(f2159,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(implies(and(X1,X2),X1),X3),X0))) ),
inference(resolution,[status(thm)],[f2097,f1239]) ).
fof(f2160,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(implies(and(X1,X2),X2),X3),X0))) ),
inference(resolution,[status(thm)],[f2097,f1240]) ).
fof(f2161,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(implies(necessarily(X1),X1),X2),X0))) ),
inference(resolution,[status(thm)],[f2097,f1241]) ).
fof(f2162,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(implies(X1,implies(X2,X1)),X3),X0))) ),
inference(resolution,[status(thm)],[f2097,f1245]) ).
fof(f2163,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(implies(X1,or(X2,X1)),X3),X0))) ),
inference(resolution,[status(thm)],[f2097,f1246]) ).
fof(f2164,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(implies(X1,or(X1,X2)),X3),X0))) ),
inference(resolution,[status(thm)],[f2097,f1247]) ).
fof(f2165,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(strict_equiv(sK60_skl,sK61_skl),X1),X0))) ),
inference(resolution,[status(thm)],[f2097,f1262]) ).
fof(f2166,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,implies(and(X2,X3),X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1212]) ).
fof(f2167,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,implies(and(X2,X3),X3)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1213]) ).
fof(f2168,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,implies(necessarily(X2),X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1214]) ).
fof(f2169,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,implies(X3,X2))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1218]) ).
fof(f2170,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,or(X3,X2))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1219]) ).
fof(f2171,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,or(X2,X3))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1220]) ).
fof(f2172,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,not(X1))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1135]) ).
fof(f2173,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,or(not(X1),X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1137]) ).
fof(f2174,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,or(X2,not(X1))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1136]) ).
fof(f2175,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,strict_equiv(sK60_skl,sK61_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1235]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(strict_equiv(sK60_skl,sK61_skl),X0))) ),
inference(resolution,[status(thm)],[f2097,f721]) ).
fof(f2177,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,implies(X1,X2)),implies(X1,X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f396]) ).
fof(f2178,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))),X0))) ),
inference(resolution,[status(thm)],[f2097,f473]) ).
fof(f2179,plain,
! [X0,X1] :
( ~ sQ119_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(possibly(X1),necessarily(possibly(X1))),X0))) ),
inference(resolution,[status(thm)],[f2097,f776]) ).
fof(f2180,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(or(X1,not(X2)),implies(X2,X1)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1042]) ).
fof(f2181,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(equiv(X1,X2),implies(X2,X1)),X0))) ),
inference(resolution,[status(thm)],[f2097,f495]) ).
fof(f2182,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(equiv(X1,X2),implies(X1,X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f484]) ).
fof(f2183,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(and(X1,X2),X2),X0))) ),
inference(resolution,[status(thm)],[f2097,f429]) ).
fof(f2184,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(and(X1,X2),X1),X0))) ),
inference(resolution,[status(thm)],[f2097,f418]) ).
fof(f2185,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(necessarily(X1),X1),X0))) ),
inference(resolution,[status(thm)],[f2097,f743]) ).
fof(f2186,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,strict_equiv(sK60_skl,sK61_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1184]) ).
fof(f2187,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,or(X1,X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f451]) ).
fof(f2188,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,or(X2,X1)),X0))) ),
inference(resolution,[status(thm)],[f2097,f462]) ).
fof(f2189,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(and(X2,X3),X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1164]) ).
fof(f2190,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(and(X2,X3),X3)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1165]) ).
fof(f2191,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(necessarily(X2),X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1166]) ).
fof(f2192,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,and(X1,X2))),X0))) ),
inference(resolution,[status(thm)],[f2097,f440]) ).
fof(f2193,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,implies(X3,X2))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1167]) ).
fof(f2194,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,or(X3,X2))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1168]) ).
fof(f2195,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,or(X2,X3))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1169]) ).
fof(f2196,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,X1)),X0))) ),
inference(resolution,[status(thm)],[f2097,f385]) ).
fof(f2197,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1142]) ).
fof(f2198,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(implies(necessarily(X1),X1))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1143]) ).
fof(f2199,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(strict_equiv(sK60_skl,sK61_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1115]) ).
fof(f2200,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(and(X1,X2),X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1127]) ).
fof(f2201,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(and(X1,X2),X1)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1131]) ).
fof(f2202,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(necessarily(X1),X1)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1119]) ).
fof(f2203,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,or(X1,X2))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1126]) ).
fof(f2204,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,or(X2,X1))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1130]) ).
fof(f2205,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,implies(X2,X1))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1129]) ).
fof(f2206,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(or(necessarily(strict_equiv(sK60_skl,sK61_skl)),X1),X0))) ),
inference(resolution,[status(thm)],[f1249,f2097]) ).
fof(f2207,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(or(necessarily(strict_equiv(sK60_skl,sK61_skl)),X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1249,f698]) ).
fof(f2208,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(necessarily(strict_equiv(sK60_skl,sK61_skl)),X1))) ),
inference(resolution,[status(thm)],[f1249,f1148]) ).
fof(f2209,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(necessarily(strict_equiv(sK60_skl,sK61_skl)),X1))) ),
inference(resolution,[status(thm)],[f1249,f1149]) ).
fof(f2210,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ89_spl
| is_a_theorem(or(or(necessarily(strict_equiv(sK60_skl,sK61_skl)),X0),X1)) ),
inference(resolution,[status(thm)],[f1249,f1150]) ).
fof(f2211,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(necessarily(strict_equiv(sK60_skl,sK61_skl)),X0))) ),
inference(resolution,[status(thm)],[f1249,f664]) ).
fof(f2212,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(or(necessarily(implies(necessarily(X1),X1)),X2),X0))) ),
inference(resolution,[status(thm)],[f1248,f2097]) ).
fof(f2213,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(or(necessarily(implies(necessarily(X1),X1)),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1248,f698]) ).
fof(f2214,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(necessarily(implies(necessarily(X1),X1)),X2))) ),
inference(resolution,[status(thm)],[f1248,f1148]) ).
fof(f2215,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(necessarily(implies(necessarily(X1),X1)),X2))) ),
inference(resolution,[status(thm)],[f1248,f1149]) ).
fof(f2216,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(or(or(necessarily(implies(necessarily(X0),X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f1248,f1150]) ).
fof(f2217,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(necessarily(implies(necessarily(X0),X0)),X1))) ),
inference(resolution,[status(thm)],[f1248,f664]) ).
fof(f2218,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,and(or(X1,necessarily(strict_equiv(sK60_skl,sK61_skl))),X0))) ),
inference(resolution,[status(thm)],[f1222,f2097]) ).
fof(f2219,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(and(or(X1,necessarily(strict_equiv(sK60_skl,sK61_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1222,f698]) ).
fof(f2220,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1222,f1148]) ).
fof(f2221,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ89_spl
| is_a_theorem(or(X0,or(X1,necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1222,f1149]) ).
fof(f2222,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,necessarily(strict_equiv(sK60_skl,sK61_skl))),X1)) ),
inference(resolution,[status(thm)],[f1222,f1150]) ).
fof(f2223,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1222,f664]) ).
fof(f2224,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,and(or(X1,necessarily(implies(necessarily(X2),X2))),X0))) ),
inference(resolution,[status(thm)],[f1221,f2097]) ).
fof(f2225,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(and(or(X1,necessarily(implies(necessarily(X2),X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1221,f698]) ).
fof(f2226,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1221,f1148]) ).
fof(f2227,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(or(X0,or(X1,necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1221,f1149]) ).
fof(f2228,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,necessarily(implies(necessarily(X1),X1))),X2)) ),
inference(resolution,[status(thm)],[f1221,f1150]) ).
fof(f2229,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,necessarily(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1221,f664]) ).
fof(f2230,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f407,f340]) ).
fof(f2231,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ19_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),X0))) ),
inference(resolution,[status(thm)],[f407,f2097]) ).
fof(f2232,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f407,f698]) ).
fof(f2233,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f407,f1148]) ).
fof(f2234,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f407,f1149]) ).
fof(f2235,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f407,f1150]) ).
fof(f2236,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f407,f664]) ).
fof(f2237,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),implies(not(X0),X2)))) ),
inference(paramodulation,[status(thm)],[f1045,f407]) ).
fof(f2238,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(or(X1,X2),implies(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f1045,f407]) ).
fof(f2240,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2)))) ),
inference(forward_demodulation,[status(thm)],[f1045,f2237]) ).
fof(f2242,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(strict_equiv(sK60_skl,sK61_skl)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1171,f340]) ).
fof(f2243,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,and(implies(X1,necessarily(strict_equiv(sK60_skl,sK61_skl))),X0))) ),
inference(resolution,[status(thm)],[f1171,f2097]) ).
fof(f2244,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X1,necessarily(strict_equiv(sK60_skl,sK61_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1171,f698]) ).
fof(f2245,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ89_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1171,f1148]) ).
fof(f2246,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1171,f1149]) ).
fof(f2247,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,necessarily(strict_equiv(sK60_skl,sK61_skl))),X1)) ),
inference(resolution,[status(thm)],[f1171,f1150]) ).
fof(f2248,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1171,f664]) ).
fof(f2249,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1171]) ).
fof(f2250,definition,
( sQ182_spl
<=> is_a_theorem(necessarily(strict_equiv(sK60_skl,sK61_skl))) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f2251,plain,
( ~ sQ182_spl
| is_a_theorem(necessarily(strict_equiv(sK60_skl,sK61_skl))) ),
inference(component_clause,[status(thm)],[f2250]) ).
fof(f2253,plain,
( ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ13_spl
| sQ182_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f2242,f1189,f2250,f384,f663,f720,f339]) ).
fof(f2254,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(necessarily(X1),X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1170,f340]) ).
fof(f2255,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,and(implies(X1,necessarily(implies(necessarily(X2),X2))),X0))) ),
inference(resolution,[status(thm)],[f1170,f2097]) ).
fof(f2256,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X1,necessarily(implies(necessarily(X2),X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1170,f698]) ).
fof(f2257,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1170,f1148]) ).
fof(f2258,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1170,f1149]) ).
fof(f2259,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,necessarily(implies(necessarily(X1),X1))),X2)) ),
inference(resolution,[status(thm)],[f1170,f1150]) ).
fof(f2260,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,necessarily(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1170,f664]) ).
fof(f2261,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(implies(necessarily(X1),X1)))) ),
inference(paramodulation,[status(thm)],[f1045,f1170]) ).
fof(f2262,definition,
! [X1] :
( sQ183_spl
<=> is_a_theorem(necessarily(implies(necessarily(X1),X1))) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f2263,plain,
! [X0] :
( ~ sQ183_spl
| is_a_theorem(necessarily(implies(necessarily(X0),X0))) ),
inference(component_clause,[status(thm)],[f2262]) ).
fof(f2265,plain,
( ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| sQ183_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f2254,f1189,f2262,f384,f742,f663,f339]) ).
fof(f2266,plain,
( ~ sQ22_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f1291]) ).
fof(f2267,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X1,X0),equiv(X0,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f506,f340]) ).
fof(f2268,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ46_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))),X0))) ),
inference(resolution,[status(thm)],[f506,f2097]) ).
fof(f2269,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f506,f698]) ).
fof(f2270,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))) ),
inference(resolution,[status(thm)],[f506,f1148]) ).
fof(f2271,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))) ),
inference(resolution,[status(thm)],[f506,f1149]) ).
fof(f2272,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f506,f1150]) ).
fof(f2273,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) ),
inference(resolution,[status(thm)],[f506,f664]) ).
fof(f2274,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f1045,f506]) ).
fof(f2275,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1045,f506]) ).
fof(f2277,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(necessarily(or(strict_equiv(sK60_skl,sK61_skl),X1)),X0))) ),
inference(resolution,[status(thm)],[f1872,f2097]) ).
fof(f2278,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(or(strict_equiv(sK60_skl,sK61_skl),X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1872,f698]) ).
fof(f2279,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(or(strict_equiv(sK60_skl,sK61_skl),X1)))) ),
inference(resolution,[status(thm)],[f1872,f1148]) ).
fof(f2280,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(or(strict_equiv(sK60_skl,sK61_skl),X1)))) ),
inference(resolution,[status(thm)],[f1872,f1149]) ).
fof(f2281,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(or(necessarily(or(strict_equiv(sK60_skl,sK61_skl),X0)),X1)) ),
inference(resolution,[status(thm)],[f1872,f1150]) ).
fof(f2282,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(or(strict_equiv(sK60_skl,sK61_skl),X0)))) ),
inference(resolution,[status(thm)],[f1872,f664]) ).
fof(f2284,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(necessarily(or(implies(necessarily(X1),X1),X2)),X0))) ),
inference(resolution,[status(thm)],[f1876,f2097]) ).
fof(f2285,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(or(implies(necessarily(X1),X1),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1876,f698]) ).
fof(f2286,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(or(implies(necessarily(X1),X1),X2)))) ),
inference(resolution,[status(thm)],[f1876,f1148]) ).
fof(f2287,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(or(implies(necessarily(X1),X1),X2)))) ),
inference(resolution,[status(thm)],[f1876,f1149]) ).
fof(f2288,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(or(necessarily(or(implies(necessarily(X0),X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f1876,f1150]) ).
fof(f2289,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(or(implies(necessarily(X0),X0),X1)))) ),
inference(resolution,[status(thm)],[f1876,f664]) ).
fof(f2291,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,strict_equiv(sK60_skl,sK61_skl))),X0))) ),
inference(resolution,[status(thm)],[f1880,f2097]) ).
fof(f2292,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(or(X1,strict_equiv(sK60_skl,sK61_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1880,f698]) ).
fof(f2293,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,necessarily(or(X1,strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1880,f1148]) ).
fof(f2294,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(or(X0,necessarily(or(X1,strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1880,f1149]) ).
fof(f2295,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ34_spl
| is_a_theorem(or(necessarily(or(X0,strict_equiv(sK60_skl,sK61_skl))),X1)) ),
inference(resolution,[status(thm)],[f1880,f1150]) ).
fof(f2296,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(or(X0,strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1880,f664]) ).
fof(f2298,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,or(not(X1),X2))),X0))) ),
inference(resolution,[status(thm)],[f1884,f2097]) ).
fof(f2299,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(necessarily(or(X1,or(not(X1),X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1884,f698]) ).
fof(f2300,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(or(X1,or(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1884,f1148]) ).
fof(f2301,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(or(X1,or(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1884,f1149]) ).
fof(f2302,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(necessarily(or(X0,or(not(X0),X1))),X2)) ),
inference(resolution,[status(thm)],[f1884,f1150]) ).
fof(f2303,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(necessarily(or(X0,or(not(X0),X1))))) ),
inference(resolution,[status(thm)],[f1884,f664]) ).
fof(f2309,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,or(X2,not(X1)))),X0))) ),
inference(resolution,[status(thm)],[f1892,f2097]) ).
fof(f2310,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(and(necessarily(or(X1,or(X2,not(X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1892,f698]) ).
fof(f2311,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,necessarily(or(X1,or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f1892,f1148]) ).
fof(f2312,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X0,necessarily(or(X1,or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f1892,f1149]) ).
fof(f2313,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(or(necessarily(or(X0,or(X1,not(X0)))),X2)) ),
inference(resolution,[status(thm)],[f1892,f1150]) ).
fof(f2314,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(necessarily(or(X0,or(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f1892,f664]) ).
fof(f2319,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(X0),necessarily(X1)))
| ~ is_a_theorem(necessarily(implies(X0,X1))) ),
inference(resolution,[status(thm)],[f732,f340]) ).
fof(f2320,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ107_spl
| is_a_theorem(implies(X0,and(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))),X0))) ),
inference(resolution,[status(thm)],[f732,f2097]) ).
fof(f2321,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f732,f698]) ).
fof(f2322,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(X0,implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f732,f1148]) ).
fof(f2323,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(or(X0,implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f732,f1149]) ).
fof(f2324,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(or(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),X2)) ),
inference(resolution,[status(thm)],[f732,f1150]) ).
fof(f2325,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(necessarily(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))) ),
inference(resolution,[status(thm)],[f732,f664]) ).
fof(f2326,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(or(X0,X1)),implies(necessarily(not(X0)),necessarily(X1)))) ),
inference(paramodulation,[status(thm)],[f1045,f732]) ).
fof(f2328,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,implies(necessarily(X2),X2))),X0))) ),
inference(resolution,[status(thm)],[f1900,f2097]) ).
fof(f2329,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(or(X1,implies(necessarily(X2),X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1900,f698]) ).
fof(f2330,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,necessarily(or(X1,implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1900,f1148]) ).
fof(f2331,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(or(X0,necessarily(or(X1,implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1900,f1149]) ).
fof(f2332,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| is_a_theorem(or(necessarily(or(X0,implies(necessarily(X1),X1))),X2)) ),
inference(resolution,[status(thm)],[f1900,f1150]) ).
fof(f2333,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(or(X0,implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1900,f664]) ).
fof(f2335,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,implies(X2,not(X1)))),X0))) ),
inference(resolution,[status(thm)],[f1904,f2097]) ).
fof(f2336,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(necessarily(or(X1,implies(X2,not(X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1904,f698]) ).
fof(f2337,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,necessarily(or(X1,implies(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f1904,f1148]) ).
fof(f2338,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(or(X1,implies(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f1904,f1149]) ).
fof(f2339,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(or(X0,implies(X1,not(X0)))),X2)) ),
inference(resolution,[status(thm)],[f1904,f1150]) ).
fof(f2340,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(necessarily(or(X0,implies(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f1904,f664]) ).
fof(f2341,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(X0,or(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1045,f1904]) ).
fof(f2347,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(implies(and(X1,X2),X1))),X0))) ),
inference(resolution,[status(thm)],[f1914,f2097]) ).
fof(f2348,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(and(necessarily(necessarily(implies(and(X1,X2),X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1914,f698]) ).
fof(f2349,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,necessarily(necessarily(implies(and(X1,X2),X1))))) ),
inference(resolution,[status(thm)],[f1914,f1148]) ).
fof(f2350,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,necessarily(necessarily(implies(and(X1,X2),X1))))) ),
inference(resolution,[status(thm)],[f1914,f1149]) ).
fof(f2351,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(or(necessarily(necessarily(implies(and(X0,X1),X0))),X2)) ),
inference(resolution,[status(thm)],[f1914,f1150]) ).
fof(f2352,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(necessarily(necessarily(implies(and(X0,X1),X0))))) ),
inference(resolution,[status(thm)],[f1914,f664]) ).
fof(f2353,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(necessarily(implies(equiv(X0,X1),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f657,f1914]) ).
fof(f2355,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(implies(and(X1,X2),X2))),X0))) ),
inference(resolution,[status(thm)],[f1920,f2097]) ).
fof(f2356,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(and(necessarily(necessarily(implies(and(X1,X2),X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1920,f698]) ).
fof(f2357,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(implies(X0,necessarily(necessarily(implies(and(X1,X2),X2))))) ),
inference(resolution,[status(thm)],[f1920,f1148]) ).
fof(f2358,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(or(X0,necessarily(necessarily(implies(and(X1,X2),X2))))) ),
inference(resolution,[status(thm)],[f1920,f1149]) ).
fof(f2359,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(or(necessarily(necessarily(implies(and(X0,X1),X1))),X2)) ),
inference(resolution,[status(thm)],[f1920,f1150]) ).
fof(f2360,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(necessarily(necessarily(implies(and(X0,X1),X1))))) ),
inference(resolution,[status(thm)],[f1920,f664]) ).
fof(f2361,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(necessarily(implies(equiv(X0,X1),implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f657,f1920]) ).
fof(f2363,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(implies(X1,implies(X2,X1)))),X0))) ),
inference(resolution,[status(thm)],[f1926,f2097]) ).
fof(f2364,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(and(necessarily(necessarily(implies(X1,implies(X2,X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1926,f698]) ).
fof(f2365,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| is_a_theorem(implies(X0,necessarily(necessarily(implies(X1,implies(X2,X1)))))) ),
inference(resolution,[status(thm)],[f1926,f1148]) ).
fof(f2366,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(necessarily(implies(X1,implies(X2,X1)))))) ),
inference(resolution,[status(thm)],[f1926,f1149]) ).
fof(f2367,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(necessarily(implies(X0,implies(X1,X0)))),X2)) ),
inference(resolution,[status(thm)],[f1926,f1150]) ).
fof(f2368,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(necessarily(necessarily(implies(X0,implies(X1,X0)))))) ),
inference(resolution,[status(thm)],[f1926,f664]) ).
fof(f2370,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(necessarily(implies(X0,or(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f1045,f1926]) ).
fof(f2373,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ119_spl
| is_a_theorem(implies(possibly(necessarily(not(X0))),necessarily(not(necessarily(possibly(X0)))))) ),
inference(paramodulation,[status(thm)],[f1110,f776]) ).
fof(f2374,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ119_spl
| is_a_theorem(implies(not(necessarily(possibly(X0))),necessarily(possibly(necessarily(not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1110,f776]) ).
fof(f2377,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ119_spl
| ~ sQ83_spl
| is_a_theorem(not(and(possibly(necessarily(not(X0))),possibly(necessarily(possibly(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1124,f2373]) ).
fof(f2378,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ119_spl
| ~ sQ83_spl
| is_a_theorem(not(and(not(necessarily(possibly(X0))),possibly(necessarily(possibly(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1110,f2377]) ).
fof(f2379,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ119_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(necessarily(possibly(X0)),necessarily(possibly(necessarily(not(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1045,f2374]) ).
fof(f2380,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ119_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(necessarily(possibly(X0)),necessarily(not(necessarily(possibly(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1110,f2379]) ).
fof(f2382,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(implies(X1,or(X2,X1)))),X0))) ),
inference(resolution,[status(thm)],[f1933,f2097]) ).
fof(f2383,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(and(necessarily(necessarily(implies(X1,or(X2,X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1933,f698]) ).
fof(f2384,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,necessarily(necessarily(implies(X1,or(X2,X1)))))) ),
inference(resolution,[status(thm)],[f1933,f1148]) ).
fof(f2385,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| is_a_theorem(or(X0,necessarily(necessarily(implies(X1,or(X2,X1)))))) ),
inference(resolution,[status(thm)],[f1933,f1149]) ).
fof(f2386,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(or(necessarily(necessarily(implies(X0,or(X1,X0)))),X2)) ),
inference(resolution,[status(thm)],[f1933,f1150]) ).
fof(f2387,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(necessarily(necessarily(implies(X0,or(X1,X0)))))) ),
inference(resolution,[status(thm)],[f1933,f664]) ).
fof(f2390,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(implies(X1,or(X1,X2)))),X0))) ),
inference(resolution,[status(thm)],[f1939,f2097]) ).
fof(f2391,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(and(necessarily(necessarily(implies(X1,or(X1,X2)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1939,f698]) ).
fof(f2392,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(necessarily(implies(X1,or(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1939,f1148]) ).
fof(f2393,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(necessarily(implies(X1,or(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1939,f1149]) ).
fof(f2394,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| is_a_theorem(or(necessarily(necessarily(implies(X0,or(X0,X1)))),X2)) ),
inference(resolution,[status(thm)],[f1939,f1150]) ).
fof(f2395,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(necessarily(necessarily(implies(X0,or(X0,X1)))))) ),
inference(resolution,[status(thm)],[f1939,f664]) ).
fof(f2398,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,strict_equiv(sK60_skl,sK61_skl))),X0))) ),
inference(resolution,[status(thm)],[f1945,f2097]) ).
fof(f2399,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(implies(X1,strict_equiv(sK60_skl,sK61_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1945,f698]) ).
fof(f2400,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1945,f1148]) ).
fof(f2401,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(implies(X1,strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1945,f1149]) ).
fof(f2402,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,strict_equiv(sK60_skl,sK61_skl))),X1)) ),
inference(resolution,[status(thm)],[f1945,f1150]) ).
fof(f2403,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(implies(X0,strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1945,f664]) ).
fof(f2404,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1945]) ).
fof(f2406,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,implies(necessarily(X2),X2))),X0))) ),
inference(resolution,[status(thm)],[f1952,f2097]) ).
fof(f2407,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(implies(X1,implies(necessarily(X2),X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1952,f698]) ).
fof(f2408,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1952,f1148]) ).
fof(f2409,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(implies(X1,implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1952,f1149]) ).
fof(f2410,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,implies(necessarily(X1),X1))),X2)) ),
inference(resolution,[status(thm)],[f1952,f1150]) ).
fof(f2411,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(implies(X0,implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1952,f664]) ).
fof(f2412,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,implies(necessarily(X1),X1)))) ),
inference(paramodulation,[status(thm)],[f1045,f1952]) ).
fof(f2415,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(X0),necessarily(implies(necessarily(X1),X1)))) ),
inference(paramodulation,[status(thm)],[f1134,f1221]) ).
fof(f2416,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(X0),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1222]) ).
fof(f2417,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(X0),implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1134,f1212]) ).
fof(f2418,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(X0),implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1134,f1213]) ).
fof(f2419,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(possibly(X0),implies(necessarily(X1),X1)))) ),
inference(paramodulation,[status(thm)],[f1134,f1900]) ).
fof(f2420,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(X0),implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1134,f1214]) ).
fof(f2422,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(X0),implies(X1,or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1134,f1219]) ).
fof(f2423,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(X0),implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1134,f1220]) ).
fof(f2426,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,implies(possibly(X1),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1134,f1892]) ).
fof(f2427,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(X0),not(X1)),implies(X1,necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1134,f1042]) ).
fof(f2428,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(possibly(X1),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1134,f1136]) ).
fof(f2433,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(possibly(X0),strict_equiv(sK60_skl,sK61_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1880]) ).
fof(f2434,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(X0),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1134,f1235]) ).
fof(f2435,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(necessarily(implies(necessarily(not(X0)),implies(possibly(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f1134,f1939]) ).
fof(f2436,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(necessarily(implies(X0,implies(possibly(X1),X0))))) ),
inference(paramodulation,[status(thm)],[f1134,f1933]) ).
fof(f2437,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(necessarily(not(X0)),X1),implies(implies(X2,X1),implies(implies(possibly(X0),X2),X1)))) ),
inference(paramodulation,[status(thm)],[f1134,f473]) ).
fof(f2439,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(necessarily(not(X1)),implies(possibly(X1),X2)))) ),
inference(paramodulation,[status(thm)],[f1134,f1169]) ).
fof(f2440,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(possibly(X2),X1)))) ),
inference(paramodulation,[status(thm)],[f1134,f1219]) ).
fof(f2441,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(necessarily(not(X1)),implies(possibly(X1),X2)))) ),
inference(paramodulation,[status(thm)],[f1134,f1220]) ).
fof(f2442,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(X0,implies(possibly(X1),X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1134,f1246]) ).
fof(f2443,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(necessarily(not(X0)),implies(possibly(X0),X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1134,f1247]) ).
fof(f2444,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(necessarily(not(X0)),implies(possibly(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f1134,f1126]) ).
fof(f2445,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(possibly(X1),X0)))) ),
inference(paramodulation,[status(thm)],[f1134,f1130]) ).
fof(f2446,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(implies(necessarily(not(X0)),implies(possibly(X0),X1))) ),
inference(paramodulation,[status(thm)],[f1134,f451]) ).
fof(f2447,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(X1),X0))) ),
inference(paramodulation,[status(thm)],[f1134,f462]) ).
fof(f2452,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(X0),not(X1)),not(and(X1,possibly(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1124,f2427]) ).
fof(f2457,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| or(X0,and(X1,not(X2))) = not(and(not(X0),implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f1045,f1123]) ).
fof(f2460,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(X1,not(X2))),implies(implies(X3,and(X1,not(X2))),not(and(or(X0,X3),implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f473]) ).
fof(f2461,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(necessarily(not(and(and(X0,and(X1,not(X2))),implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f1920]) ).
fof(f2462,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(necessarily(not(and(and(and(X0,not(X1)),X2),implies(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1123,f1914]) ).
fof(f2463,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,not(and(and(and(X1,not(X2)),X3),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1123,f1164]) ).
fof(f2464,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,not(and(and(X1,and(X2,not(X3))),implies(X2,X3))))) ),
inference(paramodulation,[status(thm)],[f1123,f1165]) ).
fof(f2465,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,not(and(and(and(X1,not(X2)),X3),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1123,f1212]) ).
fof(f2466,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,not(and(and(X1,and(X2,not(X3))),implies(X2,X3))))) ),
inference(paramodulation,[status(thm)],[f1123,f1213]) ).
fof(f2467,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(not(and(and(and(X0,not(X1)),X2),implies(X0,X1))),X3)) ),
inference(paramodulation,[status(thm)],[f1123,f1239]) ).
fof(f2468,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(not(and(and(X0,and(X1,not(X2))),implies(X1,X2))),X3)) ),
inference(paramodulation,[status(thm)],[f1123,f1240]) ).
fof(f2469,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(not(and(and(X0,and(X1,not(X2))),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1123,f1127]) ).
fof(f2470,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(not(and(and(and(X0,not(X1)),X2),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1123,f1131]) ).
fof(f2471,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ25_spl
| is_a_theorem(not(and(and(X0,and(X1,not(X2))),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1123,f429]) ).
fof(f2472,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| is_a_theorem(not(and(and(and(X0,not(X1)),X2),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1123,f418]) ).
fof(f2473,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(implies(X0,not(and(necessarily(and(X1,not(X2))),implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f1952]) ).
fof(f2474,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,not(and(necessarily(and(X1,not(X2))),implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f1900]) ).
fof(f2475,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(not(and(necessarily(and(X0,not(X1))),implies(X0,X1))),X2))) ),
inference(paramodulation,[status(thm)],[f1123,f1876]) ).
fof(f2476,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(not(and(necessarily(and(X1,not(X2))),implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f1170]) ).
fof(f2477,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(not(and(necessarily(and(X1,not(X2))),implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f1221]) ).
fof(f2478,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(not(and(necessarily(and(X0,not(X1))),implies(X0,X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f1123,f1248]) ).
fof(f2479,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(necessarily(not(and(necessarily(and(X0,not(X1))),implies(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1123,f1143]) ).
fof(f2480,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,not(and(necessarily(and(X1,not(X2))),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1123,f1166]) ).
fof(f2481,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,not(and(necessarily(and(X1,not(X2))),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1123,f1214]) ).
fof(f2482,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(not(and(necessarily(and(X0,not(X1))),implies(X0,X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1123,f1241]) ).
fof(f2483,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(not(and(necessarily(and(X0,not(X1))),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1123,f1119]) ).
fof(f2484,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ110_spl
| is_a_theorem(not(and(necessarily(and(X0,not(X1))),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1123,f743]) ).
fof(f2486,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,not(and(not(X1),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1123,f440]) ).
fof(f2487,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(necessarily(implies(and(X0,not(X1)),not(and(X2,implies(X0,X1))))))) ),
inference(paramodulation,[status(thm)],[f1123,f1926]) ).
fof(f2488,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(not(and(X0,implies(X1,X2)))),implies(necessarily(X0),necessarily(and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f732]) ).
fof(f2489,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),X2),implies(not(and(X2,implies(X0,X1))),equiv(and(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f1123,f506]) ).
fof(f2490,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(not(and(X0,implies(X1,X2))),implies(implies(and(X1,not(X2)),X0),equiv(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f506]) ).
fof(f2491,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,and(X2,not(X3))),not(and(X0,implies(X2,X3)))))) ),
inference(paramodulation,[status(thm)],[f1123,f407]) ).
fof(f2492,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,implies(X2,X3))),implies(X0,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f1123,f407]) ).
fof(f2493,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(not(and(X0,implies(X1,X2))),implies(implies(and(X1,not(X2)),X3),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f1123,f407]) ).
fof(f2494,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(X1,not(X2))),implies(not(and(X3,implies(X1,X2))),implies(or(X0,X3),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f473]) ).
fof(f2495,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(and(X0,implies(X1,X2))),implies(implies(X3,and(X1,not(X2))),implies(or(X0,X3),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f473]) ).
fof(f2496,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(and(X1,not(X2)),not(and(X3,implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f1167]) ).
fof(f2497,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,implies(X0,and(X1,not(X2)))),not(and(X0,implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1123,f396]) ).
fof(f2499,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(and(X0,not(X1)),X2),not(and(X2,implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1123,f495]) ).
fof(f2500,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(and(X0,not(X1)),not(X2)),not(and(X2,implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1123,f1042]) ).
fof(f2501,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1123,f484]) ).
fof(f2502,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(and(X1,not(X2)),not(and(X3,implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f1218]) ).
fof(f2503,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(and(X0,not(X1)),not(and(X2,implies(X0,X1)))),X3)) ),
inference(paramodulation,[status(thm)],[f1123,f1245]) ).
fof(f2504,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(and(X0,not(X1)),not(and(X2,implies(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1123,f1129]) ).
fof(f2505,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(and(X0,not(X1)),not(and(X2,implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1123,f385]) ).
fof(f2506,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(and(X1,not(X2)))
| ~ is_a_theorem(not(and(X0,implies(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(paramodulation,[status(thm)],[f1123,f340]) ).
fof(f2507,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| equiv(and(X0,not(X1)),X2) = and(implies(and(X0,not(X1)),X2),not(and(X2,implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1123,f657]) ).
fof(f2508,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| equiv(X0,and(X1,not(X2))) = and(not(and(X0,implies(X1,X2))),implies(and(X1,not(X2)),X0)) ),
inference(paramodulation,[status(thm)],[f1123,f657]) ).
fof(f2511,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(and(X0,implies(X1,X2))),implies(implies(X3,and(X1,not(X2))),not(and(or(X0,X3),implies(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1123,f2460]) ).
fof(f2512,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(implies(X3,and(X1,not(X2))),not(and(or(X0,X3),implies(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1045,f2511]) ).
fof(f2513,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(not(and(X3,implies(X1,X2))),not(and(or(X0,X3),implies(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1123,f2512]) ).
fof(f2514,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(and(X3,implies(X1,X2)),not(and(or(X0,X3),implies(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1045,f2513]) ).
fof(f2515,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ164_spl
| is_a_theorem(not(and(X0,possibly(and(necessarily(and(X1,not(X2))),implies(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1124,f2476]) ).
fof(f2516,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ164_spl
| ~ sQ79_spl
| is_a_theorem(implies(possibly(and(necessarily(and(X0,not(X1))),implies(X0,X1))),X2)) ),
inference(forward_demodulation,[status(thm)],[f1134,f2478]) ).
fof(f2518,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),X2),or(and(X2,implies(X0,X1)),equiv(and(X0,not(X1)),X2)))) ),
inference(forward_demodulation,[status(thm)],[f1045,f2489]) ).
fof(f2519,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(implies(and(X1,not(X2)),X0),equiv(X0,and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1045,f2490]) ).
fof(f2520,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,implies(X2,X3))),not(and(X0,implies(X2,X3)))))) ),
inference(forward_demodulation,[status(thm)],[f1123,f2491]) ).
fof(f2521,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(X0,X1),or(and(X1,implies(X2,X3)),not(and(X0,implies(X2,X3)))))) ),
inference(forward_demodulation,[status(thm)],[f1045,f2520]) ).
fof(f2524,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(implies(and(X1,not(X2)),X3),implies(X0,X3)))) ),
inference(forward_demodulation,[status(thm)],[f1045,f2493]) ).
fof(f2525,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(and(X0,implies(X1,X2))),implies(not(and(X3,implies(X1,X2))),implies(or(X0,X3),and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1123,f2494]) ).
fof(f2533,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,not(and(X0,implies(X1,X2)))),not(and(X0,implies(X1,X2))))) ),
inference(forward_demodulation,[status(thm)],[f1123,f2497]) ).
fof(f2535,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(implies(X0,X1),not(X2)),not(and(X2,implies(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f1133,f2500]) ).
fof(f2536,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(necessarily(implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f1151,f1248]) ).
fof(f2537,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1151,f1249]) ).
fof(f2538,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(and(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f1151,f1239]) ).
fof(f2539,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(and(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f1151,f1240]) ).
fof(f2540,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(necessarily(X0),X0))) ),
inference(resolution,[status(thm)],[f1151,f1241]) ).
fof(f2541,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(X0,implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1151,f1245]) ).
fof(f2542,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(X0,or(X1,X0)))) ),
inference(resolution,[status(thm)],[f1151,f1246]) ).
fof(f2543,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(X0,or(X0,X1)))) ),
inference(resolution,[status(thm)],[f1151,f1247]) ).
fof(f2544,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1151,f1262]) ).
fof(f2545,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(implies(necessarily(X1),X1)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1221]) ).
fof(f2546,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(strict_equiv(sK60_skl,sK61_skl)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1222]) ).
fof(f2558,definition,
! [X0] :
( sQ184_spl
<=> ~ is_a_theorem(not(necessarily(implies(necessarily(X0),X0)))) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f2559,plain,
! [X0] :
( ~ sQ184_spl
| ~ is_a_theorem(not(necessarily(implies(necessarily(X0),X0)))) ),
inference(component_clause,[status(thm)],[f2558]) ).
fof(f2561,definition,
! [X1] :
( sQ185_spl
<=> is_a_theorem(X1) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f2562,plain,
! [X0] :
( ~ sQ185_spl
| is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f2561]) ).
fof(f2564,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f2536,f2558,f2561,f642,f628,f339,f450,f742,f663]) ).
fof(f2565,definition,
( sQ186_spl
<=> is_a_theorem(not(necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f2567,plain,
( sQ186_spl
| ~ is_a_theorem(not(necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(component_clause,[status(thm)],[f2565]) ).
fof(f2568,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f2537,f2565,f2561,f642,f628,f339,f450,f663,f720]) ).
fof(f2569,definition,
! [X0,X1] :
( sQ187_spl
<=> ~ is_a_theorem(not(implies(and(X0,X1),X0))) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f2570,plain,
! [X0,X1] :
( ~ sQ187_spl
| ~ is_a_theorem(not(implies(and(X0,X1),X0))) ),
inference(component_clause,[status(thm)],[f2569]) ).
fof(f2572,plain,
( ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f2538,f2569,f2561,f642,f628,f339,f450,f417]) ).
fof(f2573,definition,
! [X0,X1] :
( sQ188_spl
<=> ~ is_a_theorem(not(implies(and(X0,X1),X1))) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f2574,plain,
! [X0,X1] :
( ~ sQ188_spl
| ~ is_a_theorem(not(implies(and(X0,X1),X1))) ),
inference(component_clause,[status(thm)],[f2573]) ).
fof(f2576,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f2539,f2573,f2561,f642,f628,f339,f450,f428]) ).
fof(f2577,definition,
! [X0] :
( sQ189_spl
<=> ~ is_a_theorem(not(implies(necessarily(X0),X0))) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f2578,plain,
! [X0] :
( ~ sQ189_spl
| ~ is_a_theorem(not(implies(necessarily(X0),X0))) ),
inference(component_clause,[status(thm)],[f2577]) ).
fof(f2580,plain,
( ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f2540,f2577,f2561,f642,f628,f339,f450,f742]) ).
fof(f2581,definition,
! [X0,X1] :
( sQ190_spl
<=> ~ is_a_theorem(not(implies(X0,implies(X1,X0)))) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f2582,plain,
! [X0,X1] :
( ~ sQ190_spl
| ~ is_a_theorem(not(implies(X0,implies(X1,X0)))) ),
inference(component_clause,[status(thm)],[f2581]) ).
fof(f2584,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f2541,f2581,f2561,f642,f628,f339,f450,f384]) ).
fof(f2585,definition,
! [X0,X1] :
( sQ191_spl
<=> ~ is_a_theorem(not(implies(X0,or(X1,X0)))) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f2586,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ is_a_theorem(not(implies(X0,or(X1,X0)))) ),
inference(component_clause,[status(thm)],[f2585]) ).
fof(f2588,plain,
( ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f2542,f2585,f2561,f642,f628,f339,f450,f461]) ).
fof(f2589,definition,
! [X0,X1] :
( sQ192_spl
<=> ~ is_a_theorem(not(implies(X0,or(X0,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f2590,plain,
! [X0,X1] :
( ~ sQ192_spl
| ~ is_a_theorem(not(implies(X0,or(X0,X1)))) ),
inference(component_clause,[status(thm)],[f2589]) ).
fof(f2592,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f2543,f2589,f2561,f642,f628,f339,f450]) ).
fof(f2593,definition,
( sQ193_spl
<=> is_a_theorem(not(strict_equiv(sK60_skl,sK61_skl))) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f2595,plain,
( sQ193_spl
| ~ is_a_theorem(not(strict_equiv(sK60_skl,sK61_skl))) ),
inference(component_clause,[status(thm)],[f2593]) ).
fof(f2596,plain,
( ~ sQ104_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f2544,f2593,f2561,f642,f628,f339,f450,f720]) ).
fof(f2597,definition,
! [X0] :
( sQ194_spl
<=> ~ is_a_theorem(not(X0)) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f2600,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ183_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f2545,f2597,f2262,f642,f628,f339,f461,f742,f663]) ).
fof(f2601,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ182_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f2546,f2597,f2250,f642,f628,f339,f461,f663,f720]) ).
fof(f2610,plain,
( sQ100_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f707,f2562]) ).
fof(f2611,plain,
( sQ94_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f684,f2562]) ).
fof(f2612,plain,
( sQ99_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f703,f2562]) ).
fof(f2613,plain,
( sQ147_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f880,f2562]) ).
fof(f2614,plain,
( sQ141_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f858,f2562]) ).
fof(f2615,plain,
( sQ138_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f847,f2562]) ).
fof(f2616,plain,
( sQ135_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f836,f2562]) ).
fof(f2617,plain,
( sQ144_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f869,f2562]) ).
fof(f2618,plain,
( sQ132_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f825,f2562]) ).
fof(f2619,plain,
( sQ150_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f891,f2562]) ).
fof(f2620,plain,
( sQ153_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f902,f2562]) ).
fof(f2621,plain,
( sQ126_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f803,f2562]) ).
fof(f2622,plain,
( sQ162_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f935,f2562]) ).
fof(f2623,plain,
( sQ159_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f924,f2562]) ).
fof(f2624,plain,
( sQ129_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f814,f2562]) ).
fof(f2625,plain,
( sQ156_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f913,f2562]) ).
fof(f2626,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ sQ185_spl
| X0 = X1 ),
inference(backward_subsumption_resolution,[status(thm)],[f359,f2562]) ).
fof(f2627,plain,
( sQ123_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f792,f2562]) ).
fof(f2628,plain,
( sQ114_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f759,f2562]) ).
fof(f2629,plain,
( sQ117_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f770,f2562]) ).
fof(f2630,plain,
( sQ77_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f623,f2562]) ).
fof(f2631,plain,
( sQ55_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1076,f2562]) ).
fof(f2632,plain,
( sQ74_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f612,f2562]) ).
fof(f2633,plain,
( sQ71_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f601,f2562]) ).
fof(f2634,plain,
( sQ66_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f582,f2562]) ).
fof(f2635,plain,
( sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1073,f2562]) ).
fof(f2636,plain,
( sQ50_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f522,f2562]) ).
fof(f2637,plain,
( sQ172_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1283,f2562]) ).
fof(f2638,plain,
! [X0,X1] :
( ~ sQ103_spl
| ~ sQ185_spl
| X0 = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f717,f2562]) ).
fof(f2639,plain,
( sQ104_spl
| ~ sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f722,f2562]) ).
fof(f2640,plain,
( sQ104_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2639]) ).
fof(f2641,plain,
( sQ100_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2610]) ).
fof(f2642,plain,
( sQ94_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2611]) ).
fof(f2643,plain,
( sQ99_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2612]) ).
fof(f2644,plain,
( sQ147_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2613]) ).
fof(f2645,plain,
( sQ141_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2614]) ).
fof(f2646,plain,
( sQ138_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2615]) ).
fof(f2647,plain,
( sQ135_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2616]) ).
fof(f2652,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ177_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(paramodulation,[status(thm)],[f1045,f1764]) ).
fof(f2653,plain,
! [X0] :
( ~ sQ177_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(implies(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f664,f1764]) ).
fof(f2654,plain,
! [X0] :
( ~ sQ180_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(or(sK58_skl,X0))) ),
inference(resolution,[status(thm)],[f664,f1856]) ).
fof(f2655,plain,
! [X0] :
( ~ sQ175_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(or(sK57_skl,X0))) ),
inference(resolution,[status(thm)],[f664,f1743]) ).
fof(f2656,plain,
! [X0] :
( ~ sQ178_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(or(sK59_skl,X0))) ),
inference(resolution,[status(thm)],[f664,f1815]) ).
fof(f2657,plain,
! [X0] :
( ~ sQ181_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(or(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f664,f1866]) ).
fof(f2658,plain,
! [X0] :
( ~ sQ176_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(or(X0,sK57_skl))) ),
inference(resolution,[status(thm)],[f664,f1753]) ).
fof(f2659,plain,
! [X0] :
( ~ sQ179_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(or(X0,sK59_skl))) ),
inference(resolution,[status(thm)],[f664,f1825]) ).
fof(f2662,plain,
( ~ sQ173_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f664,f1561]) ).
fof(f2663,plain,
( ~ sQ174_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f664,f1677]) ).
fof(f2671,plain,
( ~ sQ173_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(sK57_skl) ),
inference(resolution,[status(thm)],[f1147,f1561]) ).
fof(f2672,plain,
( ~ sQ174_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(sK59_skl) ),
inference(resolution,[status(thm)],[f1147,f1677]) ).
fof(f2676,plain,
! [X0] :
( ~ sQ174_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(sK59_skl,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f2672]) ).
fof(f2677,plain,
! [X0] :
( ~ sQ173_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(sK57_skl,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f2671]) ).
fof(f2679,plain,
! [X0,X1] :
( ~ sQ177_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,sK58_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1764]) ).
fof(f2680,plain,
! [X0,X1] :
( ~ sQ180_spl
| ~ sQ98_spl
| is_a_theorem(and(or(sK58_skl,X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1856]) ).
fof(f2681,plain,
! [X0,X1] :
( ~ sQ175_spl
| ~ sQ98_spl
| is_a_theorem(and(or(sK57_skl,X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1743]) ).
fof(f2682,plain,
! [X0,X1] :
( ~ sQ178_spl
| ~ sQ98_spl
| is_a_theorem(and(or(sK59_skl,X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1815]) ).
fof(f2683,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,sK58_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1866]) ).
fof(f2684,plain,
! [X0,X1] :
( ~ sQ176_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,sK57_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1753]) ).
fof(f2685,plain,
! [X0,X1] :
( ~ sQ179_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,sK59_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1825]) ).
fof(f2686,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(necessarily(sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1568]) ).
fof(f2688,plain,
! [X0] :
( ~ sQ173_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK57_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1561]) ).
fof(f2689,plain,
! [X0] :
( ~ sQ174_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK59_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1677]) ).
fof(f2692,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ173_spl
| ~ sQ89_spl
| is_a_theorem(and(necessarily(necessarily(sK57_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2662,f698]) ).
fof(f2693,plain,
( ~ sQ89_spl
| ~ sQ173_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f2662,f664]) ).
fof(f2695,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ174_spl
| ~ sQ89_spl
| is_a_theorem(and(necessarily(necessarily(sK59_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2663,f698]) ).
fof(f2696,plain,
( ~ sQ89_spl
| ~ sQ174_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f2663,f664]) ).
fof(f2697,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(implies(X1,necessarily(sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1565,f698]) ).
fof(f2699,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1565]) ).
fof(f2700,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(or(X1,necessarily(sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1566,f698]) ).
fof(f2702,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(or(necessarily(sK58_skl),X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1567,f698]) ).
fof(f2704,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f1579,f1147]) ).
fof(f2705,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(implies(X1,sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1579,f698]) ).
fof(f2708,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f1645,f1147]) ).
fof(f2709,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(or(X1,sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1645,f698]) ).
fof(f2710,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(or(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1645,f664]) ).
fof(f2711,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(or(sK58_skl,X0)) ),
inference(resolution,[status(thm)],[f1599,f1147]) ).
fof(f2712,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(or(sK58_skl,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1599,f698]) ).
fof(f2713,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(or(sK58_skl,X0)))) ),
inference(resolution,[status(thm)],[f1599,f664]) ).
fof(f2716,plain,
! [X0] :
( ~ sQ177_spl
| ~ sQ1_spl
| is_a_theorem(sK58_skl)
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f340,f1764]) ).
fof(f2719,plain,
( ~ sQ177_spl
| ~ sQ1_spl
| sQ99_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f2716,f1189,f701,f339,f1763]) ).
fof(f2733,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,sK59_skl)) ),
inference(paramodulation,[status(thm)],[f1045,f1182]) ).
fof(f2737,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,sK57_skl)) ),
inference(paramodulation,[status(thm)],[f1045,f1181]) ).
fof(f2740,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(necessarily(strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f721,f664]) ).
fof(f2747,plain,
! [X0] :
( ~ sQ174_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,sK59_skl)) ),
inference(resolution,[status(thm)],[f1148,f2672]) ).
fof(f2748,plain,
! [X0] :
( ~ sQ173_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,sK57_skl)) ),
inference(resolution,[status(thm)],[f1148,f2671]) ).
fof(f2755,plain,
! [X0,X1] :
( ~ sQ177_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1148,f1764]) ).
fof(f2757,plain,
! [X0,X1] :
( ~ sQ180_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f1148,f1856]) ).
fof(f2758,plain,
! [X0,X1] :
( ~ sQ175_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,or(sK57_skl,X1))) ),
inference(resolution,[status(thm)],[f1148,f1743]) ).
fof(f2759,plain,
! [X0,X1] :
( ~ sQ178_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f1148,f1815]) ).
fof(f2761,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,or(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1148,f1866]) ).
fof(f2762,plain,
! [X0,X1] :
( ~ sQ176_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,or(X1,sK57_skl))) ),
inference(resolution,[status(thm)],[f1148,f1753]) ).
fof(f2763,plain,
! [X0,X1] :
( ~ sQ179_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f1148,f1825]) ).
fof(f2764,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,necessarily(or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1148,f1599]) ).
fof(f2765,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,necessarily(or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1148,f1645]) ).
fof(f2767,plain,
! [X0] :
( ~ sQ174_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1148,f2663]) ).
fof(f2768,plain,
! [X0] :
( ~ sQ173_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1148,f2662]) ).
fof(f2771,plain,
! [X0] :
( ~ sQ173_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1148,f1561]) ).
fof(f2772,plain,
! [X0] :
( ~ sQ174_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1148,f1677]) ).
fof(f2773,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f1148,f1564]) ).
fof(f2776,plain,
! [X0] :
( ~ sQ174_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,sK59_skl)) ),
inference(resolution,[status(thm)],[f1149,f2672]) ).
fof(f2777,plain,
! [X0] :
( ~ sQ173_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,sK57_skl)) ),
inference(resolution,[status(thm)],[f1149,f2671]) ).
fof(f2784,plain,
! [X0,X1] :
( ~ sQ177_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1149,f1764]) ).
fof(f2786,plain,
! [X0,X1] :
( ~ sQ180_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f1149,f1856]) ).
fof(f2787,plain,
! [X0,X1] :
( ~ sQ175_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,or(sK57_skl,X1))) ),
inference(resolution,[status(thm)],[f1149,f1743]) ).
fof(f2788,plain,
! [X0,X1] :
( ~ sQ178_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f1149,f1815]) ).
fof(f2790,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,or(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1149,f1866]) ).
fof(f2791,plain,
! [X0,X1] :
( ~ sQ176_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,or(X1,sK57_skl))) ),
inference(resolution,[status(thm)],[f1149,f1753]) ).
fof(f2792,plain,
! [X0,X1] :
( ~ sQ179_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f1149,f1825]) ).
fof(f2793,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,necessarily(or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1149,f1599]) ).
fof(f2794,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,necessarily(or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1149,f1645]) ).
fof(f2796,plain,
! [X0] :
( ~ sQ174_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1149,f2663]) ).
fof(f2797,plain,
! [X0] :
( ~ sQ173_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1149,f2662]) ).
fof(f2800,plain,
! [X0] :
( ~ sQ173_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1149,f1561]) ).
fof(f2801,plain,
! [X0] :
( ~ sQ174_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1149,f1677]) ).
fof(f2802,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f1149,f1564]) ).
fof(f2805,plain,
! [X0] :
( ~ sQ174_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(sK59_skl,X0)) ),
inference(resolution,[status(thm)],[f1150,f2672]) ).
fof(f2806,plain,
! [X0] :
( ~ sQ173_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(sK57_skl,X0)) ),
inference(resolution,[status(thm)],[f1150,f2671]) ).
fof(f2813,plain,
! [X0,X1] :
( ~ sQ177_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(X0,sK58_skl),X1)) ),
inference(resolution,[status(thm)],[f1150,f1764]) ).
fof(f2815,plain,
! [X0,X1] :
( ~ sQ180_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(or(sK58_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f1150,f1856]) ).
fof(f2816,plain,
! [X0,X1] :
( ~ sQ175_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(or(sK57_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f1150,f1743]) ).
fof(f2817,plain,
! [X0,X1] :
( ~ sQ178_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(or(sK59_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f1150,f1815]) ).
fof(f2819,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(or(X0,sK58_skl),X1)) ),
inference(resolution,[status(thm)],[f1150,f1866]) ).
fof(f2820,plain,
! [X0,X1] :
( ~ sQ176_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(or(X0,sK57_skl),X1)) ),
inference(resolution,[status(thm)],[f1150,f1753]) ).
fof(f2821,plain,
! [X0,X1] :
( ~ sQ179_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(or(X0,sK59_skl),X1)) ),
inference(resolution,[status(thm)],[f1150,f1825]) ).
fof(f2822,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(necessarily(or(sK58_skl,X0)),X1)) ),
inference(resolution,[status(thm)],[f1150,f1599]) ).
fof(f2823,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ31_spl
| is_a_theorem(or(necessarily(or(X0,sK58_skl)),X1)) ),
inference(resolution,[status(thm)],[f1150,f1645]) ).
fof(f2825,plain,
! [X0] :
( ~ sQ174_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(necessarily(sK59_skl)),X0)) ),
inference(resolution,[status(thm)],[f1150,f2663]) ).
fof(f2826,plain,
! [X0] :
( ~ sQ173_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(necessarily(sK57_skl)),X0)) ),
inference(resolution,[status(thm)],[f1150,f2662]) ).
fof(f2829,plain,
! [X0] :
( ~ sQ173_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(sK57_skl),X0)) ),
inference(resolution,[status(thm)],[f1150,f1561]) ).
fof(f2830,plain,
! [X0] :
( ~ sQ174_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(sK59_skl),X0)) ),
inference(resolution,[status(thm)],[f1150,f1677]) ).
fof(f2831,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| is_a_theorem(or(sK58_skl,X0)) ),
inference(resolution,[status(thm)],[f1150,f1564]) ).
fof(f2846,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f657,f429]) ).
fof(f2852,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f657,f418]) ).
fof(f2871,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1045,f385]) ).
fof(f2883,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ175_spl
| ~ sQ89_spl
| is_a_theorem(or(necessarily(or(sK57_skl,X0)),X1)) ),
inference(resolution,[status(thm)],[f2655,f1150]) ).
fof(f2884,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ175_spl
| ~ sQ89_spl
| is_a_theorem(or(X0,necessarily(or(sK57_skl,X1)))) ),
inference(resolution,[status(thm)],[f2655,f1149]) ).
fof(f2885,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ175_spl
| ~ sQ89_spl
| is_a_theorem(implies(X0,necessarily(or(sK57_skl,X1)))) ),
inference(resolution,[status(thm)],[f2655,f1148]) ).
fof(f2886,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ175_spl
| is_a_theorem(necessarily(necessarily(or(sK57_skl,X0)))) ),
inference(resolution,[status(thm)],[f2655,f664]) ).
fof(f2888,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ178_spl
| ~ sQ89_spl
| is_a_theorem(or(necessarily(or(sK59_skl,X0)),X1)) ),
inference(resolution,[status(thm)],[f2656,f1150]) ).
fof(f2889,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ178_spl
| ~ sQ89_spl
| is_a_theorem(or(X0,necessarily(or(sK59_skl,X1)))) ),
inference(resolution,[status(thm)],[f2656,f1149]) ).
fof(f2890,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ178_spl
| ~ sQ89_spl
| is_a_theorem(implies(X0,necessarily(or(sK59_skl,X1)))) ),
inference(resolution,[status(thm)],[f2656,f1148]) ).
fof(f2891,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ178_spl
| is_a_theorem(necessarily(necessarily(or(sK59_skl,X0)))) ),
inference(resolution,[status(thm)],[f2656,f664]) ).
fof(f2893,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ176_spl
| ~ sQ89_spl
| is_a_theorem(or(necessarily(or(X0,sK57_skl)),X1)) ),
inference(resolution,[status(thm)],[f2658,f1150]) ).
fof(f2894,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ176_spl
| ~ sQ89_spl
| is_a_theorem(or(X0,necessarily(or(X1,sK57_skl)))) ),
inference(resolution,[status(thm)],[f2658,f1149]) ).
fof(f2895,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ176_spl
| ~ sQ89_spl
| is_a_theorem(implies(X0,necessarily(or(X1,sK57_skl)))) ),
inference(resolution,[status(thm)],[f2658,f1148]) ).
fof(f2896,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ176_spl
| is_a_theorem(necessarily(necessarily(or(X0,sK57_skl)))) ),
inference(resolution,[status(thm)],[f2658,f664]) ).
fof(f2898,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ179_spl
| ~ sQ89_spl
| is_a_theorem(or(necessarily(or(X0,sK59_skl)),X1)) ),
inference(resolution,[status(thm)],[f2659,f1150]) ).
fof(f2899,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ179_spl
| ~ sQ89_spl
| is_a_theorem(or(X0,necessarily(or(X1,sK59_skl)))) ),
inference(resolution,[status(thm)],[f2659,f1149]) ).
fof(f2900,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ179_spl
| ~ sQ89_spl
| is_a_theorem(implies(X0,necessarily(or(X1,sK59_skl)))) ),
inference(resolution,[status(thm)],[f2659,f1148]) ).
fof(f2901,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ179_spl
| is_a_theorem(necessarily(necessarily(or(X0,sK59_skl)))) ),
inference(resolution,[status(thm)],[f2659,f664]) ).
fof(f2906,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ119_spl
| is_a_theorem(necessarily(possibly(X0)))
| ~ is_a_theorem(possibly(X0)) ),
inference(resolution,[status(thm)],[f776,f340]) ).
fof(f2920,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1195]) ).
fof(f2926,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1178]) ).
fof(f2949,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(or(X0,sK57_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1187]) ).
fof(f2955,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,necessarily(sK57_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1179]) ).
fof(f2957,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ182_spl
| is_a_theorem(strict_equiv(sK60_skl,sK61_skl)) ),
inference(resolution,[status(thm)],[f2251,f1147]) ).
fof(f2958,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ182_spl
| is_a_theorem(or(necessarily(strict_equiv(sK60_skl,sK61_skl)),X0)) ),
inference(resolution,[status(thm)],[f2251,f1150]) ).
fof(f2959,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ182_spl
| is_a_theorem(or(X0,necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f2251,f1149]) ).
fof(f2960,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ182_spl
| is_a_theorem(implies(X0,necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f2251,f1148]) ).
fof(f2961,plain,
( ~ sQ89_spl
| ~ sQ182_spl
| is_a_theorem(necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f2251,f664]) ).
fof(f2967,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1576]) ).
fof(f2975,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ43_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(resolution,[status(thm)],[f495,f340]) ).
fof(f2976,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ43_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f495,f1150]) ).
fof(f2977,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ43_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f495,f1149]) ).
fof(f2979,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f495,f664]) ).
fof(f2986,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(or(X0,sK58_skl),X1),X2)) ),
inference(resolution,[status(thm)],[f1776,f1150]) ).
fof(f2987,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(or(X1,sK58_skl),X2))) ),
inference(resolution,[status(thm)],[f1776,f1149]) ).
fof(f2988,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(or(X1,sK58_skl),X2))) ),
inference(resolution,[status(thm)],[f1776,f1148]) ).
fof(f2989,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(or(X0,sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f1776,f664]) ).
fof(f2990,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,or(X1,sK58_skl)),X2)) ),
inference(resolution,[status(thm)],[f1771,f1150]) ).
fof(f2991,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,or(X2,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1771,f1149]) ).
fof(f2992,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,or(X2,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1771,f1148]) ).
fof(f2993,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1771,f664]) ).
fof(f2994,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X1,sK58_skl))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1762,f340]) ).
fof(f2995,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X0,or(X1,sK58_skl)),X2)) ),
inference(resolution,[status(thm)],[f1762,f1150]) ).
fof(f2996,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,or(X2,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1762,f1149]) ).
fof(f2997,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1762,f1148]) ).
fof(f2998,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X0,or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1762,f664]) ).
fof(f2999,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1762]) ).
fof(f3000,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| sQ181_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f2994,f1189,f1865,f1281,f742,f384,f642,f628,f339]) ).
fof(f3002,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(or(necessarily(necessarily(necessarily(sK58_skl))),X0)) ),
inference(resolution,[status(thm)],[f1619,f1150]) ).
fof(f3003,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1619,f1149]) ).
fof(f3004,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,necessarily(necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1619,f1148]) ).
fof(f3005,plain,
( ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1619,f664]) ).
fof(f3006,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(resolution,[status(thm)],[f484,f340]) ).
fof(f3007,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f484,f1150]) ).
fof(f3008,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f484,f1149]) ).
fof(f3010,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f484,f664]) ).
fof(f3012,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(or(sK58_skl,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f1598,f1150]) ).
fof(f3013,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(or(sK58_skl,X1),X2))) ),
inference(resolution,[status(thm)],[f1598,f1149]) ).
fof(f3014,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(or(sK58_skl,X1),X2))) ),
inference(resolution,[status(thm)],[f1598,f1148]) ).
fof(f3015,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(or(sK58_skl,X0),X1))) ),
inference(resolution,[status(thm)],[f1598,f664]) ).
fof(f3016,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,or(sK58_skl,X1)),X2)) ),
inference(resolution,[status(thm)],[f1597,f1150]) ).
fof(f3017,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,or(sK58_skl,X2)))) ),
inference(resolution,[status(thm)],[f1597,f1149]) ).
fof(f3018,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,or(sK58_skl,X2)))) ),
inference(resolution,[status(thm)],[f1597,f1148]) ).
fof(f3019,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1597,f664]) ).
fof(f3020,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(sK58_skl,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1596,f340]) ).
fof(f3021,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X0,or(sK58_skl,X1)),X2)) ),
inference(resolution,[status(thm)],[f1596,f1150]) ).
fof(f3022,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,or(sK58_skl,X2)))) ),
inference(resolution,[status(thm)],[f1596,f1149]) ).
fof(f3023,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,implies(X1,or(sK58_skl,X2)))) ),
inference(resolution,[status(thm)],[f1596,f1148]) ).
fof(f3024,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X0,or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1596,f664]) ).
fof(f3025,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(sK58_skl,X1))) ),
inference(paramodulation,[status(thm)],[f1045,f1596]) ).
fof(f3026,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| sQ180_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3020,f1189,f1855,f1281,f742,f450,f384,f339]) ).
fof(f3039,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ173_spl
| is_a_theorem(or(necessarily(necessarily(necessarily(sK57_skl))),X0)) ),
inference(resolution,[status(thm)],[f2693,f1150]) ).
fof(f3040,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ173_spl
| is_a_theorem(or(X0,necessarily(necessarily(necessarily(sK57_skl))))) ),
inference(resolution,[status(thm)],[f2693,f1149]) ).
fof(f3041,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ173_spl
| is_a_theorem(implies(X0,necessarily(necessarily(necessarily(sK57_skl))))) ),
inference(resolution,[status(thm)],[f2693,f1148]) ).
fof(f3042,plain,
( ~ sQ89_spl
| ~ sQ173_spl
| is_a_theorem(necessarily(necessarily(necessarily(necessarily(sK57_skl))))) ),
inference(resolution,[status(thm)],[f2693,f664]) ).
fof(f3044,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ174_spl
| is_a_theorem(or(necessarily(necessarily(necessarily(sK59_skl))),X0)) ),
inference(resolution,[status(thm)],[f2696,f1150]) ).
fof(f3045,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ174_spl
| is_a_theorem(or(X0,necessarily(necessarily(necessarily(sK59_skl))))) ),
inference(resolution,[status(thm)],[f2696,f1149]) ).
fof(f3046,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ174_spl
| is_a_theorem(implies(X0,necessarily(necessarily(necessarily(sK59_skl))))) ),
inference(resolution,[status(thm)],[f2696,f1148]) ).
fof(f3047,plain,
( ~ sQ89_spl
| ~ sQ174_spl
| is_a_theorem(necessarily(necessarily(necessarily(necessarily(sK59_skl))))) ),
inference(resolution,[status(thm)],[f2696,f664]) ).
fof(f3060,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f657,f440]) ).
fof(f3061,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ100_spl
| is_a_theorem(implies(X1,sK59_skl))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1194,f340]) ).
fof(f3062,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ100_spl
| is_a_theorem(or(implies(X0,implies(X1,sK59_skl)),X2)) ),
inference(resolution,[status(thm)],[f1194,f1150]) ).
fof(f3063,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ100_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1194,f1149]) ).
fof(f3064,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1194,f1148]) ).
fof(f3065,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1194,f664]) ).
fof(f3066,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ100_spl
| is_a_theorem(or(X0,implies(X1,sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1194]) ).
fof(f3068,definition,
! [X1] :
( sQ195_spl
<=> is_a_theorem(implies(X1,sK59_skl)) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f3069,plain,
! [X0] :
( ~ sQ195_spl
| is_a_theorem(implies(X0,sK59_skl)) ),
inference(component_clause,[status(thm)],[f3068]) ).
fof(f3071,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ100_spl
| sQ195_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3061,f1189,f3068,f705,f384,f339]) ).
fof(f3072,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ94_spl
| is_a_theorem(implies(X1,sK57_skl))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1186,f340]) ).
fof(f3073,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ94_spl
| is_a_theorem(or(implies(X0,implies(X1,sK57_skl)),X2)) ),
inference(resolution,[status(thm)],[f1186,f1150]) ).
fof(f3074,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ94_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1186,f1149]) ).
fof(f3075,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1186,f1148]) ).
fof(f3076,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1186,f664]) ).
fof(f3077,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ94_spl
| is_a_theorem(or(X0,implies(X1,sK57_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f1186]) ).
fof(f3079,definition,
! [X1] :
( sQ196_spl
<=> is_a_theorem(implies(X1,sK57_skl)) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f3080,plain,
! [X0] :
( ~ sQ196_spl
| is_a_theorem(implies(X0,sK57_skl)) ),
inference(component_clause,[status(thm)],[f3079]) ).
fof(f3082,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ94_spl
| sQ196_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3072,f1189,f3079,f682,f384,f339]) ).
fof(f3083,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1574,f484]) ).
fof(f3084,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1574,f495]) ).
fof(f3085,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(or(X0,not(X1)),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1574,f1042]) ).
fof(f3086,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(possibly(X0),necessarily(possibly(X0))))) ),
inference(resolution,[status(thm)],[f1574,f776]) ).
fof(f3087,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(and(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f1574,f418]) ).
fof(f3088,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(and(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f1574,f429]) ).
fof(f3089,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(implies(X0,implies(X0,X1)),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1574,f396]) ).
fof(f3090,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))) ),
inference(resolution,[status(thm)],[f1574,f473]) ).
fof(f3091,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f1574,f407]) ).
fof(f3092,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) ),
inference(resolution,[status(thm)],[f1574,f506]) ).
fof(f3093,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))) ),
inference(resolution,[status(thm)],[f1574,f732]) ).
fof(f3094,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(necessarily(X0),X0))) ),
inference(resolution,[status(thm)],[f1574,f743]) ).
fof(f3095,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(X0,implies(X1,and(X0,X1))))) ),
inference(resolution,[status(thm)],[f1574,f440]) ).
fof(f3096,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(sK58_skl,implies(X0,implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1574,f1576]) ).
fof(f3097,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(X0,implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1574,f385]) ).
fof(f3098,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(sK58_skl,implies(X0,or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1574,f1596]) ).
fof(f3099,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(sK58_skl,implies(X0,or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1574,f1762]) ).
fof(f3100,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(X0,or(X1,X0)))) ),
inference(resolution,[status(thm)],[f1574,f462]) ).
fof(f3101,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(X0,or(X0,X1)))) ),
inference(resolution,[status(thm)],[f1574,f451]) ).
fof(f3102,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(and(sK58_skl,implies(X0,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1574,f1565]) ).
fof(f3103,plain,
! [X0] :
( ~ sQ177_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f1574,f1764]) ).
fof(f3104,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(sK58_skl,or(or(sK58_skl,X0),X1))) ),
inference(resolution,[status(thm)],[f1574,f1598]) ).
fof(f3105,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(sK58_skl,or(or(X0,sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f1574,f1776]) ).
fof(f3106,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(sK58_skl,or(implies(X0,sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f1574,f1578]) ).
fof(f3107,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(and(sK58_skl,or(necessarily(sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f1574,f1567]) ).
fof(f3108,plain,
! [X0] :
( ~ sQ180_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,or(sK58_skl,X0))) ),
inference(resolution,[status(thm)],[f1574,f1856]) ).
fof(f3109,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(sK58_skl,or(X0,or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1574,f1597]) ).
fof(f3110,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(sK58_skl,or(X0,or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1574,f1771]) ).
fof(f3111,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(sK58_skl,or(X0,implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1574,f1577]) ).
fof(f3112,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(and(sK58_skl,or(X0,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1574,f1566]) ).
fof(f3113,plain,
! [X0] :
( ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,or(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f1574,f1866]) ).
fof(f3114,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(sK58_skl,necessarily(or(sK58_skl,X0)))) ),
inference(resolution,[status(thm)],[f1574,f1599]) ).
fof(f3115,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(sK58_skl,necessarily(or(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1574,f1645]) ).
fof(f3116,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,necessarily(implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f1574,f1119]) ).
fof(f3117,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(sK58_skl,necessarily(implies(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1574,f1579]) ).
fof(f3118,plain,
( ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(sK58_skl,necessarily(necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1574,f1619]) ).
fof(f3119,plain,
( ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(sK58_skl,necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1574,f1568]) ).
fof(f3120,plain,
( ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(sK58_skl,necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1574,f1282]) ).
fof(f3121,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(sK58_skl,sK58_skl)) ),
inference(resolution,[status(thm)],[f1574,f1564]) ).
fof(f3124,plain,
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,and(sK58_skl,sK58_skl))) ),
inference(resolution,[status(thm)],[f3121,f1574]) ).
fof(f3125,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(and(sK58_skl,sK58_skl),X0)) ),
inference(resolution,[status(thm)],[f3121,f1150]) ).
fof(f3126,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(X0,and(sK58_skl,sK58_skl))) ),
inference(resolution,[status(thm)],[f3121,f1149]) ).
fof(f3127,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,and(sK58_skl,sK58_skl))) ),
inference(resolution,[status(thm)],[f3121,f1148]) ).
fof(f3128,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(necessarily(and(sK58_skl,sK58_skl))) ),
inference(resolution,[status(thm)],[f3121,f664]) ).
fof(f3131,plain,
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,and(sK58_skl,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f3120,f1574]) ).
fof(f3132,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(or(and(sK58_skl,necessarily(sK58_skl)),X0)) ),
inference(resolution,[status(thm)],[f3120,f1150]) ).
fof(f3133,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(or(X0,and(sK58_skl,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f3120,f1149]) ).
fof(f3134,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(implies(X0,and(sK58_skl,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f3120,f1148]) ).
fof(f3135,plain,
( ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(and(sK58_skl,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f3120,f664]) ).
fof(f3137,plain,
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| is_a_theorem(and(sK58_skl,necessarily(and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3128,f1574]) ).
fof(f3138,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(necessarily(and(sK58_skl,sK58_skl)),X0)) ),
inference(resolution,[status(thm)],[f3128,f1150]) ).
fof(f3139,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(X0,necessarily(and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3128,f1149]) ).
fof(f3140,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,necessarily(and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3128,f1148]) ).
fof(f3141,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(necessarily(necessarily(and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3128,f664]) ).
fof(f3143,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,necessarily(or(X0,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1635,f1574]) ).
fof(f3144,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(or(necessarily(or(X0,necessarily(sK58_skl))),X1)) ),
inference(resolution,[status(thm)],[f1635,f1150]) ).
fof(f3145,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(or(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1635,f1149]) ).
fof(f3146,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,necessarily(or(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1635,f1148]) ).
fof(f3147,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(or(X0,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1635,f664]) ).
fof(f3149,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,necessarily(or(necessarily(sK58_skl),X0)))) ),
inference(resolution,[status(thm)],[f1639,f1574]) ).
fof(f3150,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(or(necessarily(or(necessarily(sK58_skl),X0)),X1)) ),
inference(resolution,[status(thm)],[f1639,f1150]) ).
fof(f3151,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(or(necessarily(sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f1639,f1149]) ).
fof(f3152,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,necessarily(or(necessarily(sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f1639,f1148]) ).
fof(f3153,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(or(necessarily(sK58_skl),X0)))) ),
inference(resolution,[status(thm)],[f1639,f664]) ).
fof(f3155,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,necessarily(necessarily(implies(X0,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1644,f1574]) ).
fof(f3156,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(necessarily(necessarily(implies(X0,sK58_skl))),X1)) ),
inference(resolution,[status(thm)],[f1644,f1150]) ).
fof(f3157,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(necessarily(implies(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1644,f1149]) ).
fof(f3158,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,necessarily(necessarily(implies(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1644,f1148]) ).
fof(f3159,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(necessarily(implies(X0,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1644,f664]) ).
fof(f3160,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(or(X0,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1644]) ).
fof(f3162,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,necessarily(implies(X0,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1629,f1574]) ).
fof(f3163,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(or(necessarily(implies(X0,necessarily(sK58_skl))),X1)) ),
inference(resolution,[status(thm)],[f1629,f1150]) ).
fof(f3164,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(implies(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1629,f1149]) ).
fof(f3165,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1629,f1148]) ).
fof(f3166,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(implies(X0,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1629,f664]) ).
fof(f3167,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,necessarily(sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1629]) ).
fof(f3168,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ89_spl
| is_a_theorem(and(sK58_skl,or(necessarily(necessarily(sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f1618,f1574]) ).
fof(f3169,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(or(or(necessarily(necessarily(sK58_skl)),X0),X1)) ),
inference(resolution,[status(thm)],[f1618,f1150]) ).
fof(f3170,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(necessarily(necessarily(sK58_skl)),X1))) ),
inference(resolution,[status(thm)],[f1618,f1149]) ).
fof(f3171,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(necessarily(necessarily(sK58_skl)),X1))) ),
inference(resolution,[status(thm)],[f1618,f1148]) ).
fof(f3172,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(necessarily(necessarily(sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f1618,f664]) ).
fof(f3173,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ89_spl
| is_a_theorem(and(sK58_skl,or(X0,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1617,f1574]) ).
fof(f3174,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,necessarily(necessarily(sK58_skl))),X1)) ),
inference(resolution,[status(thm)],[f1617,f1150]) ).
fof(f3175,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1617,f1149]) ).
fof(f3176,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1617,f1148]) ).
fof(f3177,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1617,f664]) ).
fof(f3178,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(sK58_skl)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1616,f340]) ).
fof(f3179,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ89_spl
| is_a_theorem(and(sK58_skl,implies(X0,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1616,f1574]) ).
fof(f3180,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X0,necessarily(necessarily(sK58_skl))),X1)) ),
inference(resolution,[status(thm)],[f1616,f1150]) ).
fof(f3181,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1616,f1149]) ).
fof(f3182,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1616,f1148]) ).
fof(f3183,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X0,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1616,f664]) ).
fof(f3184,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(necessarily(sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1616]) ).
fof(f3185,definition,
( sQ197_spl
<=> is_a_theorem(necessarily(necessarily(sK58_skl))) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f3186,plain,
( ~ sQ197_spl
| is_a_theorem(necessarily(necessarily(sK58_skl))) ),
inference(component_clause,[status(thm)],[f3185]) ).
fof(f3188,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ172_spl
| sQ197_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3178,f1189,f3185,f1281,f663,f384,f339]) ).
fof(f3189,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(sK58_skl,X0))) ),
inference(resolution,[status(thm)],[f1684,f1147]) ).
fof(f3190,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,necessarily(necessarily(or(sK58_skl,X0))))) ),
inference(resolution,[status(thm)],[f1684,f1574]) ).
fof(f3191,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(necessarily(necessarily(or(sK58_skl,X0))),X1)) ),
inference(resolution,[status(thm)],[f1684,f1150]) ).
fof(f3192,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(necessarily(or(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f1684,f1149]) ).
fof(f3193,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(necessarily(or(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f1684,f1148]) ).
fof(f3194,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(necessarily(or(sK58_skl,X0))))) ),
inference(resolution,[status(thm)],[f1684,f664]) ).
fof(f3195,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f1689,f1147]) ).
fof(f3196,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,necessarily(necessarily(or(X0,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1689,f1574]) ).
fof(f3197,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(necessarily(or(X0,sK58_skl))),X1)) ),
inference(resolution,[status(thm)],[f1689,f1150]) ).
fof(f3198,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(necessarily(or(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1689,f1149]) ).
fof(f3199,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,necessarily(necessarily(or(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1689,f1148]) ).
fof(f3200,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(necessarily(or(X0,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1689,f664]) ).
fof(f3201,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ187_spl
| ~ is_a_theorem(not(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f657,f2570]) ).
fof(f3202,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| ~ is_a_theorem(not(or(X0,or(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1045,f2586]) ).
fof(f3203,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ190_spl
| ~ is_a_theorem(not(or(X0,implies(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1045,f2582]) ).
fof(f3204,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ190_spl
| ~ is_a_theorem(not(implies(X0,or(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1045,f2582]) ).
fof(f3205,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ188_spl
| ~ is_a_theorem(not(implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f657,f2574]) ).
fof(f3206,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ192_spl
| ~ is_a_theorem(not(or(X0,or(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f1045,f2590]) ).
fof(f3207,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,or(implies(necessarily(X0),X0),X1))) ),
inference(resolution,[status(thm)],[f1241,f1574]) ).
fof(f3212,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,or(X0,implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1214,f1574]) ).
fof(f3217,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(X0,implies(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f1135,f1574]) ).
fof(f3222,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1045,f1135]) ).
fof(f3227,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,or(X0,or(not(X0),X1)))) ),
inference(resolution,[status(thm)],[f1137,f1574]) ).
fof(f3236,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,or(X0,or(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f1136,f1574]) ).
fof(f3246,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,implies(X0,implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1166,f1574]) ).
fof(f3251,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1045,f1166]) ).
fof(f3254,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(and(sK58_skl,necessarily(implies(and(X0,X1),X1)))) ),
inference(resolution,[status(thm)],[f1127,f1574]) ).
fof(f3261,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(and(sK58_skl,necessarily(implies(and(X0,X1),X0)))) ),
inference(resolution,[status(thm)],[f1131,f1574]) ).
fof(f3268,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,necessarily(implies(X0,or(X0,X1))))) ),
inference(resolution,[status(thm)],[f1126,f1574]) ).
fof(f3275,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,necessarily(implies(X0,or(X1,X0))))) ),
inference(resolution,[status(thm)],[f1130,f1574]) ).
fof(f3282,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,necessarily(implies(X0,implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f1129,f1574]) ).
fof(f3288,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1045,f1129]) ).
fof(f3291,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ177_spl
| is_a_theorem(and(sK58_skl,and(sK58_skl,implies(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3103,f1574]) ).
fof(f3292,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ177_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(and(sK58_skl,implies(X0,sK58_skl)),X1)) ),
inference(resolution,[status(thm)],[f3103,f1150]) ).
fof(f3293,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ177_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,and(sK58_skl,implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3103,f1149]) ).
fof(f3294,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ177_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(sK58_skl,implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3103,f1148]) ).
fof(f3295,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ177_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(and(sK58_skl,implies(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3103,f664]) ).
fof(f3296,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ177_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,or(X0,sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f3103]) ).
fof(f3299,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ180_spl
| is_a_theorem(and(sK58_skl,and(sK58_skl,or(sK58_skl,X0)))) ),
inference(resolution,[status(thm)],[f3108,f1574]) ).
fof(f3300,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ180_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(and(sK58_skl,or(sK58_skl,X0)),X1)) ),
inference(resolution,[status(thm)],[f3108,f1150]) ).
fof(f3301,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ180_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,and(sK58_skl,or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f3108,f1149]) ).
fof(f3302,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ180_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(sK58_skl,or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f3108,f1148]) ).
fof(f3303,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ180_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(and(sK58_skl,or(sK58_skl,X0)))) ),
inference(resolution,[status(thm)],[f3108,f664]) ).
fof(f3306,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ181_spl
| is_a_theorem(and(sK58_skl,and(sK58_skl,or(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3113,f1574]) ).
fof(f3307,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(and(sK58_skl,or(X0,sK58_skl)),X1)) ),
inference(resolution,[status(thm)],[f3113,f1150]) ).
fof(f3308,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,and(sK58_skl,or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3113,f1149]) ).
fof(f3309,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(sK58_skl,or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3113,f1148]) ).
fof(f3310,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(and(sK58_skl,or(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3113,f664]) ).
fof(f3311,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,or(and(sK58_skl,sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f3125,f1574]) ).
fof(f3312,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(or(and(sK58_skl,sK58_skl),X0),X1)) ),
inference(resolution,[status(thm)],[f3125,f1150]) ).
fof(f3313,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(X0,or(and(sK58_skl,sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f3125,f1149]) ).
fof(f3314,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,or(and(sK58_skl,sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f3125,f1148]) ).
fof(f3315,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(necessarily(or(and(sK58_skl,sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f3125,f664]) ).
fof(f3316,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,or(X0,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3126,f1574]) ).
fof(f3317,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(or(X0,and(sK58_skl,sK58_skl)),X1)) ),
inference(resolution,[status(thm)],[f3126,f1150]) ).
fof(f3318,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(X0,or(X1,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3126,f1149]) ).
fof(f3319,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,or(X1,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3126,f1148]) ).
fof(f3320,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(necessarily(or(X0,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3126,f664]) ).
fof(f3321,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(sK58_skl,sK58_skl))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3127,f340]) ).
fof(f3322,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,implies(X0,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3127,f1574]) ).
fof(f3323,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(implies(X0,and(sK58_skl,sK58_skl)),X1)) ),
inference(resolution,[status(thm)],[f3127,f1150]) ).
fof(f3324,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(X0,implies(X1,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3127,f1149]) ).
fof(f3325,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,implies(X1,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3127,f1148]) ).
fof(f3326,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(necessarily(implies(X0,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3127,f664]) ).
fof(f3327,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(X0,and(sK58_skl,sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1045,f3127]) ).
fof(f3328,definition,
( sQ198_spl
<=> is_a_theorem(and(sK58_skl,sK58_skl)) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f3329,plain,
( ~ sQ198_spl
| is_a_theorem(and(sK58_skl,sK58_skl)) ),
inference(component_clause,[status(thm)],[f3328]) ).
fof(f3331,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| sQ198_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3321,f1189,f3328,f697,f1281,f742,f384,f339]) ).
fof(f3332,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(or(X1,necessarily(sK58_skl)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1632,f340]) ).
fof(f3333,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,implies(X0,or(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1632,f1574]) ).
fof(f3334,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X0,or(X1,necessarily(sK58_skl))),X2)) ),
inference(resolution,[status(thm)],[f1632,f1150]) ).
fof(f3335,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,or(X2,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1632,f1149]) ).
fof(f3336,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1632,f1148]) ).
fof(f3337,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X0,or(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1632,f664]) ).
fof(f3339,definition,
! [X1] :
( sQ199_spl
<=> is_a_theorem(or(X1,necessarily(sK58_skl))) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f3340,plain,
! [X0] :
( ~ sQ199_spl
| is_a_theorem(or(X0,necessarily(sK58_skl))) ),
inference(component_clause,[status(thm)],[f3339]) ).
fof(f3342,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ172_spl
| sQ199_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3332,f1189,f3339,f1281,f461,f384,f339]) ).
fof(f3343,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,or(X0,or(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1633,f1574]) ).
fof(f3344,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,or(X1,necessarily(sK58_skl))),X2)) ),
inference(resolution,[status(thm)],[f1633,f1150]) ).
fof(f3345,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,or(X2,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1633,f1149]) ).
fof(f3346,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,or(X2,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1633,f1148]) ).
fof(f3347,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,or(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1633,f664]) ).
fof(f3348,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,or(or(X0,necessarily(sK58_skl)),X1))) ),
inference(resolution,[status(thm)],[f1634,f1574]) ).
fof(f3349,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(or(or(or(X0,necessarily(sK58_skl)),X1),X2)) ),
inference(resolution,[status(thm)],[f1634,f1150]) ).
fof(f3350,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(or(X1,necessarily(sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1634,f1149]) ).
fof(f3351,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(or(X1,necessarily(sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1634,f1148]) ).
fof(f3352,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(or(X0,necessarily(sK58_skl)),X1))) ),
inference(resolution,[status(thm)],[f1634,f664]) ).
fof(f3353,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(or(necessarily(sK58_skl),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1636,f340]) ).
fof(f3354,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,implies(X0,or(necessarily(sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f1636,f1574]) ).
fof(f3355,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X0,or(necessarily(sK58_skl),X1)),X2)) ),
inference(resolution,[status(thm)],[f1636,f1150]) ).
fof(f3356,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,or(necessarily(sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1636,f1149]) ).
fof(f3357,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,implies(X1,or(necessarily(sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1636,f1148]) ).
fof(f3358,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X0,or(necessarily(sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f1636,f664]) ).
fof(f3359,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(necessarily(sK58_skl),X1))) ),
inference(paramodulation,[status(thm)],[f1045,f1636]) ).
fof(f3360,definition,
! [X1] :
( sQ200_spl
<=> is_a_theorem(or(necessarily(sK58_skl),X1)) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f3361,plain,
! [X0] :
( ~ sQ200_spl
| is_a_theorem(or(necessarily(sK58_skl),X0)) ),
inference(component_clause,[status(thm)],[f3360]) ).
fof(f3363,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ172_spl
| sQ200_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3353,f1189,f3360,f1281,f450,f384,f339]) ).
fof(f3364,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,or(X0,or(necessarily(sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f1637,f1574]) ).
fof(f3365,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,or(necessarily(sK58_skl),X1)),X2)) ),
inference(resolution,[status(thm)],[f1637,f1150]) ).
fof(f3366,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,or(necessarily(sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1637,f1149]) ).
fof(f3367,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,or(necessarily(sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1637,f1148]) ).
fof(f3368,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,or(necessarily(sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f1637,f664]) ).
fof(f3369,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,or(or(necessarily(sK58_skl),X0),X1))) ),
inference(resolution,[status(thm)],[f1638,f1574]) ).
fof(f3370,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(or(or(or(necessarily(sK58_skl),X0),X1),X2)) ),
inference(resolution,[status(thm)],[f1638,f1150]) ).
fof(f3371,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(or(necessarily(sK58_skl),X1),X2))) ),
inference(resolution,[status(thm)],[f1638,f1149]) ).
fof(f3372,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(or(necessarily(sK58_skl),X1),X2))) ),
inference(resolution,[status(thm)],[f1638,f1148]) ).
fof(f3373,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(or(necessarily(sK58_skl),X0),X1))) ),
inference(resolution,[status(thm)],[f1638,f664]) ).
fof(f3374,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X1,sK58_skl)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1641,f340]) ).
fof(f3375,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ89_spl
| is_a_theorem(and(sK58_skl,implies(X0,necessarily(implies(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1641,f1574]) ).
fof(f3376,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X0,necessarily(implies(X1,sK58_skl))),X2)) ),
inference(resolution,[status(thm)],[f1641,f1150]) ).
fof(f3377,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,necessarily(implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1641,f1149]) ).
fof(f3378,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1641,f1148]) ).
fof(f3379,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X0,necessarily(implies(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1641,f664]) ).
fof(f3380,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(implies(X1,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1641]) ).
fof(f3381,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,necessarily(or(X1,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1641]) ).
fof(f3382,definition,
! [X1] :
( sQ201_spl
<=> is_a_theorem(necessarily(implies(X1,sK58_skl))) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f3383,plain,
! [X0] :
( ~ sQ201_spl
| is_a_theorem(necessarily(implies(X0,sK58_skl))) ),
inference(component_clause,[status(thm)],[f3382]) ).
fof(f3385,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| sQ201_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3374,f1189,f3382,f1281,f742,f663,f384,f339]) ).
fof(f3386,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(X0,necessarily(implies(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1642,f1574]) ).
fof(f3387,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,necessarily(implies(X1,sK58_skl))),X2)) ),
inference(resolution,[status(thm)],[f1642,f1150]) ).
fof(f3388,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,necessarily(implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1642,f1149]) ).
fof(f3389,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,necessarily(implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1642,f1148]) ).
fof(f3390,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,necessarily(implies(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1642,f664]) ).
fof(f3391,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(or(X1,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1642]) ).
fof(f3392,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(necessarily(implies(X0,sK58_skl)),X1))) ),
inference(resolution,[status(thm)],[f1643,f1574]) ).
fof(f3393,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(necessarily(implies(X0,sK58_skl)),X1),X2)) ),
inference(resolution,[status(thm)],[f1643,f1150]) ).
fof(f3394,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(necessarily(implies(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1643,f1149]) ).
fof(f3395,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(necessarily(implies(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1643,f1148]) ).
fof(f3396,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(necessarily(implies(X0,sK58_skl)),X1))) ),
inference(resolution,[status(thm)],[f1643,f664]) ).
fof(f3397,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(necessarily(or(X0,sK58_skl)),X1)) ),
inference(paramodulation,[status(thm)],[f1045,f1643]) ).
fof(f3399,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,necessarily(implies(X0,implies(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1760,f1574]) ).
fof(f3400,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(necessarily(implies(X0,implies(X1,sK58_skl))),X2)) ),
inference(resolution,[status(thm)],[f1760,f1150]) ).
fof(f3401,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(implies(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1760,f1149]) ).
fof(f3402,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1760,f1148]) ).
fof(f3403,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(implies(X0,implies(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1760,f664]) ).
fof(f3404,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,implies(X1,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1760]) ).
fof(f3405,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X0,or(X1,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1760]) ).
fof(f3407,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,necessarily(or(X0,implies(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1770,f1574]) ).
fof(f3408,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(necessarily(or(X0,implies(X1,sK58_skl))),X2)) ),
inference(resolution,[status(thm)],[f1770,f1150]) ).
fof(f3409,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(or(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1770,f1149]) ).
fof(f3410,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,necessarily(or(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1770,f1148]) ).
fof(f3411,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(or(X0,implies(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1770,f664]) ).
fof(f3412,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,or(X1,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1770]) ).
fof(f3414,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,necessarily(or(implies(X0,sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f1775,f1574]) ).
fof(f3415,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(necessarily(or(implies(X0,sK58_skl),X1)),X2)) ),
inference(resolution,[status(thm)],[f1775,f1150]) ).
fof(f3416,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,necessarily(or(implies(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1775,f1149]) ).
fof(f3417,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,necessarily(or(implies(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1775,f1148]) ).
fof(f3418,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(necessarily(or(implies(X0,sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f1775,f664]) ).
fof(f3419,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(or(X0,sK58_skl),X1))) ),
inference(paramodulation,[status(thm)],[f1045,f1775]) ).
fof(f3420,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(implies(X0,necessarily(sK58_skl)),X1))) ),
inference(resolution,[status(thm)],[f1628,f1574]) ).
fof(f3421,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(or(or(implies(X0,necessarily(sK58_skl)),X1),X2)) ),
inference(resolution,[status(thm)],[f1628,f1150]) ).
fof(f3422,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(implies(X1,necessarily(sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1628,f1149]) ).
fof(f3423,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(implies(X1,necessarily(sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1628,f1148]) ).
fof(f3424,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(implies(X0,necessarily(sK58_skl)),X1))) ),
inference(resolution,[status(thm)],[f1628,f664]) ).
fof(f3425,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,necessarily(sK58_skl)),X1)) ),
inference(paramodulation,[status(thm)],[f1045,f1628]) ).
fof(f3426,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(X0,implies(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1627,f1574]) ).
fof(f3427,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,implies(X1,necessarily(sK58_skl))),X2)) ),
inference(resolution,[status(thm)],[f1627,f1150]) ).
fof(f3428,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,implies(X2,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1627,f1149]) ).
fof(f3429,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1627,f1148]) ).
fof(f3430,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,implies(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1627,f664]) ).
fof(f3432,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(implies(X1,necessarily(sK58_skl)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1626,f340]) ).
fof(f3433,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,implies(X0,implies(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1626,f1574]) ).
fof(f3434,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X0,implies(X1,necessarily(sK58_skl))),X2)) ),
inference(resolution,[status(thm)],[f1626,f1150]) ).
fof(f3435,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1626,f1149]) ).
fof(f3436,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1626,f1148]) ).
fof(f3437,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1626,f664]) ).
fof(f3438,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,necessarily(sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1626]) ).
fof(f3439,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,necessarily(sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1626]) ).
fof(f3440,definition,
! [X1] :
( sQ202_spl
<=> is_a_theorem(implies(X1,necessarily(sK58_skl))) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f3441,plain,
! [X0] :
( ~ sQ202_spl
| is_a_theorem(implies(X0,necessarily(sK58_skl))) ),
inference(component_clause,[status(thm)],[f3440]) ).
fof(f3443,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| sQ202_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3432,f1189,f3440,f1281,f384,f339]) ).
fof(f3444,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(sK58_skl,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1681,f340]) ).
fof(f3445,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,implies(X0,necessarily(or(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f1681,f1574]) ).
fof(f3446,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(implies(X0,necessarily(or(sK58_skl,X1))),X2)) ),
inference(resolution,[status(thm)],[f1681,f1150]) ).
fof(f3447,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(X1,necessarily(or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1681,f1149]) ).
fof(f3448,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1681,f1148]) ).
fof(f3449,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(X0,necessarily(or(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f1681,f664]) ).
fof(f3450,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(or(sK58_skl,X1)))) ),
inference(paramodulation,[status(thm)],[f1045,f1681]) ).
fof(f3451,definition,
! [X1] :
( sQ203_spl
<=> is_a_theorem(necessarily(or(sK58_skl,X1))) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f3452,plain,
! [X0] :
( ~ sQ203_spl
| is_a_theorem(necessarily(or(sK58_skl,X0))) ),
inference(component_clause,[status(thm)],[f3451]) ).
fof(f3454,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| sQ203_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3444,f1189,f3451,f450,f701,f663,f384,f339]) ).
fof(f3455,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,or(X0,necessarily(or(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f1682,f1574]) ).
fof(f3456,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(or(X0,necessarily(or(sK58_skl,X1))),X2)) ),
inference(resolution,[status(thm)],[f1682,f1150]) ).
fof(f3457,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,necessarily(or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1682,f1149]) ).
fof(f3458,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,necessarily(or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1682,f1148]) ).
fof(f3459,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(X0,necessarily(or(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f1682,f664]) ).
fof(f3460,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,or(necessarily(or(sK58_skl,X0)),X1))) ),
inference(resolution,[status(thm)],[f1683,f1574]) ).
fof(f3461,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(or(necessarily(or(sK58_skl,X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f1683,f1150]) ).
fof(f3462,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,or(necessarily(or(sK58_skl,X1)),X2))) ),
inference(resolution,[status(thm)],[f1683,f1149]) ).
fof(f3463,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(necessarily(or(sK58_skl,X1)),X2))) ),
inference(resolution,[status(thm)],[f1683,f1148]) ).
fof(f3464,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(or(necessarily(or(sK58_skl,X0)),X1))) ),
inference(resolution,[status(thm)],[f1683,f664]) ).
fof(f3465,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(or(X1,sK58_skl)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1686,f340]) ).
fof(f3466,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,implies(X0,necessarily(or(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1686,f1574]) ).
fof(f3467,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(implies(X0,necessarily(or(X1,sK58_skl))),X2)) ),
inference(resolution,[status(thm)],[f1686,f1150]) ).
fof(f3468,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,implies(X1,necessarily(or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1686,f1149]) ).
fof(f3469,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1686,f1148]) ).
fof(f3470,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(implies(X0,necessarily(or(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1686,f664]) ).
fof(f3471,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,necessarily(or(X1,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1686]) ).
fof(f3472,definition,
! [X1] :
( sQ204_spl
<=> is_a_theorem(necessarily(or(X1,sK58_skl))) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f3473,plain,
! [X0] :
( ~ sQ204_spl
| is_a_theorem(necessarily(or(X0,sK58_skl))) ),
inference(component_clause,[status(thm)],[f3472]) ).
fof(f3475,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| sQ204_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3465,f1189,f3472,f701,f642,f628,f663,f384,f339]) ).
fof(f3476,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(X0,necessarily(or(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1687,f1574]) ).
fof(f3477,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(or(X0,necessarily(or(X1,sK58_skl))),X2)) ),
inference(resolution,[status(thm)],[f1687,f1150]) ).
fof(f3478,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,necessarily(or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1687,f1149]) ).
fof(f3479,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(X1,necessarily(or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1687,f1148]) ).
fof(f3480,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(X0,necessarily(or(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1687,f664]) ).
fof(f3481,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(necessarily(or(X0,sK58_skl)),X1))) ),
inference(resolution,[status(thm)],[f1688,f1574]) ).
fof(f3482,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(or(necessarily(or(X0,sK58_skl)),X1),X2)) ),
inference(resolution,[status(thm)],[f1688,f1150]) ).
fof(f3483,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(necessarily(or(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1688,f1149]) ).
fof(f3484,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(necessarily(or(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1688,f1148]) ).
fof(f3485,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(necessarily(or(X0,sK58_skl)),X1))) ),
inference(resolution,[status(thm)],[f1688,f664]) ).
fof(f3486,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(or(or(sK58_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f1831,f1147]) ).
fof(f3487,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,necessarily(or(or(sK58_skl,X0),X1)))) ),
inference(resolution,[status(thm)],[f1831,f1574]) ).
fof(f3488,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(necessarily(or(or(sK58_skl,X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f1831,f1150]) ).
fof(f3489,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,necessarily(or(or(sK58_skl,X1),X2)))) ),
inference(resolution,[status(thm)],[f1831,f1149]) ).
fof(f3490,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,necessarily(or(or(sK58_skl,X1),X2)))) ),
inference(resolution,[status(thm)],[f1831,f1148]) ).
fof(f3491,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(necessarily(or(or(sK58_skl,X0),X1)))) ),
inference(resolution,[status(thm)],[f1831,f664]) ).
fof(f3492,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,sK58_skl),X1)) ),
inference(resolution,[status(thm)],[f1835,f1147]) ).
fof(f3493,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,necessarily(or(or(X0,sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f1835,f1574]) ).
fof(f3494,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(or(or(X0,sK58_skl),X1)),X2)) ),
inference(resolution,[status(thm)],[f1835,f1150]) ).
fof(f3495,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(or(or(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1835,f1149]) ).
fof(f3496,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(or(or(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1835,f1148]) ).
fof(f3497,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(necessarily(or(or(X0,sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f1835,f664]) ).
fof(f3498,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f1839,f1147]) ).
fof(f3499,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,necessarily(or(X0,or(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f1839,f1574]) ).
fof(f3500,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ99_spl
| is_a_theorem(or(necessarily(or(X0,or(sK58_skl,X1))),X2)) ),
inference(resolution,[status(thm)],[f1839,f1150]) ).
fof(f3501,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(or(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1839,f1149]) ).
fof(f3502,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(or(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1839,f1148]) ).
fof(f3503,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(necessarily(or(X0,or(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f1839,f664]) ).
fof(f3504,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1843,f1147]) ).
fof(f3505,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,necessarily(or(X0,or(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1843,f1574]) ).
fof(f3506,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(necessarily(or(X0,or(X1,sK58_skl))),X2)) ),
inference(resolution,[status(thm)],[f1843,f1150]) ).
fof(f3507,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(or(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1843,f1149]) ).
fof(f3508,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,necessarily(or(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1843,f1148]) ).
fof(f3509,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(necessarily(or(X0,or(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1843,f664]) ).
fof(f3510,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1848,f1147]) ).
fof(f3511,plain,
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,necessarily(necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1848,f1574]) ).
fof(f3512,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(necessarily(necessarily(necessarily(necessarily(sK58_skl)))),X0)) ),
inference(resolution,[status(thm)],[f1848,f1150]) ).
fof(f3513,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,necessarily(necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1848,f1149]) ).
fof(f3514,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,necessarily(necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1848,f1148]) ).
fof(f3515,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(necessarily(necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1848,f664]) ).
fof(f3516,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f1853,f1147]) ).
fof(f3517,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,necessarily(implies(X0,or(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f1853,f1574]) ).
fof(f3518,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(or(necessarily(implies(X0,or(sK58_skl,X1))),X2)) ),
inference(resolution,[status(thm)],[f1853,f1150]) ).
fof(f3519,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(implies(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1853,f1149]) ).
fof(f3520,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1853,f1148]) ).
fof(f3521,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(necessarily(implies(X0,or(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f1853,f664]) ).
fof(f3522,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(X0,or(sK58_skl,X1)))) ),
inference(paramodulation,[status(thm)],[f1045,f1853]) ).
fof(f3523,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1863,f1147]) ).
fof(f3524,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,necessarily(implies(X0,or(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1863,f1574]) ).
fof(f3525,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(necessarily(implies(X0,or(X1,sK58_skl))),X2)) ),
inference(resolution,[status(thm)],[f1863,f1150]) ).
fof(f3526,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,necessarily(implies(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1863,f1149]) ).
fof(f3527,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1863,f1148]) ).
fof(f3528,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(necessarily(implies(X0,or(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1863,f664]) ).
fof(f3529,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(or(X0,or(X1,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1863]) ).
fof(f3530,plain,
! [X0,X1] :
( ~ sQ180_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(and(sK58_skl,or(sK58_skl,X1)),X0))) ),
inference(resolution,[status(thm)],[f2097,f3108]) ).
fof(f3531,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(and(sK58_skl,or(X1,sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f3113]) ).
fof(f3532,plain,
! [X0,X1] :
( ~ sQ177_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(and(sK58_skl,implies(X1,sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f3103]) ).
fof(f3533,plain,
! [X0] :
( ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(and(sK58_skl,necessarily(sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f3120]) ).
fof(f3534,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(and(sK58_skl,sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f2097,f3121]) ).
fof(f3547,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,and(sK58_skl,sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f3127]) ).
fof(f3549,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,necessarily(sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1626]) ).
fof(f3551,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1576]) ).
fof(f3553,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,or(necessarily(sK58_skl),X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1636]) ).
fof(f3554,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,or(sK58_skl,X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1596]) ).
fof(f3555,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,or(X2,necessarily(sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1632]) ).
fof(f3556,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,or(X2,sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1762]) ).
fof(f3559,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,necessarily(or(sK58_skl,X2))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1681]) ).
fof(f3560,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,necessarily(or(X2,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1686]) ).
fof(f3561,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,necessarily(implies(X2,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1641]) ).
fof(f3562,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,necessarily(necessarily(sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1616]) ).
fof(f3563,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,necessarily(sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1565]) ).
fof(f3564,plain,
! [X0,X1] :
( ~ sQ177_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f2097,f1764]) ).
fof(f3565,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(and(sK58_skl,sK58_skl),X1),X0))) ),
inference(resolution,[status(thm)],[f2097,f3125]) ).
fof(f3566,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(or(necessarily(sK58_skl),X1),X2),X0))) ),
inference(resolution,[status(thm)],[f2097,f1638]) ).
fof(f3567,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(or(sK58_skl,X1),X2),X0))) ),
inference(resolution,[status(thm)],[f2097,f1598]) ).
fof(f3568,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(or(X1,necessarily(sK58_skl)),X2),X0))) ),
inference(resolution,[status(thm)],[f2097,f1634]) ).
fof(f3569,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(or(X1,sK58_skl),X2),X0))) ),
inference(resolution,[status(thm)],[f2097,f1776]) ).
fof(f3571,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(implies(X1,necessarily(sK58_skl)),X2),X0))) ),
inference(resolution,[status(thm)],[f2097,f1628]) ).
fof(f3572,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(implies(X1,sK58_skl),X2),X0))) ),
inference(resolution,[status(thm)],[f2097,f1578]) ).
fof(f3573,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(necessarily(or(sK58_skl,X1)),X2),X0))) ),
inference(resolution,[status(thm)],[f2097,f1683]) ).
fof(f3574,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(necessarily(or(X1,sK58_skl)),X2),X0))) ),
inference(resolution,[status(thm)],[f2097,f1688]) ).
fof(f3575,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(necessarily(implies(X1,sK58_skl)),X2),X0))) ),
inference(resolution,[status(thm)],[f2097,f1643]) ).
fof(f3576,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(necessarily(necessarily(sK58_skl)),X1),X0))) ),
inference(resolution,[status(thm)],[f2097,f1618]) ).
fof(f3577,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(necessarily(sK58_skl),X1),X0))) ),
inference(resolution,[status(thm)],[f2097,f1567]) ).
fof(f3578,plain,
! [X0,X1] :
( ~ sQ180_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(sK58_skl,X1),X0))) ),
inference(resolution,[status(thm)],[f2097,f1856]) ).
fof(f3579,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,and(sK58_skl,sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f3126]) ).
fof(f3580,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,or(necessarily(sK58_skl),X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1637]) ).
fof(f3582,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,or(sK58_skl,X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1597]) ).
fof(f3583,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,or(X2,necessarily(sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1633]) ).
fof(f3585,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,or(X2,sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1771]) ).
fof(f3587,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,necessarily(sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1627]) ).
fof(f3589,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1577]) ).
fof(f3590,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,necessarily(or(sK58_skl,X2))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1682]) ).
fof(f3591,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,necessarily(or(X2,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1687]) ).
fof(f3592,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,necessarily(implies(X2,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1642]) ).
fof(f3593,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,necessarily(necessarily(sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1617]) ).
fof(f3594,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,necessarily(sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1566]) ).
fof(f3595,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f2097,f1866]) ).
fof(f3596,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(and(sK58_skl,sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f3128]) ).
fof(f3597,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(or(or(sK58_skl,X1),X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1831]) ).
fof(f3598,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(or(or(X1,sK58_skl),X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1835]) ).
fof(f3599,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(or(implies(X1,sK58_skl),X2)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1775]) ).
fof(f3600,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(or(necessarily(sK58_skl),X1)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1639]) ).
fof(f3601,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(or(sK58_skl,X1)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1599]) ).
fof(f3602,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,or(sK58_skl,X2))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1839]) ).
fof(f3603,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,or(X2,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1843]) ).
fof(f3604,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,implies(X2,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1770]) ).
fof(f3605,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,necessarily(sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1635]) ).
fof(f3606,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1645]) ).
fof(f3610,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,implies(X2,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1760]) ).
fof(f3612,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,or(sK58_skl,X2))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1853]) ).
fof(f3613,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,or(X2,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1863]) ).
fof(f3616,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,necessarily(sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1629]) ).
fof(f3617,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1579]) ).
fof(f3618,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(or(sK58_skl,X1))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1684]) ).
fof(f3619,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(or(X1,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1689]) ).
fof(f3620,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(implies(X1,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1644]) ).
fof(f3621,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(necessarily(necessarily(sK58_skl)))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1848]) ).
fof(f3622,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(necessarily(sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f2097,f1619]) ).
fof(f3623,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f2097,f1568]) ).
fof(f3624,plain,
! [X0] :
( ~ sQ172_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f2097,f1282]) ).
fof(f3625,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(sK58_skl,X0))) ),
inference(resolution,[status(thm)],[f2097,f1564]) ).
fof(f3626,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(and(sK58_skl,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3625,f340]) ).
fof(f3627,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(implies(X1,and(sK58_skl,X1)),X0))) ),
inference(resolution,[status(thm)],[f3625,f2097]) ).
fof(f3628,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(and(sK58_skl,implies(X0,and(sK58_skl,X0)))) ),
inference(resolution,[status(thm)],[f3625,f1574]) ).
fof(f3629,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(or(implies(X0,and(sK58_skl,X0)),X1)) ),
inference(resolution,[status(thm)],[f3625,f1150]) ).
fof(f3630,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,implies(X1,and(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f3625,f1149]) ).
fof(f3631,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,implies(X1,and(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f3625,f1148]) ).
fof(f3632,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(X0,and(sK58_skl,X0)))) ),
inference(resolution,[status(thm)],[f3625,f664]) ).
fof(f3633,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(sK58_skl,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1045,f3625]) ).
fof(f3635,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,or(implies(and(X0,X1),X0),X2))) ),
inference(resolution,[status(thm)],[f1239,f1574]) ).
fof(f3642,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ25_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,or(implies(and(X0,X1),X1),X2))) ),
inference(resolution,[status(thm)],[f1240,f1574]) ).
fof(f3649,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,or(implies(X0,implies(X1,X0)),X2))) ),
inference(resolution,[status(thm)],[f1245,f1574]) ).
fof(f3655,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(X0,or(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1045,f1245]) ).
fof(f3657,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,or(implies(X0,or(X1,X0)),X2))) ),
inference(resolution,[status(thm)],[f1246,f1574]) ).
fof(f3664,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,or(implies(X0,or(X0,X1)),X2))) ),
inference(resolution,[status(thm)],[f1247,f1574]) ).
fof(f3671,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ22_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,or(X0,implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1212,f1574]) ).
fof(f3678,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ25_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,or(X0,implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1213,f1574]) ).
fof(f3685,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,or(X0,implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1218,f1574]) ).
fof(f3693,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,or(X0,implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1219,f1574]) ).
fof(f3700,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,or(X0,implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1220,f1574]) ).
fof(f3708,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ22_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,implies(X0,implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1164,f1574]) ).
fof(f3713,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1045,f1164]) ).
fof(f3714,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f657,f1164]) ).
fof(f3718,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ25_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,implies(X0,implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1165,f1574]) ).
fof(f3723,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1045,f1165]) ).
fof(f3724,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f657,f1165]) ).
fof(f3728,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,implies(X0,implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1167,f1574]) ).
fof(f3733,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1045,f1167]) ).
fof(f3735,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1045,f1167]) ).
fof(f3739,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,implies(X0,implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1168,f1574]) ).
fof(f3749,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,implies(X0,implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1169,f1574]) ).
fof(f3754,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1045,f1169]) ).
fof(f3759,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| is_a_theorem(and(sK58_skl,necessarily(necessarily(implies(necessarily(X0),X0))))) ),
inference(resolution,[status(thm)],[f1143,f1574]) ).
fof(f3764,plain,
! [X0] :
( ~ sQ180_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),and(sK58_skl,or(sK58_skl,X0)))) ),
inference(resolution,[status(thm)],[f1569,f3108]) ).
fof(f3765,plain,
! [X0] :
( ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),and(sK58_skl,or(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f3113]) ).
fof(f3766,plain,
! [X0] :
( ~ sQ177_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),and(sK58_skl,implies(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f3103]) ).
fof(f3767,plain,
( ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(sK58_skl),and(sK58_skl,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f3120]) ).
fof(f3768,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),and(sK58_skl,sK58_skl))) ),
inference(resolution,[status(thm)],[f1569,f3121]) ).
fof(f3769,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1569,f484]) ).
fof(f3770,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1569,f495]) ).
fof(f3771,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(or(X0,not(X1)),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1569,f1042]) ).
fof(f3772,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(possibly(X0),necessarily(possibly(X0))))) ),
inference(resolution,[status(thm)],[f1569,f776]) ).
fof(f3773,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(and(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f1569,f418]) ).
fof(f3774,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(and(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f1569,f429]) ).
fof(f3775,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(implies(X0,implies(X0,X1)),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1569,f396]) ).
fof(f3776,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))) ),
inference(resolution,[status(thm)],[f1569,f473]) ).
fof(f3777,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f1569,f407]) ).
fof(f3778,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) ),
inference(resolution,[status(thm)],[f1569,f506]) ).
fof(f3779,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))) ),
inference(resolution,[status(thm)],[f1569,f732]) ).
fof(f3780,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(necessarily(X0),X0))) ),
inference(resolution,[status(thm)],[f1569,f743]) ).
fof(f3781,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f3127]) ).
fof(f3782,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,and(sK58_skl,X0)))) ),
inference(resolution,[status(thm)],[f1569,f3625]) ).
fof(f3783,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1569,f1165]) ).
fof(f3784,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1569,f1164]) ).
fof(f3785,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1569,f1166]) ).
fof(f3786,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1569,f1169]) ).
fof(f3787,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1569,f1168]) ).
fof(f3788,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1569,f1167]) ).
fof(f3789,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,implies(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1626]) ).
fof(f3790,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,implies(X1,and(X0,X1))))) ),
inference(resolution,[status(thm)],[f1569,f440]) ).
fof(f3791,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f1576]) ).
fof(f3792,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1569,f385]) ).
fof(f3793,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,or(necessarily(sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f1569,f1636]) ).
fof(f3794,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1569,f1596]) ).
fof(f3795,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,or(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1632]) ).
fof(f3796,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f1762]) ).
fof(f3797,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,or(X1,X0)))) ),
inference(resolution,[status(thm)],[f1569,f462]) ).
fof(f3798,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,or(X0,X1)))) ),
inference(resolution,[status(thm)],[f1569,f451]) ).
fof(f3799,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,necessarily(or(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f1569,f1681]) ).
fof(f3800,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,necessarily(or(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1686]) ).
fof(f3801,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,necessarily(implies(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1641]) ).
fof(f3802,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1616]) ).
fof(f3803,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f1565]) ).
fof(f3804,plain,
! [X0] :
( ~ sQ177_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f1569,f1764]) ).
fof(f3805,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(and(sK58_skl,sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f1569,f3125]) ).
fof(f3806,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(or(necessarily(sK58_skl),X0),X1))) ),
inference(resolution,[status(thm)],[f1569,f1638]) ).
fof(f3807,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(or(sK58_skl,X0),X1))) ),
inference(resolution,[status(thm)],[f1569,f1598]) ).
fof(f3808,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(or(X0,necessarily(sK58_skl)),X1))) ),
inference(resolution,[status(thm)],[f1569,f1634]) ).
fof(f3809,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(or(X0,sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f1569,f1776]) ).
fof(f3810,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(implies(and(X0,X1),X1),X2))) ),
inference(resolution,[status(thm)],[f1569,f1240]) ).
fof(f3811,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(implies(and(X0,X1),X0),X2))) ),
inference(resolution,[status(thm)],[f1569,f1239]) ).
fof(f3812,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(implies(necessarily(X0),X0),X1))) ),
inference(resolution,[status(thm)],[f1569,f1241]) ).
fof(f3813,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(implies(X0,or(X0,X1)),X2))) ),
inference(resolution,[status(thm)],[f1569,f1247]) ).
fof(f3814,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(implies(X0,or(X1,X0)),X2))) ),
inference(resolution,[status(thm)],[f1569,f1246]) ).
fof(f3815,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(implies(X0,implies(X1,X0)),X2))) ),
inference(resolution,[status(thm)],[f1569,f1245]) ).
fof(f3816,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(implies(X0,necessarily(sK58_skl)),X1))) ),
inference(resolution,[status(thm)],[f1569,f1628]) ).
fof(f3817,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(implies(X0,sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f1569,f1578]) ).
fof(f3818,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(necessarily(or(sK58_skl,X0)),X1))) ),
inference(resolution,[status(thm)],[f1569,f1683]) ).
fof(f3819,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(necessarily(or(X0,sK58_skl)),X1))) ),
inference(resolution,[status(thm)],[f1569,f1688]) ).
fof(f3820,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(necessarily(implies(X0,sK58_skl)),X1))) ),
inference(resolution,[status(thm)],[f1569,f1643]) ).
fof(f3821,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(necessarily(necessarily(sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f1569,f1618]) ).
fof(f3822,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(necessarily(sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f1569,f1567]) ).
fof(f3823,plain,
! [X0] :
( ~ sQ180_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(sK58_skl,X0))) ),
inference(resolution,[status(thm)],[f1569,f1856]) ).
fof(f3824,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f3126]) ).
fof(f3825,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,or(necessarily(sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f1569,f1637]) ).
fof(f3826,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,or(not(X0),X1)))) ),
inference(resolution,[status(thm)],[f1569,f1137]) ).
fof(f3827,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1569,f1597]) ).
fof(f3828,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,or(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1633]) ).
fof(f3829,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,or(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f1569,f1136]) ).
fof(f3830,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f1771]) ).
fof(f3831,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1569,f1213]) ).
fof(f3832,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1569,f1212]) ).
fof(f3833,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1569,f1214]) ).
fof(f3834,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1569,f1220]) ).
fof(f3835,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1569,f1219]) ).
fof(f3836,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1569,f1218]) ).
fof(f3837,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,implies(X1,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1627]) ).
fof(f3838,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,implies(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f1569,f1135]) ).
fof(f3839,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f1577]) ).
fof(f3840,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,necessarily(or(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f1569,f1682]) ).
fof(f3841,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,necessarily(or(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1687]) ).
fof(f3842,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,necessarily(implies(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1642]) ).
fof(f3843,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1617]) ).
fof(f3844,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f1566]) ).
fof(f3845,plain,
! [X0] :
( ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f1569,f1866]) ).
fof(f3846,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f3128]) ).
fof(f3847,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(or(or(sK58_skl,X0),X1)))) ),
inference(resolution,[status(thm)],[f1569,f1831]) ).
fof(f3848,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(or(or(X0,sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f1569,f1835]) ).
fof(f3849,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(or(implies(X0,sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f1569,f1775]) ).
fof(f3850,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(or(necessarily(sK58_skl),X0)))) ),
inference(resolution,[status(thm)],[f1569,f1639]) ).
fof(f3851,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(or(sK58_skl,X0)))) ),
inference(resolution,[status(thm)],[f1569,f1599]) ).
fof(f3852,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(or(X0,or(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f1569,f1839]) ).
fof(f3853,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(or(X0,or(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1843]) ).
fof(f3854,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(or(X0,implies(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1770]) ).
fof(f3855,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(or(X0,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1635]) ).
fof(f3856,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(or(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f1645]) ).
fof(f3857,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(implies(and(X0,X1),X0)))) ),
inference(resolution,[status(thm)],[f1569,f1131]) ).
fof(f3858,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(implies(and(X0,X1),X1)))) ),
inference(resolution,[status(thm)],[f1569,f1127]) ).
fof(f3859,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f1569,f1119]) ).
fof(f3860,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(implies(X0,implies(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1760]) ).
fof(f3861,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(implies(X0,implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f1569,f1129]) ).
fof(f3862,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(implies(X0,or(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f1569,f1853]) ).
fof(f3863,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(implies(X0,or(X1,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1863]) ).
fof(f3864,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(implies(X0,or(X1,X0))))) ),
inference(resolution,[status(thm)],[f1569,f1130]) ).
fof(f3865,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(implies(X0,or(X0,X1))))) ),
inference(resolution,[status(thm)],[f1569,f1126]) ).
fof(f3866,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(implies(X0,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1629]) ).
fof(f3867,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(implies(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f1579]) ).
fof(f3868,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(necessarily(or(sK58_skl,X0))))) ),
inference(resolution,[status(thm)],[f1569,f1684]) ).
fof(f3869,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(necessarily(or(X0,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1689]) ).
fof(f3870,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(necessarily(implies(necessarily(X0),X0))))) ),
inference(resolution,[status(thm)],[f1569,f1143]) ).
fof(f3871,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(necessarily(implies(X0,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1644]) ).
fof(f3872,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1569,f1848]) ).
fof(f3873,plain,
( ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1569,f1619]) ).
fof(f3874,plain,
( ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1569,f1568]) ).
fof(f3875,plain,
( ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1569,f1282]) ).
fof(f3876,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(sK58_skl),sK58_skl)) ),
inference(resolution,[status(thm)],[f1569,f1564]) ).
fof(f3879,plain,
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(sK58_skl),and(necessarily(sK58_skl),sK58_skl))) ),
inference(resolution,[status(thm)],[f3876,f1569]) ).
fof(f3880,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,and(and(necessarily(sK58_skl),sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f3876,f2097]) ).
fof(f3881,plain,
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,and(necessarily(sK58_skl),sK58_skl))) ),
inference(resolution,[status(thm)],[f3876,f1574]) ).
fof(f3882,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(and(necessarily(sK58_skl),sK58_skl),X0)) ),
inference(resolution,[status(thm)],[f3876,f1150]) ).
fof(f3883,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(X0,and(necessarily(sK58_skl),sK58_skl))) ),
inference(resolution,[status(thm)],[f3876,f1149]) ).
fof(f3884,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,and(necessarily(sK58_skl),sK58_skl))) ),
inference(resolution,[status(thm)],[f3876,f1148]) ).
fof(f3885,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(necessarily(and(necessarily(sK58_skl),sK58_skl))) ),
inference(resolution,[status(thm)],[f3876,f664]) ).
fof(f3886,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(and(necessarily(sK58_skl),sK58_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f3876]) ).
fof(f3887,plain,
! [X0,X1] :
( ~ sQ180_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(and(sK58_skl,or(sK58_skl,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f3108]) ).
fof(f3888,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(and(sK58_skl,or(X1,sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f3113]) ).
fof(f3889,plain,
! [X0,X1] :
( ~ sQ177_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(and(sK58_skl,implies(X1,sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f3103]) ).
fof(f3890,plain,
! [X0] :
( ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(and(sK58_skl,necessarily(sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f3120]) ).
fof(f3891,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(and(sK58_skl,sK58_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f3121]) ).
fof(f3904,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,and(sK58_skl,sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f3127]) ).
fof(f3905,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,and(sK58_skl,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f3625]) ).
fof(f3912,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,implies(X2,necessarily(sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1626]) ).
fof(f3914,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,implies(X2,sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1576]) ).
fof(f3916,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,or(necessarily(sK58_skl),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1636]) ).
fof(f3917,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,or(sK58_skl,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1596]) ).
fof(f3918,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,or(X2,necessarily(sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1632]) ).
fof(f3919,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,or(X2,sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1762]) ).
fof(f3922,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,necessarily(or(sK58_skl,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1681]) ).
fof(f3923,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,necessarily(or(X2,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1686]) ).
fof(f3924,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,necessarily(implies(X2,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1641]) ).
fof(f3925,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,necessarily(necessarily(sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1616]) ).
fof(f3927,plain,
! [X0,X1] :
( ~ sQ177_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,sK58_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1764]) ).
fof(f3928,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(and(sK58_skl,sK58_skl),X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f3125]) ).
fof(f3929,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(or(necessarily(sK58_skl),X1),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1638]) ).
fof(f3930,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(or(sK58_skl,X1),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1598]) ).
fof(f3931,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(or(X1,necessarily(sK58_skl)),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1634]) ).
fof(f3932,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(or(X1,sK58_skl),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1776]) ).
fof(f3939,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(implies(X1,necessarily(sK58_skl)),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1628]) ).
fof(f3940,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(implies(X1,sK58_skl),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1578]) ).
fof(f3941,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ98_spl
| is_a_theorem(and(or(necessarily(or(sK58_skl,X1)),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1683]) ).
fof(f3942,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(or(necessarily(or(X1,sK58_skl)),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1688]) ).
fof(f3943,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(necessarily(implies(X1,sK58_skl)),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1643]) ).
fof(f3944,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(necessarily(necessarily(sK58_skl)),X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1618]) ).
fof(f3947,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,and(sK58_skl,sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f3126]) ).
fof(f3948,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,or(necessarily(sK58_skl),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1637]) ).
fof(f3950,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,or(sK58_skl,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1597]) ).
fof(f3951,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,or(X2,necessarily(sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1633]) ).
fof(f3953,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,or(X2,sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1771]) ).
fof(f3960,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,implies(X2,necessarily(sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1627]) ).
fof(f3962,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,implies(X2,sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1577]) ).
fof(f3963,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,necessarily(or(sK58_skl,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1682]) ).
fof(f3964,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,necessarily(or(X2,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1687]) ).
fof(f3965,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,necessarily(implies(X2,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1642]) ).
fof(f3966,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X1,necessarily(necessarily(sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1617]) ).
fof(f3969,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(and(sK58_skl,sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f3128]) ).
fof(f3970,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(or(or(sK58_skl,X1),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1831]) ).
fof(f3971,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(or(or(X1,sK58_skl),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1835]) ).
fof(f3972,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(or(implies(X1,sK58_skl),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1775]) ).
fof(f3973,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(or(necessarily(sK58_skl),X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1639]) ).
fof(f3975,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(or(X1,or(sK58_skl,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1839]) ).
fof(f3976,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(or(X1,or(X2,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1843]) ).
fof(f3977,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(or(X1,implies(X2,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1770]) ).
fof(f3978,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(or(X1,necessarily(sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1635]) ).
fof(f3983,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(implies(X1,implies(X2,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1760]) ).
fof(f3985,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(implies(X1,or(sK58_skl,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1853]) ).
fof(f3986,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(implies(X1,or(X2,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1863]) ).
fof(f3989,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(implies(X1,necessarily(sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1629]) ).
fof(f3991,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(necessarily(or(sK58_skl,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1684]) ).
fof(f3992,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(necessarily(or(X1,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1689]) ).
fof(f3994,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(necessarily(implies(X1,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1644]) ).
fof(f3995,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(necessarily(necessarily(necessarily(sK58_skl)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1848]) ).
fof(f3996,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(and(necessarily(necessarily(necessarily(sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f698,f1619]) ).
fof(f4002,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(possibly(X0),and(sK58_skl,sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1134,f3126]) ).
fof(f4003,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(implies(possibly(X0),or(necessarily(sK58_skl),X1))) ),
inference(paramodulation,[status(thm)],[f1134,f1637]) ).
fof(f4005,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(possibly(X0),or(sK58_skl,X1)))) ),
inference(paramodulation,[status(thm)],[f1134,f1839]) ).
fof(f4006,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(possibly(X0),or(sK58_skl,X1))) ),
inference(paramodulation,[status(thm)],[f1134,f1597]) ).
fof(f4007,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(implies(possibly(X0),or(X1,necessarily(sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1633]) ).
fof(f4011,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(X0),implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1134,f1213]) ).
fof(f4012,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(X0),implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1134,f1212]) ).
fof(f4013,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(X0),implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1134,f1214]) ).
fof(f4014,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(X0),implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1134,f1220]) ).
fof(f4015,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(X0),implies(X1,or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1134,f1219]) ).
fof(f4021,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(possibly(X1),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1134,f1136]) ).
fof(f4023,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(possibly(X0),necessarily(or(sK58_skl,X1)))) ),
inference(paramodulation,[status(thm)],[f1134,f1682]) ).
fof(f4026,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(implies(possibly(X0),necessarily(necessarily(sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1617]) ).
fof(f4027,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(possibly(X0),necessarily(sK58_skl)),X1)) ),
inference(paramodulation,[status(thm)],[f1134,f1634]) ).
fof(f4028,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(possibly(X1),necessarily(sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1633]) ).
fof(f4030,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(possibly(X0),necessarily(sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1635]) ).
fof(f4031,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(implies(possibly(X0),necessarily(sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1134,f1566]) ).
fof(f4032,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(implies(X0,implies(possibly(X1),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1863]) ).
fof(f4033,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,implies(possibly(X1),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1843]) ).
fof(f4034,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(implies(possibly(X0),sK58_skl),X1))) ),
inference(paramodulation,[status(thm)],[f1134,f1835]) ).
fof(f4035,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(possibly(X0),sK58_skl)),X1)) ),
inference(paramodulation,[status(thm)],[f1134,f1688]) ).
fof(f4036,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(implies(possibly(X1),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1687]) ).
fof(f4037,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,necessarily(implies(possibly(X1),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1686]) ).
fof(f4038,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(possibly(X0),sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1134,f3113]) ).
fof(f4039,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(implies(possibly(X0),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1689]) ).
fof(f4044,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ181_spl
| is_a_theorem(implies(possibly(X0),sK58_skl)) ),
inference(paramodulation,[status(thm)],[f1134,f1866]) ).
fof(f4048,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(possibly(X2),X1)))) ),
inference(paramodulation,[status(thm)],[f1134,f1219]) ).
fof(f4050,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(X0,implies(possibly(X1),X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1134,f1246]) ).
fof(f4051,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(possibly(X1),X0)))) ),
inference(paramodulation,[status(thm)],[f1134,f1130]) ).
fof(f4053,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ192_spl
| ~ is_a_theorem(not(implies(necessarily(not(X0)),implies(possibly(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f1134,f2590]) ).
fof(f4054,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| ~ is_a_theorem(not(implies(X0,implies(possibly(X1),X0)))) ),
inference(paramodulation,[status(thm)],[f1134,f2586]) ).
fof(f4055,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(X1),X0))) ),
inference(paramodulation,[status(thm)],[f1134,f462]) ).
fof(f4066,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(and(sK58_skl,implies(necessarily(X1),X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3094,f698]) ).
fof(f4067,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(sK58_skl),and(sK58_skl,implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f3094,f1569]) ).
fof(f4068,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(and(sK58_skl,implies(necessarily(X1),X1)),X0))) ),
inference(resolution,[status(thm)],[f3094,f2097]) ).
fof(f4069,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,and(sK58_skl,implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f3094,f1574]) ).
fof(f4070,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(or(and(sK58_skl,implies(necessarily(X0),X0)),X1)) ),
inference(resolution,[status(thm)],[f3094,f1150]) ).
fof(f4071,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,and(sK58_skl,implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f3094,f1149]) ).
fof(f4072,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(sK58_skl,implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f3094,f1148]) ).
fof(f4073,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(and(sK58_skl,implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f3094,f664]) ).
fof(f4076,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(and(sK58_skl,necessarily(necessarily(sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3119,f698]) ).
fof(f4077,plain,
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(sK58_skl),and(sK58_skl,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f3119,f1569]) ).
fof(f4078,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(implies(X0,and(and(sK58_skl,necessarily(necessarily(sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f3119,f2097]) ).
fof(f4079,plain,
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| is_a_theorem(and(sK58_skl,and(sK58_skl,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f3119,f1574]) ).
fof(f4080,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(or(and(sK58_skl,necessarily(necessarily(sK58_skl))),X0)) ),
inference(resolution,[status(thm)],[f3119,f1150]) ).
fof(f4081,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(or(X0,and(sK58_skl,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f3119,f1149]) ).
fof(f4082,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(implies(X0,and(sK58_skl,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f3119,f1148]) ).
fof(f4083,plain,
( ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(and(sK58_skl,necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f3119,f664]) ).
fof(f4086,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(and(sK58_skl,and(sK58_skl,sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3124,f698]) ).
fof(f4087,plain,
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(sK58_skl),and(sK58_skl,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3124,f1569]) ).
fof(f4088,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(and(sK58_skl,and(sK58_skl,sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f3124,f2097]) ).
fof(f4089,plain,
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,and(sK58_skl,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3124,f1574]) ).
fof(f4090,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(and(sK58_skl,and(sK58_skl,sK58_skl)),X0)) ),
inference(resolution,[status(thm)],[f3124,f1150]) ).
fof(f4091,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,and(sK58_skl,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3124,f1149]) ).
fof(f4092,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(sK58_skl,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3124,f1148]) ).
fof(f4093,plain,
( ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(and(sK58_skl,and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f3124,f664]) ).
fof(f4095,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(and(sK58_skl,necessarily(sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3135,f698]) ).
fof(f4096,plain,
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(and(sK58_skl,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f3135,f1569]) ).
fof(f4097,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(implies(X0,and(necessarily(and(sK58_skl,necessarily(sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f3135,f2097]) ).
fof(f4098,plain,
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| is_a_theorem(and(sK58_skl,necessarily(and(sK58_skl,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f3135,f1574]) ).
fof(f4099,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(or(necessarily(and(sK58_skl,necessarily(sK58_skl))),X0)) ),
inference(resolution,[status(thm)],[f3135,f1150]) ).
fof(f4100,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(or(X0,necessarily(and(sK58_skl,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f3135,f1149]) ).
fof(f4101,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| is_a_theorem(implies(X0,necessarily(and(sK58_skl,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f3135,f1148]) ).
fof(f4102,plain,
( ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(and(sK58_skl,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f3135,f664]) ).
fof(f4104,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(necessarily(and(sK58_skl,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3141,f698]) ).
fof(f4105,plain,
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(necessarily(and(sK58_skl,sK58_skl))))) ),
inference(resolution,[status(thm)],[f3141,f1569]) ).
fof(f4106,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(and(sK58_skl,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f3141,f2097]) ).
fof(f4107,plain,
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| is_a_theorem(and(sK58_skl,necessarily(necessarily(and(sK58_skl,sK58_skl))))) ),
inference(resolution,[status(thm)],[f3141,f1574]) ).
fof(f4108,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(necessarily(necessarily(and(sK58_skl,sK58_skl))),X0)) ),
inference(resolution,[status(thm)],[f3141,f1150]) ).
fof(f4109,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(X0,necessarily(necessarily(and(sK58_skl,sK58_skl))))) ),
inference(resolution,[status(thm)],[f3141,f1149]) ).
fof(f4110,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,necessarily(necessarily(and(sK58_skl,sK58_skl))))) ),
inference(resolution,[status(thm)],[f3141,f1148]) ).
fof(f4111,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(necessarily(necessarily(necessarily(and(sK58_skl,sK58_skl))))) ),
inference(resolution,[status(thm)],[f3141,f664]) ).
fof(f4123,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ188_spl
| ~ is_a_theorem(not(not(and(and(X0,and(X1,not(X2))),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1123,f2574]) ).
fof(f4124,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ187_spl
| ~ is_a_theorem(not(not(and(and(and(X0,not(X1)),X2),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1123,f2570]) ).
fof(f4127,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(X1,not(X2))),implies(implies(X3,and(X1,not(X2))),not(and(or(X0,X3),implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f473]) ).
fof(f4128,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,not(and(necessarily(and(X0,not(X1))),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1123,f3094]) ).
fof(f4130,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ184_spl
| ~ is_a_theorem(not(necessarily(not(and(necessarily(and(X0,not(X1))),implies(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1123,f2559]) ).
fof(f4135,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(not(and(necessarily(and(X0,not(X1))),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1123,f2578]) ).
fof(f4138,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(not(and(not(X0),implies(sK58_skl,X0)))) ),
inference(paramodulation,[status(thm)],[f1123,f3625]) ).
fof(f4139,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,not(and(not(X1),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1123,f440]) ).
fof(f4144,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ190_spl
| ~ is_a_theorem(not(implies(and(X0,not(X1)),not(and(X2,implies(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1123,f2582]) ).
fof(f4149,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,and(X2,not(X3))),not(and(X0,implies(X2,X3)))))) ),
inference(paramodulation,[status(thm)],[f1123,f407]) ).
fof(f4150,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,implies(X2,X3))),implies(X0,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f1123,f407]) ).
fof(f4151,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(not(and(X0,implies(X1,X2))),implies(implies(and(X1,not(X2)),X3),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f1123,f407]) ).
fof(f4153,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(X1,not(X2))),implies(not(and(X3,implies(X1,X2))),implies(or(X0,X3),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f473]) ).
fof(f4154,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(and(X0,implies(X1,X2))),implies(implies(X3,and(X1,not(X2))),implies(or(X0,X3),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f473]) ).
fof(f4155,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),X2),implies(not(and(X2,implies(X0,X1))),equiv(and(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f1123,f506]) ).
fof(f4156,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(not(and(X0,implies(X1,X2))),implies(implies(and(X1,not(X2)),X0),equiv(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1123,f506]) ).
fof(f4164,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(and(X0,implies(X1,X2))),implies(implies(X3,and(X1,not(X2))),not(and(or(X0,X3),implies(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1123,f4127]) ).
fof(f4168,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ184_spl
| ~ sQ164_spl
| ~ is_a_theorem(possibly(and(necessarily(and(X0,not(X1))),implies(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f941,f4130]) ).
fof(f4172,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,implies(X2,X3))),not(and(X0,implies(X2,X3)))))) ),
inference(forward_demodulation,[status(thm)],[f1123,f4149]) ).
fof(f4177,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(and(X0,implies(X1,X2))),implies(not(and(X3,implies(X1,X2))),implies(or(X0,X3),and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1123,f4153]) ).
fof(f4189,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(and(necessarily(sK58_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3624,f340]) ).
fof(f4190,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X1,and(necessarily(sK58_skl),X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3624,f698]) ).
fof(f4191,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,and(necessarily(sK58_skl),X0)))) ),
inference(resolution,[status(thm)],[f3624,f1569]) ).
fof(f4192,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(implies(X1,and(necessarily(sK58_skl),X1)),X0))) ),
inference(resolution,[status(thm)],[f3624,f2097]) ).
fof(f4193,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(and(sK58_skl,implies(X0,and(necessarily(sK58_skl),X0)))) ),
inference(resolution,[status(thm)],[f3624,f1574]) ).
fof(f4194,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(or(implies(X0,and(necessarily(sK58_skl),X0)),X1)) ),
inference(resolution,[status(thm)],[f3624,f1150]) ).
fof(f4195,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,implies(X1,and(necessarily(sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f3624,f1149]) ).
fof(f4196,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,implies(X1,and(necessarily(sK58_skl),X1)))) ),
inference(resolution,[status(thm)],[f3624,f1148]) ).
fof(f4197,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(X0,and(necessarily(sK58_skl),X0)))) ),
inference(resolution,[status(thm)],[f3624,f664]) ).
fof(f4198,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ172_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(sK58_skl),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1045,f3624]) ).
fof(f4199,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ172_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(not(and(not(X0),implies(necessarily(sK58_skl),X0)))) ),
inference(paramodulation,[status(thm)],[f1123,f3624]) ).
fof(f4202,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(and(necessarily(implies(X1,and(sK58_skl,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3632,f698]) ).
fof(f4203,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(implies(X0,and(sK58_skl,X0))))) ),
inference(resolution,[status(thm)],[f3632,f1569]) ).
fof(f4204,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,and(sK58_skl,X1))),X0))) ),
inference(resolution,[status(thm)],[f3632,f2097]) ).
fof(f4205,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(sK58_skl,necessarily(implies(X0,and(sK58_skl,X0))))) ),
inference(resolution,[status(thm)],[f3632,f1574]) ).
fof(f4206,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(or(necessarily(implies(X0,and(sK58_skl,X0))),X1)) ),
inference(resolution,[status(thm)],[f3632,f1150]) ).
fof(f4207,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,necessarily(implies(X1,and(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f3632,f1149]) ).
fof(f4208,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,and(sK58_skl,X1))))) ),
inference(resolution,[status(thm)],[f3632,f1148]) ).
fof(f4209,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(necessarily(implies(X0,and(sK58_skl,X0))))) ),
inference(resolution,[status(thm)],[f3632,f664]) ).
fof(f4210,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(or(X0,and(sK58_skl,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1045,f3632]) ).
fof(f4211,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(not(and(not(X0),implies(sK58_skl,X0))))) ),
inference(paramodulation,[status(thm)],[f1123,f3632]) ).
fof(f4213,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X1,and(sK58_skl,not(X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3633,f698]) ).
fof(f4214,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,and(sK58_skl,not(X0))))) ),
inference(resolution,[status(thm)],[f3633,f1569]) ).
fof(f4215,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(or(X1,and(sK58_skl,not(X1))),X0))) ),
inference(resolution,[status(thm)],[f3633,f2097]) ).
fof(f4216,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(sK58_skl,or(X0,and(sK58_skl,not(X0))))) ),
inference(resolution,[status(thm)],[f3633,f1574]) ).
fof(f4217,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(or(or(X0,and(sK58_skl,not(X0))),X1)) ),
inference(resolution,[status(thm)],[f3633,f1150]) ).
fof(f4218,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,or(X1,and(sK58_skl,not(X1))))) ),
inference(resolution,[status(thm)],[f3633,f1149]) ).
fof(f4219,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,or(X1,and(sK58_skl,not(X1))))) ),
inference(resolution,[status(thm)],[f3633,f1148]) ).
fof(f4231,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(and(necessarily(sK58_skl),necessarily(sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3875,f698]) ).
fof(f4232,plain,
( ~ sQ98_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(sK58_skl),and(necessarily(sK58_skl),necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f3875,f1569]) ).
fof(f4233,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,and(and(necessarily(sK58_skl),necessarily(sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f3875,f2097]) ).
fof(f4234,plain,
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,and(necessarily(sK58_skl),necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f3875,f1574]) ).
fof(f4235,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(and(necessarily(sK58_skl),necessarily(sK58_skl)),X0)) ),
inference(resolution,[status(thm)],[f3875,f1150]) ).
fof(f4236,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(X0,and(necessarily(sK58_skl),necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f3875,f1149]) ).
fof(f4237,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,and(necessarily(sK58_skl),necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f3875,f1148]) ).
fof(f4238,plain,
( ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(necessarily(and(necessarily(sK58_skl),necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f3875,f664]) ).
fof(f4240,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(necessarily(and(necessarily(sK58_skl),sK58_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3885,f698]) ).
fof(f4241,plain,
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(and(necessarily(sK58_skl),sK58_skl)))) ),
inference(resolution,[status(thm)],[f3885,f1569]) ).
fof(f4242,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,and(necessarily(and(necessarily(sK58_skl),sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f3885,f2097]) ).
fof(f4243,plain,
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ89_spl
| is_a_theorem(and(sK58_skl,necessarily(and(necessarily(sK58_skl),sK58_skl)))) ),
inference(resolution,[status(thm)],[f3885,f1574]) ).
fof(f4244,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(necessarily(and(necessarily(sK58_skl),sK58_skl)),X0)) ),
inference(resolution,[status(thm)],[f3885,f1150]) ).
fof(f4245,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(or(X0,necessarily(and(necessarily(sK58_skl),sK58_skl)))) ),
inference(resolution,[status(thm)],[f3885,f1149]) ).
fof(f4246,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,necessarily(and(necessarily(sK58_skl),sK58_skl)))) ),
inference(resolution,[status(thm)],[f3885,f1148]) ).
fof(f4247,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(necessarily(necessarily(and(necessarily(sK58_skl),sK58_skl)))) ),
inference(resolution,[status(thm)],[f3885,f664]) ).
fof(f4250,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ119_spl
| is_a_theorem(implies(possibly(necessarily(not(X0))),necessarily(not(necessarily(possibly(X0)))))) ),
inference(paramodulation,[status(thm)],[f1110,f776]) ).
fof(f4251,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ119_spl
| is_a_theorem(implies(not(necessarily(possibly(X0))),necessarily(possibly(necessarily(not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1110,f776]) ).
fof(f4258,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X1,implies(X2,sK58_skl)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1757,f340]) ).
fof(f4259,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(and(implies(X1,implies(X2,implies(X3,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1757,f698]) ).
fof(f4260,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,implies(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1757,f1569]) ).
fof(f4261,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,implies(X3,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f1757,f2097]) ).
fof(f4262,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,implies(X0,implies(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1757,f1574]) ).
fof(f4263,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X0,implies(X1,implies(X2,sK58_skl))),X3)) ),
inference(resolution,[status(thm)],[f1757,f1150]) ).
fof(f4264,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,implies(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1757,f1149]) ).
fof(f4265,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1757,f1148]) ).
fof(f4266,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1757,f664]) ).
fof(f4267,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1757]) ).
fof(f4268,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1757]) ).
fof(f4269,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1757]) ).
fof(f4270,definition,
! [X1,X2] :
( sQ205_spl
<=> is_a_theorem(implies(X1,implies(X2,sK58_skl))) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f4271,plain,
! [X0,X1] :
( ~ sQ205_spl
| is_a_theorem(implies(X0,implies(X1,sK58_skl))) ),
inference(component_clause,[status(thm)],[f4270]) ).
fof(f4273,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| sQ205_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4258,f1189,f4270,f1281,f742,f384,f339]) ).
fof(f4274,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(and(or(X1,implies(X2,implies(X3,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1758,f698]) ).
fof(f4275,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,implies(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1758,f1569]) ).
fof(f4276,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,implies(X3,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f1758,f2097]) ).
fof(f4277,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(X0,implies(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1758,f1574]) ).
fof(f4278,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,implies(X1,implies(X2,sK58_skl))),X3)) ),
inference(resolution,[status(thm)],[f1758,f1150]) ).
fof(f4279,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,implies(X2,implies(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1758,f1149]) ).
fof(f4280,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,implies(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1758,f1148]) ).
fof(f4281,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,implies(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1758,f664]) ).
fof(f4284,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,or(X2,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1758]) ).
fof(f4285,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(and(or(implies(X1,implies(X2,sK58_skl)),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1759,f698]) ).
fof(f4286,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| is_a_theorem(and(necessarily(sK58_skl),or(implies(X0,implies(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1759,f1569]) ).
fof(f4287,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(or(implies(X1,implies(X2,sK58_skl)),X3),X0))) ),
inference(resolution,[status(thm)],[f1759,f2097]) ).
fof(f4288,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(implies(X0,implies(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1759,f1574]) ).
fof(f4289,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(implies(X0,implies(X1,sK58_skl)),X2),X3)) ),
inference(resolution,[status(thm)],[f1759,f1150]) ).
fof(f4290,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(implies(X1,implies(X2,sK58_skl)),X3))) ),
inference(resolution,[status(thm)],[f1759,f1149]) ).
fof(f4291,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(implies(X1,implies(X2,sK58_skl)),X3))) ),
inference(resolution,[status(thm)],[f1759,f1148]) ).
fof(f4292,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(implies(X0,implies(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1759,f664]) ).
fof(f4293,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,implies(X1,sK58_skl)),X2)) ),
inference(paramodulation,[status(thm)],[f1045,f1759]) ).
fof(f4294,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X0,or(X1,sK58_skl)),X2)) ),
inference(paramodulation,[status(thm)],[f1045,f1759]) ).
fof(f4295,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X1,implies(X2,sK58_skl)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1767,f340]) ).
fof(f4296,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(and(implies(X1,or(X2,implies(X3,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1767,f698]) ).
fof(f4297,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,or(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1767,f1569]) ).
fof(f4298,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(implies(X1,or(X2,implies(X3,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f1767,f2097]) ).
fof(f4299,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,implies(X0,or(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1767,f1574]) ).
fof(f4300,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X0,or(X1,implies(X2,sK58_skl))),X3)) ),
inference(resolution,[status(thm)],[f1767,f1150]) ).
fof(f4301,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,or(X2,implies(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1767,f1149]) ).
fof(f4302,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,implies(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1767,f1148]) ).
fof(f4303,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X0,or(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1767,f664]) ).
fof(f4306,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,or(X2,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1767]) ).
fof(f4307,definition,
! [X1,X2] :
( sQ206_spl
<=> is_a_theorem(or(X1,implies(X2,sK58_skl))) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f4308,plain,
! [X0,X1] :
( ~ sQ206_spl
| is_a_theorem(or(X0,implies(X1,sK58_skl))) ),
inference(component_clause,[status(thm)],[f4307]) ).
fof(f4310,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| sQ206_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4295,f1189,f4307,f1281,f742,f461,f384,f339]) ).
fof(f4311,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(and(or(X1,or(X2,implies(X3,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1768,f698]) ).
fof(f4312,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,or(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1768,f1569]) ).
fof(f4313,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(or(X1,or(X2,implies(X3,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f1768,f2097]) ).
fof(f4314,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(X0,or(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1768,f1574]) ).
fof(f4315,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,or(X1,implies(X2,sK58_skl))),X3)) ),
inference(resolution,[status(thm)],[f1768,f1150]) ).
fof(f4316,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,or(X2,implies(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1768,f1149]) ).
fof(f4317,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,or(X2,implies(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1768,f1148]) ).
fof(f4318,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,or(X1,implies(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1768,f664]) ).
fof(f4321,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,or(X2,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1768]) ).
fof(f4323,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(not(X0),not(X1)) = and(or(X0,not(X1)),or(X1,not(X0))) ),
inference(paramodulation,[status(thm)],[f1045,f1140]) ).
fof(f4326,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1140,f1165]) ).
fof(f4327,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1140,f1164]) ).
fof(f4329,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1140,f1212]) ).
fof(f4331,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),or(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1140,f1239]) ).
fof(f4332,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(not(X0),X1),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1140,f1131]) ).
fof(f4335,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ187_spl
| ~ is_a_theorem(not(implies(equiv(not(X0),X1),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1140,f2570]) ).
fof(f4336,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f1140,f440]) ).
fof(f4337,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(not(X0),X1),or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f1140,f418]) ).
fof(f4338,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(not(X0),X1),implies(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1140,f429]) ).
fof(f4340,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f1140,f1145]) ).
fof(f4347,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(and(or(or(X1,implies(X2,sK58_skl)),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1769,f698]) ).
fof(f4348,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| is_a_theorem(and(necessarily(sK58_skl),or(or(X0,implies(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1769,f1569]) ).
fof(f4349,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(or(or(X1,implies(X2,sK58_skl)),X3),X0))) ),
inference(resolution,[status(thm)],[f1769,f2097]) ).
fof(f4350,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(or(X0,implies(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1769,f1574]) ).
fof(f4351,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(or(X0,implies(X1,sK58_skl)),X2),X3)) ),
inference(resolution,[status(thm)],[f1769,f1150]) ).
fof(f4352,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(or(X1,implies(X2,sK58_skl)),X3))) ),
inference(resolution,[status(thm)],[f1769,f1149]) ).
fof(f4353,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(or(X1,implies(X2,sK58_skl)),X3))) ),
inference(resolution,[status(thm)],[f1769,f1148]) ).
fof(f4354,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(or(X0,implies(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1769,f664]) ).
fof(f4356,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,or(X1,sK58_skl)),X2)) ),
inference(paramodulation,[status(thm)],[f1045,f1769]) ).
fof(f4357,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X1,sK58_skl),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1772,f340]) ).
fof(f4358,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(and(implies(X1,or(implies(X2,sK58_skl),X3)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1772,f698]) ).
fof(f4359,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,or(implies(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1772,f1569]) ).
fof(f4360,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(implies(X1,or(implies(X2,sK58_skl),X3)),X0))) ),
inference(resolution,[status(thm)],[f1772,f2097]) ).
fof(f4361,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,implies(X0,or(implies(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1772,f1574]) ).
fof(f4362,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(X0,or(implies(X1,sK58_skl),X2)),X3)) ),
inference(resolution,[status(thm)],[f1772,f1150]) ).
fof(f4363,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(X1,or(implies(X2,sK58_skl),X3)))) ),
inference(resolution,[status(thm)],[f1772,f1149]) ).
fof(f4364,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,implies(X1,or(implies(X2,sK58_skl),X3)))) ),
inference(resolution,[status(thm)],[f1772,f1148]) ).
fof(f4365,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(X0,or(implies(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1772,f664]) ).
fof(f4366,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(implies(X1,sK58_skl),X2))) ),
inference(paramodulation,[status(thm)],[f1045,f1772]) ).
fof(f4367,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(or(X1,sK58_skl),X2))) ),
inference(paramodulation,[status(thm)],[f1045,f1772]) ).
fof(f4368,definition,
! [X1,X2] :
( sQ207_spl
<=> is_a_theorem(or(implies(X1,sK58_skl),X2)) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f4369,plain,
! [X0,X1] :
( ~ sQ207_spl
| is_a_theorem(or(implies(X0,sK58_skl),X1)) ),
inference(component_clause,[status(thm)],[f4368]) ).
fof(f4371,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| sQ207_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4357,f1189,f4368,f1281,f742,f450,f384,f339]) ).
fof(f4372,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(and(or(X1,or(implies(X2,sK58_skl),X3)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1773,f698]) ).
fof(f4373,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,or(implies(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1773,f1569]) ).
fof(f4374,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(or(X1,or(implies(X2,sK58_skl),X3)),X0))) ),
inference(resolution,[status(thm)],[f1773,f2097]) ).
fof(f4375,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(X0,or(implies(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1773,f1574]) ).
fof(f4376,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(X0,or(implies(X1,sK58_skl),X2)),X3)) ),
inference(resolution,[status(thm)],[f1773,f1150]) ).
fof(f4377,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(X1,or(implies(X2,sK58_skl),X3)))) ),
inference(resolution,[status(thm)],[f1773,f1149]) ).
fof(f4378,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(X1,or(implies(X2,sK58_skl),X3)))) ),
inference(resolution,[status(thm)],[f1773,f1148]) ).
fof(f4379,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(X0,or(implies(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1773,f664]) ).
fof(f4381,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(or(X1,sK58_skl),X2))) ),
inference(paramodulation,[status(thm)],[f1045,f1773]) ).
fof(f4382,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(and(or(or(implies(X1,sK58_skl),X2),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1774,f698]) ).
fof(f4383,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| is_a_theorem(and(necessarily(sK58_skl),or(or(implies(X0,sK58_skl),X1),X2))) ),
inference(resolution,[status(thm)],[f1774,f1569]) ).
fof(f4384,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,and(or(or(implies(X1,sK58_skl),X2),X3),X0))) ),
inference(resolution,[status(thm)],[f1774,f2097]) ).
fof(f4385,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(or(implies(X0,sK58_skl),X1),X2))) ),
inference(resolution,[status(thm)],[f1774,f1574]) ).
fof(f4386,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(or(implies(X0,sK58_skl),X1),X2),X3)) ),
inference(resolution,[status(thm)],[f1774,f1150]) ).
fof(f4387,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,or(or(implies(X1,sK58_skl),X2),X3))) ),
inference(resolution,[status(thm)],[f1774,f1149]) ).
fof(f4388,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(X0,or(or(implies(X1,sK58_skl),X2),X3))) ),
inference(resolution,[status(thm)],[f1774,f1148]) ).
fof(f4389,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(or(or(implies(X0,sK58_skl),X1),X2))) ),
inference(resolution,[status(thm)],[f1774,f664]) ).
fof(f4390,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(or(or(X0,sK58_skl),X1),X2)) ),
inference(paramodulation,[status(thm)],[f1045,f1774]) ).
fof(f4391,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(or(or(sK58_skl,X1),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1828,f340]) ).
fof(f4392,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(and(implies(X1,or(or(sK58_skl,X2),X3)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1828,f698]) ).
fof(f4393,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,or(or(sK58_skl,X1),X2)))) ),
inference(resolution,[status(thm)],[f1828,f1569]) ).
fof(f4394,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,and(implies(X1,or(or(sK58_skl,X2),X3)),X0))) ),
inference(resolution,[status(thm)],[f1828,f2097]) ).
fof(f4395,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,implies(X0,or(or(sK58_skl,X1),X2)))) ),
inference(resolution,[status(thm)],[f1828,f1574]) ).
fof(f4396,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(or(implies(X0,or(or(sK58_skl,X1),X2)),X3)) ),
inference(resolution,[status(thm)],[f1828,f1150]) ).
fof(f4397,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,implies(X1,or(or(sK58_skl,X2),X3)))) ),
inference(resolution,[status(thm)],[f1828,f1149]) ).
fof(f4398,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,implies(X1,or(or(sK58_skl,X2),X3)))) ),
inference(resolution,[status(thm)],[f1828,f1148]) ).
fof(f4399,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(implies(X0,or(or(sK58_skl,X1),X2)))) ),
inference(resolution,[status(thm)],[f1828,f664]) ).
fof(f4400,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,or(or(sK58_skl,X1),X2))) ),
inference(paramodulation,[status(thm)],[f1045,f1828]) ).
fof(f4401,definition,
! [X1,X2] :
( sQ208_spl
<=> is_a_theorem(or(or(sK58_skl,X1),X2)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f4402,plain,
! [X0,X1] :
( ~ sQ208_spl
| is_a_theorem(or(or(sK58_skl,X0),X1)) ),
inference(component_clause,[status(thm)],[f4401]) ).
fof(f4404,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ99_spl
| sQ208_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4391,f1189,f4401,f701,f450,f384,f339]) ).
fof(f4409,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1139,f1165]) ).
fof(f4410,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1139,f1164]) ).
fof(f4411,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1139,f1213]) ).
fof(f4413,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(equiv(X0,not(X1)),or(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1139,f1240]) ).
fof(f4416,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(X0,not(X1)),or(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1139,f1127]) ).
fof(f4417,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ188_spl
| ~ is_a_theorem(not(implies(equiv(X0,not(X1)),or(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1139,f2574]) ).
fof(f4419,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1139,f440]) ).
fof(f4420,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,not(X1)),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1139,f418]) ).
fof(f4421,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,not(X1)),or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1139,f429]) ).
fof(f4422,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f1139,f1146]) ).
fof(f4430,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(and(or(X1,or(or(sK58_skl,X2),X3)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1829,f698]) ).
fof(f4431,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,or(or(sK58_skl,X1),X2)))) ),
inference(resolution,[status(thm)],[f1829,f1569]) ).
fof(f4432,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,and(or(X1,or(or(sK58_skl,X2),X3)),X0))) ),
inference(resolution,[status(thm)],[f1829,f2097]) ).
fof(f4433,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,or(X0,or(or(sK58_skl,X1),X2)))) ),
inference(resolution,[status(thm)],[f1829,f1574]) ).
fof(f4434,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| is_a_theorem(or(or(X0,or(or(sK58_skl,X1),X2)),X3)) ),
inference(resolution,[status(thm)],[f1829,f1150]) ).
fof(f4435,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,or(X1,or(or(sK58_skl,X2),X3)))) ),
inference(resolution,[status(thm)],[f1829,f1149]) ).
fof(f4436,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(X1,or(or(sK58_skl,X2),X3)))) ),
inference(resolution,[status(thm)],[f1829,f1148]) ).
fof(f4437,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(or(X0,or(or(sK58_skl,X1),X2)))) ),
inference(resolution,[status(thm)],[f1829,f664]) ).
fof(f4438,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(implies(possibly(X0),or(or(sK58_skl,X1),X2))) ),
inference(paramodulation,[status(thm)],[f1134,f1829]) ).
fof(f4439,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(and(or(or(or(sK58_skl,X1),X2),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1830,f698]) ).
fof(f4440,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(and(necessarily(sK58_skl),or(or(or(sK58_skl,X0),X1),X2))) ),
inference(resolution,[status(thm)],[f1830,f1569]) ).
fof(f4441,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,and(or(or(or(sK58_skl,X1),X2),X3),X0))) ),
inference(resolution,[status(thm)],[f1830,f2097]) ).
fof(f4442,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,or(or(or(sK58_skl,X0),X1),X2))) ),
inference(resolution,[status(thm)],[f1830,f1574]) ).
fof(f4443,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(or(or(or(or(sK58_skl,X0),X1),X2),X3)) ),
inference(resolution,[status(thm)],[f1830,f1150]) ).
fof(f4444,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,or(or(or(sK58_skl,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f1830,f1149]) ).
fof(f4445,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(or(or(sK58_skl,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f1830,f1148]) ).
fof(f4446,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(or(or(or(sK58_skl,X0),X1),X2))) ),
inference(resolution,[status(thm)],[f1830,f664]) ).
fof(f4447,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X1,sK58_skl),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1832,f340]) ).
fof(f4448,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X1,or(or(X2,sK58_skl),X3)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1832,f698]) ).
fof(f4449,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,or(or(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1832,f1569]) ).
fof(f4450,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(implies(X1,or(or(X2,sK58_skl),X3)),X0))) ),
inference(resolution,[status(thm)],[f1832,f2097]) ).
fof(f4451,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,implies(X0,or(or(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1832,f1574]) ).
fof(f4452,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(implies(X0,or(or(X1,sK58_skl),X2)),X3)) ),
inference(resolution,[status(thm)],[f1832,f1150]) ).
fof(f4453,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(X1,or(or(X2,sK58_skl),X3)))) ),
inference(resolution,[status(thm)],[f1832,f1149]) ).
fof(f4454,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(or(X2,sK58_skl),X3)))) ),
inference(resolution,[status(thm)],[f1832,f1148]) ).
fof(f4455,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(X0,or(or(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1832,f664]) ).
fof(f4456,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(or(X1,sK58_skl),X2))) ),
inference(paramodulation,[status(thm)],[f1045,f1832]) ).
fof(f4457,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(possibly(X1),sK58_skl),X2))) ),
inference(paramodulation,[status(thm)],[f1134,f1832]) ).
fof(f4458,definition,
! [X1,X2] :
( sQ209_spl
<=> is_a_theorem(or(or(X1,sK58_skl),X2)) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f4459,plain,
! [X0,X1] :
( ~ sQ209_spl
| is_a_theorem(or(or(X0,sK58_skl),X1)) ),
inference(component_clause,[status(thm)],[f4458]) ).
fof(f4461,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ31_spl
| sQ209_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4447,f1189,f4458,f450,f701,f642,f628,f384,f339]) ).
fof(f4462,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X1,or(or(X2,sK58_skl),X3)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1833,f698]) ).
fof(f4463,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,or(or(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1833,f1569]) ).
fof(f4464,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(or(X1,or(or(X2,sK58_skl),X3)),X0))) ),
inference(resolution,[status(thm)],[f1833,f2097]) ).
fof(f4465,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,or(X0,or(or(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1833,f1574]) ).
fof(f4466,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(or(X0,or(or(X1,sK58_skl),X2)),X3)) ),
inference(resolution,[status(thm)],[f1833,f1150]) ).
fof(f4467,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,or(or(X2,sK58_skl),X3)))) ),
inference(resolution,[status(thm)],[f1833,f1149]) ).
fof(f4468,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,or(or(X2,sK58_skl),X3)))) ),
inference(resolution,[status(thm)],[f1833,f1148]) ).
fof(f4469,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(X0,or(or(X1,sK58_skl),X2)))) ),
inference(resolution,[status(thm)],[f1833,f664]) ).
fof(f4471,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(possibly(X1),sK58_skl),X2))) ),
inference(paramodulation,[status(thm)],[f1134,f1833]) ).
fof(f4472,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(and(or(or(or(X1,sK58_skl),X2),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1834,f698]) ).
fof(f4473,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(and(necessarily(sK58_skl),or(or(or(X0,sK58_skl),X1),X2))) ),
inference(resolution,[status(thm)],[f1834,f1569]) ).
fof(f4474,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,and(or(or(or(X1,sK58_skl),X2),X3),X0))) ),
inference(resolution,[status(thm)],[f1834,f2097]) ).
fof(f4475,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(or(or(X0,sK58_skl),X1),X2))) ),
inference(resolution,[status(thm)],[f1834,f1574]) ).
fof(f4476,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(or(or(or(X0,sK58_skl),X1),X2),X3)) ),
inference(resolution,[status(thm)],[f1834,f1150]) ).
fof(f4477,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(or(or(X1,sK58_skl),X2),X3))) ),
inference(resolution,[status(thm)],[f1834,f1149]) ).
fof(f4478,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(or(or(X1,sK58_skl),X2),X3))) ),
inference(resolution,[status(thm)],[f1834,f1148]) ).
fof(f4479,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(or(or(X0,sK58_skl),X1),X2))) ),
inference(resolution,[status(thm)],[f1834,f664]) ).
fof(f4480,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(or(implies(possibly(X0),sK58_skl),X1),X2)) ),
inference(paramodulation,[status(thm)],[f1134,f1834]) ).
fof(f4484,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| is_a_theorem(implies(implies(X0,X1),and(sK58_skl,sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1133,f3126]) ).
fof(f4485,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(implies(implies(X0,X1),or(or(sK58_skl,X2),X3))) ),
inference(paramodulation,[status(thm)],[f1133,f1829]) ).
fof(f4488,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| is_a_theorem(implies(implies(X0,X1),or(necessarily(sK58_skl),X2))) ),
inference(paramodulation,[status(thm)],[f1133,f1637]) ).
fof(f4490,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),or(sK58_skl,X2)))) ),
inference(paramodulation,[status(thm)],[f1133,f1839]) ).
fof(f4491,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(implies(implies(X0,X1),or(sK58_skl,X2))) ),
inference(paramodulation,[status(thm)],[f1133,f1597]) ).
fof(f4493,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(implies(implies(X0,X1),or(X2,necessarily(sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1133,f1633]) ).
fof(f4497,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1133,f1213]) ).
fof(f4498,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1133,f1212]) ).
fof(f4499,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,X1),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1133,f1214]) ).
fof(f4500,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,X1),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1133,f1220]) ).
fof(f4501,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,X1),implies(X2,or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f1133,f1219]) ).
fof(f4511,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1133,f1136]) ).
fof(f4513,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,X1),necessarily(or(sK58_skl,X2)))) ),
inference(paramodulation,[status(thm)],[f1133,f1682]) ).
fof(f4516,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| is_a_theorem(implies(implies(X0,X1),necessarily(necessarily(sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1133,f1617]) ).
fof(f4517,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| is_a_theorem(or(implies(implies(X0,X1),necessarily(sK58_skl)),X2)) ),
inference(paramodulation,[status(thm)],[f1133,f1634]) ).
fof(f4518,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),necessarily(sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1133,f1633]) ).
fof(f4520,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),necessarily(sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1133,f1635]) ).
fof(f4521,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(implies(implies(X0,X1),necessarily(sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1133,f1566]) ).
fof(f4522,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(or(implies(implies(X0,X1),sK58_skl),X2),X3)) ),
inference(paramodulation,[status(thm)],[f1133,f1834]) ).
fof(f4523,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(implies(X1,X2),sK58_skl),X3))) ),
inference(paramodulation,[status(thm)],[f1133,f1833]) ).
fof(f4524,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(implies(X1,X2),sK58_skl),X3))) ),
inference(paramodulation,[status(thm)],[f1133,f1832]) ).
fof(f4525,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(implies(X0,implies(implies(X1,X2),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1133,f1863]) ).
fof(f4526,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,implies(implies(X1,X2),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1133,f1843]) ).
fof(f4527,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(implies(implies(X0,X1),sK58_skl),X2))) ),
inference(paramodulation,[status(thm)],[f1133,f1835]) ).
fof(f4528,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(implies(X0,X1),sK58_skl)),X2)) ),
inference(paramodulation,[status(thm)],[f1133,f1688]) ).
fof(f4529,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(implies(implies(X1,X2),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1133,f1687]) ).
fof(f4530,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,necessarily(implies(implies(X1,X2),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1133,f1686]) ).
fof(f4531,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,implies(implies(X0,X1),sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1133,f3113]) ).
fof(f4532,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(necessarily(implies(implies(X0,X1),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1133,f1689]) ).
fof(f4537,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(X0,X1),sK58_skl)) ),
inference(paramodulation,[status(thm)],[f1133,f1866]) ).
fof(f4540,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(and(X1,not(X2)),implies(implies(X1,X2),X3)))) ),
inference(paramodulation,[status(thm)],[f1133,f1169]) ).
fof(f4542,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(and(X1,not(X2)),implies(implies(X1,X2),X3)))) ),
inference(paramodulation,[status(thm)],[f1133,f1220]) ).
fof(f4543,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,X3),X1)))) ),
inference(paramodulation,[status(thm)],[f1133,f1219]) ).
fof(f4544,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(and(X0,not(X1)),implies(implies(X0,X1),X2)),X3)) ),
inference(paramodulation,[status(thm)],[f1133,f1247]) ).
fof(f4545,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,X2),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1133,f1246]) ).
fof(f4546,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(implies(X1,X2),X0)))) ),
inference(paramodulation,[status(thm)],[f1133,f1130]) ).
fof(f4547,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(and(X0,not(X1)),implies(implies(X0,X1),X2)))) ),
inference(paramodulation,[status(thm)],[f1133,f1126]) ).
fof(f4548,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ192_spl
| ~ is_a_theorem(not(implies(and(X0,not(X1)),implies(implies(X0,X1),X2)))) ),
inference(paramodulation,[status(thm)],[f1133,f2590]) ).
fof(f4549,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ191_spl
| ~ is_a_theorem(not(implies(X0,implies(implies(X1,X2),X0)))) ),
inference(paramodulation,[status(thm)],[f1133,f2586]) ).
fof(f4550,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f1133,f462]) ).
fof(f4551,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(implies(X0,X1),X2))) ),
inference(paramodulation,[status(thm)],[f1133,f451]) ).
fof(f4552,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),X2),implies(implies(X3,X2),implies(implies(implies(X0,X1),X3),X2)))) ),
inference(paramodulation,[status(thm)],[f1133,f473]) ).
fof(f4566,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X1,or(sK58_skl,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1836,f340]) ).
fof(f4567,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X1,or(X2,or(sK58_skl,X3))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1836,f698]) ).
fof(f4568,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,or(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1836,f1569]) ).
fof(f4569,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(implies(X1,or(X2,or(sK58_skl,X3))),X0))) ),
inference(resolution,[status(thm)],[f1836,f2097]) ).
fof(f4570,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,implies(X0,or(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1836,f1574]) ).
fof(f4571,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ99_spl
| is_a_theorem(or(implies(X0,or(X1,or(sK58_skl,X2))),X3)) ),
inference(resolution,[status(thm)],[f1836,f1150]) ).
fof(f4572,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(X1,or(X2,or(sK58_skl,X3))))) ),
inference(resolution,[status(thm)],[f1836,f1149]) ).
fof(f4573,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,or(sK58_skl,X3))))) ),
inference(resolution,[status(thm)],[f1836,f1148]) ).
fof(f4574,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(X0,or(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1836,f664]) ).
fof(f4578,definition,
! [X1,X2] :
( sQ210_spl
<=> is_a_theorem(or(X1,or(sK58_skl,X2))) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f4579,plain,
! [X0,X1] :
( ~ sQ210_spl
| is_a_theorem(or(X0,or(sK58_skl,X1))) ),
inference(component_clause,[status(thm)],[f4578]) ).
fof(f4581,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| sQ210_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4566,f1189,f4578,f450,f701,f461,f384,f339]) ).
fof(f4582,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X1,or(X2,or(sK58_skl,X3))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1837,f698]) ).
fof(f4583,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,or(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1837,f1569]) ).
fof(f4584,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(or(X1,or(X2,or(sK58_skl,X3))),X0))) ),
inference(resolution,[status(thm)],[f1837,f2097]) ).
fof(f4585,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,or(X0,or(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1837,f1574]) ).
fof(f4586,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| is_a_theorem(or(or(X0,or(X1,or(sK58_skl,X2))),X3)) ),
inference(resolution,[status(thm)],[f1837,f1150]) ).
fof(f4587,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,or(X2,or(sK58_skl,X3))))) ),
inference(resolution,[status(thm)],[f1837,f1149]) ).
fof(f4588,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,or(X2,or(sK58_skl,X3))))) ),
inference(resolution,[status(thm)],[f1837,f1148]) ).
fof(f4589,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(X0,or(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1837,f664]) ).
fof(f4590,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,X1),or(X2,or(sK58_skl,X3)))) ),
inference(paramodulation,[status(thm)],[f1133,f1837]) ).
fof(f4591,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(possibly(X0),or(X1,or(sK58_skl,X2)))) ),
inference(paramodulation,[status(thm)],[f1134,f1837]) ).
fof(f4592,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),or(sK58_skl,X3)))) ),
inference(paramodulation,[status(thm)],[f1133,f1837]) ).
fof(f4593,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(possibly(X1),or(sK58_skl,X2)))) ),
inference(paramodulation,[status(thm)],[f1134,f1837]) ).
fof(f4594,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| is_a_theorem(and(or(or(X1,or(sK58_skl,X2)),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1838,f698]) ).
fof(f4595,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| is_a_theorem(and(necessarily(sK58_skl),or(or(X0,or(sK58_skl,X1)),X2))) ),
inference(resolution,[status(thm)],[f1838,f1569]) ).
fof(f4596,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,and(or(or(X1,or(sK58_skl,X2)),X3),X0))) ),
inference(resolution,[status(thm)],[f1838,f2097]) ).
fof(f4597,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,or(or(X0,or(sK58_skl,X1)),X2))) ),
inference(resolution,[status(thm)],[f1838,f1574]) ).
fof(f4598,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| is_a_theorem(or(or(or(X0,or(sK58_skl,X1)),X2),X3)) ),
inference(resolution,[status(thm)],[f1838,f1150]) ).
fof(f4599,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,or(or(X1,or(sK58_skl,X2)),X3))) ),
inference(resolution,[status(thm)],[f1838,f1149]) ).
fof(f4600,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(or(X1,or(sK58_skl,X2)),X3))) ),
inference(resolution,[status(thm)],[f1838,f1148]) ).
fof(f4601,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(or(or(X0,or(sK58_skl,X1)),X2))) ),
inference(resolution,[status(thm)],[f1838,f664]) ).
fof(f4602,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| is_a_theorem(or(implies(implies(X0,X1),or(sK58_skl,X2)),X3)) ),
inference(paramodulation,[status(thm)],[f1133,f1838]) ).
fof(f4603,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| is_a_theorem(or(implies(possibly(X0),or(sK58_skl,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1134,f1838]) ).
fof(f4604,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ34_spl
| is_a_theorem(or(X1,or(X2,sK58_skl)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1840,f340]) ).
fof(f4605,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X1,or(X2,or(X3,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1840,f698]) ).
fof(f4606,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ34_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,or(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1840,f1569]) ).
fof(f4607,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,and(implies(X1,or(X2,or(X3,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f1840,f2097]) ).
fof(f4608,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,implies(X0,or(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1840,f1574]) ).
fof(f4609,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,or(X1,or(X2,sK58_skl))),X3)) ),
inference(resolution,[status(thm)],[f1840,f1150]) ).
fof(f4610,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,implies(X1,or(X2,or(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1840,f1149]) ).
fof(f4611,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,or(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1840,f1148]) ).
fof(f4612,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,or(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1840,f664]) ).
fof(f4616,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(implies(X2,X3),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1133,f1840]) ).
fof(f4617,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(possibly(X2),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1840]) ).
fof(f4618,definition,
! [X1,X2] :
( sQ211_spl
<=> is_a_theorem(or(X1,or(X2,sK58_skl))) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f4619,plain,
! [X0,X1] :
( ~ sQ211_spl
| is_a_theorem(or(X0,or(X1,sK58_skl))) ),
inference(component_clause,[status(thm)],[f4618]) ).
fof(f4621,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ34_spl
| sQ211_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4604,f1189,f4618,f461,f701,f642,f628,f384,f339]) ).
fof(f4622,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X1,or(X2,or(X3,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1841,f698]) ).
fof(f4623,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,or(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1841,f1569]) ).
fof(f4624,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,and(or(X1,or(X2,or(X3,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f1841,f2097]) ).
fof(f4625,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(and(sK58_skl,or(X0,or(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1841,f1574]) ).
fof(f4626,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(or(X0,or(X1,or(X2,sK58_skl))),X3)) ),
inference(resolution,[status(thm)],[f1841,f1150]) ).
fof(f4627,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,or(X2,or(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1841,f1149]) ).
fof(f4628,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(X1,or(X2,or(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1841,f1148]) ).
fof(f4629,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(X0,or(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1841,f664]) ).
fof(f4634,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,implies(implies(X2,X3),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1133,f1841]) ).
fof(f4635,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,implies(possibly(X2),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1841]) ).
fof(f4636,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| or(X0,necessarily(not(X1))) = not(and(not(X0),possibly(X1))) ),
inference(paramodulation,[status(thm)],[f1045,f1124]) ).
fof(f4639,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,not(and(and(X1,necessarily(not(X2))),possibly(X2))))) ),
inference(paramodulation,[status(thm)],[f1124,f1165]) ).
fof(f4640,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,not(and(and(necessarily(not(X1)),X2),possibly(X1))))) ),
inference(paramodulation,[status(thm)],[f1124,f1164]) ).
fof(f4641,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,not(and(and(X1,necessarily(not(X2))),possibly(X2))))) ),
inference(paramodulation,[status(thm)],[f1124,f1213]) ).
fof(f4642,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,not(and(and(necessarily(not(X1)),X2),possibly(X1))))) ),
inference(paramodulation,[status(thm)],[f1124,f1212]) ).
fof(f4643,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(not(and(and(X0,necessarily(not(X1))),possibly(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1124,f1240]) ).
fof(f4644,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(not(and(and(necessarily(not(X0)),X1),possibly(X0))),X2)) ),
inference(paramodulation,[status(thm)],[f1124,f1239]) ).
fof(f4645,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(not(and(and(necessarily(not(X0)),X1),possibly(X0))))) ),
inference(paramodulation,[status(thm)],[f1124,f1131]) ).
fof(f4646,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(not(and(and(X0,necessarily(not(X1))),possibly(X1))))) ),
inference(paramodulation,[status(thm)],[f1124,f1127]) ).
fof(f4647,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ188_spl
| ~ is_a_theorem(not(not(and(and(X0,necessarily(not(X1))),possibly(X1))))) ),
inference(paramodulation,[status(thm)],[f1124,f2574]) ).
fof(f4648,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ187_spl
| ~ is_a_theorem(not(not(and(and(necessarily(not(X0)),X1),possibly(X0))))) ),
inference(paramodulation,[status(thm)],[f1124,f2570]) ).
fof(f4649,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ22_spl
| is_a_theorem(not(and(and(necessarily(not(X0)),X1),possibly(X0)))) ),
inference(paramodulation,[status(thm)],[f1124,f418]) ).
fof(f4650,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ25_spl
| is_a_theorem(not(and(and(X0,necessarily(not(X1))),possibly(X1)))) ),
inference(paramodulation,[status(thm)],[f1124,f429]) ).
fof(f4651,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,necessarily(not(X1))),implies(implies(X2,necessarily(not(X1))),not(and(or(X0,X2),possibly(X1)))))) ),
inference(paramodulation,[status(thm)],[f1124,f473]) ).
fof(f4652,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(implies(X0,not(X1))),not(and(necessarily(X0),possibly(X1))))) ),
inference(paramodulation,[status(thm)],[f1124,f732]) ).
fof(f4653,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ172_spl
| is_a_theorem(and(sK58_skl,not(and(necessarily(necessarily(not(X0))),possibly(X0))))) ),
inference(paramodulation,[status(thm)],[f1124,f3094]) ).
fof(f4654,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(necessarily(not(and(necessarily(necessarily(not(X0))),possibly(X0)))))) ),
inference(paramodulation,[status(thm)],[f1124,f1143]) ).
fof(f4655,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ184_spl
| ~ is_a_theorem(not(necessarily(not(and(necessarily(necessarily(not(X0))),possibly(X0)))))) ),
inference(paramodulation,[status(thm)],[f1124,f2559]) ).
fof(f4656,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,not(and(necessarily(necessarily(not(X1))),possibly(X1))))) ),
inference(paramodulation,[status(thm)],[f1124,f1166]) ).
fof(f4657,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,not(and(necessarily(necessarily(not(X1))),possibly(X1))))) ),
inference(paramodulation,[status(thm)],[f1124,f1214]) ).
fof(f4658,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(not(and(necessarily(necessarily(not(X0))),possibly(X0))),X1)) ),
inference(paramodulation,[status(thm)],[f1124,f1241]) ).
fof(f4659,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(not(and(necessarily(necessarily(not(X0))),possibly(X0))))) ),
inference(paramodulation,[status(thm)],[f1124,f1119]) ).
fof(f4660,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(not(and(necessarily(necessarily(not(X0))),possibly(X0))))) ),
inference(paramodulation,[status(thm)],[f1124,f2578]) ).
fof(f4661,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ110_spl
| is_a_theorem(not(and(necessarily(necessarily(not(X0))),possibly(X0)))) ),
inference(paramodulation,[status(thm)],[f1124,f743]) ).
fof(f4663,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(necessarily(not(X1)),not(and(X2,possibly(X1)))))) ),
inference(paramodulation,[status(thm)],[f1124,f1167]) ).
fof(f4664,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(necessarily(not(X1)),not(and(X2,possibly(X1)))))) ),
inference(paramodulation,[status(thm)],[f1124,f1218]) ).
fof(f4665,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(necessarily(not(X0)),not(and(X1,possibly(X0)))),X2)) ),
inference(paramodulation,[status(thm)],[f1124,f1245]) ).
fof(f4666,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(necessarily(not(X0)),not(and(X1,possibly(X0)))))) ),
inference(paramodulation,[status(thm)],[f1124,f1129]) ).
fof(f4667,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ190_spl
| ~ is_a_theorem(not(implies(necessarily(not(X0)),not(and(X1,possibly(X0)))))) ),
inference(paramodulation,[status(thm)],[f1124,f2582]) ).
fof(f4668,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(not(and(X0,possibly(X1)))),implies(necessarily(X0),necessarily(necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1124,f732]) ).
fof(f4669,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(X0,necessarily(not(X1))),not(and(X0,possibly(X1))))) ),
inference(paramodulation,[status(thm)],[f1124,f484]) ).
fof(f4670,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(necessarily(not(X0)),X1),not(and(X1,possibly(X0))))) ),
inference(paramodulation,[status(thm)],[f1124,f495]) ).
fof(f4672,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,necessarily(not(X2))),not(and(X0,possibly(X2)))))) ),
inference(paramodulation,[status(thm)],[f1124,f407]) ).
fof(f4673,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,possibly(X2))),implies(X0,necessarily(not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1124,f407]) ).
fof(f4674,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(not(and(X0,possibly(X1))),implies(implies(necessarily(not(X1)),X2),implies(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f1124,f407]) ).
fof(f4675,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(necessarily(not(X0)),not(and(X1,possibly(X0))))) ),
inference(paramodulation,[status(thm)],[f1124,f385]) ).
fof(f4676,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,necessarily(not(X1))),implies(not(and(X2,possibly(X1))),implies(or(X0,X2),necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1124,f473]) ).
fof(f4677,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(and(X0,possibly(X1))),implies(implies(X2,necessarily(not(X1))),implies(or(X0,X2),necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1124,f473]) ).
fof(f4678,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(necessarily(not(X0)),X1),implies(not(and(X1,possibly(X0))),equiv(necessarily(not(X0)),X1)))) ),
inference(paramodulation,[status(thm)],[f1124,f506]) ).
fof(f4679,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(not(and(X0,possibly(X1))),implies(implies(necessarily(not(X1)),X0),equiv(X0,necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1124,f506]) ).
fof(f4680,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,implies(X0,necessarily(not(X1)))),not(and(X0,possibly(X1))))) ),
inference(paramodulation,[status(thm)],[f1124,f396]) ).
fof(f4682,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(not(X1)))
| ~ is_a_theorem(not(and(X0,possibly(X1))))
| ~ is_a_theorem(X0) ),
inference(paramodulation,[status(thm)],[f1124,f340]) ).
fof(f4683,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(necessarily(not(X0)),X1) = and(implies(necessarily(not(X0)),X1),not(and(X1,possibly(X0)))) ),
inference(paramodulation,[status(thm)],[f1124,f657]) ).
fof(f4684,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(X0,necessarily(not(X1))) = and(not(and(X0,possibly(X1))),implies(necessarily(not(X1)),X0)) ),
inference(paramodulation,[status(thm)],[f1124,f657]) ).
fof(f4688,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(and(X0,possibly(X1))),implies(implies(X2,necessarily(not(X1))),not(and(or(X0,X2),possibly(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1124,f4651]) ).
fof(f4689,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(implies(X2,necessarily(not(X1))),not(and(or(X0,X2),possibly(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1045,f4688]) ).
fof(f4690,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(not(and(X2,possibly(X1))),not(and(or(X0,X2),possibly(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1124,f4689]) ).
fof(f4691,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,possibly(X1)),or(and(X2,possibly(X1)),not(and(or(X0,X2),possibly(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1045,f4690]) ).
fof(f4692,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ184_spl
| ~ is_a_theorem(possibly(and(necessarily(necessarily(not(X0))),possibly(X0)))) ),
inference(forward_demodulation,[status(thm)],[f941,f4655]) ).
fof(f4694,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,possibly(X2))),not(and(X0,possibly(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1124,f4672]) ).
fof(f4695,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(X0,X1),or(and(X1,possibly(X2)),not(and(X0,possibly(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1045,f4694]) ).
fof(f4698,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(implies(necessarily(not(X1)),X2),implies(X0,X2)))) ),
inference(forward_demodulation,[status(thm)],[f1045,f4674]) ).
fof(f4699,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(and(X0,possibly(X1))),implies(not(and(X2,possibly(X1))),implies(or(X0,X2),necessarily(not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1124,f4676]) ).
fof(f4707,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(necessarily(not(X0)),X1),or(and(X1,possibly(X0)),equiv(necessarily(not(X0)),X1)))) ),
inference(forward_demodulation,[status(thm)],[f1045,f4678]) ).
fof(f4708,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(implies(necessarily(not(X1)),X0),equiv(X0,necessarily(not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1045,f4679]) ).
fof(f4709,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,not(and(X0,possibly(X1)))),not(and(X0,possibly(X1))))) ),
inference(forward_demodulation,[status(thm)],[f1124,f4680]) ).
fof(f4711,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(and(or(or(X1,or(X2,sK58_skl)),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1842,f698]) ).
fof(f4712,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(and(necessarily(sK58_skl),or(or(X0,or(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1842,f1569]) ).
fof(f4713,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,and(or(or(X1,or(X2,sK58_skl)),X3),X0))) ),
inference(resolution,[status(thm)],[f1842,f2097]) ).
fof(f4714,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(and(sK58_skl,or(or(X0,or(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1842,f1574]) ).
fof(f4715,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(or(or(X0,or(X1,sK58_skl)),X2),X3)) ),
inference(resolution,[status(thm)],[f1842,f1150]) ).
fof(f4716,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(or(X1,or(X2,sK58_skl)),X3))) ),
inference(resolution,[status(thm)],[f1842,f1149]) ).
fof(f4717,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(or(X1,or(X2,sK58_skl)),X3))) ),
inference(resolution,[status(thm)],[f1842,f1148]) ).
fof(f4718,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(or(X0,or(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1842,f664]) ).
fof(f4721,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(implies(X1,X2),sK58_skl)),X3)) ),
inference(paramodulation,[status(thm)],[f1133,f1842]) ).
fof(f4722,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(possibly(X1),sK58_skl)),X2)) ),
inference(paramodulation,[status(thm)],[f1134,f1842]) ).
fof(f4723,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK58_skl))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1845,f340]) ).
fof(f4724,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(and(implies(X1,necessarily(necessarily(necessarily(sK58_skl)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1845,f698]) ).
fof(f4725,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1845,f1569]) ).
fof(f4726,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,and(implies(X1,necessarily(necessarily(necessarily(sK58_skl)))),X0))) ),
inference(resolution,[status(thm)],[f1845,f2097]) ).
fof(f4727,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,implies(X0,necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1845,f1574]) ).
fof(f4728,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(implies(X0,necessarily(necessarily(necessarily(sK58_skl)))),X1)) ),
inference(resolution,[status(thm)],[f1845,f1150]) ).
fof(f4729,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,implies(X1,necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1845,f1149]) ).
fof(f4730,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1845,f1148]) ).
fof(f4731,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(implies(X0,necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1845,f664]) ).
fof(f4732,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,necessarily(necessarily(necessarily(sK58_skl))))) ),
inference(paramodulation,[status(thm)],[f1045,f1845]) ).
fof(f4733,definition,
( sQ212_spl
<=> is_a_theorem(necessarily(necessarily(necessarily(sK58_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f4734,plain,
( ~ sQ212_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK58_skl)))) ),
inference(component_clause,[status(thm)],[f4733]) ).
fof(f4736,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ99_spl
| sQ212_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4723,f1189,f4733,f701,f663,f384,f339]) ).
fof(f4737,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(and(or(X1,necessarily(necessarily(necessarily(sK58_skl)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1846,f698]) ).
fof(f4738,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1846,f1569]) ).
fof(f4739,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,and(or(X1,necessarily(necessarily(necessarily(sK58_skl)))),X0))) ),
inference(resolution,[status(thm)],[f1846,f2097]) ).
fof(f4740,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,or(X0,necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1846,f1574]) ).
fof(f4741,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(or(X0,necessarily(necessarily(necessarily(sK58_skl)))),X1)) ),
inference(resolution,[status(thm)],[f1846,f1150]) ).
fof(f4742,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,or(X1,necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1846,f1149]) ).
fof(f4743,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(X1,necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1846,f1148]) ).
fof(f4744,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(or(X0,necessarily(necessarily(necessarily(sK58_skl)))))) ),
inference(resolution,[status(thm)],[f1846,f664]) ).
fof(f4745,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(implies(implies(X0,X1),necessarily(necessarily(necessarily(sK58_skl))))) ),
inference(paramodulation,[status(thm)],[f1133,f1846]) ).
fof(f4746,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(implies(possibly(X0),necessarily(necessarily(necessarily(sK58_skl))))) ),
inference(paramodulation,[status(thm)],[f1134,f1846]) ).
fof(f4747,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(and(or(necessarily(necessarily(necessarily(sK58_skl))),X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1847,f698]) ).
fof(f4748,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(and(necessarily(sK58_skl),or(necessarily(necessarily(necessarily(sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f1847,f1569]) ).
fof(f4749,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,and(or(necessarily(necessarily(necessarily(sK58_skl))),X1),X0))) ),
inference(resolution,[status(thm)],[f1847,f2097]) ).
fof(f4750,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,or(necessarily(necessarily(necessarily(sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f1847,f1574]) ).
fof(f4751,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(or(necessarily(necessarily(necessarily(sK58_skl))),X0),X1)) ),
inference(resolution,[status(thm)],[f1847,f1150]) ).
fof(f4752,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,or(necessarily(necessarily(necessarily(sK58_skl))),X1))) ),
inference(resolution,[status(thm)],[f1847,f1149]) ).
fof(f4753,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(necessarily(necessarily(necessarily(sK58_skl))),X1))) ),
inference(resolution,[status(thm)],[f1847,f1148]) ).
fof(f4754,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(or(necessarily(necessarily(necessarily(sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f1847,f664]) ).
fof(f4755,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X1,or(sK58_skl,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1850,f340]) ).
fof(f4756,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X1,implies(X2,or(sK58_skl,X3))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1850,f698]) ).
fof(f4757,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,implies(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1850,f1569]) ).
fof(f4758,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,or(sK58_skl,X3))),X0))) ),
inference(resolution,[status(thm)],[f1850,f2097]) ).
fof(f4759,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,implies(X0,implies(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1850,f1574]) ).
fof(f4760,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(or(implies(X0,implies(X1,or(sK58_skl,X2))),X3)) ),
inference(resolution,[status(thm)],[f1850,f1150]) ).
fof(f4761,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,or(sK58_skl,X3))))) ),
inference(resolution,[status(thm)],[f1850,f1149]) ).
fof(f4762,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,or(sK58_skl,X3))))) ),
inference(resolution,[status(thm)],[f1850,f1148]) ).
fof(f4763,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1850,f664]) ).
fof(f4764,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(X1,or(sK58_skl,X2)))) ),
inference(paramodulation,[status(thm)],[f1045,f1850]) ).
fof(f4765,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,or(sK58_skl,X2)))) ),
inference(paramodulation,[status(thm)],[f1045,f1850]) ).
fof(f4766,definition,
! [X1,X2] :
( sQ213_spl
<=> is_a_theorem(implies(X1,or(sK58_skl,X2))) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f4767,plain,
! [X0,X1] :
( ~ sQ213_spl
| is_a_theorem(implies(X0,or(sK58_skl,X1))) ),
inference(component_clause,[status(thm)],[f4766]) ).
fof(f4769,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| sQ213_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4755,f1189,f4766,f450,f701,f384,f339]) ).
fof(f4772,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ119_spl
| is_a_theorem(implies(possibly(and(X0,not(X1))),necessarily(not(necessarily(implies(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1125,f776]) ).
fof(f4773,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ119_spl
| is_a_theorem(implies(not(necessarily(implies(X0,X1))),necessarily(possibly(and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1125,f776]) ).
fof(f4776,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ119_spl
| is_a_theorem(not(and(possibly(and(X0,not(X1))),possibly(necessarily(implies(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1124,f4772]) ).
fof(f4777,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ119_spl
| is_a_theorem(not(and(not(necessarily(implies(X0,X1))),possibly(necessarily(implies(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1125,f4776]) ).
fof(f4778,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ119_spl
| ~ sQ79_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),necessarily(not(necessarily(implies(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f4636,f4777]) ).
fof(f4781,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X1,implies(X2,or(sK58_skl,X3))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1851,f698]) ).
fof(f4782,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,implies(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1851,f1569]) ).
fof(f4783,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,or(sK58_skl,X3))),X0))) ),
inference(resolution,[status(thm)],[f1851,f2097]) ).
fof(f4784,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(sK58_skl,or(X0,implies(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1851,f1574]) ).
fof(f4785,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(or(or(X0,implies(X1,or(sK58_skl,X2))),X3)) ),
inference(resolution,[status(thm)],[f1851,f1150]) ).
fof(f4786,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,implies(X2,or(sK58_skl,X3))))) ),
inference(resolution,[status(thm)],[f1851,f1149]) ).
fof(f4787,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,or(sK58_skl,X3))))) ),
inference(resolution,[status(thm)],[f1851,f1148]) ).
fof(f4788,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(X0,implies(X1,or(sK58_skl,X2))))) ),
inference(resolution,[status(thm)],[f1851,f664]) ).
fof(f4792,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(and(or(implies(X1,or(sK58_skl,X2)),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1852,f698]) ).
fof(f4793,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(and(necessarily(sK58_skl),or(implies(X0,or(sK58_skl,X1)),X2))) ),
inference(resolution,[status(thm)],[f1852,f1569]) ).
fof(f4794,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,and(or(implies(X1,or(sK58_skl,X2)),X3),X0))) ),
inference(resolution,[status(thm)],[f1852,f2097]) ).
fof(f4795,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,or(implies(X0,or(sK58_skl,X1)),X2))) ),
inference(resolution,[status(thm)],[f1852,f1574]) ).
fof(f4796,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(or(or(implies(X0,or(sK58_skl,X1)),X2),X3)) ),
inference(resolution,[status(thm)],[f1852,f1150]) ).
fof(f4797,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,or(implies(X1,or(sK58_skl,X2)),X3))) ),
inference(resolution,[status(thm)],[f1852,f1149]) ).
fof(f4798,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(implies(X1,or(sK58_skl,X2)),X3))) ),
inference(resolution,[status(thm)],[f1852,f1148]) ).
fof(f4799,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(or(implies(X0,or(sK58_skl,X1)),X2))) ),
inference(resolution,[status(thm)],[f1852,f664]) ).
fof(f4800,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(or(or(X0,or(sK58_skl,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1045,f1852]) ).
fof(f4801,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X1,or(X2,sK58_skl)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1860,f340]) ).
fof(f4802,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(and(implies(X1,implies(X2,or(X3,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1860,f698]) ).
fof(f4803,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(and(necessarily(sK58_skl),implies(X0,implies(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1860,f1569]) ).
fof(f4804,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,or(X3,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f1860,f2097]) ).
fof(f4805,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,implies(X0,implies(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1860,f1574]) ).
fof(f4806,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(implies(X0,implies(X1,or(X2,sK58_skl))),X3)) ),
inference(resolution,[status(thm)],[f1860,f1150]) ).
fof(f4807,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,or(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1860,f1149]) ).
fof(f4808,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,or(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1860,f1148]) ).
fof(f4809,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1860,f664]) ).
fof(f4810,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,implies(X1,or(X2,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1860]) ).
fof(f4811,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(X1,or(X2,sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1045,f1860]) ).
fof(f4812,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1133,f1860]) ).
fof(f4813,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,implies(X1,implies(possibly(X2),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1860]) ).
fof(f4814,definition,
! [X1,X2] :
( sQ214_spl
<=> is_a_theorem(implies(X1,or(X2,sK58_skl))) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f4815,plain,
! [X0,X1] :
( ~ sQ214_spl
| is_a_theorem(implies(X0,or(X1,sK58_skl))) ),
inference(component_clause,[status(thm)],[f4814]) ).
fof(f4817,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| sQ214_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4801,f1189,f4814,f701,f642,f628,f384,f339]) ).
fof(f4818,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(and(or(X1,implies(X2,or(X3,sK58_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1861,f698]) ).
fof(f4819,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(and(necessarily(sK58_skl),or(X0,implies(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1861,f1569]) ).
fof(f4820,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,or(X3,sK58_skl))),X0))) ),
inference(resolution,[status(thm)],[f1861,f2097]) ).
fof(f4821,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,or(X0,implies(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1861,f1574]) ).
fof(f4822,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(or(X0,implies(X1,or(X2,sK58_skl))),X3)) ),
inference(resolution,[status(thm)],[f1861,f1150]) ).
fof(f4823,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,or(X1,implies(X2,or(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1861,f1149]) ).
fof(f4824,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,or(X3,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1861,f1148]) ).
fof(f4825,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(or(X0,implies(X1,or(X2,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1861,f664]) ).
fof(f4829,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,X3),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1133,f1861]) ).
fof(f4830,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,implies(X1,implies(possibly(X2),sK58_skl)))) ),
inference(paramodulation,[status(thm)],[f1134,f1861]) ).
fof(f4831,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(and(or(implies(X1,or(X2,sK58_skl)),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1862,f698]) ).
fof(f4832,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(and(necessarily(sK58_skl),or(implies(X0,or(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1862,f1569]) ).
fof(f4833,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,and(or(implies(X1,or(X2,sK58_skl)),X3),X0))) ),
inference(resolution,[status(thm)],[f1862,f2097]) ).
fof(f4834,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(and(sK58_skl,or(implies(X0,or(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1862,f1574]) ).
fof(f4835,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(or(implies(X0,or(X1,sK58_skl)),X2),X3)) ),
inference(resolution,[status(thm)],[f1862,f1150]) ).
fof(f4836,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(or(X0,or(implies(X1,or(X2,sK58_skl)),X3))) ),
inference(resolution,[status(thm)],[f1862,f1149]) ).
fof(f4837,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(implies(X1,or(X2,sK58_skl)),X3))) ),
inference(resolution,[status(thm)],[f1862,f1148]) ).
fof(f4838,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(or(implies(X0,or(X1,sK58_skl)),X2))) ),
inference(resolution,[status(thm)],[f1862,f664]) ).
fof(f4839,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(or(or(X0,or(X1,sK58_skl)),X2)) ),
inference(paramodulation,[status(thm)],[f1045,f1862]) ).
fof(f4840,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,X2),sK58_skl)),X3)) ),
inference(paramodulation,[status(thm)],[f1133,f1862]) ).
fof(f4841,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(or(implies(X0,implies(possibly(X1),sK58_skl)),X2)) ),
inference(paramodulation,[status(thm)],[f1134,f1862]) ).
fof(f4842,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(and(sK58_skl,sK58_skl))) ),
inference(resolution,[status(thm)],[f1151,f3125]) ).
fof(f4843,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(or(sK58_skl,X0),X1))) ),
inference(resolution,[status(thm)],[f1151,f1830]) ).
fof(f4844,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(or(X0,sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f1151,f1834]) ).
fof(f4845,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(implies(X0,sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f1151,f1774]) ).
fof(f4846,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(or(necessarily(sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f1151,f1638]) ).
fof(f4847,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(or(sK58_skl,X0))) ),
inference(resolution,[status(thm)],[f1151,f1598]) ).
fof(f4848,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(X0,or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1151,f1838]) ).
fof(f4849,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(X0,or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1151,f1842]) ).
fof(f4850,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(X0,implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1151,f1769]) ).
fof(f4851,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(or(X0,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1151,f1634]) ).
fof(f4852,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(or(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f1151,f1776]) ).
fof(f4856,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(X0,or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1151,f1852]) ).
fof(f4857,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(X0,or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1151,f1862]) ).
fof(f4860,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(X0,implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1151,f1759]) ).
fof(f4862,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(X0,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1151,f1628]) ).
fof(f4863,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f1151,f1578]) ).
fof(f4864,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(necessarily(or(sK58_skl,X0)))) ),
inference(resolution,[status(thm)],[f1151,f1683]) ).
fof(f4865,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(necessarily(or(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1151,f1688]) ).
fof(f4866,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(necessarily(implies(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1151,f1643]) ).
fof(f4867,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(necessarily(necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1151,f1847]) ).
fof(f4868,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1151,f1618]) ).
fof(f4869,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1151,f1567]) ).
fof(f4870,plain,
! [X0] :
( ~ sQ180_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(sK58_skl)) ),
inference(resolution,[status(thm)],[f1151,f1856]) ).
fof(f4871,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ28_spl
| is_a_theorem(and(sK58_skl,not(X0)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f3633]) ).
fof(f4872,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(sK58_skl,sK58_skl))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f3126]) ).
fof(f4873,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(or(sK58_skl,X1),X2))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1829]) ).
fof(f4874,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X1,sK58_skl),X2))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1833]) ).
fof(f4875,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(implies(X1,sK58_skl),X2))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1773]) ).
fof(f4876,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(necessarily(sK58_skl),X1))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1637]) ).
fof(f4878,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(sK58_skl,X1))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1597]) ).
fof(f4879,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X1,or(sK58_skl,X2)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1837]) ).
fof(f4880,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X1,or(X2,sK58_skl)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1841]) ).
fof(f4881,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X1,implies(X2,sK58_skl)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1768]) ).
fof(f4882,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X1,necessarily(sK58_skl)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1633]) ).
fof(f4884,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| is_a_theorem(or(X1,sK58_skl))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1771]) ).
fof(f4888,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X1,or(sK58_skl,X2)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1851]) ).
fof(f4889,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X1,or(X2,sK58_skl)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1861]) ).
fof(f4892,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X1,implies(X2,sK58_skl)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1758]) ).
fof(f4894,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X1,necessarily(sK58_skl)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1627]) ).
fof(f4896,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X1,sK58_skl))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1577]) ).
fof(f4897,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(or(sK58_skl,X1)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1682]) ).
fof(f4898,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(X1,sK58_skl)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1687]) ).
fof(f4899,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(implies(X1,sK58_skl)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1642]) ).
fof(f4900,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK58_skl))))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1846]) ).
fof(f4901,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(necessarily(sK58_skl)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1617]) ).
fof(f4903,plain,
! [X0] :
( ~ sQ181_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(sK58_skl)
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1151,f1866]) ).
fof(f4906,definition,
( sQ215_spl
<=> is_a_theorem(not(and(sK58_skl,sK58_skl))) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f4909,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f4842,f4906,f2561,f642,f628,f697,f1281,f742,f339,f450]) ).
fof(f4910,definition,
! [X0,X1] :
( sQ216_spl
<=> ~ is_a_theorem(not(or(or(sK58_skl,X0),X1))) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f4913,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f4843,f4910,f2561,f642,f628,f701,f339,f450]) ).
fof(f4914,definition,
! [X0,X1] :
( sQ217_spl
<=> ~ is_a_theorem(not(or(or(X0,sK58_skl),X1))) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f4917,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| sQ185_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f4844,f4914,f2561,f384,f701,f642,f628,f339,f450]) ).
fof(f4918,definition,
! [X0,X1] :
( sQ218_spl
<=> ~ is_a_theorem(not(or(implies(X0,sK58_skl),X1))) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f4921,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f4845,f4918,f2561,f642,f628,f1281,f742,f384,f339,f450]) ).
fof(f4922,definition,
! [X0] :
( sQ219_spl
<=> ~ is_a_theorem(not(or(necessarily(sK58_skl),X0))) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f4925,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f4846,f4922,f2561,f642,f628,f1281,f339,f450]) ).
fof(f4926,definition,
! [X0] :
( sQ220_spl
<=> ~ is_a_theorem(not(or(sK58_skl,X0))) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f4929,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f4847,f4926,f2561,f642,f628,f1281,f742,f339,f450]) ).
fof(f4930,definition,
! [X0,X1] :
( sQ221_spl
<=> ~ is_a_theorem(not(or(X0,or(sK58_skl,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f4933,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f4848,f4930,f2561,f642,f628,f701,f461,f339,f450]) ).
fof(f4934,definition,
! [X0,X1] :
( sQ222_spl
<=> ~ is_a_theorem(not(or(X0,or(X1,sK58_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f4937,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ34_spl
| sQ185_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f4849,f4934,f2561,f461,f384,f701,f642,f628,f339,f450]) ).
fof(f4938,definition,
! [X0,X1] :
( sQ223_spl
<=> ~ is_a_theorem(not(or(X0,implies(X1,sK58_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f4941,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f4850,f4938,f2561,f642,f628,f1281,f742,f384,f461,f339,f450]) ).
fof(f4942,definition,
! [X0] :
( sQ224_spl
<=> ~ is_a_theorem(not(or(X0,necessarily(sK58_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f4945,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f4851,f4942,f2561,f642,f628,f1281,f461,f339,f450]) ).
fof(f4946,definition,
! [X0] :
( sQ225_spl
<=> ~ is_a_theorem(not(or(X0,sK58_skl))) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f4949,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| sQ185_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f4852,f4946,f2561,f1281,f742,f384,f339,f450,f642,f628]) ).
fof(f4953,definition,
! [X0,X1] :
( sQ226_spl
<=> ~ is_a_theorem(not(implies(X0,or(sK58_skl,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f4956,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f4856,f4953,f2561,f642,f628,f701,f384,f339,f450]) ).
fof(f4957,definition,
! [X0,X1] :
( sQ227_spl
<=> ~ is_a_theorem(not(implies(X0,or(X1,sK58_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f4960,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| sQ185_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f4857,f4957,f2561,f701,f642,f628,f384,f339,f450]) ).
fof(f4963,definition,
! [X0,X1] :
( sQ228_spl
<=> ~ is_a_theorem(not(implies(X0,implies(X1,sK58_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f4966,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f4860,f4963,f2561,f642,f628,f1281,f742,f384,f339,f450]) ).
fof(f4968,definition,
! [X0] :
( sQ229_spl
<=> ~ is_a_theorem(not(implies(X0,necessarily(sK58_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f4971,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f4862,f4968,f2561,f642,f628,f1281,f384,f339,f450]) ).
fof(f4972,definition,
! [X0] :
( sQ230_spl
<=> ~ is_a_theorem(not(implies(X0,sK58_skl))) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f4975,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f4863,f4972,f2561,f642,f628,f1281,f742,f384,f339,f450]) ).
fof(f4976,definition,
! [X0] :
( sQ231_spl
<=> ~ is_a_theorem(not(necessarily(or(sK58_skl,X0)))) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f4979,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f4864,f4976,f2561,f642,f628,f701,f663,f339,f450]) ).
fof(f4980,definition,
! [X0] :
( sQ232_spl
<=> ~ is_a_theorem(not(necessarily(or(X0,sK58_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f4983,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| sQ185_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f4865,f4980,f2561,f384,f701,f642,f628,f663,f339,f450]) ).
fof(f4984,definition,
! [X0] :
( sQ233_spl
<=> ~ is_a_theorem(not(necessarily(implies(X0,sK58_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f4987,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f4866,f4984,f2561,f642,f628,f1281,f742,f384,f663,f339,f450]) ).
fof(f4988,definition,
( sQ234_spl
<=> is_a_theorem(not(necessarily(necessarily(necessarily(sK58_skl))))) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f4991,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f4867,f4988,f2561,f642,f628,f701,f663,f339,f450]) ).
fof(f4992,definition,
( sQ235_spl
<=> is_a_theorem(not(necessarily(necessarily(sK58_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f4995,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f4868,f4992,f2561,f642,f628,f1281,f663,f339,f450]) ).
fof(f4996,definition,
( sQ236_spl
<=> is_a_theorem(not(necessarily(sK58_skl))) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f4999,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ185_spl
| ~ sQ236_spl ),
inference(split_clause,[status(thm)],[f4869,f4996,f2561,f642,f628,f1281,f339,f450]) ).
fof(f5000,definition,
( sQ237_spl
<=> is_a_theorem(not(sK58_skl)) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f5003,plain,
( ~ sQ180_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| sQ185_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f4870,f5000,f2561,f339,f642,f628,f1855]) ).
fof(f5004,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ198_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4872,f2597,f3328,f642,f628,f697,f1281,f742,f339,f461]) ).
fof(f5005,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ208_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4873,f2597,f4401,f642,f628,f701,f450,f339,f461]) ).
fof(f5006,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| ~ sQ31_spl
| sQ209_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4874,f2597,f4458,f450,f384,f701,f642,f628,f339,f461]) ).
fof(f5007,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ207_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4875,f2597,f4368,f642,f628,f1281,f742,f384,f450,f339,f461]) ).
fof(f5008,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ200_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4876,f2597,f3360,f642,f628,f1281,f450,f339,f461]) ).
fof(f5009,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ180_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4878,f2597,f1855,f642,f628,f1281,f742,f450,f339,f461]) ).
fof(f5010,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ210_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4879,f2597,f4578,f642,f628,f450,f701,f339,f461]) ).
fof(f5011,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| sQ211_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4880,f2597,f4618,f384,f701,f642,f628,f339,f461]) ).
fof(f5012,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ206_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4881,f2597,f4307,f642,f628,f1281,f742,f384,f339,f461]) ).
fof(f5013,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ199_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4882,f2597,f3339,f642,f628,f1281,f339,f461]) ).
fof(f5014,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| sQ181_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4884,f2597,f1865,f1281,f742,f384,f339,f461,f642,f628]) ).
fof(f5018,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ213_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4888,f2597,f4766,f642,f628,f450,f701,f384,f339,f461]) ).
fof(f5019,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| sQ214_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4889,f2597,f4814,f701,f642,f628,f384,f339,f461]) ).
fof(f5022,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ205_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4892,f2597,f4270,f642,f628,f1281,f742,f384,f339,f461]) ).
fof(f5024,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ202_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4894,f2597,f3440,f642,f628,f1281,f384,f339,f461]) ).
fof(f5025,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ177_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4896,f2597,f1763,f642,f628,f1281,f742,f384,f339,f461]) ).
fof(f5026,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ203_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4897,f2597,f3451,f642,f628,f450,f701,f663,f339,f461]) ).
fof(f5027,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| sQ204_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4898,f2597,f3472,f384,f701,f642,f628,f663,f339,f461]) ).
fof(f5028,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ201_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4899,f2597,f3382,f642,f628,f1281,f742,f384,f663,f339,f461]) ).
fof(f5029,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ212_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4900,f2597,f4733,f642,f628,f701,f663,f339,f461]) ).
fof(f5030,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ172_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ197_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4901,f2597,f3185,f642,f628,f1281,f663,f339,f461]) ).
fof(f5032,plain,
( ~ sQ181_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| sQ99_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f4903,f2597,f701,f339,f642,f628,f1865]) ).
fof(f5035,plain,
( sQ144_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2617]) ).
fof(f5036,plain,
( sQ132_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2618]) ).
fof(f5037,plain,
( sQ150_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2619]) ).
fof(f5038,plain,
( sQ153_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2620]) ).
fof(f5039,plain,
( sQ126_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2621]) ).
fof(f5040,plain,
( sQ162_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2622]) ).
fof(f5041,plain,
( sQ159_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2623]) ).
fof(f5042,plain,
( sQ129_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2624]) ).
fof(f5043,plain,
( sQ156_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2625]) ).
fof(f5044,plain,
( sQ105_spl
| ~ sQ6_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f726,f2626]) ).
fof(f5045,plain,
( sQ123_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2627]) ).
fof(f5046,plain,
( sQ114_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2628]) ).
fof(f5047,plain,
( sQ117_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2629]) ).
fof(f5048,plain,
( sQ77_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2630]) ).
fof(f5049,plain,
( sQ55_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2631]) ).
fof(f5050,plain,
( sQ74_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2632]) ).
fof(f5051,plain,
( sQ71_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2633]) ).
fof(f5052,plain,
( sQ66_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2634]) ).
fof(f5053,plain,
( sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2635]) ).
fof(f5054,plain,
( sQ50_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2636]) ).
fof(f5055,plain,
( sQ101_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f711,f2562]) ).
fof(f5056,plain,
( sQ96_spl
| ~ sQ185_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f692,f2562]) ).
fof(f5057,plain,
( sQ105_spl
| ~ sQ6_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f5044]) ).
fof(f5058,plain,
( sQ101_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f5055]) ).
fof(f5059,plain,
( sQ96_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f5056]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ5_spl
| sQ6_spl
| sQ9_spl
| sQ10_spl
| sQ11_spl
| sQ12_spl
| sQ13_spl
| sQ14_spl
| sQ15_spl
| sQ16_spl
| sQ17_spl
| sQ18_spl
| sQ19_spl
| sQ20_spl
| sQ21_spl
| sQ22_spl
| sQ23_spl
| sQ24_spl
| sQ25_spl
| sQ26_spl
| sQ27_spl
| sQ28_spl
| sQ29_spl
| sQ30_spl
| sQ31_spl
| sQ32_spl
| sQ33_spl
| sQ34_spl
| sQ35_spl
| sQ36_spl
| sQ37_spl
| sQ38_spl
| sQ39_spl
| sQ40_spl
| sQ41_spl
| sQ42_spl
| sQ43_spl
| sQ44_spl
| sQ45_spl
| sQ46_spl
| sQ47_spl
| sQ48_spl
| sQ49_spl
| sQ50_spl
| sQ51_spl
| sQ52_spl
| sQ53_spl
| sQ54_spl
| sQ55_spl
| sQ56_spl
| sQ57_spl
| sQ58_spl
| sQ59_spl
| sQ60_spl
| sQ61_spl
| sQ62_spl
| sQ63_spl
| sQ64_spl
| sQ65_spl
| sQ66_spl
| sQ67_spl
| sQ68_spl
| sQ69_spl
| sQ70_spl
| sQ71_spl
| sQ72_spl
| sQ73_spl
| sQ74_spl
| sQ75_spl
| sQ76_spl
| sQ77_spl
| sQ78_spl
| sQ79_spl
| ~ sQ80_spl
| sQ82_spl
| sQ83_spl
| ~ sQ84_spl
| sQ86_spl
| sQ87_spl
| sQ88_spl
| sQ89_spl
| sQ92_spl
| sQ93_spl
| sQ94_spl
| sQ96_spl
| sQ97_spl
| sQ98_spl
| sQ99_spl
| sQ100_spl
| sQ101_spl
| sQ102_spl
| sQ103_spl
| sQ104_spl
| sQ105_spl
| sQ106_spl
| sQ107_spl
| sQ108_spl
| sQ109_spl
| sQ110_spl
| sQ111_spl
| sQ112_spl
| sQ113_spl
| sQ114_spl
| sQ115_spl
| sQ116_spl
| sQ117_spl
| sQ118_spl
| sQ119_spl
| sQ120_spl
| sQ121_spl
| sQ122_spl
| sQ123_spl
| sQ124_spl
| sQ125_spl
| sQ126_spl
| sQ127_spl
| sQ128_spl
| sQ129_spl
| sQ130_spl
| sQ131_spl
| sQ132_spl
| sQ133_spl
| sQ134_spl
| sQ135_spl
| sQ136_spl
| sQ137_spl
| sQ138_spl
| sQ139_spl
| sQ140_spl
| sQ141_spl
| sQ142_spl
| sQ143_spl
| sQ144_spl
| sQ145_spl
| sQ146_spl
| sQ147_spl
| sQ148_spl
| sQ149_spl
| sQ150_spl
| sQ151_spl
| sQ152_spl
| sQ153_spl
| sQ154_spl
| sQ155_spl
| sQ156_spl
| sQ157_spl
| sQ158_spl
| sQ159_spl
| sQ160_spl
| sQ161_spl
| sQ162_spl
| sQ163_spl
| sQ164_spl
| ~ sQ165_spl
| ~ sQ167_spl
| ~ sQ169_spl
| ~ sQ171_spl
| sQ172_spl
| sQ173_spl
| sQ174_spl
| sQ175_spl
| sQ176_spl
| sQ177_spl
| sQ178_spl
| sQ179_spl
| sQ180_spl
| sQ181_spl
| sQ182_spl
| sQ183_spl
| sQ185_spl
| sQ195_spl
| sQ196_spl
| sQ197_spl
| sQ198_spl
| sQ199_spl
| sQ200_spl
| sQ201_spl
| sQ202_spl
| sQ203_spl
| sQ204_spl
| sQ205_spl
| sQ206_spl
| sQ207_spl
| sQ208_spl
| sQ209_spl
| sQ210_spl
| sQ211_spl
| sQ212_spl
| sQ213_spl
| sQ214_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL911+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 01:16:15 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 17.56/2.65 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 17.56/2.65 % SZS output start Saturation for theBenchmark
% See solution above
% 0.70/2.74 % Elapsed time: 2.378227 seconds
% 0.70/2.74 % CPU time: 18.080628 seconds
% 0.70/2.74 % Total memory used: 229.559 MB
% 0.70/2.74 % Net memory used: 212.888 MB
%------------------------------------------------------------------------------