%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL912+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 01:11:22 PM UTC 2026
% Result : Satisfiable 49.37s 31.15s
% Output : Saturation 11.32s
% 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X,Y] :
( is_a_theorem(equiv(X,Y))
=> X = Y ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( implies_1
<=> ! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( and_1
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( and_2
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( and_3
<=> ! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( or_1
<=> ! [X,Y] : is_a_theorem(implies(X,or(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( or_2
<=> ! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( equivalence_1
<=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( equivalence_2
<=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(Y,X))) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( kn1
<=> ! [P] : is_a_theorem(implies(P,and(P,P))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( kn2
<=> ! [P,Q] : is_a_theorem(implies(and(P,Q),P)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( cn2
<=> ! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
( cn3
<=> ! [P] : is_a_theorem(implies(implies(not(P),P),P)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
( r1
<=> ! [P] : is_a_theorem(implies(or(P,P),P)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
( r2
<=> ! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
( r3
<=> ! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
( op_or
=> ! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
( op_and
=> ! [X,Y] : and(X,Y) = not(or(not(X),not(Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
( op_implies_and
=> ! [X,Y] : implies(X,Y) = not(and(X,not(Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
( op_implies_or
=> ! [X,Y] : implies(X,Y) = or(not(X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
( op_equiv
=> ! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
op_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
op_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
modus_tollens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
implies_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
implies_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
implies_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
and_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
and_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
and_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
or_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
or_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
or_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
equivalence_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
equivalence_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
equivalence_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
( necessitation
<=> ! [X] :
( is_a_theorem(X)
=> is_a_theorem(necessarily(X)) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
( substitution_strict_equiv
<=> ! [X,Y] :
( is_a_theorem(strict_equiv(X,Y))
=> X = Y ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,axiom,
( axiom_M
<=> ! [X] : is_a_theorem(implies(necessarily(X),X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
( axiom_4
<=> ! [X] : is_a_theorem(implies(necessarily(X),necessarily(necessarily(X)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
( axiom_B
<=> ! [X] : is_a_theorem(implies(X,necessarily(possibly(X)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
( axiom_5
<=> ! [X] : is_a_theorem(implies(possibly(X),necessarily(possibly(X)))) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
( axiom_s4
<=> ! [X] : is_a_theorem(strict_implies(necessarily(X),necessarily(necessarily(X)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,axiom,
( axiom_m1
<=> ! [X,Y] : is_a_theorem(strict_implies(and(X,Y),and(Y,X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,axiom,
( axiom_m2
<=> ! [X,Y] : is_a_theorem(strict_implies(and(X,Y),X)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
( axiom_m4
<=> ! [X] : is_a_theorem(strict_implies(X,and(X,X))) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,axiom,
( axiom_m6
<=> ! [X] : is_a_theorem(strict_implies(X,possibly(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,axiom,
( axiom_m7
<=> ! [P,Q] : is_a_theorem(strict_implies(possibly(and(P,Q)),P)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
( axiom_m9
<=> ! [X] : is_a_theorem(strict_implies(possibly(possibly(X)),possibly(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,axiom,
( axiom_m10
<=> ! [X] : is_a_theorem(strict_implies(possibly(X),necessarily(possibly(X)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,axiom,
( op_possibly
=> ! [X] : possibly(X) = not(necessarily(not(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
( op_necessarily
=> ! [X] : necessarily(X) = not(possibly(not(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,axiom,
( op_strict_implies
=> ! [X,Y] : strict_implies(X,Y) = necessarily(implies(X,Y)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f77,axiom,
op_possibly,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,axiom,
necessitation,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,axiom,
axiom_K,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,axiom,
axiom_M,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,axiom,
axiom_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,axiom,
axiom_B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,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(f84,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)],[f83]) ).
fof(f85,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)],[f84]) ).
fof(f86,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)],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| ~ modus_ponens ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f91,plain,
( substitution_of_equivalents
<=> ! [X,Y] :
( X = Y
| ~ is_a_theorem(equiv(X,Y)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f92,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)],[f91]) ).
fof(f93,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)],[f92]) ).
fof(f94,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f97,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(f98,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)],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
| ~ modus_tollens ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f101,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(f102,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)],[f101]) ).
fof(f103,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f105,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(f106,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)],[f105]) ).
fof(f107,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f109,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(f110,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)],[f109]) ).
fof(f111,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)],[f110]) ).
fof(f113,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(f114,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)],[f113]) ).
fof(f115,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f117,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(f118,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)],[f117]) ).
fof(f119,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X1))
| ~ and_2 ),
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f121,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(f122,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)],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f125,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(f126,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)],[f125]) ).
fof(f127,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f129,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(f130,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)],[f129]) ).
fof(f131,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X1,X0)))
| ~ or_2 ),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f133,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(f134,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)],[f133]) ).
fof(f135,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)],[f134]) ).
fof(f137,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(f138,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)],[f137]) ).
fof(f139,plain,
! [X0,X1] :
( is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
| ~ equivalence_1 ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f141,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(f142,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)],[f141]) ).
fof(f143,plain,
! [X0,X1] :
( is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
| ~ equivalence_2 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f145,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(f146,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)],[f145]) ).
fof(f147,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
| ~ equivalence_3 ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f149,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(f150,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)],[f149]) ).
fof(f151,plain,
! [X0] :
( is_a_theorem(implies(X0,and(X0,X0)))
| ~ kn1 ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
( ~ is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl)))
| kn1 ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f153,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(f154,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)],[f153]) ).
fof(f155,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ kn2 ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
( ~ is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl))
| kn2 ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f157,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(f158,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)],[f157]) ).
fof(f159,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)],[f158]) ).
fof(f160,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)],[f158]) ).
fof(f161,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(f162,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)],[f161]) ).
fof(f163,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,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)],[f162]) ).
fof(f165,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(f166,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)],[f165]) ).
fof(f167,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( ~ is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl)))
| cn2 ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f169,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(f170,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)],[f169]) ).
fof(f171,plain,
! [X0] :
( is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
( ~ is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl))
| cn3 ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f173,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(f174,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)],[f173]) ).
fof(f175,plain,
! [X0] :
( is_a_theorem(implies(or(X0,X0),X0))
| ~ r1 ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
( ~ is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl))
| r1 ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f177,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(f178,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)],[f177]) ).
fof(f179,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X1,X0)))
| ~ r2 ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( ~ is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl)))
| r2 ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f181,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(f182,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)],[f181]) ).
fof(f183,plain,
! [X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
( ~ is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl)))
| r3 ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f185,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(f186,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)],[f185]) ).
fof(f187,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
| ~ r4 ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,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)],[f186]) ).
fof(f189,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(f190,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)],[f189]) ).
fof(f191,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))
| ~ r5 ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,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)],[f190]) ).
fof(f193,plain,
( ! [X,Y] : or(X,Y) = not(and(not(X),not(Y)))
| ~ op_or ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f194,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( ! [X,Y] : and(X,Y) = not(or(not(X),not(Y)))
| ~ op_and ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f196,plain,
! [X0,X1] :
( and(X0,X1) = not(or(not(X0),not(X1)))
| ~ op_and ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
( ! [X,Y] : implies(X,Y) = not(and(X,not(Y)))
| ~ op_implies_and ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f198,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( ! [X,Y] : implies(X,Y) = or(not(X),Y)
| ~ op_implies_or ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f200,plain,
! [X0,X1] :
( implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f201,plain,
( ! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X))
| ~ op_equiv ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f202,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
op_or,
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f204,plain,
op_implies_and,
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f205,plain,
op_equiv,
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f206,plain,
modus_ponens,
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f207,plain,
modus_tollens,
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f208,plain,
implies_1,
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f209,plain,
implies_2,
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f210,plain,
implies_3,
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f211,plain,
and_1,
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f212,plain,
and_2,
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f213,plain,
and_3,
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f214,plain,
or_1,
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f215,plain,
or_2,
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f216,plain,
or_3,
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f217,plain,
equivalence_1,
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f218,plain,
equivalence_2,
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f219,plain,
equivalence_3,
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f220,plain,
substitution_of_equivalents,
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f221,plain,
( necessitation
<=> ! [X] :
( is_a_theorem(necessarily(X))
| ~ is_a_theorem(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f222,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)],[f221]) ).
fof(f223,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)],[f222]) ).
fof(f224,plain,
! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0)
| ~ necessitation ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f227,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(f228,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)],[f227]) ).
fof(f229,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)],[f228]) ).
fof(f230,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)],[f229]) ).
fof(f231,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)],[f230]) ).
fof(f232,plain,
( is_a_theorem(sK57_skl)
| modus_ponens_strict_implies ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f233,plain,
( is_a_theorem(strict_implies(sK57_skl,sK56_skl))
| modus_ponens_strict_implies ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f234,plain,
( ~ is_a_theorem(sK56_skl)
| modus_ponens_strict_implies ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f235,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(f236,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)],[f235]) ).
fof(f237,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)],[f236]) ).
fof(f238,plain,
! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ adjunction ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f239,plain,
( is_a_theorem(sK58_skl)
| adjunction ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f240,plain,
( is_a_theorem(sK59_skl)
| adjunction ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f241,plain,
( ~ is_a_theorem(and(sK58_skl,sK59_skl))
| adjunction ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f242,plain,
( substitution_strict_equiv
<=> ! [X,Y] :
( X = Y
| ~ is_a_theorem(strict_equiv(X,Y)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f53]) ).
fof(f243,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)],[f242]) ).
fof(f244,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)],[f243]) ).
fof(f245,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(strict_equiv(X0,X1))
| ~ substitution_strict_equiv ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f246,plain,
( is_a_theorem(strict_equiv(sK60_skl,sK61_skl))
| substitution_strict_equiv ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f247,plain,
( sK60_skl != sK61_skl
| substitution_strict_equiv ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f248,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(f249,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)],[f248]) ).
fof(f250,plain,
! [X0,X1] :
( is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))
| ~ axiom_K ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f252,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(f253,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)],[f252]) ).
fof(f254,plain,
! [X0] :
( is_a_theorem(implies(necessarily(X0),X0))
| ~ axiom_M ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f256,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(f257,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)],[f256]) ).
fof(f258,plain,
! [X0] :
( is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
| ~ axiom_4 ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f260,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(f261,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)],[f260]) ).
fof(f262,plain,
! [X0] :
( is_a_theorem(implies(X0,necessarily(possibly(X0))))
| ~ axiom_B ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f264,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(f265,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)],[f264]) ).
fof(f266,plain,
! [X0] :
( is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
| ~ axiom_5 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f267,plain,
( ~ is_a_theorem(implies(possibly(sK67_skl),necessarily(possibly(sK67_skl))))
| axiom_5 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f268,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(f269,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)],[f268]) ).
fof(f270,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)],[f269]) ).
fof(f271,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)],[f269]) ).
fof(f272,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(f273,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)],[f272]) ).
fof(f274,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(possibly(and(X0,X1)),and(possibly(X0),possibly(X1))))
| ~ axiom_s2 ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f275,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)],[f273]) ).
fof(f276,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(f277,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)],[f276]) ).
fof(f278,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)],[f277]) ).
fof(f279,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)],[f277]) ).
fof(f280,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(f281,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)],[f280]) ).
fof(f282,plain,
! [X0] :
( is_a_theorem(strict_implies(necessarily(X0),necessarily(necessarily(X0))))
| ~ axiom_s4 ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f283,plain,
( ~ is_a_theorem(strict_implies(necessarily(sK75_skl),necessarily(necessarily(sK75_skl))))
| axiom_s4 ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f284,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(f285,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)],[f284]) ).
fof(f286,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
| ~ axiom_m1 ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f287,plain,
( ~ is_a_theorem(strict_implies(and(sK76_skl,sK77_skl),and(sK77_skl,sK76_skl)))
| axiom_m1 ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f288,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(f289,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)],[f288]) ).
fof(f290,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(and(X0,X1),X0))
| ~ axiom_m2 ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f291,plain,
( ~ is_a_theorem(strict_implies(and(sK78_skl,sK79_skl),sK78_skl))
| axiom_m2 ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f292,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(f293,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)],[f292]) ).
fof(f294,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)],[f293]) ).
fof(f295,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)],[f293]) ).
fof(f296,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(f297,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)],[f296]) ).
fof(f298,plain,
! [X0] :
( is_a_theorem(strict_implies(X0,and(X0,X0)))
| ~ axiom_m4 ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f299,plain,
( ~ is_a_theorem(strict_implies(sK83_skl,and(sK83_skl,sK83_skl)))
| axiom_m4 ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f300,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(f301,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)],[f300]) ).
fof(f302,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)],[f301]) ).
fof(f303,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)],[f301]) ).
fof(f304,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(f305,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)],[f304]) ).
fof(f306,plain,
! [X0] :
( is_a_theorem(strict_implies(X0,possibly(X0)))
| ~ axiom_m6 ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f307,plain,
( ~ is_a_theorem(strict_implies(sK87_skl,possibly(sK87_skl)))
| axiom_m6 ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f308,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(f309,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)],[f308]) ).
fof(f310,plain,
! [X0,X1] :
( is_a_theorem(strict_implies(possibly(and(X0,X1)),X0))
| ~ axiom_m7 ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f311,plain,
( ~ is_a_theorem(strict_implies(possibly(and(sK88_skl,sK89_skl)),sK88_skl))
| axiom_m7 ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f312,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(f313,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)],[f312]) ).
fof(f314,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)],[f313]) ).
fof(f315,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)],[f313]) ).
fof(f316,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(f317,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)],[f316]) ).
fof(f318,plain,
! [X0] :
( is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0)))
| ~ axiom_m9 ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f319,plain,
( ~ is_a_theorem(strict_implies(possibly(possibly(sK92_skl)),possibly(sK92_skl)))
| axiom_m9 ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f320,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(f321,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)],[f320]) ).
fof(f322,plain,
! [X0] :
( is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))
| ~ axiom_m10 ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f323,plain,
( ~ is_a_theorem(strict_implies(possibly(sK93_skl),necessarily(possibly(sK93_skl))))
| axiom_m10 ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f324,plain,
( ! [X] : possibly(X) = not(necessarily(not(X)))
| ~ op_possibly ),
inference(pre_NNF_transformation,[status(thm)],[f73]) ).
fof(f325,plain,
! [X0] :
( possibly(X0) = not(necessarily(not(X0)))
| ~ op_possibly ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f326,plain,
( ! [X] : necessarily(X) = not(possibly(not(X)))
| ~ op_necessarily ),
inference(pre_NNF_transformation,[status(thm)],[f74]) ).
fof(f327,plain,
! [X0] :
( necessarily(X0) = not(possibly(not(X0)))
| ~ op_necessarily ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f328,plain,
( ! [X,Y] : strict_implies(X,Y) = necessarily(implies(X,Y))
| ~ op_strict_implies ),
inference(pre_NNF_transformation,[status(thm)],[f75]) ).
fof(f329,plain,
! [X0,X1] :
( strict_implies(X0,X1) = necessarily(implies(X0,X1))
| ~ op_strict_implies ),
inference(cnf_transformation,[status(thm)],[f328]) ).
fof(f330,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(f331,plain,
! [X0,X1] :
( strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))
| ~ op_strict_equiv ),
inference(cnf_transformation,[status(thm)],[f330]) ).
fof(f332,plain,
op_possibly,
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f333,plain,
necessitation,
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f334,plain,
axiom_K,
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f335,plain,
axiom_M,
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f336,plain,
axiom_4,
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f337,plain,
axiom_B,
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f338,definition,
( sQ0_spl
<=> modus_ponens ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( sQ0_spl
| ~ modus_ponens ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,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(f342,plain,
! [X0,X1] :
( ~ sQ1_spl
| is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f87,f338,f341]) ).
fof(f345,definition,
( sQ2_spl
<=> is_a_theorem(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ2_spl
| is_a_theorem(sK1_skl) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f349,definition,
( sQ3_spl
<=> is_a_theorem(implies(sK1_skl,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ3_spl
| is_a_theorem(implies(sK1_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f353,definition,
( sQ4_spl
<=> is_a_theorem(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( sQ4_spl
| ~ is_a_theorem(sK0_skl) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f357,definition,
( sQ5_spl
<=> substitution_of_equivalents ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( sQ5_spl
| ~ substitution_of_equivalents ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,definition,
! [X0,X1] :
( sQ6_spl
<=> ( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f361,plain,
! [X0,X1] :
( ~ sQ6_spl
| X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f94,f357,f360]) ).
fof(f364,definition,
( sQ7_spl
<=> is_a_theorem(equiv(sK2_skl,sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ7_spl
| is_a_theorem(equiv(sK2_skl,sK3_skl)) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f368,definition,
( sQ8_spl
<=> sK2_skl = sK3_skl ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( sQ8_spl
| sK2_skl != sK3_skl ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f372,definition,
( sQ9_spl
<=> modus_tollens ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( sQ9_spl
| ~ modus_tollens ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,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(f376,plain,
! [X0,X1] :
( ~ sQ10_spl
| is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f99,f372,f375]) ).
fof(f379,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(f380,plain,
( ~ sQ11_spl
| is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f381,plain,
( sQ11_spl
| ~ is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f383,definition,
( sQ12_spl
<=> implies_1 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( sQ12_spl
| ~ implies_1 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
! [X0,X1] :
( sQ13_spl
<=> is_a_theorem(implies(X0,implies(X1,X0))) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f387,plain,
! [X0,X1] :
( ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f103,f383,f386]) ).
fof(f390,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(f391,plain,
( ~ sQ14_spl
| is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl))) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f392,plain,
( sQ14_spl
| ~ is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl))) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f394,definition,
( sQ15_spl
<=> implies_2 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( sQ15_spl
| ~ implies_2 ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,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(f398,plain,
! [X0,X1] :
( ~ sQ16_spl
| is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f107,f394,f397]) ).
fof(f401,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(f402,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)],[f401]) ).
fof(f403,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)],[f401]) ).
fof(f405,definition,
( sQ18_spl
<=> implies_3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( sQ18_spl
| ~ implies_3 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,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(f409,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)],[f408]) ).
fof(f411,plain,
( sQ19_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f111,f405,f408]) ).
fof(f412,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(f413,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)],[f412]) ).
fof(f414,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)],[f412]) ).
fof(f416,definition,
( sQ21_spl
<=> and_1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( sQ21_spl
| ~ and_1 ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,definition,
! [X0,X1] :
( sQ22_spl
<=> is_a_theorem(implies(and(X0,X1),X0)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f420,plain,
! [X0,X1] :
( ~ sQ22_spl
| is_a_theorem(implies(and(X0,X1),X0)) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f115,f416,f419]) ).
fof(f423,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(f424,plain,
( ~ sQ23_spl
| is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl)) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f425,plain,
( sQ23_spl
| ~ is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl)) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f427,definition,
( sQ24_spl
<=> and_2 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( sQ24_spl
| ~ and_2 ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
! [X0,X1] :
( sQ25_spl
<=> is_a_theorem(implies(and(X0,X1),X1)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f431,plain,
! [X0,X1] :
( ~ sQ25_spl
| is_a_theorem(implies(and(X0,X1),X1)) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,plain,
( sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f119,f427,f430]) ).
fof(f434,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(f435,plain,
( ~ sQ26_spl
| is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl)) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f436,plain,
( sQ26_spl
| ~ is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl)) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f438,definition,
( sQ27_spl
<=> and_3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( sQ27_spl
| ~ and_3 ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,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(f442,plain,
! [X0,X1] :
( ~ sQ28_spl
| is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( sQ28_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f123,f438,f441]) ).
fof(f445,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(f446,plain,
( ~ sQ29_spl
| is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl)))) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f447,plain,
( sQ29_spl
| ~ is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl)))) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f449,definition,
( sQ30_spl
<=> or_1 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( sQ30_spl
| ~ or_1 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
! [X0,X1] :
( sQ31_spl
<=> is_a_theorem(implies(X0,or(X0,X1))) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f453,plain,
! [X0,X1] :
( ~ sQ31_spl
| is_a_theorem(implies(X0,or(X0,X1))) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f127,f449,f452]) ).
fof(f456,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(f457,plain,
( ~ sQ32_spl
| is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl))) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f458,plain,
( sQ32_spl
| ~ is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl))) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f460,definition,
( sQ33_spl
<=> or_2 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( sQ33_spl
| ~ or_2 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
! [X0,X1] :
( sQ34_spl
<=> is_a_theorem(implies(X0,or(X1,X0))) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f464,plain,
! [X0,X1] :
( ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f131,f460,f463]) ).
fof(f467,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(f468,plain,
( ~ sQ35_spl
| is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl))) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( sQ35_spl
| ~ is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl))) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f471,definition,
( sQ36_spl
<=> or_3 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( sQ36_spl
| ~ or_3 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,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(f475,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)],[f474]) ).
fof(f477,plain,
( sQ37_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f135,f471,f474]) ).
fof(f478,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(f479,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)],[f478]) ).
fof(f480,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)],[f478]) ).
fof(f482,definition,
( sQ39_spl
<=> equivalence_1 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( sQ39_spl
| ~ equivalence_1 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,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(f486,plain,
! [X0,X1] :
( ~ sQ40_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( sQ40_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f139,f482,f485]) ).
fof(f489,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(f490,plain,
( ~ sQ41_spl
| is_a_theorem(implies(equiv(sK26_skl,sK27_skl),implies(sK26_skl,sK27_skl))) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( sQ41_spl
| ~ is_a_theorem(implies(equiv(sK26_skl,sK27_skl),implies(sK26_skl,sK27_skl))) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f493,definition,
( sQ42_spl
<=> equivalence_2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( sQ42_spl
| ~ equivalence_2 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,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(f497,plain,
! [X0,X1] :
( ~ sQ43_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( sQ43_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f143,f493,f496]) ).
fof(f500,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(f501,plain,
( ~ sQ44_spl
| is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl))) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f502,plain,
( sQ44_spl
| ~ is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl))) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f504,definition,
( sQ45_spl
<=> equivalence_3 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( sQ45_spl
| ~ equivalence_3 ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,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(f508,plain,
! [X0,X1] :
( ~ sQ46_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,plain,
( sQ46_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f147,f504,f507]) ).
fof(f511,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(f512,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)],[f511]) ).
fof(f513,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)],[f511]) ).
fof(f515,definition,
( sQ48_spl
<=> kn1 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ48_spl
| kn1 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( sQ48_spl
| ~ kn1 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
! [X0] :
( sQ49_spl
<=> is_a_theorem(implies(X0,and(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f519,plain,
! [X0] :
( ~ sQ49_spl
| is_a_theorem(implies(X0,and(X0,X0))) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,plain,
( sQ49_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f151,f515,f518]) ).
fof(f522,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(f523,plain,
( ~ sQ50_spl
| is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl))) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f524,plain,
( sQ50_spl
| ~ is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl))) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( ~ sQ50_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f152,f515,f522]) ).
fof(f526,definition,
( sQ51_spl
<=> kn2 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ51_spl
| kn2 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f528,plain,
( sQ51_spl
| ~ kn2 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( sQ22_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f155,f526,f419]) ).
fof(f530,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(f531,plain,
( ~ sQ52_spl
| is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl)) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f532,plain,
( sQ52_spl
| ~ is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl)) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( ~ sQ52_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f156,f526,f530]) ).
fof(f534,definition,
( sQ53_spl
<=> kn3 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ53_spl
| kn3 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f536,plain,
( sQ53_spl
| ~ kn3 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,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(f538,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)],[f537]) ).
fof(f540,plain,
( sQ54_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f159,f534,f537]) ).
fof(f541,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(f542,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)],[f541]) ).
fof(f543,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)],[f541]) ).
fof(f544,plain,
( ~ sQ55_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f160,f534,f541]) ).
fof(f545,definition,
( sQ56_spl
<=> cn1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ56_spl
| cn1 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f547,plain,
( sQ56_spl
| ~ cn1 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( sQ19_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f163,f545,f408]) ).
fof(f549,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(f550,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)],[f549]) ).
fof(f551,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)],[f549]) ).
fof(f552,plain,
( ~ sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f164,f545,f549]) ).
fof(f553,definition,
( sQ58_spl
<=> cn2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( ~ sQ58_spl
| cn2 ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f555,plain,
( sQ58_spl
| ~ cn2 ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,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(f557,plain,
! [X0,X1] :
( ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,plain,
( sQ59_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f167,f553,f556]) ).
fof(f560,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(f561,plain,
( ~ sQ60_spl
| is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl))) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f562,plain,
( sQ60_spl
| ~ is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl))) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( ~ sQ60_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f168,f553,f560]) ).
fof(f564,definition,
( sQ61_spl
<=> cn3 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ61_spl
| cn3 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f566,plain,
( sQ61_spl
| ~ cn3 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,definition,
! [X0] :
( sQ62_spl
<=> is_a_theorem(implies(implies(not(X0),X0),X0)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f568,plain,
! [X0] :
( ~ sQ62_spl
| is_a_theorem(implies(implies(not(X0),X0),X0)) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( sQ62_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f171,f564,f567]) ).
fof(f571,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(f572,plain,
( ~ sQ63_spl
| is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl)) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f573,plain,
( sQ63_spl
| ~ is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl)) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( ~ sQ63_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f172,f564,f571]) ).
fof(f575,definition,
( sQ64_spl
<=> r1 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ64_spl
| r1 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f577,plain,
( sQ64_spl
| ~ r1 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,definition,
! [X0] :
( sQ65_spl
<=> is_a_theorem(implies(or(X0,X0),X0)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f579,plain,
! [X0] :
( ~ sQ65_spl
| is_a_theorem(implies(or(X0,X0),X0)) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,plain,
( sQ65_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f175,f575,f578]) ).
fof(f582,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(f583,plain,
( ~ sQ66_spl
| is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl)) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f584,plain,
( sQ66_spl
| ~ is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl)) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( ~ sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f176,f575,f582]) ).
fof(f586,definition,
( sQ67_spl
<=> r2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f587,plain,
( ~ sQ67_spl
| r2 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f588,plain,
( sQ67_spl
| ~ r2 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,plain,
( sQ34_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f179,f586,f463]) ).
fof(f590,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(f591,plain,
( ~ sQ68_spl
| is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl))) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f592,plain,
( sQ68_spl
| ~ is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl))) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,plain,
( ~ sQ68_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f180,f586,f590]) ).
fof(f594,definition,
( sQ69_spl
<=> r3 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( ~ sQ69_spl
| r3 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f596,plain,
( sQ69_spl
| ~ r3 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,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(f598,plain,
! [X0,X1] :
( ~ sQ70_spl
| is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( sQ70_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f183,f594,f597]) ).
fof(f601,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(f602,plain,
( ~ sQ71_spl
| is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl))) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f603,plain,
( sQ71_spl
| ~ is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl))) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,plain,
( ~ sQ71_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f184,f594,f601]) ).
fof(f605,definition,
( sQ72_spl
<=> r4 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( ~ sQ72_spl
| r4 ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f607,plain,
( sQ72_spl
| ~ r4 ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,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(f609,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)],[f608]) ).
fof(f611,plain,
( sQ73_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f187,f605,f608]) ).
fof(f612,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(f613,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)],[f612]) ).
fof(f614,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)],[f612]) ).
fof(f615,plain,
( ~ sQ74_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f188,f605,f612]) ).
fof(f616,definition,
( sQ75_spl
<=> r5 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ75_spl
| r5 ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f618,plain,
( sQ75_spl
| ~ r5 ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,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(f620,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)],[f619]) ).
fof(f622,plain,
( sQ76_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f191,f616,f619]) ).
fof(f623,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(f624,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)],[f623]) ).
fof(f625,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)],[f623]) ).
fof(f626,plain,
( ~ sQ77_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f192,f616,f623]) ).
fof(f627,definition,
( sQ78_spl
<=> op_or ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( sQ78_spl
| ~ op_or ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,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(f631,plain,
! [X0,X1] :
( ~ sQ79_spl
| or(X0,X1) = not(and(not(X0),not(X1))) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,plain,
( sQ79_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f194,f627,f630]) ).
fof(f634,definition,
( sQ80_spl
<=> op_and ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( sQ80_spl
| ~ op_and ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f637,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(f640,plain,
( sQ81_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f196,f634,f637]) ).
fof(f641,definition,
( sQ82_spl
<=> op_implies_and ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( sQ82_spl
| ~ op_implies_and ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,definition,
! [X0,X1] :
( sQ83_spl
<=> implies(X0,X1) = not(and(X0,not(X1))) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f645,plain,
! [X0,X1] :
( ~ sQ83_spl
| implies(X0,X1) = not(and(X0,not(X1))) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,plain,
( sQ83_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f198,f641,f644]) ).
fof(f648,definition,
( sQ84_spl
<=> op_implies_or ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( sQ84_spl
| ~ op_implies_or ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,definition,
! [X0,X1] :
( sQ85_spl
<=> implies(X0,X1) = or(not(X0),X1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( sQ85_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f200,f648,f651]) ).
fof(f655,definition,
( sQ86_spl
<=> op_equiv ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( sQ86_spl
| ~ op_equiv ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,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(f659,plain,
! [X0,X1] :
( ~ sQ87_spl
| equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( sQ87_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f202,f655,f658]) ).
fof(f662,definition,
( sQ88_spl
<=> necessitation ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( sQ88_spl
| ~ necessitation ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,definition,
! [X0] :
( sQ89_spl
<=> ( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f666,plain,
! [X0] :
( ~ sQ89_spl
| is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,plain,
( sQ89_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f224,f662,f665]) ).
fof(f669,definition,
( sQ90_spl
<=> is_a_theorem(sK55_skl) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ90_spl
| is_a_theorem(sK55_skl) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f673,definition,
( sQ91_spl
<=> is_a_theorem(necessarily(sK55_skl)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( sQ91_spl
| ~ is_a_theorem(necessarily(sK55_skl)) ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f677,definition,
( sQ92_spl
<=> modus_ponens_strict_implies ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( ~ sQ92_spl
| modus_ponens_strict_implies ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f679,plain,
( sQ92_spl
| ~ modus_ponens_strict_implies ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,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(f681,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)],[f680]) ).
fof(f683,plain,
( sQ93_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f231,f677,f680]) ).
fof(f684,definition,
( sQ94_spl
<=> is_a_theorem(sK57_skl) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ94_spl
| is_a_theorem(sK57_skl) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f686,plain,
( sQ94_spl
| ~ is_a_theorem(sK57_skl) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( sQ94_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f232,f677,f684]) ).
fof(f688,definition,
( sQ95_spl
<=> is_a_theorem(strict_implies(sK57_skl,sK56_skl)) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( ~ sQ95_spl
| is_a_theorem(strict_implies(sK57_skl,sK56_skl)) ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,plain,
( sQ95_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f233,f677,f688]) ).
fof(f692,definition,
( sQ96_spl
<=> is_a_theorem(sK56_skl) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f693,plain,
( ~ sQ96_spl
| is_a_theorem(sK56_skl) ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f694,plain,
( sQ96_spl
| ~ is_a_theorem(sK56_skl) ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f695,plain,
( ~ sQ96_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f234,f677,f692]) ).
fof(f696,definition,
( sQ97_spl
<=> adjunction ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( ~ sQ97_spl
| adjunction ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f698,plain,
( sQ97_spl
| ~ adjunction ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,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(f700,plain,
! [X0,X1] :
( ~ sQ98_spl
| is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,plain,
( sQ98_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f238,f696,f699]) ).
fof(f703,definition,
( sQ99_spl
<=> is_a_theorem(sK58_skl) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( ~ sQ99_spl
| is_a_theorem(sK58_skl) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f705,plain,
( sQ99_spl
| ~ is_a_theorem(sK58_skl) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,plain,
( sQ99_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f239,f696,f703]) ).
fof(f707,definition,
( sQ100_spl
<=> is_a_theorem(sK59_skl) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( ~ sQ100_spl
| is_a_theorem(sK59_skl) ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f709,plain,
( sQ100_spl
| ~ is_a_theorem(sK59_skl) ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,plain,
( sQ100_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f240,f696,f707]) ).
fof(f711,definition,
( sQ101_spl
<=> is_a_theorem(and(sK58_skl,sK59_skl)) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f712,plain,
( ~ sQ101_spl
| is_a_theorem(and(sK58_skl,sK59_skl)) ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f713,plain,
( sQ101_spl
| ~ is_a_theorem(and(sK58_skl,sK59_skl)) ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,plain,
( ~ sQ101_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f241,f696,f711]) ).
fof(f715,definition,
( sQ102_spl
<=> substitution_strict_equiv ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f716,plain,
( ~ sQ102_spl
| substitution_strict_equiv ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f717,plain,
( sQ102_spl
| ~ substitution_strict_equiv ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,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(f719,plain,
! [X0,X1] :
( ~ sQ103_spl
| X0 = X1
| ~ is_a_theorem(strict_equiv(X0,X1)) ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,plain,
( sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f245,f715,f718]) ).
fof(f722,definition,
( sQ104_spl
<=> is_a_theorem(strict_equiv(sK60_skl,sK61_skl)) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f723,plain,
( ~ sQ104_spl
| is_a_theorem(strict_equiv(sK60_skl,sK61_skl)) ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,plain,
( sQ104_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f246,f715,f722]) ).
fof(f726,definition,
( sQ105_spl
<=> sK60_skl = sK61_skl ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f727,plain,
( ~ sQ105_spl
| sK60_skl = sK61_skl ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f728,plain,
( sQ105_spl
| sK60_skl != sK61_skl ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( ~ sQ105_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f247,f715,f726]) ).
fof(f730,definition,
( sQ106_spl
<=> axiom_K ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( sQ106_spl
| ~ axiom_K ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f733,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(f734,plain,
! [X0,X1] :
( ~ sQ107_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f250,f730,f733]) ).
fof(f737,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(f738,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)],[f737]) ).
fof(f739,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)],[f737]) ).
fof(f741,definition,
( sQ109_spl
<=> axiom_M ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( sQ109_spl
| ~ axiom_M ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,definition,
! [X0] :
( sQ110_spl
<=> is_a_theorem(implies(necessarily(X0),X0)) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f745,plain,
! [X0] :
( ~ sQ110_spl
| is_a_theorem(implies(necessarily(X0),X0)) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,plain,
( sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f254,f741,f744]) ).
fof(f748,definition,
( sQ111_spl
<=> is_a_theorem(implies(necessarily(sK64_skl),sK64_skl)) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f749,plain,
( ~ sQ111_spl
| is_a_theorem(implies(necessarily(sK64_skl),sK64_skl)) ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f750,plain,
( sQ111_spl
| ~ is_a_theorem(implies(necessarily(sK64_skl),sK64_skl)) ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f752,definition,
( sQ112_spl
<=> axiom_4 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( sQ112_spl
| ~ axiom_4 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,definition,
! [X0] :
( sQ113_spl
<=> is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f756,plain,
! [X0] :
( ~ sQ113_spl
| is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f258,f752,f755]) ).
fof(f759,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(f760,plain,
( ~ sQ114_spl
| is_a_theorem(implies(necessarily(sK65_skl),necessarily(necessarily(sK65_skl)))) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f761,plain,
( sQ114_spl
| ~ is_a_theorem(implies(necessarily(sK65_skl),necessarily(necessarily(sK65_skl)))) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f763,definition,
( sQ115_spl
<=> axiom_B ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( sQ115_spl
| ~ axiom_B ),
inference(component_clause,[status(thm)],[f763]) ).
fof(f766,definition,
! [X0] :
( sQ116_spl
<=> is_a_theorem(implies(X0,necessarily(possibly(X0)))) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f767,plain,
! [X0] :
( ~ sQ116_spl
| is_a_theorem(implies(X0,necessarily(possibly(X0)))) ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,plain,
( sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f262,f763,f766]) ).
fof(f770,definition,
( sQ117_spl
<=> is_a_theorem(implies(sK66_skl,necessarily(possibly(sK66_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ117_spl
| is_a_theorem(implies(sK66_skl,necessarily(possibly(sK66_skl)))) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f772,plain,
( sQ117_spl
| ~ is_a_theorem(implies(sK66_skl,necessarily(possibly(sK66_skl)))) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f774,definition,
( sQ118_spl
<=> axiom_5 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f775,plain,
( ~ sQ118_spl
| axiom_5 ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f776,plain,
( sQ118_spl
| ~ axiom_5 ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,definition,
! [X0] :
( sQ119_spl
<=> is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f778,plain,
! [X0] :
( ~ sQ119_spl
| is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( sQ119_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f266,f774,f777]) ).
fof(f781,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(f782,plain,
( ~ sQ120_spl
| is_a_theorem(implies(possibly(sK67_skl),necessarily(possibly(sK67_skl)))) ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f783,plain,
( sQ120_spl
| ~ is_a_theorem(implies(possibly(sK67_skl),necessarily(possibly(sK67_skl)))) ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( ~ sQ120_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f267,f774,f781]) ).
fof(f785,definition,
( sQ121_spl
<=> axiom_s1 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f786,plain,
( ~ sQ121_spl
| axiom_s1 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f787,plain,
( sQ121_spl
| ~ axiom_s1 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,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(f789,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)],[f788]) ).
fof(f791,plain,
( sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f270,f785,f788]) ).
fof(f792,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(f793,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)],[f792]) ).
fof(f794,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)],[f792]) ).
fof(f795,plain,
( ~ sQ123_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f271,f785,f792]) ).
fof(f796,definition,
( sQ124_spl
<=> axiom_s2 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ124_spl
| axiom_s2 ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f798,plain,
( sQ124_spl
| ~ axiom_s2 ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,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(f800,plain,
! [X0,X1] :
( ~ sQ125_spl
| is_a_theorem(strict_implies(possibly(and(X0,X1)),and(possibly(X0),possibly(X1)))) ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( sQ125_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f274,f796,f799]) ).
fof(f803,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(f804,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)],[f803]) ).
fof(f805,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)],[f803]) ).
fof(f806,plain,
( ~ sQ126_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f275,f796,f803]) ).
fof(f807,definition,
( sQ127_spl
<=> axiom_s3 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( ~ sQ127_spl
| axiom_s3 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f809,plain,
( sQ127_spl
| ~ axiom_s3 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,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(f811,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)],[f810]) ).
fof(f813,plain,
( sQ128_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f278,f807,f810]) ).
fof(f814,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(f815,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)],[f814]) ).
fof(f816,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)],[f814]) ).
fof(f817,plain,
( ~ sQ129_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f279,f807,f814]) ).
fof(f818,definition,
( sQ130_spl
<=> axiom_s4 ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f819,plain,
( ~ sQ130_spl
| axiom_s4 ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f820,plain,
( sQ130_spl
| ~ axiom_s4 ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f821,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(f822,plain,
! [X0] :
( ~ sQ131_spl
| is_a_theorem(strict_implies(necessarily(X0),necessarily(necessarily(X0)))) ),
inference(component_clause,[status(thm)],[f821]) ).
fof(f824,plain,
( sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f282,f818,f821]) ).
fof(f825,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(f826,plain,
( ~ sQ132_spl
| is_a_theorem(strict_implies(necessarily(sK75_skl),necessarily(necessarily(sK75_skl)))) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f827,plain,
( sQ132_spl
| ~ is_a_theorem(strict_implies(necessarily(sK75_skl),necessarily(necessarily(sK75_skl)))) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,plain,
( ~ sQ132_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f283,f818,f825]) ).
fof(f829,definition,
( sQ133_spl
<=> axiom_m1 ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ133_spl
| axiom_m1 ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f831,plain,
( sQ133_spl
| ~ axiom_m1 ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,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(f833,plain,
! [X0,X1] :
( ~ sQ134_spl
| is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,plain,
( sQ134_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f286,f829,f832]) ).
fof(f836,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(f837,plain,
( ~ sQ135_spl
| is_a_theorem(strict_implies(and(sK76_skl,sK77_skl),and(sK77_skl,sK76_skl))) ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f838,plain,
( sQ135_spl
| ~ is_a_theorem(strict_implies(and(sK76_skl,sK77_skl),and(sK77_skl,sK76_skl))) ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,plain,
( ~ sQ135_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f287,f829,f836]) ).
fof(f840,definition,
( sQ136_spl
<=> axiom_m2 ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f841,plain,
( ~ sQ136_spl
| axiom_m2 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f842,plain,
( sQ136_spl
| ~ axiom_m2 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,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(f844,plain,
! [X0,X1] :
( ~ sQ137_spl
| is_a_theorem(strict_implies(and(X0,X1),X0)) ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( sQ137_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f290,f840,f843]) ).
fof(f847,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(f848,plain,
( ~ sQ138_spl
| is_a_theorem(strict_implies(and(sK78_skl,sK79_skl),sK78_skl)) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f849,plain,
( sQ138_spl
| ~ is_a_theorem(strict_implies(and(sK78_skl,sK79_skl),sK78_skl)) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,plain,
( ~ sQ138_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f291,f840,f847]) ).
fof(f851,definition,
( sQ139_spl
<=> axiom_m3 ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ139_spl
| axiom_m3 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f853,plain,
( sQ139_spl
| ~ axiom_m3 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,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(f855,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)],[f854]) ).
fof(f857,plain,
( sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f294,f851,f854]) ).
fof(f858,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(f859,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)],[f858]) ).
fof(f860,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)],[f858]) ).
fof(f861,plain,
( ~ sQ141_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f295,f851,f858]) ).
fof(f862,definition,
( sQ142_spl
<=> axiom_m4 ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( ~ sQ142_spl
| axiom_m4 ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f864,plain,
( sQ142_spl
| ~ axiom_m4 ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,definition,
! [X0] :
( sQ143_spl
<=> is_a_theorem(strict_implies(X0,and(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f866,plain,
! [X0] :
( ~ sQ143_spl
| is_a_theorem(strict_implies(X0,and(X0,X0))) ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,plain,
( sQ143_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f298,f862,f865]) ).
fof(f869,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(f870,plain,
( ~ sQ144_spl
| is_a_theorem(strict_implies(sK83_skl,and(sK83_skl,sK83_skl))) ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f871,plain,
( sQ144_spl
| ~ is_a_theorem(strict_implies(sK83_skl,and(sK83_skl,sK83_skl))) ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f872,plain,
( ~ sQ144_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f299,f862,f869]) ).
fof(f873,definition,
( sQ145_spl
<=> axiom_m5 ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f874,plain,
( ~ sQ145_spl
| axiom_m5 ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f875,plain,
( sQ145_spl
| ~ axiom_m5 ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,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(f877,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)],[f876]) ).
fof(f879,plain,
( sQ146_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f302,f873,f876]) ).
fof(f880,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(f881,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)],[f880]) ).
fof(f882,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)],[f880]) ).
fof(f883,plain,
( ~ sQ147_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f303,f873,f880]) ).
fof(f884,definition,
( sQ148_spl
<=> axiom_m6 ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f885,plain,
( ~ sQ148_spl
| axiom_m6 ),
inference(component_clause,[status(thm)],[f884]) ).
fof(f886,plain,
( sQ148_spl
| ~ axiom_m6 ),
inference(component_clause,[status(thm)],[f884]) ).
fof(f887,definition,
! [X0] :
( sQ149_spl
<=> is_a_theorem(strict_implies(X0,possibly(X0))) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f888,plain,
! [X0] :
( ~ sQ149_spl
| is_a_theorem(strict_implies(X0,possibly(X0))) ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f890,plain,
( sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f306,f884,f887]) ).
fof(f891,definition,
( sQ150_spl
<=> is_a_theorem(strict_implies(sK87_skl,possibly(sK87_skl))) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f892,plain,
( ~ sQ150_spl
| is_a_theorem(strict_implies(sK87_skl,possibly(sK87_skl))) ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f893,plain,
( sQ150_spl
| ~ is_a_theorem(strict_implies(sK87_skl,possibly(sK87_skl))) ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f894,plain,
( ~ sQ150_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f307,f884,f891]) ).
fof(f895,definition,
( sQ151_spl
<=> axiom_m7 ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f896,plain,
( ~ sQ151_spl
| axiom_m7 ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f897,plain,
( sQ151_spl
| ~ axiom_m7 ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,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(f899,plain,
! [X0,X1] :
( ~ sQ152_spl
| is_a_theorem(strict_implies(possibly(and(X0,X1)),X0)) ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,plain,
( sQ152_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f310,f895,f898]) ).
fof(f902,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(f903,plain,
( ~ sQ153_spl
| is_a_theorem(strict_implies(possibly(and(sK88_skl,sK89_skl)),sK88_skl)) ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f904,plain,
( sQ153_spl
| ~ is_a_theorem(strict_implies(possibly(and(sK88_skl,sK89_skl)),sK88_skl)) ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,plain,
( ~ sQ153_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f311,f895,f902]) ).
fof(f906,definition,
( sQ154_spl
<=> axiom_m8 ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f907,plain,
( ~ sQ154_spl
| axiom_m8 ),
inference(component_clause,[status(thm)],[f906]) ).
fof(f908,plain,
( sQ154_spl
| ~ axiom_m8 ),
inference(component_clause,[status(thm)],[f906]) ).
fof(f909,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(f910,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)],[f909]) ).
fof(f912,plain,
( sQ155_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f314,f906,f909]) ).
fof(f913,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(f914,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)],[f913]) ).
fof(f915,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)],[f913]) ).
fof(f916,plain,
( ~ sQ156_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f315,f906,f913]) ).
fof(f917,definition,
( sQ157_spl
<=> axiom_m9 ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f918,plain,
( ~ sQ157_spl
| axiom_m9 ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f919,plain,
( sQ157_spl
| ~ axiom_m9 ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f920,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(f921,plain,
! [X0] :
( ~ sQ158_spl
| is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0))) ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f923,plain,
( sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f318,f917,f920]) ).
fof(f924,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(f925,plain,
( ~ sQ159_spl
| is_a_theorem(strict_implies(possibly(possibly(sK92_skl)),possibly(sK92_skl))) ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f926,plain,
( sQ159_spl
| ~ is_a_theorem(strict_implies(possibly(possibly(sK92_skl)),possibly(sK92_skl))) ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,plain,
( ~ sQ159_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f319,f917,f924]) ).
fof(f928,definition,
( sQ160_spl
<=> axiom_m10 ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( ~ sQ160_spl
| axiom_m10 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f930,plain,
( sQ160_spl
| ~ axiom_m10 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,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(f932,plain,
! [X0] :
( ~ sQ161_spl
| is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0)))) ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,plain,
( sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f322,f928,f931]) ).
fof(f935,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(f936,plain,
( ~ sQ162_spl
| is_a_theorem(strict_implies(possibly(sK93_skl),necessarily(possibly(sK93_skl)))) ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f937,plain,
( sQ162_spl
| ~ is_a_theorem(strict_implies(possibly(sK93_skl),necessarily(possibly(sK93_skl)))) ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,plain,
( ~ sQ162_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f323,f928,f935]) ).
fof(f939,definition,
( sQ163_spl
<=> op_possibly ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f941,plain,
( sQ163_spl
| ~ op_possibly ),
inference(component_clause,[status(thm)],[f939]) ).
fof(f942,definition,
! [X0] :
( sQ164_spl
<=> possibly(X0) = not(necessarily(not(X0))) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f943,plain,
! [X0] :
( ~ sQ164_spl
| possibly(X0) = not(necessarily(not(X0))) ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,plain,
( sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f325,f939,f942]) ).
fof(f946,definition,
( sQ165_spl
<=> op_necessarily ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f948,plain,
( sQ165_spl
| ~ op_necessarily ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f949,definition,
! [X0] :
( sQ166_spl
<=> necessarily(X0) = not(possibly(not(X0))) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f327,f946,f949]) ).
fof(f953,definition,
( sQ167_spl
<=> op_strict_implies ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( sQ167_spl
| ~ op_strict_implies ),
inference(component_clause,[status(thm)],[f953]) ).
fof(f956,definition,
! [X0,X1] :
( sQ168_spl
<=> strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( sQ168_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f329,f953,f956]) ).
fof(f960,definition,
( sQ169_spl
<=> op_strict_equiv ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( sQ169_spl
| ~ op_strict_equiv ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,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(f966,plain,
( sQ170_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f331,f960,f963]) ).
fof(f967,plain,
( sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f941,f332]) ).
fof(f968,plain,
sQ163_spl,
inference(contradiction_clause,[status(thm)],[f967]) ).
fof(f969,plain,
( sQ162_spl
| ~ sQ161_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f937,f932]) ).
fof(f970,plain,
( sQ159_spl
| ~ sQ158_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f926,f921]) ).
fof(f971,plain,
( sQ156_spl
| ~ sQ155_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f915,f910]) ).
fof(f972,plain,
( sQ153_spl
| ~ sQ152_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f904,f899]) ).
fof(f973,plain,
( sQ150_spl
| ~ sQ149_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f893,f888]) ).
fof(f974,plain,
( sQ147_spl
| ~ sQ146_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f882,f877]) ).
fof(f975,plain,
( sQ144_spl
| ~ sQ143_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f871,f866]) ).
fof(f976,plain,
( sQ141_spl
| ~ sQ140_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f860,f855]) ).
fof(f977,plain,
( sQ138_spl
| ~ sQ137_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f849,f844]) ).
fof(f978,plain,
( sQ135_spl
| ~ sQ134_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f838,f833]) ).
fof(f979,plain,
( sQ132_spl
| ~ sQ131_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f827,f822]) ).
fof(f980,plain,
( sQ129_spl
| ~ sQ128_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f816,f811]) ).
fof(f981,plain,
( sQ126_spl
| ~ sQ125_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f805,f800]) ).
fof(f982,plain,
( sQ123_spl
| ~ sQ122_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f794,f789]) ).
fof(f983,plain,
( sQ120_spl
| ~ sQ119_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f783,f778]) ).
fof(f984,plain,
( sQ117_spl
| ~ sQ116_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f772,f767]) ).
fof(f985,plain,
( sQ114_spl
| ~ sQ113_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f761,f756]) ).
fof(f986,plain,
( sQ111_spl
| ~ sQ110_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f750,f745]) ).
fof(f987,plain,
( sQ108_spl
| ~ sQ107_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f739,f734]) ).
fof(f988,plain,
( sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f657,f205]) ).
fof(f989,plain,
sQ86_spl,
inference(contradiction_clause,[status(thm)],[f988]) ).
fof(f990,plain,
( sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f643,f204]) ).
fof(f991,plain,
sQ82_spl,
inference(contradiction_clause,[status(thm)],[f990]) ).
fof(f992,plain,
( sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f629,f203]) ).
fof(f993,plain,
sQ78_spl,
inference(contradiction_clause,[status(thm)],[f992]) ).
fof(f994,plain,
( sQ77_spl
| ~ sQ76_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f625,f620]) ).
fof(f995,plain,
( sQ74_spl
| ~ sQ73_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f614,f609]) ).
fof(f996,plain,
( sQ71_spl
| ~ sQ70_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f603,f598]) ).
fof(f997,plain,
( sQ68_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f592,f464]) ).
fof(f998,plain,
( sQ68_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f997]) ).
fof(f999,plain,
( sQ66_spl
| ~ sQ65_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f584,f579]) ).
fof(f1000,plain,
( sQ63_spl
| ~ sQ62_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f573,f568]) ).
fof(f1001,plain,
( sQ60_spl
| ~ sQ59_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f562,f557]) ).
fof(f1002,plain,
( sQ57_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f551,f409]) ).
fof(f1003,plain,
( sQ57_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1002]) ).
fof(f1004,plain,
( sQ55_spl
| ~ sQ54_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f543,f538]) ).
fof(f1005,plain,
( sQ52_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f532,f420]) ).
fof(f1006,plain,
( sQ52_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1005]) ).
fof(f1007,plain,
( sQ50_spl
| ~ sQ49_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f524,f519]) ).
fof(f1008,plain,
( sQ47_spl
| ~ sQ46_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f513,f508]) ).
fof(f1009,plain,
( sQ44_spl
| ~ sQ43_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f502,f497]) ).
fof(f1010,plain,
( sQ41_spl
| ~ sQ40_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f491,f486]) ).
fof(f1011,plain,
( sQ38_spl
| ~ sQ37_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f480,f475]) ).
fof(f1012,plain,
( sQ32_spl
| ~ sQ31_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f458,f453]) ).
fof(f1013,plain,
( sQ29_spl
| ~ sQ28_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f447,f442]) ).
fof(f1014,plain,
( sQ26_spl
| ~ sQ25_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f436,f431]) ).
fof(f1015,plain,
( sQ17_spl
| ~ sQ16_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f403,f398]) ).
fof(f1016,plain,
( sQ14_spl
| ~ sQ13_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f392,f387]) ).
fof(f1017,plain,
( sQ11_spl
| ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f381,f376]) ).
fof(f1018,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f340,f206]) ).
fof(f1019,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f1018]) ).
fof(f1020,plain,
( sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f333]) ).
fof(f1021,plain,
sQ88_spl,
inference(contradiction_clause,[status(thm)],[f1020]) ).
fof(f1022,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f359,f220]) ).
fof(f1023,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f1022]) ).
fof(f1024,plain,
( sQ162_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f969]) ).
fof(f1025,plain,
( sQ159_spl
| ~ sQ158_spl ),
inference(contradiction_clause,[status(thm)],[f970]) ).
fof(f1026,plain,
( sQ156_spl
| ~ sQ155_spl ),
inference(contradiction_clause,[status(thm)],[f971]) ).
fof(f1027,plain,
( sQ153_spl
| ~ sQ152_spl ),
inference(contradiction_clause,[status(thm)],[f972]) ).
fof(f1028,plain,
( sQ150_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f973]) ).
fof(f1029,plain,
( sQ147_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f974]) ).
fof(f1030,plain,
( sQ144_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f975]) ).
fof(f1031,plain,
( sQ141_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f976]) ).
fof(f1032,plain,
( sQ138_spl
| ~ sQ137_spl ),
inference(contradiction_clause,[status(thm)],[f977]) ).
fof(f1033,plain,
( sQ135_spl
| ~ sQ134_spl ),
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f1034,plain,
( sQ132_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f979]) ).
fof(f1035,plain,
( sQ129_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f980]) ).
fof(f1036,plain,
( sQ126_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f981]) ).
fof(f1037,plain,
( sQ123_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f982]) ).
fof(f1038,plain,
( sQ120_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f983]) ).
fof(f1039,plain,
( sQ117_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f1040,plain,
( sQ114_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f985]) ).
fof(f1041,plain,
( sQ111_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f986]) ).
fof(f1042,plain,
( sQ108_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f987]) ).
fof(f1043,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)],[f1047,f538]) ).
fof(f1044,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)],[f1047,f376]) ).
fof(f1045,plain,
! [X0,X1] :
( ~ sQ59_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,or(X0,X1))) ),
inference(backward_demodulation,[status(thm)],[f1047,f557]) ).
fof(f1046,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(X0,X0),X0)) ),
inference(backward_demodulation,[status(thm)],[f1047,f568]) ).
fof(f1047,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| or(X0,X1) = implies(not(X0),X1) ),
inference(forward_demodulation,[status(thm)],[f645,f631]) ).
fof(f1048,plain,
( sQ77_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f1049,plain,
( sQ74_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f995]) ).
fof(f1050,plain,
( sQ71_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f996]) ).
fof(f1051,plain,
( sQ66_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f999]) ).
fof(f1052,plain,
( sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1000]) ).
fof(f1053,plain,
( sQ60_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1001]) ).
fof(f1054,plain,
( sQ35_spl
| ~ sQ34_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f469,f464]) ).
fof(f1055,plain,
( sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1004]) ).
fof(f1056,plain,
( sQ20_spl
| ~ sQ19_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f414,f409]) ).
fof(f1057,plain,
( sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1007]) ).
fof(f1058,plain,
( sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1008]) ).
fof(f1059,plain,
( sQ44_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1009]) ).
fof(f1060,plain,
( sQ41_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1010]) ).
fof(f1061,plain,
( sQ38_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1011]) ).
fof(f1062,plain,
( sQ32_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1012]) ).
fof(f1063,plain,
( sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1013]) ).
fof(f1064,plain,
( sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1014]) ).
fof(f1065,plain,
( sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1015]) ).
fof(f1066,plain,
( sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1016]) ).
fof(f1067,plain,
( sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1017]) ).
fof(f1068,plain,
( sQ23_spl
| ~ sQ22_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f425,f420]) ).
fof(f1069,plain,
( sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f765,f337]) ).
fof(f1070,plain,
sQ115_spl,
inference(contradiction_clause,[status(thm)],[f1069]) ).
fof(f1071,plain,
( sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f754,f336]) ).
fof(f1072,plain,
sQ112_spl,
inference(contradiction_clause,[status(thm)],[f1071]) ).
fof(f1073,plain,
( sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f743,f335]) ).
fof(f1074,plain,
sQ109_spl,
inference(contradiction_clause,[status(thm)],[f1073]) ).
fof(f1075,plain,
( sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f732,f334]) ).
fof(f1076,plain,
sQ106_spl,
inference(contradiction_clause,[status(thm)],[f1075]) ).
fof(f1077,plain,
( sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ is_a_theorem(implies(or(sK43_skl,sK43_skl),sK43_skl)) ),
inference(forward_demodulation,[status(thm)],[f1047,f573]) ).
fof(f1078,plain,
( sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ is_a_theorem(implies(sK41_skl,or(sK41_skl,sK42_skl))) ),
inference(forward_demodulation,[status(thm)],[f1047,f562]) ).
fof(f1079,plain,
( sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1054]) ).
fof(f1080,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)],[f1047,f543]) ).
fof(f1081,plain,
( sQ20_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1056]) ).
fof(f1082,plain,
( sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f506,f219]) ).
fof(f1083,plain,
sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1082]) ).
fof(f1084,plain,
( sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f495,f218]) ).
fof(f1085,plain,
sQ42_spl,
inference(contradiction_clause,[status(thm)],[f1084]) ).
fof(f1086,plain,
( sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f484,f217]) ).
fof(f1087,plain,
sQ39_spl,
inference(contradiction_clause,[status(thm)],[f1086]) ).
fof(f1088,plain,
( sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f473,f216]) ).
fof(f1089,plain,
sQ36_spl,
inference(contradiction_clause,[status(thm)],[f1088]) ).
fof(f1090,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f451,f214]) ).
fof(f1091,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1090]) ).
fof(f1092,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f440,f213]) ).
fof(f1093,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f1092]) ).
fof(f1094,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f429,f212]) ).
fof(f1095,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f1094]) ).
fof(f1096,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f396,f209]) ).
fof(f1097,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f1096]) ).
fof(f1098,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f385,f208]) ).
fof(f1099,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1098]) ).
fof(f1100,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)],[f1047,f381]) ).
fof(f1101,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f207]) ).
fof(f1102,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f1101]) ).
fof(f1103,plain,
( sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1068]) ).
fof(f1104,plain,
( sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f462,f215]) ).
fof(f1105,plain,
sQ33_spl,
inference(contradiction_clause,[status(thm)],[f1104]) ).
fof(f1106,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f407,f210]) ).
fof(f1107,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f1106]) ).
fof(f1108,plain,
( sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1078,f453]) ).
fof(f1109,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)],[f1047,f380]) ).
fof(f1110,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f418,f211]) ).
fof(f1111,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f1110]) ).
fof(f1112,plain,
( sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1108]) ).
fof(f1113,plain,
( ~ sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(sK41_skl,or(sK41_skl,sK42_skl))) ),
inference(forward_demodulation,[status(thm)],[f1047,f561]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ164_spl
| possibly(necessarily(not(X0))) = not(necessarily(possibly(X0))) ),
inference(paramodulation,[status(thm)],[f943,f943]) ).
fof(f1115,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| implies(X0,and(X1,not(X2))) = not(and(X0,implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f645,f645]) ).
fof(f1116,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| implies(X0,necessarily(not(X1))) = not(and(X0,possibly(X1))) ),
inference(paramodulation,[status(thm)],[f943,f645]) ).
fof(f1117,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| possibly(and(X0,not(X1))) = not(necessarily(implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f645,f943]) ).
fof(f1118,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,not(X1)),X2) = implies(implies(X0,X1),X2) ),
inference(paramodulation,[status(thm)],[f645,f1047]) ).
fof(f1119,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| or(necessarily(not(X0)),X1) = implies(possibly(X0),X1) ),
inference(paramodulation,[status(thm)],[f943,f1047]) ).
fof(f1120,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)],[f1047,f659]) ).
fof(f1121,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)],[f1047,f659]) ).
fof(f1122,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)],[f1047,f342]) ).
fof(f1123,plain,
( ~ sQ95_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(strict_implies(sK57_skl,sK56_skl))) ),
inference(resolution,[status(thm)],[f666,f689]) ).
fof(f1124,plain,
( ~ sQ94_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(sK57_skl)) ),
inference(resolution,[status(thm)],[f666,f685]) ).
fof(f1125,plain,
( ~ sQ100_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(sK59_skl)) ),
inference(resolution,[status(thm)],[f666,f708]) ).
fof(f1126,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(sK58_skl)) ),
inference(resolution,[status(thm)],[f666,f704]) ).
fof(f1127,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f666,f723]) ).
fof(f1128,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| is_a_theorem(necessarily(necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1124,f666]) ).
fof(f1129,plain,
( ~ sQ89_spl
| ~ sQ100_spl
| is_a_theorem(necessarily(necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1125,f666]) ).
fof(f1130,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1126,f666]) ).
fof(f1131,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| is_a_theorem(X0)
| ~ is_a_theorem(necessarily(X0)) ),
inference(resolution,[status(thm)],[f745,f342]) ).
fof(f1132,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(implies(necessarily(X0),X0))) ),
inference(resolution,[status(thm)],[f745,f666]) ).
fof(f1133,plain,
( ~ sQ89_spl
| ~ sQ94_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1128,f666]) ).
fof(f1134,plain,
( ~ sQ89_spl
| ~ sQ100_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1129,f666]) ).
fof(f1135,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1130,f666]) ).
fof(f1142,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f453,f342]) ).
fof(f1143,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(X0,or(X0,X1)))) ),
inference(resolution,[status(thm)],[f453,f666]) ).
fof(f1144,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f1047,f453]) ).
fof(f1145,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(X1)
| ~ is_a_theorem(and(X0,X1)) ),
inference(resolution,[status(thm)],[f431,f342]) ).
fof(f1146,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(and(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f431,f666]) ).
fof(f1147,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f659,f431]) ).
fof(f1148,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f387,f342]) ).
fof(f1149,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f387,f666]) ).
fof(f1150,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f387]) ).
fof(f1151,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1047,f387]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(X0)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f767,f342]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(implies(X0,necessarily(possibly(X0))))) ),
inference(resolution,[status(thm)],[f767,f666]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(or(X0,necessarily(possibly(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1047,f767]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ113_spl
| is_a_theorem(necessarily(necessarily(X0)))
| ~ is_a_theorem(necessarily(X0)) ),
inference(resolution,[status(thm)],[f756,f342]) ).
fof(f1156,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(necessarily(implies(necessarily(X0),necessarily(necessarily(X0))))) ),
inference(resolution,[status(thm)],[f756,f666]) ).
fof(f1157,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)],[f734,f342]) ).
fof(f1158,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)],[f734,f666]) ).
fof(f1159,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)],[f1047,f734]) ).
fof(f1160,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)],[f508,f342]) ).
fof(f1161,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)],[f508,f666]) ).
fof(f1162,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)],[f1047,f508]) ).
fof(f1163,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)],[f1047,f508]) ).
fof(f1164,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f464,f342]) ).
fof(f1165,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,or(X1,X0)))) ),
inference(resolution,[status(thm)],[f464,f666]) ).
fof(f1166,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f464]) ).
fof(f1167,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ43_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(resolution,[status(thm)],[f497,f342]) ).
fof(f1168,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f497,f666]) ).
fof(f1169,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(X0,not(X1)),or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1047,f497]) ).
fof(f1170,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(X0)
| ~ is_a_theorem(and(X0,X1)) ),
inference(resolution,[status(thm)],[f420,f342]) ).
fof(f1171,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(and(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f420,f666]) ).
fof(f1172,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f659,f420]) ).
fof(f1173,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f1142,f497]) ).
fof(f1174,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f1142,f508]) ).
fof(f1175,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(and(X0,X1),X0),X2)) ),
inference(resolution,[status(thm)],[f1142,f420]) ).
fof(f1176,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(and(X0,X1),X1),X2)) ),
inference(resolution,[status(thm)],[f1142,f431]) ).
fof(f1177,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),X2)) ),
inference(resolution,[status(thm)],[f1142,f734]) ).
fof(f1178,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(necessarily(X0),necessarily(necessarily(X0))),X1)) ),
inference(resolution,[status(thm)],[f1142,f756]) ).
fof(f1179,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(necessarily(X0),X0),X1)) ),
inference(resolution,[status(thm)],[f1142,f745]) ).
fof(f1180,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,necessarily(possibly(X0))),X1)) ),
inference(resolution,[status(thm)],[f1142,f767]) ).
fof(f1181,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f1142,f387]) ).
fof(f1182,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f1142,f464]) ).
fof(f1183,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(X0,or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f1142,f453]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(necessarily(necessarily(sK58_skl)),X0)) ),
inference(resolution,[status(thm)],[f1142,f1130]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(necessarily(necessarily(sK59_skl)),X0)) ),
inference(resolution,[status(thm)],[f1142,f1129]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(necessarily(necessarily(sK57_skl)),X0)) ),
inference(resolution,[status(thm)],[f1142,f1128]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(necessarily(sK58_skl),X0)) ),
inference(resolution,[status(thm)],[f1142,f1126]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(necessarily(sK59_skl),X0)) ),
inference(resolution,[status(thm)],[f1142,f1125]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(necessarily(sK57_skl),X0)) ),
inference(resolution,[status(thm)],[f1142,f1124]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(strict_implies(sK57_skl,sK56_skl),X0)) ),
inference(resolution,[status(thm)],[f1142,f689]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(sK57_skl,X0)) ),
inference(resolution,[status(thm)],[f1142,f685]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(sK59_skl,X0)) ),
inference(resolution,[status(thm)],[f1142,f708]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(sK58_skl,X0)) ),
inference(resolution,[status(thm)],[f1142,f704]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(strict_equiv(sK60_skl,sK61_skl),X0)) ),
inference(resolution,[status(thm)],[f1142,f723]) ).
fof(f1195,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ94_spl
| is_a_theorem(or(or(sK57_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f1191,f1142]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(sK57_skl,X0))) ),
inference(resolution,[status(thm)],[f1191,f666]) ).
fof(f1197,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ100_spl
| is_a_theorem(or(or(sK59_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f1192,f1142]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(sK59_skl,X0))) ),
inference(resolution,[status(thm)],[f1192,f666]) ).
fof(f1199,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(resolution,[status(thm)],[f486,f342]) ).
fof(f1200,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ40_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f486,f1142]) ).
fof(f1201,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f486,f666]) ).
fof(f1202,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(not(X0),X1),or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f486]) ).
fof(f1203,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)],[f475,f342]) ).
fof(f1204,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_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)],[f475,f1142]) ).
fof(f1205,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)],[f475,f666]) ).
fof(f1206,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)],[f1047,f475]) ).
fof(f1207,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)],[f1047,f475]) ).
fof(f1208,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X1,and(X0,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f442,f342]) ).
fof(f1209,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| is_a_theorem(or(implies(X0,implies(X1,and(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f442,f1142]) ).
fof(f1210,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,and(X0,X1))))) ),
inference(resolution,[status(thm)],[f442,f666]) ).
fof(f1211,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,implies(X1,and(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f442]) ).
fof(f1212,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,or(X1,and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1047,f442]) ).
fof(f1213,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)],[f659,f442]) ).
fof(f1214,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)],[f398,f342]) ).
fof(f1215,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ16_spl
| is_a_theorem(or(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f398,f1142]) ).
fof(f1216,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f398,f666]) ).
fof(f1217,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)],[f1047,f398]) ).
fof(f1220,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)],[f1047,f1217]) ).
fof(f1221,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)],[f1047,f1220]) ).
fof(f1226,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| is_a_theorem(or(or(sK58_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f1193,f1142]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(sK58_skl,X0))) ),
inference(resolution,[status(thm)],[f1193,f666]) ).
fof(f1228,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)],[f1044,f342]) ).
fof(f1229,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(implies(or(X0,not(X1)),implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f1044,f1142]) ).
fof(f1230,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)],[f1044,f666]) ).
fof(f1231,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)],[f645,f1044]) ).
fof(f1232,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)],[f943,f1044]) ).
fof(f1233,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)],[f1047,f1044]) ).
fof(f1234,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1145]) ).
fof(f1235,plain,
! [X0,X1] :
( ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f1148,f1193]) ).
fof(f1236,plain,
! [X0,X1] :
( ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f1148,f1192]) ).
fof(f1237,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(sK57_skl,X1))) ),
inference(resolution,[status(thm)],[f1148,f1191]) ).
fof(f1238,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1148,f1044]) ).
fof(f1239,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1148,f486]) ).
fof(f1240,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1148,f497]) ).
fof(f1241,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1148,f398]) ).
fof(f1242,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))))) ),
inference(resolution,[status(thm)],[f1148,f475]) ).
fof(f1243,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))) ),
inference(resolution,[status(thm)],[f1148,f508]) ).
fof(f1244,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f1148,f420]) ).
fof(f1245,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f1148,f431]) ).
fof(f1246,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1148,f734]) ).
fof(f1247,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(necessarily(X1),necessarily(necessarily(X1))))) ),
inference(resolution,[status(thm)],[f1148,f756]) ).
fof(f1248,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f1148,f745]) ).
fof(f1249,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(possibly(X1))))) ),
inference(resolution,[status(thm)],[f1148,f767]) ).
fof(f1250,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,and(X1,X2))))) ),
inference(resolution,[status(thm)],[f1148,f442]) ).
fof(f1251,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1148,f387]) ).
fof(f1252,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1148,f464]) ).
fof(f1253,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1148,f453]) ).
fof(f1254,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1148,f1130]) ).
fof(f1255,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1148,f1129]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,necessarily(necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1148,f1128]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1148,f1126]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1148,f1125]) ).
fof(f1259,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1148,f1124]) ).
fof(f1260,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,strict_implies(sK57_skl,sK56_skl))) ),
inference(resolution,[status(thm)],[f1148,f689]) ).
fof(f1261,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,sK57_skl)) ),
inference(resolution,[status(thm)],[f1148,f685]) ).
fof(f1262,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,sK59_skl)) ),
inference(resolution,[status(thm)],[f1148,f708]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f1148,f704]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1148,f723]) ).
fof(f1266,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ94_spl
| is_a_theorem(implies(X0,implies(X1,sK57_skl))) ),
inference(resolution,[status(thm)],[f1261,f1148]) ).
fof(f1267,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ94_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,sK57_skl),X1)) ),
inference(resolution,[status(thm)],[f1261,f1142]) ).
fof(f1268,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,sK57_skl))) ),
inference(resolution,[status(thm)],[f1261,f666]) ).
fof(f1269,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,sK57_skl)) ),
inference(paramodulation,[status(thm)],[f1047,f1261]) ).
fof(f1270,definition,
! [X0] :
( sQ171_spl
<=> ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1271,plain,
! [X0] :
( ~ sQ171_spl
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f1270]) ).
fof(f1275,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ100_spl
| is_a_theorem(implies(X0,implies(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f1262,f1148]) ).
fof(f1276,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ100_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,sK59_skl),X1)) ),
inference(resolution,[status(thm)],[f1262,f1142]) ).
fof(f1277,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,sK59_skl))) ),
inference(resolution,[status(thm)],[f1262,f666]) ).
fof(f1278,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,sK59_skl)) ),
inference(paramodulation,[status(thm)],[f1047,f1262]) ).
fof(f1280,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)],[f409,f342]) ).
fof(f1281,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f409,f1148]) ).
fof(f1282,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ19_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f409,f1142]) ).
fof(f1283,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)],[f409,f666]) ).
fof(f1284,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)],[f1047,f409]) ).
fof(f1285,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)],[f1047,f409]) ).
fof(f1287,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)],[f1047,f1284]) ).
fof(f1289,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(X0,possibly(necessarily(not(X1)))),implies(necessarily(possibly(X1)),X0))) ),
inference(paramodulation,[status(thm)],[f1114,f1044]) ).
fof(f1290,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| or(necessarily(possibly(X0)),X1) = implies(possibly(necessarily(not(X0))),X1) ),
inference(paramodulation,[status(thm)],[f1114,f1047]) ).
fof(f1295,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| implies(implies(X0,X1),and(X1,not(X0))) = not(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1115]) ).
fof(f1296,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| implies(X0,and(not(X1),not(X2))) = not(and(X0,or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f1047,f1115]) ).
fof(f1297,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,not(X3)))),implies(and(X1,implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f1115,f1044]) ).
fof(f1298,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,X2)),X3) = implies(implies(X0,and(X1,not(X2))),X3) ),
inference(paramodulation,[status(thm)],[f1115,f1047]) ).
fof(f1303,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,implies(X1,necessarily(not(X2)))),implies(and(X1,possibly(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1116,f1044]) ).
fof(f1304,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,possibly(X1)),X2) = implies(implies(X0,necessarily(not(X1))),X2) ),
inference(paramodulation,[status(thm)],[f1116,f1047]) ).
fof(f1310,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1263,f1148]) ).
fof(f1311,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,sK58_skl),X1)) ),
inference(resolution,[status(thm)],[f1263,f1142]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f1263,f666]) ).
fof(f1313,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(paramodulation,[status(thm)],[f1047,f1263]) ).
fof(f1315,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| possibly(and(not(X0),not(X1))) = not(necessarily(or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f1117]) ).
fof(f1316,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,possibly(and(X1,not(X2)))),implies(necessarily(implies(X1,X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1117,f1044]) ).
fof(f1317,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,X1)),X2) = implies(possibly(and(X0,not(X1))),X2) ),
inference(paramodulation,[status(thm)],[f1117,f1047]) ).
fof(f1322,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| is_a_theorem(implies(X0,or(X1,sK57_skl))) ),
inference(resolution,[status(thm)],[f1269,f1148]) ).
fof(f1323,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ13_spl
| is_a_theorem(or(or(X0,sK57_skl),X1)) ),
inference(resolution,[status(thm)],[f1269,f1142]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(X0,sK57_skl))) ),
inference(resolution,[status(thm)],[f1269,f666]) ).
fof(f1325,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| is_a_theorem(implies(X0,or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f1278,f1148]) ).
fof(f1326,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| is_a_theorem(or(or(X0,sK59_skl),X1)) ),
inference(resolution,[status(thm)],[f1278,f1142]) ).
fof(f1327,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(X0,sK59_skl))) ),
inference(resolution,[status(thm)],[f1278,f666]) ).
fof(f1328,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,or(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1313,f1148]) ).
fof(f1329,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(or(X0,sK58_skl),X1)) ),
inference(resolution,[status(thm)],[f1313,f1142]) ).
fof(f1330,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f1313,f666]) ).
fof(f1331,plain,
! [X0,X1] :
( ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f1164,f1193]) ).
fof(f1332,plain,
! [X0,X1] :
( ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f1164,f1192]) ).
fof(f1333,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(sK57_skl,X1))) ),
inference(resolution,[status(thm)],[f1164,f1191]) ).
fof(f1334,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1164,f1313]) ).
fof(f1335,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f1164,f1278]) ).
fof(f1336,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(X1,sK57_skl))) ),
inference(resolution,[status(thm)],[f1164,f1269]) ).
fof(f1337,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1164,f1044]) ).
fof(f1338,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1164,f486]) ).
fof(f1339,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1164,f497]) ).
fof(f1340,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1164,f398]) ).
fof(f1341,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))))) ),
inference(resolution,[status(thm)],[f1164,f475]) ).
fof(f1342,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f1164,f409]) ).
fof(f1343,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))) ),
inference(resolution,[status(thm)],[f1164,f508]) ).
fof(f1344,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f1164,f420]) ).
fof(f1345,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f1164,f431]) ).
fof(f1346,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1164,f734]) ).
fof(f1347,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(necessarily(X1),necessarily(necessarily(X1))))) ),
inference(resolution,[status(thm)],[f1164,f756]) ).
fof(f1348,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f1164,f745]) ).
fof(f1349,plain,
! [X0,X1] :
( ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1164,f1263]) ).
fof(f1350,plain,
! [X0,X1] :
( ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f1164,f1262]) ).
fof(f1351,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,sK57_skl))) ),
inference(resolution,[status(thm)],[f1164,f1261]) ).
fof(f1352,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,necessarily(possibly(X1))))) ),
inference(resolution,[status(thm)],[f1164,f767]) ).
fof(f1353,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,and(X1,X2))))) ),
inference(resolution,[status(thm)],[f1164,f442]) ).
fof(f1354,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1164,f387]) ).
fof(f1355,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1164,f464]) ).
fof(f1356,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1164,f453]) ).
fof(f1357,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1164,f1130]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1164,f1129]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,necessarily(necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1164,f1128]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1164,f1126]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1164,f1125]) ).
fof(f1362,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1164,f1124]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,strict_implies(sK57_skl,sK56_skl))) ),
inference(resolution,[status(thm)],[f1164,f689]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,sK57_skl)) ),
inference(resolution,[status(thm)],[f1164,f685]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,sK59_skl)) ),
inference(resolution,[status(thm)],[f1164,f708]) ).
fof(f1366,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f1164,f704]) ).
fof(f1367,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1164,f723]) ).
fof(f1368,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,necessarily(not(X2)))),X3) = implies(implies(X0,and(X1,possibly(X2))),X3) ),
inference(paramodulation,[status(thm)],[f1116,f1118]) ).
fof(f1369,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,and(X2,not(X3)))),X4) = implies(implies(X0,and(X1,implies(X2,X3))),X4) ),
inference(paramodulation,[status(thm)],[f1115,f1118]) ).
fof(f1371,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(and(X0,possibly(and(X1,not(X2)))),X3) = implies(implies(X0,necessarily(implies(X1,X2))),X3) ),
inference(paramodulation,[status(thm)],[f1117,f1118]) ).
fof(f1372,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,possibly(necessarily(not(X1)))),X2) = implies(implies(X0,necessarily(possibly(X1))),X2) ),
inference(paramodulation,[status(thm)],[f1114,f1118]) ).
fof(f1377,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,X1),not(X2)),implies(X2,and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1118,f1044]) ).
fof(f1378,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)],[f1118,f475]) ).
fof(f1379,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f1118,f464]) ).
fof(f1380,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)],[f1118,f453]) ).
fof(f1381,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,necessarily(not(X1)))),X2) = implies(possibly(and(X0,possibly(X1))),X2) ),
inference(paramodulation,[status(thm)],[f1116,f1119]) ).
fof(f1382,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,and(X1,not(X2)))),X3) = implies(possibly(and(X0,implies(X1,X2))),X3) ),
inference(paramodulation,[status(thm)],[f1115,f1119]) ).
fof(f1384,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(possibly(and(X0,not(X1)))),X2) = implies(possibly(necessarily(implies(X0,X1))),X2) ),
inference(paramodulation,[status(thm)],[f1117,f1119]) ).
fof(f1385,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| or(necessarily(possibly(necessarily(not(X0)))),X1) = implies(possibly(necessarily(possibly(X0))),X1) ),
inference(paramodulation,[status(thm)],[f1114,f1119]) ).
fof(f1390,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)],[f1119,f1044]) ).
fof(f1391,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)],[f1119,f475]) ).
fof(f1392,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(X1),X0))) ),
inference(paramodulation,[status(thm)],[f1119,f464]) ).
fof(f1393,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)],[f1119,f453]) ).
fof(f1394,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)],[f1047,f1120]) ).
fof(f1395,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,not(and(X1,possibly(X2)))) = and(implies(X0,implies(X1,necessarily(not(X2)))),or(and(X1,possibly(X2)),X0)) ),
inference(paramodulation,[status(thm)],[f1116,f1120]) ).
fof(f1396,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,not(and(X1,implies(X2,X3)))) = and(implies(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),X0)) ),
inference(paramodulation,[status(thm)],[f1115,f1120]) ).
fof(f1398,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,not(necessarily(implies(X1,X2)))) = and(implies(X0,possibly(and(X1,not(X2)))),or(necessarily(implies(X1,X2)),X0)) ),
inference(paramodulation,[status(thm)],[f1117,f1120]) ).
fof(f1399,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(X0,not(necessarily(possibly(X1)))) = and(implies(X0,possibly(necessarily(not(X1)))),or(necessarily(possibly(X1)),X0)) ),
inference(paramodulation,[status(thm)],[f1114,f1120]) ).
fof(f1403,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f1120,f1145]) ).
fof(f1404,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)],[f1120,f442]) ).
fof(f1405,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)],[f1120,f420]) ).
fof(f1406,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)],[f1120,f431]) ).
fof(f1407,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,necessarily(not(X2)))) = and(implies(X0,implies(X1,necessarily(not(X2)))),or(and(X1,possibly(X2)),X0)) ),
inference(forward_demodulation,[status(thm)],[f1116,f1395]) ).
fof(f1408,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,and(X2,not(X3)))) = and(implies(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),X0)) ),
inference(forward_demodulation,[status(thm)],[f1115,f1396]) ).
fof(f1411,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(and(X1,not(X2)))) = and(implies(X0,possibly(and(X1,not(X2)))),or(necessarily(implies(X1,X2)),X0)) ),
inference(forward_demodulation,[status(thm)],[f1117,f1398]) ).
fof(f1412,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(X0,possibly(necessarily(not(X1)))) = and(implies(X0,possibly(necessarily(not(X1)))),or(necessarily(possibly(X1)),X0)) ),
inference(forward_demodulation,[status(thm)],[f1114,f1399]) ).
fof(f1422,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(not(and(X0,possibly(X1))),X2) = and(or(and(X0,possibly(X1)),X2),implies(X2,implies(X0,necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1116,f1121]) ).
fof(f1423,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(not(and(X0,implies(X1,X2))),X3) = and(or(and(X0,implies(X1,X2)),X3),implies(X3,implies(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1115,f1121]) ).
fof(f1425,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(not(necessarily(implies(X0,X1))),X2) = and(or(necessarily(implies(X0,X1)),X2),implies(X2,possibly(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1117,f1121]) ).
fof(f1426,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(not(necessarily(possibly(X0))),X1) = and(or(necessarily(possibly(X0)),X1),implies(X1,possibly(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1114,f1121]) ).
fof(f1428,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| implies(or(X0,X1),and(X1,not(not(X0)))) = not(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f1121,f1115]) ).
fof(f1429,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f1121,f1145]) ).
fof(f1430,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)],[f1121,f442]) ).
fof(f1431,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)],[f1121,f420]) ).
fof(f1432,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)],[f1121,f431]) ).
fof(f1437,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,necessarily(not(X1))),X2) = and(or(and(X0,possibly(X1)),X2),implies(X2,implies(X0,necessarily(not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f1422]) ).
fof(f1438,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,not(X2))),X3) = and(or(and(X0,implies(X1,X2)),X3),implies(X3,implies(X0,and(X1,not(X2))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f1423]) ).
fof(f1441,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(and(X0,not(X1))),X2) = and(or(necessarily(implies(X0,X1)),X2),implies(X2,possibly(and(X0,not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f1425]) ).
fof(f1442,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(possibly(necessarily(not(X0))),X1) = and(or(necessarily(possibly(X0)),X1),implies(X1,possibly(necessarily(not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f1426]) ).
fof(f1445,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f1121,f1170]) ).
fof(f1446,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(X1)))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f1120,f1170]) ).
fof(f1447,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1170]) ).
fof(f1448,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(sK58_skl)) ),
inference(resolution,[status(thm)],[f1122,f1193]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(sK59_skl)) ),
inference(resolution,[status(thm)],[f1122,f1192]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(sK57_skl)) ),
inference(resolution,[status(thm)],[f1122,f1191]) ).
fof(f1456,definition,
( sQ172_spl
<=> is_a_theorem(not(sK58_skl)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1458,plain,
( sQ172_spl
| ~ is_a_theorem(not(sK58_skl)) ),
inference(component_clause,[status(thm)],[f1456]) ).
fof(f1459,definition,
! [X0] :
( sQ173_spl
<=> is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ173_spl
| is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f1459]) ).
fof(f1462,plain,
( ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f1448,f1456,f1459,f644,f630,f452,f341,f703]) ).
fof(f1463,definition,
( sQ174_spl
<=> is_a_theorem(not(sK59_skl)) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1465,plain,
( sQ174_spl
| ~ is_a_theorem(not(sK59_skl)) ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1466,plain,
( ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f1449,f1463,f1459,f644,f630,f452,f341,f707]) ).
fof(f1467,definition,
( sQ175_spl
<=> is_a_theorem(not(sK57_skl)) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1469,plain,
( sQ175_spl
| ~ is_a_theorem(not(sK57_skl)) ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1470,plain,
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f1450,f1467,f1459,f644,f630,f452,f341,f684]) ).
fof(f1471,definition,
! [X0] :
( sQ176_spl
<=> ~ is_a_theorem(not(X0)) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1472,plain,
! [X0] :
( ~ sQ176_spl
| ~ is_a_theorem(not(X0)) ),
inference(component_clause,[status(thm)],[f1471]) ).
fof(f1479,plain,
( sQ132_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f827,f1460]) ).
fof(f1480,plain,
( sQ144_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f871,f1460]) ).
fof(f1481,plain,
( sQ135_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f838,f1460]) ).
fof(f1482,plain,
( sQ138_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f849,f1460]) ).
fof(f1483,plain,
( sQ141_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f860,f1460]) ).
fof(f1484,plain,
( sQ147_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f882,f1460]) ).
fof(f1485,plain,
( sQ150_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f893,f1460]) ).
fof(f1486,plain,
( sQ129_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f816,f1460]) ).
fof(f1487,plain,
( sQ156_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f915,f1460]) ).
fof(f1488,plain,
( sQ126_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f805,f1460]) ).
fof(f1489,plain,
( sQ153_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f904,f1460]) ).
fof(f1490,plain,
( sQ159_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f926,f1460]) ).
fof(f1491,plain,
( sQ162_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f937,f1460]) ).
fof(f1492,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ sQ173_spl
| X0 = X1 ),
inference(backward_subsumption_resolution,[status(thm)],[f361,f1460]) ).
fof(f1493,plain,
( sQ50_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f524,f1460]) ).
fof(f1494,plain,
( sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1077,f1460]) ).
fof(f1495,plain,
( sQ66_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f584,f1460]) ).
fof(f1496,plain,
( sQ71_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f603,f1460]) ).
fof(f1497,plain,
( sQ74_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f614,f1460]) ).
fof(f1498,plain,
( sQ55_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1080,f1460]) ).
fof(f1499,plain,
( sQ77_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f625,f1460]) ).
fof(f1500,plain,
( sQ120_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f783,f1460]) ).
fof(f1501,plain,
( sQ123_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f794,f1460]) ).
fof(f1502,plain,
( sQ96_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f694,f1460]) ).
fof(f1503,plain,
( sQ101_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f713,f1460]) ).
fof(f1504,plain,
( sQ132_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1479]) ).
fof(f1559,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)],[f1121,f420]) ).
fof(f1560,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)],[f1120,f420]) ).
fof(f1561,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f659,f420]) ).
fof(f1570,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)],[f1121,f431]) ).
fof(f1571,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)],[f1120,f431]) ).
fof(f1572,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f659,f431]) ).
fof(f1576,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ113_spl
| is_a_theorem(necessarily(necessarily(X0)))
| ~ is_a_theorem(necessarily(X0)) ),
inference(resolution,[status(thm)],[f756,f342]) ).
fof(f1605,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)],[f1121,f442]) ).
fof(f1606,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)],[f1120,f442]) ).
fof(f1607,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)],[f659,f442]) ).
fof(f1611,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1047,f387]) ).
fof(f1615,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(X1),X0))) ),
inference(paramodulation,[status(thm)],[f1119,f464]) ).
fof(f1616,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f1118,f464]) ).
fof(f1704,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f1164,f704]) ).
fof(f1705,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,sK59_skl)) ),
inference(resolution,[status(thm)],[f1164,f708]) ).
fof(f1706,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,sK57_skl)) ),
inference(resolution,[status(thm)],[f1164,f685]) ).
fof(f1745,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(X1)))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f1120,f1170]) ).
fof(f1746,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1170]) ).
fof(f1747,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f1121,f1145]) ).
fof(f1749,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1145]) ).
fof(f1750,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ94_spl
| ~ sQ89_spl
| is_a_theorem(or(or(necessarily(sK57_skl),X0),X1)) ),
inference(resolution,[status(thm)],[f1189,f1142]) ).
fof(f1751,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(necessarily(sK57_skl),X1))) ),
inference(resolution,[status(thm)],[f1189,f1164]) ).
fof(f1752,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(necessarily(sK57_skl),X1))) ),
inference(resolution,[status(thm)],[f1189,f1148]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(necessarily(sK57_skl),X0))) ),
inference(resolution,[status(thm)],[f1189,f666]) ).
fof(f1754,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ100_spl
| ~ sQ89_spl
| is_a_theorem(or(or(necessarily(sK59_skl),X0),X1)) ),
inference(resolution,[status(thm)],[f1188,f1142]) ).
fof(f1755,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(necessarily(sK59_skl),X1))) ),
inference(resolution,[status(thm)],[f1188,f1164]) ).
fof(f1756,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(necessarily(sK59_skl),X1))) ),
inference(resolution,[status(thm)],[f1188,f1148]) ).
fof(f1757,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(necessarily(sK59_skl),X0))) ),
inference(resolution,[status(thm)],[f1188,f666]) ).
fof(f1758,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| ~ sQ89_spl
| is_a_theorem(or(or(necessarily(sK58_skl),X0),X1)) ),
inference(resolution,[status(thm)],[f1187,f1142]) ).
fof(f1759,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(necessarily(sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f1187,f1164]) ).
fof(f1760,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(necessarily(sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f1187,f1148]) ).
fof(f1761,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(necessarily(sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f1187,f666]) ).
fof(f1762,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,necessarily(sK57_skl)),X1)) ),
inference(resolution,[status(thm)],[f1362,f1142]) ).
fof(f1763,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ94_spl
| ~ sQ89_spl
| is_a_theorem(or(X0,or(X1,necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1362,f1164]) ).
fof(f1764,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1362,f1148]) ).
fof(f1765,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1362,f666]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),necessarily(sK57_skl))) ),
inference(paramodulation,[status(thm)],[f1119,f1362]) ).
fof(f1767,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),necessarily(sK57_skl))) ),
inference(paramodulation,[status(thm)],[f1118,f1362]) ).
fof(f1768,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,necessarily(sK59_skl)),X1)) ),
inference(resolution,[status(thm)],[f1361,f1142]) ).
fof(f1769,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ100_spl
| ~ sQ89_spl
| is_a_theorem(or(X0,or(X1,necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1361,f1164]) ).
fof(f1770,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1361,f1148]) ).
fof(f1771,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1361,f666]) ).
fof(f1772,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),necessarily(sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1119,f1361]) ).
fof(f1773,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),necessarily(sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1118,f1361]) ).
fof(f1774,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,necessarily(sK58_skl)),X1)) ),
inference(resolution,[status(thm)],[f1360,f1142]) ).
fof(f1775,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ99_spl
| ~ sQ89_spl
| is_a_theorem(or(X0,or(X1,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1360,f1164]) ).
fof(f1776,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1360,f1148]) ).
fof(f1777,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1360,f666]) ).
fof(f1778,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),necessarily(sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1119,f1360]) ).
fof(f1779,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),necessarily(sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1118,f1360]) ).
fof(f1781,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(or(necessarily(or(sK58_skl,X0)),X1)) ),
inference(resolution,[status(thm)],[f1227,f1142]) ).
fof(f1782,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1227,f1164]) ).
fof(f1783,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(or(sK58_skl,X1)))) ),
inference(resolution,[status(thm)],[f1227,f1148]) ).
fof(f1784,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(necessarily(or(sK58_skl,X0)))) ),
inference(resolution,[status(thm)],[f1227,f666]) ).
fof(f1786,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ100_spl
| is_a_theorem(or(necessarily(or(sK59_skl,X0)),X1)) ),
inference(resolution,[status(thm)],[f1198,f1142]) ).
fof(f1787,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(or(sK59_skl,X1)))) ),
inference(resolution,[status(thm)],[f1198,f1164]) ).
fof(f1788,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(or(sK59_skl,X1)))) ),
inference(resolution,[status(thm)],[f1198,f1148]) ).
fof(f1789,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(necessarily(or(sK59_skl,X0)))) ),
inference(resolution,[status(thm)],[f1198,f666]) ).
fof(f1791,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ94_spl
| is_a_theorem(or(necessarily(or(sK57_skl,X0)),X1)) ),
inference(resolution,[status(thm)],[f1196,f1142]) ).
fof(f1792,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(or(sK57_skl,X1)))) ),
inference(resolution,[status(thm)],[f1196,f1164]) ).
fof(f1793,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(or(sK57_skl,X1)))) ),
inference(resolution,[status(thm)],[f1196,f1148]) ).
fof(f1794,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(necessarily(or(sK57_skl,X0)))) ),
inference(resolution,[status(thm)],[f1196,f666]) ).
fof(f1796,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_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)],[f1330,f1142]) ).
fof(f1797,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_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)],[f1330,f1164]) ).
fof(f1798,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,necessarily(or(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1330,f1148]) ).
fof(f1799,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(necessarily(or(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1330,f666]) ).
fof(f1803,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_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)],[f1327,f1142]) ).
fof(f1804,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_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)],[f1327,f1164]) ).
fof(f1805,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| is_a_theorem(implies(X0,necessarily(or(X1,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1327,f1148]) ).
fof(f1806,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(necessarily(or(X0,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1327,f666]) ).
fof(f1810,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_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)],[f1324,f1142]) ).
fof(f1811,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_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)],[f1324,f1164]) ).
fof(f1812,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| is_a_theorem(implies(X0,necessarily(or(X1,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1324,f1148]) ).
fof(f1813,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(necessarily(or(X0,sK57_skl)))) ),
inference(resolution,[status(thm)],[f1324,f666]) ).
fof(f1817,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,sK58_skl)),X1)) ),
inference(resolution,[status(thm)],[f1312,f1142]) ).
fof(f1818,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1312,f1164]) ).
fof(f1819,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ99_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1312,f1148]) ).
fof(f1820,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(necessarily(implies(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1312,f666]) ).
fof(f1822,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1122,f1187]) ).
fof(f1823,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1122,f1188]) ).
fof(f1824,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1122,f1189]) ).
fof(f1828,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(sK58_skl))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1122,f1360]) ).
fof(f1829,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(sK59_skl))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1122,f1361]) ).
fof(f1830,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(sK57_skl))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1122,f1362]) ).
fof(f1836,definition,
( sQ177_spl
<=> is_a_theorem(not(necessarily(sK58_skl))) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1838,plain,
( sQ177_spl
| ~ is_a_theorem(not(necessarily(sK58_skl))) ),
inference(component_clause,[status(thm)],[f1836]) ).
fof(f1839,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f1822,f1836,f1459,f644,f630,f452,f341,f665,f703]) ).
fof(f1840,definition,
( sQ178_spl
<=> is_a_theorem(not(necessarily(sK59_skl))) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1842,plain,
( sQ178_spl
| ~ is_a_theorem(not(necessarily(sK59_skl))) ),
inference(component_clause,[status(thm)],[f1840]) ).
fof(f1843,plain,
( ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f1823,f1840,f1459,f644,f630,f452,f341,f665,f707]) ).
fof(f1844,definition,
( sQ179_spl
<=> is_a_theorem(not(necessarily(sK57_skl))) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1846,plain,
( sQ179_spl
| ~ is_a_theorem(not(necessarily(sK57_skl))) ),
inference(component_clause,[status(thm)],[f1844]) ).
fof(f1847,plain,
( ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f1824,f1844,f1459,f644,f630,f452,f341,f665,f684]) ).
fof(f1851,definition,
( sQ180_spl
<=> is_a_theorem(necessarily(sK58_skl)) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1852,plain,
( ~ sQ180_spl
| is_a_theorem(necessarily(sK58_skl)) ),
inference(component_clause,[status(thm)],[f1851]) ).
fof(f1854,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ180_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1828,f1471,f1851,f644,f630,f463,f341,f665,f703]) ).
fof(f1855,definition,
( sQ181_spl
<=> is_a_theorem(necessarily(sK59_skl)) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1856,plain,
( ~ sQ181_spl
| is_a_theorem(necessarily(sK59_skl)) ),
inference(component_clause,[status(thm)],[f1855]) ).
fof(f1858,plain,
( ~ sQ100_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ181_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1829,f1471,f1855,f644,f630,f463,f341,f665,f707]) ).
fof(f1859,definition,
( sQ182_spl
<=> is_a_theorem(necessarily(sK57_skl)) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1860,plain,
( ~ sQ182_spl
| is_a_theorem(necessarily(sK57_skl)) ),
inference(component_clause,[status(thm)],[f1859]) ).
fof(f1861,plain,
( sQ182_spl
| ~ is_a_theorem(necessarily(sK57_skl)) ),
inference(component_clause,[status(thm)],[f1859]) ).
fof(f1862,plain,
( ~ sQ94_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ182_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1830,f1471,f1859,f644,f630,f463,f341,f665,f684]) ).
fof(f1868,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f700,f723]) ).
fof(f1869,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f700,f734]) ).
fof(f1870,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X1),necessarily(necessarily(X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f700,f756]) ).
fof(f1871,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X1),X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f700,f745]) ).
fof(f1872,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X1,X2),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f700,f431]) ).
fof(f1873,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X1,X2),X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f700,f420]) ).
fof(f1874,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)],[f700,f398]) ).
fof(f1875,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_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)],[f700,f508]) ).
fof(f1876,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_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)],[f700,f475]) ).
fof(f1877,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_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)],[f700,f409]) ).
fof(f1878,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)],[f700,f497]) ).
fof(f1879,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)],[f700,f486]) ).
fof(f1880,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)],[f700,f1044]) ).
fof(f1881,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,or(X1,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f700,f453]) ).
fof(f1882,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,or(X2,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f700,f464]) ).
fof(f1883,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)],[f700,f442]) ).
fof(f1884,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,implies(X2,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f700,f387]) ).
fof(f1885,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,necessarily(possibly(X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f700,f767]) ).
fof(f1887,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(or(X1,necessarily(possibly(not(X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1154,f700]) ).
fof(f1888,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(or(or(X0,necessarily(possibly(not(X0)))),X1)) ),
inference(resolution,[status(thm)],[f1154,f1142]) ).
fof(f1889,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(or(X0,or(X1,necessarily(possibly(not(X1)))))) ),
inference(resolution,[status(thm)],[f1154,f1164]) ).
fof(f1890,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(implies(X0,or(X1,necessarily(possibly(not(X1)))))) ),
inference(resolution,[status(thm)],[f1154,f1148]) ).
fof(f1891,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(or(X0,necessarily(possibly(not(X0)))))) ),
inference(resolution,[status(thm)],[f1154,f666]) ).
fof(f1894,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ116_spl
| is_a_theorem(or(and(X0,possibly(X1)),necessarily(possibly(implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1116,f1154]) ).
fof(f1895,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ116_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),necessarily(possibly(implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1115,f1154]) ).
fof(f1897,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ116_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),necessarily(possibly(possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1117,f1154]) ).
fof(f1898,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(or(necessarily(possibly(X0)),necessarily(possibly(possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1114,f1154]) ).
fof(f1905,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X1,implies(X2,and(not(X1),X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1211,f700]) ).
fof(f1906,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(or(X0,implies(X1,and(not(X0),X1))),X2)) ),
inference(resolution,[status(thm)],[f1211,f1142]) ).
fof(f1907,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,or(X1,implies(X2,and(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1211,f1164]) ).
fof(f1908,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,and(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1211,f1148]) ).
fof(f1909,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(or(X0,implies(X1,and(not(X0),X1))))) ),
inference(resolution,[status(thm)],[f1211,f666]) ).
fof(f1912,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,or(X1,and(not(X0),not(X1))))) ),
inference(paramodulation,[status(thm)],[f1047,f1211]) ).
fof(f1913,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(X2,and(implies(X0,necessarily(not(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1116,f1211]) ).
fof(f1914,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X3,and(implies(X0,and(X1,not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1115,f1211]) ).
fof(f1916,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),implies(X2,and(possibly(and(X0,not(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1117,f1211]) ).
fof(f1917,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(necessarily(possibly(X0)),implies(X1,and(possibly(necessarily(not(X0))),X1)))) ),
inference(paramodulation,[status(thm)],[f1114,f1211]) ).
fof(f1924,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X1,implies(X2,not(X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1150,f700]) ).
fof(f1925,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(or(X0,implies(X1,not(X0))),X2)) ),
inference(resolution,[status(thm)],[f1150,f1142]) ).
fof(f1926,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1150,f1164]) ).
fof(f1927,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1150,f1148]) ).
fof(f1928,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)],[f1150,f666]) ).
fof(f1931,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f1150]) ).
fof(f1932,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(X2,implies(X0,necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1116,f1150]) ).
fof(f1933,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X3,implies(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1115,f1150]) ).
fof(f1935,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),implies(X2,possibly(and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1117,f1150]) ).
fof(f1936,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(possibly(X0)),implies(X1,possibly(necessarily(not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1114,f1150]) ).
fof(f1943,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X1,or(not(X1),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1144,f700]) ).
fof(f1944,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(or(X0,or(not(X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f1144,f1142]) ).
fof(f1945,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f1144,f1164]) ).
fof(f1946,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f1144,f1148]) ).
fof(f1947,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)],[f1144,f666]) ).
fof(f1950,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(or(and(X0,possibly(X1)),or(implies(X0,necessarily(not(X1))),X2))) ),
inference(paramodulation,[status(thm)],[f1116,f1144]) ).
fof(f1951,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(implies(X0,and(X1,not(X2))),X3))) ),
inference(paramodulation,[status(thm)],[f1115,f1144]) ).
fof(f1953,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),or(possibly(and(X0,not(X1))),X2))) ),
inference(paramodulation,[status(thm)],[f1117,f1144]) ).
fof(f1954,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(or(necessarily(possibly(X0)),or(possibly(necessarily(not(X0))),X1))) ),
inference(paramodulation,[status(thm)],[f1114,f1144]) ).
fof(f1960,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(or(X0,or(not(X0),X1))))) ),
inference(resolution,[status(thm)],[f1152,f1144]) ).
fof(f1961,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(or(X0,implies(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f1152,f1150]) ).
fof(f1962,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(or(X0,implies(X1,and(not(X0),X1)))))) ),
inference(resolution,[status(thm)],[f1152,f1211]) ).
fof(f1963,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(possibly(or(X0,necessarily(possibly(not(X0))))))) ),
inference(resolution,[status(thm)],[f1152,f1154]) ).
fof(f1964,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1152,f723]) ).
fof(f1965,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))))) ),
inference(resolution,[status(thm)],[f1152,f734]) ).
fof(f1966,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(necessarily(X0),necessarily(necessarily(X0)))))) ),
inference(resolution,[status(thm)],[f1152,f756]) ).
fof(f1967,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f1152,f745]) ).
fof(f1968,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(and(X0,X1),X1)))) ),
inference(resolution,[status(thm)],[f1152,f431]) ).
fof(f1969,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(and(X0,X1),X0)))) ),
inference(resolution,[status(thm)],[f1152,f420]) ).
fof(f1970,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(implies(X0,implies(X0,X1)),implies(X0,X1))))) ),
inference(resolution,[status(thm)],[f1152,f398]) ).
fof(f1971,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))))) ),
inference(resolution,[status(thm)],[f1152,f508]) ).
fof(f1972,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1)))))) ),
inference(resolution,[status(thm)],[f1152,f475]) ).
fof(f1973,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))) ),
inference(resolution,[status(thm)],[f1152,f409]) ).
fof(f1974,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(equiv(X0,X1),implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f1152,f497]) ).
fof(f1975,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(equiv(X0,X1),implies(X0,X1))))) ),
inference(resolution,[status(thm)],[f1152,f486]) ).
fof(f1976,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(or(X0,not(X1)),implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f1152,f1044]) ).
fof(f1977,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(X0,or(X0,X1))))) ),
inference(resolution,[status(thm)],[f1152,f453]) ).
fof(f1978,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(X0,or(X1,X0))))) ),
inference(resolution,[status(thm)],[f1152,f464]) ).
fof(f1979,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(X0,implies(X1,and(X0,X1)))))) ),
inference(resolution,[status(thm)],[f1152,f442]) ).
fof(f1980,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(X0,implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f1152,f387]) ).
fof(f1981,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ1_spl
| is_a_theorem(necessarily(possibly(implies(X0,necessarily(possibly(X0)))))) ),
inference(resolution,[status(thm)],[f1152,f767]) ).
fof(f1983,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(possibly(or(X0,or(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f1166,f1152]) ).
fof(f1984,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X1,or(X2,not(X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1166,f700]) ).
fof(f1985,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,or(X1,not(X0))),X2)) ),
inference(resolution,[status(thm)],[f1166,f1142]) ).
fof(f1986,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X0,or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1166,f1164]) ).
fof(f1987,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1166,f1148]) ).
fof(f1988,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)],[f1166,f666]) ).
fof(f1991,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)],[f1119,f1166]) ).
fof(f1992,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)],[f1118,f1166]) ).
fof(f1993,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(and(X0,possibly(X1)),or(X2,implies(X0,necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1116,f1166]) ).
fof(f1994,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(X3,implies(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1115,f1166]) ).
fof(f1996,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),or(X2,possibly(and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1117,f1166]) ).
fof(f1997,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(or(necessarily(possibly(X0)),or(X1,possibly(necessarily(not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1114,f1166]) ).
fof(f2004,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(necessarily(X0),X0))))) ),
inference(resolution,[status(thm)],[f1132,f1152]) ).
fof(f2005,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(and(necessarily(implies(necessarily(X1),X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1132,f700]) ).
fof(f2006,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(or(necessarily(implies(necessarily(X0),X0)),X1)) ),
inference(resolution,[status(thm)],[f1132,f1142]) ).
fof(f2007,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(or(X0,necessarily(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1132,f1164]) ).
fof(f2008,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(implies(X0,necessarily(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1132,f1148]) ).
fof(f2009,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(necessarily(implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f1132,f666]) ).
fof(f2011,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ104_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(possibly(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1127,f1152]) ).
fof(f2012,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| is_a_theorem(and(necessarily(strict_equiv(sK60_skl,sK61_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1127,f700]) ).
fof(f2013,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ89_spl
| is_a_theorem(or(necessarily(strict_equiv(sK60_skl,sK61_skl)),X0)) ),
inference(resolution,[status(thm)],[f1127,f1142]) ).
fof(f2014,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ89_spl
| is_a_theorem(or(X0,necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1127,f1164]) ).
fof(f2015,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ89_spl
| is_a_theorem(implies(X0,necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1127,f1148]) ).
fof(f2016,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1127,f666]) ).
fof(f2017,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ31_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1194,f1122]) ).
fof(f2018,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ104_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(possibly(or(strict_equiv(sK60_skl,sK61_skl),X0)))) ),
inference(resolution,[status(thm)],[f1194,f1152]) ).
fof(f2019,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(or(strict_equiv(sK60_skl,sK61_skl),X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1194,f700]) ).
fof(f2020,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ104_spl
| is_a_theorem(or(or(strict_equiv(sK60_skl,sK61_skl),X0),X1)) ),
inference(resolution,[status(thm)],[f1194,f1142]) ).
fof(f2021,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(strict_equiv(sK60_skl,sK61_skl),X1))) ),
inference(resolution,[status(thm)],[f1194,f1164]) ).
fof(f2022,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(strict_equiv(sK60_skl,sK61_skl),X1))) ),
inference(resolution,[status(thm)],[f1194,f1148]) ).
fof(f2023,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(strict_equiv(sK60_skl,sK61_skl),X0))) ),
inference(resolution,[status(thm)],[f1194,f666]) ).
fof(f2024,definition,
( sQ183_spl
<=> is_a_theorem(not(strict_equiv(sK60_skl,sK61_skl))) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f2026,plain,
( sQ183_spl
| ~ is_a_theorem(not(strict_equiv(sK60_skl,sK61_skl))) ),
inference(component_clause,[status(thm)],[f2024]) ).
fof(f2027,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ31_spl
| sQ173_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f2017,f2024,f1459,f452,f722,f341,f644,f630]) ).
fof(f2029,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(or(X0,not(X1)),implies(X1,X0)))))) ),
inference(resolution,[status(thm)],[f1230,f1152]) ).
fof(f2030,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(necessarily(implies(or(X1,not(X2)),implies(X2,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1230,f700]) ).
fof(f2031,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(necessarily(implies(or(X0,not(X1)),implies(X1,X0))),X2)) ),
inference(resolution,[status(thm)],[f1230,f1142]) ).
fof(f2032,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X0,necessarily(implies(or(X1,not(X2)),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1230,f1164]) ).
fof(f2033,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,necessarily(implies(or(X1,not(X2)),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1230,f1148]) ).
fof(f2034,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(necessarily(implies(or(X0,not(X1)),implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f1230,f666]) ).
fof(f2035,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(implies(possibly(X0),not(X1)),implies(X1,necessarily(not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1119,f1230]) ).
fof(f2036,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(implies(implies(X0,X1),not(X2)),implies(X2,and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1118,f1230]) ).
fof(f2037,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(implies(or(X0,implies(X1,necessarily(not(X2)))),implies(and(X1,possibly(X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1116,f1230]) ).
fof(f2038,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(implies(or(X0,implies(X1,and(X2,not(X3)))),implies(and(X1,implies(X2,X3)),X0)))) ),
inference(paramodulation,[status(thm)],[f1115,f1230]) ).
fof(f2039,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(implies(or(X0,implies(X1,X2)),implies(and(X1,not(X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f645,f1230]) ).
fof(f2040,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(implies(or(X0,possibly(and(X1,not(X2)))),implies(necessarily(implies(X1,X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1117,f1230]) ).
fof(f2041,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(implies(or(X0,possibly(necessarily(not(X1)))),implies(necessarily(possibly(X1)),X0)))) ),
inference(paramodulation,[status(thm)],[f1114,f1230]) ).
fof(f2042,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(implies(or(X0,possibly(X1)),implies(necessarily(not(X1)),X0)))) ),
inference(paramodulation,[status(thm)],[f943,f1230]) ).
fof(f2043,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(or(X0,not(not(X1))),or(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f1230]) ).
fof(f2045,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(equiv(X0,X1),implies(X0,X1)))))) ),
inference(resolution,[status(thm)],[f1201,f1152]) ).
fof(f2046,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(necessarily(implies(equiv(X1,X2),implies(X1,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1201,f700]) ).
fof(f2047,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(or(necessarily(implies(equiv(X0,X1),implies(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f1201,f1142]) ).
fof(f2048,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(or(X0,necessarily(implies(equiv(X1,X2),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f1201,f1164]) ).
fof(f2049,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,necessarily(implies(equiv(X1,X2),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f1201,f1148]) ).
fof(f2050,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(necessarily(implies(equiv(X0,X1),implies(X0,X1))))) ),
inference(resolution,[status(thm)],[f1201,f666]) ).
fof(f2051,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(not(X0),X1),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f1201]) ).
fof(f2053,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(equiv(X0,X1),implies(X1,X0)))))) ),
inference(resolution,[status(thm)],[f1168,f1152]) ).
fof(f2054,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(necessarily(implies(equiv(X1,X2),implies(X2,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1168,f700]) ).
fof(f2055,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(or(necessarily(implies(equiv(X0,X1),implies(X1,X0))),X2)) ),
inference(resolution,[status(thm)],[f1168,f1142]) ).
fof(f2056,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(or(X0,necessarily(implies(equiv(X1,X2),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1168,f1164]) ).
fof(f2057,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(implies(X0,necessarily(implies(equiv(X1,X2),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1168,f1148]) ).
fof(f2058,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(necessarily(implies(equiv(X0,X1),implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f1168,f666]) ).
fof(f2059,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(X0,not(X1)),or(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f1168]) ).
fof(f2061,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))))) ),
inference(resolution,[status(thm)],[f1216,f1152]) ).
fof(f2062,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1216,f700]) ).
fof(f2063,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f1216,f1142]) ).
fof(f2064,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f1216,f1164]) ).
fof(f2065,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f1216,f1148]) ).
fof(f2066,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1))))) ),
inference(resolution,[status(thm)],[f1216,f666]) ).
fof(f2067,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(or(X0,implies(not(X0),X1)),implies(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f1216]) ).
fof(f2070,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(or(X0,or(X0,X1)),implies(not(X0),X1)))) ),
inference(forward_demodulation,[status(thm)],[f1047,f2067]) ).
fof(f2071,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(or(X0,or(X0,X1)),or(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f1047,f2070]) ).
fof(f2076,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(necessarily(X0),X0))) ),
inference(resolution,[status(thm)],[f1179,f1122]) ).
fof(f2077,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(possibly(or(implies(necessarily(X0),X0),X1)))) ),
inference(resolution,[status(thm)],[f1179,f1152]) ).
fof(f2078,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(or(implies(necessarily(X1),X1),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1179,f700]) ).
fof(f2079,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| is_a_theorem(or(or(implies(necessarily(X0),X0),X1),X2)) ),
inference(resolution,[status(thm)],[f1179,f1142]) ).
fof(f2080,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(necessarily(X1),X1),X2))) ),
inference(resolution,[status(thm)],[f1179,f1164]) ).
fof(f2081,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(necessarily(X1),X1),X2))) ),
inference(resolution,[status(thm)],[f1179,f1148]) ).
fof(f2082,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(implies(necessarily(X0),X0),X1))) ),
inference(resolution,[status(thm)],[f1179,f666]) ).
fof(f2083,definition,
! [X0] :
( sQ184_spl
<=> ~ is_a_theorem(not(implies(necessarily(X0),X0))) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f2084,plain,
! [X0] :
( ~ sQ184_spl
| ~ is_a_theorem(not(implies(necessarily(X0),X0))) ),
inference(component_clause,[status(thm)],[f2083]) ).
fof(f2086,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ31_spl
| sQ173_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f2076,f2083,f1459,f452,f744,f341,f644,f630]) ).
fof(f2087,plain,
( sQ144_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1480]) ).
fof(f2088,plain,
( sQ135_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1481]) ).
fof(f2089,plain,
( sQ138_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1482]) ).
fof(f2090,plain,
( sQ141_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1483]) ).
fof(f2091,plain,
( sQ147_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1484]) ).
fof(f2092,plain,
( sQ150_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1485]) ).
fof(f2124,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X1,strict_equiv(sK60_skl,sK61_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1367,f700]) ).
fof(f2125,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ104_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(possibly(or(X0,strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1367,f1152]) ).
fof(f2126,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,strict_equiv(sK60_skl,sK61_skl)),X1)) ),
inference(resolution,[status(thm)],[f1367,f1142]) ).
fof(f2127,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ104_spl
| is_a_theorem(or(X0,or(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1367,f1164]) ).
fof(f2128,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1367,f1148]) ).
fof(f2129,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1367,f666]) ).
fof(f2130,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1119,f1367]) ).
fof(f2131,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1118,f1367]) ).
fof(f2132,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X1,implies(necessarily(X2),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1348,f700]) ).
fof(f2133,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(possibly(or(X0,implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1348,f1152]) ).
fof(f2134,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(necessarily(X1),X1)),X2)) ),
inference(resolution,[status(thm)],[f1348,f1142]) ).
fof(f2135,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| is_a_theorem(or(X0,or(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1348,f1164]) ).
fof(f2136,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1348,f1148]) ).
fof(f2137,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1348,f666]) ).
fof(f2138,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1119,f1348]) ).
fof(f2139,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1118,f1348]) ).
fof(f2141,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(and(necessarily(implies(and(X1,X2),X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1171,f700]) ).
fof(f2142,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(and(X0,X1),X0))))) ),
inference(resolution,[status(thm)],[f1171,f1152]) ).
fof(f2143,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(or(necessarily(implies(and(X0,X1),X0)),X2)) ),
inference(resolution,[status(thm)],[f1171,f1142]) ).
fof(f2144,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,necessarily(implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1171,f1164]) ).
fof(f2145,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,necessarily(implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1171,f1148]) ).
fof(f2146,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(necessarily(implies(and(X0,X1),X0)))) ),
inference(resolution,[status(thm)],[f1171,f666]) ).
fof(f2147,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)],[f1121,f1171]) ).
fof(f2148,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,not(X1)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1120,f1171]) ).
fof(f2149,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1171]) ).
fof(f2151,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(and(necessarily(implies(and(X1,X2),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1146,f700]) ).
fof(f2152,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(and(X0,X1),X1))))) ),
inference(resolution,[status(thm)],[f1146,f1152]) ).
fof(f2153,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(or(necessarily(implies(and(X0,X1),X1)),X2)) ),
inference(resolution,[status(thm)],[f1146,f1142]) ).
fof(f2154,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(or(X0,necessarily(implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1146,f1164]) ).
fof(f2155,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(implies(X0,necessarily(implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1146,f1148]) ).
fof(f2156,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(necessarily(implies(and(X0,X1),X1)))) ),
inference(resolution,[status(thm)],[f1146,f666]) ).
fof(f2157,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(not(X0),X1),implies(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1121,f1146]) ).
fof(f2158,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)],[f1120,f1146]) ).
fof(f2159,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f659,f1146]) ).
fof(f2161,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(necessarily(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1205,f700]) ).
fof(f2162,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))))) ),
inference(resolution,[status(thm)],[f1205,f1152]) ).
fof(f2163,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(or(necessarily(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1)))),X3)) ),
inference(resolution,[status(thm)],[f1205,f1142]) ).
fof(f2164,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(or(X0,necessarily(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2)))))) ),
inference(resolution,[status(thm)],[f1205,f1164]) ).
fof(f2165,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(implies(X0,necessarily(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2)))))) ),
inference(resolution,[status(thm)],[f1205,f1148]) ).
fof(f2166,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(necessarily(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1)))))) ),
inference(resolution,[status(thm)],[f1205,f666]) ).
fof(f2167,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(or(X0,X1),implies(implies(X2,X1),implies(or(not(X0),X2),X1))))) ),
inference(paramodulation,[status(thm)],[f1047,f1205]) ).
fof(f2168,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(or(X2,X1),implies(or(X0,not(X2)),X1))))) ),
inference(paramodulation,[status(thm)],[f1047,f1205]) ).
fof(f2169,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(necessarily(not(X0)),X1),implies(implies(X2,X1),implies(implies(possibly(X0),X2),X1))))) ),
inference(paramodulation,[status(thm)],[f1119,f1205]) ).
fof(f2170,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(and(X0,not(X1)),X2),implies(implies(X3,X2),implies(implies(implies(X0,X1),X3),X2))))) ),
inference(paramodulation,[status(thm)],[f1118,f1205]) ).
fof(f2172,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(necessarily(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1283,f700]) ).
fof(f2173,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))))) ),
inference(resolution,[status(thm)],[f1283,f1152]) ).
fof(f2174,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(or(necessarily(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),X3)) ),
inference(resolution,[status(thm)],[f1283,f1142]) ).
fof(f2175,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(or(X0,necessarily(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))))) ),
inference(resolution,[status(thm)],[f1283,f1164]) ).
fof(f2176,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(implies(X0,necessarily(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))))) ),
inference(resolution,[status(thm)],[f1283,f1148]) ).
fof(f2177,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(necessarily(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))) ),
inference(resolution,[status(thm)],[f1283,f666]) ).
fof(f2178,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(or(X0,X1),implies(implies(X1,X2),implies(not(X0),X2))))) ),
inference(paramodulation,[status(thm)],[f1047,f1283]) ).
fof(f2179,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,not(X1)),implies(or(X1,X2),implies(X0,X2))))) ),
inference(paramodulation,[status(thm)],[f1047,f1283]) ).
fof(f2181,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f2178]) ).
fof(f2184,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1161,f700]) ).
fof(f2185,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))))) ),
inference(resolution,[status(thm)],[f1161,f1152]) ).
fof(f2186,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(or(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))),X2)) ),
inference(resolution,[status(thm)],[f1161,f1142]) ).
fof(f2187,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(or(X0,necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1161,f1164]) ).
fof(f2188,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(implies(X0,necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1161,f1148]) ).
fof(f2189,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))))) ),
inference(resolution,[status(thm)],[f1161,f666]) ).
fof(f2190,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f1047,f1161]) ).
fof(f2191,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1047,f1161]) ).
fof(f2193,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(necessarily(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1158,f700]) ).
fof(f2194,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))))) ),
inference(resolution,[status(thm)],[f1158,f1152]) ).
fof(f2195,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(or(necessarily(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))),X2)) ),
inference(resolution,[status(thm)],[f1158,f1142]) ).
fof(f2196,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(or(X0,necessarily(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1158,f1164]) ).
fof(f2197,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(implies(X0,necessarily(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1158,f1148]) ).
fof(f2198,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(necessarily(necessarily(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))))) ),
inference(resolution,[status(thm)],[f1158,f666]) ).
fof(f2199,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(necessarily(implies(necessarily(or(X0,X1)),implies(necessarily(not(X0)),necessarily(X1))))) ),
inference(paramodulation,[status(thm)],[f1047,f1158]) ).
fof(f2201,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(and(necessarily(implies(X1,implies(X2,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1149,f700]) ).
fof(f2202,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(X0,implies(X1,X0)))))) ),
inference(resolution,[status(thm)],[f1149,f1152]) ).
fof(f2203,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,implies(X1,X0))),X2)) ),
inference(resolution,[status(thm)],[f1149,f1142]) ).
fof(f2204,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,necessarily(implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1149,f1164]) ).
fof(f2205,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1149,f1148]) ).
fof(f2206,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(necessarily(implies(X0,implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f1149,f666]) ).
fof(f2208,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f1149]) ).
fof(f2210,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(necessarily(implies(necessarily(X1),necessarily(necessarily(X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1156,f700]) ).
fof(f2211,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(necessarily(X0),necessarily(necessarily(X0))))))) ),
inference(resolution,[status(thm)],[f1156,f1152]) ).
fof(f2212,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(or(necessarily(implies(necessarily(X0),necessarily(necessarily(X0)))),X1)) ),
inference(resolution,[status(thm)],[f1156,f1142]) ).
fof(f2213,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(or(X0,necessarily(implies(necessarily(X1),necessarily(necessarily(X1)))))) ),
inference(resolution,[status(thm)],[f1156,f1164]) ).
fof(f2214,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(implies(X0,necessarily(implies(necessarily(X1),necessarily(necessarily(X1)))))) ),
inference(resolution,[status(thm)],[f1156,f1148]) ).
fof(f2215,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(necessarily(necessarily(implies(necessarily(X0),necessarily(necessarily(X0)))))) ),
inference(resolution,[status(thm)],[f1156,f666]) ).
fof(f2217,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(and(necessarily(implies(X1,or(X2,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1165,f700]) ).
fof(f2218,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(X0,or(X1,X0)))))) ),
inference(resolution,[status(thm)],[f1165,f1152]) ).
fof(f2219,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(or(necessarily(implies(X0,or(X1,X0))),X2)) ),
inference(resolution,[status(thm)],[f1165,f1142]) ).
fof(f2220,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| is_a_theorem(or(X0,necessarily(implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1165,f1164]) ).
fof(f2221,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1165,f1148]) ).
fof(f2222,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(necessarily(implies(X0,or(X1,X0))))) ),
inference(resolution,[status(thm)],[f1165,f666]) ).
fof(f2224,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)],[f1119,f1165]) ).
fof(f2225,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)],[f1118,f1165]) ).
fof(f2227,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(and(necessarily(implies(X1,or(X1,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1143,f700]) ).
fof(f2228,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(X0,or(X0,X1)))))) ),
inference(resolution,[status(thm)],[f1143,f1152]) ).
fof(f2229,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| is_a_theorem(or(necessarily(implies(X0,or(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f1143,f1142]) ).
fof(f2230,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,necessarily(implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1143,f1164]) ).
fof(f2231,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1143,f1148]) ).
fof(f2232,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(necessarily(implies(X0,or(X0,X1))))) ),
inference(resolution,[status(thm)],[f1143,f666]) ).
fof(f2234,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)],[f1119,f1143]) ).
fof(f2235,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)],[f1118,f1143]) ).
fof(f2237,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X1,strict_equiv(sK60_skl,sK61_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1264,f700]) ).
fof(f2238,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ104_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(possibly(implies(X0,strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1264,f1152]) ).
fof(f2239,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,strict_equiv(sK60_skl,sK61_skl)),X1)) ),
inference(resolution,[status(thm)],[f1264,f1142]) ).
fof(f2240,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1264,f1164]) ).
fof(f2241,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| is_a_theorem(implies(X0,implies(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1264,f1148]) ).
fof(f2242,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1264,f666]) ).
fof(f2243,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f1264]) ).
fof(f2246,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X1,implies(necessarily(X2),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1248,f700]) ).
fof(f2247,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(possibly(implies(X0,implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1248,f1152]) ).
fof(f2248,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(necessarily(X1),X1)),X2)) ),
inference(resolution,[status(thm)],[f1248,f1142]) ).
fof(f2249,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1248,f1164]) ).
fof(f2250,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| is_a_theorem(implies(X0,implies(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1248,f1148]) ).
fof(f2251,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1248,f666]) ).
fof(f2252,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1047,f1248]) ).
fof(f2255,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(necessarily(implies(X1,necessarily(possibly(X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1153,f700]) ).
fof(f2256,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(X0,necessarily(possibly(X0))))))) ),
inference(resolution,[status(thm)],[f1153,f1152]) ).
fof(f2257,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(or(necessarily(implies(X0,necessarily(possibly(X0)))),X1)) ),
inference(resolution,[status(thm)],[f1153,f1142]) ).
fof(f2258,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(or(X0,necessarily(implies(X1,necessarily(possibly(X1)))))) ),
inference(resolution,[status(thm)],[f1153,f1164]) ).
fof(f2259,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,necessarily(possibly(X1)))))) ),
inference(resolution,[status(thm)],[f1153,f1148]) ).
fof(f2260,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(necessarily(implies(X0,necessarily(possibly(X0)))))) ),
inference(resolution,[status(thm)],[f1153,f666]) ).
fof(f2263,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(necessarily(implies(X1,implies(X2,and(X1,X2)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1210,f700]) ).
fof(f2264,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(X0,implies(X1,and(X0,X1))))))) ),
inference(resolution,[status(thm)],[f1210,f1152]) ).
fof(f2265,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(or(necessarily(implies(X0,implies(X1,and(X0,X1)))),X2)) ),
inference(resolution,[status(thm)],[f1210,f1142]) ).
fof(f2266,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,necessarily(implies(X1,implies(X2,and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1210,f1164]) ).
fof(f2267,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,implies(X2,and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1210,f1148]) ).
fof(f2268,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(necessarily(implies(X0,implies(X1,and(X0,X1)))))) ),
inference(resolution,[status(thm)],[f1210,f666]) ).
fof(f2270,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(X0,or(X1,and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1047,f1210]) ).
fof(f2271,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1210]) ).
fof(f2272,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1120,f1210]) ).
fof(f2273,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f1210]) ).
fof(f2274,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(not(X0)),necessarily(X1)))
| ~ is_a_theorem(necessarily(or(X0,X1))) ),
inference(resolution,[status(thm)],[f1159,f342]) ).
fof(f2275,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(necessarily(or(X1,X2)),implies(necessarily(not(X1)),necessarily(X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1159,f700]) ).
fof(f2276,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(necessarily(possibly(implies(necessarily(or(X0,X1)),implies(necessarily(not(X0)),necessarily(X1)))))) ),
inference(resolution,[status(thm)],[f1159,f1152]) ).
fof(f2277,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(or(implies(necessarily(or(X0,X1)),implies(necessarily(not(X0)),necessarily(X1))),X2)) ),
inference(resolution,[status(thm)],[f1159,f1142]) ).
fof(f2278,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(or(X0,implies(necessarily(or(X1,X2)),implies(necessarily(not(X1)),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1159,f1164]) ).
fof(f2279,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(implies(X0,implies(necessarily(or(X1,X2)),implies(necessarily(not(X1)),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1159,f1148]) ).
fof(f2283,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(or(and(X0,possibly(X1)),X2)),implies(necessarily(implies(X0,necessarily(not(X1)))),necessarily(X2)))) ),
inference(paramodulation,[status(thm)],[f1116,f1159]) ).
fof(f2284,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(or(and(X0,implies(X1,X2)),X3)),implies(necessarily(implies(X0,and(X1,not(X2)))),necessarily(X3)))) ),
inference(paramodulation,[status(thm)],[f1115,f1159]) ).
fof(f2286,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(or(necessarily(implies(X0,X1)),X2)),implies(necessarily(possibly(and(X0,not(X1)))),necessarily(X2)))) ),
inference(paramodulation,[status(thm)],[f1117,f1159]) ).
fof(f2287,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(or(necessarily(possibly(X0)),X1)),implies(necessarily(possibly(necessarily(not(X0)))),necessarily(X1)))) ),
inference(paramodulation,[status(thm)],[f1114,f1159]) ).
fof(f2293,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(and(X0,X1)),necessarily(X1))) ),
inference(resolution,[status(thm)],[f1157,f1146]) ).
fof(f2294,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(and(X0,X1)),necessarily(X0))) ),
inference(resolution,[status(thm)],[f1157,f1171]) ).
fof(f2295,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(implies(X0,implies(X0,X1))),necessarily(implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1157,f1216]) ).
fof(f2296,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),necessarily(implies(implies(X1,X0),equiv(X0,X1))))) ),
inference(resolution,[status(thm)],[f1157,f1161]) ).
fof(f2297,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),necessarily(implies(implies(X2,X1),implies(or(X0,X2),X1))))) ),
inference(resolution,[status(thm)],[f1157,f1205]) ).
fof(f2298,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),necessarily(implies(implies(X1,X2),implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f1157,f1283]) ).
fof(f2299,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(equiv(X0,X1)),necessarily(implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1157,f1168]) ).
fof(f2300,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(equiv(X0,X1)),necessarily(implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1157,f1201]) ).
fof(f2301,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(or(X0,not(X1))),necessarily(implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1157,f1230]) ).
fof(f2302,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ1_spl
| is_a_theorem(implies(necessarily(necessarily(implies(X0,X1))),necessarily(implies(necessarily(X0),necessarily(X1))))) ),
inference(resolution,[status(thm)],[f1157,f1158]) ).
fof(f2305,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(X0),necessarily(necessarily(possibly(X0))))) ),
inference(resolution,[status(thm)],[f1157,f1153]) ).
fof(f2306,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(X0),necessarily(or(X0,X1)))) ),
inference(resolution,[status(thm)],[f1157,f1143]) ).
fof(f2307,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(X0),necessarily(or(X1,X0)))) ),
inference(resolution,[status(thm)],[f1157,f1165]) ).
fof(f2308,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(X0),necessarily(implies(X1,and(X0,X1))))) ),
inference(resolution,[status(thm)],[f1157,f1210]) ).
fof(f2309,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(X0),necessarily(implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1157,f1149]) ).
fof(f2311,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(or(implies(and(X1,X2),X2),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1176,f700]) ).
fof(f2312,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ25_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(possibly(or(implies(and(X0,X1),X1),X2)))) ),
inference(resolution,[status(thm)],[f1176,f1152]) ).
fof(f2313,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ25_spl
| is_a_theorem(or(or(implies(and(X0,X1),X1),X2),X3)) ),
inference(resolution,[status(thm)],[f1176,f1142]) ).
fof(f2314,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ25_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(and(X1,X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1176,f1164]) ).
fof(f2315,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(and(X1,X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1176,f1148]) ).
fof(f2316,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(implies(and(X0,X1),X1),X2))) ),
inference(resolution,[status(thm)],[f1176,f666]) ).
fof(f2317,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),implies(X1,not(X0))),X2)) ),
inference(paramodulation,[status(thm)],[f1121,f1176]) ).
fof(f2318,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,not(X1)),or(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1120,f1176]) ).
fof(f2319,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f659,f1176]) ).
fof(f2320,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(or(X0,not(not(X1)))) ),
inference(resolution,[status(thm)],[f1233,f342]) ).
fof(f2321,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(or(X1,not(not(X2))),or(X2,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1233,f700]) ).
fof(f2322,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(possibly(implies(or(X0,not(not(X1))),or(X1,X0))))) ),
inference(resolution,[status(thm)],[f1233,f1152]) ).
fof(f2323,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(implies(or(X0,not(not(X1))),or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f1233,f1142]) ).
fof(f2324,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,implies(or(X1,not(not(X2))),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1233,f1164]) ).
fof(f2325,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(X0,implies(or(X1,not(not(X2))),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1233,f1148]) ).
fof(f2327,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(X0),not(not(X1))),or(X1,necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1119,f1233]) ).
fof(f2328,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,X1),not(not(X2))),or(X2,and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1118,f1233]) ).
fof(f2329,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,not(implies(X1,necessarily(not(X2))))),or(and(X1,possibly(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1116,f1233]) ).
fof(f2330,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,not(implies(X1,and(X2,not(X3))))),or(and(X1,implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f1115,f1233]) ).
fof(f2332,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,not(possibly(and(X1,not(X2))))),or(necessarily(implies(X1,X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1117,f1233]) ).
fof(f2333,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,not(possibly(necessarily(not(X1))))),or(necessarily(possibly(X1)),X0))) ),
inference(paramodulation,[status(thm)],[f1114,f1233]) ).
fof(f2341,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(or(implies(and(X1,X2),X1),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1175,f700]) ).
fof(f2342,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(possibly(or(implies(and(X0,X1),X0),X2)))) ),
inference(resolution,[status(thm)],[f1175,f1152]) ).
fof(f2343,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ22_spl
| is_a_theorem(or(or(implies(and(X0,X1),X0),X2),X3)) ),
inference(resolution,[status(thm)],[f1175,f1142]) ).
fof(f2344,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(and(X1,X2),X1),X3))) ),
inference(resolution,[status(thm)],[f1175,f1164]) ).
fof(f2345,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(and(X1,X2),X1),X3))) ),
inference(resolution,[status(thm)],[f1175,f1148]) ).
fof(f2346,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(implies(and(X0,X1),X0),X2))) ),
inference(resolution,[status(thm)],[f1175,f666]) ).
fof(f2347,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),or(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1121,f1175]) ).
fof(f2348,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,not(X1)),implies(X0,not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1120,f1175]) ).
fof(f2349,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f659,f1175]) ).
fof(f2350,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(or(implies(X1,or(X1,X2)),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1183,f700]) ).
fof(f2351,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(possibly(or(implies(X0,or(X0,X1)),X2)))) ),
inference(resolution,[status(thm)],[f1183,f1152]) ).
fof(f2352,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(X0,or(X0,X1)),X2),X3)) ),
inference(resolution,[status(thm)],[f1183,f1142]) ).
fof(f2353,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f1183,f1164]) ).
fof(f2354,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f1183,f1148]) ).
fof(f2355,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)],[f1183,f666]) ).
fof(f2357,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)],[f1119,f1183]) ).
fof(f2358,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)],[f1118,f1183]) ).
fof(f2359,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(or(implies(X1,or(X2,X1)),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1182,f700]) ).
fof(f2360,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(possibly(or(implies(X0,or(X1,X0)),X2)))) ),
inference(resolution,[status(thm)],[f1182,f1152]) ).
fof(f2361,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(or(or(implies(X0,or(X1,X0)),X2),X3)) ),
inference(resolution,[status(thm)],[f1182,f1142]) ).
fof(f2362,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1182,f1164]) ).
fof(f2363,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1182,f1148]) ).
fof(f2364,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(implies(X0,or(X1,X0)),X2))) ),
inference(resolution,[status(thm)],[f1182,f666]) ).
fof(f2366,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(possibly(X1),X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1119,f1182]) ).
fof(f2367,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,X2),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1118,f1182]) ).
fof(f2368,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(or(implies(X1,implies(X2,X1)),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1181,f700]) ).
fof(f2369,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(possibly(or(implies(X0,implies(X1,X0)),X2)))) ),
inference(resolution,[status(thm)],[f1181,f1152]) ).
fof(f2370,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(or(or(implies(X0,implies(X1,X0)),X2),X3)) ),
inference(resolution,[status(thm)],[f1181,f1142]) ).
fof(f2371,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1181,f1164]) ).
fof(f2372,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1181,f1148]) ).
fof(f2373,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(implies(X0,implies(X1,X0)),X2))) ),
inference(resolution,[status(thm)],[f1181,f666]) ).
fof(f2375,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1047,f1181]) ).
fof(f2376,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(not(X1)),X0))
| ~ is_a_theorem(or(X0,possibly(X1))) ),
inference(resolution,[status(thm)],[f1232,f342]) ).
fof(f2377,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(or(X1,possibly(X2)),implies(necessarily(not(X2)),X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1232,f700]) ).
fof(f2378,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(possibly(implies(or(X0,possibly(X1)),implies(necessarily(not(X1)),X0))))) ),
inference(resolution,[status(thm)],[f1232,f1152]) ).
fof(f2379,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(implies(or(X0,possibly(X1)),implies(necessarily(not(X1)),X0)),X2)) ),
inference(resolution,[status(thm)],[f1232,f1142]) ).
fof(f2380,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X0,implies(or(X1,possibly(X2)),implies(necessarily(not(X2)),X1)))) ),
inference(resolution,[status(thm)],[f1232,f1164]) ).
fof(f2381,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,implies(or(X1,possibly(X2)),implies(necessarily(not(X2)),X1)))) ),
inference(resolution,[status(thm)],[f1232,f1148]) ).
fof(f2383,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(X0),possibly(X1)),implies(necessarily(not(X1)),necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1119,f1232]) ).
fof(f2384,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ164_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,X1),possibly(X2)),implies(necessarily(not(X2)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1118,f1232]) ).
fof(f2385,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,possibly(and(X1,possibly(X2)))),implies(necessarily(implies(X1,necessarily(not(X2)))),X0))) ),
inference(paramodulation,[status(thm)],[f1116,f1232]) ).
fof(f2386,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,possibly(and(X1,implies(X2,X3)))),implies(necessarily(implies(X1,and(X2,not(X3)))),X0))) ),
inference(paramodulation,[status(thm)],[f1115,f1232]) ).
fof(f2388,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,possibly(necessarily(implies(X1,X2)))),implies(necessarily(possibly(and(X1,not(X2)))),X0))) ),
inference(paramodulation,[status(thm)],[f1117,f1232]) ).
fof(f2389,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(X0,possibly(necessarily(possibly(X1)))),implies(necessarily(possibly(necessarily(not(X1)))),X0))) ),
inference(paramodulation,[status(thm)],[f1114,f1232]) ).
fof(f2391,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,not(X2)),X0))
| ~ is_a_theorem(or(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f1231,f342]) ).
fof(f2392,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1231,f700]) ).
fof(f2393,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(possibly(implies(or(X0,implies(X1,X2)),implies(and(X1,not(X2)),X0))))) ),
inference(resolution,[status(thm)],[f1231,f1152]) ).
fof(f2394,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(or(implies(or(X0,implies(X1,X2)),implies(and(X1,not(X2)),X0)),X3)) ),
inference(resolution,[status(thm)],[f1231,f1142]) ).
fof(f2395,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(or(X0,implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)))) ),
inference(resolution,[status(thm)],[f1231,f1164]) ).
fof(f2396,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(X0,implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)))) ),
inference(resolution,[status(thm)],[f1231,f1148]) ).
fof(f2398,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(X0),implies(X1,X2)),implies(and(X1,not(X2)),necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1119,f1231]) ).
fof(f2399,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(and(X2,not(X3)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1118,f1231]) ).
fof(f2400,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(and(not(X1),not(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1047,f1231]) ).
fof(f2401,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,possibly(X3)))),implies(and(X1,implies(X2,necessarily(not(X3)))),X0))) ),
inference(paramodulation,[status(thm)],[f1116,f1231]) ).
fof(f2402,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,implies(X3,X4)))),implies(and(X1,implies(X2,and(X3,not(X4)))),X0))) ),
inference(paramodulation,[status(thm)],[f1115,f1231]) ).
fof(f2404,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,implies(X1,necessarily(implies(X2,X3)))),implies(and(X1,possibly(and(X2,not(X3)))),X0))) ),
inference(paramodulation,[status(thm)],[f1117,f1231]) ).
fof(f2405,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,implies(X1,necessarily(possibly(X2)))),implies(and(X1,possibly(necessarily(not(X2)))),X0))) ),
inference(paramodulation,[status(thm)],[f1114,f1231]) ).
fof(f2407,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(or(X0,or(X0,X1))) ),
inference(resolution,[status(thm)],[f1221,f342]) ).
fof(f2408,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X1,or(X1,X2)),or(X1,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1221,f700]) ).
fof(f2409,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(implies(or(X0,or(X0,X1)),or(X0,X1))))) ),
inference(resolution,[status(thm)],[f1221,f1152]) ).
fof(f2410,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(or(implies(or(X0,or(X0,X1)),or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f1221,f1142]) ).
fof(f2411,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(or(X1,or(X1,X2)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1221,f1164]) ).
fof(f2412,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,implies(or(X1,or(X1,X2)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1221,f1148]) ).
fof(f2432,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X1,not(X0)),equiv(not(X0),X1)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f1162,f342]) ).
fof(f2433,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1162,f700]) ).
fof(f2434,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(possibly(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1)))))) ),
inference(resolution,[status(thm)],[f1162,f1152]) ).
fof(f2435,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(or(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1))),X2)) ),
inference(resolution,[status(thm)],[f1162,f1142]) ).
fof(f2436,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(or(X0,implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1162,f1164]) ).
fof(f2437,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1162,f1148]) ).
fof(f2441,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,not(X1)),implies(or(X1,not(X0)),equiv(not(X0),not(X1))))) ),
inference(paramodulation,[status(thm)],[f1047,f1162]) ).
fof(f2442,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X0,possibly(X1)),X2),implies(implies(X2,implies(X0,necessarily(not(X1)))),equiv(not(and(X0,possibly(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1116,f1162]) ).
fof(f2443,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),X3),implies(implies(X3,implies(X0,and(X1,not(X2)))),equiv(not(and(X0,implies(X1,X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1115,f1162]) ).
fof(f2445,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(necessarily(implies(X0,X1)),X2),implies(implies(X2,possibly(and(X0,not(X1)))),equiv(not(necessarily(implies(X0,X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1117,f1162]) ).
fof(f2446,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(necessarily(possibly(X0)),X1),implies(implies(X1,possibly(necessarily(not(X0)))),equiv(not(necessarily(possibly(X0))),X1)))) ),
inference(paramodulation,[status(thm)],[f1114,f1162]) ).
fof(f2458,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X0,possibly(X1)),X2),implies(implies(X2,implies(X0,necessarily(not(X1)))),equiv(implies(X0,necessarily(not(X1))),X2)))) ),
inference(forward_demodulation,[status(thm)],[f1116,f2442]) ).
fof(f2459,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),X3),implies(implies(X3,implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),X3)))) ),
inference(forward_demodulation,[status(thm)],[f1115,f2443]) ).
fof(f2462,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(necessarily(implies(X0,X1)),X2),implies(implies(X2,possibly(and(X0,not(X1)))),equiv(possibly(and(X0,not(X1))),X2)))) ),
inference(forward_demodulation,[status(thm)],[f1117,f2445]) ).
fof(f2463,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(necessarily(possibly(X0)),X1),implies(implies(X1,possibly(necessarily(not(X0)))),equiv(possibly(necessarily(not(X0))),X1)))) ),
inference(forward_demodulation,[status(thm)],[f1114,f2446]) ).
fof(f2474,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X1,implies(and(X2,X3),X3)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1345,f700]) ).
fof(f2475,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ25_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(possibly(or(X0,implies(and(X1,X2),X2))))) ),
inference(resolution,[status(thm)],[f1345,f1152]) ).
fof(f2476,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ25_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(and(X1,X2),X2)),X3)) ),
inference(resolution,[status(thm)],[f1345,f1142]) ).
fof(f2477,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ25_spl
| is_a_theorem(or(X0,or(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1345,f1164]) ).
fof(f2478,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1345,f1148]) ).
fof(f2479,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1345,f666]) ).
fof(f2480,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1119,f1345]) ).
fof(f2481,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1118,f1345]) ).
fof(f2482,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),X2),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1345]) ).
fof(f2483,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1120,f1345]) ).
fof(f2484,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1345]) ).
fof(f2485,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X1,X2),or(X0,X2)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f1287,f342]) ).
fof(f2486,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1287,f700]) ).
fof(f2487,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(possibly(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2)))))) ),
inference(resolution,[status(thm)],[f1287,f1152]) ).
fof(f2488,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(or(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f1287,f1142]) ).
fof(f2489,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(or(X0,implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))))) ),
inference(resolution,[status(thm)],[f1287,f1164]) ).
fof(f2490,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))))) ),
inference(resolution,[status(thm)],[f1287,f1148]) ).
fof(f2494,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,not(X1)),implies(or(X1,X2),or(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f1047,f1287]) ).
fof(f2501,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X1,implies(and(X2,X3),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1344,f700]) ).
fof(f2502,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ22_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(possibly(or(X0,implies(and(X1,X2),X1))))) ),
inference(resolution,[status(thm)],[f1344,f1152]) ).
fof(f2503,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ22_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(and(X1,X2),X1)),X3)) ),
inference(resolution,[status(thm)],[f1344,f1142]) ).
fof(f2504,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1344,f1164]) ).
fof(f2505,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1344,f1148]) ).
fof(f2506,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1344,f666]) ).
fof(f2507,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1119,f1344]) ).
fof(f2508,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1118,f1344]) ).
fof(f2509,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1121,f1344]) ).
fof(f2510,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,not(X2)),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1120,f1344]) ).
fof(f2511,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f1344]) ).
fof(f2512,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X1,implies(X2,or(X2,X3))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1356,f700]) ).
fof(f2513,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(possibly(or(X0,implies(X1,or(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1356,f1152]) ).
fof(f2514,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(X1,or(X1,X2))),X3)) ),
inference(resolution,[status(thm)],[f1356,f1142]) ).
fof(f2515,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1356,f1164]) ).
fof(f2516,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1356,f1148]) ).
fof(f2517,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1356,f666]) ).
fof(f2518,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1119,f1356]) ).
fof(f2519,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1118,f1356]) ).
fof(f2521,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(necessarily(not(X1)),implies(possibly(X1),X2)))) ),
inference(paramodulation,[status(thm)],[f1119,f1356]) ).
fof(f2522,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(and(X1,not(X2)),implies(implies(X1,X2),X3)))) ),
inference(paramodulation,[status(thm)],[f1118,f1356]) ).
fof(f2523,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(and(or(X1,implies(X2,or(X3,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1355,f700]) ).
fof(f2524,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(possibly(or(X0,implies(X1,or(X2,X1)))))) ),
inference(resolution,[status(thm)],[f1355,f1152]) ).
fof(f2525,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(X1,or(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f1355,f1142]) ).
fof(f2526,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1355,f1164]) ).
fof(f2527,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1355,f1148]) ).
fof(f2528,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)],[f1355,f666]) ).
fof(f2529,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)],[f1119,f1355]) ).
fof(f2530,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)],[f1118,f1355]) ).
fof(f2532,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)],[f1119,f1355]) ).
fof(f2533,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)],[f1118,f1355]) ).
fof(f2534,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X1,implies(X2,implies(X3,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1354,f700]) ).
fof(f2535,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(possibly(or(X0,implies(X1,implies(X2,X1)))))) ),
inference(resolution,[status(thm)],[f1354,f1152]) ).
fof(f2536,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(X1,implies(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f1354,f1142]) ).
fof(f2537,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1354,f1164]) ).
fof(f2538,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1354,f1148]) ).
fof(f2539,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(X0,implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1354,f666]) ).
fof(f2544,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X2,X1),implies(or(not(X0),X2),X1)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f1206,f342]) ).
fof(f2545,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1206,f700]) ).
fof(f2546,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(possibly(implies(or(X0,X1),implies(implies(X2,X1),implies(or(not(X0),X2),X1)))))) ),
inference(resolution,[status(thm)],[f1206,f1152]) ).
fof(f2547,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(implies(or(X0,X1),implies(implies(X2,X1),implies(or(not(X0),X2),X1))),X3)) ),
inference(resolution,[status(thm)],[f1206,f1142]) ).
fof(f2548,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(X0,implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))))) ),
inference(resolution,[status(thm)],[f1206,f1164]) ).
fof(f2549,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))))) ),
inference(resolution,[status(thm)],[f1206,f1148]) ).
fof(f2553,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(X2,X1),implies(or(not(X0),not(X2)),X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f1206]) ).
fof(f2554,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(and(X0,possibly(X1)),X2),implies(implies(X3,X2),implies(or(implies(X0,necessarily(not(X1))),X3),X2)))) ),
inference(paramodulation,[status(thm)],[f1116,f1206]) ).
fof(f2555,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),X3),implies(implies(X4,X3),implies(or(implies(X0,and(X1,not(X2))),X4),X3)))) ),
inference(paramodulation,[status(thm)],[f1115,f1206]) ).
fof(f2557,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(necessarily(implies(X0,X1)),X2),implies(implies(X3,X2),implies(or(possibly(and(X0,not(X1))),X3),X2)))) ),
inference(paramodulation,[status(thm)],[f1117,f1206]) ).
fof(f2558,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(necessarily(possibly(X0)),X1),implies(implies(X2,X1),implies(or(possibly(necessarily(not(X0))),X2),X1)))) ),
inference(paramodulation,[status(thm)],[f1114,f1206]) ).
fof(f2564,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(resolution,[status(thm)],[f1202,f342]) ).
fof(f2565,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(equiv(not(X1),X2),or(X1,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1202,f700]) ).
fof(f2566,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(possibly(implies(equiv(not(X0),X1),or(X0,X1))))) ),
inference(resolution,[status(thm)],[f1202,f1152]) ).
fof(f2567,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f1202,f1142]) ).
fof(f2568,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1202,f1164]) ).
fof(f2569,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1202,f1148]) ).
fof(f2571,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(implies(X0,necessarily(not(X1))),X2),or(and(X0,possibly(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f1116,f1202]) ).
fof(f2572,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(implies(X0,and(X1,not(X2))),X3),or(and(X0,implies(X1,X2)),X3))) ),
inference(paramodulation,[status(thm)],[f1115,f1202]) ).
fof(f2574,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(possibly(and(X0,not(X1))),X2),or(necessarily(implies(X0,X1)),X2))) ),
inference(paramodulation,[status(thm)],[f1117,f1202]) ).
fof(f2575,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(possibly(necessarily(not(X0))),X1),or(necessarily(possibly(X0)),X1))) ),
inference(paramodulation,[status(thm)],[f1114,f1202]) ).
fof(f2583,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(resolution,[status(thm)],[f1169,f342]) ).
fof(f2584,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(equiv(X1,not(X2)),or(X2,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1169,f700]) ).
fof(f2585,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(possibly(implies(equiv(X0,not(X1)),or(X1,X0))))) ),
inference(resolution,[status(thm)],[f1169,f1152]) ).
fof(f2586,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(implies(equiv(X0,not(X1)),or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f1169,f1142]) ).
fof(f2587,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1169,f1164]) ).
fof(f2588,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1169,f1148]) ).
fof(f2590,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(X0,implies(X1,necessarily(not(X2)))),or(and(X1,possibly(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1116,f1169]) ).
fof(f2591,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f1115,f1169]) ).
fof(f2593,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(X0,possibly(and(X1,not(X2)))),or(necessarily(implies(X1,X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1117,f1169]) ).
fof(f2594,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(X0,possibly(necessarily(not(X1)))),or(necessarily(possibly(X1)),X0))) ),
inference(paramodulation,[status(thm)],[f1114,f1169]) ).
fof(f2602,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f1285,f342]) ).
fof(f2603,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1285,f700]) ).
fof(f2604,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(possibly(implies(implies(X0,not(X1)),implies(or(X1,X2),implies(X0,X2)))))) ),
inference(resolution,[status(thm)],[f1285,f1152]) ).
fof(f2605,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(or(implies(implies(X0,not(X1)),implies(or(X1,X2),implies(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f1285,f1142]) ).
fof(f2606,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(or(X0,implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f1285,f1164]) ).
fof(f2607,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(X0,implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f1285,f1148]) ).
fof(f2610,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,implies(X1,necessarily(not(X2)))),implies(or(and(X1,possibly(X2)),X3),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f1116,f1285]) ).
fof(f2611,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X4),implies(X0,X4)))) ),
inference(paramodulation,[status(thm)],[f1115,f1285]) ).
fof(f2613,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,possibly(and(X1,not(X2)))),implies(or(necessarily(implies(X1,X2)),X3),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f1117,f1285]) ).
fof(f2614,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,possibly(necessarily(not(X1)))),implies(or(necessarily(possibly(X1)),X2),implies(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f1114,f1285]) ).
fof(f2626,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X1,implies(and(X2,X3),X3)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1245,f700]) ).
fof(f2627,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ25_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(possibly(implies(X0,implies(and(X1,X2),X2))))) ),
inference(resolution,[status(thm)],[f1245,f1152]) ).
fof(f2628,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ25_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(and(X1,X2),X2)),X3)) ),
inference(resolution,[status(thm)],[f1245,f1142]) ).
fof(f2629,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ25_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1245,f1164]) ).
fof(f2630,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ25_spl
| is_a_theorem(implies(X0,implies(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1245,f1148]) ).
fof(f2631,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1245,f666]) ).
fof(f2632,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1047,f1245]) ).
fof(f2633,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1245]) ).
fof(f2634,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1120,f1245]) ).
fof(f2635,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1245]) ).
fof(f2637,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X1,X0),equiv(X0,not(X1))))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f1163,f342]) ).
fof(f2638,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1163,f700]) ).
fof(f2639,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(possibly(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1))))))) ),
inference(resolution,[status(thm)],[f1163,f1152]) ).
fof(f2640,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(or(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1)))),X2)) ),
inference(resolution,[status(thm)],[f1163,f1142]) ).
fof(f2641,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(or(X0,implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f1163,f1164]) ).
fof(f2642,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(X0,implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f1163,f1148]) ).
fof(f2645,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,implies(X1,necessarily(not(X2)))),implies(or(and(X1,possibly(X2)),X0),equiv(X0,not(and(X1,possibly(X2))))))) ),
inference(paramodulation,[status(thm)],[f1116,f1163]) ).
fof(f2646,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X0),equiv(X0,not(and(X1,implies(X2,X3))))))) ),
inference(paramodulation,[status(thm)],[f1115,f1163]) ).
fof(f2648,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,possibly(and(X1,not(X2)))),implies(or(necessarily(implies(X1,X2)),X0),equiv(X0,not(necessarily(implies(X1,X2))))))) ),
inference(paramodulation,[status(thm)],[f1117,f1163]) ).
fof(f2649,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,possibly(necessarily(not(X1)))),implies(or(necessarily(possibly(X1)),X0),equiv(X0,not(necessarily(possibly(X1))))))) ),
inference(paramodulation,[status(thm)],[f1114,f1163]) ).
fof(f2659,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,implies(X1,necessarily(not(X2)))),implies(or(and(X1,possibly(X2)),X0),equiv(X0,implies(X1,necessarily(not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f2645]) ).
fof(f2660,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X0),equiv(X0,implies(X1,and(X2,not(X3))))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f2646]) ).
fof(f2663,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,possibly(and(X1,not(X2)))),implies(or(necessarily(implies(X1,X2)),X0),equiv(X0,possibly(and(X1,not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f2648]) ).
fof(f2664,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,possibly(necessarily(not(X1)))),implies(or(necessarily(possibly(X1)),X0),equiv(X0,possibly(necessarily(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f2649]) ).
fof(f2680,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X1,implies(and(X2,X3),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1244,f700]) ).
fof(f2681,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ22_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(possibly(implies(X0,implies(and(X1,X2),X1))))) ),
inference(resolution,[status(thm)],[f1244,f1152]) ).
fof(f2682,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ22_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(and(X1,X2),X1)),X3)) ),
inference(resolution,[status(thm)],[f1244,f1142]) ).
fof(f2683,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ22_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1244,f1164]) ).
fof(f2684,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1244,f1148]) ).
fof(f2685,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1244,f666]) ).
fof(f2686,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1047,f1244]) ).
fof(f2687,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1121,f1244]) ).
fof(f2688,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1120,f1244]) ).
fof(f2689,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f1244]) ).
fof(f2692,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X1,implies(X2,or(X2,X3))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1253,f700]) ).
fof(f2693,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(possibly(implies(X0,implies(X1,or(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1253,f1152]) ).
fof(f2694,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(X1,or(X1,X2))),X3)) ),
inference(resolution,[status(thm)],[f1253,f1142]) ).
fof(f2695,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1253,f1164]) ).
fof(f2696,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1253,f1148]) ).
fof(f2697,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1253,f666]) ).
fof(f2698,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1047,f1253]) ).
fof(f2700,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(necessarily(not(X1)),implies(possibly(X1),X2)))) ),
inference(paramodulation,[status(thm)],[f1119,f1253]) ).
fof(f2701,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(and(X1,not(X2)),implies(implies(X1,X2),X3)))) ),
inference(paramodulation,[status(thm)],[f1118,f1253]) ).
fof(f2704,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X1,implies(X2,or(X3,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1252,f700]) ).
fof(f2705,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(possibly(implies(X0,implies(X1,or(X2,X1)))))) ),
inference(resolution,[status(thm)],[f1252,f1152]) ).
fof(f2706,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(X1,or(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f1252,f1142]) ).
fof(f2707,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1252,f1164]) ).
fof(f2708,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1252,f1148]) ).
fof(f2709,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1252,f666]) ).
fof(f2716,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X1,implies(X2,implies(X3,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1251,f700]) ).
fof(f2717,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(possibly(implies(X0,implies(X1,implies(X2,X1)))))) ),
inference(resolution,[status(thm)],[f1251,f1152]) ).
fof(f2718,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(X1,implies(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f1251,f1142]) ).
fof(f2719,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1251,f1164]) ).
fof(f2720,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1251,f1148]) ).
fof(f2721,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)],[f1251,f666]) ).
fof(f2722,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)],[f1047,f1251]) ).
fof(f2724,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)],[f1047,f1251]) ).
fof(f2726,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(necessarily(not(X0)),necessarily(X1)),necessarily(or(X0,X1))),equiv(necessarily(or(X0,X1)),implies(necessarily(not(X0)),necessarily(X1))))) ),
inference(resolution,[status(thm)],[f1160,f1159]) ).
fof(f2727,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(necessarily(X0),necessarily(X1)),necessarily(implies(X0,X1))),equiv(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))) ),
inference(resolution,[status(thm)],[f1160,f734]) ).
fof(f2728,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(necessarily(necessarily(X0)),necessarily(X0)),equiv(necessarily(X0),necessarily(necessarily(X0))))) ),
inference(resolution,[status(thm)],[f1160,f756]) ).
fof(f2729,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,necessarily(X0)),equiv(necessarily(X0),X0))) ),
inference(resolution,[status(thm)],[f1160,f745]) ).
fof(f2730,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,and(X1,X0)),equiv(and(X1,X0),X0))) ),
inference(resolution,[status(thm)],[f1160,f431]) ).
fof(f2731,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,and(X0,X1)),equiv(and(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f1160,f420]) ).
fof(f2732,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(implies(or(X0,X1),equiv(X1,not(X0))),implies(X1,not(X0))),equiv(implies(X1,not(X0)),implies(or(X0,X1),equiv(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f1160,f1163]) ).
fof(f2733,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(or(X0,X1),implies(X2,X1)),implies(X2,not(X0))),equiv(implies(X2,not(X0)),implies(or(X0,X1),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1160,f1285]) ).
fof(f2734,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,X1),implies(X0,implies(X0,X1))),equiv(implies(X0,implies(X0,X1)),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1160,f398]) ).
fof(f2735,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),equiv(X1,X0)),implies(X1,X0)),equiv(implies(X1,X0),implies(implies(X0,X1),equiv(X1,X0))))) ),
inference(resolution,[status(thm)],[f1160,f508]) ).
fof(f2736,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(or(X2,X0),X1)),implies(X2,X1)),equiv(implies(X2,X1),implies(implies(X0,X1),implies(or(X2,X0),X1))))) ),
inference(resolution,[status(thm)],[f1160,f475]) ).
fof(f2737,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X2,X0)),equiv(implies(X2,X0),implies(implies(X0,X1),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1160,f409]) ).
fof(f2738,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(or(X0,X1),equiv(not(X0),X1)),equiv(equiv(not(X0),X1),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f1160,f1202]) ).
fof(f2739,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(or(X0,X1),equiv(X1,not(X0))),equiv(equiv(X1,not(X0)),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f1160,f1169]) ).
fof(f2740,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,X1),equiv(X1,X0)),equiv(equiv(X1,X0),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1160,f497]) ).
fof(f2741,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,X1),equiv(X0,X1)),equiv(equiv(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1160,f486]) ).
fof(f2742,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(or(X0,X1),or(X0,or(X0,X1))),equiv(or(X0,or(X0,X1)),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f1160,f1221]) ).
fof(f2743,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(and(X0,not(X1)),X2),or(X2,implies(X0,X1))),equiv(or(X2,implies(X0,X1)),implies(and(X0,not(X1)),X2)))) ),
inference(resolution,[status(thm)],[f1160,f1231]) ).
fof(f2744,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(necessarily(not(X0)),X1),or(X1,possibly(X0))),equiv(or(X1,possibly(X0)),implies(necessarily(not(X0)),X1)))) ),
inference(resolution,[status(thm)],[f1160,f1232]) ).
fof(f2745,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(or(X0,X1),or(X1,not(not(X0)))),equiv(or(X1,not(not(X0))),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f1160,f1233]) ).
fof(f2746,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,X1),or(X1,not(X0))),equiv(or(X1,not(X0)),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1160,f1044]) ).
fof(f2747,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(implies(implies(X0,not(X1)),equiv(not(X1),X0)),or(X1,X0)),equiv(or(X1,X0),implies(implies(X0,not(X1)),equiv(not(X1),X0))))) ),
inference(resolution,[status(thm)],[f1160,f1162]) ).
fof(f2748,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(or(not(X2),X0),X1)),or(X2,X1)),equiv(or(X2,X1),implies(implies(X0,X1),implies(or(not(X2),X0),X1))))) ),
inference(resolution,[status(thm)],[f1160,f1206]) ).
fof(f2749,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),or(X2,X1)),or(X2,X0)),equiv(or(X2,X0),implies(implies(X0,X1),or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1160,f1287]) ).
fof(f2750,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(strict_equiv(sK60_skl,sK61_skl),X0),equiv(X0,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1160,f1264]) ).
fof(f2751,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(or(X0,X1),X0),equiv(X0,or(X0,X1)))) ),
inference(resolution,[status(thm)],[f1160,f453]) ).
fof(f2752,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(or(X0,X1),X1),equiv(X1,or(X0,X1)))) ),
inference(resolution,[status(thm)],[f1160,f464]) ).
fof(f2753,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(and(X0,X1),X0),X2),equiv(X2,implies(and(X0,X1),X0)))) ),
inference(resolution,[status(thm)],[f1160,f1244]) ).
fof(f2754,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(and(X0,X1),X1),X2),equiv(X2,implies(and(X0,X1),X1)))) ),
inference(resolution,[status(thm)],[f1160,f1245]) ).
fof(f2755,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(necessarily(X0),X0),X1),equiv(X1,implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f1160,f1248]) ).
fof(f2756,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),equiv(X2,implies(X0,implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f1160,f1251]) ).
fof(f2757,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,or(X1,X0)),X2),equiv(X2,implies(X0,or(X1,X0))))) ),
inference(resolution,[status(thm)],[f1160,f1252]) ).
fof(f2758,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,or(X0,X1)),X2),equiv(X2,implies(X0,or(X0,X1))))) ),
inference(resolution,[status(thm)],[f1160,f1253]) ).
fof(f2759,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,X0)),X1),equiv(X1,implies(X0,and(X1,X0))))) ),
inference(resolution,[status(thm)],[f1160,f442]) ).
fof(f2760,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,X1),X1),equiv(X1,implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1160,f387]) ).
fof(f2761,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(necessarily(possibly(X0)),X0),equiv(X0,necessarily(possibly(X0))))) ),
inference(resolution,[status(thm)],[f1160,f767]) ).
fof(f2763,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(implies(or(X0,X1),implies(or(X2,not(X0)),X1)),implies(X2,X1)),equiv(implies(X2,X1),implies(or(X0,X1),implies(or(X2,not(X0)),X1))))) ),
inference(resolution,[status(thm)],[f1207,f1160]) ).
fof(f2764,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X2,X1),implies(or(X0,not(X2)),X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f1207,f342]) ).
fof(f2765,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1207,f700]) ).
fof(f2766,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(possibly(implies(implies(X0,X1),implies(or(X2,X1),implies(or(X0,not(X2)),X1)))))) ),
inference(resolution,[status(thm)],[f1207,f1152]) ).
fof(f2767,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(or(X2,X1),implies(or(X0,not(X2)),X1))),X3)) ),
inference(resolution,[status(thm)],[f1207,f1142]) ).
fof(f2768,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))))) ),
inference(resolution,[status(thm)],[f1207,f1164]) ).
fof(f2769,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))))) ),
inference(resolution,[status(thm)],[f1207,f1148]) ).
fof(f2774,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(necessarily(not(X0)),X1),implies(or(X2,X1),implies(implies(possibly(X0),not(X2)),X1)))) ),
inference(paramodulation,[status(thm)],[f1119,f1207]) ).
fof(f2775,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),X2),implies(or(X3,X2),implies(implies(implies(X0,X1),not(X3)),X2)))) ),
inference(paramodulation,[status(thm)],[f1118,f1207]) ).
fof(f2776,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(and(X2,possibly(X3)),X1),implies(or(X0,implies(X2,necessarily(not(X3)))),X1)))) ),
inference(paramodulation,[status(thm)],[f1116,f1207]) ).
fof(f2777,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(and(X2,implies(X3,X4)),X1),implies(or(X0,implies(X2,and(X3,not(X4)))),X1)))) ),
inference(paramodulation,[status(thm)],[f1115,f1207]) ).
fof(f2779,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(necessarily(implies(X2,X3)),X1),implies(or(X0,possibly(and(X2,not(X3)))),X1)))) ),
inference(paramodulation,[status(thm)],[f1117,f1207]) ).
fof(f2780,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(necessarily(possibly(X2)),X1),implies(or(X0,possibly(necessarily(not(X2)))),X1)))) ),
inference(paramodulation,[status(thm)],[f1114,f1207]) ).
fof(f2786,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(necessarily(not(X1)),necessarily(X2))),implies(or(necessarily(or(X1,X2)),X0),implies(necessarily(not(X1)),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1203,f1159]) ).
fof(f2787,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(necessarily(X1),necessarily(X2))),implies(or(necessarily(implies(X1,X2)),X0),implies(necessarily(X1),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1203,f734]) ).
fof(f2788,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,necessarily(necessarily(X1))),implies(or(necessarily(X1),X0),necessarily(necessarily(X1))))) ),
inference(resolution,[status(thm)],[f1203,f756]) ).
fof(f2789,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(necessarily(X1),X0),X1))) ),
inference(resolution,[status(thm)],[f1203,f745]) ).
fof(f2790,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(and(X2,X1),X0),X1))) ),
inference(resolution,[status(thm)],[f1203,f431]) ).
fof(f2791,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(and(X1,X2),X0),X1))) ),
inference(resolution,[status(thm)],[f1203,f420]) ).
fof(f2792,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(or(X1,X2),equiv(X2,not(X1)))),implies(or(implies(X2,not(X1)),X0),implies(or(X1,X2),equiv(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f1203,f1163]) ).
fof(f2793,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(or(X1,X2),implies(X3,X2))),implies(or(implies(X3,not(X1)),X0),implies(or(X1,X2),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1203,f1285]) ).
fof(f2794,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(or(implies(X1,implies(X1,X2)),X0),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1203,f398]) ).
fof(f2795,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,implies(or(X1,X2),implies(or(X3,not(X1)),X2))),implies(or(implies(X3,X2),X0),implies(or(X1,X2),implies(or(X3,not(X1)),X2))))) ),
inference(resolution,[status(thm)],[f1203,f1207]) ).
fof(f2796,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,X2),equiv(X2,X1))),implies(or(implies(X2,X1),X0),implies(implies(X1,X2),equiv(X2,X1))))) ),
inference(resolution,[status(thm)],[f1203,f508]) ).
fof(f2797,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,X2),implies(or(X3,X1),X2))),implies(or(implies(X3,X2),X0),implies(implies(X1,X2),implies(or(X3,X1),X2))))) ),
inference(resolution,[status(thm)],[f1203,f475]) ).
fof(f2798,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,X2),implies(X3,X2))),implies(or(implies(X3,X1),X0),implies(implies(X1,X2),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1203,f409]) ).
fof(f2799,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(or(equiv(not(X1),X2),X0),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1203,f1202]) ).
fof(f2800,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(or(equiv(X2,not(X1)),X0),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1203,f1169]) ).
fof(f2801,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(or(equiv(X2,X1),X0),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1203,f497]) ).
fof(f2802,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(or(equiv(X1,X2),X0),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1203,f486]) ).
fof(f2803,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(or(or(X1,or(X1,X2)),X0),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1203,f1221]) ).
fof(f2804,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(and(X1,not(X2)),X3)),implies(or(or(X3,implies(X1,X2)),X0),implies(and(X1,not(X2)),X3)))) ),
inference(resolution,[status(thm)],[f1203,f1231]) ).
fof(f2805,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(necessarily(not(X1)),X2)),implies(or(or(X2,possibly(X1)),X0),implies(necessarily(not(X1)),X2)))) ),
inference(resolution,[status(thm)],[f1203,f1232]) ).
fof(f2806,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(or(or(X2,not(not(X1))),X0),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1203,f1233]) ).
fof(f2807,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(or(or(X2,not(X1)),X0),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1203,f1044]) ).
fof(f2808,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,not(X2)),equiv(not(X2),X1))),implies(or(or(X2,X1),X0),implies(implies(X1,not(X2)),equiv(not(X2),X1))))) ),
inference(resolution,[status(thm)],[f1203,f1162]) ).
fof(f2809,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,X2),implies(or(not(X3),X1),X2))),implies(or(or(X3,X2),X0),implies(implies(X1,X2),implies(or(not(X3),X1),X2))))) ),
inference(resolution,[status(thm)],[f1203,f1206]) ).
fof(f2810,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,X2),or(X3,X2))),implies(or(or(X3,X1),X0),implies(implies(X1,X2),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1203,f1287]) ).
fof(f2812,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(or(X1,X0),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1203,f453]) ).
fof(f2813,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(or(X2,X0),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1203,f464]) ).
fof(f2820,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,and(X2,X1))),implies(or(X2,X0),implies(X1,and(X2,X1))))) ),
inference(resolution,[status(thm)],[f1203,f442]) ).
fof(f2821,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(or(X2,X0),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1203,f387]) ).
fof(f2822,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(or(X1,X0),necessarily(possibly(X1))))) ),
inference(resolution,[status(thm)],[f1203,f767]) ).
fof(f2824,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(necessarily(not(X0)),necessarily(X1)),X2),implies(necessarily(or(X0,X1)),X2))) ),
inference(resolution,[status(thm)],[f1280,f1159]) ).
fof(f2825,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(necessarily(X0),necessarily(X1)),X2),implies(necessarily(implies(X0,X1)),X2))) ),
inference(resolution,[status(thm)],[f1280,f734]) ).
fof(f2826,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(necessarily(necessarily(X0)),X1),implies(necessarily(X0),X1))) ),
inference(resolution,[status(thm)],[f1280,f756]) ).
fof(f2827,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(necessarily(X0),X1))) ),
inference(resolution,[status(thm)],[f1280,f745]) ).
fof(f2828,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X2,X0),X1))) ),
inference(resolution,[status(thm)],[f1280,f431]) ).
fof(f2829,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X0,X2),X1))) ),
inference(resolution,[status(thm)],[f1280,f420]) ).
fof(f2830,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(or(X0,X1),equiv(X1,not(X0))),X2),implies(implies(X1,not(X0)),X2))) ),
inference(resolution,[status(thm)],[f1280,f1163]) ).
fof(f2831,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(implies(or(X0,X1),implies(X2,X1)),X3),implies(implies(X2,not(X0)),X3))) ),
inference(resolution,[status(thm)],[f1280,f1285]) ).
fof(f2832,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,implies(X0,X1)),X2))) ),
inference(resolution,[status(thm)],[f1280,f398]) ).
fof(f2833,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(or(X0,X1),implies(or(X2,not(X0)),X1)),X3),implies(implies(X2,X1),X3))) ),
inference(resolution,[status(thm)],[f1280,f1207]) ).
fof(f2834,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),equiv(X1,X0)),X2),implies(implies(X1,X0),X2))) ),
inference(resolution,[status(thm)],[f1280,f508]) ).
fof(f2835,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(or(X2,X0),X1)),X3),implies(implies(X2,X1),X3))) ),
inference(resolution,[status(thm)],[f1280,f475]) ).
fof(f2836,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))) ),
inference(resolution,[status(thm)],[f1280,f409]) ).
fof(f2837,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),implies(equiv(not(X0),X1),X2))) ),
inference(resolution,[status(thm)],[f1280,f1202]) ).
fof(f2838,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),implies(equiv(X1,not(X0)),X2))) ),
inference(resolution,[status(thm)],[f1280,f1169]) ).
fof(f2839,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(equiv(X1,X0),X2))) ),
inference(resolution,[status(thm)],[f1280,f497]) ).
fof(f2840,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(equiv(X0,X1),X2))) ),
inference(resolution,[status(thm)],[f1280,f486]) ).
fof(f2841,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),implies(or(X0,or(X0,X1)),X2))) ),
inference(resolution,[status(thm)],[f1280,f1221]) ).
fof(f2842,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(and(X0,not(X1)),X2),X3),implies(or(X2,implies(X0,X1)),X3))) ),
inference(resolution,[status(thm)],[f1280,f1231]) ).
fof(f2843,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(necessarily(not(X0)),X1),X2),implies(or(X1,possibly(X0)),X2))) ),
inference(resolution,[status(thm)],[f1280,f1232]) ).
fof(f2844,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),implies(or(X1,not(not(X0))),X2))) ),
inference(resolution,[status(thm)],[f1280,f1233]) ).
fof(f2845,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(or(X1,not(X0)),X2))) ),
inference(resolution,[status(thm)],[f1280,f1044]) ).
fof(f2846,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(implies(X0,not(X1)),equiv(not(X1),X0)),X2),implies(or(X1,X0),X2))) ),
inference(resolution,[status(thm)],[f1280,f1162]) ).
fof(f2847,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(or(not(X2),X0),X1)),X3),implies(or(X2,X1),X3))) ),
inference(resolution,[status(thm)],[f1280,f1206]) ).
fof(f2848,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),or(X2,X1)),X3),implies(or(X2,X0),X3))) ),
inference(resolution,[status(thm)],[f1280,f1287]) ).
fof(f2849,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(strict_equiv(sK60_skl,sK61_skl),X0),implies(X1,X0))) ),
inference(resolution,[status(thm)],[f1280,f1264]) ).
fof(f2850,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),implies(X0,X2))) ),
inference(resolution,[status(thm)],[f1280,f453]) ).
fof(f2851,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f1280,f464]) ).
fof(f2852,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(and(X0,X1),X0),X2),implies(X3,X2))) ),
inference(resolution,[status(thm)],[f1280,f1244]) ).
fof(f2853,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(and(X0,X1),X1),X2),implies(X3,X2))) ),
inference(resolution,[status(thm)],[f1280,f1245]) ).
fof(f2854,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(necessarily(X0),X0),X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f1280,f1248]) ).
fof(f2855,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))) ),
inference(resolution,[status(thm)],[f1280,f1251]) ).
fof(f2856,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,or(X1,X0)),X2),implies(X3,X2))) ),
inference(resolution,[status(thm)],[f1280,f1252]) ).
fof(f2857,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,or(X0,X1)),X2),implies(X3,X2))) ),
inference(resolution,[status(thm)],[f1280,f1253]) ).
fof(f2858,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,X0)),X2),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f1280,f442]) ).
fof(f2859,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f1280,f387]) ).
fof(f2860,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(necessarily(possibly(X0)),X1),implies(X0,X1))) ),
inference(resolution,[status(thm)],[f1280,f767]) ).
fof(f2863,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)],[f1208,f1127]) ).
fof(f2864,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)],[f1208,f1146]) ).
fof(f2865,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)],[f1208,f1171]) ).
fof(f2866,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1216]) ).
fof(f2867,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1161]) ).
fof(f2868,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2)))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1205]) ).
fof(f2869,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1283]) ).
fof(f2870,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(equiv(X1,X2),implies(X2,X1))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1168]) ).
fof(f2871,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(equiv(X1,X2),implies(X1,X2))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1201]) ).
fof(f2872,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(or(X1,not(X2)),implies(X2,X1))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1230]) ).
fof(f2873,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2)))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1158]) ).
fof(f2874,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(necessarily(X1),necessarily(necessarily(X1)))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1156]) ).
fof(f2875,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)],[f1208,f1132]) ).
fof(f2876,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,necessarily(possibly(X1)))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1153]) ).
fof(f2877,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)],[f1208,f1143]) ).
fof(f2878,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)],[f1208,f1165]) ).
fof(f2879,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,implies(X2,and(X1,X2)))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1210]) ).
fof(f2880,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)],[f1208,f1149]) ).
fof(f2881,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(implies(and(X1,X2),X1),X3),X0))) ),
inference(resolution,[status(thm)],[f1208,f1175]) ).
fof(f2882,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(implies(and(X1,X2),X2),X3),X0))) ),
inference(resolution,[status(thm)],[f1208,f1176]) ).
fof(f2883,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(implies(necessarily(X1),X1),X2),X0))) ),
inference(resolution,[status(thm)],[f1208,f1179]) ).
fof(f2884,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(implies(X1,implies(X2,X1)),X3),X0))) ),
inference(resolution,[status(thm)],[f1208,f1181]) ).
fof(f2885,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(implies(X1,or(X2,X1)),X3),X0))) ),
inference(resolution,[status(thm)],[f1208,f1182]) ).
fof(f2886,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)],[f1208,f1183]) ).
fof(f2887,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(strict_equiv(sK60_skl,sK61_skl),X1),X0))) ),
inference(resolution,[status(thm)],[f1208,f1194]) ).
fof(f2888,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,strict_equiv(sK60_skl,sK61_skl)),X0))) ),
inference(resolution,[status(thm)],[f1208,f1367]) ).
fof(f2889,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)],[f1208,f1144]) ).
fof(f2890,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)],[f1208,f1166]) ).
fof(f2891,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,implies(and(X2,X3),X2)),X0))) ),
inference(resolution,[status(thm)],[f1208,f1344]) ).
fof(f2892,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,implies(and(X2,X3),X3)),X0))) ),
inference(resolution,[status(thm)],[f1208,f1345]) ).
fof(f2893,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,implies(necessarily(X2),X2)),X0))) ),
inference(resolution,[status(thm)],[f1208,f1348]) ).
fof(f2894,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,implies(X3,X2))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1354]) ).
fof(f2895,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)],[f1208,f1355]) ).
fof(f2896,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,or(X2,X3))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1356]) ).
fof(f2897,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)],[f1208,f1150]) ).
fof(f2898,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,and(not(X1),X2))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1211]) ).
fof(f2899,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,necessarily(possibly(not(X1)))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1154]) ).
fof(f2900,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)],[f1208,f723]) ).
fof(f2901,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(necessarily(or(X1,X2)),implies(necessarily(not(X1)),necessarily(X2))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1159]) ).
fof(f2902,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))),X0))) ),
inference(resolution,[status(thm)],[f1208,f734]) ).
fof(f2903,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(necessarily(X1),necessarily(necessarily(X1))),X0))) ),
inference(resolution,[status(thm)],[f1208,f756]) ).
fof(f2904,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(necessarily(X1),X1),X0))) ),
inference(resolution,[status(thm)],[f1208,f745]) ).
fof(f2905,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)],[f1208,f431]) ).
fof(f2906,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)],[f1208,f420]) ).
fof(f2907,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1163]) ).
fof(f2908,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1285]) ).
fof(f2909,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)],[f1208,f398]) ).
fof(f2910,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1207]) ).
fof(f2911,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))),X0))) ),
inference(resolution,[status(thm)],[f1208,f508]) ).
fof(f2912,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)],[f1208,f475]) ).
fof(f2913,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),X0))) ),
inference(resolution,[status(thm)],[f1208,f409]) ).
fof(f2914,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(equiv(not(X1),X2),or(X1,X2)),X0))) ),
inference(resolution,[status(thm)],[f1208,f1202]) ).
fof(f2915,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(equiv(X1,not(X2)),or(X2,X1)),X0))) ),
inference(resolution,[status(thm)],[f1208,f1169]) ).
fof(f2916,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)],[f1208,f497]) ).
fof(f2917,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)],[f1208,f486]) ).
fof(f2918,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(or(X1,or(X1,X2)),or(X1,X2)),X0))) ),
inference(resolution,[status(thm)],[f1208,f1221]) ).
fof(f2919,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)),X0))) ),
inference(resolution,[status(thm)],[f1208,f1231]) ).
fof(f2920,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(or(X1,possibly(X2)),implies(necessarily(not(X2)),X1)),X0))) ),
inference(resolution,[status(thm)],[f1208,f1232]) ).
fof(f2921,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(or(X1,not(not(X2))),or(X2,X1)),X0))) ),
inference(resolution,[status(thm)],[f1208,f1233]) ).
fof(f2922,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)],[f1208,f1044]) ).
fof(f2923,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1162]) ).
fof(f2924,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1206]) ).
fof(f2925,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1287]) ).
fof(f2926,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,strict_equiv(sK60_skl,sK61_skl)),X0))) ),
inference(resolution,[status(thm)],[f1208,f1264]) ).
fof(f2927,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)],[f1208,f453]) ).
fof(f2928,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)],[f1208,f464]) ).
fof(f2929,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(and(X2,X3),X2)),X0))) ),
inference(resolution,[status(thm)],[f1208,f1244]) ).
fof(f2930,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(and(X2,X3),X3)),X0))) ),
inference(resolution,[status(thm)],[f1208,f1245]) ).
fof(f2931,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(necessarily(X2),X2)),X0))) ),
inference(resolution,[status(thm)],[f1208,f1248]) ).
fof(f2932,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)],[f1208,f1251]) ).
fof(f2933,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,or(X3,X2))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1252]) ).
fof(f2934,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,or(X2,X3))),X0))) ),
inference(resolution,[status(thm)],[f1208,f1253]) ).
fof(f2935,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)],[f1208,f442]) ).
fof(f2936,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)],[f1208,f387]) ).
fof(f2937,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,necessarily(possibly(X1))),X0))) ),
inference(resolution,[status(thm)],[f1208,f767]) ).
fof(f2938,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(or(X0,and(X1,not(X0))),X2),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f1212,f1280]) ).
fof(f2939,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,or(X1,and(X2,not(X1)))),implies(or(X2,X0),or(X1,and(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f1212,f1203]) ).
fof(f2940,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(or(X0,and(X1,not(X0))),X1),equiv(X1,or(X0,and(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f1212,f1160]) ).
fof(f2941,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X1,and(X0,not(X1))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1212,f342]) ).
fof(f2942,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,and(implies(X1,or(X2,and(X1,not(X2)))),X0))) ),
inference(resolution,[status(thm)],[f1212,f1208]) ).
fof(f2943,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X1,or(X2,and(X1,not(X2)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1212,f700]) ).
fof(f2944,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(possibly(implies(X0,or(X1,and(X0,not(X1))))))) ),
inference(resolution,[status(thm)],[f1212,f1152]) ).
fof(f2945,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(implies(X0,or(X1,and(X0,not(X1)))),X2)) ),
inference(resolution,[status(thm)],[f1212,f1142]) ).
fof(f2946,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,implies(X1,or(X2,and(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f1212,f1164]) ).
fof(f2947,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,and(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f1212,f1148]) ).
fof(f2952,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,or(and(X1,possibly(X2)),and(X0,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1116,f1212]) ).
fof(f2953,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,or(and(X1,implies(X2,X3)),and(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1115,f1212]) ).
fof(f2955,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,or(necessarily(implies(X1,X2)),and(X0,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1117,f1212]) ).
fof(f2956,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,or(necessarily(possibly(X1)),and(X0,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1114,f1212]) ).
fof(f2962,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| is_a_theorem(possibly(strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1964,f1131]) ).
fof(f2963,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ104_spl
| ~ sQ116_spl
| is_a_theorem(implies(X0,and(necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))),X0))) ),
inference(resolution,[status(thm)],[f1964,f1208]) ).
fof(f2964,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1964,f700]) ).
fof(f2965,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ104_spl
| is_a_theorem(necessarily(possibly(necessarily(possibly(strict_equiv(sK60_skl,sK61_skl)))))) ),
inference(resolution,[status(thm)],[f1964,f1152]) ).
fof(f2966,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ116_spl
| is_a_theorem(or(necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))),X0)) ),
inference(resolution,[status(thm)],[f1964,f1142]) ).
fof(f2967,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ116_spl
| is_a_theorem(or(X0,necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1164]) ).
fof(f2968,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ116_spl
| is_a_theorem(implies(X0,necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1148]) ).
fof(f2969,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f666]) ).
fof(f2970,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| is_a_theorem(implies(X0,and(possibly(strict_equiv(sK60_skl,sK61_skl)),X0))) ),
inference(resolution,[status(thm)],[f2962,f1208]) ).
fof(f2971,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| is_a_theorem(and(possibly(strict_equiv(sK60_skl,sK61_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2962,f700]) ).
fof(f2972,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ104_spl
| is_a_theorem(necessarily(possibly(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2962,f1152]) ).
fof(f2973,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| is_a_theorem(or(possibly(strict_equiv(sK60_skl,sK61_skl)),X0)) ),
inference(resolution,[status(thm)],[f2962,f1142]) ).
fof(f2974,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| is_a_theorem(or(X0,possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f2962,f1164]) ).
fof(f2975,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| is_a_theorem(implies(X0,possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f2962,f1148]) ).
fof(f2977,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f1228,f1175]) ).
fof(f2978,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f1228,f1176]) ).
fof(f2979,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f1228,f1179]) ).
fof(f2981,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1228,f1182]) ).
fof(f2982,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1228,f1183]) ).
fof(f2983,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1228,f1194]) ).
fof(f2984,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(X1,necessarily(not(X0))))
| ~ is_a_theorem(implies(possibly(X0),not(X1))) ),
inference(paramodulation,[status(thm)],[f1119,f1228]) ).
fof(f2985,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(X2,and(X0,not(X1))))
| ~ is_a_theorem(implies(implies(X0,X1),not(X2))) ),
inference(paramodulation,[status(thm)],[f1118,f1228]) ).
fof(f2986,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,possibly(X2)),X0))
| ~ is_a_theorem(or(X0,implies(X1,necessarily(not(X2))))) ),
inference(paramodulation,[status(thm)],[f1116,f1228]) ).
fof(f2987,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,implies(X2,X3)),X0))
| ~ is_a_theorem(or(X0,implies(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f1115,f1228]) ).
fof(f2989,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X1,X2)),X0))
| ~ is_a_theorem(or(X0,possibly(and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1117,f1228]) ).
fof(f2990,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(possibly(X1)),X0))
| ~ is_a_theorem(or(X0,possibly(necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1114,f1228]) ).
fof(f2992,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f508]) ).
fof(f2993,plain,
! [X0,X1] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f1214,f475]) ).
fof(f2994,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f409]) ).
fof(f3001,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f442]) ).
fof(f3002,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1214,f387]) ).
fof(f3005,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ16_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3001,f518,f397,f341,f441]) ).
fof(f3010,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(and(X0,X0),X1),implies(X0,X1))) ),
inference(resolution,[status(thm)],[f519,f1280]) ).
fof(f3011,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,and(X1,X1)),implies(or(X1,X0),and(X1,X1)))) ),
inference(resolution,[status(thm)],[f519,f1203]) ).
fof(f3012,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(and(X0,X0),X0),equiv(X0,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f519,f1160]) ).
fof(f3013,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(X0,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f519,f342]) ).
fof(f3014,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(implies(X1,and(X1,X1)),X0))) ),
inference(resolution,[status(thm)],[f519,f1208]) ).
fof(f3015,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X1,and(X1,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f519,f700]) ).
fof(f3016,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(implies(X0,and(X0,X0))))) ),
inference(resolution,[status(thm)],[f519,f1152]) ).
fof(f3017,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,and(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f519,f1142]) ).
fof(f3018,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f519,f1164]) ).
fof(f3019,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f519,f1148]) ).
fof(f3020,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(implies(X0,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f519,f666]) ).
fof(f3021,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(not(X0),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f519]) ).
fof(f3022,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f659,f519]) ).
fof(f3024,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(X1,X0),X1))) ),
inference(resolution,[status(thm)],[f3002,f1203]) ).
fof(f3027,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(implies(X1,X1),X0))) ),
inference(resolution,[status(thm)],[f3002,f1208]) ).
fof(f3028,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X1,X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3002,f700]) ).
fof(f3029,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f3002,f1152]) ).
fof(f3030,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f3002,f1142]) ).
fof(f3031,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f3002,f1164]) ).
fof(f3032,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f3002,f1148]) ).
fof(f3033,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(X0,X0))) ),
inference(resolution,[status(thm)],[f3002,f666]) ).
fof(f3034,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(paramodulation,[status(thm)],[f1047,f3002]) ).
fof(f3035,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(and(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f1122,f1175]) ).
fof(f3036,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(and(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f1122,f1176]) ).
fof(f3038,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(X0,implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1122,f1181]) ).
fof(f3039,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(X0,or(X1,X0)))) ),
inference(resolution,[status(thm)],[f1122,f1182]) ).
fof(f3040,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)],[f1122,f1183]) ).
fof(f3056,definition,
! [X0,X1] :
( sQ185_spl
<=> ~ is_a_theorem(not(implies(and(X0,X1),X0))) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f3057,plain,
! [X0,X1] :
( ~ sQ185_spl
| ~ is_a_theorem(not(implies(and(X0,X1),X0))) ),
inference(component_clause,[status(thm)],[f3056]) ).
fof(f3059,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f3035,f3056,f1459,f644,f630,f452,f341,f419]) ).
fof(f3060,definition,
! [X0,X1] :
( sQ186_spl
<=> ~ is_a_theorem(not(implies(and(X0,X1),X1))) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f3061,plain,
! [X0,X1] :
( ~ sQ186_spl
| ~ is_a_theorem(not(implies(and(X0,X1),X1))) ),
inference(component_clause,[status(thm)],[f3060]) ).
fof(f3063,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f3036,f3060,f1459,f644,f630,f452,f341,f430]) ).
fof(f3065,definition,
! [X0,X1] :
( sQ187_spl
<=> ~ is_a_theorem(not(implies(X0,implies(X1,X0)))) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f3066,plain,
! [X0,X1] :
( ~ sQ187_spl
| ~ is_a_theorem(not(implies(X0,implies(X1,X0)))) ),
inference(component_clause,[status(thm)],[f3065]) ).
fof(f3068,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f3038,f3065,f1459,f644,f630,f452,f341,f386]) ).
fof(f3069,definition,
! [X0,X1] :
( sQ188_spl
<=> ~ is_a_theorem(not(implies(X0,or(X1,X0)))) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f3070,plain,
! [X0,X1] :
( ~ sQ188_spl
| ~ is_a_theorem(not(implies(X0,or(X1,X0)))) ),
inference(component_clause,[status(thm)],[f3069]) ).
fof(f3072,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f3039,f3069,f1459,f644,f630,f452,f341,f463]) ).
fof(f3073,definition,
! [X0,X1] :
( sQ189_spl
<=> ~ is_a_theorem(not(implies(X0,or(X0,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f3074,plain,
! [X0,X1] :
( ~ sQ189_spl
| ~ is_a_theorem(not(implies(X0,or(X0,X1)))) ),
inference(component_clause,[status(thm)],[f3073]) ).
fof(f3076,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f3040,f3073,f1459,f644,f630,f341,f452]) ).
fof(f3087,plain,
( sQ129_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1486]) ).
fof(f3088,plain,
( sQ156_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1487]) ).
fof(f3089,plain,
( sQ126_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1488]) ).
fof(f3090,plain,
( sQ153_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1489]) ).
fof(f3091,plain,
( sQ159_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1490]) ).
fof(f3174,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(implies(X1,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3033,f700]) ).
fof(f3175,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,X1)),X0))) ),
inference(resolution,[status(thm)],[f3033,f1208]) ).
fof(f3176,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f3033,f1152]) ).
fof(f3177,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(implies(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f3033,f1142]) ).
fof(f3178,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3033,f1164]) ).
fof(f3179,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3033,f1148]) ).
fof(f3180,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f3033,f666]) ).
fof(f3181,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(X0,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f3033]) ).
fof(f3183,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(or(X1,not(X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3034,f700]) ).
fof(f3184,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(X1,not(X1)),X0))) ),
inference(resolution,[status(thm)],[f3034,f1208]) ).
fof(f3185,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(X0,not(X0))))) ),
inference(resolution,[status(thm)],[f3034,f1152]) ).
fof(f3186,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(X0,not(X0)),X1)) ),
inference(resolution,[status(thm)],[f3034,f1142]) ).
fof(f3187,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f3034,f1164]) ).
fof(f3188,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f3034,f1148]) ).
fof(f3192,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1116,f3034]) ).
fof(f3193,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1115,f3034]) ).
fof(f3195,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1117,f3034]) ).
fof(f3196,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(possibly(X0)),possibly(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1114,f3034]) ).
fof(f3202,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ49_spl
| is_a_theorem(and(possibly(strict_equiv(sK60_skl,sK61_skl)),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f3013,f2962]) ).
fof(f3203,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3013,f1964]) ).
fof(f3204,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f3013,f1127]) ).
fof(f3205,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(and(X0,X1),X1)),necessarily(implies(and(X0,X1),X1)))) ),
inference(resolution,[status(thm)],[f3013,f1146]) ).
fof(f3206,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(and(X0,X1),X0)),necessarily(implies(and(X0,X1),X0)))) ),
inference(resolution,[status(thm)],[f3013,f1171]) ).
fof(f3207,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1))))) ),
inference(resolution,[status(thm)],[f3013,f1216]) ).
fof(f3208,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))),necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))))) ),
inference(resolution,[status(thm)],[f3013,f1161]) ).
fof(f3209,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1)))),necessarily(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1)))))) ),
inference(resolution,[status(thm)],[f3013,f1205]) ).
fof(f3210,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),necessarily(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))) ),
inference(resolution,[status(thm)],[f3013,f1283]) ).
fof(f3211,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(X0,X1),implies(X1,X0))),necessarily(implies(equiv(X0,X1),implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f3013,f1168]) ).
fof(f3212,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(X0,X1),implies(X0,X1))),necessarily(implies(equiv(X0,X1),implies(X0,X1))))) ),
inference(resolution,[status(thm)],[f3013,f1201]) ).
fof(f3213,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(or(X0,not(X1)),implies(X1,X0))),necessarily(implies(or(X0,not(X1)),implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f3013,f1230]) ).
fof(f3214,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))),necessarily(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))))) ),
inference(resolution,[status(thm)],[f3013,f1158]) ).
fof(f3215,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(necessarily(X0),necessarily(necessarily(X0)))),necessarily(implies(necessarily(X0),necessarily(necessarily(X0)))))) ),
inference(resolution,[status(thm)],[f3013,f1156]) ).
fof(f3216,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(necessarily(X0),X0)),necessarily(implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f3013,f1132]) ).
fof(f3217,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(X0,necessarily(possibly(X0)))),necessarily(implies(X0,necessarily(possibly(X0)))))) ),
inference(resolution,[status(thm)],[f3013,f1153]) ).
fof(f3218,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(X0,or(X0,X1))),necessarily(implies(X0,or(X0,X1))))) ),
inference(resolution,[status(thm)],[f3013,f1143]) ).
fof(f3219,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(X0,or(X1,X0))),necessarily(implies(X0,or(X1,X0))))) ),
inference(resolution,[status(thm)],[f3013,f1165]) ).
fof(f3220,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(X0,implies(X1,and(X0,X1)))),necessarily(implies(X0,implies(X1,and(X0,X1)))))) ),
inference(resolution,[status(thm)],[f3013,f1210]) ).
fof(f3221,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(X0,implies(X1,X0))),necessarily(implies(X0,implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f3013,f1149]) ).
fof(f3222,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(X0,X0)),necessarily(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f3013,f3033]) ).
fof(f3223,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(or(implies(and(X0,X1),X0),X2),or(implies(and(X0,X1),X0),X2))) ),
inference(resolution,[status(thm)],[f3013,f1175]) ).
fof(f3224,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(or(implies(and(X0,X1),X1),X2),or(implies(and(X0,X1),X1),X2))) ),
inference(resolution,[status(thm)],[f3013,f1176]) ).
fof(f3225,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(or(implies(necessarily(X0),X0),X1),or(implies(necessarily(X0),X0),X1))) ),
inference(resolution,[status(thm)],[f3013,f1179]) ).
fof(f3226,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(or(implies(X0,implies(X1,X0)),X2),or(implies(X0,implies(X1,X0)),X2))) ),
inference(resolution,[status(thm)],[f3013,f1181]) ).
fof(f3227,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(or(implies(X0,or(X1,X0)),X2),or(implies(X0,or(X1,X0)),X2))) ),
inference(resolution,[status(thm)],[f3013,f1182]) ).
fof(f3228,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(implies(X0,or(X0,X1)),X2),or(implies(X0,or(X0,X1)),X2))) ),
inference(resolution,[status(thm)],[f3013,f1183]) ).
fof(f3229,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(or(strict_equiv(sK60_skl,sK61_skl),X0),or(strict_equiv(sK60_skl,sK61_skl),X0))) ),
inference(resolution,[status(thm)],[f3013,f1194]) ).
fof(f3230,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f3013,f3034]) ).
fof(f3231,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,strict_equiv(sK60_skl,sK61_skl)),or(X0,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f3013,f1367]) ).
fof(f3232,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X0,or(not(X0),X1)))) ),
inference(resolution,[status(thm)],[f3013,f1144]) ).
fof(f3233,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(X1,not(X0))),or(X0,or(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f3013,f1166]) ).
fof(f3234,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(and(X1,X2),X1)),or(X0,implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f3013,f1344]) ).
fof(f3235,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(and(X1,X2),X2)),or(X0,implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f3013,f1345]) ).
fof(f3236,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(necessarily(X1),X1)),or(X0,implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f3013,f1348]) ).
fof(f3237,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(X1,implies(X2,X1))),or(X0,implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f3013,f1354]) ).
fof(f3238,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(X1,or(X2,X1))),or(X0,implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f3013,f1355]) ).
fof(f3239,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(X1,or(X1,X2))),or(X0,implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f3013,f1356]) ).
fof(f3240,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X0,implies(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f3013,f1150]) ).
fof(f3241,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X0,implies(X1,and(not(X0),X1))))) ),
inference(resolution,[status(thm)],[f3013,f1211]) ).
fof(f3242,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,necessarily(possibly(not(X0)))),or(X0,necessarily(possibly(not(X0)))))) ),
inference(resolution,[status(thm)],[f3013,f1154]) ).
fof(f3243,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f3013,f723]) ).
fof(f3244,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(or(X0,X1)),implies(necessarily(not(X0)),necessarily(X1))),implies(necessarily(or(X0,X1)),implies(necessarily(not(X0)),necessarily(X1))))) ),
inference(resolution,[status(thm)],[f3013,f1159]) ).
fof(f3245,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))) ),
inference(resolution,[status(thm)],[f3013,f734]) ).
fof(f3246,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(necessarily(X0),necessarily(necessarily(X0))))) ),
inference(resolution,[status(thm)],[f3013,f756]) ).
fof(f3247,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(necessarily(X0),X0))) ),
inference(resolution,[status(thm)],[f3013,f745]) ).
fof(f3248,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(and(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f3013,f431]) ).
fof(f3249,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(and(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f3013,f420]) ).
fof(f3250,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1)))),implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1)))))) ),
inference(resolution,[status(thm)],[f3013,f1163]) ).
fof(f3251,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,not(X1)),implies(or(X1,X2),implies(X0,X2))),implies(implies(X0,not(X1)),implies(or(X1,X2),implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f3013,f1285]) ).
fof(f3252,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(implies(X0,implies(X0,X1)),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f3013,f398]) ).
fof(f3253,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(or(X2,X1),implies(or(X0,not(X2)),X1))),implies(implies(X0,X1),implies(or(X2,X1),implies(or(X0,not(X2)),X1))))) ),
inference(resolution,[status(thm)],[f3013,f1207]) ).
fof(f3254,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) ),
inference(resolution,[status(thm)],[f3013,f508]) ).
fof(f3255,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))) ),
inference(resolution,[status(thm)],[f3013,f475]) ).
fof(f3256,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f3013,f409]) ).
fof(f3257,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(not(X0),X1),or(X0,X1)),implies(equiv(not(X0),X1),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f3013,f1202]) ).
fof(f3258,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,not(X1)),or(X1,X0)),implies(equiv(X0,not(X1)),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f3013,f1169]) ).
fof(f3259,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f3013,f497]) ).
fof(f3260,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f3013,f486]) ).
fof(f3261,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,or(X0,X1)),or(X0,X1)),implies(or(X0,or(X0,X1)),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f3013,f1221]) ).
fof(f3262,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,implies(X1,X2)),implies(and(X1,not(X2)),X0)),implies(or(X0,implies(X1,X2)),implies(and(X1,not(X2)),X0)))) ),
inference(resolution,[status(thm)],[f3013,f1231]) ).
fof(f3263,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,possibly(X1)),implies(necessarily(not(X1)),X0)),implies(or(X0,possibly(X1)),implies(necessarily(not(X1)),X0)))) ),
inference(resolution,[status(thm)],[f3013,f1232]) ).
fof(f3264,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(not(X1))),or(X1,X0)),implies(or(X0,not(not(X1))),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f3013,f1233]) ).
fof(f3265,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(or(X0,not(X1)),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f3013,f1044]) ).
fof(f3266,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1))),implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1))))) ),
inference(resolution,[status(thm)],[f3013,f1162]) ).
fof(f3267,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,X1),implies(implies(X2,X1),implies(or(not(X0),X2),X1))),implies(or(X0,X1),implies(implies(X2,X1),implies(or(not(X0),X2),X1))))) ),
inference(resolution,[status(thm)],[f3013,f1206]) ).
fof(f3268,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2))),implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2))))) ),
inference(resolution,[status(thm)],[f3013,f1287]) ).
fof(f3269,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X0,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f3013,f519]) ).
fof(f3270,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,strict_equiv(sK60_skl,sK61_skl)),implies(X0,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f3013,f1264]) ).
fof(f3271,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,and(X0,not(X1)))),implies(X0,or(X1,and(X0,not(X1)))))) ),
inference(resolution,[status(thm)],[f3013,f1212]) ).
fof(f3272,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X0,or(X0,X1)))) ),
inference(resolution,[status(thm)],[f3013,f453]) ).
fof(f3273,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X0,or(X1,X0)))) ),
inference(resolution,[status(thm)],[f3013,f464]) ).
fof(f3274,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(and(X1,X2),X1)),implies(X0,implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f3013,f1244]) ).
fof(f3275,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(and(X1,X2),X2)),implies(X0,implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f3013,f1245]) ).
fof(f3276,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(necessarily(X1),X1)),implies(X0,implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f3013,f1248]) ).
fof(f3277,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,implies(X2,X1))),implies(X0,implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f3013,f1251]) ).
fof(f3278,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,or(X2,X1))),implies(X0,implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f3013,f1252]) ).
fof(f3279,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,or(X1,X2))),implies(X0,implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f3013,f1253]) ).
fof(f3280,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X0,implies(X1,and(X0,X1))))) ),
inference(resolution,[status(thm)],[f3013,f442]) ).
fof(f3281,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X0,implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f3013,f387]) ).
fof(f3282,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X0,necessarily(possibly(X0))))) ),
inference(resolution,[status(thm)],[f3013,f767]) ).
fof(f3283,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f3013,f3002]) ).
fof(f3285,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(forward_demodulation,[status(thm)],[f659,f3283]) ).
fof(f3289,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f3285,f3013]) ).
fof(f3290,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X1,X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3285,f700]) ).
fof(f3291,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(equiv(X1,X1),X0))) ),
inference(resolution,[status(thm)],[f3285,f1208]) ).
fof(f3292,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f3285,f1152]) ).
fof(f3293,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(equiv(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f3285,f1142]) ).
fof(f3294,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f3285,f1164]) ).
fof(f3295,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f3285,f1148]) ).
fof(f3296,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f3285,f666]) ).
fof(f3298,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(equiv(X0,X0)),necessarily(equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f3296,f3013]) ).
fof(f3299,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(equiv(X1,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3296,f700]) ).
fof(f3300,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(necessarily(equiv(X1,X1)),X0))) ),
inference(resolution,[status(thm)],[f3296,f1208]) ).
fof(f3301,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(necessarily(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f3296,f1152]) ).
fof(f3302,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(equiv(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f3296,f1142]) ).
fof(f3303,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,necessarily(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f3296,f1164]) ).
fof(f3304,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,necessarily(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f3296,f1148]) ).
fof(f3305,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(necessarily(equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f3296,f666]) ).
fof(f3307,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(implies(X0,X0),X1),or(implies(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f3030,f3013]) ).
fof(f3308,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(implies(X1,X1),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3030,f700]) ).
fof(f3309,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(implies(X1,X1),X2),X0))) ),
inference(resolution,[status(thm)],[f3030,f1208]) ).
fof(f3310,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(implies(X0,X0),X1)))) ),
inference(resolution,[status(thm)],[f3030,f1152]) ).
fof(f3311,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(implies(X0,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f3030,f1142]) ).
fof(f3312,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f3030,f1164]) ).
fof(f3313,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f3030,f1148]) ).
fof(f3314,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(implies(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f3030,f666]) ).
fof(f3316,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(implies(necessarily(X0),necessarily(and(X0,X0)))) ),
inference(resolution,[status(thm)],[f3020,f1157]) ).
fof(f3318,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| is_a_theorem(and(necessarily(implies(X0,and(X0,X0))),necessarily(implies(X0,and(X0,X0))))) ),
inference(resolution,[status(thm)],[f3020,f3013]) ).
fof(f3319,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(X1,and(X1,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3020,f700]) ).
fof(f3320,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,and(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f3020,f1208]) ).
fof(f3321,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(X0,and(X0,X0)))))) ),
inference(resolution,[status(thm)],[f3020,f1152]) ).
fof(f3322,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(or(necessarily(implies(X0,and(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f3020,f1142]) ).
fof(f3323,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,necessarily(implies(X1,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f3020,f1164]) ).
fof(f3324,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f3020,f1148]) ).
fof(f3325,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(necessarily(implies(X0,and(X0,X0))))) ),
inference(resolution,[status(thm)],[f3020,f666]) ).
fof(f3326,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(or(X0,and(not(X0),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1047,f3020]) ).
fof(f3327,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(implies(implies(X0,X0),equiv(X0,X0)))) ),
inference(paramodulation,[status(thm)],[f659,f3020]) ).
fof(f3328,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,and(not(X0),not(X0))),or(X0,and(not(X0),not(X0))))) ),
inference(resolution,[status(thm)],[f3021,f3013]) ).
fof(f3329,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X1,and(not(X1),not(X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3021,f700]) ).
fof(f3330,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(or(X1,and(not(X1),not(X1))),X0))) ),
inference(resolution,[status(thm)],[f3021,f1208]) ).
fof(f3331,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(or(X0,and(not(X0),not(X0)))))) ),
inference(resolution,[status(thm)],[f3021,f1152]) ).
fof(f3332,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,and(not(X0),not(X0))),X1)) ),
inference(resolution,[status(thm)],[f3021,f1142]) ).
fof(f3333,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,or(X1,and(not(X1),not(X1))))) ),
inference(resolution,[status(thm)],[f3021,f1164]) ).
fof(f3334,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,or(X1,and(not(X1),not(X1))))) ),
inference(resolution,[status(thm)],[f3021,f1148]) ).
fof(f3338,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,possibly(X1)),and(implies(X0,necessarily(not(X1))),not(and(X0,possibly(X1)))))) ),
inference(paramodulation,[status(thm)],[f1116,f3021]) ).
fof(f3339,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),and(implies(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1115,f3021]) ).
fof(f3341,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ49_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),and(possibly(and(X0,not(X1))),not(necessarily(implies(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1117,f3021]) ).
fof(f3342,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(necessarily(possibly(X0)),and(possibly(necessarily(not(X0))),not(necessarily(possibly(X0)))))) ),
inference(paramodulation,[status(thm)],[f1114,f3021]) ).
fof(f3358,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,possibly(X1)),and(implies(X0,necessarily(not(X1))),implies(X0,necessarily(not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f3338]) ).
fof(f3359,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),and(implies(X0,and(X1,not(X2))),implies(X0,and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f3339]) ).
fof(f3362,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ49_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),and(possibly(and(X0,not(X1))),possibly(and(X0,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f3341]) ).
fof(f3363,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(necessarily(possibly(X0)),and(possibly(necessarily(not(X0))),possibly(necessarily(not(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f3342]) ).
fof(f3380,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(X0,X0))) ),
inference(resolution,[status(thm)],[f1122,f3030]) ).
fof(f3404,definition,
! [X0] :
( sQ190_spl
<=> ~ is_a_theorem(not(implies(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f3405,plain,
! [X0] :
( ~ sQ190_spl
| ~ is_a_theorem(not(implies(X0,X0))) ),
inference(component_clause,[status(thm)],[f3404]) ).
fof(f3407,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f3380,f3404,f1459,f644,f630,f397,f386,f452,f341]) ).
fof(f3418,plain,
( sQ162_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1491]) ).
fof(f3419,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ190_spl
| ~ is_a_theorem(not(or(X0,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f3405]) ).
fof(f3420,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(X0,implies(X1,X1)),or(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3031,f3013]) ).
fof(f3421,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(X1,implies(X2,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3031,f700]) ).
fof(f3422,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,X2)),X0))) ),
inference(resolution,[status(thm)],[f3031,f1208]) ).
fof(f3423,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(X0,implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3031,f1152]) ).
fof(f3424,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(X0,implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f3031,f1142]) ).
fof(f3425,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3031,f1164]) ).
fof(f3426,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3031,f1148]) ).
fof(f3427,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3031,f666]) ).
fof(f3432,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f3032,f1280]) ).
fof(f3434,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(implies(X0,X0),X1),equiv(X1,implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f3032,f1160]) ).
fof(f3435,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3032,f342]) ).
fof(f3436,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X1)),implies(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3032,f3013]) ).
fof(f3437,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X1,implies(X2,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3032,f700]) ).
fof(f3438,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,X2)),X0))) ),
inference(resolution,[status(thm)],[f3032,f1208]) ).
fof(f3439,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(implies(X0,implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3032,f1152]) ).
fof(f3440,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(implies(X0,implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f3032,f1142]) ).
fof(f3441,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3032,f1164]) ).
fof(f3442,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3032,f1148]) ).
fof(f3443,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3032,f666]) ).
fof(f3444,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3032]) ).
fof(f3446,definition,
! [X1] :
( sQ191_spl
<=> is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f3447,plain,
! [X0] :
( ~ sQ191_spl
| is_a_theorem(implies(X0,X0)) ),
inference(component_clause,[status(thm)],[f3446]) ).
fof(f3449,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| sQ191_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3435,f1270,f3446,f397,f386,f341]) ).
fof(f3450,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3285,f1271]) ).
fof(f3451,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2962,f1271]) ).
fof(f3452,plain,
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3296,f1271]) ).
fof(f3453,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1964,f1271]) ).
fof(f3454,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1127,f1271]) ).
fof(f3455,plain,
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1146,f1271]) ).
fof(f3456,plain,
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1171,f1271]) ).
fof(f3457,plain,
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1216,f1271]) ).
fof(f3458,plain,
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1161,f1271]) ).
fof(f3459,plain,
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1205,f1271]) ).
fof(f3460,plain,
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1283,f1271]) ).
fof(f3461,plain,
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1168,f1271]) ).
fof(f3462,plain,
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1201,f1271]) ).
fof(f3463,plain,
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1230,f1271]) ).
fof(f3464,plain,
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1158,f1271]) ).
fof(f3465,plain,
( ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1156,f1271]) ).
fof(f3466,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1132,f1271]) ).
fof(f3467,plain,
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3020,f1271]) ).
fof(f3468,plain,
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1153,f1271]) ).
fof(f3469,plain,
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1143,f1271]) ).
fof(f3470,plain,
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1165,f1271]) ).
fof(f3471,plain,
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1210,f1271]) ).
fof(f3472,plain,
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1149,f1271]) ).
fof(f3473,plain,
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3033,f1271]) ).
fof(f3474,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1175,f1271]) ).
fof(f3475,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1176,f1271]) ).
fof(f3476,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1179,f1271]) ).
fof(f3477,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1181,f1271]) ).
fof(f3478,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1182,f1271]) ).
fof(f3479,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1183,f1271]) ).
fof(f3480,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3030,f1271]) ).
fof(f3481,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1194,f1271]) ).
fof(f3482,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3021,f1271]) ).
fof(f3483,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3034,f1271]) ).
fof(f3484,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1367,f1271]) ).
fof(f3485,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1144,f1271]) ).
fof(f3486,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1166,f1271]) ).
fof(f3487,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1344,f1271]) ).
fof(f3488,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1345,f1271]) ).
fof(f3489,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1348,f1271]) ).
fof(f3490,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1354,f1271]) ).
fof(f3491,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1355,f1271]) ).
fof(f3492,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1356,f1271]) ).
fof(f3493,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1150,f1271]) ).
fof(f3494,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1211,f1271]) ).
fof(f3495,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3031,f1271]) ).
fof(f3496,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1154,f1271]) ).
fof(f3497,plain,
( ~ sQ104_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f723,f1271]) ).
fof(f3498,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1159,f1271]) ).
fof(f3499,plain,
( ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f734,f1271]) ).
fof(f3500,plain,
( ~ sQ113_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f756,f1271]) ).
fof(f3501,plain,
( ~ sQ110_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f745,f1271]) ).
fof(f3502,plain,
( ~ sQ25_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f431,f1271]) ).
fof(f3503,plain,
( ~ sQ22_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f420,f1271]) ).
fof(f3504,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1163,f1271]) ).
fof(f3505,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1285,f1271]) ).
fof(f3506,plain,
( ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f398,f1271]) ).
fof(f3507,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1207,f1271]) ).
fof(f3508,plain,
( ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f508,f1271]) ).
fof(f3509,plain,
( ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f475,f1271]) ).
fof(f3510,plain,
( ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f409,f1271]) ).
fof(f3511,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1202,f1271]) ).
fof(f3512,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1169,f1271]) ).
fof(f3513,plain,
( ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f497,f1271]) ).
fof(f3514,plain,
( ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f486,f1271]) ).
fof(f3515,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1221,f1271]) ).
fof(f3516,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1231,f1271]) ).
fof(f3517,plain,
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1232,f1271]) ).
fof(f3518,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1233,f1271]) ).
fof(f3519,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1044,f1271]) ).
fof(f3520,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1162,f1271]) ).
fof(f3521,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1206,f1271]) ).
fof(f3522,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1287,f1271]) ).
fof(f3523,plain,
( ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f519,f1271]) ).
fof(f3524,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1264,f1271]) ).
fof(f3525,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1212,f1271]) ).
fof(f3526,plain,
( ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f453,f1271]) ).
fof(f3527,plain,
( ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f464,f1271]) ).
fof(f3528,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1244,f1271]) ).
fof(f3529,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1245,f1271]) ).
fof(f3530,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1248,f1271]) ).
fof(f3531,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1251,f1271]) ).
fof(f3532,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1252,f1271]) ).
fof(f3533,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1253,f1271]) ).
fof(f3534,plain,
( ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f442,f1271]) ).
fof(f3535,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3032,f1271]) ).
fof(f3536,plain,
( ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f387,f1271]) ).
fof(f3537,plain,
( ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f767,f1271]) ).
fof(f3538,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3002,f1271]) ).
fof(f3539,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3289,f1271]) ).
fof(f3540,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3202,f1271]) ).
fof(f3541,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3298,f1271]) ).
fof(f3542,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3203,f1271]) ).
fof(f3543,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3204,f1271]) ).
fof(f3544,plain,
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3206,f1271]) ).
fof(f3545,plain,
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3205,f1271]) ).
fof(f3546,plain,
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3207,f1271]) ).
fof(f3547,plain,
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3208,f1271]) ).
fof(f3548,plain,
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3209,f1271]) ).
fof(f3549,plain,
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3210,f1271]) ).
fof(f3550,plain,
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3212,f1271]) ).
fof(f3551,plain,
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3211,f1271]) ).
fof(f3552,plain,
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3213,f1271]) ).
fof(f3553,plain,
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3214,f1271]) ).
fof(f3554,plain,
( ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3215,f1271]) ).
fof(f3555,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3216,f1271]) ).
fof(f3556,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3318,f1271]) ).
fof(f3557,plain,
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3217,f1271]) ).
fof(f3558,plain,
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3219,f1271]) ).
fof(f3559,plain,
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3218,f1271]) ).
fof(f3560,plain,
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3220,f1271]) ).
fof(f3561,plain,
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3221,f1271]) ).
fof(f3562,plain,
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3222,f1271]) ).
fof(f3563,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3224,f1271]) ).
fof(f3564,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3223,f1271]) ).
fof(f3565,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3225,f1271]) ).
fof(f3566,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3226,f1271]) ).
fof(f3567,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3228,f1271]) ).
fof(f3568,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3227,f1271]) ).
fof(f3569,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3307,f1271]) ).
fof(f3570,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3229,f1271]) ).
fof(f3571,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3328,f1271]) ).
fof(f3572,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3231,f1271]) ).
fof(f3573,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3232,f1271]) ).
fof(f3574,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3233,f1271]) ).
fof(f3575,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3235,f1271]) ).
fof(f3576,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3234,f1271]) ).
fof(f3577,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3236,f1271]) ).
fof(f3578,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3237,f1271]) ).
fof(f3579,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3239,f1271]) ).
fof(f3580,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3238,f1271]) ).
fof(f3581,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3240,f1271]) ).
fof(f3582,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3241,f1271]) ).
fof(f3583,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3420,f1271]) ).
fof(f3584,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3242,f1271]) ).
fof(f3585,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3261,f1271]) ).
fof(f3586,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3262,f1271]) ).
fof(f3587,plain,
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3263,f1271]) ).
fof(f3588,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3264,f1271]) ).
fof(f3589,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3265,f1271]) ).
fof(f3590,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3266,f1271]) ).
fof(f3591,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3267,f1271]) ).
fof(f3592,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3268,f1271]) ).
fof(f3593,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3257,f1271]) ).
fof(f3594,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3258,f1271]) ).
fof(f3595,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3260,f1271]) ).
fof(f3596,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3259,f1271]) ).
fof(f3597,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3250,f1271]) ).
fof(f3598,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3251,f1271]) ).
fof(f3599,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3252,f1271]) ).
fof(f3600,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3253,f1271]) ).
fof(f3601,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3255,f1271]) ).
fof(f3602,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3256,f1271]) ).
fof(f3603,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3254,f1271]) ).
fof(f3604,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3249,f1271]) ).
fof(f3605,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3248,f1271]) ).
fof(f3606,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3244,f1271]) ).
fof(f3607,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3245,f1271]) ).
fof(f3608,plain,
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3246,f1271]) ).
fof(f3609,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3247,f1271]) ).
fof(f3610,plain,
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3269,f1271]) ).
fof(f3611,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3270,f1271]) ).
fof(f3612,plain,
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3282,f1271]) ).
fof(f3613,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3275,f1271]) ).
fof(f3614,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3274,f1271]) ).
fof(f3615,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3276,f1271]) ).
fof(f3616,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3277,f1271]) ).
fof(f3617,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3279,f1271]) ).
fof(f3618,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3278,f1271]) ).
fof(f3619,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3280,f1271]) ).
fof(f3620,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3436,f1271]) ).
fof(f3621,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3281,f1271]) ).
fof(f3622,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3271,f1271]) ).
fof(f3623,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3273,f1271]) ).
fof(f3624,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3272,f1271]) ).
fof(f3625,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3243,f1271]) ).
fof(f3626,plain,
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3305,f1271]) ).
fof(f3627,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2969,f1271]) ).
fof(f3628,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2016,f1271]) ).
fof(f3629,plain,
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2156,f1271]) ).
fof(f3630,plain,
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2146,f1271]) ).
fof(f3631,plain,
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2066,f1271]) ).
fof(f3632,plain,
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2189,f1271]) ).
fof(f3633,plain,
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2166,f1271]) ).
fof(f3634,plain,
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2177,f1271]) ).
fof(f3635,plain,
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2058,f1271]) ).
fof(f3636,plain,
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2050,f1271]) ).
fof(f3637,plain,
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2034,f1271]) ).
fof(f3638,plain,
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2198,f1271]) ).
fof(f3639,plain,
( ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2215,f1271]) ).
fof(f3640,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2009,f1271]) ).
fof(f3641,plain,
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3325,f1271]) ).
fof(f3642,plain,
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2260,f1271]) ).
fof(f3643,plain,
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2232,f1271]) ).
fof(f3644,plain,
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2222,f1271]) ).
fof(f3645,plain,
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2268,f1271]) ).
fof(f3646,plain,
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2206,f1271]) ).
fof(f3647,plain,
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3180,f1271]) ).
fof(f3648,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3292,f1271]) ).
fof(f3649,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2972,f1271]) ).
fof(f3650,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3301,f1271]) ).
fof(f3651,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ104_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2965,f1271]) ).
fof(f3652,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2011,f1271]) ).
fof(f3653,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2152,f1271]) ).
fof(f3654,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2142,f1271]) ).
fof(f3655,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2061,f1271]) ).
fof(f3656,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2185,f1271]) ).
fof(f3657,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2162,f1271]) ).
fof(f3658,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2173,f1271]) ).
fof(f3659,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2053,f1271]) ).
fof(f3660,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2045,f1271]) ).
fof(f3661,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2029,f1271]) ).
fof(f3662,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2194,f1271]) ).
fof(f3663,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2211,f1271]) ).
fof(f3664,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2004,f1271]) ).
fof(f3665,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3321,f1271]) ).
fof(f3666,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2256,f1271]) ).
fof(f3667,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2228,f1271]) ).
fof(f3668,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2218,f1271]) ).
fof(f3669,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2264,f1271]) ).
fof(f3670,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2202,f1271]) ).
fof(f3671,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3176,f1271]) ).
fof(f3672,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2409,f1271]) ).
fof(f3673,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2393,f1271]) ).
fof(f3674,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2378,f1271]) ).
fof(f3675,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2322,f1271]) ).
fof(f3676,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1976,f1271]) ).
fof(f3677,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2434,f1271]) ).
fof(f3678,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2546,f1271]) ).
fof(f3679,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2487,f1271]) ).
fof(f3680,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2566,f1271]) ).
fof(f3681,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2585,f1271]) ).
fof(f3682,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1975,f1271]) ).
fof(f3683,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1974,f1271]) ).
fof(f3684,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2639,f1271]) ).
fof(f3685,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2604,f1271]) ).
fof(f3686,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1970,f1271]) ).
fof(f3687,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2766,f1271]) ).
fof(f3688,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1972,f1271]) ).
fof(f3689,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1973,f1271]) ).
fof(f3690,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1971,f1271]) ).
fof(f3691,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1969,f1271]) ).
fof(f3692,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1968,f1271]) ).
fof(f3693,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2276,f1271]) ).
fof(f3694,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1965,f1271]) ).
fof(f3695,plain,
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1966,f1271]) ).
fof(f3696,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1967,f1271]) ).
fof(f3697,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3016,f1271]) ).
fof(f3698,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ104_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2238,f1271]) ).
fof(f3699,plain,
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1981,f1271]) ).
fof(f3700,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2681,f1271]) ).
fof(f3701,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2627,f1271]) ).
fof(f3702,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2247,f1271]) ).
fof(f3703,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2717,f1271]) ).
fof(f3704,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2705,f1271]) ).
fof(f3705,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2693,f1271]) ).
fof(f3706,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1979,f1271]) ).
fof(f3707,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3439,f1271]) ).
fof(f3708,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1980,f1271]) ).
fof(f3709,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2944,f1271]) ).
fof(f3710,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1978,f1271]) ).
fof(f3711,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1977,f1271]) ).
fof(f3712,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3029,f1271]) ).
fof(f3713,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2342,f1271]) ).
fof(f3714,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2312,f1271]) ).
fof(f3715,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2077,f1271]) ).
fof(f3716,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2369,f1271]) ).
fof(f3717,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2360,f1271]) ).
fof(f3718,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2351,f1271]) ).
fof(f3719,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3310,f1271]) ).
fof(f3720,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ104_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2018,f1271]) ).
fof(f3721,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3331,f1271]) ).
fof(f3722,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3185,f1271]) ).
fof(f3723,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ104_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2125,f1271]) ).
fof(f3724,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1963,f1271]) ).
fof(f3725,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2502,f1271]) ).
fof(f3726,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2475,f1271]) ).
fof(f3727,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2133,f1271]) ).
fof(f3728,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2535,f1271]) ).
fof(f3729,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2524,f1271]) ).
fof(f3730,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2513,f1271]) ).
fof(f3731,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1962,f1271]) ).
fof(f3732,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1961,f1271]) ).
fof(f3733,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3423,f1271]) ).
fof(f3734,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1960,f1271]) ).
fof(f3735,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1983,f1271]) ).
fof(f3736,plain,
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2346,f1271]) ).
fof(f3737,plain,
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2316,f1271]) ).
fof(f3738,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2082,f1271]) ).
fof(f3739,plain,
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2373,f1271]) ).
fof(f3740,plain,
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2364,f1271]) ).
fof(f3741,plain,
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2355,f1271]) ).
fof(f3742,plain,
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3314,f1271]) ).
fof(f3743,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2023,f1271]) ).
fof(f3744,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3326,f1271]) ).
fof(f3745,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3181,f1271]) ).
fof(f3746,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2129,f1271]) ).
fof(f3747,plain,
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1947,f1271]) ).
fof(f3748,plain,
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1988,f1271]) ).
fof(f3749,plain,
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2506,f1271]) ).
fof(f3750,plain,
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2479,f1271]) ).
fof(f3751,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2137,f1271]) ).
fof(f3752,plain,
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2539,f1271]) ).
fof(f3753,plain,
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2528,f1271]) ).
fof(f3754,plain,
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2517,f1271]) ).
fof(f3755,plain,
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1928,f1271]) ).
fof(f3756,plain,
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1909,f1271]) ).
fof(f3757,plain,
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3427,f1271]) ).
fof(f3758,plain,
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1891,f1271]) ).
fof(f3759,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2235,f1271]) ).
fof(f3760,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2071,f1271]) ).
fof(f3761,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2043,f1271]) ).
fof(f3762,plain,
( ~ sQ164_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2041,f1271]) ).
fof(f3763,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2040,f1271]) ).
fof(f3764,plain,
( ~ sQ164_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2042,f1271]) ).
fof(f3765,plain,
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2038,f1271]) ).
fof(f3766,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2037,f1271]) ).
fof(f3767,plain,
( ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2039,f1271]) ).
fof(f3768,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2190,f1271]) ).
fof(f3769,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2181,f1271]) ).
fof(f3770,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2167,f1271]) ).
fof(f3771,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2234,f1271]) ).
fof(f3772,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2199,f1271]) ).
fof(f3773,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2170,f1271]) ).
fof(f3774,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2169,f1271]) ).
fof(f3775,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2036,f1271]) ).
fof(f3776,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2035,f1271]) ).
fof(f3777,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2191,f1271]) ).
fof(f3778,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2179,f1271]) ).
fof(f3779,plain,
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3327,f1271]) ).
fof(f3780,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2168,f1271]) ).
fof(f3781,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2051,f1271]) ).
fof(f3782,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2059,f1271]) ).
fof(f3783,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2270,f1271]) ).
fof(f3784,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2242,f1271]) ).
fof(f3785,plain,
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2685,f1271]) ).
fof(f3786,plain,
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2631,f1271]) ).
fof(f3787,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2251,f1271]) ).
fof(f3788,plain,
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2721,f1271]) ).
fof(f3789,plain,
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2709,f1271]) ).
fof(f3790,plain,
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2697,f1271]) ).
fof(f3791,plain,
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3443,f1271]) ).
fof(f3792,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3293,f1271]) ).
fof(f3793,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2973,f1271]) ).
fof(f3794,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3302,f1271]) ).
fof(f3795,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2013,f1271]) ).
fof(f3796,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2966,f1271]) ).
fof(f3797,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3363,f1271]) ).
fof(f3798,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3196,f1271]) ).
fof(f3799,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1954,f1271]) ).
fof(f3800,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1997,f1271]) ).
fof(f3801,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1936,f1271]) ).
fof(f3802,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1917,f1271]) ).
fof(f3803,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1898,f1271]) ).
fof(f3804,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2153,f1271]) ).
fof(f3805,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2143,f1271]) ).
fof(f3806,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2063,f1271]) ).
fof(f3807,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2186,f1271]) ).
fof(f3808,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2163,f1271]) ).
fof(f3809,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2174,f1271]) ).
fof(f3810,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2055,f1271]) ).
fof(f3811,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2047,f1271]) ).
fof(f3812,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2031,f1271]) ).
fof(f3813,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2195,f1271]) ).
fof(f3814,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2212,f1271]) ).
fof(f3815,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2006,f1271]) ).
fof(f3816,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3322,f1271]) ).
fof(f3817,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2257,f1271]) ).
fof(f3818,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2229,f1271]) ).
fof(f3819,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2219,f1271]) ).
fof(f3820,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2265,f1271]) ).
fof(f3821,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2203,f1271]) ).
fof(f3822,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3362,f1271]) ).
fof(f3823,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3195,f1271]) ).
fof(f3824,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1953,f1271]) ).
fof(f3825,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1996,f1271]) ).
fof(f3826,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1935,f1271]) ).
fof(f3827,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1916,f1271]) ).
fof(f3828,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1897,f1271]) ).
fof(f3829,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3177,f1271]) ).
fof(f3830,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3359,f1271]) ).
fof(f3831,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1951,f1271]) ).
fof(f3832,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1994,f1271]) ).
fof(f3833,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1933,f1271]) ).
fof(f3834,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1914,f1271]) ).
fof(f3835,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3193,f1271]) ).
fof(f3836,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1895,f1271]) ).
fof(f3837,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3358,f1271]) ).
fof(f3838,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1950,f1271]) ).
fof(f3839,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1993,f1271]) ).
fof(f3840,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3192,f1271]) ).
fof(f3841,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1932,f1271]) ).
fof(f3842,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1913,f1271]) ).
fof(f3843,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1894,f1271]) ).
fof(f3844,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ22_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2343,f1271]) ).
fof(f3845,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ25_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2313,f1271]) ).
fof(f3846,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2079,f1271]) ).
fof(f3847,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2370,f1271]) ).
fof(f3848,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2361,f1271]) ).
fof(f3849,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2352,f1271]) ).
fof(f3850,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3311,f1271]) ).
fof(f3851,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2020,f1271]) ).
fof(f3852,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3332,f1271]) ).
fof(f3853,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3186,f1271]) ).
fof(f3854,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2126,f1271]) ).
fof(f3855,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1944,f1271]) ).
fof(f3856,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1985,f1271]) ).
fof(f3857,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2503,f1271]) ).
fof(f3858,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2476,f1271]) ).
fof(f3859,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2134,f1271]) ).
fof(f3860,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2536,f1271]) ).
fof(f3861,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2525,f1271]) ).
fof(f3862,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2514,f1271]) ).
fof(f3863,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1925,f1271]) ).
fof(f3864,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1906,f1271]) ).
fof(f3865,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3424,f1271]) ).
fof(f3866,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1888,f1271]) ).
fof(f3867,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2358,f1271]) ).
fof(f3868,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2347,f1271]) ).
fof(f3869,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2318,f1271]) ).
fof(f3870,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1173,f1271]) ).
fof(f3871,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1200,f1271]) ).
fof(f3872,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2640,f1271]) ).
fof(f3873,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2605,f1271]) ).
fof(f3874,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1215,f1271]) ).
fof(f3875,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2767,f1271]) ).
fof(f3876,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1174,f1271]) ).
fof(f3877,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1204,f1271]) ).
fof(f3878,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1282,f1271]) ).
fof(f3879,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2357,f1271]) ).
fof(f3880,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2277,f1271]) ).
fof(f3881,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1177,f1271]) ).
fof(f3882,plain,
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1178,f1271]) ).
fof(f3883,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2410,f1271]) ).
fof(f3884,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2394,f1271]) ).
fof(f3885,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2379,f1271]) ).
fof(f3886,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2323,f1271]) ).
fof(f3887,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1229,f1271]) ).
fof(f3888,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2435,f1271]) ).
fof(f3889,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2547,f1271]) ).
fof(f3890,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2488,f1271]) ).
fof(f3891,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3017,f1271]) ).
fof(f3892,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2945,f1271]) ).
fof(f3893,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2239,f1271]) ).
fof(f3894,plain,
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1180,f1271]) ).
fof(f3895,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2682,f1271]) ).
fof(f3896,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2628,f1271]) ).
fof(f3897,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2248,f1271]) ).
fof(f3898,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2718,f1271]) ).
fof(f3899,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2706,f1271]) ).
fof(f3900,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2694,f1271]) ).
fof(f3901,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1209,f1271]) ).
fof(f3902,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3440,f1271]) ).
fof(f3903,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3294,f1271]) ).
fof(f3904,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2974,f1271]) ).
fof(f3905,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3303,f1271]) ).
fof(f3906,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2967,f1271]) ).
fof(f3907,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2014,f1271]) ).
fof(f3908,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2154,f1271]) ).
fof(f3909,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2144,f1271]) ).
fof(f3910,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2064,f1271]) ).
fof(f3911,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2187,f1271]) ).
fof(f3912,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2164,f1271]) ).
fof(f3913,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2175,f1271]) ).
fof(f3914,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2056,f1271]) ).
fof(f3915,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2048,f1271]) ).
fof(f3916,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2032,f1271]) ).
fof(f3917,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2196,f1271]) ).
fof(f3918,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2213,f1271]) ).
fof(f3919,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2007,f1271]) ).
fof(f3920,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3323,f1271]) ).
fof(f3921,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2258,f1271]) ).
fof(f3922,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2230,f1271]) ).
fof(f3923,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2220,f1271]) ).
fof(f3924,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2266,f1271]) ).
fof(f3925,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2204,f1271]) ).
fof(f3926,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3178,f1271]) ).
fof(f3927,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2344,f1271]) ).
fof(f3928,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2314,f1271]) ).
fof(f3929,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2080,f1271]) ).
fof(f3930,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2371,f1271]) ).
fof(f3931,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2362,f1271]) ).
fof(f3932,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2353,f1271]) ).
fof(f3933,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3312,f1271]) ).
fof(f3934,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2021,f1271]) ).
fof(f3935,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3187,f1271]) ).
fof(f3936,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2127,f1271]) ).
fof(f3937,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1945,f1271]) ).
fof(f3938,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1986,f1271]) ).
fof(f3939,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3333,f1271]) ).
fof(f3940,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1912,f1271]) ).
fof(f3941,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ22_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2504,f1271]) ).
fof(f3942,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ25_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2477,f1271]) ).
fof(f3943,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2135,f1271]) ).
fof(f3944,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2537,f1271]) ).
fof(f3945,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2526,f1271]) ).
fof(f3946,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2515,f1271]) ).
fof(f3947,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1926,f1271]) ).
fof(f3948,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1907,f1271]) ).
fof(f3949,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3425,f1271]) ).
fof(f3950,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1889,f1271]) ).
fof(f3951,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2522,f1271]) ).
fof(f3952,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2411,f1271]) ).
fof(f3953,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2395,f1271]) ).
fof(f3954,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2380,f1271]) ).
fof(f3955,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2324,f1271]) ).
fof(f3956,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1337,f1271]) ).
fof(f3957,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2436,f1271]) ).
fof(f3958,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2548,f1271]) ).
fof(f3959,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2489,f1271]) ).
fof(f3960,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2509,f1271]) ).
fof(f3961,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2483,f1271]) ).
fof(f3962,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1338,f1271]) ).
fof(f3963,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1339,f1271]) ).
fof(f3964,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2641,f1271]) ).
fof(f3965,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2606,f1271]) ).
fof(f3966,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1340,f1271]) ).
fof(f3967,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2768,f1271]) ).
fof(f3968,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1341,f1271]) ).
fof(f3969,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1342,f1271]) ).
fof(f3970,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1343,f1271]) ).
fof(f3971,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2521,f1271]) ).
fof(f3972,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2278,f1271]) ).
fof(f3973,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1346,f1271]) ).
fof(f3974,plain,
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1347,f1271]) ).
fof(f3975,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3018,f1271]) ).
fof(f3976,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2946,f1271]) ).
fof(f3977,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2240,f1271]) ).
fof(f3978,plain,
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1352,f1271]) ).
fof(f3979,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2683,f1271]) ).
fof(f3980,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2629,f1271]) ).
fof(f3981,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2249,f1271]) ).
fof(f3982,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2719,f1271]) ).
fof(f3983,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2707,f1271]) ).
fof(f3984,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2695,f1271]) ).
fof(f3985,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1353,f1271]) ).
fof(f3986,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3441,f1271]) ).
fof(f3987,plain,
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2302,f1271]) ).
fof(f3988,plain,
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2300,f1271]) ).
fof(f3989,plain,
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2299,f1271]) ).
fof(f3990,plain,
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2295,f1271]) ).
fof(f3991,plain,
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2297,f1271]) ).
fof(f3992,plain,
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2298,f1271]) ).
fof(f3993,plain,
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2296,f1271]) ).
fof(f3994,plain,
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2294,f1271]) ).
fof(f3995,plain,
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2293,f1271]) ).
fof(f3996,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2287,f1271]) ).
fof(f3997,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2286,f1271]) ).
fof(f3998,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2284,f1271]) ).
fof(f3999,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2283,f1271]) ).
fof(f4000,plain,
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2301,f1271]) ).
fof(f4001,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1393,f1271]) ).
fof(f4002,plain,
( ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3316,f1271]) ).
fof(f4003,plain,
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2308,f1271]) ).
fof(f4004,plain,
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2309,f1271]) ).
fof(f4005,plain,
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2307,f1271]) ).
fof(f4006,plain,
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2306,f1271]) ).
fof(f4007,plain,
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2305,f1271]) ).
fof(f4008,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1380,f1271]) ).
fof(f4009,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2849,f1271]) ).
fof(f4010,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2750,f1271]) ).
fof(f4011,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2940,f1271]) ).
fof(f4012,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2938,f1271]) ).
fof(f4013,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2745,f1271]) ).
fof(f4014,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2742,f1271]) ).
fof(f4015,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2738,f1271]) ).
fof(f4016,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2739,f1271]) ).
fof(f4017,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2844,f1271]) ).
fof(f4018,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2841,f1271]) ).
fof(f4019,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2837,f1271]) ).
fof(f4020,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2838,f1271]) ).
fof(f4021,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2851,f1271]) ).
fof(f4022,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2850,f1271]) ).
fof(f4023,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2752,f1271]) ).
fof(f4024,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2751,f1271]) ).
fof(f4025,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2743,f1271]) ).
fof(f4026,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2842,f1271]) ).
fof(f4027,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2853,f1271]) ).
fof(f4028,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2852,f1271]) ).
fof(f4029,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2754,f1271]) ).
fof(f4030,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2753,f1271]) ).
fof(f4031,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2747,f1271]) ).
fof(f4032,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2846,f1271]) ).
fof(f4033,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2749,f1271]) ).
fof(f4034,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2848,f1271]) ).
fof(f4035,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2748,f1271]) ).
fof(f4036,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2847,f1271]) ).
fof(f4037,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2736,f1271]) ).
fof(f4038,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2835,f1271]) ).
fof(f4039,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2737,f1271]) ).
fof(f4040,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2836,f1271]) ).
fof(f4041,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2735,f1271]) ).
fof(f4042,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2834,f1271]) ).
fof(f4043,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2763,f1271]) ).
fof(f4044,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2833,f1271]) ).
fof(f4045,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2733,f1271]) ).
fof(f4046,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2831,f1271]) ).
fof(f4047,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2732,f1271]) ).
fof(f4048,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2830,f1271]) ).
fof(f4049,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2726,f1271]) ).
fof(f4050,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2824,f1271]) ).
fof(f4051,plain,
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2744,f1271]) ).
fof(f4052,plain,
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2843,f1271]) ).
fof(f4053,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2727,f1271]) ).
fof(f4054,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2825,f1271]) ).
fof(f4055,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2854,f1271]) ).
fof(f4056,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2755,f1271]) ).
fof(f4057,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2858,f1271]) ).
fof(f4058,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2759,f1271]) ).
fof(f4059,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2857,f1271]) ).
fof(f4060,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2856,f1271]) ).
fof(f4061,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2758,f1271]) ).
fof(f4062,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2757,f1271]) ).
fof(f4063,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2855,f1271]) ).
fof(f4064,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2756,f1271]) ).
fof(f4065,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2746,f1271]) ).
fof(f4066,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2741,f1271]) ).
fof(f4067,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2740,f1271]) ).
fof(f4068,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2734,f1271]) ).
fof(f4069,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2399,f1271]) ).
fof(f4070,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2384,f1271]) ).
fof(f4071,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2328,f1271]) ).
fof(f4072,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1377,f1271]) ).
fof(f4073,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2845,f1271]) ).
fof(f4074,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2840,f1271]) ).
fof(f4075,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2839,f1271]) ).
fof(f4076,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2832,f1271]) ).
fof(f4077,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3432,f1271]) ).
fof(f4078,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2859,f1271]) ).
fof(f4079,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3434,f1271]) ).
fof(f4080,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2760,f1271]) ).
fof(f4081,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2775,f1271]) ).
fof(f4082,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1378,f1271]) ).
fof(f4083,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3012,f1271]) ).
fof(f4084,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3010,f1271]) ).
fof(f4085,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2398,f1271]) ).
fof(f4086,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2383,f1271]) ).
fof(f4087,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2327,f1271]) ).
fof(f4088,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1390,f1271]) ).
fof(f4089,plain,
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2860,f1271]) ).
fof(f4090,plain,
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2761,f1271]) ).
fof(f4091,plain,
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2728,f1271]) ).
fof(f4092,plain,
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2826,f1271]) ).
fof(f4093,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2774,f1271]) ).
fof(f4094,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1391,f1271]) ).
fof(f4095,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2939,f1271]) ).
fof(f4096,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2806,f1271]) ).
fof(f4097,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2803,f1271]) ).
fof(f4098,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2799,f1271]) ).
fof(f4099,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2800,f1271]) ).
fof(f4100,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2813,f1271]) ).
fof(f4101,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2812,f1271]) ).
fof(f4102,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3011,f1271]) ).
fof(f4103,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2731,f1271]) ).
fof(f4104,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2730,f1271]) ).
fof(f4105,plain,
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2822,f1271]) ).
fof(f4106,plain,
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2788,f1271]) ).
fof(f4107,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2729,f1271]) ).
fof(f4108,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2664,f1271]) ).
fof(f4109,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2614,f1271]) ).
fof(f4110,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2663,f1271]) ).
fof(f4111,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2613,f1271]) ).
fof(f4112,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2804,f1271]) ).
fof(f4113,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2808,f1271]) ).
fof(f4114,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2810,f1271]) ).
fof(f4115,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2809,f1271]) ).
fof(f4116,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2797,f1271]) ).
fof(f4117,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2798,f1271]) ).
fof(f4118,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2796,f1271]) ).
fof(f4119,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2795,f1271]) ).
fof(f4120,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2793,f1271]) ).
fof(f4121,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2792,f1271]) ).
fof(f4122,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2786,f1271]) ).
fof(f4123,plain,
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2805,f1271]) ).
fof(f4124,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2787,f1271]) ).
fof(f4125,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2660,f1271]) ).
fof(f4126,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2611,f1271]) ).
fof(f4127,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2820,f1271]) ).
fof(f4128,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2659,f1271]) ).
fof(f4129,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2610,f1271]) ).
fof(f4130,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2807,f1271]) ).
fof(f4131,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2802,f1271]) ).
fof(f4132,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2801,f1271]) ).
fof(f4133,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2794,f1271]) ).
fof(f4134,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2821,f1271]) ).
fof(f4135,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2829,f1271]) ).
fof(f4136,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2828,f1271]) ).
fof(f4137,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2827,f1271]) ).
fof(f4138,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2780,f1271]) ).
fof(f4139,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2779,f1271]) ).
fof(f4140,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2789,f1271]) ).
fof(f4141,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2777,f1271]) ).
fof(f4142,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2776,f1271]) ).
fof(f4143,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2791,f1271]) ).
fof(f4144,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2790,f1271]) ).
fof(f4145,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3024,f1271]) ).
fof(f4146,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2993,f1271]) ).
fof(f4147,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2575,f1271]) ).
fof(f4148,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2574,f1271]) ).
fof(f4149,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2572,f1271]) ).
fof(f4150,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2571,f1271]) ).
fof(f4151,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2594,f1271]) ).
fof(f4152,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2593,f1271]) ).
fof(f4153,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2591,f1271]) ).
fof(f4154,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2590,f1271]) ).
fof(f4155,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2463,f1271]) ).
fof(f4156,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2558,f1271]) ).
fof(f4157,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2462,f1271]) ).
fof(f4158,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2557,f1271]) ).
fof(f4159,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2459,f1271]) ).
fof(f4160,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2555,f1271]) ).
fof(f4161,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2458,f1271]) ).
fof(f4162,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2554,f1271]) ).
fof(f4163,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2333,f1271]) ).
fof(f4164,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2332,f1271]) ).
fof(f4165,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2330,f1271]) ).
fof(f4166,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2329,f1271]) ).
fof(f4167,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2441,f1271]) ).
fof(f4168,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2494,f1271]) ).
fof(f4169,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2400,f1271]) ).
fof(f4170,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2402,f1271]) ).
fof(f4171,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2401,f1271]) ).
fof(f4172,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1297,f1271]) ).
fof(f4173,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2405,f1271]) ).
fof(f4174,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2404,f1271]) ).
fof(f4175,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1303,f1271]) ).
fof(f4176,plain,
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2389,f1271]) ).
fof(f4177,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2388,f1271]) ).
fof(f4178,plain,
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1289,f1271]) ).
fof(f4179,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2386,f1271]) ).
fof(f4180,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2385,f1271]) ).
fof(f4181,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1316,f1271]) ).
fof(f4182,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2553,f1271]) ).
fof(f4183,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3295,f1271]) ).
fof(f4184,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2975,f1271]) ).
fof(f4185,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3291,f1271]) ).
fof(f4186,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2970,f1271]) ).
fof(f4187,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2921,f1271]) ).
fof(f4188,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2922,f1271]) ).
fof(f4189,plain,
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2920,f1271]) ).
fof(f4190,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2919,f1271]) ).
fof(f4191,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2918,f1271]) ).
fof(f4192,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2923,f1271]) ).
fof(f4193,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2925,f1271]) ).
fof(f4194,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2924,f1271]) ).
fof(f4195,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2914,f1271]) ).
fof(f4196,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2915,f1271]) ).
fof(f4197,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2917,f1271]) ).
fof(f4198,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2916,f1271]) ).
fof(f4199,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2909,f1271]) ).
fof(f4200,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2908,f1271]) ).
fof(f4201,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2907,f1271]) ).
fof(f4202,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2912,f1271]) ).
fof(f4203,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2913,f1271]) ).
fof(f4204,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2911,f1271]) ).
fof(f4205,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2910,f1271]) ).
fof(f4206,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2906,f1271]) ).
fof(f4207,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2905,f1271]) ).
fof(f4208,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2902,f1271]) ).
fof(f4209,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2901,f1271]) ).
fof(f4210,plain,
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2903,f1271]) ).
fof(f4211,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2904,f1271]) ).
fof(f4212,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3014,f1271]) ).
fof(f4213,plain,
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2937,f1271]) ).
fof(f4214,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2931,f1271]) ).
fof(f4215,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2930,f1271]) ).
fof(f4216,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2929,f1271]) ).
fof(f4217,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2935,f1271]) ).
fof(f4218,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2934,f1271]) ).
fof(f4219,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2933,f1271]) ).
fof(f4220,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2932,f1271]) ).
fof(f4221,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3438,f1271]) ).
fof(f4222,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2936,f1271]) ).
fof(f4223,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2942,f1271]) ).
fof(f4224,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2928,f1271]) ).
fof(f4225,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2927,f1271]) ).
fof(f4226,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2926,f1271]) ).
fof(f4227,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3027,f1271]) ).
fof(f4228,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2900,f1271]) ).
fof(f4229,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2887,f1271]) ).
fof(f4230,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2883,f1271]) ).
fof(f4231,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2882,f1271]) ).
fof(f4232,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2881,f1271]) ).
fof(f4233,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2886,f1271]) ).
fof(f4234,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2885,f1271]) ).
fof(f4235,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2884,f1271]) ).
fof(f4236,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3309,f1271]) ).
fof(f4237,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3330,f1271]) ).
fof(f4238,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3184,f1271]) ).
fof(f4239,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2899,f1271]) ).
fof(f4240,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2893,f1271]) ).
fof(f4241,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2892,f1271]) ).
fof(f4242,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2891,f1271]) ).
fof(f4243,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2898,f1271]) ).
fof(f4244,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2897,f1271]) ).
fof(f4245,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2896,f1271]) ).
fof(f4246,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2895,f1271]) ).
fof(f4247,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2894,f1271]) ).
fof(f4248,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3422,f1271]) ).
fof(f4249,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2889,f1271]) ).
fof(f4250,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2890,f1271]) ).
fof(f4251,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2888,f1271]) ).
fof(f4252,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3300,f1271]) ).
fof(f4253,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2963,f1271]) ).
fof(f4254,plain,
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2873,f1271]) ).
fof(f4255,plain,
( ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2874,f1271]) ).
fof(f4256,plain,
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2875,f1271]) ).
fof(f4257,plain,
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2872,f1271]) ).
fof(f4258,plain,
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2871,f1271]) ).
fof(f4259,plain,
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2870,f1271]) ).
fof(f4260,plain,
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2866,f1271]) ).
fof(f4261,plain,
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2868,f1271]) ).
fof(f4262,plain,
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2869,f1271]) ).
fof(f4263,plain,
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2867,f1271]) ).
fof(f4264,plain,
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2865,f1271]) ).
fof(f4265,plain,
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2864,f1271]) ).
fof(f4266,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3320,f1271]) ).
fof(f4267,plain,
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2879,f1271]) ).
fof(f4268,plain,
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2880,f1271]) ).
fof(f4269,plain,
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2878,f1271]) ).
fof(f4270,plain,
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2877,f1271]) ).
fof(f4271,plain,
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2876,f1271]) ).
fof(f4272,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3175,f1271]) ).
fof(f4273,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2863,f1271]) ).
fof(f4274,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3304,f1271]) ).
fof(f4275,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2968,f1271]) ).
fof(f4276,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2015,f1271]) ).
fof(f4277,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2155,f1271]) ).
fof(f4278,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2145,f1271]) ).
fof(f4279,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2065,f1271]) ).
fof(f4280,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2188,f1271]) ).
fof(f4281,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2165,f1271]) ).
fof(f4282,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2176,f1271]) ).
fof(f4283,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2057,f1271]) ).
fof(f4284,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2049,f1271]) ).
fof(f4285,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2033,f1271]) ).
fof(f4286,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2197,f1271]) ).
fof(f4287,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2214,f1271]) ).
fof(f4288,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2008,f1271]) ).
fof(f4289,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3324,f1271]) ).
fof(f4290,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2259,f1271]) ).
fof(f4291,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2231,f1271]) ).
fof(f4292,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2221,f1271]) ).
fof(f4293,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2267,f1271]) ).
fof(f4294,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2205,f1271]) ).
fof(f4295,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3179,f1271]) ).
fof(f4296,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2956,f1271]) ).
fof(f4297,plain,
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2955,f1271]) ).
fof(f4298,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2953,f1271]) ).
fof(f4299,plain,
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2952,f1271]) ).
fof(f4300,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2345,f1271]) ).
fof(f4301,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2315,f1271]) ).
fof(f4302,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2081,f1271]) ).
fof(f4303,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2372,f1271]) ).
fof(f4304,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2363,f1271]) ).
fof(f4305,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2354,f1271]) ).
fof(f4306,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3313,f1271]) ).
fof(f4307,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2022,f1271]) ).
fof(f4308,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3334,f1271]) ).
fof(f4309,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3188,f1271]) ).
fof(f4310,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2128,f1271]) ).
fof(f4311,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1946,f1271]) ).
fof(f4312,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1987,f1271]) ).
fof(f4313,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2505,f1271]) ).
fof(f4314,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2478,f1271]) ).
fof(f4315,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2136,f1271]) ).
fof(f4316,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2538,f1271]) ).
fof(f4317,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2527,f1271]) ).
fof(f4318,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2516,f1271]) ).
fof(f4319,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1927,f1271]) ).
fof(f4320,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1908,f1271]) ).
fof(f4321,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3426,f1271]) ).
fof(f4322,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1890,f1271]) ).
fof(f4323,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2701,f1271]) ).
fof(f4324,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2412,f1271]) ).
fof(f4325,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2396,f1271]) ).
fof(f4326,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2381,f1271]) ).
fof(f4327,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2325,f1271]) ).
fof(f4328,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1238,f1271]) ).
fof(f4329,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2437,f1271]) ).
fof(f4330,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2549,f1271]) ).
fof(f4331,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2490,f1271]) ).
fof(f4332,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2569,f1271]) ).
fof(f4333,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2588,f1271]) ).
fof(f4334,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1239,f1271]) ).
fof(f4335,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1240,f1271]) ).
fof(f4336,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2642,f1271]) ).
fof(f4337,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2607,f1271]) ).
fof(f4338,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1241,f1271]) ).
fof(f4339,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2769,f1271]) ).
fof(f4340,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1242,f1271]) ).
fof(f4341,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1281,f1271]) ).
fof(f4342,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1243,f1271]) ).
fof(f4343,plain,
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2700,f1271]) ).
fof(f4344,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2279,f1271]) ).
fof(f4345,plain,
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1246,f1271]) ).
fof(f4346,plain,
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1247,f1271]) ).
fof(f4347,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3019,f1271]) ).
fof(f4348,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2947,f1271]) ).
fof(f4349,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2241,f1271]) ).
fof(f4350,plain,
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1249,f1271]) ).
fof(f4351,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2684,f1271]) ).
fof(f4352,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2630,f1271]) ).
fof(f4353,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2250,f1271]) ).
fof(f4354,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2720,f1271]) ).
fof(f4355,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2708,f1271]) ).
fof(f4356,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2696,f1271]) ).
fof(f4357,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1250,f1271]) ).
fof(f4358,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ171_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3442,f1271]) ).
fof(f4359,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f3450]) ).
fof(f4362,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ191_spl
| is_a_theorem(and(implies(X1,X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3447,f700]) ).
fof(f4363,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(paramodulation,[status(thm)],[f1047,f3447]) ).
fof(f4368,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ89_spl
| is_a_theorem(necessarily(implies(X0,X0))) ),
inference(resolution,[status(thm)],[f666,f3447]) ).
fof(f4372,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f3033,f1131]) ).
fof(f4378,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),not(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1119,f3034]) ).
fof(f4379,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),not(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1118,f3034]) ).
fof(f4382,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,not(X1)),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f645,f3034]) ).
fof(f4385,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(not(X0)),possibly(X0))) ),
inference(paramodulation,[status(thm)],[f943,f3034]) ).
fof(f4386,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),possibly(X0))) ),
inference(forward_demodulation,[status(thm)],[f943,f4378]) ).
fof(f4387,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f645,f4379]) ).
fof(f4388,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f1118,f4382]) ).
fof(f4389,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),possibly(X0))) ),
inference(forward_demodulation,[status(thm)],[f1119,f4385]) ).
fof(f4395,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f1121,f1145]) ).
fof(f4397,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1145]) ).
fof(f4399,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(X1)))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f1120,f1170]) ).
fof(f4400,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1170]) ).
fof(f4402,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f3013,f3034]) ).
fof(f4407,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f3013,f3447]) ).
fof(f4409,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(forward_demodulation,[status(thm)],[f659,f4407]) ).
fof(f4416,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f1142,f3447]) ).
fof(f4423,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f1164,f3447]) ).
fof(f4430,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f1148,f3447]) ).
fof(f4454,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)],[f1121,f431]) ).
fof(f4455,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)],[f1120,f431]) ).
fof(f4456,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f659,f431]) ).
fof(f4464,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)],[f1121,f420]) ).
fof(f4465,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)],[f1120,f420]) ).
fof(f4466,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f659,f420]) ).
fof(f4475,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f659,f519]) ).
fof(f4494,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(X1),X0))) ),
inference(paramodulation,[status(thm)],[f1119,f464]) ).
fof(f4495,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f1118,f464]) ).
fof(f4504,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ113_spl
| is_a_theorem(necessarily(necessarily(X0)))
| ~ is_a_theorem(necessarily(X0)) ),
inference(resolution,[status(thm)],[f756,f342]) ).
fof(f4534,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3032]) ).
fof(f4554,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1047,f387]) ).
fof(f4555,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f3293,f1148]) ).
fof(f4556,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f3293,f1164]) ).
fof(f4557,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(equiv(X0,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f3293,f1142]) ).
fof(f4558,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(or(equiv(X0,X0),X1),or(equiv(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f3293,f3013]) ).
fof(f4559,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(equiv(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f3293,f666]) ).
fof(f4560,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(or(equiv(X1,X1),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3293,f700]) ).
fof(f4561,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,or(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f3294,f1148]) ).
fof(f4562,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,or(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f3294,f1164]) ).
fof(f4563,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(X0,equiv(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f3294,f1142]) ).
fof(f4564,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(or(X0,equiv(X1,X1)),or(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f3294,f3013]) ).
fof(f4565,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f3294,f666]) ).
fof(f4566,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(or(X1,equiv(X2,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3294,f700]) ).
fof(f4569,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(equiv(X1,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3295,f342]) ).
fof(f4570,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f3295,f1148]) ).
fof(f4571,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f3295,f1164]) ).
fof(f4572,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(implies(X0,equiv(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f3295,f1142]) ).
fof(f4573,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,equiv(X1,X1)),implies(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f3295,f3013]) ).
fof(f4574,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(implies(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f3295,f666]) ).
fof(f4575,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X1,equiv(X2,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3295,f700]) ).
fof(f4576,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3295]) ).
fof(f4577,definition,
! [X1] :
( sQ192_spl
<=> is_a_theorem(equiv(X1,X1)) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f4578,plain,
! [X0] :
( ~ sQ192_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(component_clause,[status(thm)],[f4577]) ).
fof(f4580,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ192_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4569,f1270,f4577,f658,f518,f397,f386,f341]) ).
fof(f4621,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(or(equiv(X0,X0),X1)))) ),
inference(resolution,[status(thm)],[f1152,f3293]) ).
fof(f4623,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(or(X0,equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f1152,f3294]) ).
fof(f4640,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(X0,equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f1152,f3295]) ).
fof(f4646,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f1152,f3447]) ).
fof(f4666,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ190_spl
| ~ is_a_theorem(not(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1116,f3419]) ).
fof(f4667,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ190_spl
| ~ is_a_theorem(not(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1115,f3419]) ).
fof(f4669,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ190_spl
| ~ is_a_theorem(not(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1117,f3419]) ).
fof(f4670,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ190_spl
| ~ is_a_theorem(not(or(necessarily(possibly(X0)),possibly(necessarily(not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1114,f3419]) ).
fof(f4693,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)],[f1121,f442]) ).
fof(f4694,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)],[f1120,f442]) ).
fof(f4695,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)],[f659,f442]) ).
fof(f4707,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ10_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1228,f3034]) ).
fof(f4716,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ43_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1167,f3285]) ).
fof(f4725,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1199,f3285]) ).
fof(f4735,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(necessarily(necessarily(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f3305,f1152]) ).
fof(f4736,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,necessarily(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3305,f1148]) ).
fof(f4737,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,necessarily(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3305,f1164]) ).
fof(f4738,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(necessarily(equiv(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f3305,f1142]) ).
fof(f4739,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(necessarily(equiv(X0,X0))),necessarily(necessarily(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f3305,f3013]) ).
fof(f4740,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(necessarily(necessarily(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f3305,f666]) ).
fof(f4741,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(necessarily(equiv(X1,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3305,f700]) ).
fof(f4743,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(necessarily(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f3180,f1152]) ).
fof(f4744,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3180,f1148]) ).
fof(f4745,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3180,f1164]) ).
fof(f4746,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(necessarily(implies(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f3180,f1142]) ).
fof(f4747,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(necessarily(implies(X0,X0))),necessarily(necessarily(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f3180,f3013]) ).
fof(f4748,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(necessarily(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f3180,f666]) ).
fof(f4749,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(necessarily(implies(X1,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3180,f700]) ).
fof(f4750,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(or(X0,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1047,f3180]) ).
fof(f4751,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(possibly(equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f3292,f1131]) ).
fof(f4752,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(necessarily(possibly(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f3292,f1152]) ).
fof(f4753,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,necessarily(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3292,f1148]) ).
fof(f4754,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,necessarily(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3292,f1164]) ).
fof(f4755,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(possibly(equiv(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f3292,f1142]) ).
fof(f4756,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(possibly(equiv(X0,X0))),necessarily(possibly(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f3292,f3013]) ).
fof(f4757,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(necessarily(possibly(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f3292,f666]) ).
fof(f4758,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(possibly(equiv(X1,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3292,f700]) ).
fof(f4760,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(X0),necessarily(X0))) ),
inference(resolution,[status(thm)],[f1157,f3033]) ).
fof(f4763,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f409]) ).
fof(f4764,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f508]) ).
fof(f4765,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f442]) ).
fof(f4766,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1214,f387]) ).
fof(f4767,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1214,f3032]) ).
fof(f4787,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(equiv(X0,X0),X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f1280,f3295]) ).
fof(f4817,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(X1,X0),X1))) ),
inference(resolution,[status(thm)],[f1203,f3447]) ).
fof(f4819,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(possibly(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f4751,f1152]) ).
fof(f4820,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,possibly(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f4751,f1148]) ).
fof(f4821,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,possibly(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f4751,f1164]) ).
fof(f4822,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(possibly(equiv(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f4751,f1142]) ).
fof(f4823,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(possibly(equiv(X0,X0)),possibly(equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f4751,f3013]) ).
fof(f4825,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(possibly(equiv(X1,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4751,f700]) ).
fof(f4839,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(equiv(X0,X0),X1),equiv(X1,equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f1160,f3295]) ).
fof(f4846,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f1160,f3447]) ).
fof(f4848,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(implies(X0,X0))) ),
inference(resolution,[status(thm)],[f3029,f1131]) ).
fof(f4849,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(possibly(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f3029,f1152]) ).
fof(f4850,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3029,f1148]) ).
fof(f4851,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3029,f1164]) ).
fof(f4852,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(possibly(implies(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f3029,f1142]) ).
fof(f4853,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(possibly(implies(X0,X0))),necessarily(possibly(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f3029,f3013]) ).
fof(f4854,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(possibly(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f3029,f666]) ).
fof(f4855,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(possibly(implies(X1,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3029,f700]) ).
fof(f4857,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(possibly(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f4848,f1152]) ).
fof(f4858,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,possibly(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f4848,f1148]) ).
fof(f4859,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,possibly(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f4848,f1164]) ).
fof(f4860,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(possibly(implies(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f4848,f1142]) ).
fof(f4861,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(possibly(implies(X0,X0)),possibly(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f4848,f3013]) ).
fof(f4863,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(possibly(implies(X1,X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4848,f700]) ).
fof(f4864,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(or(X0,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f4848]) ).
fof(f4866,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(or(X0,not(X0)))))) ),
inference(resolution,[status(thm)],[f3181,f1152]) ).
fof(f4867,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3181,f1148]) ).
fof(f4868,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3181,f1164]) ).
fof(f4869,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(or(X0,not(X0))),X1)) ),
inference(resolution,[status(thm)],[f3181,f1142]) ).
fof(f4870,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(or(X0,not(X0))),necessarily(or(X0,not(X0))))) ),
inference(resolution,[status(thm)],[f3181,f3013]) ).
fof(f4872,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(or(X1,not(X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3181,f700]) ).
fof(f4875,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1116,f3181]) ).
fof(f4876,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1115,f3181]) ).
fof(f4878,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1117,f3181]) ).
fof(f4879,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(necessarily(possibly(X0)),possibly(necessarily(not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1114,f3181]) ).
fof(f4885,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(possibly(or(X0,not(X0)))))) ),
inference(resolution,[status(thm)],[f4864,f1152]) ).
fof(f4886,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,possibly(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f4864,f1148]) ).
fof(f4887,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,possibly(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f4864,f1164]) ).
fof(f4888,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(possibly(or(X0,not(X0))),X1)) ),
inference(resolution,[status(thm)],[f4864,f1142]) ).
fof(f4889,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(possibly(or(X0,not(X0))),possibly(or(X0,not(X0))))) ),
inference(resolution,[status(thm)],[f4864,f3013]) ).
fof(f4891,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(possibly(or(X1,not(X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4864,f700]) ).
fof(f4894,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1116,f4864]) ).
fof(f4895,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1115,f4864]) ).
fof(f4897,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1117,f4864]) ).
fof(f4898,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(or(necessarily(possibly(X0)),possibly(necessarily(not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1114,f4864]) ).
fof(f4904,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(possibly(or(X1,not(X1))),X0))) ),
inference(resolution,[status(thm)],[f1208,f4864]) ).
fof(f4905,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(possibly(implies(X1,X1)),X0))) ),
inference(resolution,[status(thm)],[f1208,f4848]) ).
fof(f4906,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(possibly(equiv(X1,X1)),X0))) ),
inference(resolution,[status(thm)],[f1208,f4751]) ).
fof(f4909,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(equiv(X1,X1),X2),X0))) ),
inference(resolution,[status(thm)],[f1208,f3293]) ).
fof(f4911,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,equiv(X2,X2)),X0))) ),
inference(resolution,[status(thm)],[f1208,f3294]) ).
fof(f4914,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,not(X1))),X0))) ),
inference(resolution,[status(thm)],[f1208,f3181]) ).
fof(f4915,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(possibly(implies(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f1208,f3029]) ).
fof(f4916,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(possibly(equiv(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f1208,f3292]) ).
fof(f4917,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(implies(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f1208,f3180]) ).
fof(f4918,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(equiv(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f1208,f3305]) ).
fof(f4937,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,equiv(X2,X2)),X0))) ),
inference(resolution,[status(thm)],[f1208,f3295]) ).
fof(f4944,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,X1),X0))) ),
inference(resolution,[status(thm)],[f1208,f3447]) ).
fof(f4945,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f1122,f3293]) ).
fof(f4947,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(equiv(X1,X1))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1122,f3294]) ).
fof(f4948,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1122,f3031]) ).
fof(f4952,definition,
! [X0] :
( sQ193_spl
<=> ~ is_a_theorem(not(equiv(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f4953,plain,
! [X0] :
( ~ sQ193_spl
| ~ is_a_theorem(not(equiv(X0,X0))) ),
inference(component_clause,[status(thm)],[f4952]) ).
fof(f4955,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f4945,f4952,f1459,f644,f630,f658,f518,f397,f386,f452,f341]) ).
fof(f4957,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ192_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f4947,f1471,f4577,f644,f630,f658,f518,f397,f386,f463,f341]) ).
fof(f4958,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ191_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f4948,f1471,f3446,f644,f630,f397,f386,f463,f341]) ).
fof(f4961,plain,
( sQ105_spl
| ~ sQ6_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f728,f1492]) ).
fof(f4962,plain,
( sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1494]) ).
fof(f4965,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3295]) ).
fof(f4969,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3032]) ).
fof(f4991,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1047,f387]) ).
fof(f5001,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(paramodulation,[status(thm)],[f1047,f3447]) ).
fof(f5022,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,not(X1)),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f645,f3034]) ).
fof(f5025,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f1118,f5022]) ).
fof(f5028,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)],[f659,f442]) ).
fof(f5029,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f659,f519]) ).
fof(f5030,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f659,f420]) ).
fof(f5031,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f659,f431]) ).
fof(f5032,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1170]) ).
fof(f5033,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1145]) ).
fof(f5042,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(not(X0)),possibly(X0))) ),
inference(paramodulation,[status(thm)],[f943,f3034]) ).
fof(f5045,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),possibly(X0))) ),
inference(forward_demodulation,[status(thm)],[f1119,f5042]) ).
fof(f5061,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f659,f1146]) ).
fof(f5072,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1171]) ).
fof(f5084,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(implies(implies(X0,X0),equiv(X0,X0)))) ),
inference(paramodulation,[status(thm)],[f659,f3020]) ).
fof(f5085,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),possibly(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3015,f4864]) ).
fof(f5086,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),possibly(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3015,f4848]) ).
fof(f5087,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),possibly(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f3015,f4751]) ).
fof(f5088,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f3015,f2962]) ).
fof(f5089,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f3015,f723]) ).
fof(f5090,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f3015,f3293]) ).
fof(f5091,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f3015,f3030]) ).
fof(f5092,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f3015,f3294]) ).
fof(f5093,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3015,f3031]) ).
fof(f5094,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f3015,f3034]) ).
fof(f5095,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3015,f3181]) ).
fof(f5096,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3015,f3029]) ).
fof(f5097,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3015,f3292]) ).
fof(f5098,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3015,f3180]) ).
fof(f5099,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3015,f3305]) ).
fof(f5100,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f3015,f1127]) ).
fof(f5101,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f3015,f1171]) ).
fof(f5102,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f3015,f1146]) ).
fof(f5103,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f3015,f1132]) ).
fof(f5104,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(X1,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f3015,f3020]) ).
fof(f5105,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3015,f3033]) ).
fof(f5106,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f3015,f3296]) ).
fof(f5107,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f3015,f3285]) ).
fof(f5108,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f3015,f1044]) ).
fof(f5109,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f3015,f486]) ).
fof(f5110,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f3015,f497]) ).
fof(f5111,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(implies(X1,implies(X1,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f3015,f398]) ).
fof(f5112,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))))) ),
inference(resolution,[status(thm)],[f3015,f475]) ).
fof(f5113,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f3015,f409]) ).
fof(f5114,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))) ),
inference(resolution,[status(thm)],[f3015,f508]) ).
fof(f5115,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f3015,f420]) ).
fof(f5116,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f3015,f431]) ).
fof(f5117,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f3015,f734]) ).
fof(f5118,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(necessarily(X1),necessarily(necessarily(X1))))) ),
inference(resolution,[status(thm)],[f3015,f756]) ).
fof(f5119,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f3015,f745]) ).
fof(f5120,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,necessarily(possibly(X1))))) ),
inference(resolution,[status(thm)],[f3015,f767]) ).
fof(f5121,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f3015,f3295]) ).
fof(f5122,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,implies(X2,and(X1,X2))))) ),
inference(resolution,[status(thm)],[f3015,f442]) ).
fof(f5123,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f3015,f387]) ).
fof(f5124,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3015,f3032]) ).
fof(f5125,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f3015,f464]) ).
fof(f5126,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f3015,f453]) ).
fof(f5127,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f3015,f519]) ).
fof(f5128,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,X1))) ),
inference(resolution,[status(thm)],[f3015,f3447]) ).
fof(f5131,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1143,f3015]) ).
fof(f5143,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1165,f3015]) ).
fof(f5155,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1149,f3015]) ).
fof(f5165,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f1149]) ).
fof(f5166,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f1179,f1228]) ).
fof(f5167,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(implies(necessarily(X1),X1),X2))) ),
inference(resolution,[status(thm)],[f1179,f3015]) ).
fof(f5176,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),possibly(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f1885,f4864]) ).
fof(f5177,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),possibly(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f1885,f4848]) ).
fof(f5178,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),possibly(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f1885,f4751]) ).
fof(f5179,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1885,f2962]) ).
fof(f5180,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1885,f723]) ).
fof(f5181,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f1885,f3293]) ).
fof(f5182,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(implies(necessarily(X1),X1),X2))) ),
inference(resolution,[status(thm)],[f1885,f1179]) ).
fof(f5183,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f1885,f3030]) ).
fof(f5184,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1885,f3294]) ).
fof(f5185,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1885,f3031]) ).
fof(f5186,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f1885,f3034]) ).
fof(f5187,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f1885,f3181]) ).
fof(f5188,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f1885,f3029]) ).
fof(f5189,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f1885,f3292]) ).
fof(f5190,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f1885,f3180]) ).
fof(f5191,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f1885,f3305]) ).
fof(f5192,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1885,f1127]) ).
fof(f5193,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1885,f1171]) ).
fof(f5194,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1885,f1146]) ).
fof(f5195,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1885,f1132]) ).
fof(f5196,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1885,f1149]) ).
fof(f5197,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1885,f1165]) ).
fof(f5198,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1885,f1143]) ).
fof(f5199,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(X1,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f1885,f3020]) ).
fof(f5200,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f1885,f3033]) ).
fof(f5201,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f1885,f3296]) ).
fof(f5202,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f1885,f3285]) ).
fof(f5203,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1885,f1044]) ).
fof(f5204,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1885,f486]) ).
fof(f5205,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1885,f497]) ).
fof(f5206,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(implies(X1,implies(X1,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1885,f398]) ).
fof(f5207,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))))) ),
inference(resolution,[status(thm)],[f1885,f475]) ).
fof(f5208,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f1885,f409]) ).
fof(f5209,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))) ),
inference(resolution,[status(thm)],[f1885,f508]) ).
fof(f5210,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f1885,f420]) ).
fof(f5211,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f1885,f431]) ).
fof(f5212,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1885,f734]) ).
fof(f5213,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(necessarily(X1),necessarily(necessarily(X1))))) ),
inference(resolution,[status(thm)],[f1885,f756]) ).
fof(f5214,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f1885,f745]) ).
fof(f5215,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,necessarily(possibly(X1))))) ),
inference(resolution,[status(thm)],[f1885,f767]) ).
fof(f5216,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1885,f3295]) ).
fof(f5217,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,implies(X2,and(X1,X2))))) ),
inference(resolution,[status(thm)],[f1885,f442]) ).
fof(f5218,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1885,f387]) ).
fof(f5219,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1885,f3032]) ).
fof(f5220,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1885,f464]) ).
fof(f5221,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1885,f453]) ).
fof(f5222,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f1885,f519]) ).
fof(f5223,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,X1))) ),
inference(resolution,[status(thm)],[f1885,f3447]) ).
fof(f5224,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1884,f4864]) ).
fof(f5225,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1884,f4848]) ).
fof(f5226,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1884,f4751]) ).
fof(f5227,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1884,f2962]) ).
fof(f5228,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1884,f723]) ).
fof(f5229,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1884,f3293]) ).
fof(f5230,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1884,f1179]) ).
fof(f5231,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1884,f3030]) ).
fof(f5232,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1884,f3294]) ).
fof(f5233,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1884,f3031]) ).
fof(f5234,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1884,f3034]) ).
fof(f5235,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1884,f3181]) ).
fof(f5236,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1884,f3029]) ).
fof(f5237,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1884,f3292]) ).
fof(f5238,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1884,f3180]) ).
fof(f5239,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1884,f3305]) ).
fof(f5240,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1884,f1127]) ).
fof(f5241,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1884,f1171]) ).
fof(f5242,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1884,f1146]) ).
fof(f5243,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1884,f1132]) ).
fof(f5244,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1884,f1149]) ).
fof(f5245,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1884,f1165]) ).
fof(f5246,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1884,f1143]) ).
fof(f5247,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1884,f3020]) ).
fof(f5248,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1884,f3033]) ).
fof(f5249,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1884,f3296]) ).
fof(f5250,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1884,f3285]) ).
fof(f5251,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1884,f1044]) ).
fof(f5252,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1884,f486]) ).
fof(f5253,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1884,f497]) ).
fof(f5254,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1884,f398]) ).
fof(f5255,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1884,f475]) ).
fof(f5256,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1884,f409]) ).
fof(f5257,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1884,f508]) ).
fof(f5258,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1884,f420]) ).
fof(f5259,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1884,f431]) ).
fof(f5260,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1884,f734]) ).
fof(f5261,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1884,f756]) ).
fof(f5262,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1884,f745]) ).
fof(f5263,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1884,f767]) ).
fof(f5264,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1884,f3295]) ).
fof(f5265,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1884,f442]) ).
fof(f5266,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1884,f387]) ).
fof(f5267,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1884,f3032]) ).
fof(f5268,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1884,f464]) ).
fof(f5269,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1884,f453]) ).
fof(f5270,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1884,f519]) ).
fof(f5271,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1884,f3447]) ).
fof(f5272,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1883,f4864]) ).
fof(f5273,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1883,f4848]) ).
fof(f5274,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1883,f4751]) ).
fof(f5275,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1883,f2962]) ).
fof(f5276,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1883,f723]) ).
fof(f5277,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1883,f3293]) ).
fof(f5278,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1883,f1179]) ).
fof(f5279,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1883,f3030]) ).
fof(f5280,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1883,f3294]) ).
fof(f5281,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1883,f3031]) ).
fof(f5282,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1883,f3034]) ).
fof(f5283,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1883,f3181]) ).
fof(f5284,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1883,f3029]) ).
fof(f5285,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1883,f3292]) ).
fof(f5286,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1883,f3180]) ).
fof(f5287,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1883,f3305]) ).
fof(f5288,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1883,f1127]) ).
fof(f5289,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1883,f1171]) ).
fof(f5290,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1883,f1146]) ).
fof(f5291,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1883,f1132]) ).
fof(f5292,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1883,f1149]) ).
fof(f5293,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1883,f1165]) ).
fof(f5294,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1883,f1143]) ).
fof(f5295,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1883,f3020]) ).
fof(f5296,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1883,f3033]) ).
fof(f5297,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1883,f3296]) ).
fof(f5298,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1883,f3285]) ).
fof(f5299,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1883,f1044]) ).
fof(f5300,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1883,f486]) ).
fof(f5301,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1883,f497]) ).
fof(f5302,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1883,f398]) ).
fof(f5303,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1883,f475]) ).
fof(f5304,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1883,f409]) ).
fof(f5305,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1883,f508]) ).
fof(f5306,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1883,f420]) ).
fof(f5307,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1883,f431]) ).
fof(f5308,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1883,f734]) ).
fof(f5309,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1883,f756]) ).
fof(f5310,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1883,f745]) ).
fof(f5311,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1883,f767]) ).
fof(f5312,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1883,f3295]) ).
fof(f5313,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1883,f442]) ).
fof(f5314,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1883,f387]) ).
fof(f5315,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1883,f3032]) ).
fof(f5316,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1883,f464]) ).
fof(f5317,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1883,f453]) ).
fof(f5318,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1883,f519]) ).
fof(f5319,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1883,f3447]) ).
fof(f5320,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1882,f4864]) ).
fof(f5321,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1882,f4848]) ).
fof(f5322,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1882,f4751]) ).
fof(f5323,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1882,f2962]) ).
fof(f5324,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1882,f723]) ).
fof(f5325,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1882,f3293]) ).
fof(f5326,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1882,f1179]) ).
fof(f5327,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1882,f3030]) ).
fof(f5328,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1882,f3294]) ).
fof(f5329,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1882,f3031]) ).
fof(f5330,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1882,f3034]) ).
fof(f5331,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1882,f3181]) ).
fof(f5332,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1882,f3029]) ).
fof(f5333,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1882,f3292]) ).
fof(f5334,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1882,f3180]) ).
fof(f5335,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1882,f3305]) ).
fof(f5336,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1882,f1127]) ).
fof(f5337,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1882,f1171]) ).
fof(f5338,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1882,f1146]) ).
fof(f5339,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1882,f1132]) ).
fof(f5340,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1882,f1149]) ).
fof(f5341,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1882,f1165]) ).
fof(f5342,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1882,f1143]) ).
fof(f5343,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1882,f3020]) ).
fof(f5344,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1882,f3033]) ).
fof(f5345,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1882,f3296]) ).
fof(f5346,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1882,f3285]) ).
fof(f5347,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1882,f1044]) ).
fof(f5348,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1882,f486]) ).
fof(f5349,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1882,f497]) ).
fof(f5350,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1882,f398]) ).
fof(f5351,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1882,f475]) ).
fof(f5352,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1882,f409]) ).
fof(f5353,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1882,f508]) ).
fof(f5354,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1882,f420]) ).
fof(f5355,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1882,f431]) ).
fof(f5356,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1882,f734]) ).
fof(f5357,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1882,f756]) ).
fof(f5358,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1882,f745]) ).
fof(f5359,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1882,f767]) ).
fof(f5360,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1882,f3295]) ).
fof(f5361,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1882,f442]) ).
fof(f5362,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1882,f387]) ).
fof(f5363,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1882,f3032]) ).
fof(f5364,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1882,f464]) ).
fof(f5365,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1882,f453]) ).
fof(f5366,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1882,f519]) ).
fof(f5367,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1882,f3447]) ).
fof(f5368,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1194,f1228]) ).
fof(f5369,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(strict_equiv(sK60_skl,sK61_skl),X2))) ),
inference(resolution,[status(thm)],[f1194,f1882]) ).
fof(f5370,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(strict_equiv(sK60_skl,sK61_skl),X2))) ),
inference(resolution,[status(thm)],[f1194,f1883]) ).
fof(f5371,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(strict_equiv(sK60_skl,sK61_skl),X2))) ),
inference(resolution,[status(thm)],[f1194,f1884]) ).
fof(f5372,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(strict_equiv(sK60_skl,sK61_skl),X1))) ),
inference(resolution,[status(thm)],[f1194,f1885]) ).
fof(f5373,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(strict_equiv(sK60_skl,sK61_skl),X1))) ),
inference(resolution,[status(thm)],[f1194,f3015]) ).
fof(f5382,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1881,f4864]) ).
fof(f5383,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1881,f4848]) ).
fof(f5384,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1881,f4751]) ).
fof(f5385,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1881,f2962]) ).
fof(f5386,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1881,f723]) ).
fof(f5387,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(strict_equiv(sK60_skl,sK61_skl),X2))) ),
inference(resolution,[status(thm)],[f1881,f1194]) ).
fof(f5388,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1881,f3293]) ).
fof(f5389,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1881,f1179]) ).
fof(f5390,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1881,f3030]) ).
fof(f5391,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1881,f3294]) ).
fof(f5392,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1881,f3031]) ).
fof(f5393,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1881,f3034]) ).
fof(f5394,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1881,f3181]) ).
fof(f5395,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1881,f3029]) ).
fof(f5396,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1881,f3292]) ).
fof(f5397,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1881,f3180]) ).
fof(f5398,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1881,f3305]) ).
fof(f5399,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1881,f1127]) ).
fof(f5400,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1881,f1171]) ).
fof(f5401,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1881,f1146]) ).
fof(f5402,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1881,f1132]) ).
fof(f5403,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1881,f1149]) ).
fof(f5404,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1881,f1165]) ).
fof(f5405,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1881,f1143]) ).
fof(f5406,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1881,f3020]) ).
fof(f5407,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1881,f3033]) ).
fof(f5408,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1881,f3296]) ).
fof(f5409,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1881,f3285]) ).
fof(f5410,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1881,f1044]) ).
fof(f5411,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1881,f486]) ).
fof(f5412,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1881,f497]) ).
fof(f5413,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1881,f398]) ).
fof(f5414,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1881,f475]) ).
fof(f5415,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1881,f409]) ).
fof(f5416,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1881,f508]) ).
fof(f5417,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1881,f420]) ).
fof(f5418,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1881,f431]) ).
fof(f5419,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1881,f734]) ).
fof(f5420,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1881,f756]) ).
fof(f5421,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1881,f745]) ).
fof(f5422,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1881,f767]) ).
fof(f5423,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1881,f3295]) ).
fof(f5424,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1881,f442]) ).
fof(f5425,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1881,f387]) ).
fof(f5426,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1881,f3032]) ).
fof(f5427,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1881,f464]) ).
fof(f5428,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1881,f453]) ).
fof(f5429,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1881,f519]) ).
fof(f5430,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1881,f3447]) ).
fof(f5431,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1367,f1881]) ).
fof(f5432,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1367,f1882]) ).
fof(f5433,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1367,f1883]) ).
fof(f5434,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1367,f1884]) ).
fof(f5435,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1367,f1885]) ).
fof(f5436,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1367,f3015]) ).
fof(f5445,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1144,f1881]) ).
fof(f5446,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1144,f1882]) ).
fof(f5447,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1144,f1883]) ).
fof(f5448,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1144,f1884]) ).
fof(f5449,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f1144,f1885]) ).
fof(f5450,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f1144,f3015]) ).
fof(f5463,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1166,f1881]) ).
fof(f5464,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1166,f1882]) ).
fof(f5465,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1166,f1883]) ).
fof(f5466,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1166,f1884]) ).
fof(f5467,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1166,f1885]) ).
fof(f5468,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1166,f3015]) ).
fof(f5481,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1348,f1881]) ).
fof(f5482,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1348,f1882]) ).
fof(f5483,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1348,f1883]) ).
fof(f5484,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1348,f1884]) ).
fof(f5485,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1348,f1885]) ).
fof(f5486,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1348,f3015]) ).
fof(f5495,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1880,f4864]) ).
fof(f5496,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1880,f4848]) ).
fof(f5497,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1880,f4751]) ).
fof(f5498,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1880,f2962]) ).
fof(f5499,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1880,f723]) ).
fof(f5500,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(strict_equiv(sK60_skl,sK61_skl),X2))) ),
inference(resolution,[status(thm)],[f1880,f1194]) ).
fof(f5501,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1880,f3293]) ).
fof(f5502,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1880,f1179]) ).
fof(f5503,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1880,f3030]) ).
fof(f5504,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ10_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1880,f1144]) ).
fof(f5505,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ10_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1880,f1166]) ).
fof(f5506,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1880,f1367]) ).
fof(f5507,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1880,f3294]) ).
fof(f5508,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1880,f1348]) ).
fof(f5509,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1880,f3031]) ).
fof(f5510,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1880,f3034]) ).
fof(f5511,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1880,f3181]) ).
fof(f5512,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1880,f3029]) ).
fof(f5513,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1880,f3292]) ).
fof(f5514,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1880,f3180]) ).
fof(f5515,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1880,f3305]) ).
fof(f5516,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1880,f1127]) ).
fof(f5517,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1880,f1171]) ).
fof(f5518,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1880,f1146]) ).
fof(f5519,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1880,f1132]) ).
fof(f5520,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1880,f1149]) ).
fof(f5521,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1880,f1165]) ).
fof(f5522,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1880,f1143]) ).
fof(f5523,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1880,f3020]) ).
fof(f5524,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1880,f3033]) ).
fof(f5525,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1880,f3296]) ).
fof(f5526,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1880,f3285]) ).
fof(f5527,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1880,f1044]) ).
fof(f5528,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1880,f486]) ).
fof(f5529,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1880,f497]) ).
fof(f5530,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1880,f398]) ).
fof(f5531,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1880,f475]) ).
fof(f5532,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1880,f409]) ).
fof(f5533,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1880,f508]) ).
fof(f5534,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1880,f420]) ).
fof(f5535,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1880,f431]) ).
fof(f5536,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1880,f734]) ).
fof(f5537,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1880,f756]) ).
fof(f5538,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1880,f745]) ).
fof(f5539,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1880,f767]) ).
fof(f5540,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1880,f3295]) ).
fof(f5541,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1880,f442]) ).
fof(f5542,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1880,f387]) ).
fof(f5543,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1880,f3032]) ).
fof(f5544,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1880,f464]) ).
fof(f5545,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1880,f453]) ).
fof(f5546,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1880,f519]) ).
fof(f5547,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1880,f3447]) ).
fof(f5548,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1879,f4864]) ).
fof(f5549,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1879,f4848]) ).
fof(f5550,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1879,f4751]) ).
fof(f5551,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1879,f2962]) ).
fof(f5552,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1879,f723]) ).
fof(f5553,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(strict_equiv(sK60_skl,sK61_skl),X2))) ),
inference(resolution,[status(thm)],[f1879,f1194]) ).
fof(f5554,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1879,f3293]) ).
fof(f5555,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1879,f1179]) ).
fof(f5556,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1879,f3030]) ).
fof(f5557,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1879,f1144]) ).
fof(f5558,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1879,f1166]) ).
fof(f5559,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1879,f1367]) ).
fof(f5560,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1879,f3294]) ).
fof(f5561,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1879,f1348]) ).
fof(f5562,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1879,f3031]) ).
fof(f5563,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1879,f3034]) ).
fof(f5564,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1879,f3181]) ).
fof(f5565,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1879,f3029]) ).
fof(f5566,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1879,f3292]) ).
fof(f5567,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1879,f3180]) ).
fof(f5568,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1879,f3305]) ).
fof(f5569,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1879,f1127]) ).
fof(f5570,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1879,f1171]) ).
fof(f5571,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1879,f1146]) ).
fof(f5572,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1879,f1132]) ).
fof(f5573,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1879,f1149]) ).
fof(f5574,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1879,f1165]) ).
fof(f5575,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1879,f1143]) ).
fof(f5576,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1879,f3020]) ).
fof(f5577,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1879,f3033]) ).
fof(f5578,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1879,f3296]) ).
fof(f5579,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1879,f3285]) ).
fof(f5580,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1879,f1044]) ).
fof(f5581,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1879,f486]) ).
fof(f5582,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1879,f497]) ).
fof(f5583,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1879,f398]) ).
fof(f5584,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1879,f475]) ).
fof(f5585,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1879,f409]) ).
fof(f5586,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1879,f508]) ).
fof(f5587,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1879,f420]) ).
fof(f5588,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1879,f431]) ).
fof(f5589,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1879,f734]) ).
fof(f5590,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1879,f756]) ).
fof(f5591,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1879,f745]) ).
fof(f5592,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1879,f767]) ).
fof(f5593,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1879,f3295]) ).
fof(f5594,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1879,f442]) ).
fof(f5595,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1879,f387]) ).
fof(f5596,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1879,f3032]) ).
fof(f5597,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1879,f464]) ).
fof(f5598,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1879,f453]) ).
fof(f5599,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1879,f519]) ).
fof(f5600,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1879,f3447]) ).
fof(f5601,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1878,f4864]) ).
fof(f5602,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1878,f4848]) ).
fof(f5603,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1878,f4751]) ).
fof(f5604,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1878,f2962]) ).
fof(f5605,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1878,f723]) ).
fof(f5606,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(strict_equiv(sK60_skl,sK61_skl),X2))) ),
inference(resolution,[status(thm)],[f1878,f1194]) ).
fof(f5607,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1878,f3293]) ).
fof(f5608,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1878,f1179]) ).
fof(f5609,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1878,f3030]) ).
fof(f5610,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1878,f1144]) ).
fof(f5611,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1878,f1166]) ).
fof(f5612,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1878,f1367]) ).
fof(f5613,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1878,f3294]) ).
fof(f5614,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1878,f1348]) ).
fof(f5615,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1878,f3031]) ).
fof(f5616,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1878,f3034]) ).
fof(f5617,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1878,f3181]) ).
fof(f5618,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1878,f3029]) ).
fof(f5619,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1878,f3292]) ).
fof(f5620,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1878,f3180]) ).
fof(f5621,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1878,f3305]) ).
fof(f5622,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1878,f1127]) ).
fof(f5623,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1878,f1171]) ).
fof(f5624,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1878,f1146]) ).
fof(f5625,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1878,f1132]) ).
fof(f5626,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1878,f1149]) ).
fof(f5627,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1878,f1165]) ).
fof(f5628,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1878,f1143]) ).
fof(f5629,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1878,f3020]) ).
fof(f5630,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1878,f3033]) ).
fof(f5631,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1878,f3296]) ).
fof(f5632,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1878,f3285]) ).
fof(f5633,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1878,f1044]) ).
fof(f5634,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1878,f486]) ).
fof(f5635,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1878,f497]) ).
fof(f5636,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1878,f398]) ).
fof(f5637,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1878,f475]) ).
fof(f5638,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1878,f409]) ).
fof(f5639,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1878,f508]) ).
fof(f5640,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1878,f420]) ).
fof(f5641,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1878,f431]) ).
fof(f5642,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1878,f734]) ).
fof(f5643,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1878,f756]) ).
fof(f5644,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1878,f745]) ).
fof(f5645,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1878,f767]) ).
fof(f5646,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1878,f3295]) ).
fof(f5647,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1878,f442]) ).
fof(f5648,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1878,f387]) ).
fof(f5649,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1878,f3032]) ).
fof(f5650,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1878,f464]) ).
fof(f5651,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1878,f453]) ).
fof(f5652,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1878,f519]) ).
fof(f5653,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1878,f3447]) ).
fof(f5654,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),possibly(or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f1877,f4864]) ).
fof(f5655,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),possibly(implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1877,f4848]) ).
fof(f5656,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),possibly(equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1877,f4751]) ).
fof(f5657,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1877,f2962]) ).
fof(f5658,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1877,f723]) ).
fof(f5659,plain,
! [X0,X1,X2,X3] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(strict_equiv(sK60_skl,sK61_skl),X3))) ),
inference(resolution,[status(thm)],[f1877,f1194]) ).
fof(f5660,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(equiv(X3,X3),X4))) ),
inference(resolution,[status(thm)],[f1877,f3293]) ).
fof(f5661,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(implies(necessarily(X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1877,f1179]) ).
fof(f5662,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(implies(X3,X3),X4))) ),
inference(resolution,[status(thm)],[f1877,f3030]) ).
fof(f5663,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,or(not(X3),X4)))) ),
inference(resolution,[status(thm)],[f1877,f1144]) ).
fof(f5664,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,or(X4,not(X3))))) ),
inference(resolution,[status(thm)],[f1877,f1166]) ).
fof(f5665,plain,
! [X0,X1,X2,X3] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1877,f1367]) ).
fof(f5666,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,equiv(X4,X4)))) ),
inference(resolution,[status(thm)],[f1877,f3294]) ).
fof(f5667,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,implies(necessarily(X4),X4)))) ),
inference(resolution,[status(thm)],[f1877,f1348]) ).
fof(f5668,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,implies(X4,X4)))) ),
inference(resolution,[status(thm)],[f1877,f3031]) ).
fof(f5669,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,not(X3)))) ),
inference(resolution,[status(thm)],[f1877,f3034]) ).
fof(f5670,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f1877,f3181]) ).
fof(f5671,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1877,f3029]) ).
fof(f5672,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1877,f3292]) ).
fof(f5673,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1877,f3180]) ).
fof(f5674,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1877,f3305]) ).
fof(f5675,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1877,f1127]) ).
fof(f5676,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1877,f1171]) ).
fof(f5677,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1877,f1146]) ).
fof(f5678,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1877,f1132]) ).
fof(f5679,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1877,f1149]) ).
fof(f5680,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1877,f1165]) ).
fof(f5681,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1877,f1143]) ).
fof(f5682,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(X3,and(X3,X3))))) ),
inference(resolution,[status(thm)],[f1877,f3020]) ).
fof(f5683,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1877,f3033]) ).
fof(f5684,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1877,f3296]) ).
fof(f5685,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),equiv(X3,X3))) ),
inference(resolution,[status(thm)],[f1877,f3285]) ).
fof(f5686,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(or(X3,not(X4)),implies(X4,X3)))) ),
inference(resolution,[status(thm)],[f1877,f1044]) ).
fof(f5687,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(equiv(X3,X4),implies(X3,X4)))) ),
inference(resolution,[status(thm)],[f1877,f486]) ).
fof(f5688,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(equiv(X3,X4),implies(X4,X3)))) ),
inference(resolution,[status(thm)],[f1877,f497]) ).
fof(f5689,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(X3,implies(X3,X4)),implies(X3,X4)))) ),
inference(resolution,[status(thm)],[f1877,f398]) ).
fof(f5690,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(X3,X4),implies(implies(X5,X4),implies(or(X3,X5),X4))))) ),
inference(resolution,[status(thm)],[f1877,f475]) ).
fof(f5691,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(X3,X4),implies(implies(X4,X5),implies(X3,X5))))) ),
inference(resolution,[status(thm)],[f1877,f409]) ).
fof(f5692,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(X3,X4),implies(implies(X4,X3),equiv(X3,X4))))) ),
inference(resolution,[status(thm)],[f1877,f508]) ).
fof(f5693,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(and(X3,X4),X3))) ),
inference(resolution,[status(thm)],[f1877,f420]) ).
fof(f5694,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(and(X3,X4),X4))) ),
inference(resolution,[status(thm)],[f1877,f431]) ).
fof(f5695,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(necessarily(implies(X3,X4)),implies(necessarily(X3),necessarily(X4))))) ),
inference(resolution,[status(thm)],[f1877,f734]) ).
fof(f5696,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(necessarily(X3),necessarily(necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1877,f756]) ).
fof(f5697,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(necessarily(X3),X3))) ),
inference(resolution,[status(thm)],[f1877,f745]) ).
fof(f5698,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,necessarily(possibly(X3))))) ),
inference(resolution,[status(thm)],[f1877,f767]) ).
fof(f5699,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,equiv(X4,X4)))) ),
inference(resolution,[status(thm)],[f1877,f3295]) ).
fof(f5700,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,implies(X4,and(X3,X4))))) ),
inference(resolution,[status(thm)],[f1877,f442]) ).
fof(f5701,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,implies(X4,X3)))) ),
inference(resolution,[status(thm)],[f1877,f387]) ).
fof(f5702,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,implies(X4,X4)))) ),
inference(resolution,[status(thm)],[f1877,f3032]) ).
fof(f5703,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,or(X4,X3)))) ),
inference(resolution,[status(thm)],[f1877,f464]) ).
fof(f5704,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,or(X3,X4)))) ),
inference(resolution,[status(thm)],[f1877,f453]) ).
fof(f5705,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,and(X3,X3)))) ),
inference(resolution,[status(thm)],[f1877,f519]) ).
fof(f5706,plain,
! [X0,X1,X2,X3] :
( ~ sQ191_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,X3))) ),
inference(resolution,[status(thm)],[f1877,f3447]) ).
fof(f5707,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,implies(X4,not(X3))))) ),
inference(resolution,[status(thm)],[f1150,f1877]) ).
fof(f5708,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1150,f1878]) ).
fof(f5709,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1150,f1879]) ).
fof(f5710,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1150,f1880]) ).
fof(f5711,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1150,f1881]) ).
fof(f5712,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1150,f1882]) ).
fof(f5713,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1150,f1883]) ).
fof(f5714,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1150,f1884]) ).
fof(f5715,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1150,f1885]) ).
fof(f5716,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1150,f3015]) ).
fof(f5725,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f1150]) ).
fof(f5730,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),possibly(or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f1876,f4864]) ).
fof(f5731,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),possibly(implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1876,f4848]) ).
fof(f5732,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),possibly(equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1876,f4751]) ).
fof(f5733,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1876,f2962]) ).
fof(f5734,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1876,f723]) ).
fof(f5735,plain,
! [X0,X1,X2,X3] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(strict_equiv(sK60_skl,sK61_skl),X3))) ),
inference(resolution,[status(thm)],[f1876,f1194]) ).
fof(f5736,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(equiv(X3,X3),X4))) ),
inference(resolution,[status(thm)],[f1876,f3293]) ).
fof(f5737,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(implies(necessarily(X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1876,f1179]) ).
fof(f5738,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(implies(X3,X3),X4))) ),
inference(resolution,[status(thm)],[f1876,f3030]) ).
fof(f5739,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,or(not(X3),X4)))) ),
inference(resolution,[status(thm)],[f1876,f1144]) ).
fof(f5740,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,or(X4,not(X3))))) ),
inference(resolution,[status(thm)],[f1876,f1166]) ).
fof(f5741,plain,
! [X0,X1,X2,X3] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1876,f1367]) ).
fof(f5742,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,equiv(X4,X4)))) ),
inference(resolution,[status(thm)],[f1876,f3294]) ).
fof(f5743,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,implies(necessarily(X4),X4)))) ),
inference(resolution,[status(thm)],[f1876,f1348]) ).
fof(f5744,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,implies(X4,not(X3))))) ),
inference(resolution,[status(thm)],[f1876,f1150]) ).
fof(f5745,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,implies(X4,X4)))) ),
inference(resolution,[status(thm)],[f1876,f3031]) ).
fof(f5746,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,not(X3)))) ),
inference(resolution,[status(thm)],[f1876,f3034]) ).
fof(f5747,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f1876,f3181]) ).
fof(f5748,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1876,f3029]) ).
fof(f5749,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1876,f3292]) ).
fof(f5750,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1876,f3180]) ).
fof(f5751,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1876,f3305]) ).
fof(f5752,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1876,f1127]) ).
fof(f5753,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1876,f1171]) ).
fof(f5754,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1876,f1146]) ).
fof(f5755,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1876,f1132]) ).
fof(f5756,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1876,f1149]) ).
fof(f5757,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1876,f1165]) ).
fof(f5758,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1876,f1143]) ).
fof(f5759,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(X3,and(X3,X3))))) ),
inference(resolution,[status(thm)],[f1876,f3020]) ).
fof(f5760,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1876,f3033]) ).
fof(f5761,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1876,f3296]) ).
fof(f5762,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),equiv(X3,X3))) ),
inference(resolution,[status(thm)],[f1876,f3285]) ).
fof(f5763,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(or(X3,not(X4)),implies(X4,X3)))) ),
inference(resolution,[status(thm)],[f1876,f1044]) ).
fof(f5764,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(equiv(X3,X4),implies(X3,X4)))) ),
inference(resolution,[status(thm)],[f1876,f486]) ).
fof(f5765,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(equiv(X3,X4),implies(X4,X3)))) ),
inference(resolution,[status(thm)],[f1876,f497]) ).
fof(f5766,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(implies(X3,implies(X3,X4)),implies(X3,X4)))) ),
inference(resolution,[status(thm)],[f1876,f398]) ).
fof(f5767,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(implies(X3,X4),implies(implies(X5,X4),implies(or(X3,X5),X4))))) ),
inference(resolution,[status(thm)],[f1876,f475]) ).
fof(f5768,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(implies(X3,X4),implies(implies(X4,X5),implies(X3,X5))))) ),
inference(resolution,[status(thm)],[f1876,f409]) ).
fof(f5769,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(implies(X3,X4),implies(implies(X4,X3),equiv(X3,X4))))) ),
inference(resolution,[status(thm)],[f1876,f508]) ).
fof(f5770,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(and(X3,X4),X3))) ),
inference(resolution,[status(thm)],[f1876,f420]) ).
fof(f5771,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(and(X3,X4),X4))) ),
inference(resolution,[status(thm)],[f1876,f431]) ).
fof(f5772,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(necessarily(implies(X3,X4)),implies(necessarily(X3),necessarily(X4))))) ),
inference(resolution,[status(thm)],[f1876,f734]) ).
fof(f5773,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(necessarily(X3),necessarily(necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1876,f756]) ).
fof(f5774,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(necessarily(X3),X3))) ),
inference(resolution,[status(thm)],[f1876,f745]) ).
fof(f5775,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,necessarily(possibly(X3))))) ),
inference(resolution,[status(thm)],[f1876,f767]) ).
fof(f5776,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,equiv(X4,X4)))) ),
inference(resolution,[status(thm)],[f1876,f3295]) ).
fof(f5777,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,implies(X4,and(X3,X4))))) ),
inference(resolution,[status(thm)],[f1876,f442]) ).
fof(f5778,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,implies(X4,X3)))) ),
inference(resolution,[status(thm)],[f1876,f387]) ).
fof(f5779,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,implies(X4,X4)))) ),
inference(resolution,[status(thm)],[f1876,f3032]) ).
fof(f5780,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,or(X4,X3)))) ),
inference(resolution,[status(thm)],[f1876,f464]) ).
fof(f5781,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,or(X3,X4)))) ),
inference(resolution,[status(thm)],[f1876,f453]) ).
fof(f5782,plain,
! [X0,X1,X2,X3] :
( ~ sQ49_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,and(X3,X3)))) ),
inference(resolution,[status(thm)],[f1876,f519]) ).
fof(f5783,plain,
! [X0,X1,X2,X3] :
( ~ sQ191_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,X3))) ),
inference(resolution,[status(thm)],[f1876,f3447]) ).
fof(f5788,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1264,f1876]) ).
fof(f5789,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1264,f1877]) ).
fof(f5790,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1264,f1878]) ).
fof(f5791,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1264,f1879]) ).
fof(f5792,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1264,f1880]) ).
fof(f5793,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1264,f1881]) ).
fof(f5794,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1264,f1882]) ).
fof(f5795,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1264,f1883]) ).
fof(f5796,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1264,f1884]) ).
fof(f5797,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1264,f1885]) ).
fof(f5798,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1264,f3015]) ).
fof(f5807,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f1264]) ).
fof(f5814,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,implies(necessarily(X4),X4)))) ),
inference(resolution,[status(thm)],[f1248,f1876]) ).
fof(f5815,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,implies(necessarily(X4),X4)))) ),
inference(resolution,[status(thm)],[f1248,f1877]) ).
fof(f5816,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1248,f1878]) ).
fof(f5817,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1248,f1879]) ).
fof(f5818,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1248,f1880]) ).
fof(f5819,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1248,f1881]) ).
fof(f5820,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1248,f1882]) ).
fof(f5821,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1248,f1883]) ).
fof(f5822,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1248,f1884]) ).
fof(f5823,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1248,f1885]) ).
fof(f5824,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1248,f3015]) ).
fof(f5833,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1047,f1248]) ).
fof(f5836,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(or(implies(X3,X3),X4)))) ),
inference(resolution,[status(thm)],[f3314,f1876]) ).
fof(f5837,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(or(implies(X3,X3),X4)))) ),
inference(resolution,[status(thm)],[f3314,f1877]) ).
fof(f5838,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f3314,f1878]) ).
fof(f5839,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f3314,f1879]) ).
fof(f5840,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f3314,f1880]) ).
fof(f5841,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f3314,f1881]) ).
fof(f5842,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f3314,f1882]) ).
fof(f5843,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f3314,f1883]) ).
fof(f5844,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f3314,f1884]) ).
fof(f5845,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(or(implies(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f3314,f1885]) ).
fof(f5846,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(or(implies(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f3314,f3015]) ).
fof(f5847,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(necessarily(or(implies(X1,X1),X2)),X0))) ),
inference(resolution,[status(thm)],[f3314,f1208]) ).
fof(f5848,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(or(implies(X0,X0),X1))))) ),
inference(resolution,[status(thm)],[f3314,f1152]) ).
fof(f5849,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(or(implies(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f3314,f1148]) ).
fof(f5850,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(or(implies(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f3314,f1164]) ).
fof(f5851,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(or(implies(X0,X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f3314,f1142]) ).
fof(f5852,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(or(implies(X0,X0),X1)),necessarily(or(implies(X0,X0),X1)))) ),
inference(resolution,[status(thm)],[f3314,f3013]) ).
fof(f5853,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(or(implies(X0,X0),X1)))) ),
inference(resolution,[status(thm)],[f3314,f666]) ).
fof(f5854,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(or(implies(X1,X1),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3314,f700]) ).
fof(f5855,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(or(X0,not(X0)),X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3314]) ).
fof(f5857,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(or(X3,implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f3427,f1876]) ).
fof(f5858,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(or(X3,implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f3427,f1877]) ).
fof(f5859,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3427,f1878]) ).
fof(f5860,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3427,f1879]) ).
fof(f5861,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3427,f1880]) ).
fof(f5862,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3427,f1881]) ).
fof(f5863,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3427,f1882]) ).
fof(f5864,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3427,f1883]) ).
fof(f5865,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3427,f1884]) ).
fof(f5866,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(or(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3427,f1885]) ).
fof(f5867,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(or(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3427,f3015]) ).
fof(f5868,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,implies(X2,X2))),X0))) ),
inference(resolution,[status(thm)],[f3427,f1208]) ).
fof(f5869,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(or(X0,implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3427,f1152]) ).
fof(f5870,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(or(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3427,f1148]) ).
fof(f5871,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(or(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3427,f1164]) ).
fof(f5872,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(or(X0,implies(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f3427,f1142]) ).
fof(f5873,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(or(X0,implies(X1,X1))),necessarily(or(X0,implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3427,f3013]) ).
fof(f5874,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(or(X0,implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3427,f666]) ).
fof(f5875,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(or(X1,implies(X2,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3427,f700]) ).
fof(f5876,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(X0,or(X1,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1047,f3427]) ).
fof(f5877,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1875,f4864]) ).
fof(f5878,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1875,f4848]) ).
fof(f5879,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1875,f4751]) ).
fof(f5880,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1875,f2962]) ).
fof(f5881,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1875,f723]) ).
fof(f5882,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(strict_equiv(sK60_skl,sK61_skl),X2))) ),
inference(resolution,[status(thm)],[f1875,f1194]) ).
fof(f5883,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1875,f3293]) ).
fof(f5884,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1875,f1179]) ).
fof(f5885,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1875,f3030]) ).
fof(f5886,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1875,f1144]) ).
fof(f5887,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1875,f1166]) ).
fof(f5888,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1875,f1367]) ).
fof(f5889,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1875,f3294]) ).
fof(f5890,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1875,f1348]) ).
fof(f5891,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1875,f1150]) ).
fof(f5892,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1875,f3031]) ).
fof(f5893,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1875,f3034]) ).
fof(f5894,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1875,f3314]) ).
fof(f5895,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1875,f3427]) ).
fof(f5896,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1875,f3181]) ).
fof(f5897,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1875,f3029]) ).
fof(f5898,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1875,f3292]) ).
fof(f5899,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1875,f3180]) ).
fof(f5900,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1875,f3305]) ).
fof(f5901,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1875,f1127]) ).
fof(f5902,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1875,f1171]) ).
fof(f5903,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1875,f1146]) ).
fof(f5904,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1875,f1132]) ).
fof(f5905,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1875,f1149]) ).
fof(f5906,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1875,f1165]) ).
fof(f5907,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1875,f1143]) ).
fof(f5908,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1875,f3020]) ).
fof(f5909,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1875,f3033]) ).
fof(f5910,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1875,f3296]) ).
fof(f5911,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1875,f3285]) ).
fof(f5912,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1875,f1044]) ).
fof(f5913,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1875,f486]) ).
fof(f5914,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1875,f497]) ).
fof(f5915,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1875,f398]) ).
fof(f5916,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1875,f475]) ).
fof(f5917,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1875,f409]) ).
fof(f5918,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1875,f508]) ).
fof(f5919,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1875,f420]) ).
fof(f5920,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1875,f431]) ).
fof(f5921,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1875,f734]) ).
fof(f5922,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1875,f756]) ).
fof(f5923,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1875,f745]) ).
fof(f5924,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1875,f1264]) ).
fof(f5925,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1875,f767]) ).
fof(f5926,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1875,f3295]) ).
fof(f5927,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1875,f1248]) ).
fof(f5928,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1875,f442]) ).
fof(f5929,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1875,f387]) ).
fof(f5930,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1875,f3032]) ).
fof(f5931,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1875,f464]) ).
fof(f5932,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1875,f453]) ).
fof(f5933,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1875,f519]) ).
fof(f5934,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1875,f3447]) ).
fof(f5935,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1874,f4864]) ).
fof(f5936,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1874,f4848]) ).
fof(f5937,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1874,f4751]) ).
fof(f5938,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1874,f2962]) ).
fof(f5939,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1874,f723]) ).
fof(f5940,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(strict_equiv(sK60_skl,sK61_skl),X2))) ),
inference(resolution,[status(thm)],[f1874,f1194]) ).
fof(f5941,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1874,f3293]) ).
fof(f5942,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1874,f1179]) ).
fof(f5943,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1874,f3030]) ).
fof(f5944,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1874,f1144]) ).
fof(f5945,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1874,f1166]) ).
fof(f5946,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1874,f1367]) ).
fof(f5947,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1874,f3294]) ).
fof(f5948,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1874,f1348]) ).
fof(f5949,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1874,f1150]) ).
fof(f5950,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1874,f3031]) ).
fof(f5951,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1874,f3034]) ).
fof(f5952,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1874,f3314]) ).
fof(f5953,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1874,f3427]) ).
fof(f5954,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1874,f3181]) ).
fof(f5955,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1874,f3029]) ).
fof(f5956,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1874,f3292]) ).
fof(f5957,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1874,f3180]) ).
fof(f5958,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1874,f3305]) ).
fof(f5959,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1874,f1127]) ).
fof(f5960,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1874,f1171]) ).
fof(f5961,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1874,f1146]) ).
fof(f5962,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1874,f1132]) ).
fof(f5963,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1874,f1149]) ).
fof(f5964,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1874,f1165]) ).
fof(f5965,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1874,f1143]) ).
fof(f5966,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1874,f3020]) ).
fof(f5967,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1874,f3033]) ).
fof(f5968,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1874,f3296]) ).
fof(f5969,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1874,f3285]) ).
fof(f5970,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1874,f1044]) ).
fof(f5971,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1874,f486]) ).
fof(f5972,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1874,f497]) ).
fof(f5973,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1874,f398]) ).
fof(f5974,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1874,f475]) ).
fof(f5975,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1874,f409]) ).
fof(f5976,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1874,f508]) ).
fof(f5977,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1874,f420]) ).
fof(f5978,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1874,f431]) ).
fof(f5979,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1874,f734]) ).
fof(f5980,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1874,f756]) ).
fof(f5981,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1874,f745]) ).
fof(f5982,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1874,f1264]) ).
fof(f5983,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1874,f767]) ).
fof(f5984,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1874,f3295]) ).
fof(f5985,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1874,f1248]) ).
fof(f5986,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1874,f442]) ).
fof(f5987,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1874,f387]) ).
fof(f5988,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1874,f3032]) ).
fof(f5989,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1874,f464]) ).
fof(f5990,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1874,f453]) ).
fof(f5991,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1874,f519]) ).
fof(f5992,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1874,f3447]) ).
fof(f5993,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1873,f4864]) ).
fof(f5994,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1873,f4848]) ).
fof(f5995,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1873,f4751]) ).
fof(f5996,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1873,f2962]) ).
fof(f5997,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1873,f723]) ).
fof(f5998,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(strict_equiv(sK60_skl,sK61_skl),X2))) ),
inference(resolution,[status(thm)],[f1873,f1194]) ).
fof(f5999,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1873,f3293]) ).
fof(f6000,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1873,f1179]) ).
fof(f6001,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1873,f3030]) ).
fof(f6002,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1873,f1144]) ).
fof(f6003,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1873,f1166]) ).
fof(f6004,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1873,f1367]) ).
fof(f6005,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1873,f3294]) ).
fof(f6006,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1873,f1348]) ).
fof(f6007,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1873,f1150]) ).
fof(f6008,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1873,f3031]) ).
fof(f6009,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1873,f3034]) ).
fof(f6010,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1873,f3314]) ).
fof(f6011,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1873,f3427]) ).
fof(f6012,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1873,f3181]) ).
fof(f6013,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1873,f3029]) ).
fof(f6014,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1873,f3292]) ).
fof(f6015,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1873,f3180]) ).
fof(f6016,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1873,f3305]) ).
fof(f6017,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1873,f1127]) ).
fof(f6018,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1873,f1171]) ).
fof(f6019,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1873,f1146]) ).
fof(f6020,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1873,f1132]) ).
fof(f6021,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1873,f1149]) ).
fof(f6022,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1873,f1165]) ).
fof(f6023,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1873,f1143]) ).
fof(f6024,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1873,f3020]) ).
fof(f6025,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1873,f3033]) ).
fof(f6026,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1873,f3296]) ).
fof(f6027,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1873,f3285]) ).
fof(f6028,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1873,f1044]) ).
fof(f6029,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1873,f486]) ).
fof(f6030,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1873,f497]) ).
fof(f6031,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1873,f398]) ).
fof(f6032,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1873,f475]) ).
fof(f6033,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1873,f409]) ).
fof(f6034,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1873,f508]) ).
fof(f6035,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1873,f420]) ).
fof(f6036,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1873,f431]) ).
fof(f6037,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1873,f734]) ).
fof(f6038,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1873,f756]) ).
fof(f6039,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1873,f745]) ).
fof(f6040,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1873,f1264]) ).
fof(f6041,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1873,f767]) ).
fof(f6042,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1873,f3295]) ).
fof(f6043,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1873,f1248]) ).
fof(f6044,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1873,f442]) ).
fof(f6045,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1873,f387]) ).
fof(f6046,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1873,f3032]) ).
fof(f6047,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1873,f464]) ).
fof(f6048,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1873,f453]) ).
fof(f6049,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1873,f519]) ).
fof(f6050,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1873,f3447]) ).
fof(f6051,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1872,f4864]) ).
fof(f6052,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1872,f4848]) ).
fof(f6053,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1872,f4751]) ).
fof(f6054,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1872,f2962]) ).
fof(f6055,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1872,f723]) ).
fof(f6056,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(strict_equiv(sK60_skl,sK61_skl),X2))) ),
inference(resolution,[status(thm)],[f1872,f1194]) ).
fof(f6057,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1872,f3293]) ).
fof(f6058,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1872,f1179]) ).
fof(f6059,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1872,f3030]) ).
fof(f6060,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1872,f1144]) ).
fof(f6061,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1872,f1166]) ).
fof(f6062,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1872,f1367]) ).
fof(f6063,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1872,f3294]) ).
fof(f6064,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1872,f1348]) ).
fof(f6065,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1872,f1150]) ).
fof(f6066,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1872,f3031]) ).
fof(f6067,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1872,f3034]) ).
fof(f6068,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1872,f3314]) ).
fof(f6069,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1872,f3427]) ).
fof(f6070,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1872,f3181]) ).
fof(f6071,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1872,f3029]) ).
fof(f6072,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1872,f3292]) ).
fof(f6073,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1872,f3180]) ).
fof(f6074,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1872,f3305]) ).
fof(f6075,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1872,f1127]) ).
fof(f6076,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1872,f1171]) ).
fof(f6077,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1872,f1146]) ).
fof(f6078,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1872,f1132]) ).
fof(f6079,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1872,f1149]) ).
fof(f6080,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1872,f1165]) ).
fof(f6081,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1872,f1143]) ).
fof(f6082,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1872,f3020]) ).
fof(f6083,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1872,f3033]) ).
fof(f6084,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1872,f3296]) ).
fof(f6085,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1872,f3285]) ).
fof(f6086,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1872,f1044]) ).
fof(f6087,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1872,f486]) ).
fof(f6088,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1872,f497]) ).
fof(f6089,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1872,f398]) ).
fof(f6090,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1872,f475]) ).
fof(f6091,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1872,f409]) ).
fof(f6092,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1872,f508]) ).
fof(f6093,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1872,f420]) ).
fof(f6094,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1872,f431]) ).
fof(f6095,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1872,f734]) ).
fof(f6096,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1872,f756]) ).
fof(f6097,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1872,f745]) ).
fof(f6098,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1872,f1264]) ).
fof(f6099,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1872,f767]) ).
fof(f6100,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1872,f3295]) ).
fof(f6101,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1872,f1248]) ).
fof(f6102,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1872,f442]) ).
fof(f6103,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1872,f387]) ).
fof(f6104,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1872,f3032]) ).
fof(f6105,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1872,f464]) ).
fof(f6106,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1872,f453]) ).
fof(f6107,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1872,f519]) ).
fof(f6108,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1872,f3447]) ).
fof(f6111,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3443,f1872]) ).
fof(f6112,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3443,f1873]) ).
fof(f6113,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3443,f1874]) ).
fof(f6114,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3443,f1875]) ).
fof(f6115,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(X3,implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f3443,f1876]) ).
fof(f6116,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(X3,implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f3443,f1877]) ).
fof(f6117,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3443,f1878]) ).
fof(f6118,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3443,f1879]) ).
fof(f6119,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3443,f1880]) ).
fof(f6120,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3443,f1881]) ).
fof(f6121,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3443,f1882]) ).
fof(f6122,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3443,f1883]) ).
fof(f6123,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3443,f1884]) ).
fof(f6124,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3443,f1885]) ).
fof(f6125,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3443,f3015]) ).
fof(f6126,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,implies(X2,X2))),X0))) ),
inference(resolution,[status(thm)],[f3443,f1208]) ).
fof(f6127,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(X0,implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3443,f1152]) ).
fof(f6128,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3443,f1148]) ).
fof(f6129,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(implies(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3443,f1164]) ).
fof(f6130,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(implies(X0,implies(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f3443,f1142]) ).
fof(f6131,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(implies(X0,implies(X1,X1))),necessarily(implies(X0,implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3443,f3013]) ).
fof(f6132,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(implies(X0,implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3443,f666]) ).
fof(f6133,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(implies(X1,implies(X2,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3443,f700]) ).
fof(f6134,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(X0,implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3443]) ).
fof(f6135,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(X0,or(X1,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1047,f3443]) ).
fof(f6136,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),possibly(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f1871,f4864]) ).
fof(f6137,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),possibly(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f1871,f4848]) ).
fof(f6138,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),possibly(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f1871,f4751]) ).
fof(f6139,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1871,f2962]) ).
fof(f6140,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1871,f723]) ).
fof(f6141,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(strict_equiv(sK60_skl,sK61_skl),X1))) ),
inference(resolution,[status(thm)],[f1871,f1194]) ).
fof(f6142,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f1871,f3293]) ).
fof(f6143,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(implies(necessarily(X1),X1),X2))) ),
inference(resolution,[status(thm)],[f1871,f1179]) ).
fof(f6144,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f1871,f3030]) ).
fof(f6145,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f1871,f1144]) ).
fof(f6146,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1871,f1166]) ).
fof(f6147,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1871,f1367]) ).
fof(f6148,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1871,f3294]) ).
fof(f6149,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1871,f1348]) ).
fof(f6150,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1871,f1150]) ).
fof(f6151,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1871,f3031]) ).
fof(f6152,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f1871,f3034]) ).
fof(f6153,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(or(implies(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f1871,f3314]) ).
fof(f6154,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(or(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1871,f3427]) ).
fof(f6155,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f1871,f3181]) ).
fof(f6156,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f1871,f3029]) ).
fof(f6157,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f1871,f3292]) ).
fof(f6158,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f1871,f3180]) ).
fof(f6159,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f1871,f3305]) ).
fof(f6160,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1871,f1127]) ).
fof(f6161,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1871,f1171]) ).
fof(f6162,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1871,f1146]) ).
fof(f6163,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1871,f1132]) ).
fof(f6164,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1871,f3443]) ).
fof(f6165,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1871,f1149]) ).
fof(f6166,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1871,f1165]) ).
fof(f6167,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1871,f1143]) ).
fof(f6168,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(X1,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f1871,f3020]) ).
fof(f6169,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f1871,f3033]) ).
fof(f6170,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f1871,f3296]) ).
fof(f6171,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f1871,f3285]) ).
fof(f6172,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1871,f1044]) ).
fof(f6173,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1871,f486]) ).
fof(f6174,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1871,f497]) ).
fof(f6175,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(implies(X1,implies(X1,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1871,f398]) ).
fof(f6176,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))))) ),
inference(resolution,[status(thm)],[f1871,f475]) ).
fof(f6177,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f1871,f409]) ).
fof(f6178,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))) ),
inference(resolution,[status(thm)],[f1871,f508]) ).
fof(f6179,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f1871,f420]) ).
fof(f6180,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f1871,f431]) ).
fof(f6181,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1871,f734]) ).
fof(f6182,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(necessarily(X1),necessarily(necessarily(X1))))) ),
inference(resolution,[status(thm)],[f1871,f756]) ).
fof(f6183,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f1871,f745]) ).
fof(f6184,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1871,f1264]) ).
fof(f6185,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,necessarily(possibly(X1))))) ),
inference(resolution,[status(thm)],[f1871,f767]) ).
fof(f6186,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1871,f3295]) ).
fof(f6187,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1871,f1248]) ).
fof(f6188,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,implies(X2,and(X1,X2))))) ),
inference(resolution,[status(thm)],[f1871,f442]) ).
fof(f6189,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1871,f387]) ).
fof(f6190,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1871,f3032]) ).
fof(f6191,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1871,f464]) ).
fof(f6192,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1871,f453]) ).
fof(f6193,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f1871,f519]) ).
fof(f6194,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,X1))) ),
inference(resolution,[status(thm)],[f1871,f3447]) ).
fof(f6196,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(necessarily(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3302,f1871]) ).
fof(f6197,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3302,f1872]) ).
fof(f6198,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3302,f1873]) ).
fof(f6199,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3302,f1874]) ).
fof(f6200,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3302,f1875]) ).
fof(f6201,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(necessarily(equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3302,f1876]) ).
fof(f6202,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(necessarily(equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3302,f1877]) ).
fof(f6203,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3302,f1878]) ).
fof(f6204,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3302,f1879]) ).
fof(f6205,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3302,f1880]) ).
fof(f6206,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3302,f1881]) ).
fof(f6207,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3302,f1882]) ).
fof(f6208,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3302,f1883]) ).
fof(f6209,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3302,f1884]) ).
fof(f6210,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(necessarily(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3302,f1885]) ).
fof(f6211,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(necessarily(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3302,f3015]) ).
fof(f6212,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(or(necessarily(equiv(X1,X1)),X2),X0))) ),
inference(resolution,[status(thm)],[f3302,f1208]) ).
fof(f6213,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(or(necessarily(equiv(X0,X0)),X1)))) ),
inference(resolution,[status(thm)],[f3302,f1152]) ).
fof(f6214,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,or(necessarily(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3302,f1148]) ).
fof(f6215,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,or(necessarily(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3302,f1164]) ).
fof(f6216,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(necessarily(equiv(X0,X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f3302,f1142]) ).
fof(f6217,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(or(necessarily(equiv(X0,X0)),X1),or(necessarily(equiv(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f3302,f3013]) ).
fof(f6218,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(necessarily(equiv(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f3302,f666]) ).
fof(f6219,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(or(necessarily(equiv(X1,X1)),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3302,f700]) ).
fof(f6221,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(necessarily(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3177,f1871]) ).
fof(f6222,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3177,f1872]) ).
fof(f6223,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3177,f1873]) ).
fof(f6224,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3177,f1874]) ).
fof(f6225,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3177,f1875]) ).
fof(f6226,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(necessarily(implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3177,f1876]) ).
fof(f6227,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(necessarily(implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3177,f1877]) ).
fof(f6228,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3177,f1878]) ).
fof(f6229,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3177,f1879]) ).
fof(f6230,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3177,f1880]) ).
fof(f6231,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3177,f1881]) ).
fof(f6232,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3177,f1882]) ).
fof(f6233,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3177,f1883]) ).
fof(f6234,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3177,f1884]) ).
fof(f6235,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(necessarily(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3177,f1885]) ).
fof(f6236,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(necessarily(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3177,f3015]) ).
fof(f6237,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(necessarily(implies(X1,X1)),X2),X0))) ),
inference(resolution,[status(thm)],[f3177,f1208]) ).
fof(f6238,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(necessarily(implies(X0,X0)),X1)))) ),
inference(resolution,[status(thm)],[f3177,f1152]) ).
fof(f6239,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(necessarily(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3177,f1148]) ).
fof(f6240,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(necessarily(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3177,f1164]) ).
fof(f6241,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(necessarily(implies(X0,X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f3177,f1142]) ).
fof(f6242,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(necessarily(implies(X0,X0)),X1),or(necessarily(implies(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f3177,f3013]) ).
fof(f6243,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(necessarily(implies(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f3177,f666]) ).
fof(f6244,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(necessarily(implies(X1,X1)),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3177,f700]) ).
fof(f6247,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(or(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f3186,f1871]) ).
fof(f6248,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f3186,f1872]) ).
fof(f6249,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f3186,f1873]) ).
fof(f6250,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f3186,f1874]) ).
fof(f6251,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f3186,f1875]) ).
fof(f6252,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(or(X3,not(X3)),X4))) ),
inference(resolution,[status(thm)],[f3186,f1876]) ).
fof(f6253,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(or(X3,not(X3)),X4))) ),
inference(resolution,[status(thm)],[f3186,f1877]) ).
fof(f6254,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f3186,f1878]) ).
fof(f6255,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f3186,f1879]) ).
fof(f6256,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f3186,f1880]) ).
fof(f6257,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f3186,f1881]) ).
fof(f6258,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f3186,f1882]) ).
fof(f6259,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f3186,f1883]) ).
fof(f6260,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f3186,f1884]) ).
fof(f6261,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(or(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f3186,f1885]) ).
fof(f6262,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(or(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f3186,f3015]) ).
fof(f6263,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(or(X1,not(X1)),X2),X0))) ),
inference(resolution,[status(thm)],[f3186,f1208]) ).
fof(f6264,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(or(X0,not(X0)),X1)))) ),
inference(resolution,[status(thm)],[f3186,f1152]) ).
fof(f6265,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(or(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f3186,f1148]) ).
fof(f6266,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(or(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f3186,f1164]) ).
fof(f6267,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(or(X0,not(X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f3186,f1142]) ).
fof(f6268,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(or(X0,not(X0)),X1),or(or(X0,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f3186,f3013]) ).
fof(f6270,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(or(X1,not(X1)),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3186,f700]) ).
fof(f6275,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3303,f1871]) ).
fof(f6276,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3303,f1872]) ).
fof(f6277,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3303,f1873]) ).
fof(f6278,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3303,f1874]) ).
fof(f6279,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3303,f1875]) ).
fof(f6280,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,necessarily(equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f3303,f1876]) ).
fof(f6281,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,necessarily(equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f3303,f1877]) ).
fof(f6282,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3303,f1878]) ).
fof(f6283,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3303,f1879]) ).
fof(f6284,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3303,f1880]) ).
fof(f6285,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3303,f1881]) ).
fof(f6286,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3303,f1882]) ).
fof(f6287,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3303,f1883]) ).
fof(f6288,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3303,f1884]) ).
fof(f6289,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3303,f1885]) ).
fof(f6290,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3303,f3015]) ).
fof(f6291,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(or(X1,necessarily(equiv(X2,X2))),X0))) ),
inference(resolution,[status(thm)],[f3303,f1208]) ).
fof(f6292,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(or(X0,necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3303,f1152]) ).
fof(f6293,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,or(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3303,f1148]) ).
fof(f6294,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,or(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3303,f1164]) ).
fof(f6295,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(X0,necessarily(equiv(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f3303,f1142]) ).
fof(f6296,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(or(X0,necessarily(equiv(X1,X1))),or(X0,necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3303,f3013]) ).
fof(f6297,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(X0,necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3303,f666]) ).
fof(f6298,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(or(X1,necessarily(equiv(X2,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3303,f700]) ).
fof(f6299,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),possibly(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f1870,f4864]) ).
fof(f6300,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),possibly(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f1870,f4848]) ).
fof(f6301,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),possibly(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f1870,f4751]) ).
fof(f6302,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1870,f2962]) ).
fof(f6303,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1870,f723]) ).
fof(f6304,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(or(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f1870,f3186]) ).
fof(f6305,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(necessarily(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f1870,f3177]) ).
fof(f6306,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(necessarily(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f1870,f3302]) ).
fof(f6307,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(strict_equiv(sK60_skl,sK61_skl),X1))) ),
inference(resolution,[status(thm)],[f1870,f1194]) ).
fof(f6308,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f1870,f3293]) ).
fof(f6309,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(implies(necessarily(X1),X1),X2))) ),
inference(resolution,[status(thm)],[f1870,f1179]) ).
fof(f6310,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f1870,f3030]) ).
fof(f6311,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1870,f3303]) ).
fof(f6312,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f1870,f1144]) ).
fof(f6313,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1870,f1166]) ).
fof(f6314,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1870,f1367]) ).
fof(f6315,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1870,f3294]) ).
fof(f6316,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1870,f1348]) ).
fof(f6317,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1870,f1150]) ).
fof(f6318,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1870,f3031]) ).
fof(f6319,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f1870,f3034]) ).
fof(f6320,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(or(implies(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f1870,f3314]) ).
fof(f6321,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(or(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1870,f3427]) ).
fof(f6322,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f1870,f3181]) ).
fof(f6323,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f1870,f3029]) ).
fof(f6324,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f1870,f3292]) ).
fof(f6325,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f1870,f3180]) ).
fof(f6326,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f1870,f3305]) ).
fof(f6327,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1870,f1127]) ).
fof(f6328,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1870,f1171]) ).
fof(f6329,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1870,f1146]) ).
fof(f6330,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1870,f1132]) ).
fof(f6331,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1870,f3443]) ).
fof(f6332,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1870,f1149]) ).
fof(f6333,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1870,f1165]) ).
fof(f6334,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1870,f1143]) ).
fof(f6335,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(X1,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f1870,f3020]) ).
fof(f6336,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f1870,f3033]) ).
fof(f6337,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f1870,f3296]) ).
fof(f6338,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f1870,f3285]) ).
fof(f6339,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1870,f1044]) ).
fof(f6340,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1870,f486]) ).
fof(f6341,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1870,f497]) ).
fof(f6342,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(implies(X1,implies(X1,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1870,f398]) ).
fof(f6343,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))))) ),
inference(resolution,[status(thm)],[f1870,f475]) ).
fof(f6344,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f1870,f409]) ).
fof(f6345,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))) ),
inference(resolution,[status(thm)],[f1870,f508]) ).
fof(f6346,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f1870,f420]) ).
fof(f6347,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f1870,f431]) ).
fof(f6348,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1870,f734]) ).
fof(f6349,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(necessarily(X1),necessarily(necessarily(X1))))) ),
inference(resolution,[status(thm)],[f1870,f756]) ).
fof(f6350,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f1870,f745]) ).
fof(f6351,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1870,f1264]) ).
fof(f6352,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,necessarily(possibly(X1))))) ),
inference(resolution,[status(thm)],[f1870,f767]) ).
fof(f6353,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1870,f3295]) ).
fof(f6354,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1870,f1248]) ).
fof(f6355,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,implies(X2,and(X1,X2))))) ),
inference(resolution,[status(thm)],[f1870,f442]) ).
fof(f6356,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1870,f387]) ).
fof(f6357,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1870,f3032]) ).
fof(f6358,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1870,f464]) ).
fof(f6359,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1870,f453]) ).
fof(f6360,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f1870,f519]) ).
fof(f6361,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,X1))) ),
inference(resolution,[status(thm)],[f1870,f3447]) ).
fof(f6362,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1869,f4864]) ).
fof(f6363,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1869,f4848]) ).
fof(f6364,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1869,f4751]) ).
fof(f6365,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1869,f2962]) ).
fof(f6366,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1869,f723]) ).
fof(f6367,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f1869,f3186]) ).
fof(f6368,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1869,f3177]) ).
fof(f6369,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1869,f3302]) ).
fof(f6370,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(strict_equiv(sK60_skl,sK61_skl),X2))) ),
inference(resolution,[status(thm)],[f1869,f1194]) ).
fof(f6371,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1869,f3293]) ).
fof(f6372,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1869,f1179]) ).
fof(f6373,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1869,f3030]) ).
fof(f6374,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1869,f3303]) ).
fof(f6375,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1869,f1144]) ).
fof(f6376,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1869,f1166]) ).
fof(f6377,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1869,f1367]) ).
fof(f6378,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1869,f3294]) ).
fof(f6379,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1869,f1348]) ).
fof(f6380,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1869,f1150]) ).
fof(f6381,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1869,f3031]) ).
fof(f6382,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1869,f3034]) ).
fof(f6383,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1869,f3314]) ).
fof(f6384,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1869,f3427]) ).
fof(f6385,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1869,f3181]) ).
fof(f6386,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1869,f3029]) ).
fof(f6387,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1869,f3292]) ).
fof(f6388,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1869,f3180]) ).
fof(f6389,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1869,f3305]) ).
fof(f6390,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1869,f1127]) ).
fof(f6391,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1869,f1171]) ).
fof(f6392,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1869,f1146]) ).
fof(f6393,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1869,f1132]) ).
fof(f6394,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1869,f3443]) ).
fof(f6395,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1869,f1149]) ).
fof(f6396,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1869,f1165]) ).
fof(f6397,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1869,f1143]) ).
fof(f6398,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1869,f3020]) ).
fof(f6399,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1869,f3033]) ).
fof(f6400,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1869,f3296]) ).
fof(f6401,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1869,f3285]) ).
fof(f6402,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1869,f1044]) ).
fof(f6403,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1869,f486]) ).
fof(f6404,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1869,f497]) ).
fof(f6405,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1869,f398]) ).
fof(f6406,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1869,f475]) ).
fof(f6407,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1869,f409]) ).
fof(f6408,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1869,f508]) ).
fof(f6409,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1869,f420]) ).
fof(f6410,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1869,f431]) ).
fof(f6411,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1869,f734]) ).
fof(f6412,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1869,f756]) ).
fof(f6413,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1869,f745]) ).
fof(f6414,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1869,f1264]) ).
fof(f6415,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1869,f767]) ).
fof(f6416,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1869,f3295]) ).
fof(f6417,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1869,f1248]) ).
fof(f6418,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1869,f442]) ).
fof(f6419,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1869,f387]) ).
fof(f6420,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1869,f3032]) ).
fof(f6421,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1869,f464]) ).
fof(f6422,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1869,f453]) ).
fof(f6423,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1869,f519]) ).
fof(f6424,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1869,f3447]) ).
fof(f6425,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),possibly(or(X0,not(X0))))) ),
inference(resolution,[status(thm)],[f1868,f4864]) ).
fof(f6426,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),possibly(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f1868,f4848]) ).
fof(f6427,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),possibly(equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f1868,f4751]) ).
fof(f6428,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1868,f2962]) ).
fof(f6429,plain,
( ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1868,f723]) ).
fof(f6430,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(or(X0,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f1868,f3186]) ).
fof(f6431,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(necessarily(implies(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f1868,f3177]) ).
fof(f6432,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(necessarily(equiv(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f1868,f3302]) ).
fof(f6433,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(strict_equiv(sK60_skl,sK61_skl),X0))) ),
inference(resolution,[status(thm)],[f1868,f1194]) ).
fof(f6434,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(equiv(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f1868,f3293]) ).
fof(f6435,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(implies(necessarily(X0),X0),X1))) ),
inference(resolution,[status(thm)],[f1868,f1179]) ).
fof(f6436,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(implies(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f1868,f3030]) ).
fof(f6437,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f1868,f3303]) ).
fof(f6438,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,or(not(X0),X1)))) ),
inference(resolution,[status(thm)],[f1868,f1144]) ).
fof(f6439,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,or(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f1868,f1166]) ).
fof(f6440,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1868,f1367]) ).
fof(f6441,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f1868,f3294]) ).
fof(f6442,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1868,f1348]) ).
fof(f6443,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,implies(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f1868,f1150]) ).
fof(f6444,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f1868,f3031]) ).
fof(f6445,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f1868,f3034]) ).
fof(f6446,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(or(implies(X0,X0),X1)))) ),
inference(resolution,[status(thm)],[f1868,f3314]) ).
fof(f6447,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(or(X0,implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f1868,f3427]) ).
fof(f6448,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(or(X0,not(X0))))) ),
inference(resolution,[status(thm)],[f1868,f3181]) ).
fof(f6449,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(possibly(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f1868,f3029]) ).
fof(f6450,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(possibly(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f1868,f3292]) ).
fof(f6451,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(necessarily(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f1868,f3180]) ).
fof(f6452,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(necessarily(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f1868,f3305]) ).
fof(f6453,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1868,f1127]) ).
fof(f6454,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(and(X0,X1),X0)))) ),
inference(resolution,[status(thm)],[f1868,f1171]) ).
fof(f6455,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(and(X0,X1),X1)))) ),
inference(resolution,[status(thm)],[f1868,f1146]) ).
fof(f6456,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f1868,f1132]) ).
fof(f6457,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(X0,implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f1868,f3443]) ).
fof(f6458,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(X0,implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f1868,f1149]) ).
fof(f6459,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(X0,or(X1,X0))))) ),
inference(resolution,[status(thm)],[f1868,f1165]) ).
fof(f6460,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(X0,or(X0,X1))))) ),
inference(resolution,[status(thm)],[f1868,f1143]) ).
fof(f6461,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(X0,and(X0,X0))))) ),
inference(resolution,[status(thm)],[f1868,f3020]) ).
fof(f6462,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f1868,f3033]) ).
fof(f6463,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f1868,f3296]) ).
fof(f6464,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f1868,f3285]) ).
fof(f6465,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(or(X0,not(X1)),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1868,f1044]) ).
fof(f6466,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1868,f486]) ).
fof(f6467,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1868,f497]) ).
fof(f6468,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(implies(X0,implies(X0,X1)),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1868,f398]) ).
fof(f6469,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))) ),
inference(resolution,[status(thm)],[f1868,f475]) ).
fof(f6470,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f1868,f409]) ).
fof(f6471,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) ),
inference(resolution,[status(thm)],[f1868,f508]) ).
fof(f6472,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(and(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f1868,f420]) ).
fof(f6473,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(and(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f1868,f431]) ).
fof(f6474,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))) ),
inference(resolution,[status(thm)],[f1868,f734]) ).
fof(f6475,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(necessarily(X0),necessarily(necessarily(X0))))) ),
inference(resolution,[status(thm)],[f1868,f756]) ).
fof(f6476,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(necessarily(X0),X0))) ),
inference(resolution,[status(thm)],[f1868,f745]) ).
fof(f6477,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1868,f1264]) ).
fof(f6478,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,necessarily(possibly(X0))))) ),
inference(resolution,[status(thm)],[f1868,f767]) ).
fof(f6479,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f1868,f3295]) ).
fof(f6480,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1868,f1248]) ).
fof(f6481,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,implies(X1,and(X0,X1))))) ),
inference(resolution,[status(thm)],[f1868,f442]) ).
fof(f6482,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1868,f387]) ).
fof(f6483,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f1868,f3032]) ).
fof(f6484,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,or(X1,X0)))) ),
inference(resolution,[status(thm)],[f1868,f464]) ).
fof(f6485,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,or(X0,X1)))) ),
inference(resolution,[status(thm)],[f1868,f453]) ).
fof(f6486,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f1868,f519]) ).
fof(f6487,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f1868,f3447]) ).
fof(f6490,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1))))) ),
inference(resolution,[status(thm)],[f1216,f1868]) ).
fof(f6491,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1216,f1869]) ).
fof(f6492,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f1216,f1870]) ).
fof(f6493,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f1216,f1871]) ).
fof(f6494,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1216,f1872]) ).
fof(f6495,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1216,f1873]) ).
fof(f6496,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1216,f1874]) ).
fof(f6497,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1216,f1875]) ).
fof(f6498,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(implies(X3,implies(X3,X4)),implies(X3,X4))))) ),
inference(resolution,[status(thm)],[f1216,f1876]) ).
fof(f6499,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(implies(X3,implies(X3,X4)),implies(X3,X4))))) ),
inference(resolution,[status(thm)],[f1216,f1877]) ).
fof(f6500,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1216,f1878]) ).
fof(f6501,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1216,f1879]) ).
fof(f6502,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1216,f1880]) ).
fof(f6503,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1216,f1881]) ).
fof(f6504,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1216,f1882]) ).
fof(f6505,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1216,f1883]) ).
fof(f6506,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1216,f1884]) ).
fof(f6507,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f1216,f1885]) ).
fof(f6508,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f1216,f3015]) ).
fof(f6526,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3178,f1868]) ).
fof(f6527,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3178,f1869]) ).
fof(f6528,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3178,f1870]) ).
fof(f6529,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3178,f1871]) ).
fof(f6530,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3178,f1872]) ).
fof(f6531,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3178,f1873]) ).
fof(f6532,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3178,f1874]) ).
fof(f6533,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3178,f1875]) ).
fof(f6534,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,necessarily(implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f3178,f1876]) ).
fof(f6535,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,necessarily(implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f3178,f1877]) ).
fof(f6536,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3178,f1878]) ).
fof(f6537,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3178,f1879]) ).
fof(f6538,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3178,f1880]) ).
fof(f6539,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3178,f1881]) ).
fof(f6540,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3178,f1882]) ).
fof(f6541,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3178,f1883]) ).
fof(f6542,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3178,f1884]) ).
fof(f6543,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3178,f1885]) ).
fof(f6544,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3178,f3015]) ).
fof(f6545,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(X1,necessarily(implies(X2,X2))),X0))) ),
inference(resolution,[status(thm)],[f3178,f1208]) ).
fof(f6546,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(X0,necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3178,f1152]) ).
fof(f6547,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3178,f1148]) ).
fof(f6548,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3178,f1164]) ).
fof(f6549,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(X0,necessarily(implies(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f3178,f1142]) ).
fof(f6550,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(X0,necessarily(implies(X1,X1))),or(X0,necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3178,f3013]) ).
fof(f6551,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(X0,necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3178,f666]) ).
fof(f6552,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(X1,necessarily(implies(X2,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3178,f700]) ).
fof(f6556,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))))) ),
inference(resolution,[status(thm)],[f1161,f1868]) ).
fof(f6557,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1161,f1869]) ).
fof(f6558,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1161,f1870]) ).
fof(f6559,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1161,f1871]) ).
fof(f6560,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1161,f1872]) ).
fof(f6561,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1161,f1873]) ).
fof(f6562,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1161,f1874]) ).
fof(f6563,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1161,f1875]) ).
fof(f6564,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(implies(X3,X4),implies(implies(X4,X3),equiv(X3,X4)))))) ),
inference(resolution,[status(thm)],[f1161,f1876]) ).
fof(f6565,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(implies(X3,X4),implies(implies(X4,X3),equiv(X3,X4)))))) ),
inference(resolution,[status(thm)],[f1161,f1877]) ).
fof(f6566,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1161,f1878]) ).
fof(f6567,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1161,f1879]) ).
fof(f6568,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1161,f1880]) ).
fof(f6569,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1161,f1881]) ).
fof(f6570,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1161,f1882]) ).
fof(f6571,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1161,f1883]) ).
fof(f6572,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1161,f1884]) ).
fof(f6573,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1161,f1885]) ).
fof(f6574,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1161,f3015]) ).
fof(f6585,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3187,f1868]) ).
fof(f6586,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3187,f1869]) ).
fof(f6587,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3187,f1870]) ).
fof(f6588,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3187,f1871]) ).
fof(f6589,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3187,f1872]) ).
fof(f6590,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3187,f1873]) ).
fof(f6591,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3187,f1874]) ).
fof(f6592,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3187,f1875]) ).
fof(f6593,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,or(X4,not(X4))))) ),
inference(resolution,[status(thm)],[f3187,f1876]) ).
fof(f6594,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,or(X4,not(X4))))) ),
inference(resolution,[status(thm)],[f3187,f1877]) ).
fof(f6595,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3187,f1878]) ).
fof(f6596,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3187,f1879]) ).
fof(f6597,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3187,f1880]) ).
fof(f6598,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3187,f1881]) ).
fof(f6599,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3187,f1882]) ).
fof(f6600,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3187,f1883]) ).
fof(f6601,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3187,f1884]) ).
fof(f6602,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3187,f1885]) ).
fof(f6603,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3187,f3015]) ).
fof(f6604,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(X1,or(X2,not(X2))),X0))) ),
inference(resolution,[status(thm)],[f3187,f1208]) ).
fof(f6605,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(X0,or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f3187,f1152]) ).
fof(f6606,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3187,f1148]) ).
fof(f6607,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3187,f1164]) ).
fof(f6608,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(X0,or(X1,not(X1))),X2)) ),
inference(resolution,[status(thm)],[f3187,f1142]) ).
fof(f6609,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(X0,or(X1,not(X1))),or(X0,or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3187,f3013]) ).
fof(f6611,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(X1,or(X2,not(X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3187,f700]) ).
fof(f6616,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(implies(necessarily(equiv(X0,X0)),X1),equiv(X1,necessarily(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f3304,f1160]) ).
fof(f6618,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(implies(necessarily(equiv(X0,X0)),X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f3304,f1280]) ).
fof(f6619,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(equiv(X1,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3304,f342]) ).
fof(f6620,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3304,f1868]) ).
fof(f6621,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3304,f1869]) ).
fof(f6622,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3304,f1870]) ).
fof(f6623,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3304,f1871]) ).
fof(f6624,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3304,f1872]) ).
fof(f6625,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3304,f1873]) ).
fof(f6626,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3304,f1874]) ).
fof(f6627,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3304,f1875]) ).
fof(f6628,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,necessarily(equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f3304,f1876]) ).
fof(f6629,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,necessarily(equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f3304,f1877]) ).
fof(f6630,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3304,f1878]) ).
fof(f6631,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3304,f1879]) ).
fof(f6632,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3304,f1880]) ).
fof(f6633,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3304,f1881]) ).
fof(f6634,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3304,f1882]) ).
fof(f6635,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3304,f1883]) ).
fof(f6636,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f3304,f1884]) ).
fof(f6637,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3304,f1885]) ).
fof(f6638,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3304,f3015]) ).
fof(f6639,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(implies(X1,necessarily(equiv(X2,X2))),X0))) ),
inference(resolution,[status(thm)],[f3304,f1208]) ).
fof(f6640,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(implies(X0,necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3304,f1152]) ).
fof(f6641,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3304,f1148]) ).
fof(f6642,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,implies(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3304,f1164]) ).
fof(f6643,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(implies(X0,necessarily(equiv(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f3304,f1142]) ).
fof(f6644,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(equiv(X1,X1))),implies(X0,necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3304,f3013]) ).
fof(f6645,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(implies(X0,necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3304,f666]) ).
fof(f6646,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X1,necessarily(equiv(X2,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3304,f700]) ).
fof(f6647,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,necessarily(equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3304]) ).
fof(f6648,definition,
! [X1] :
( sQ194_spl
<=> is_a_theorem(necessarily(equiv(X1,X1))) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f6649,plain,
! [X0] :
( ~ sQ194_spl
| is_a_theorem(necessarily(equiv(X0,X0))) ),
inference(component_clause,[status(thm)],[f6648]) ).
fof(f6651,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ194_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f6619,f1270,f6648,f658,f518,f397,f665,f386,f341]) ).
fof(f6652,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(necessarily(implies(X0,X0)),X1),equiv(X1,necessarily(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f3179,f1160]) ).
fof(f6654,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(necessarily(implies(X0,X0)),X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f3179,f1280]) ).
fof(f6655,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(X1,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3179,f342]) ).
fof(f6656,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3179,f1868]) ).
fof(f6657,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3179,f1869]) ).
fof(f6658,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3179,f1870]) ).
fof(f6659,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3179,f1871]) ).
fof(f6660,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3179,f1872]) ).
fof(f6661,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3179,f1873]) ).
fof(f6662,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3179,f1874]) ).
fof(f6663,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3179,f1875]) ).
fof(f6664,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,necessarily(implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f3179,f1876]) ).
fof(f6665,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,necessarily(implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f3179,f1877]) ).
fof(f6666,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3179,f1878]) ).
fof(f6667,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3179,f1879]) ).
fof(f6668,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3179,f1880]) ).
fof(f6669,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3179,f1881]) ).
fof(f6670,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3179,f1882]) ).
fof(f6671,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3179,f1883]) ).
fof(f6672,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3179,f1884]) ).
fof(f6673,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3179,f1885]) ).
fof(f6674,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3179,f3015]) ).
fof(f6675,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(implies(X1,necessarily(implies(X2,X2))),X0))) ),
inference(resolution,[status(thm)],[f3179,f1208]) ).
fof(f6676,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(implies(X0,necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3179,f1152]) ).
fof(f6677,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3179,f1148]) ).
fof(f6678,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3179,f1164]) ).
fof(f6679,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(implies(X0,necessarily(implies(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f3179,f1142]) ).
fof(f6680,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(implies(X1,X1))),implies(X0,necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3179,f3013]) ).
fof(f6681,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(X0,necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3179,f666]) ).
fof(f6682,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X1,necessarily(implies(X2,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3179,f700]) ).
fof(f6683,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3179]) ).
fof(f6685,definition,
! [X1] :
( sQ195_spl
<=> is_a_theorem(necessarily(implies(X1,X1))) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f6686,plain,
! [X0] :
( ~ sQ195_spl
| is_a_theorem(necessarily(implies(X0,X0))) ),
inference(component_clause,[status(thm)],[f6685]) ).
fof(f6688,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| sQ195_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f6655,f1270,f6685,f397,f665,f386,f341]) ).
fof(f6689,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(or(X0,not(X0)),X1),equiv(X1,or(X0,not(X0))))) ),
inference(resolution,[status(thm)],[f3188,f1160]) ).
fof(f6691,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(or(X0,not(X0)),X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f3188,f1280]) ).
fof(f6692,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(or(X1,not(X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3188,f342]) ).
fof(f6693,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3188,f1868]) ).
fof(f6694,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3188,f1869]) ).
fof(f6695,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3188,f1870]) ).
fof(f6696,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3188,f1871]) ).
fof(f6697,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3188,f1872]) ).
fof(f6698,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3188,f1873]) ).
fof(f6699,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3188,f1874]) ).
fof(f6700,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3188,f1875]) ).
fof(f6701,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,or(X4,not(X4))))) ),
inference(resolution,[status(thm)],[f3188,f1876]) ).
fof(f6702,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,or(X4,not(X4))))) ),
inference(resolution,[status(thm)],[f3188,f1877]) ).
fof(f6703,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3188,f1878]) ).
fof(f6704,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3188,f1879]) ).
fof(f6705,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3188,f1880]) ).
fof(f6706,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3188,f1881]) ).
fof(f6707,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3188,f1882]) ).
fof(f6708,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3188,f1883]) ).
fof(f6709,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f3188,f1884]) ).
fof(f6710,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3188,f1885]) ).
fof(f6711,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3188,f3015]) ).
fof(f6712,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(implies(X1,or(X2,not(X2))),X0))) ),
inference(resolution,[status(thm)],[f3188,f1208]) ).
fof(f6713,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(implies(X0,or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f3188,f1152]) ).
fof(f6714,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3188,f1148]) ).
fof(f6715,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3188,f1164]) ).
fof(f6716,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(or(implies(X0,or(X1,not(X1))),X2)) ),
inference(resolution,[status(thm)],[f3188,f1142]) ).
fof(f6717,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,not(X1))),implies(X0,or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3188,f3013]) ).
fof(f6719,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X1,or(X2,not(X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3188,f700]) ).
fof(f6720,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(X1,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3188]) ).
fof(f6723,definition,
! [X1] :
( sQ196_spl
<=> is_a_theorem(or(X1,not(X1))) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f6724,plain,
! [X0] :
( ~ sQ196_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(component_clause,[status(thm)],[f6723]) ).
fof(f6726,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| sQ196_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f6692,f1270,f6723,f397,f644,f630,f386,f341]) ).
fof(f6731,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1)))))) ),
inference(resolution,[status(thm)],[f1205,f1868]) ).
fof(f6732,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1205,f1869]) ).
fof(f6733,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2)))))) ),
inference(resolution,[status(thm)],[f1205,f1870]) ).
fof(f6734,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2)))))) ),
inference(resolution,[status(thm)],[f1205,f1871]) ).
fof(f6735,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1205,f1872]) ).
fof(f6736,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1205,f1873]) ).
fof(f6737,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1205,f1874]) ).
fof(f6738,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1205,f1875]) ).
fof(f6739,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(implies(X3,X4),implies(implies(X5,X4),implies(or(X3,X5),X4)))))) ),
inference(resolution,[status(thm)],[f1205,f1876]) ).
fof(f6740,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(implies(X3,X4),implies(implies(X5,X4),implies(or(X3,X5),X4)))))) ),
inference(resolution,[status(thm)],[f1205,f1877]) ).
fof(f6741,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1205,f1878]) ).
fof(f6742,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1205,f1879]) ).
fof(f6743,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1205,f1880]) ).
fof(f6744,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1205,f1881]) ).
fof(f6745,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1205,f1882]) ).
fof(f6746,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1205,f1883]) ).
fof(f6747,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1205,f1884]) ).
fof(f6748,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2)))))) ),
inference(resolution,[status(thm)],[f1205,f1885]) ).
fof(f6749,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2)))))) ),
inference(resolution,[status(thm)],[f1205,f3015]) ).
fof(f6762,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))) ),
inference(resolution,[status(thm)],[f1283,f1868]) ).
fof(f6763,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1283,f1869]) ).
fof(f6764,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))))) ),
inference(resolution,[status(thm)],[f1283,f1870]) ).
fof(f6765,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))))) ),
inference(resolution,[status(thm)],[f1283,f1871]) ).
fof(f6766,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1283,f1872]) ).
fof(f6767,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1283,f1873]) ).
fof(f6768,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1283,f1874]) ).
fof(f6769,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1283,f1875]) ).
fof(f6770,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(implies(X3,X4),implies(implies(X4,X5),implies(X3,X5)))))) ),
inference(resolution,[status(thm)],[f1283,f1876]) ).
fof(f6771,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(implies(X3,X4),implies(implies(X4,X5),implies(X3,X5)))))) ),
inference(resolution,[status(thm)],[f1283,f1877]) ).
fof(f6772,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1283,f1878]) ).
fof(f6773,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1283,f1879]) ).
fof(f6774,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1283,f1880]) ).
fof(f6775,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1283,f1881]) ).
fof(f6776,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1283,f1882]) ).
fof(f6777,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1283,f1883]) ).
fof(f6778,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1283,f1884]) ).
fof(f6779,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))))) ),
inference(resolution,[status(thm)],[f1283,f1885]) ).
fof(f6780,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))))) ),
inference(resolution,[status(thm)],[f1283,f3015]) ).
fof(f6796,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(equiv(X0,X1),implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f1168,f1868]) ).
fof(f6797,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1168,f1869]) ).
fof(f6798,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(equiv(X1,X2),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1168,f1870]) ).
fof(f6799,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(equiv(X1,X2),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1168,f1871]) ).
fof(f6800,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1168,f1872]) ).
fof(f6801,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1168,f1873]) ).
fof(f6802,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1168,f1874]) ).
fof(f6803,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1168,f1875]) ).
fof(f6804,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(equiv(X3,X4),implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1168,f1876]) ).
fof(f6805,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(equiv(X3,X4),implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1168,f1877]) ).
fof(f6806,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1168,f1878]) ).
fof(f6807,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1168,f1879]) ).
fof(f6808,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1168,f1880]) ).
fof(f6809,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1168,f1881]) ).
fof(f6810,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1168,f1882]) ).
fof(f6811,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1168,f1883]) ).
fof(f6812,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1168,f1884]) ).
fof(f6813,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(equiv(X1,X2),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1168,f1885]) ).
fof(f6814,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(equiv(X1,X2),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1168,f3015]) ).
fof(f6826,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(equiv(X0,X1),implies(X0,X1))))) ),
inference(resolution,[status(thm)],[f1201,f1868]) ).
fof(f6827,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1201,f1869]) ).
fof(f6828,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(equiv(X1,X2),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f1201,f1870]) ).
fof(f6829,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(equiv(X1,X2),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f1201,f1871]) ).
fof(f6830,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1201,f1872]) ).
fof(f6831,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1201,f1873]) ).
fof(f6832,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1201,f1874]) ).
fof(f6833,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1201,f1875]) ).
fof(f6834,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(equiv(X3,X4),implies(X3,X4))))) ),
inference(resolution,[status(thm)],[f1201,f1876]) ).
fof(f6835,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(equiv(X3,X4),implies(X3,X4))))) ),
inference(resolution,[status(thm)],[f1201,f1877]) ).
fof(f6836,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1201,f1878]) ).
fof(f6837,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1201,f1879]) ).
fof(f6838,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1201,f1880]) ).
fof(f6839,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1201,f1881]) ).
fof(f6840,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1201,f1882]) ).
fof(f6841,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1201,f1883]) ).
fof(f6842,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1201,f1884]) ).
fof(f6843,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(equiv(X1,X2),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f1201,f1885]) ).
fof(f6844,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(equiv(X1,X2),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f1201,f3015]) ).
fof(f6855,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(or(equiv(X0,X0),X1)))) ),
inference(resolution,[status(thm)],[f4559,f1868]) ).
fof(f6856,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4559,f1869]) ).
fof(f6857,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(or(equiv(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f4559,f1870]) ).
fof(f6858,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(or(equiv(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f4559,f1871]) ).
fof(f6859,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4559,f1872]) ).
fof(f6860,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4559,f1873]) ).
fof(f6861,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4559,f1874]) ).
fof(f6862,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4559,f1875]) ).
fof(f6863,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(or(equiv(X3,X3),X4)))) ),
inference(resolution,[status(thm)],[f4559,f1876]) ).
fof(f6864,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(or(equiv(X3,X3),X4)))) ),
inference(resolution,[status(thm)],[f4559,f1877]) ).
fof(f6865,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4559,f1878]) ).
fof(f6866,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4559,f1879]) ).
fof(f6867,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4559,f1880]) ).
fof(f6868,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4559,f1881]) ).
fof(f6869,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4559,f1882]) ).
fof(f6870,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4559,f1883]) ).
fof(f6871,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4559,f1884]) ).
fof(f6872,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(or(equiv(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f4559,f1885]) ).
fof(f6873,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(or(equiv(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f4559,f3015]) ).
fof(f6874,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(necessarily(or(equiv(X1,X1),X2)),X0))) ),
inference(resolution,[status(thm)],[f4559,f1208]) ).
fof(f6875,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(necessarily(or(equiv(X0,X0),X1))))) ),
inference(resolution,[status(thm)],[f4559,f1152]) ).
fof(f6876,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,necessarily(or(equiv(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f4559,f1148]) ).
fof(f6877,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,necessarily(or(equiv(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f4559,f1164]) ).
fof(f6878,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(or(equiv(X0,X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f4559,f1142]) ).
fof(f6879,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(or(equiv(X0,X0),X1)),necessarily(or(equiv(X0,X0),X1)))) ),
inference(resolution,[status(thm)],[f4559,f3013]) ).
fof(f6880,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(necessarily(or(equiv(X0,X0),X1)))) ),
inference(resolution,[status(thm)],[f4559,f666]) ).
fof(f6881,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(or(equiv(X1,X1),X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4559,f700]) ).
fof(f6884,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(or(X0,not(X1)),implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f1230,f1868]) ).
fof(f6885,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1230,f1869]) ).
fof(f6886,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(or(X1,not(X2)),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1230,f1870]) ).
fof(f6887,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(or(X1,not(X2)),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1230,f1871]) ).
fof(f6888,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1230,f1872]) ).
fof(f6889,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1230,f1873]) ).
fof(f6890,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1230,f1874]) ).
fof(f6891,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1230,f1875]) ).
fof(f6892,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(or(X3,not(X4)),implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1230,f1876]) ).
fof(f6893,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(or(X3,not(X4)),implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1230,f1877]) ).
fof(f6894,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1230,f1878]) ).
fof(f6895,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1230,f1879]) ).
fof(f6896,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1230,f1880]) ).
fof(f6897,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1230,f1881]) ).
fof(f6898,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1230,f1882]) ).
fof(f6899,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1230,f1883]) ).
fof(f6900,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1230,f1884]) ).
fof(f6901,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(or(X1,not(X2)),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1230,f1885]) ).
fof(f6902,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(or(X1,not(X2)),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1230,f3015]) ).
fof(f6915,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(or(X0,equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4565,f1868]) ).
fof(f6916,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4565,f1869]) ).
fof(f6917,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(or(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4565,f1870]) ).
fof(f6918,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(or(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4565,f1871]) ).
fof(f6919,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4565,f1872]) ).
fof(f6920,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4565,f1873]) ).
fof(f6921,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4565,f1874]) ).
fof(f6922,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4565,f1875]) ).
fof(f6923,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(or(X3,equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f4565,f1876]) ).
fof(f6924,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(or(X3,equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f4565,f1877]) ).
fof(f6925,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4565,f1878]) ).
fof(f6926,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4565,f1879]) ).
fof(f6927,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4565,f1880]) ).
fof(f6928,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4565,f1881]) ).
fof(f6929,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4565,f1882]) ).
fof(f6930,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4565,f1883]) ).
fof(f6931,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4565,f1884]) ).
fof(f6932,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(or(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4565,f1885]) ).
fof(f6933,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(or(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4565,f3015]) ).
fof(f6934,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,equiv(X2,X2))),X0))) ),
inference(resolution,[status(thm)],[f4565,f1208]) ).
fof(f6935,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(necessarily(or(X0,equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4565,f1152]) ).
fof(f6936,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,necessarily(or(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4565,f1148]) ).
fof(f6937,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,necessarily(or(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4565,f1164]) ).
fof(f6938,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(or(X0,equiv(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f4565,f1142]) ).
fof(f6939,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(or(X0,equiv(X1,X1))),necessarily(or(X0,equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4565,f3013]) ).
fof(f6940,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(necessarily(or(X0,equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4565,f666]) ).
fof(f6941,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(or(X1,equiv(X2,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4565,f700]) ).
fof(f6944,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(X0,equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4574,f1868]) ).
fof(f6945,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4574,f1869]) ).
fof(f6946,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4574,f1870]) ).
fof(f6947,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4574,f1871]) ).
fof(f6948,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4574,f1872]) ).
fof(f6949,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4574,f1873]) ).
fof(f6950,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4574,f1874]) ).
fof(f6951,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4574,f1875]) ).
fof(f6952,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(X3,equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f4574,f1876]) ).
fof(f6953,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(X3,equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f4574,f1877]) ).
fof(f6954,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4574,f1878]) ).
fof(f6955,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4574,f1879]) ).
fof(f6956,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4574,f1880]) ).
fof(f6957,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4574,f1881]) ).
fof(f6958,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4574,f1882]) ).
fof(f6959,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4574,f1883]) ).
fof(f6960,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4574,f1884]) ).
fof(f6961,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4574,f1885]) ).
fof(f6962,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4574,f3015]) ).
fof(f6963,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,equiv(X2,X2))),X0))) ),
inference(resolution,[status(thm)],[f4574,f1208]) ).
fof(f6964,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(X0,equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4574,f1152]) ).
fof(f6965,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4574,f1148]) ).
fof(f6966,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,necessarily(implies(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4574,f1164]) ).
fof(f6967,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(implies(X0,equiv(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f4574,f1142]) ).
fof(f6968,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(implies(X0,equiv(X1,X1))),necessarily(implies(X0,equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4574,f3013]) ).
fof(f6969,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(necessarily(implies(X0,equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4574,f666]) ).
fof(f6970,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(implies(X1,equiv(X2,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4574,f700]) ).
fof(f6971,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(X0,equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f4574]) ).
fof(f6972,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(implies(possibly(equiv(X0,X0)),X1),equiv(X1,possibly(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f4820,f1160]) ).
fof(f6974,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(implies(possibly(equiv(X0,X0)),X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f4820,f1280]) ).
fof(f6975,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(possibly(equiv(X1,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4820,f342]) ).
fof(f6976,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4820,f1868]) ).
fof(f6977,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4820,f1869]) ).
fof(f6978,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4820,f1870]) ).
fof(f6979,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4820,f1871]) ).
fof(f6980,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4820,f1872]) ).
fof(f6981,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4820,f1873]) ).
fof(f6982,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4820,f1874]) ).
fof(f6983,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4820,f1875]) ).
fof(f6984,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,possibly(equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f4820,f1876]) ).
fof(f6985,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,possibly(equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f4820,f1877]) ).
fof(f6986,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4820,f1878]) ).
fof(f6987,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4820,f1879]) ).
fof(f6988,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4820,f1880]) ).
fof(f6989,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4820,f1881]) ).
fof(f6990,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4820,f1882]) ).
fof(f6991,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4820,f1883]) ).
fof(f6992,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4820,f1884]) ).
fof(f6993,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4820,f1885]) ).
fof(f6994,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4820,f3015]) ).
fof(f6995,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(implies(X1,possibly(equiv(X2,X2))),X0))) ),
inference(resolution,[status(thm)],[f4820,f1208]) ).
fof(f6996,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(implies(X0,possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4820,f1152]) ).
fof(f6997,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,implies(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4820,f1148]) ).
fof(f6998,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,implies(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4820,f1164]) ).
fof(f6999,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(implies(X0,possibly(equiv(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f4820,f1142]) ).
fof(f7000,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,possibly(equiv(X1,X1))),implies(X0,possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4820,f3013]) ).
fof(f7001,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(implies(X0,possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4820,f666]) ).
fof(f7002,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X1,possibly(equiv(X2,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4820,f700]) ).
fof(f7003,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,possibly(equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f4820]) ).
fof(f7004,definition,
! [X1] :
( sQ197_spl
<=> is_a_theorem(possibly(equiv(X1,X1))) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f7005,plain,
! [X0] :
( ~ sQ197_spl
| is_a_theorem(possibly(equiv(X0,X0))) ),
inference(component_clause,[status(thm)],[f7004]) ).
fof(f7007,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ197_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f6975,f1270,f7004,f658,f518,f397,f766,f744,f386,f341]) ).
fof(f7008,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4821,f1868]) ).
fof(f7009,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4821,f1869]) ).
fof(f7010,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4821,f1870]) ).
fof(f7011,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4821,f1871]) ).
fof(f7012,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4821,f1872]) ).
fof(f7013,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4821,f1873]) ).
fof(f7014,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4821,f1874]) ).
fof(f7015,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4821,f1875]) ).
fof(f7016,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,possibly(equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f4821,f1876]) ).
fof(f7017,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,possibly(equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f4821,f1877]) ).
fof(f7018,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4821,f1878]) ).
fof(f7019,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4821,f1879]) ).
fof(f7020,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4821,f1880]) ).
fof(f7021,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4821,f1881]) ).
fof(f7022,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4821,f1882]) ).
fof(f7023,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4821,f1883]) ).
fof(f7024,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4821,f1884]) ).
fof(f7025,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4821,f1885]) ).
fof(f7026,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4821,f3015]) ).
fof(f7027,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(or(X1,possibly(equiv(X2,X2))),X0))) ),
inference(resolution,[status(thm)],[f4821,f1208]) ).
fof(f7028,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(or(X0,possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4821,f1152]) ).
fof(f7029,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,or(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4821,f1148]) ).
fof(f7030,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,or(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4821,f1164]) ).
fof(f7031,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(X0,possibly(equiv(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f4821,f1142]) ).
fof(f7032,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(or(X0,possibly(equiv(X1,X1))),or(X0,possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4821,f3013]) ).
fof(f7033,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(X0,possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4821,f666]) ).
fof(f7034,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(or(X1,possibly(equiv(X2,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4821,f700]) ).
fof(f7037,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))))) ),
inference(resolution,[status(thm)],[f1158,f1868]) ).
fof(f7038,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1158,f1869]) ).
fof(f7039,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1158,f1870]) ).
fof(f7040,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1158,f1871]) ).
fof(f7041,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1158,f1872]) ).
fof(f7042,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1158,f1873]) ).
fof(f7043,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1158,f1874]) ).
fof(f7044,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1158,f1875]) ).
fof(f7045,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(necessarily(implies(X3,X4)),implies(necessarily(X3),necessarily(X4)))))) ),
inference(resolution,[status(thm)],[f1158,f1876]) ).
fof(f7046,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(necessarily(implies(X3,X4)),implies(necessarily(X3),necessarily(X4)))))) ),
inference(resolution,[status(thm)],[f1158,f1877]) ).
fof(f7047,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1158,f1878]) ).
fof(f7048,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1158,f1879]) ).
fof(f7049,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1158,f1880]) ).
fof(f7050,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1158,f1881]) ).
fof(f7051,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1158,f1882]) ).
fof(f7052,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1158,f1883]) ).
fof(f7053,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1158,f1884]) ).
fof(f7054,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1158,f1885]) ).
fof(f7055,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1158,f3015]) ).
fof(f7067,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(necessarily(X0),necessarily(necessarily(X0)))))) ),
inference(resolution,[status(thm)],[f1156,f1868]) ).
fof(f7068,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1156,f1869]) ).
fof(f7069,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(necessarily(X1),necessarily(necessarily(X1)))))) ),
inference(resolution,[status(thm)],[f1156,f1870]) ).
fof(f7070,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(necessarily(X1),necessarily(necessarily(X1)))))) ),
inference(resolution,[status(thm)],[f1156,f1871]) ).
fof(f7071,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1156,f1872]) ).
fof(f7072,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1156,f1873]) ).
fof(f7073,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1156,f1874]) ).
fof(f7074,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1156,f1875]) ).
fof(f7075,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(necessarily(X3),necessarily(necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1156,f1876]) ).
fof(f7076,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(necessarily(X3),necessarily(necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1156,f1877]) ).
fof(f7077,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1156,f1878]) ).
fof(f7078,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1156,f1879]) ).
fof(f7079,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1156,f1880]) ).
fof(f7080,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1156,f1881]) ).
fof(f7081,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1156,f1882]) ).
fof(f7082,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1156,f1883]) ).
fof(f7083,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1156,f1884]) ).
fof(f7084,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(necessarily(X1),necessarily(necessarily(X1)))))) ),
inference(resolution,[status(thm)],[f1156,f1885]) ).
fof(f7085,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ113_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(necessarily(X1),necessarily(necessarily(X1)))))) ),
inference(resolution,[status(thm)],[f1156,f3015]) ).
fof(f7096,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(X0,necessarily(possibly(X0)))))) ),
inference(resolution,[status(thm)],[f1153,f1868]) ).
fof(f7097,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1153,f1869]) ).
fof(f7098,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(X1,necessarily(possibly(X1)))))) ),
inference(resolution,[status(thm)],[f1153,f1870]) ).
fof(f7099,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(X1,necessarily(possibly(X1)))))) ),
inference(resolution,[status(thm)],[f1153,f1871]) ).
fof(f7100,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1153,f1872]) ).
fof(f7101,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1153,f1873]) ).
fof(f7102,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1153,f1874]) ).
fof(f7103,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1153,f1875]) ).
fof(f7104,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(X3,necessarily(possibly(X3)))))) ),
inference(resolution,[status(thm)],[f1153,f1876]) ).
fof(f7105,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(X3,necessarily(possibly(X3)))))) ),
inference(resolution,[status(thm)],[f1153,f1877]) ).
fof(f7106,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1153,f1878]) ).
fof(f7107,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1153,f1879]) ).
fof(f7108,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1153,f1880]) ).
fof(f7109,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1153,f1881]) ).
fof(f7110,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1153,f1882]) ).
fof(f7111,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1153,f1883]) ).
fof(f7112,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1153,f1884]) ).
fof(f7113,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(X1,necessarily(possibly(X1)))))) ),
inference(resolution,[status(thm)],[f1153,f1885]) ).
fof(f7114,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(X1,necessarily(possibly(X1)))))) ),
inference(resolution,[status(thm)],[f1153,f3015]) ).
fof(f7126,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(implies(X0,implies(X1,and(X0,X1)))))) ),
inference(resolution,[status(thm)],[f1210,f1868]) ).
fof(f7127,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1210,f1869]) ).
fof(f7128,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(implies(X1,implies(X2,and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1210,f1870]) ).
fof(f7129,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(implies(X1,implies(X2,and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1210,f1871]) ).
fof(f7130,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1210,f1872]) ).
fof(f7131,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1210,f1873]) ).
fof(f7132,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1210,f1874]) ).
fof(f7133,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1210,f1875]) ).
fof(f7134,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(implies(X3,implies(X4,and(X3,X4)))))) ),
inference(resolution,[status(thm)],[f1210,f1876]) ).
fof(f7135,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(implies(X3,implies(X4,and(X3,X4)))))) ),
inference(resolution,[status(thm)],[f1210,f1877]) ).
fof(f7136,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1210,f1878]) ).
fof(f7137,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1210,f1879]) ).
fof(f7138,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1210,f1880]) ).
fof(f7139,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1210,f1881]) ).
fof(f7140,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1210,f1882]) ).
fof(f7141,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1210,f1883]) ).
fof(f7142,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1210,f1884]) ).
fof(f7143,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(implies(X1,implies(X2,and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1210,f1885]) ).
fof(f7144,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(implies(X1,implies(X2,and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1210,f3015]) ).
fof(f7155,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f1210]) ).
fof(f7157,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(possibly(equiv(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f4822,f1868]) ).
fof(f7158,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4822,f1869]) ).
fof(f7159,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(possibly(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4822,f1870]) ).
fof(f7160,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(possibly(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4822,f1871]) ).
fof(f7161,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4822,f1872]) ).
fof(f7162,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4822,f1873]) ).
fof(f7163,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4822,f1874]) ).
fof(f7164,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4822,f1875]) ).
fof(f7165,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(possibly(equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4822,f1876]) ).
fof(f7166,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(possibly(equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4822,f1877]) ).
fof(f7167,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4822,f1878]) ).
fof(f7168,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4822,f1879]) ).
fof(f7169,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4822,f1880]) ).
fof(f7170,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4822,f1881]) ).
fof(f7171,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4822,f1882]) ).
fof(f7172,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4822,f1883]) ).
fof(f7173,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4822,f1884]) ).
fof(f7174,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(possibly(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4822,f1885]) ).
fof(f7175,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(possibly(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4822,f3015]) ).
fof(f7176,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(or(possibly(equiv(X1,X1)),X2),X0))) ),
inference(resolution,[status(thm)],[f4822,f1208]) ).
fof(f7177,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(or(possibly(equiv(X0,X0)),X1)))) ),
inference(resolution,[status(thm)],[f4822,f1152]) ).
fof(f7178,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,or(possibly(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4822,f1148]) ).
fof(f7179,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,or(possibly(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4822,f1164]) ).
fof(f7180,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(possibly(equiv(X0,X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f4822,f1142]) ).
fof(f7181,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(or(possibly(equiv(X0,X0)),X1),or(possibly(equiv(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f4822,f3013]) ).
fof(f7182,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(possibly(equiv(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f4822,f666]) ).
fof(f7183,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(or(possibly(equiv(X1,X1)),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4822,f700]) ).
fof(f7184,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,and(not(X0),not(X0))))) ),
inference(resolution,[status(thm)],[f3021,f1868]) ).
fof(f7185,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,and(not(X2),not(X2))))) ),
inference(resolution,[status(thm)],[f3021,f1869]) ).
fof(f7186,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,and(not(X1),not(X1))))) ),
inference(resolution,[status(thm)],[f3021,f1870]) ).
fof(f7187,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,and(not(X1),not(X1))))) ),
inference(resolution,[status(thm)],[f3021,f1871]) ).
fof(f7188,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,and(not(X2),not(X2))))) ),
inference(resolution,[status(thm)],[f3021,f1872]) ).
fof(f7189,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,and(not(X2),not(X2))))) ),
inference(resolution,[status(thm)],[f3021,f1873]) ).
fof(f7190,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,and(not(X2),not(X2))))) ),
inference(resolution,[status(thm)],[f3021,f1874]) ).
fof(f7191,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,and(not(X2),not(X2))))) ),
inference(resolution,[status(thm)],[f3021,f1875]) ).
fof(f7192,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,and(not(X3),not(X3))))) ),
inference(resolution,[status(thm)],[f3021,f1876]) ).
fof(f7193,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,and(not(X3),not(X3))))) ),
inference(resolution,[status(thm)],[f3021,f1877]) ).
fof(f7194,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,and(not(X2),not(X2))))) ),
inference(resolution,[status(thm)],[f3021,f1878]) ).
fof(f7195,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,and(not(X2),not(X2))))) ),
inference(resolution,[status(thm)],[f3021,f1879]) ).
fof(f7196,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,and(not(X2),not(X2))))) ),
inference(resolution,[status(thm)],[f3021,f1880]) ).
fof(f7197,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,and(not(X2),not(X2))))) ),
inference(resolution,[status(thm)],[f3021,f1881]) ).
fof(f7198,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,and(not(X2),not(X2))))) ),
inference(resolution,[status(thm)],[f3021,f1882]) ).
fof(f7199,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,and(not(X2),not(X2))))) ),
inference(resolution,[status(thm)],[f3021,f1883]) ).
fof(f7200,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,and(not(X2),not(X2))))) ),
inference(resolution,[status(thm)],[f3021,f1884]) ).
fof(f7201,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,and(not(X1),not(X1))))) ),
inference(resolution,[status(thm)],[f3021,f1885]) ).
fof(f7202,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,and(not(X1),not(X1))))) ),
inference(resolution,[status(thm)],[f3021,f3015]) ).
fof(f7223,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(possibly(implies(X0,X0)),X1),equiv(X1,possibly(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f4858,f1160]) ).
fof(f7225,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(possibly(implies(X0,X0)),X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f4858,f1280]) ).
fof(f7226,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(possibly(implies(X1,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4858,f342]) ).
fof(f7227,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f4858,f1868]) ).
fof(f7228,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4858,f1869]) ).
fof(f7229,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f4858,f1870]) ).
fof(f7230,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f4858,f1871]) ).
fof(f7231,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4858,f1872]) ).
fof(f7232,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4858,f1873]) ).
fof(f7233,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4858,f1874]) ).
fof(f7234,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4858,f1875]) ).
fof(f7235,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,possibly(implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f4858,f1876]) ).
fof(f7236,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,possibly(implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f4858,f1877]) ).
fof(f7237,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4858,f1878]) ).
fof(f7238,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4858,f1879]) ).
fof(f7239,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4858,f1880]) ).
fof(f7240,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4858,f1881]) ).
fof(f7241,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4858,f1882]) ).
fof(f7242,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4858,f1883]) ).
fof(f7243,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4858,f1884]) ).
fof(f7244,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f4858,f1885]) ).
fof(f7245,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f4858,f3015]) ).
fof(f7246,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(implies(X1,possibly(implies(X2,X2))),X0))) ),
inference(resolution,[status(thm)],[f4858,f1208]) ).
fof(f7247,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(implies(X0,possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4858,f1152]) ).
fof(f7248,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,implies(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f4858,f1148]) ).
fof(f7249,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f4858,f1164]) ).
fof(f7250,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(or(implies(X0,possibly(implies(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f4858,f1142]) ).
fof(f7251,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,possibly(implies(X1,X1))),implies(X0,possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f4858,f3013]) ).
fof(f7252,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(X0,possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f4858,f666]) ).
fof(f7253,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X1,possibly(implies(X2,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4858,f700]) ).
fof(f7254,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,possibly(implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f4858]) ).
fof(f7256,definition,
! [X1] :
( sQ198_spl
<=> is_a_theorem(possibly(implies(X1,X1))) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f7257,plain,
! [X0] :
( ~ sQ198_spl
| is_a_theorem(possibly(implies(X0,X0))) ),
inference(component_clause,[status(thm)],[f7256]) ).
fof(f7259,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| sQ198_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f7226,f1270,f7256,f397,f766,f744,f386,f341]) ).
fof(f7260,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f4859,f1868]) ).
fof(f7261,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4859,f1869]) ).
fof(f7262,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f4859,f1870]) ).
fof(f7263,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f4859,f1871]) ).
fof(f7264,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4859,f1872]) ).
fof(f7265,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4859,f1873]) ).
fof(f7266,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4859,f1874]) ).
fof(f7267,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4859,f1875]) ).
fof(f7268,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,possibly(implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f4859,f1876]) ).
fof(f7269,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,possibly(implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f4859,f1877]) ).
fof(f7270,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4859,f1878]) ).
fof(f7271,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4859,f1879]) ).
fof(f7272,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4859,f1880]) ).
fof(f7273,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4859,f1881]) ).
fof(f7274,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4859,f1882]) ).
fof(f7275,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4859,f1883]) ).
fof(f7276,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f4859,f1884]) ).
fof(f7277,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f4859,f1885]) ).
fof(f7278,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f4859,f3015]) ).
fof(f7279,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(X1,possibly(implies(X2,X2))),X0))) ),
inference(resolution,[status(thm)],[f4859,f1208]) ).
fof(f7280,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(X0,possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4859,f1152]) ).
fof(f7281,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f4859,f1148]) ).
fof(f7282,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f4859,f1164]) ).
fof(f7283,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(X0,possibly(implies(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f4859,f1142]) ).
fof(f7284,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(X0,possibly(implies(X1,X1))),or(X0,possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f4859,f3013]) ).
fof(f7285,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(X0,possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f4859,f666]) ).
fof(f7286,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(X1,possibly(implies(X2,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4859,f700]) ).
fof(f7289,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(possibly(implies(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f4860,f1868]) ).
fof(f7290,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4860,f1869]) ).
fof(f7291,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(possibly(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4860,f1870]) ).
fof(f7292,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(possibly(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4860,f1871]) ).
fof(f7293,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4860,f1872]) ).
fof(f7294,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4860,f1873]) ).
fof(f7295,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4860,f1874]) ).
fof(f7296,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4860,f1875]) ).
fof(f7297,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(possibly(implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4860,f1876]) ).
fof(f7298,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(possibly(implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4860,f1877]) ).
fof(f7299,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4860,f1878]) ).
fof(f7300,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4860,f1879]) ).
fof(f7301,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4860,f1880]) ).
fof(f7302,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4860,f1881]) ).
fof(f7303,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4860,f1882]) ).
fof(f7304,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4860,f1883]) ).
fof(f7305,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4860,f1884]) ).
fof(f7306,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(possibly(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4860,f1885]) ).
fof(f7307,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(possibly(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4860,f3015]) ).
fof(f7308,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(possibly(implies(X1,X1)),X2),X0))) ),
inference(resolution,[status(thm)],[f4860,f1208]) ).
fof(f7309,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(possibly(implies(X0,X0)),X1)))) ),
inference(resolution,[status(thm)],[f4860,f1152]) ).
fof(f7310,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(possibly(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4860,f1148]) ).
fof(f7311,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(possibly(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4860,f1164]) ).
fof(f7312,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(possibly(implies(X0,X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f4860,f1142]) ).
fof(f7313,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(possibly(implies(X0,X0)),X1),or(possibly(implies(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f4860,f3013]) ).
fof(f7314,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(possibly(implies(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f4860,f666]) ).
fof(f7315,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(possibly(implies(X1,X1)),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4860,f700]) ).
fof(f7317,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ185_spl
| ~ is_a_theorem(not(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f3057]) ).
fof(f7318,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,implies(X1,and(not(X0),X1))))) ),
inference(resolution,[status(thm)],[f1211,f1868]) ).
fof(f7319,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1211,f1869]) ).
fof(f7320,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,implies(X2,and(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1211,f1870]) ).
fof(f7321,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,implies(X2,and(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1211,f1871]) ).
fof(f7322,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1211,f1872]) ).
fof(f7323,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1211,f1873]) ).
fof(f7324,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1211,f1874]) ).
fof(f7325,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1211,f1875]) ).
fof(f7326,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,implies(X4,and(not(X3),X4))))) ),
inference(resolution,[status(thm)],[f1211,f1876]) ).
fof(f7327,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,implies(X4,and(not(X3),X4))))) ),
inference(resolution,[status(thm)],[f1211,f1877]) ).
fof(f7328,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1211,f1878]) ).
fof(f7329,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1211,f1879]) ).
fof(f7330,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1211,f1880]) ).
fof(f7331,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1211,f1881]) ).
fof(f7332,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1211,f1882]) ).
fof(f7333,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1211,f1883]) ).
fof(f7334,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1211,f1884]) ).
fof(f7335,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,implies(X2,and(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1211,f1885]) ).
fof(f7336,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,implies(X2,and(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1211,f3015]) ).
fof(f7350,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,necessarily(possibly(not(X0)))))) ),
inference(resolution,[status(thm)],[f1154,f1868]) ).
fof(f7351,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1154,f1869]) ).
fof(f7352,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,necessarily(possibly(not(X1)))))) ),
inference(resolution,[status(thm)],[f1154,f1870]) ).
fof(f7353,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,necessarily(possibly(not(X1)))))) ),
inference(resolution,[status(thm)],[f1154,f1871]) ).
fof(f7354,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1154,f1872]) ).
fof(f7355,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1154,f1873]) ).
fof(f7356,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1154,f1874]) ).
fof(f7357,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1154,f1875]) ).
fof(f7358,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,necessarily(possibly(not(X3)))))) ),
inference(resolution,[status(thm)],[f1154,f1876]) ).
fof(f7359,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,necessarily(possibly(not(X3)))))) ),
inference(resolution,[status(thm)],[f1154,f1877]) ).
fof(f7360,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1154,f1878]) ).
fof(f7361,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1154,f1879]) ).
fof(f7362,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1154,f1880]) ).
fof(f7363,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1154,f1881]) ).
fof(f7364,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1154,f1882]) ).
fof(f7365,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1154,f1883]) ).
fof(f7366,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1154,f1884]) ).
fof(f7367,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,necessarily(possibly(not(X1)))))) ),
inference(resolution,[status(thm)],[f1154,f1885]) ).
fof(f7368,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,necessarily(possibly(not(X1)))))) ),
inference(resolution,[status(thm)],[f1154,f3015]) ).
fof(f7385,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(necessarily(or(X0,X1)),implies(necessarily(not(X0)),necessarily(X1))))) ),
inference(resolution,[status(thm)],[f1159,f1868]) ).
fof(f7386,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1159,f1869]) ).
fof(f7387,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(necessarily(or(X1,X2)),implies(necessarily(not(X1)),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1159,f1870]) ).
fof(f7388,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(necessarily(or(X1,X2)),implies(necessarily(not(X1)),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1159,f1871]) ).
fof(f7389,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1159,f1872]) ).
fof(f7390,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1159,f1873]) ).
fof(f7391,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1159,f1874]) ).
fof(f7392,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1159,f1875]) ).
fof(f7393,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(necessarily(or(X3,X4)),implies(necessarily(not(X3)),necessarily(X4))))) ),
inference(resolution,[status(thm)],[f1159,f1876]) ).
fof(f7394,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(necessarily(or(X3,X4)),implies(necessarily(not(X3)),necessarily(X4))))) ),
inference(resolution,[status(thm)],[f1159,f1877]) ).
fof(f7395,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1159,f1878]) ).
fof(f7396,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1159,f1879]) ).
fof(f7397,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1159,f1880]) ).
fof(f7398,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1159,f1881]) ).
fof(f7399,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1159,f1882]) ).
fof(f7400,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1159,f1883]) ).
fof(f7401,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1159,f1884]) ).
fof(f7402,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(necessarily(or(X1,X2)),implies(necessarily(not(X1)),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1159,f1885]) ).
fof(f7403,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(necessarily(or(X1,X2)),implies(necessarily(not(X1)),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1159,f3015]) ).
fof(f7420,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1)))))) ),
inference(resolution,[status(thm)],[f1163,f1868]) ).
fof(f7421,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1163,f1869]) ).
fof(f7422,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f1163,f1870]) ).
fof(f7423,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f1163,f1871]) ).
fof(f7424,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1163,f1872]) ).
fof(f7425,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1163,f1873]) ).
fof(f7426,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1163,f1874]) ).
fof(f7427,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1163,f1875]) ).
fof(f7428,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(implies(X3,not(X4)),implies(or(X4,X3),equiv(X3,not(X4)))))) ),
inference(resolution,[status(thm)],[f1163,f1876]) ).
fof(f7429,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(X3,not(X4)),implies(or(X4,X3),equiv(X3,not(X4)))))) ),
inference(resolution,[status(thm)],[f1163,f1877]) ).
fof(f7430,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1163,f1878]) ).
fof(f7431,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1163,f1879]) ).
fof(f7432,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1163,f1880]) ).
fof(f7433,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1163,f1881]) ).
fof(f7434,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1163,f1882]) ).
fof(f7435,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1163,f1883]) ).
fof(f7436,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1163,f1884]) ).
fof(f7437,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f1163,f1885]) ).
fof(f7438,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f1163,f3015]) ).
fof(f7460,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ188_spl
| ~ is_a_theorem(not(or(X0,or(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1047,f3070]) ).
fof(f7465,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(implies(X0,not(X1)),implies(or(X1,X2),implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f1285,f1868]) ).
fof(f7466,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1285,f1869]) ).
fof(f7467,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f1285,f1870]) ).
fof(f7468,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f1285,f1871]) ).
fof(f7469,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1285,f1872]) ).
fof(f7470,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1285,f1873]) ).
fof(f7471,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1285,f1874]) ).
fof(f7472,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1285,f1875]) ).
fof(f7473,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(implies(X3,not(X4)),implies(or(X4,X5),implies(X3,X5))))) ),
inference(resolution,[status(thm)],[f1285,f1876]) ).
fof(f7474,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(X3,not(X4)),implies(or(X4,X5),implies(X3,X5))))) ),
inference(resolution,[status(thm)],[f1285,f1877]) ).
fof(f7475,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1285,f1878]) ).
fof(f7476,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1285,f1879]) ).
fof(f7477,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1285,f1880]) ).
fof(f7478,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1285,f1881]) ).
fof(f7479,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1285,f1882]) ).
fof(f7480,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1285,f1883]) ).
fof(f7481,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1285,f1884]) ).
fof(f7482,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f1285,f1885]) ).
fof(f7483,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f1285,f3015]) ).
fof(f7500,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ187_spl
| ~ is_a_theorem(not(or(X0,implies(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1047,f3066]) ).
fof(f7502,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ186_spl
| ~ is_a_theorem(not(implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f659,f3061]) ).
fof(f7503,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(or(X0,or(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3074]) ).
fof(f7504,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),possibly(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3290,f4864]) ).
fof(f7505,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),possibly(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3290,f4848]) ).
fof(f7506,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),possibly(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f3290,f4751]) ).
fof(f7507,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f3290,f2962]) ).
fof(f7508,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f3290,f723]) ).
fof(f7509,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(possibly(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3290,f4860]) ).
fof(f7510,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),or(possibly(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3290,f4822]) ).
fof(f7511,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(or(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f3290,f3186]) ).
fof(f7512,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(necessarily(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3290,f3177]) ).
fof(f7513,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),or(necessarily(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3290,f3302]) ).
fof(f7514,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(strict_equiv(sK60_skl,sK61_skl),X1))) ),
inference(resolution,[status(thm)],[f3290,f1194]) ).
fof(f7515,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f3290,f3293]) ).
fof(f7516,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(implies(necessarily(X1),X1),X2))) ),
inference(resolution,[status(thm)],[f3290,f1179]) ).
fof(f7517,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f3290,f3030]) ).
fof(f7518,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,and(not(X1),not(X1))))) ),
inference(resolution,[status(thm)],[f3290,f3021]) ).
fof(f7519,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3290,f4859]) ).
fof(f7520,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3290,f4821]) ).
fof(f7521,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,necessarily(possibly(not(X1)))))) ),
inference(resolution,[status(thm)],[f3290,f1154]) ).
fof(f7522,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3290,f3178]) ).
fof(f7523,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3290,f3303]) ).
fof(f7524,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f3290,f1144]) ).
fof(f7525,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3290,f3187]) ).
fof(f7526,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f3290,f1166]) ).
fof(f7527,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f3290,f1367]) ).
fof(f7528,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f3290,f3294]) ).
fof(f7529,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f3290,f1348]) ).
fof(f7530,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,implies(X2,and(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f3290,f1211]) ).
fof(f7531,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f3290,f1150]) ).
fof(f7532,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3290,f3031]) ).
fof(f7533,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f3290,f3034]) ).
fof(f7534,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(or(equiv(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f3290,f4559]) ).
fof(f7535,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(or(implies(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f3290,f3314]) ).
fof(f7536,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(or(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3290,f4565]) ).
fof(f7537,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(or(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3290,f3427]) ).
fof(f7538,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3290,f3181]) ).
fof(f7539,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3290,f3029]) ).
fof(f7540,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3290,f3292]) ).
fof(f7541,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3290,f3180]) ).
fof(f7542,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3290,f3305]) ).
fof(f7543,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f3290,f1127]) ).
fof(f7544,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(or(X1,not(X2)),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f3290,f1230]) ).
fof(f7545,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(equiv(X1,X2),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f3290,f1201]) ).
fof(f7546,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(equiv(X1,X2),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f3290,f1168]) ).
fof(f7547,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f3290,f1216]) ).
fof(f7548,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2)))))) ),
inference(resolution,[status(thm)],[f3290,f1205]) ).
fof(f7549,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))))) ),
inference(resolution,[status(thm)],[f3290,f1283]) ).
fof(f7550,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))))) ),
inference(resolution,[status(thm)],[f3290,f1161]) ).
fof(f7551,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f3290,f1171]) ).
fof(f7552,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f3290,f1146]) ).
fof(f7553,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f3290,f1158]) ).
fof(f7554,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(necessarily(X1),necessarily(necessarily(X1)))))) ),
inference(resolution,[status(thm)],[f3290,f1156]) ).
fof(f7555,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f3290,f1132]) ).
fof(f7556,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(X1,necessarily(possibly(X1)))))) ),
inference(resolution,[status(thm)],[f3290,f1153]) ).
fof(f7557,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3290,f4574]) ).
fof(f7558,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(X1,implies(X2,and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f3290,f1210]) ).
fof(f7559,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3290,f3443]) ).
fof(f7560,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f3290,f1149]) ).
fof(f7561,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f3290,f1165]) ).
fof(f7562,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f3290,f1143]) ).
fof(f7563,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(X1,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f3290,f3020]) ).
fof(f7564,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3290,f3033]) ).
fof(f7565,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f3290,f3296]) ).
fof(f7566,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f3290,f3285]) ).
fof(f7567,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f3290,f1044]) ).
fof(f7568,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f3290,f486]) ).
fof(f7569,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f3290,f497]) ).
fof(f7570,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f3290,f1285]) ).
fof(f7571,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f3290,f1163]) ).
fof(f7572,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(implies(X1,implies(X1,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f3290,f398]) ).
fof(f7573,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))))) ),
inference(resolution,[status(thm)],[f3290,f475]) ).
fof(f7574,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f3290,f409]) ).
fof(f7575,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))) ),
inference(resolution,[status(thm)],[f3290,f508]) ).
fof(f7576,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f3290,f420]) ).
fof(f7577,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f3290,f431]) ).
fof(f7578,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(necessarily(or(X1,X2)),implies(necessarily(not(X1)),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f3290,f1159]) ).
fof(f7579,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f3290,f734]) ).
fof(f7580,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(necessarily(X1),necessarily(necessarily(X1))))) ),
inference(resolution,[status(thm)],[f3290,f756]) ).
fof(f7581,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f3290,f745]) ).
fof(f7582,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3290,f4858]) ).
fof(f7583,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3290,f4820]) ).
fof(f7584,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f3290,f1264]) ).
fof(f7585,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3290,f3179]) ).
fof(f7586,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3290,f3304]) ).
fof(f7587,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,necessarily(possibly(X1))))) ),
inference(resolution,[status(thm)],[f3290,f767]) ).
fof(f7588,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f3290,f3295]) ).
fof(f7589,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f3290,f1248]) ).
fof(f7590,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,implies(X2,and(X1,X2))))) ),
inference(resolution,[status(thm)],[f3290,f442]) ).
fof(f7591,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f3290,f387]) ).
fof(f7592,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3290,f3032]) ).
fof(f7593,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3290,f3188]) ).
fof(f7594,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f3290,f464]) ).
fof(f7595,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f3290,f453]) ).
fof(f7596,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f3290,f519]) ).
fof(f7597,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,X1))) ),
inference(resolution,[status(thm)],[f3290,f3447]) ).
fof(f7602,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(equiv(X0,X0),implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))))) ),
inference(resolution,[status(thm)],[f1207,f3290]) ).
fof(f7603,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(implies(X0,X1),implies(or(X2,X1),implies(or(X0,not(X2)),X1))))) ),
inference(resolution,[status(thm)],[f1207,f1868]) ).
fof(f7604,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1207,f1869]) ).
fof(f7605,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))))) ),
inference(resolution,[status(thm)],[f1207,f1870]) ).
fof(f7606,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))))) ),
inference(resolution,[status(thm)],[f1207,f1871]) ).
fof(f7607,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1207,f1872]) ).
fof(f7608,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1207,f1873]) ).
fof(f7609,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1207,f1874]) ).
fof(f7610,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1207,f1875]) ).
fof(f7611,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(implies(X3,X4),implies(or(X5,X4),implies(or(X3,not(X5)),X4))))) ),
inference(resolution,[status(thm)],[f1207,f1876]) ).
fof(f7612,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(X3,X4),implies(or(X5,X4),implies(or(X3,not(X5)),X4))))) ),
inference(resolution,[status(thm)],[f1207,f1877]) ).
fof(f7613,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1207,f1878]) ).
fof(f7614,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1207,f1879]) ).
fof(f7615,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1207,f1880]) ).
fof(f7616,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1207,f1881]) ).
fof(f7617,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1207,f1882]) ).
fof(f7618,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1207,f1883]) ).
fof(f7619,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1207,f1884]) ).
fof(f7620,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))))) ),
inference(resolution,[status(thm)],[f1207,f1885]) ).
fof(f7621,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))))) ),
inference(resolution,[status(thm)],[f1207,f3015]) ).
fof(f7638,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(resolution,[status(thm)],[f1202,f342]) ).
fof(f7639,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(equiv(X0,X0),implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1202,f3290]) ).
fof(f7640,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(equiv(not(X0),X1),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f1202,f1868]) ).
fof(f7641,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1202,f1869]) ).
fof(f7642,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1202,f1870]) ).
fof(f7643,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1202,f1871]) ).
fof(f7644,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1202,f1872]) ).
fof(f7645,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1202,f1873]) ).
fof(f7646,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1202,f1874]) ).
fof(f7647,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1202,f1875]) ).
fof(f7648,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(equiv(not(X3),X4),or(X3,X4)))) ),
inference(resolution,[status(thm)],[f1202,f1876]) ).
fof(f7649,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(equiv(not(X3),X4),or(X3,X4)))) ),
inference(resolution,[status(thm)],[f1202,f1877]) ).
fof(f7650,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1202,f1878]) ).
fof(f7651,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1202,f1879]) ).
fof(f7652,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1202,f1880]) ).
fof(f7653,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1202,f1881]) ).
fof(f7654,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1202,f1882]) ).
fof(f7655,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1202,f1883]) ).
fof(f7656,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1202,f1884]) ).
fof(f7657,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1202,f1885]) ).
fof(f7658,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1202,f3015]) ).
fof(f7662,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1202,f1164]) ).
fof(f7663,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f1202,f1142]) ).
fof(f7674,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(resolution,[status(thm)],[f1169,f342]) ).
fof(f7675,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(equiv(X0,X0),implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1169,f3290]) ).
fof(f7676,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(equiv(X0,not(X1)),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f1169,f1868]) ).
fof(f7677,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1169,f1869]) ).
fof(f7678,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1169,f1870]) ).
fof(f7679,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1169,f1871]) ).
fof(f7680,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1169,f1872]) ).
fof(f7681,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1169,f1873]) ).
fof(f7682,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1169,f1874]) ).
fof(f7683,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1169,f1875]) ).
fof(f7684,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(equiv(X3,not(X4)),or(X4,X3)))) ),
inference(resolution,[status(thm)],[f1169,f1876]) ).
fof(f7685,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(equiv(X3,not(X4)),or(X4,X3)))) ),
inference(resolution,[status(thm)],[f1169,f1877]) ).
fof(f7686,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1169,f1878]) ).
fof(f7687,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1169,f1879]) ).
fof(f7688,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1169,f1880]) ).
fof(f7689,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1169,f1881]) ).
fof(f7690,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1169,f1882]) ).
fof(f7691,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1169,f1883]) ).
fof(f7692,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1169,f1884]) ).
fof(f7693,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1169,f1885]) ).
fof(f7694,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1169,f3015]) ).
fof(f7698,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1169,f1164]) ).
fof(f7699,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(implies(equiv(X0,not(X1)),or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f1169,f1142]) ).
fof(f7711,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(equiv(X0,X0),implies(or(X1,or(X1,X2)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1221,f3290]) ).
fof(f7712,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(or(X0,or(X0,X1)),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f1221,f1868]) ).
fof(f7713,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1221,f1869]) ).
fof(f7714,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(or(X1,or(X1,X2)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1221,f1870]) ).
fof(f7715,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(or(X1,or(X1,X2)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1221,f1871]) ).
fof(f7716,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1221,f1872]) ).
fof(f7717,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1221,f1873]) ).
fof(f7718,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1221,f1874]) ).
fof(f7719,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1221,f1875]) ).
fof(f7720,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(or(X3,or(X3,X4)),or(X3,X4)))) ),
inference(resolution,[status(thm)],[f1221,f1876]) ).
fof(f7721,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(or(X3,or(X3,X4)),or(X3,X4)))) ),
inference(resolution,[status(thm)],[f1221,f1877]) ).
fof(f7722,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1221,f1878]) ).
fof(f7723,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1221,f1879]) ).
fof(f7724,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1221,f1880]) ).
fof(f7725,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1221,f1881]) ).
fof(f7726,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1221,f1882]) ).
fof(f7727,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1221,f1883]) ).
fof(f7728,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1221,f1884]) ).
fof(f7729,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(or(X1,or(X1,X2)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1221,f1885]) ).
fof(f7730,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(or(X1,or(X1,X2)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1221,f3015]) ).
fof(f7739,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),possibly(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3028,f4864]) ).
fof(f7740,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),possibly(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3028,f4848]) ).
fof(f7741,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),possibly(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f3028,f4751]) ).
fof(f7742,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f3028,f2962]) ).
fof(f7743,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f3028,f723]) ).
fof(f7744,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(possibly(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3028,f4860]) ).
fof(f7745,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(possibly(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3028,f4822]) ).
fof(f7746,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(or(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f3028,f3186]) ).
fof(f7747,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(necessarily(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3028,f3177]) ).
fof(f7748,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(necessarily(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3028,f3302]) ).
fof(f7749,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(strict_equiv(sK60_skl,sK61_skl),X1))) ),
inference(resolution,[status(thm)],[f3028,f1194]) ).
fof(f7750,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f3028,f3293]) ).
fof(f7751,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(implies(necessarily(X1),X1),X2))) ),
inference(resolution,[status(thm)],[f3028,f1179]) ).
fof(f7752,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f3028,f3030]) ).
fof(f7753,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(X1,and(not(X1),not(X1))))) ),
inference(resolution,[status(thm)],[f3028,f3021]) ).
fof(f7754,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3028,f4859]) ).
fof(f7755,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3028,f4821]) ).
fof(f7756,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(X1,necessarily(possibly(not(X1)))))) ),
inference(resolution,[status(thm)],[f3028,f1154]) ).
fof(f7757,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3028,f3178]) ).
fof(f7758,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3028,f3303]) ).
fof(f7759,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f3028,f1144]) ).
fof(f7760,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3028,f3187]) ).
fof(f7761,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f3028,f1166]) ).
fof(f7762,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f3028,f1367]) ).
fof(f7763,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f3028,f3294]) ).
fof(f7764,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f3028,f1348]) ).
fof(f7765,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(X1,implies(X2,and(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f3028,f1211]) ).
fof(f7766,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f3028,f1150]) ).
fof(f7767,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3028,f3031]) ).
fof(f7768,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f3028,f3034]) ).
fof(f7769,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(or(equiv(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f3028,f4559]) ).
fof(f7770,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(or(implies(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f3028,f3314]) ).
fof(f7771,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(or(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3028,f4565]) ).
fof(f7772,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(or(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3028,f3427]) ).
fof(f7773,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3028,f3181]) ).
fof(f7774,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3028,f3029]) ).
fof(f7775,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3028,f3292]) ).
fof(f7776,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3028,f3180]) ).
fof(f7777,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3028,f3305]) ).
fof(f7778,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f3028,f1127]) ).
fof(f7779,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(or(X1,not(X2)),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f3028,f1230]) ).
fof(f7780,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(equiv(X1,X2),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f3028,f1201]) ).
fof(f7781,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(equiv(X1,X2),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f3028,f1168]) ).
fof(f7782,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f3028,f1216]) ).
fof(f7783,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2)))))) ),
inference(resolution,[status(thm)],[f3028,f1205]) ).
fof(f7784,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))))) ),
inference(resolution,[status(thm)],[f3028,f1283]) ).
fof(f7785,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))))) ),
inference(resolution,[status(thm)],[f3028,f1161]) ).
fof(f7786,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f3028,f1171]) ).
fof(f7787,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f3028,f1146]) ).
fof(f7788,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f3028,f1158]) ).
fof(f7789,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(necessarily(X1),necessarily(necessarily(X1)))))) ),
inference(resolution,[status(thm)],[f3028,f1156]) ).
fof(f7790,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f3028,f1132]) ).
fof(f7791,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(X1,necessarily(possibly(X1)))))) ),
inference(resolution,[status(thm)],[f3028,f1153]) ).
fof(f7792,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3028,f4574]) ).
fof(f7793,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(X1,implies(X2,and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f3028,f1210]) ).
fof(f7794,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3028,f3443]) ).
fof(f7795,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f3028,f1149]) ).
fof(f7796,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f3028,f1165]) ).
fof(f7797,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f3028,f1143]) ).
fof(f7798,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(X1,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f3028,f3020]) ).
fof(f7799,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3028,f3033]) ).
fof(f7800,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f3028,f3296]) ).
fof(f7801,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f3028,f3285]) ).
fof(f7802,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,X0),implies(or(X1,or(X1,X2)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f3028,f1221]) ).
fof(f7803,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f3028,f1044]) ).
fof(f7804,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f3028,f1202]) ).
fof(f7805,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f3028,f1169]) ).
fof(f7806,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f3028,f486]) ).
fof(f7807,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f3028,f497]) ).
fof(f7808,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f3028,f1285]) ).
fof(f7809,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f3028,f1163]) ).
fof(f7810,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,X0),implies(implies(X1,implies(X1,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f3028,f398]) ).
fof(f7811,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))))) ),
inference(resolution,[status(thm)],[f3028,f1207]) ).
fof(f7812,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))))) ),
inference(resolution,[status(thm)],[f3028,f475]) ).
fof(f7813,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f3028,f409]) ).
fof(f7814,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))) ),
inference(resolution,[status(thm)],[f3028,f508]) ).
fof(f7815,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f3028,f420]) ).
fof(f7816,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f3028,f431]) ).
fof(f7817,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(necessarily(or(X1,X2)),implies(necessarily(not(X1)),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f3028,f1159]) ).
fof(f7818,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f3028,f734]) ).
fof(f7819,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(necessarily(X1),necessarily(necessarily(X1))))) ),
inference(resolution,[status(thm)],[f3028,f756]) ).
fof(f7820,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f3028,f745]) ).
fof(f7821,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3028,f4858]) ).
fof(f7822,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3028,f4820]) ).
fof(f7823,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f3028,f1264]) ).
fof(f7824,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3028,f3179]) ).
fof(f7825,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f3028,f3304]) ).
fof(f7826,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,necessarily(possibly(X1))))) ),
inference(resolution,[status(thm)],[f3028,f767]) ).
fof(f7827,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f3028,f3295]) ).
fof(f7828,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f3028,f1248]) ).
fof(f7829,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,implies(X2,and(X1,X2))))) ),
inference(resolution,[status(thm)],[f3028,f442]) ).
fof(f7830,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f3028,f387]) ).
fof(f7831,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3028,f3032]) ).
fof(f7832,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3028,f3188]) ).
fof(f7833,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f3028,f464]) ).
fof(f7834,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f3028,f453]) ).
fof(f7835,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f3028,f519]) ).
fof(f7836,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,X1))) ),
inference(resolution,[status(thm)],[f3028,f3447]) ).
fof(f7841,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(X0,X0),implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)))) ),
inference(resolution,[status(thm)],[f1231,f3028]) ).
fof(f7842,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(equiv(X0,X0),implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)))) ),
inference(resolution,[status(thm)],[f1231,f3290]) ).
fof(f7843,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(or(X0,implies(X1,X2)),implies(and(X1,not(X2)),X0)))) ),
inference(resolution,[status(thm)],[f1231,f1868]) ).
fof(f7844,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1231,f1869]) ).
fof(f7845,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)))) ),
inference(resolution,[status(thm)],[f1231,f1870]) ).
fof(f7846,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)))) ),
inference(resolution,[status(thm)],[f1231,f1871]) ).
fof(f7847,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1231,f1872]) ).
fof(f7848,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1231,f1873]) ).
fof(f7849,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1231,f1874]) ).
fof(f7850,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1231,f1875]) ).
fof(f7851,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(or(X3,implies(X4,X5)),implies(and(X4,not(X5)),X3)))) ),
inference(resolution,[status(thm)],[f1231,f1876]) ).
fof(f7852,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(or(X3,implies(X4,X5)),implies(and(X4,not(X5)),X3)))) ),
inference(resolution,[status(thm)],[f1231,f1877]) ).
fof(f7853,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1231,f1878]) ).
fof(f7854,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1231,f1879]) ).
fof(f7855,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1231,f1880]) ).
fof(f7856,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1231,f1881]) ).
fof(f7857,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1231,f1882]) ).
fof(f7858,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1231,f1883]) ).
fof(f7859,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1231,f1884]) ).
fof(f7860,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)))) ),
inference(resolution,[status(thm)],[f1231,f1885]) ).
fof(f7861,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)))) ),
inference(resolution,[status(thm)],[f1231,f3015]) ).
fof(f7874,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,X0),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f3028]) ).
fof(f7875,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ104_spl
| ~ sQ116_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f3290]) ).
fof(f7876,plain,
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1868]) ).
fof(f7877,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1869]) ).
fof(f7878,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1870]) ).
fof(f7879,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1871]) ).
fof(f7880,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1872]) ).
fof(f7881,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1873]) ).
fof(f7882,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1874]) ).
fof(f7883,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1875]) ).
fof(f7884,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1876]) ).
fof(f7885,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1877]) ).
fof(f7886,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1878]) ).
fof(f7887,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1879]) ).
fof(f7888,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1880]) ).
fof(f7889,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1881]) ).
fof(f7890,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1882]) ).
fof(f7891,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1883]) ).
fof(f7892,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1884]) ).
fof(f7893,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f1885]) ).
fof(f7894,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1964,f3015]) ).
fof(f7903,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f1175,f1228]) ).
fof(f7904,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,X0),or(implies(and(X1,X2),X1),X3))) ),
inference(resolution,[status(thm)],[f1175,f3028]) ).
fof(f7905,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(and(equiv(X0,X0),or(implies(and(X1,X2),X1),X3))) ),
inference(resolution,[status(thm)],[f1175,f3290]) ).
fof(f7906,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(implies(and(X0,X1),X0),X2))) ),
inference(resolution,[status(thm)],[f1175,f1868]) ).
fof(f7907,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1175,f1869]) ).
fof(f7908,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(implies(and(X1,X2),X1),X3))) ),
inference(resolution,[status(thm)],[f1175,f1870]) ).
fof(f7909,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(implies(and(X1,X2),X1),X3))) ),
inference(resolution,[status(thm)],[f1175,f1871]) ).
fof(f7910,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1175,f1872]) ).
fof(f7911,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1175,f1873]) ).
fof(f7912,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1175,f1874]) ).
fof(f7913,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1175,f1875]) ).
fof(f7914,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(implies(and(X3,X4),X3),X5))) ),
inference(resolution,[status(thm)],[f1175,f1876]) ).
fof(f7915,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(implies(and(X3,X4),X3),X5))) ),
inference(resolution,[status(thm)],[f1175,f1877]) ).
fof(f7916,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1175,f1878]) ).
fof(f7917,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1175,f1879]) ).
fof(f7918,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1175,f1880]) ).
fof(f7919,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1175,f1881]) ).
fof(f7920,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1175,f1882]) ).
fof(f7921,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1175,f1883]) ).
fof(f7922,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1175,f1884]) ).
fof(f7923,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(implies(and(X1,X2),X1),X3))) ),
inference(resolution,[status(thm)],[f1175,f1885]) ).
fof(f7924,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(implies(and(X1,X2),X1),X3))) ),
inference(resolution,[status(thm)],[f1175,f3015]) ).
fof(f7933,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f659,f1175]) ).
fof(f7934,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f1176,f1228]) ).
fof(f7935,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,X0),or(implies(and(X1,X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1176,f3028]) ).
fof(f7936,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ31_spl
| is_a_theorem(and(equiv(X0,X0),or(implies(and(X1,X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1176,f3290]) ).
fof(f7937,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(implies(and(X0,X1),X1),X2))) ),
inference(resolution,[status(thm)],[f1176,f1868]) ).
fof(f7938,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1176,f1869]) ).
fof(f7939,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(implies(and(X1,X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1176,f1870]) ).
fof(f7940,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(implies(and(X1,X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1176,f1871]) ).
fof(f7941,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1176,f1872]) ).
fof(f7942,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1176,f1873]) ).
fof(f7943,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1176,f1874]) ).
fof(f7944,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1176,f1875]) ).
fof(f7945,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(implies(and(X3,X4),X4),X5))) ),
inference(resolution,[status(thm)],[f1176,f1876]) ).
fof(f7946,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(implies(and(X3,X4),X4),X5))) ),
inference(resolution,[status(thm)],[f1176,f1877]) ).
fof(f7947,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1176,f1878]) ).
fof(f7948,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1176,f1879]) ).
fof(f7949,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1176,f1880]) ).
fof(f7950,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1176,f1881]) ).
fof(f7951,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1176,f1882]) ).
fof(f7952,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1176,f1883]) ).
fof(f7953,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1176,f1884]) ).
fof(f7954,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(implies(and(X1,X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1176,f1885]) ).
fof(f7955,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(implies(and(X1,X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1176,f3015]) ).
fof(f7964,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f659,f1176]) ).
fof(f7966,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,X0),or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1181,f3028]) ).
fof(f7967,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ31_spl
| is_a_theorem(and(equiv(X0,X0),or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1181,f3290]) ).
fof(f7968,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(implies(X0,implies(X1,X0)),X2))) ),
inference(resolution,[status(thm)],[f1181,f1868]) ).
fof(f7969,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1181,f1869]) ).
fof(f7970,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1181,f1870]) ).
fof(f7971,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1181,f1871]) ).
fof(f7972,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1181,f1872]) ).
fof(f7973,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1181,f1873]) ).
fof(f7974,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1181,f1874]) ).
fof(f7975,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1181,f1875]) ).
fof(f7976,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(implies(X3,implies(X4,X3)),X5))) ),
inference(resolution,[status(thm)],[f1181,f1876]) ).
fof(f7977,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(implies(X3,implies(X4,X3)),X5))) ),
inference(resolution,[status(thm)],[f1181,f1877]) ).
fof(f7978,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1181,f1878]) ).
fof(f7979,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1181,f1879]) ).
fof(f7980,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1181,f1880]) ).
fof(f7981,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1181,f1881]) ).
fof(f7982,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1181,f1882]) ).
fof(f7983,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1181,f1883]) ).
fof(f7984,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1181,f1884]) ).
fof(f7985,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1181,f1885]) ).
fof(f7986,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1181,f3015]) ).
fof(f7996,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1047,f1181]) ).
fof(f8001,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,X0),implies(or(X1,possibly(X2)),implies(necessarily(not(X2)),X1)))) ),
inference(resolution,[status(thm)],[f1232,f3028]) ).
fof(f8002,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(equiv(X0,X0),implies(or(X1,possibly(X2)),implies(necessarily(not(X2)),X1)))) ),
inference(resolution,[status(thm)],[f1232,f3290]) ).
fof(f8003,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(or(X0,possibly(X1)),implies(necessarily(not(X1)),X0)))) ),
inference(resolution,[status(thm)],[f1232,f1868]) ).
fof(f8004,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1232,f1869]) ).
fof(f8005,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(or(X1,possibly(X2)),implies(necessarily(not(X2)),X1)))) ),
inference(resolution,[status(thm)],[f1232,f1870]) ).
fof(f8006,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(or(X1,possibly(X2)),implies(necessarily(not(X2)),X1)))) ),
inference(resolution,[status(thm)],[f1232,f1871]) ).
fof(f8007,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1232,f1872]) ).
fof(f8008,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1232,f1873]) ).
fof(f8009,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1232,f1874]) ).
fof(f8010,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1232,f1875]) ).
fof(f8011,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(or(X3,possibly(X4)),implies(necessarily(not(X4)),X3)))) ),
inference(resolution,[status(thm)],[f1232,f1876]) ).
fof(f8012,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(or(X3,possibly(X4)),implies(necessarily(not(X4)),X3)))) ),
inference(resolution,[status(thm)],[f1232,f1877]) ).
fof(f8013,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1232,f1878]) ).
fof(f8014,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1232,f1879]) ).
fof(f8015,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ164_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1232,f1880]) ).
fof(f8016,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1232,f1881]) ).
fof(f8017,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1232,f1882]) ).
fof(f8018,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1232,f1883]) ).
fof(f8019,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1232,f1884]) ).
fof(f8020,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(or(X1,possibly(X2)),implies(necessarily(not(X2)),X1)))) ),
inference(resolution,[status(thm)],[f1232,f1885]) ).
fof(f8021,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(or(X1,possibly(X2)),implies(necessarily(not(X2)),X1)))) ),
inference(resolution,[status(thm)],[f1232,f3015]) ).
fof(f8036,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(X0,X0),implies(or(X1,not(not(X2))),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1233,f3028]) ).
fof(f8037,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(equiv(X0,X0),implies(or(X1,not(not(X2))),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1233,f3290]) ).
fof(f8038,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(or(X0,not(not(X1))),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f1233,f1868]) ).
fof(f8039,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1233,f1869]) ).
fof(f8040,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(or(X1,not(not(X2))),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1233,f1870]) ).
fof(f8041,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(or(X1,not(not(X2))),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1233,f1871]) ).
fof(f8042,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1233,f1872]) ).
fof(f8043,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1233,f1873]) ).
fof(f8044,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1233,f1874]) ).
fof(f8045,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1233,f1875]) ).
fof(f8046,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(or(X3,not(not(X4))),or(X4,X3)))) ),
inference(resolution,[status(thm)],[f1233,f1876]) ).
fof(f8047,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(or(X3,not(not(X4))),or(X4,X3)))) ),
inference(resolution,[status(thm)],[f1233,f1877]) ).
fof(f8048,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1233,f1878]) ).
fof(f8049,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1233,f1879]) ).
fof(f8050,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1233,f1880]) ).
fof(f8051,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1233,f1881]) ).
fof(f8052,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1233,f1882]) ).
fof(f8053,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1233,f1883]) ).
fof(f8054,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1233,f1884]) ).
fof(f8055,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(or(X1,not(not(X2))),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1233,f1885]) ).
fof(f8056,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(or(X1,not(not(X2))),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1233,f3015]) ).
fof(f8073,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,X0),implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1162,f3028]) ).
fof(f8074,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(equiv(X0,X0),implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1162,f3290]) ).
fof(f8075,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1))))) ),
inference(resolution,[status(thm)],[f1162,f1868]) ).
fof(f8076,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1162,f1869]) ).
fof(f8077,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1162,f1870]) ).
fof(f8078,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1162,f1871]) ).
fof(f8079,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1162,f1872]) ).
fof(f8080,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1162,f1873]) ).
fof(f8081,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1162,f1874]) ).
fof(f8082,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1162,f1875]) ).
fof(f8083,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(or(X3,X4),implies(implies(X4,not(X3)),equiv(not(X3),X4))))) ),
inference(resolution,[status(thm)],[f1162,f1876]) ).
fof(f8084,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(or(X3,X4),implies(implies(X4,not(X3)),equiv(not(X3),X4))))) ),
inference(resolution,[status(thm)],[f1162,f1877]) ).
fof(f8085,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1162,f1878]) ).
fof(f8086,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1162,f1879]) ).
fof(f8087,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1162,f1880]) ).
fof(f8088,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1162,f1881]) ).
fof(f8089,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1162,f1882]) ).
fof(f8090,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1162,f1883]) ).
fof(f8091,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1162,f1884]) ).
fof(f8092,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1162,f1885]) ).
fof(f8093,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f1162,f3015]) ).
fof(f8119,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,X0),implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))))) ),
inference(resolution,[status(thm)],[f1206,f3028]) ).
fof(f8120,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(equiv(X0,X0),implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))))) ),
inference(resolution,[status(thm)],[f1206,f3290]) ).
fof(f8121,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(or(X0,X1),implies(implies(X2,X1),implies(or(not(X0),X2),X1))))) ),
inference(resolution,[status(thm)],[f1206,f1868]) ).
fof(f8122,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1206,f1869]) ).
fof(f8123,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))))) ),
inference(resolution,[status(thm)],[f1206,f1870]) ).
fof(f8124,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))))) ),
inference(resolution,[status(thm)],[f1206,f1871]) ).
fof(f8125,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1206,f1872]) ).
fof(f8126,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1206,f1873]) ).
fof(f8127,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1206,f1874]) ).
fof(f8128,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1206,f1875]) ).
fof(f8129,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(or(X3,X4),implies(implies(X5,X4),implies(or(not(X3),X5),X4))))) ),
inference(resolution,[status(thm)],[f1206,f1876]) ).
fof(f8130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(or(X3,X4),implies(implies(X5,X4),implies(or(not(X3),X5),X4))))) ),
inference(resolution,[status(thm)],[f1206,f1877]) ).
fof(f8131,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1206,f1878]) ).
fof(f8132,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1206,f1879]) ).
fof(f8133,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1206,f1880]) ).
fof(f8134,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1206,f1881]) ).
fof(f8135,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1206,f1882]) ).
fof(f8136,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1206,f1883]) ).
fof(f8137,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1206,f1884]) ).
fof(f8138,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))))) ),
inference(resolution,[status(thm)],[f1206,f1885]) ).
fof(f8139,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))))) ),
inference(resolution,[status(thm)],[f1206,f3015]) ).
fof(f8153,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1182,f1228]) ).
fof(f8154,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,X0),or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1182,f3028]) ).
fof(f8155,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(and(equiv(X0,X0),or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1182,f3290]) ).
fof(f8156,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(implies(X0,or(X1,X0)),X2))) ),
inference(resolution,[status(thm)],[f1182,f1868]) ).
fof(f8157,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1182,f1869]) ).
fof(f8158,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1182,f1870]) ).
fof(f8159,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1182,f1871]) ).
fof(f8160,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1182,f1872]) ).
fof(f8161,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1182,f1873]) ).
fof(f8162,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1182,f1874]) ).
fof(f8163,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1182,f1875]) ).
fof(f8164,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(implies(X3,or(X4,X3)),X5))) ),
inference(resolution,[status(thm)],[f1182,f1876]) ).
fof(f8165,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(implies(X3,or(X4,X3)),X5))) ),
inference(resolution,[status(thm)],[f1182,f1877]) ).
fof(f8166,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1182,f1878]) ).
fof(f8167,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1182,f1879]) ).
fof(f8168,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1182,f1880]) ).
fof(f8169,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1182,f1881]) ).
fof(f8170,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1182,f1882]) ).
fof(f8171,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1182,f1883]) ).
fof(f8172,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1182,f1884]) ).
fof(f8173,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1182,f1885]) ).
fof(f8174,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f1182,f3015]) ).
fof(f8188,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,X0),implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))))) ),
inference(resolution,[status(thm)],[f1287,f3028]) ).
fof(f8189,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(equiv(X0,X0),implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))))) ),
inference(resolution,[status(thm)],[f1287,f3290]) ).
fof(f8190,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2))))) ),
inference(resolution,[status(thm)],[f1287,f1868]) ).
fof(f8191,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1287,f1869]) ).
fof(f8192,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))))) ),
inference(resolution,[status(thm)],[f1287,f1870]) ).
fof(f8193,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))))) ),
inference(resolution,[status(thm)],[f1287,f1871]) ).
fof(f8194,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1287,f1872]) ).
fof(f8195,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1287,f1873]) ).
fof(f8196,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1287,f1874]) ).
fof(f8197,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1287,f1875]) ).
fof(f8198,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(or(X3,X4),implies(implies(X4,X5),or(X3,X5))))) ),
inference(resolution,[status(thm)],[f1287,f1876]) ).
fof(f8199,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(or(X3,X4),implies(implies(X4,X5),or(X3,X5))))) ),
inference(resolution,[status(thm)],[f1287,f1877]) ).
fof(f8200,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1287,f1878]) ).
fof(f8201,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1287,f1879]) ).
fof(f8202,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1287,f1880]) ).
fof(f8203,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1287,f1881]) ).
fof(f8204,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1287,f1882]) ).
fof(f8205,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1287,f1883]) ).
fof(f8206,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1287,f1884]) ).
fof(f8207,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))))) ),
inference(resolution,[status(thm)],[f1287,f1885]) ).
fof(f8208,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))))) ),
inference(resolution,[status(thm)],[f1287,f3015]) ).
fof(f8218,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1183,f1228]) ).
fof(f8219,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,X0),or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f1183,f3028]) ).
fof(f8220,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ31_spl
| is_a_theorem(and(equiv(X0,X0),or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f1183,f3290]) ).
fof(f8221,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(implies(X0,or(X0,X1)),X2))) ),
inference(resolution,[status(thm)],[f1183,f1868]) ).
fof(f8222,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1183,f1869]) ).
fof(f8223,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f1183,f1870]) ).
fof(f8224,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f1183,f1871]) ).
fof(f8225,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1183,f1872]) ).
fof(f8226,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1183,f1873]) ).
fof(f8227,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1183,f1874]) ).
fof(f8228,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1183,f1875]) ).
fof(f8229,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(implies(X3,or(X3,X4)),X5))) ),
inference(resolution,[status(thm)],[f1183,f1876]) ).
fof(f8230,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(implies(X3,or(X3,X4)),X5))) ),
inference(resolution,[status(thm)],[f1183,f1877]) ).
fof(f8231,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1183,f1878]) ).
fof(f8232,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1183,f1879]) ).
fof(f8233,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1183,f1880]) ).
fof(f8234,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1183,f1881]) ).
fof(f8235,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1183,f1882]) ).
fof(f8236,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1183,f1883]) ).
fof(f8237,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1183,f1884]) ).
fof(f8238,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f1183,f1885]) ).
fof(f8239,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f1183,f3015]) ).
fof(f8249,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,X0),or(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1344,f3028]) ).
fof(f8250,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ34_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1344,f3290]) ).
fof(f8251,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1344,f1868]) ).
fof(f8252,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1344,f1869]) ).
fof(f8253,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1344,f1870]) ).
fof(f8254,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1344,f1871]) ).
fof(f8255,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1344,f1872]) ).
fof(f8256,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1344,f1873]) ).
fof(f8257,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1344,f1874]) ).
fof(f8258,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1344,f1875]) ).
fof(f8259,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,implies(and(X4,X5),X4)))) ),
inference(resolution,[status(thm)],[f1344,f1876]) ).
fof(f8260,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,implies(and(X4,X5),X4)))) ),
inference(resolution,[status(thm)],[f1344,f1877]) ).
fof(f8261,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1344,f1878]) ).
fof(f8262,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1344,f1879]) ).
fof(f8263,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1344,f1880]) ).
fof(f8264,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1344,f1881]) ).
fof(f8265,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1344,f1882]) ).
fof(f8266,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1344,f1883]) ).
fof(f8267,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1344,f1884]) ).
fof(f8268,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1344,f1885]) ).
fof(f8269,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1344,f3015]) ).
fof(f8278,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f1344]) ).
fof(f8279,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ25_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,X0),or(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1345,f3028]) ).
fof(f8280,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ34_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1345,f3290]) ).
fof(f8281,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1345,f1868]) ).
fof(f8282,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1345,f1869]) ).
fof(f8283,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1345,f1870]) ).
fof(f8284,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1345,f1871]) ).
fof(f8285,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1345,f1872]) ).
fof(f8286,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1345,f1873]) ).
fof(f8287,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1345,f1874]) ).
fof(f8288,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1345,f1875]) ).
fof(f8289,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,implies(and(X4,X5),X5)))) ),
inference(resolution,[status(thm)],[f1345,f1876]) ).
fof(f8290,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,implies(and(X4,X5),X5)))) ),
inference(resolution,[status(thm)],[f1345,f1877]) ).
fof(f8291,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1345,f1878]) ).
fof(f8292,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1345,f1879]) ).
fof(f8293,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1345,f1880]) ).
fof(f8294,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1345,f1881]) ).
fof(f8295,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1345,f1882]) ).
fof(f8296,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1345,f1883]) ).
fof(f8297,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1345,f1884]) ).
fof(f8298,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1345,f1885]) ).
fof(f8299,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1345,f3015]) ).
fof(f8308,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1345]) ).
fof(f8309,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,X0),or(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1354,f3028]) ).
fof(f8310,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ34_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1354,f3290]) ).
fof(f8311,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1354,f1868]) ).
fof(f8312,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1354,f1869]) ).
fof(f8313,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1354,f1870]) ).
fof(f8314,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1354,f1871]) ).
fof(f8315,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1354,f1872]) ).
fof(f8316,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1354,f1873]) ).
fof(f8317,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1354,f1874]) ).
fof(f8318,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1354,f1875]) ).
fof(f8319,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,implies(X4,implies(X5,X4))))) ),
inference(resolution,[status(thm)],[f1354,f1876]) ).
fof(f8320,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,implies(X4,implies(X5,X4))))) ),
inference(resolution,[status(thm)],[f1354,f1877]) ).
fof(f8321,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1354,f1878]) ).
fof(f8322,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1354,f1879]) ).
fof(f8323,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1354,f1880]) ).
fof(f8324,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1354,f1881]) ).
fof(f8325,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1354,f1882]) ).
fof(f8326,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1354,f1883]) ).
fof(f8327,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1354,f1884]) ).
fof(f8328,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1354,f1885]) ).
fof(f8329,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1354,f3015]) ).
fof(f8344,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,or(X2,and(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f1212,f3028]) ).
fof(f8345,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,or(X2,and(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f1212,f3290]) ).
fof(f8346,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,or(X1,and(X0,not(X1)))))) ),
inference(resolution,[status(thm)],[f1212,f1868]) ).
fof(f8347,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1212,f1869]) ).
fof(f8348,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,or(X2,and(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f1212,f1870]) ).
fof(f8349,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,or(X2,and(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f1212,f1871]) ).
fof(f8350,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1212,f1872]) ).
fof(f8351,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1212,f1873]) ).
fof(f8352,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1212,f1874]) ).
fof(f8353,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1212,f1875]) ).
fof(f8354,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,or(X4,and(X3,not(X4)))))) ),
inference(resolution,[status(thm)],[f1212,f1876]) ).
fof(f8355,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,or(X4,and(X3,not(X4)))))) ),
inference(resolution,[status(thm)],[f1212,f1877]) ).
fof(f8356,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1212,f1878]) ).
fof(f8357,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1212,f1879]) ).
fof(f8358,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1212,f1880]) ).
fof(f8359,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1212,f1881]) ).
fof(f8360,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1212,f1882]) ).
fof(f8361,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1212,f1883]) ).
fof(f8362,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1212,f1884]) ).
fof(f8363,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,or(X2,and(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f1212,f1885]) ).
fof(f8364,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,or(X2,and(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f1212,f3015]) ).
fof(f8378,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(possibly(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f1122,f4860]) ).
fof(f8379,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(possibly(equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f1122,f4822]) ).
fof(f8380,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f1122,f3186]) ).
fof(f8381,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(necessarily(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f1122,f3177]) ).
fof(f8382,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(necessarily(equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f1122,f3302]) ).
fof(f8393,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(possibly(implies(X1,X1)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1122,f4859]) ).
fof(f8394,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(possibly(equiv(X1,X1)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1122,f4821]) ).
fof(f8396,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(implies(X1,X1)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1122,f3178]) ).
fof(f8397,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(equiv(X1,X1)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1122,f3303]) ).
fof(f8399,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X1,not(X1)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1122,f3187]) ).
fof(f8411,definition,
! [X0] :
( sQ199_spl
<=> ~ is_a_theorem(not(possibly(implies(X0,X0)))) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f8412,plain,
! [X0] :
( ~ sQ199_spl
| ~ is_a_theorem(not(possibly(implies(X0,X0)))) ),
inference(component_clause,[status(thm)],[f8411]) ).
fof(f8414,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f8378,f8411,f1459,f644,f630,f397,f386,f766,f744,f452,f341]) ).
fof(f8415,definition,
! [X0] :
( sQ200_spl
<=> ~ is_a_theorem(not(possibly(equiv(X0,X0)))) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f8416,plain,
! [X0] :
( ~ sQ200_spl
| ~ is_a_theorem(not(possibly(equiv(X0,X0)))) ),
inference(component_clause,[status(thm)],[f8415]) ).
fof(f8418,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f8379,f8415,f1459,f644,f630,f658,f518,f397,f386,f766,f744,f452,f341]) ).
fof(f8419,definition,
! [X0] :
( sQ201_spl
<=> ~ is_a_theorem(not(or(X0,not(X0)))) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f8420,plain,
! [X0] :
( ~ sQ201_spl
| ~ is_a_theorem(not(or(X0,not(X0)))) ),
inference(component_clause,[status(thm)],[f8419]) ).
fof(f8422,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| sQ173_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f8380,f8419,f1459,f397,f386,f644,f630,f452,f341]) ).
fof(f8423,definition,
! [X0] :
( sQ202_spl
<=> ~ is_a_theorem(not(necessarily(implies(X0,X0)))) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f8424,plain,
! [X0] :
( ~ sQ202_spl
| ~ is_a_theorem(not(necessarily(implies(X0,X0)))) ),
inference(component_clause,[status(thm)],[f8423]) ).
fof(f8426,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f8381,f8423,f1459,f644,f630,f397,f386,f665,f452,f341]) ).
fof(f8427,definition,
! [X0] :
( sQ203_spl
<=> ~ is_a_theorem(not(necessarily(equiv(X0,X0)))) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f8428,plain,
! [X0] :
( ~ sQ203_spl
| ~ is_a_theorem(not(necessarily(equiv(X0,X0)))) ),
inference(component_clause,[status(thm)],[f8427]) ).
fof(f8430,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f8382,f8427,f1459,f644,f630,f658,f518,f397,f386,f665,f452,f341]) ).
fof(f8440,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ198_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f8393,f1471,f7256,f644,f630,f397,f386,f766,f744,f463,f341]) ).
fof(f8441,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ197_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f8394,f1471,f7004,f644,f630,f658,f518,f397,f386,f766,f744,f463,f341]) ).
fof(f8442,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ195_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f8396,f1471,f6685,f644,f630,f397,f386,f665,f463,f341]) ).
fof(f8443,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ194_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f8397,f1471,f6648,f644,f630,f658,f518,f397,f386,f665,f463,f341]) ).
fof(f8444,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| sQ196_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f8399,f1471,f6723,f397,f386,f644,f630,f463,f341]) ).
fof(f8452,plain,
( sQ66_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1495]) ).
fof(f8453,plain,
( sQ71_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1496]) ).
fof(f8454,plain,
( sQ74_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1497]) ).
fof(f8455,plain,
( sQ55_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1498]) ).
fof(f8456,plain,
( sQ77_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1499]) ).
fof(f8457,plain,
! [X0] :
( ~ sQ202_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ is_a_theorem(possibly(and(X0,not(X0)))) ),
inference(forward_demodulation,[status(thm)],[f1117,f8424]) ).
fof(f8571,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X1,X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f700,f3447]) ).
fof(f8577,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ199_spl
| ~ is_a_theorem(not(possibly(or(X0,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1047,f8412]) ).
fof(f8592,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1119,f1367]) ).
fof(f8595,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1119,f1345]) ).
fof(f8596,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1119,f1344]) ).
fof(f8597,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1119,f1348]) ).
fof(f8611,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)],[f1119,f1166]) ).
fof(f8616,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),not(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1119,f3034]) ).
fof(f8620,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(possibly(X1),X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1119,f1182]) ).
fof(f8633,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)],[f1119,f1165]) ).
fof(f8636,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(X1),X0))) ),
inference(paramodulation,[status(thm)],[f1119,f464]) ).
fof(f8656,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),possibly(X0))) ),
inference(forward_demodulation,[status(thm)],[f943,f8616]) ).
fof(f8688,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1118,f1367]) ).
fof(f8691,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1118,f1345]) ).
fof(f8692,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1118,f1344]) ).
fof(f8693,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1118,f1348]) ).
fof(f8707,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)],[f1118,f1166]) ).
fof(f8712,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),not(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1118,f3034]) ).
fof(f8716,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,X2),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1118,f1182]) ).
fof(f8729,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)],[f1118,f1165]) ).
fof(f8732,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f1118,f464]) ).
fof(f8752,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f645,f8712]) ).
fof(f8792,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(and(X1,possibly(X2)),implies(X1,necessarily(not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1116,f3188]) ).
fof(f8793,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(and(X1,possibly(X2)),implies(X1,necessarily(not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1116,f3187]) ).
fof(f8794,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f1116,f3186]) ).
fof(f8838,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(and(X1,implies(X2,X3)),implies(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f1115,f3188]) ).
fof(f8839,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),implies(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f1115,f3187]) ).
fof(f8840,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))),X3)) ),
inference(paramodulation,[status(thm)],[f1115,f3186]) ).
fof(f8860,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ202_spl
| ~ sQ83_spl
| ~ is_a_theorem(possibly(and(necessarily(not(X0)),possibly(X0)))) ),
inference(paramodulation,[status(thm)],[f943,f8457]) ).
fof(f8861,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ202_spl
| ~ sQ164_spl
| ~ is_a_theorem(possibly(and(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1115,f8457]) ).
fof(f8862,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ202_spl
| ~ is_a_theorem(possibly(and(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1116,f8457]) ).
fof(f8863,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ202_spl
| ~ sQ164_spl
| ~ is_a_theorem(possibly(and(and(X0,not(X1)),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f645,f8457]) ).
fof(f8872,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),X2),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1345]) ).
fof(f8874,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),implies(X1,not(X0))),X2)) ),
inference(paramodulation,[status(thm)],[f1121,f1176]) ).
fof(f8876,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1210]) ).
fof(f8877,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)],[f1121,f1171]) ).
fof(f8878,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(not(X0),X1),implies(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1121,f1146]) ).
fof(f8879,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)],[f1121,f442]) ).
fof(f8880,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)],[f1121,f420]) ).
fof(f8881,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)],[f1121,f431]) ).
fof(f8883,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f1121,f1145]) ).
fof(f8894,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ185_spl
| ~ is_a_theorem(not(implies(equiv(not(X0),X1),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1121,f3057]) ).
fof(f8905,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,not(X2)),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1120,f1344]) ).
fof(f8907,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,not(X1)),implies(X0,not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1120,f1175]) ).
fof(f8908,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1120,f1210]) ).
fof(f8909,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,not(X1)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1120,f1171]) ).
fof(f8910,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)],[f1120,f1146]) ).
fof(f8911,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)],[f1120,f442]) ).
fof(f8912,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)],[f1120,f420]) ).
fof(f8913,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)],[f1120,f431]) ).
fof(f8914,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(X1)))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f1120,f1170]) ).
fof(f8929,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ202_spl
| ~ is_a_theorem(possibly(and(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1117,f8457]) ).
fof(f8952,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(necessarily(implies(X1,X2)),possibly(and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1117,f3188]) ).
fof(f8953,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(necessarily(implies(X1,X2)),possibly(and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1117,f3187]) ).
fof(f8954,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f1117,f3186]) ).
fof(f8978,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ202_spl
| ~ sQ83_spl
| ~ is_a_theorem(possibly(and(necessarily(possibly(X0)),possibly(necessarily(not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1114,f8457]) ).
fof(f9001,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(necessarily(possibly(X1)),possibly(necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1114,f3188]) ).
fof(f9002,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(necessarily(possibly(X1)),possibly(necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1114,f3187]) ).
fof(f9003,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(necessarily(possibly(X0)),possibly(necessarily(not(X0)))),X1)) ),
inference(paramodulation,[status(thm)],[f1114,f3186]) ).
fof(f9208,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ186_spl
| ~ is_a_theorem(not(implies(equiv(X0,not(X1)),or(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1120,f3061]) ).
fof(f9211,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(implies(and(X0,not(X1)),implies(implies(X0,X1),X2)))) ),
inference(paramodulation,[status(thm)],[f1118,f3074]) ).
fof(f9212,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(implies(necessarily(not(X0)),implies(possibly(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f1119,f3074]) ).
fof(f9214,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1355,f3015]) ).
fof(f9223,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)],[f1118,f1355]) ).
fof(f9224,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)],[f1119,f1355]) ).
fof(f9226,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)],[f1118,f1355]) ).
fof(f9227,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)],[f1119,f1355]) ).
fof(f9262,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1885,f1355]) ).
fof(f9377,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1884,f1355]) ).
fof(f9492,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1883,f1355]) ).
fof(f9607,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1882,f1355]) ).
fof(f9690,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1356,f1882]) ).
fof(f9691,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1356,f1883]) ).
fof(f9692,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1356,f1884]) ).
fof(f9693,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1356,f1885]) ).
fof(f9694,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1356,f3015]) ).
fof(f9703,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1118,f1356]) ).
fof(f9704,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1119,f1356]) ).
fof(f9742,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1881,f1356]) ).
fof(f9743,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1881,f1355]) ).
fof(f9830,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1244,f1881]) ).
fof(f9831,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1244,f1882]) ).
fof(f9832,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1244,f1883]) ).
fof(f9833,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1244,f1884]) ).
fof(f9834,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1244,f1885]) ).
fof(f9835,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1244,f3015]) ).
fof(f9844,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1047,f1244]) ).
fof(f9845,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1121,f1244]) ).
fof(f9846,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1120,f1244]) ).
fof(f9847,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f1244]) ).
fof(f9854,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1245,f1881]) ).
fof(f9855,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1245,f1882]) ).
fof(f9856,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1245,f1883]) ).
fof(f9857,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1245,f1884]) ).
fof(f9858,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1245,f1885]) ).
fof(f9859,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1245,f3015]) ).
fof(f9868,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1047,f1245]) ).
fof(f9869,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1245]) ).
fof(f9870,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1120,f1245]) ).
fof(f9871,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1245]) ).
fof(f9878,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1251,f1881]) ).
fof(f9879,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1251,f1882]) ).
fof(f9880,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1251,f1883]) ).
fof(f9881,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1251,f1884]) ).
fof(f9882,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1251,f1885]) ).
fof(f9883,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1251,f3015]) ).
fof(f9892,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)],[f1047,f1251]) ).
fof(f9894,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)],[f1047,f1251]) ).
fof(f9901,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1252,f1881]) ).
fof(f9902,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1252,f1882]) ).
fof(f9903,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1252,f1883]) ).
fof(f9904,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1252,f1884]) ).
fof(f9905,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1252,f1885]) ).
fof(f9906,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1252,f3015]) ).
fof(f9953,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1880,f1356]) ).
fof(f9954,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1880,f1355]) ).
fof(f10026,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1880,f1245]) ).
fof(f10027,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1880,f1244]) ).
fof(f10029,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1880,f1252]) ).
fof(f10030,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1880,f1251]) ).
fof(f10073,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1879,f1356]) ).
fof(f10074,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1879,f1355]) ).
fof(f10146,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1879,f1245]) ).
fof(f10147,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1879,f1244]) ).
fof(f10149,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1879,f1252]) ).
fof(f10150,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ40_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1879,f1251]) ).
fof(f10193,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1878,f1356]) ).
fof(f10194,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1878,f1355]) ).
fof(f10266,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1878,f1245]) ).
fof(f10267,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1878,f1244]) ).
fof(f10269,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1878,f1252]) ).
fof(f10270,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1878,f1251]) ).
fof(f10313,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,implies(X4,or(X4,X5))))) ),
inference(resolution,[status(thm)],[f1877,f1356]) ).
fof(f10314,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,implies(X4,or(X5,X4))))) ),
inference(resolution,[status(thm)],[f1877,f1355]) ).
fof(f10386,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,implies(and(X4,X5),X5)))) ),
inference(resolution,[status(thm)],[f1877,f1245]) ).
fof(f10387,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,implies(and(X4,X5),X4)))) ),
inference(resolution,[status(thm)],[f1877,f1244]) ).
fof(f10389,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,implies(X4,or(X5,X4))))) ),
inference(resolution,[status(thm)],[f1877,f1252]) ).
fof(f10390,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,implies(X4,implies(X5,X4))))) ),
inference(resolution,[status(thm)],[f1877,f1251]) ).
fof(f10405,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,implies(X4,or(X4,X5))))) ),
inference(resolution,[status(thm)],[f1253,f1877]) ).
fof(f10406,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1253,f1878]) ).
fof(f10407,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1253,f1879]) ).
fof(f10408,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1253,f1880]) ).
fof(f10409,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1253,f1881]) ).
fof(f10410,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1253,f1882]) ).
fof(f10411,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1253,f1883]) ).
fof(f10412,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1253,f1884]) ).
fof(f10413,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1253,f1885]) ).
fof(f10414,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1253,f3015]) ).
fof(f10423,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1047,f1253]) ).
fof(f10461,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,implies(X4,or(X4,X5))))) ),
inference(resolution,[status(thm)],[f1876,f1356]) ).
fof(f10462,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,implies(X4,or(X5,X4))))) ),
inference(resolution,[status(thm)],[f1876,f1355]) ).
fof(f10534,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,implies(and(X4,X5),X5)))) ),
inference(resolution,[status(thm)],[f1876,f1245]) ).
fof(f10535,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,implies(and(X4,X5),X4)))) ),
inference(resolution,[status(thm)],[f1876,f1244]) ).
fof(f10537,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,implies(X4,or(X4,X5))))) ),
inference(resolution,[status(thm)],[f1876,f1253]) ).
fof(f10538,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,implies(X4,or(X5,X4))))) ),
inference(resolution,[status(thm)],[f1876,f1252]) ).
fof(f10539,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,implies(X4,implies(X5,X4))))) ),
inference(resolution,[status(thm)],[f1876,f1251]) ).
fof(f10550,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f1876]) ).
fof(f10551,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f1877]) ).
fof(f10552,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f1878]) ).
fof(f10553,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f1879]) ).
fof(f10554,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f1880]) ).
fof(f10555,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f1881]) ).
fof(f10556,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f1882]) ).
fof(f10557,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f1883]) ).
fof(f10558,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f1884]) ).
fof(f10559,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f1885]) ).
fof(f10560,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f3015]) ).
fof(f10561,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(and(necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2016,f700]) ).
fof(f10562,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))),X0))) ),
inference(resolution,[status(thm)],[f2016,f1208]) ).
fof(f10563,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(necessarily(possibly(necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl)))))) ),
inference(resolution,[status(thm)],[f2016,f1152]) ).
fof(f10564,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(implies(X0,necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f1148]) ).
fof(f10565,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(or(X0,necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f1164]) ).
fof(f10566,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(or(necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))),X0)) ),
inference(resolution,[status(thm)],[f2016,f1142]) ).
fof(f10567,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(and(necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f3013]) ).
fof(f10568,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| is_a_theorem(necessarily(necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f2016,f666]) ).
fof(f10570,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(necessarily(implies(necessarily(X3),X3))))) ),
inference(resolution,[status(thm)],[f2009,f1876]) ).
fof(f10571,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(necessarily(implies(necessarily(X3),X3))))) ),
inference(resolution,[status(thm)],[f2009,f1877]) ).
fof(f10572,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f2009,f1878]) ).
fof(f10573,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f2009,f1879]) ).
fof(f10574,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f2009,f1880]) ).
fof(f10575,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f2009,f1881]) ).
fof(f10576,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f2009,f1882]) ).
fof(f10577,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f2009,f1883]) ).
fof(f10578,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f2009,f1884]) ).
fof(f10579,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(necessarily(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f2009,f1885]) ).
fof(f10580,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(necessarily(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f2009,f3015]) ).
fof(f10581,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(and(necessarily(necessarily(implies(necessarily(X1),X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2009,f700]) ).
fof(f10582,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(implies(necessarily(X1),X1))),X0))) ),
inference(resolution,[status(thm)],[f2009,f1208]) ).
fof(f10583,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(possibly(necessarily(necessarily(implies(necessarily(X0),X0)))))) ),
inference(resolution,[status(thm)],[f2009,f1152]) ).
fof(f10584,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(implies(X0,necessarily(necessarily(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f2009,f1148]) ).
fof(f10585,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(or(X0,necessarily(necessarily(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f2009,f1164]) ).
fof(f10586,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(or(necessarily(necessarily(implies(necessarily(X0),X0))),X1)) ),
inference(resolution,[status(thm)],[f2009,f1142]) ).
fof(f10587,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(and(necessarily(necessarily(implies(necessarily(X0),X0))),necessarily(necessarily(implies(necessarily(X0),X0))))) ),
inference(resolution,[status(thm)],[f2009,f3013]) ).
fof(f10588,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(necessarily(necessarily(implies(necessarily(X0),X0))))) ),
inference(resolution,[status(thm)],[f2009,f666]) ).
fof(f10589,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(possibly(necessarily(equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f3301,f1131]) ).
fof(f10590,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(possibly(necessarily(equiv(X3,X3)))))) ),
inference(resolution,[status(thm)],[f3301,f1876]) ).
fof(f10591,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(possibly(necessarily(equiv(X3,X3)))))) ),
inference(resolution,[status(thm)],[f3301,f1877]) ).
fof(f10592,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3301,f1878]) ).
fof(f10593,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3301,f1879]) ).
fof(f10594,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3301,f1880]) ).
fof(f10595,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3301,f1881]) ).
fof(f10596,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3301,f1882]) ).
fof(f10597,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3301,f1883]) ).
fof(f10598,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3301,f1884]) ).
fof(f10599,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(possibly(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3301,f1885]) ).
fof(f10600,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(possibly(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3301,f3015]) ).
fof(f10601,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(possibly(necessarily(equiv(X1,X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3301,f700]) ).
fof(f10602,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(necessarily(possibly(necessarily(equiv(X1,X1)))),X0))) ),
inference(resolution,[status(thm)],[f3301,f1208]) ).
fof(f10603,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(necessarily(possibly(necessarily(equiv(X0,X0))))))) ),
inference(resolution,[status(thm)],[f3301,f1152]) ).
fof(f10604,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,necessarily(possibly(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3301,f1148]) ).
fof(f10605,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,necessarily(possibly(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3301,f1164]) ).
fof(f10606,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(possibly(necessarily(equiv(X0,X0)))),X1)) ),
inference(resolution,[status(thm)],[f3301,f1142]) ).
fof(f10607,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(possibly(necessarily(equiv(X0,X0)))),necessarily(possibly(necessarily(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f3301,f3013]) ).
fof(f10608,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(necessarily(possibly(necessarily(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f3301,f666]) ).
fof(f10609,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),possibly(necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f10589,f1876]) ).
fof(f10610,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),possibly(necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f10589,f1877]) ).
fof(f10611,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f10589,f1878]) ).
fof(f10612,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f10589,f1879]) ).
fof(f10613,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f10589,f1880]) ).
fof(f10614,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f10589,f1881]) ).
fof(f10615,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f10589,f1882]) ).
fof(f10616,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f10589,f1883]) ).
fof(f10617,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f10589,f1884]) ).
fof(f10618,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),possibly(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f10589,f1885]) ).
fof(f10619,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),possibly(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f10589,f3015]) ).
fof(f10620,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(possibly(necessarily(equiv(X1,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f10589,f700]) ).
fof(f10621,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(possibly(necessarily(equiv(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f10589,f1208]) ).
fof(f10622,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(possibly(necessarily(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f10589,f1152]) ).
fof(f10623,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,possibly(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f10589,f1148]) ).
fof(f10624,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,possibly(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f10589,f1164]) ).
fof(f10625,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(possibly(necessarily(equiv(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f10589,f1142]) ).
fof(f10626,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(possibly(necessarily(equiv(X0,X0))),possibly(necessarily(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f10589,f3013]) ).
fof(f10628,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1875,f10589]) ).
fof(f10662,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1875,f1356]) ).
fof(f10663,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1875,f1355]) ).
fof(f10674,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1875,f3301]) ).
fof(f10678,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1875,f2016]) ).
fof(f10679,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1875,f2009]) ).
fof(f10738,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1875,f1245]) ).
fof(f10739,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1875,f1244]) ).
fof(f10741,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1875,f1253]) ).
fof(f10742,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1875,f1252]) ).
fof(f10743,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1875,f1251]) ).
fof(f10753,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1874,f10589]) ).
fof(f10787,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1874,f1356]) ).
fof(f10788,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1874,f1355]) ).
fof(f10799,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1874,f3301]) ).
fof(f10803,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1874,f2016]) ).
fof(f10804,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1874,f2009]) ).
fof(f10863,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1874,f1245]) ).
fof(f10864,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1874,f1244]) ).
fof(f10866,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1874,f1253]) ).
fof(f10867,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1874,f1252]) ).
fof(f10868,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1874,f1251]) ).
fof(f10878,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1873,f10589]) ).
fof(f10912,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1873,f1356]) ).
fof(f10913,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1873,f1355]) ).
fof(f10924,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1873,f3301]) ).
fof(f10928,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1873,f2016]) ).
fof(f10929,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1873,f2009]) ).
fof(f10988,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1873,f1245]) ).
fof(f10989,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1873,f1244]) ).
fof(f10991,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1873,f1253]) ).
fof(f10992,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1873,f1252]) ).
fof(f10993,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1873,f1251]) ).
fof(f11003,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1872,f10589]) ).
fof(f11037,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1872,f1356]) ).
fof(f11038,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1872,f1355]) ).
fof(f11049,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1872,f3301]) ).
fof(f11053,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1872,f2016]) ).
fof(f11054,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1872,f2009]) ).
fof(f11113,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1872,f1245]) ).
fof(f11114,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1872,f1244]) ).
fof(f11116,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1872,f1253]) ).
fof(f11117,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1872,f1252]) ).
fof(f11118,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ25_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1872,f1251]) ).
fof(f11128,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(necessarily(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f3176,f1131]) ).
fof(f11129,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3176,f1872]) ).
fof(f11130,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3176,f1873]) ).
fof(f11131,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3176,f1874]) ).
fof(f11132,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3176,f1875]) ).
fof(f11133,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(possibly(necessarily(implies(X3,X3)))))) ),
inference(resolution,[status(thm)],[f3176,f1876]) ).
fof(f11134,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(possibly(necessarily(implies(X3,X3)))))) ),
inference(resolution,[status(thm)],[f3176,f1877]) ).
fof(f11135,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3176,f1878]) ).
fof(f11136,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3176,f1879]) ).
fof(f11137,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3176,f1880]) ).
fof(f11138,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3176,f1881]) ).
fof(f11139,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3176,f1882]) ).
fof(f11140,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3176,f1883]) ).
fof(f11141,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3176,f1884]) ).
fof(f11142,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(possibly(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3176,f1885]) ).
fof(f11143,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(possibly(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3176,f3015]) ).
fof(f11144,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(possibly(necessarily(implies(X1,X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3176,f700]) ).
fof(f11145,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(necessarily(possibly(necessarily(implies(X1,X1)))),X0))) ),
inference(resolution,[status(thm)],[f3176,f1208]) ).
fof(f11146,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(possibly(necessarily(implies(X0,X0))))))) ),
inference(resolution,[status(thm)],[f3176,f1152]) ).
fof(f11147,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(possibly(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3176,f1148]) ).
fof(f11148,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(possibly(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3176,f1164]) ).
fof(f11149,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(possibly(necessarily(implies(X0,X0)))),X1)) ),
inference(resolution,[status(thm)],[f3176,f1142]) ).
fof(f11150,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(possibly(necessarily(implies(X0,X0)))),necessarily(possibly(necessarily(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f3176,f3013]) ).
fof(f11151,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(possibly(necessarily(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f3176,f666]) ).
fof(f11153,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),possibly(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f1871,f10589]) ).
fof(f11187,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1871,f1356]) ).
fof(f11188,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1871,f1355]) ).
fof(f11199,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(possibly(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f1871,f3176]) ).
fof(f11200,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(possibly(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f1871,f3301]) ).
fof(f11204,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1871,f2016]) ).
fof(f11205,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(necessarily(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1871,f2009]) ).
fof(f11264,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1871,f1245]) ).
fof(f11265,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1871,f1244]) ).
fof(f11267,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1871,f1253]) ).
fof(f11268,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1871,f1252]) ).
fof(f11269,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1871,f1251]) ).
fof(f11279,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),possibly(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f11128,f1871]) ).
fof(f11280,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f11128,f1872]) ).
fof(f11281,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f11128,f1873]) ).
fof(f11282,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f11128,f1874]) ).
fof(f11283,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f11128,f1875]) ).
fof(f11284,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),possibly(necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f11128,f1876]) ).
fof(f11285,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),possibly(necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f11128,f1877]) ).
fof(f11286,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f11128,f1878]) ).
fof(f11287,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f11128,f1879]) ).
fof(f11288,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f11128,f1880]) ).
fof(f11289,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f11128,f1881]) ).
fof(f11290,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f11128,f1882]) ).
fof(f11291,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f11128,f1883]) ).
fof(f11292,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f11128,f1884]) ).
fof(f11293,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),possibly(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f11128,f1885]) ).
fof(f11294,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),possibly(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f11128,f3015]) ).
fof(f11295,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(possibly(necessarily(implies(X1,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f11128,f700]) ).
fof(f11296,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(possibly(necessarily(implies(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f11128,f1208]) ).
fof(f11297,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(possibly(necessarily(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f11128,f1152]) ).
fof(f11298,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,possibly(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f11128,f1148]) ).
fof(f11299,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,possibly(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f11128,f1164]) ).
fof(f11300,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(possibly(necessarily(implies(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f11128,f1142]) ).
fof(f11301,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(possibly(necessarily(implies(X0,X0))),possibly(necessarily(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f11128,f3013]) ).
fof(f11303,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(necessarily(or(X0,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1047,f11128]) ).
fof(f11304,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(possibly(implies(necessarily(X0),X0))) ),
inference(resolution,[status(thm)],[f1967,f1131]) ).
fof(f11305,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(possibly(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1967,f1871]) ).
fof(f11306,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1967,f1872]) ).
fof(f11307,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1967,f1873]) ).
fof(f11308,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1967,f1874]) ).
fof(f11309,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1967,f1875]) ).
fof(f11310,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(possibly(implies(necessarily(X3),X3))))) ),
inference(resolution,[status(thm)],[f1967,f1876]) ).
fof(f11311,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(possibly(implies(necessarily(X3),X3))))) ),
inference(resolution,[status(thm)],[f1967,f1877]) ).
fof(f11312,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1967,f1878]) ).
fof(f11313,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1967,f1879]) ).
fof(f11314,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1967,f1880]) ).
fof(f11315,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1967,f1881]) ).
fof(f11316,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1967,f1882]) ).
fof(f11317,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1967,f1883]) ).
fof(f11318,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1967,f1884]) ).
fof(f11319,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(possibly(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1967,f1885]) ).
fof(f11320,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(possibly(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1967,f3015]) ).
fof(f11321,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(necessarily(possibly(implies(necessarily(X1),X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1967,f700]) ).
fof(f11322,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(implies(X0,and(necessarily(possibly(implies(necessarily(X1),X1))),X0))) ),
inference(resolution,[status(thm)],[f1967,f1208]) ).
fof(f11323,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(possibly(necessarily(possibly(implies(necessarily(X0),X0)))))) ),
inference(resolution,[status(thm)],[f1967,f1152]) ).
fof(f11324,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(implies(X0,necessarily(possibly(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1967,f1148]) ).
fof(f11325,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(or(X0,necessarily(possibly(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1967,f1164]) ).
fof(f11326,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(or(necessarily(possibly(implies(necessarily(X0),X0))),X1)) ),
inference(resolution,[status(thm)],[f1967,f1142]) ).
fof(f11327,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(necessarily(possibly(implies(necessarily(X0),X0))),necessarily(possibly(implies(necessarily(X0),X0))))) ),
inference(resolution,[status(thm)],[f1967,f3013]) ).
fof(f11328,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(necessarily(possibly(implies(necessarily(X0),X0))))) ),
inference(resolution,[status(thm)],[f1967,f666]) ).
fof(f11329,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(necessarily(X0),X0),possibly(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f11304,f1871]) ).
fof(f11330,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(and(X0,X1),X1),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f11304,f1872]) ).
fof(f11331,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(and(X0,X1),X0),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f11304,f1873]) ).
fof(f11332,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f11304,f1874]) ).
fof(f11333,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f11304,f1875]) ).
fof(f11334,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),possibly(implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f11304,f1876]) ).
fof(f11335,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),possibly(implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f11304,f1877]) ).
fof(f11336,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f11304,f1878]) ).
fof(f11337,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f11304,f1879]) ).
fof(f11338,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f11304,f1880]) ).
fof(f11339,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f11304,f1881]) ).
fof(f11340,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f11304,f1882]) ).
fof(f11341,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f11304,f1883]) ).
fof(f11342,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f11304,f1884]) ).
fof(f11343,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),possibly(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f11304,f1885]) ).
fof(f11344,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),possibly(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f11304,f3015]) ).
fof(f11345,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(possibly(implies(necessarily(X1),X1)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f11304,f700]) ).
fof(f11346,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(implies(X0,and(possibly(implies(necessarily(X1),X1)),X0))) ),
inference(resolution,[status(thm)],[f11304,f1208]) ).
fof(f11347,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(possibly(possibly(implies(necessarily(X0),X0))))) ),
inference(resolution,[status(thm)],[f11304,f1152]) ).
fof(f11348,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(implies(X0,possibly(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f11304,f1148]) ).
fof(f11349,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(or(X0,possibly(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f11304,f1164]) ).
fof(f11350,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(or(possibly(implies(necessarily(X0),X0)),X1)) ),
inference(resolution,[status(thm)],[f11304,f1142]) ).
fof(f11351,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(possibly(implies(necessarily(X0),X0)),possibly(implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f11304,f3013]) ).
fof(f11354,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(possibly(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f3185,f1871]) ).
fof(f11355,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3185,f1872]) ).
fof(f11356,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3185,f1873]) ).
fof(f11357,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3185,f1874]) ).
fof(f11358,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3185,f1875]) ).
fof(f11359,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(possibly(or(X3,not(X3)))))) ),
inference(resolution,[status(thm)],[f3185,f1876]) ).
fof(f11360,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(possibly(or(X3,not(X3)))))) ),
inference(resolution,[status(thm)],[f3185,f1877]) ).
fof(f11361,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3185,f1878]) ).
fof(f11362,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3185,f1879]) ).
fof(f11363,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3185,f1880]) ).
fof(f11364,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3185,f1881]) ).
fof(f11365,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3185,f1882]) ).
fof(f11366,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3185,f1883]) ).
fof(f11367,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3185,f1884]) ).
fof(f11368,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(possibly(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f3185,f1885]) ).
fof(f11369,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(possibly(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f3185,f3015]) ).
fof(f11370,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(possibly(or(X1,not(X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3185,f700]) ).
fof(f11371,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(necessarily(possibly(or(X1,not(X1)))),X0))) ),
inference(resolution,[status(thm)],[f3185,f1208]) ).
fof(f11372,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(possibly(or(X0,not(X0))))))) ),
inference(resolution,[status(thm)],[f3185,f1152]) ).
fof(f11373,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(possibly(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f3185,f1148]) ).
fof(f11374,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(possibly(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f3185,f1164]) ).
fof(f11375,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(possibly(or(X0,not(X0)))),X1)) ),
inference(resolution,[status(thm)],[f3185,f1142]) ).
fof(f11376,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(possibly(or(X0,not(X0)))),necessarily(possibly(or(X0,not(X0)))))) ),
inference(resolution,[status(thm)],[f3185,f3013]) ).
fof(f11377,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(possibly(or(X0,not(X0)))))) ),
inference(resolution,[status(thm)],[f3185,f666]) ).
fof(f11380,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(necessarily(possibly(X0)),possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1114,f3185]) ).
fof(f11381,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1117,f3185]) ).
fof(f11383,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1115,f3185]) ).
fof(f11384,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1116,f3185]) ).
fof(f11390,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),possibly(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f1870,f11128]) ).
fof(f11391,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),possibly(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f1870,f10589]) ).
fof(f11393,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),possibly(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f1870,f11304]) ).
fof(f11426,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1870,f1356]) ).
fof(f11427,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1870,f1355]) ).
fof(f11438,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(possibly(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f1870,f3185]) ).
fof(f11439,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(possibly(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f1870,f3176]) ).
fof(f11440,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(possibly(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f1870,f3301]) ).
fof(f11442,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(possibly(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1870,f1967]) ).
fof(f11445,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1870,f2016]) ).
fof(f11446,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(necessarily(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f1870,f2009]) ).
fof(f11505,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1870,f1245]) ).
fof(f11506,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1870,f1244]) ).
fof(f11508,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1870,f1253]) ).
fof(f11509,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1870,f1252]) ).
fof(f11510,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ113_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1870,f1251]) ).
fof(f11520,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1869,f11128]) ).
fof(f11521,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1869,f10589]) ).
fof(f11523,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1869,f11304]) ).
fof(f11556,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1869,f1356]) ).
fof(f11557,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1869,f1355]) ).
fof(f11568,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f1869,f3185]) ).
fof(f11569,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1869,f3176]) ).
fof(f11570,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1869,f3301]) ).
fof(f11572,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1869,f1967]) ).
fof(f11575,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1869,f2016]) ).
fof(f11576,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1869,f2009]) ).
fof(f11635,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1869,f1245]) ).
fof(f11636,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1869,f1244]) ).
fof(f11638,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1869,f1253]) ).
fof(f11639,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1869,f1252]) ).
fof(f11640,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1869,f1251]) ).
fof(f11650,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),possibly(necessarily(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f1868,f11128]) ).
fof(f11651,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),possibly(necessarily(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f1868,f10589]) ).
fof(f11653,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),possibly(implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f1868,f11304]) ).
fof(f11657,plain,
( ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1868,f723]) ).
fof(f11686,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1868,f1356]) ).
fof(f11687,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1868,f1355]) ).
fof(f11698,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(possibly(or(X0,not(X0)))))) ),
inference(resolution,[status(thm)],[f1868,f3185]) ).
fof(f11699,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(possibly(necessarily(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f1868,f3176]) ).
fof(f11700,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(possibly(necessarily(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f1868,f3301]) ).
fof(f11702,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(possibly(implies(necessarily(X0),X0))))) ),
inference(resolution,[status(thm)],[f1868,f1967]) ).
fof(f11705,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f1868,f2016]) ).
fof(f11706,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(necessarily(implies(necessarily(X0),X0))))) ),
inference(resolution,[status(thm)],[f1868,f2009]) ).
fof(f11765,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1868,f1245]) ).
fof(f11766,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1868,f1244]) ).
fof(f11768,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f1868,f1253]) ).
fof(f11769,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f1868,f1252]) ).
fof(f11770,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f1868,f1251]) ).
fof(f11781,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(or(necessarily(possibly(X0)),X1))
| ~ is_a_theorem(equiv(possibly(necessarily(not(X0))),X1)) ),
inference(paramodulation,[status(thm)],[f1114,f1445]) ).
fof(f11782,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),X2))
| ~ is_a_theorem(equiv(possibly(and(X0,not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1117,f1445]) ).
fof(f11783,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(or(necessarily(not(X0)),X1))
| ~ is_a_theorem(equiv(possibly(X0),X1)) ),
inference(paramodulation,[status(thm)],[f943,f1445]) ).
fof(f11784,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),X3))
| ~ is_a_theorem(equiv(implies(X0,and(X1,not(X2))),X3)) ),
inference(paramodulation,[status(thm)],[f1115,f1445]) ).
fof(f11785,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(or(and(X0,possibly(X1)),X2))
| ~ is_a_theorem(equiv(implies(X0,necessarily(not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1116,f1445]) ).
fof(f11786,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(or(and(X0,not(X1)),X2))
| ~ is_a_theorem(equiv(implies(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f645,f1445]) ).
fof(f11787,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(possibly(X0),X1))
| ~ is_a_theorem(equiv(possibly(X0),X1)) ),
inference(forward_demodulation,[status(thm)],[f1119,f11783]) ).
fof(f11788,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(equiv(implies(X0,X1),X2)) ),
inference(forward_demodulation,[status(thm)],[f1118,f11786]) ).
fof(f11790,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(implies(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f3311,f1122]) ).
fof(f11791,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(or(implies(X0,X0),X1),X2))) ),
inference(resolution,[status(thm)],[f3311,f1868]) ).
fof(f11792,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f3311,f1869]) ).
fof(f11793,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(or(implies(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f3311,f1870]) ).
fof(f11794,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(or(implies(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f3311,f1871]) ).
fof(f11795,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f3311,f1872]) ).
fof(f11796,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f3311,f1873]) ).
fof(f11797,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f3311,f1874]) ).
fof(f11798,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f3311,f1875]) ).
fof(f11799,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(or(implies(X3,X3),X4),X5))) ),
inference(resolution,[status(thm)],[f3311,f1876]) ).
fof(f11800,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(or(implies(X3,X3),X4),X5))) ),
inference(resolution,[status(thm)],[f3311,f1877]) ).
fof(f11801,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f3311,f1878]) ).
fof(f11802,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f3311,f1879]) ).
fof(f11803,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f3311,f1880]) ).
fof(f11804,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f3311,f1881]) ).
fof(f11805,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f3311,f1882]) ).
fof(f11806,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f3311,f1883]) ).
fof(f11807,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f3311,f1884]) ).
fof(f11808,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(or(implies(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f3311,f1885]) ).
fof(f11809,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(or(implies(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f3311,f3015]) ).
fof(f11810,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(or(implies(X1,X1),X2),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3311,f700]) ).
fof(f11811,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(or(implies(X1,X1),X2),X3),X0))) ),
inference(resolution,[status(thm)],[f3311,f1208]) ).
fof(f11812,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(or(implies(X0,X0),X1),X2)))) ),
inference(resolution,[status(thm)],[f3311,f1152]) ).
fof(f11813,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(or(implies(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f3311,f1148]) ).
fof(f11814,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(or(implies(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f3311,f1164]) ).
fof(f11815,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(or(implies(X0,X0),X1),X2),X3)) ),
inference(resolution,[status(thm)],[f3311,f1142]) ).
fof(f11816,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(or(implies(X0,X0),X1),X2),or(or(implies(X0,X0),X1),X2))) ),
inference(resolution,[status(thm)],[f3311,f3013]) ).
fof(f11817,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(or(implies(X0,X0),X1),X2))) ),
inference(resolution,[status(thm)],[f3311,f666]) ).
fof(f11819,definition,
! [X0,X1] :
( sQ204_spl
<=> ~ is_a_theorem(not(or(implies(X0,X0),X1))) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f11820,plain,
! [X0,X1] :
( ~ sQ204_spl
| ~ is_a_theorem(not(or(implies(X0,X0),X1))) ),
inference(component_clause,[status(thm)],[f11819]) ).
fof(f11822,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| sQ173_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f11790,f11819,f1459,f397,f386,f452,f341,f644,f630]) ).
fof(f11823,plain,
( sQ120_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1500]) ).
fof(f11908,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(or(necessarily(possibly(X1)),X0))
| ~ is_a_theorem(equiv(X0,possibly(necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1114,f1403]) ).
fof(f11909,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(or(necessarily(implies(X1,X2)),X0))
| ~ is_a_theorem(equiv(X0,possibly(and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1117,f1403]) ).
fof(f11910,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(or(necessarily(not(X1)),X0))
| ~ is_a_theorem(equiv(X0,possibly(X1))) ),
inference(paramodulation,[status(thm)],[f943,f1403]) ).
fof(f11911,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(or(and(X1,implies(X2,X3)),X0))
| ~ is_a_theorem(equiv(X0,implies(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f1115,f1403]) ).
fof(f11912,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(or(and(X1,possibly(X2)),X0))
| ~ is_a_theorem(equiv(X0,implies(X1,necessarily(not(X2))))) ),
inference(paramodulation,[status(thm)],[f1116,f1403]) ).
fof(f11913,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(or(and(X1,not(X2)),X0))
| ~ is_a_theorem(equiv(X0,implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f645,f1403]) ).
fof(f11914,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(possibly(X1),X0))
| ~ is_a_theorem(equiv(X0,possibly(X1))) ),
inference(forward_demodulation,[status(thm)],[f1119,f11910]) ).
fof(f11915,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(implies(X1,X2),X0))
| ~ is_a_theorem(equiv(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f1118,f11913]) ).
fof(f11916,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(X2,and(not(X0),not(X1))))
| ~ is_a_theorem(implies(or(X0,X1),not(X2))) ),
inference(paramodulation,[status(thm)],[f1047,f2985]) ).
fof(f11917,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(necessarily(possibly(X2)),and(X0,not(X1))))
| ~ is_a_theorem(implies(implies(X0,X1),possibly(necessarily(not(X2))))) ),
inference(paramodulation,[status(thm)],[f1114,f2985]) ).
fof(f11918,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(necessarily(implies(X2,X3)),and(X0,not(X1))))
| ~ is_a_theorem(implies(implies(X0,X1),possibly(and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f1117,f2985]) ).
fof(f11919,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(necessarily(not(X2)),and(X0,not(X1))))
| ~ is_a_theorem(implies(implies(X0,X1),possibly(X2))) ),
inference(paramodulation,[status(thm)],[f943,f2985]) ).
fof(f11920,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X2,implies(X3,X4)),and(X0,not(X1))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,and(X3,not(X4))))) ),
inference(paramodulation,[status(thm)],[f1115,f2985]) ).
fof(f11921,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X2,possibly(X3)),and(X0,not(X1))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,necessarily(not(X3))))) ),
inference(paramodulation,[status(thm)],[f1116,f2985]) ).
fof(f11922,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X2,not(X3)),and(X0,not(X1))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(paramodulation,[status(thm)],[f645,f2985]) ).
fof(f11923,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(not(and(X2,or(X0,X1))))
| ~ is_a_theorem(implies(or(X0,X1),not(X2))) ),
inference(forward_demodulation,[status(thm)],[f1296,f11916]) ).
fof(f11930,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(necessarily(possibly(X1)),necessarily(not(X0))))
| ~ is_a_theorem(implies(possibly(X0),possibly(necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1114,f2984]) ).
fof(f11931,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(necessarily(implies(X1,X2)),necessarily(not(X0))))
| ~ is_a_theorem(implies(possibly(X0),possibly(and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1117,f2984]) ).
fof(f11932,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(necessarily(not(X1)),necessarily(not(X0))))
| ~ is_a_theorem(implies(possibly(X0),possibly(X1))) ),
inference(paramodulation,[status(thm)],[f943,f2984]) ).
fof(f11933,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X1,implies(X2,X3)),necessarily(not(X0))))
| ~ is_a_theorem(implies(possibly(X0),implies(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f1115,f2984]) ).
fof(f11934,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X1,possibly(X2)),necessarily(not(X0))))
| ~ is_a_theorem(implies(possibly(X0),implies(X1,necessarily(not(X2))))) ),
inference(paramodulation,[status(thm)],[f1116,f2984]) ).
fof(f11935,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X1,not(X2)),necessarily(not(X0))))
| ~ is_a_theorem(implies(possibly(X0),implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f645,f2984]) ).
fof(f11939,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,and(not(X0),X1)),equiv(and(not(X0),X1),not(X0)))) ),
inference(resolution,[status(thm)],[f2637,f420]) ).
fof(f11940,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,and(X1,not(X0))),equiv(and(X1,not(X0)),not(X0)))) ),
inference(resolution,[status(thm)],[f2637,f431]) ).
fof(f11941,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,necessarily(not(X0))),equiv(necessarily(not(X0)),not(X0)))) ),
inference(resolution,[status(thm)],[f2637,f745]) ).
fof(f11942,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,not(X0)),equiv(not(X0),not(X0)))) ),
inference(resolution,[status(thm)],[f2637,f3447]) ).
fof(f11943,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X1,not(X0)),equiv(not(X0),not(X1))))
| ~ is_a_theorem(or(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f1047,f2637]) ).
fof(f11944,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(necessarily(possibly(X1)),X0),equiv(X0,not(necessarily(possibly(X1))))))
| ~ is_a_theorem(implies(X0,possibly(necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1114,f2637]) ).
fof(f11945,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(necessarily(implies(X1,X2)),X0),equiv(X0,not(necessarily(implies(X1,X2))))))
| ~ is_a_theorem(implies(X0,possibly(and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1117,f2637]) ).
fof(f11947,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X1,implies(X2,X3)),X0),equiv(X0,not(and(X1,implies(X2,X3))))))
| ~ is_a_theorem(implies(X0,implies(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f1115,f2637]) ).
fof(f11948,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X1,possibly(X2)),X0),equiv(X0,not(and(X1,possibly(X2))))))
| ~ is_a_theorem(implies(X0,implies(X1,necessarily(not(X2))))) ),
inference(paramodulation,[status(thm)],[f1116,f2637]) ).
fof(f11950,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(necessarily(possibly(X1)),X0),equiv(X0,possibly(necessarily(not(X1))))))
| ~ is_a_theorem(implies(X0,possibly(necessarily(not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f11944]) ).
fof(f11951,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(necessarily(implies(X1,X2)),X0),equiv(X0,possibly(and(X1,not(X2))))))
| ~ is_a_theorem(implies(X0,possibly(and(X1,not(X2))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f11945]) ).
fof(f11954,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X1,implies(X2,X3)),X0),equiv(X0,implies(X1,and(X2,not(X3))))))
| ~ is_a_theorem(implies(X0,implies(X1,and(X2,not(X3))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f11947]) ).
fof(f11955,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X1,possibly(X2)),X0),equiv(X0,implies(X1,necessarily(not(X2))))))
| ~ is_a_theorem(implies(X0,implies(X1,necessarily(not(X2))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f11948]) ).
fof(f11958,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),implies(and(not(X0),X2),X1))) ),
inference(resolution,[status(thm)],[f2602,f420]) ).
fof(f11959,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),implies(and(X2,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f2602,f431]) ).
fof(f11960,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),implies(necessarily(not(X0)),X1))) ),
inference(resolution,[status(thm)],[f2602,f745]) ).
fof(f11962,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X1,X2),implies(not(X0),X2)))
| ~ is_a_theorem(or(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f1047,f2602]) ).
fof(f11963,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(necessarily(possibly(X1)),X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,possibly(necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1114,f2602]) ).
fof(f11964,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(necessarily(implies(X1,X2)),X3),implies(X0,X3)))
| ~ is_a_theorem(implies(X0,possibly(and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1117,f2602]) ).
fof(f11966,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(and(X1,implies(X2,X3)),X4),implies(X0,X4)))
| ~ is_a_theorem(implies(X0,implies(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f1115,f2602]) ).
fof(f11967,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(and(X1,possibly(X2)),X3),implies(X0,X3)))
| ~ is_a_theorem(implies(X0,implies(X1,necessarily(not(X2))))) ),
inference(paramodulation,[status(thm)],[f1116,f2602]) ).
fof(f11970,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X1,X2),or(X0,X2)))
| ~ is_a_theorem(or(X0,not(X1))) ),
inference(forward_demodulation,[status(thm)],[f1047,f11962]) ).
fof(f11973,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(necessarily(not(X1)),X2)),implies(or(or(X2,possibly(X1)),not(X0)),implies(necessarily(not(X1)),X2)))) ),
inference(resolution,[status(thm)],[f2764,f1232]) ).
fof(f11974,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(and(X1,not(X2)),X3)),implies(or(or(X3,implies(X1,X2)),not(X0)),implies(and(X1,not(X2)),X3)))) ),
inference(resolution,[status(thm)],[f2764,f1231]) ).
fof(f11975,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(or(or(X1,or(X1,X2)),not(X0)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f2764,f1221]) ).
fof(f11976,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(or(or(X2,not(not(X1))),not(X0)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f2764,f1233]) ).
fof(f11977,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(or(or(X2,not(X1)),not(X0)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f2764,f1044]) ).
fof(f11978,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,not(X2)),equiv(not(X2),X1))),implies(or(or(X2,X1),not(X0)),implies(implies(X1,not(X2)),equiv(not(X2),X1))))) ),
inference(resolution,[status(thm)],[f2764,f1162]) ).
fof(f11979,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),or(X3,X2))),implies(or(or(X3,X1),not(X0)),implies(implies(X1,X2),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f2764,f1287]) ).
fof(f11980,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),implies(or(not(X3),X1),X2))),implies(or(or(X3,X2),not(X0)),implies(implies(X1,X2),implies(or(not(X3),X1),X2))))) ),
inference(resolution,[status(thm)],[f2764,f1206]) ).
fof(f11981,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(or(equiv(not(X1),X2),not(X0)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f2764,f1202]) ).
fof(f11982,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(or(equiv(X2,not(X1)),not(X0)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f2764,f1169]) ).
fof(f11983,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(or(equiv(X1,X2),not(X0)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f2764,f486]) ).
fof(f11984,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(or(equiv(X2,X1),not(X0)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f2764,f497]) ).
fof(f11985,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(or(X1,X2),implies(X3,X2))),implies(or(implies(X3,not(X1)),not(X0)),implies(or(X1,X2),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f2764,f1285]) ).
fof(f11986,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(or(X1,X2),equiv(X2,not(X1)))),implies(or(implies(X2,not(X1)),not(X0)),implies(or(X1,X2),equiv(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f2764,f1163]) ).
fof(f11987,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(or(implies(X1,implies(X1,X2)),not(X0)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f2764,f398]) ).
fof(f11988,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| is_a_theorem(implies(or(X0,implies(or(X1,X2),implies(or(X3,not(X1)),X2))),implies(or(implies(X3,X2),not(X0)),implies(or(X1,X2),implies(or(X3,not(X1)),X2))))) ),
inference(resolution,[status(thm)],[f2764,f1207]) ).
fof(f11989,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),implies(or(X3,X1),X2))),implies(or(implies(X3,X2),not(X0)),implies(implies(X1,X2),implies(or(X3,X1),X2))))) ),
inference(resolution,[status(thm)],[f2764,f475]) ).
fof(f11990,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),implies(X3,X2))),implies(or(implies(X3,X1),not(X0)),implies(implies(X1,X2),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f2764,f409]) ).
fof(f11991,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),equiv(X2,X1))),implies(or(implies(X2,X1),not(X0)),implies(implies(X1,X2),equiv(X2,X1))))) ),
inference(resolution,[status(thm)],[f2764,f508]) ).
fof(f11992,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(and(X1,X2),not(X0)),X1))) ),
inference(resolution,[status(thm)],[f2764,f420]) ).
fof(f11993,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(and(X2,X1),not(X0)),X1))) ),
inference(resolution,[status(thm)],[f2764,f431]) ).
fof(f11994,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(necessarily(not(X1)),necessarily(X2))),implies(or(necessarily(or(X1,X2)),not(X0)),implies(necessarily(not(X1)),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f2764,f1159]) ).
fof(f11995,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(necessarily(X1),necessarily(X2))),implies(or(necessarily(implies(X1,X2)),not(X0)),implies(necessarily(X1),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f2764,f734]) ).
fof(f11996,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,necessarily(necessarily(X1))),implies(or(necessarily(X1),not(X0)),necessarily(necessarily(X1))))) ),
inference(resolution,[status(thm)],[f2764,f756]) ).
fof(f11997,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(necessarily(X1),not(X0)),X1))) ),
inference(resolution,[status(thm)],[f2764,f745]) ).
fof(f12003,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,necessarily(possibly(X1))),implies(or(X1,not(X0)),necessarily(possibly(X1))))) ),
inference(resolution,[status(thm)],[f2764,f767]) ).
fof(f12011,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,X1))),implies(or(X2,not(X0)),implies(X1,and(X2,X1))))) ),
inference(resolution,[status(thm)],[f2764,f442]) ).
fof(f12012,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(or(X2,not(X0)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f2764,f387]) ).
fof(f12014,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,or(X1,and(X2,not(X1)))),implies(or(X2,not(X0)),or(X1,and(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f2764,f1212]) ).
fof(f12016,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(or(X2,not(X0)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f2764,f464]) ).
fof(f12017,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(or(X1,not(X0)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f2764,f453]) ).
fof(f12018,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,X1)),implies(or(X1,not(X0)),and(X1,X1)))) ),
inference(resolution,[status(thm)],[f2764,f519]) ).
fof(f12019,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(X1,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f2764,f3447]) ).
fof(f12020,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X2,X1),implies(or(not(X0),not(X2)),X1)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(paramodulation,[status(thm)],[f1047,f2764]) ).
fof(f12021,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(not(equiv(X0,X0))),necessarily(X1))) ),
inference(resolution,[status(thm)],[f2274,f4559]) ).
fof(f12022,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(not(implies(X0,X0))),necessarily(X1))) ),
inference(resolution,[status(thm)],[f2274,f3314]) ).
fof(f12025,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(not(X0)),necessarily(not(X0)))) ),
inference(resolution,[status(thm)],[f2274,f3181]) ).
fof(f12049,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(resolution,[status(thm)],[f2407,f1166]) ).
fof(f12064,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ204_spl
| ~ is_a_theorem(not(or(or(X0,not(X0)),X1))) ),
inference(paramodulation,[status(thm)],[f1047,f11820]) ).
fof(f12077,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f2987,f1194]) ).
fof(f12079,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(and(X3,X4),X4))) ),
inference(resolution,[status(thm)],[f2987,f1176]) ).
fof(f12080,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(and(X3,X4),X3))) ),
inference(resolution,[status(thm)],[f2987,f1175]) ).
fof(f12081,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(necessarily(X3),X3))) ),
inference(resolution,[status(thm)],[f2987,f1179]) ).
fof(f12082,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(X3,or(X3,X4)))) ),
inference(resolution,[status(thm)],[f2987,f1183]) ).
fof(f12083,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(X3,or(X4,X3)))) ),
inference(resolution,[status(thm)],[f2987,f1182]) ).
fof(f12086,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(and(X0,and(X1,not(X2))),implies(X1,X2)),X3)) ),
inference(resolution,[status(thm)],[f2987,f1345]) ).
fof(f12087,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(and(and(X0,not(X1)),X2),implies(X0,X1)),X3)) ),
inference(resolution,[status(thm)],[f2987,f1344]) ).
fof(f12088,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(necessarily(and(X0,not(X1))),implies(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f2987,f1348]) ).
fof(f12089,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(not(X0),implies(not(X1),X0)),X1)) ),
inference(resolution,[status(thm)],[f2987,f1211]) ).
fof(f12090,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(and(X0,not(X1)),implies(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f2987,f3031]) ).
fof(f12093,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(not(X1),implies(X2,X3)),X0))
| ~ is_a_theorem(or(X0,or(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f1047,f2987]) ).
fof(f12094,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,implies(X2,necessarily(possibly(X3)))),X0))
| ~ is_a_theorem(or(X0,implies(X1,and(X2,possibly(necessarily(not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1114,f2987]) ).
fof(f12095,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,implies(X2,necessarily(implies(X3,X4)))),X0))
| ~ is_a_theorem(or(X0,implies(X1,and(X2,possibly(and(X3,not(X4))))))) ),
inference(paramodulation,[status(thm)],[f1117,f2987]) ).
fof(f12096,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,implies(X2,necessarily(not(X3)))),X0))
| ~ is_a_theorem(or(X0,implies(X1,and(X2,possibly(X3))))) ),
inference(paramodulation,[status(thm)],[f943,f2987]) ).
fof(f12097,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,implies(X2,and(X3,implies(X4,X5)))),X0))
| ~ is_a_theorem(or(X0,implies(X1,and(X2,implies(X3,and(X4,not(X5))))))) ),
inference(paramodulation,[status(thm)],[f1115,f2987]) ).
fof(f12098,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,implies(X2,and(X3,possibly(X4)))),X0))
| ~ is_a_theorem(or(X0,implies(X1,and(X2,implies(X3,necessarily(not(X4))))))) ),
inference(paramodulation,[status(thm)],[f1116,f2987]) ).
fof(f12099,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,implies(X2,and(X3,not(X4)))),X0))
| ~ is_a_theorem(or(X0,implies(X1,and(X2,implies(X3,X4))))) ),
inference(paramodulation,[status(thm)],[f645,f2987]) ).
fof(f12100,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(not(X0),or(X1,X0)),X1)) ),
inference(forward_demodulation,[status(thm)],[f1047,f12089]) ).
fof(f12107,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f2986,f1194]) ).
fof(f12109,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f2986,f1176]) ).
fof(f12110,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f2986,f1175]) ).
fof(f12111,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f2986,f1179]) ).
fof(f12112,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f2986,f1183]) ).
fof(f12113,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f2986,f1182]) ).
fof(f12116,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(and(X0,necessarily(not(X1))),possibly(X1)),X2)) ),
inference(resolution,[status(thm)],[f2986,f1345]) ).
fof(f12117,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(and(necessarily(not(X0)),X1),possibly(X0)),X2)) ),
inference(resolution,[status(thm)],[f2986,f1344]) ).
fof(f12118,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(necessarily(necessarily(not(X0))),possibly(X0)),X1)) ),
inference(resolution,[status(thm)],[f2986,f1348]) ).
fof(f12119,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(necessarily(not(X0)),possibly(X0)),X1)) ),
inference(resolution,[status(thm)],[f2986,f3031]) ).
fof(f12122,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(not(X1),possibly(X2)),X0))
| ~ is_a_theorem(or(X0,or(X1,necessarily(not(X2))))) ),
inference(paramodulation,[status(thm)],[f1047,f2986]) ).
fof(f12123,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,possibly(necessarily(possibly(X2)))),X0))
| ~ is_a_theorem(or(X0,implies(X1,necessarily(possibly(necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1114,f2986]) ).
fof(f12124,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,possibly(necessarily(implies(X2,X3)))),X0))
| ~ is_a_theorem(or(X0,implies(X1,necessarily(possibly(and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1117,f2986]) ).
fof(f12125,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,possibly(necessarily(not(X2)))),X0))
| ~ is_a_theorem(or(X0,implies(X1,necessarily(possibly(X2))))) ),
inference(paramodulation,[status(thm)],[f943,f2986]) ).
fof(f12126,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,possibly(and(X2,implies(X3,X4)))),X0))
| ~ is_a_theorem(or(X0,implies(X1,necessarily(implies(X2,and(X3,not(X4))))))) ),
inference(paramodulation,[status(thm)],[f1115,f2986]) ).
fof(f12127,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,possibly(and(X2,possibly(X3)))),X0))
| ~ is_a_theorem(or(X0,implies(X1,necessarily(implies(X2,necessarily(not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1116,f2986]) ).
fof(f12128,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,possibly(and(X2,not(X3)))),X0))
| ~ is_a_theorem(or(X0,implies(X1,necessarily(implies(X2,X3))))) ),
inference(paramodulation,[status(thm)],[f645,f2986]) ).
fof(f12135,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f2391,f1194]) ).
fof(f12137,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f2391,f1176]) ).
fof(f12138,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f2391,f1175]) ).
fof(f12139,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f2391,f1179]) ).
fof(f12140,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f2391,f1183]) ).
fof(f12141,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f2391,f1182]) ).
fof(f12144,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(and(X0,X1),not(X1)),X2)) ),
inference(resolution,[status(thm)],[f2391,f1345]) ).
fof(f12145,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(and(X0,X1),not(X0)),X2)) ),
inference(resolution,[status(thm)],[f2391,f1344]) ).
fof(f12146,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(necessarily(X0),not(X0)),X1)) ),
inference(resolution,[status(thm)],[f2391,f1348]) ).
fof(f12147,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(or(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f2391,f1356]) ).
fof(f12148,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(or(X1,X0))),X2)) ),
inference(resolution,[status(thm)],[f2391,f1355]) ).
fof(f12149,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(implies(X1,X0))),X2)) ),
inference(resolution,[status(thm)],[f2391,f1354]) ).
fof(f12150,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X0,not(and(not(X1),X0))),X1)) ),
inference(resolution,[status(thm)],[f2391,f1211]) ).
fof(f12151,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X0,not(not(X1))),X1)) ),
inference(resolution,[status(thm)],[f2391,f1150]) ).
fof(f12152,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X0)),X1)) ),
inference(resolution,[status(thm)],[f2391,f3031]) ).
fof(f12155,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(not(X1),not(X2)),X0))
| ~ is_a_theorem(or(X0,or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f1047,f2391]) ).
fof(f12162,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(possibly(X0)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f2990,f1194]) ).
fof(f12164,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(possibly(X0)),implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f2990,f1176]) ).
fof(f12165,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(possibly(X0)),implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f2990,f1175]) ).
fof(f12166,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(possibly(X0)),implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f2990,f1179]) ).
fof(f12167,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(possibly(X0)),implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f2990,f1183]) ).
fof(f12168,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(possibly(X0)),implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f2990,f1182]) ).
fof(f12173,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(possibly(necessarily(possibly(X1)))),X0))
| ~ is_a_theorem(or(X0,possibly(necessarily(possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1114,f2990]) ).
fof(f12174,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(possibly(necessarily(implies(X1,X2)))),X0))
| ~ is_a_theorem(or(X0,possibly(necessarily(possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1117,f2990]) ).
fof(f12175,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(possibly(necessarily(not(X1)))),X0))
| ~ is_a_theorem(or(X0,possibly(necessarily(possibly(X1))))) ),
inference(paramodulation,[status(thm)],[f943,f2990]) ).
fof(f12176,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(possibly(and(X1,implies(X2,X3)))),X0))
| ~ is_a_theorem(or(X0,possibly(necessarily(implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1115,f2990]) ).
fof(f12177,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(possibly(and(X1,possibly(X2)))),X0))
| ~ is_a_theorem(or(X0,possibly(necessarily(implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1116,f2990]) ).
fof(f12178,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(possibly(and(X1,not(X2)))),X0))
| ~ is_a_theorem(or(X0,possibly(necessarily(implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f645,f2990]) ).
fof(f12180,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,and(X1,not(X1))),equiv(and(X1,not(X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f12152,f2637]) ).
fof(f12182,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,X1),implies(or(and(X2,not(X2)),not(X0)),X1))) ),
inference(resolution,[status(thm)],[f12152,f2764]) ).
fof(f12183,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(X0,and(X1,not(X1))),equiv(and(X1,not(X1)),X0))) ),
inference(resolution,[status(thm)],[f12152,f1160]) ).
fof(f12184,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(and(X2,not(X2)),X0),X1))) ),
inference(resolution,[status(thm)],[f12152,f1203]) ).
fof(f12186,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(X1)
| ~ is_a_theorem(and(X0,not(X0))) ),
inference(resolution,[status(thm)],[f12152,f342]) ).
fof(f12187,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(and(X0,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f12152,f1868]) ).
fof(f12188,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f12152,f1869]) ).
fof(f12189,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(and(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f12152,f1870]) ).
fof(f12190,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(and(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f12152,f1871]) ).
fof(f12191,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f12152,f1872]) ).
fof(f12192,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f12152,f1873]) ).
fof(f12193,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f12152,f1874]) ).
fof(f12194,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f12152,f1875]) ).
fof(f12195,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(and(X3,not(X3)),X4))) ),
inference(resolution,[status(thm)],[f12152,f1876]) ).
fof(f12196,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(and(X3,not(X3)),X4))) ),
inference(resolution,[status(thm)],[f12152,f1877]) ).
fof(f12197,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f12152,f1878]) ).
fof(f12198,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f12152,f1879]) ).
fof(f12199,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f12152,f1880]) ).
fof(f12200,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f12152,f1881]) ).
fof(f12201,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f12152,f1882]) ).
fof(f12202,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f12152,f1883]) ).
fof(f12203,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f12152,f1884]) ).
fof(f12204,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(and(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f12152,f1885]) ).
fof(f12205,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(and(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f12152,f3015]) ).
fof(f12206,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(and(X1,not(X1)),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f12152,f700]) ).
fof(f12207,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(X0,and(implies(and(X1,not(X1)),X2),X0))) ),
inference(resolution,[status(thm)],[f12152,f1208]) ).
fof(f12208,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(possibly(implies(and(X0,not(X0)),X1)))) ),
inference(resolution,[status(thm)],[f12152,f1152]) ).
fof(f12209,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(X0,implies(and(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f12152,f1148]) ).
fof(f12210,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(or(X0,implies(and(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f12152,f1164]) ).
fof(f12211,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(or(implies(and(X0,not(X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f12152,f1142]) ).
fof(f12212,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(and(X0,not(X0)),X1),implies(and(X0,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f12152,f3013]) ).
fof(f12213,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(implies(and(X0,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f12152,f666]) ).
fof(f12214,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(necessarily(possibly(X0)),possibly(necessarily(not(X0)))),X1)) ),
inference(paramodulation,[status(thm)],[f1114,f12152]) ).
fof(f12215,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f1117,f12152]) ).
fof(f12217,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))),X3)) ),
inference(paramodulation,[status(thm)],[f1115,f12152]) ).
fof(f12218,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f1116,f12152]) ).
fof(f12220,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(implies(X2,X2),not(X0)),X1))) ),
inference(forward_demodulation,[status(thm)],[f1118,f12182]) ).
fof(f12221,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,implies(X1,X1)),equiv(and(X1,not(X1)),X0))) ),
inference(forward_demodulation,[status(thm)],[f1298,f12183]) ).
fof(f12222,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1))) ),
inference(forward_demodulation,[status(thm)],[f1118,f12184]) ).
fof(f12223,definition,
! [X0] :
( sQ205_spl
<=> ~ is_a_theorem(and(X0,not(X0))) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f12224,plain,
! [X0] :
( ~ sQ205_spl
| ~ is_a_theorem(and(X0,not(X0))) ),
inference(component_clause,[status(thm)],[f12223]) ).
fof(f12226,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| sQ173_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f12186,f12223,f1459,f630,f375,f644,f397,f386,f463,f341]) ).
fof(f12227,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ176_spl
| ~ is_a_theorem(implies(or(X0,X1),not(X2))) ),
inference(backward_subsumption_resolution,[status(thm)],[f11923,f1472]) ).
fof(f12228,plain,
( sQ123_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1501]) ).
fof(f12229,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ205_spl
| ~ is_a_theorem(and(necessarily(possibly(X0)),possibly(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1114,f12224]) ).
fof(f12230,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ205_spl
| ~ is_a_theorem(and(necessarily(implies(X0,X1)),possibly(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1117,f12224]) ).
fof(f12231,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ205_spl
| ~ is_a_theorem(and(necessarily(not(X0)),possibly(X0))) ),
inference(paramodulation,[status(thm)],[f943,f12224]) ).
fof(f12232,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ205_spl
| ~ is_a_theorem(and(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1115,f12224]) ).
fof(f12233,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ205_spl
| ~ is_a_theorem(and(and(X0,possibly(X1)),implies(X0,necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1116,f12224]) ).
fof(f12234,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ205_spl
| ~ is_a_theorem(and(and(X0,not(X1)),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f645,f12224]) ).
fof(f12323,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f2989,f1194]) ).
fof(f12325,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f2989,f1176]) ).
fof(f12326,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f2989,f1175]) ).
fof(f12327,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f2989,f1179]) ).
fof(f12328,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f2989,f1183]) ).
fof(f12329,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f2989,f1182]) ).
fof(f12334,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X1,necessarily(possibly(X2)))),X0))
| ~ is_a_theorem(or(X0,possibly(and(X1,possibly(necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1114,f2989]) ).
fof(f12335,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X1,necessarily(implies(X2,X3)))),X0))
| ~ is_a_theorem(or(X0,possibly(and(X1,possibly(and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1117,f2989]) ).
fof(f12336,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X1,necessarily(not(X2)))),X0))
| ~ is_a_theorem(or(X0,possibly(and(X1,possibly(X2))))) ),
inference(paramodulation,[status(thm)],[f943,f2989]) ).
fof(f12337,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X1,and(X2,implies(X3,X4)))),X0))
| ~ is_a_theorem(or(X0,possibly(and(X1,implies(X2,and(X3,not(X4))))))) ),
inference(paramodulation,[status(thm)],[f1115,f2989]) ).
fof(f12338,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X1,and(X2,possibly(X3)))),X0))
| ~ is_a_theorem(or(X0,possibly(and(X1,implies(X2,necessarily(not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1116,f2989]) ).
fof(f12339,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X1,and(X2,not(X3)))),X0))
| ~ is_a_theorem(or(X0,possibly(and(X1,implies(X2,X3))))) ),
inference(paramodulation,[status(thm)],[f645,f2989]) ).
fof(f12347,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(not(X0)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f2376,f1194]) ).
fof(f12349,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(not(X0)),implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f2376,f1176]) ).
fof(f12350,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(not(X0)),implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f2376,f1175]) ).
fof(f12351,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(not(X0)),implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f2376,f1179]) ).
fof(f12352,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(not(X0)),implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f2376,f1183]) ).
fof(f12353,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(not(X0)),implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f2376,f1182]) ).
fof(f12356,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(not(implies(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f2376,f4859]) ).
fof(f12357,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(necessarily(not(equiv(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f2376,f4821]) ).
fof(f12366,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,possibly(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f2320,f4860]) ).
fof(f12367,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,possibly(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f2320,f4822]) ).
fof(f12368,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f2320,f3311]) ).
fof(f12369,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f2320,f3186]) ).
fof(f12370,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,necessarily(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f2320,f3177]) ).
fof(f12371,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,necessarily(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f2320,f3302]) ).
fof(f12372,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f2320,f1194]) ).
fof(f12373,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f2320,f3293]) ).
fof(f12374,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f2320,f1176]) ).
fof(f12375,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f2320,f1175]) ).
fof(f12376,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f2320,f1179]) ).
fof(f12377,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f2320,f1183]) ).
fof(f12379,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f2320,f1181]) ).
fof(f12380,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f2320,f3030]) ).
fof(f12382,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(or(X2,and(X0,not(X1))))
| ~ is_a_theorem(implies(implies(X0,X1),not(not(X2)))) ),
inference(paramodulation,[status(thm)],[f1118,f2320]) ).
fof(f12383,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(or(X1,necessarily(not(X0))))
| ~ is_a_theorem(implies(possibly(X0),not(not(X1)))) ),
inference(paramodulation,[status(thm)],[f1119,f2320]) ).
fof(f12384,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(necessarily(possibly(X1)),X0))
| ~ is_a_theorem(or(X0,not(possibly(necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1114,f2320]) ).
fof(f12385,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(or(necessarily(implies(X1,X2)),X0))
| ~ is_a_theorem(or(X0,not(possibly(and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1117,f2320]) ).
fof(f12387,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(or(and(X1,implies(X2,X3)),X0))
| ~ is_a_theorem(or(X0,not(implies(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f1115,f2320]) ).
fof(f12388,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(or(and(X1,possibly(X2)),X0))
| ~ is_a_theorem(or(X0,not(implies(X1,necessarily(not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1116,f2320]) ).
fof(f12392,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(possibly(implies(X2,X2))),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f4860]) ).
fof(f12393,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(possibly(equiv(X2,X2))),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f4822]) ).
fof(f12394,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(or(implies(X2,X2),X3)),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f3311]) ).
fof(f12395,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(or(X2,not(X2))),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f3186]) ).
fof(f12396,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(necessarily(implies(X2,X2))),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f3177]) ).
fof(f12397,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(necessarily(equiv(X2,X2))),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f3302]) ).
fof(f12398,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(strict_equiv(sK60_skl,sK61_skl)),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f1194]) ).
fof(f12399,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(equiv(X2,X2)),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f3293]) ).
fof(f12400,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(implies(and(X2,X3),X3)),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f1176]) ).
fof(f12401,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(implies(and(X2,X3),X2)),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f1175]) ).
fof(f12402,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(implies(necessarily(X2),X2)),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f1179]) ).
fof(f12403,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(implies(X2,or(X2,X3))),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f1183]) ).
fof(f12404,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(implies(X2,or(X3,X2))),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f1182]) ).
fof(f12405,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(implies(X2,implies(X3,X2))),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f1181]) ).
fof(f12406,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(implies(X2,X2)),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f3030]) ).
fof(f12407,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(not(X1),not(X1))),implies(or(not(X1),X0),and(not(X1),not(X1))))) ),
inference(resolution,[status(thm)],[f2544,f3021]) ).
fof(f12416,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,strict_equiv(sK60_skl,sK61_skl)),implies(or(not(X1),X0),strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f2544,f1367]) ).
fof(f12418,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(and(X1,X2),X2)),implies(or(not(X3),X0),implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f2544,f1345]) ).
fof(f12419,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(and(X1,X2),X1)),implies(or(not(X3),X0),implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f2544,f1344]) ).
fof(f12420,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(necessarily(X1),X1)),implies(or(not(X2),X0),implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f2544,f1348]) ).
fof(f12421,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,or(X1,X2))),implies(or(not(X3),X0),implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f2544,f1356]) ).
fof(f12422,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,or(X2,X1))),implies(or(not(X3),X0),implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f2544,f1355]) ).
fof(f12430,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ164_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(possibly(and(X2,not(X2))),X0),X1))) ),
inference(forward_demodulation,[status(thm)],[f1117,f12396]) ).
fof(f12431,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(not(X1),X1)),implies(or(not(X1),X0),and(not(X1),not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f12407]) ).
fof(f12432,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,or(X1,X1)),implies(or(not(X1),X0),and(not(X1),not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f12431]) ).
fof(f12433,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,or(X1,X1)),not(and(or(not(X1),X0),or(X1,X1))))) ),
inference(forward_demodulation,[status(thm)],[f1296,f12432]) ).
fof(f12442,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(strict_equiv(sK60_skl,sK61_skl),X1))) ),
inference(resolution,[status(thm)],[f2485,f1194]) ).
fof(f12444,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(and(X2,X3),X3),X1))) ),
inference(resolution,[status(thm)],[f2485,f1176]) ).
fof(f12445,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(and(X2,X3),X2),X1))) ),
inference(resolution,[status(thm)],[f2485,f1175]) ).
fof(f12446,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(necessarily(X2),X2),X1))) ),
inference(resolution,[status(thm)],[f2485,f1179]) ).
fof(f12447,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(X2,or(X2,X3)),X1))) ),
inference(resolution,[status(thm)],[f2485,f1183]) ).
fof(f12448,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(X2,or(X3,X2)),X1))) ),
inference(resolution,[status(thm)],[f2485,f1182]) ).
fof(f12451,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(and(not(X0),not(X0)),X1),or(X0,X1))) ),
inference(resolution,[status(thm)],[f2485,f3021]) ).
fof(f12452,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(possibly(implies(X0,X0)),X1),or(X2,X1))) ),
inference(resolution,[status(thm)],[f2485,f4859]) ).
fof(f12453,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(possibly(equiv(X0,X0)),X1),or(X2,X1))) ),
inference(resolution,[status(thm)],[f2485,f4821]) ).
fof(f12454,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(necessarily(possibly(not(X0))),X1),or(X0,X1))) ),
inference(resolution,[status(thm)],[f2485,f1154]) ).
fof(f12455,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(necessarily(implies(X0,X0)),X1),or(X2,X1))) ),
inference(resolution,[status(thm)],[f2485,f3178]) ).
fof(f12456,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(necessarily(equiv(X0,X0)),X1),or(X2,X1))) ),
inference(resolution,[status(thm)],[f2485,f3303]) ).
fof(f12457,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(not(X0),X1),X2),or(X0,X2))) ),
inference(resolution,[status(thm)],[f2485,f1144]) ).
fof(f12458,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,not(X0)),X1),or(X2,X1))) ),
inference(resolution,[status(thm)],[f2485,f3187]) ).
fof(f12459,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,not(X1)),X2),or(X1,X2))) ),
inference(resolution,[status(thm)],[f2485,f1166]) ).
fof(f12460,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(strict_equiv(sK60_skl,sK61_skl),X0),or(X1,X0))) ),
inference(resolution,[status(thm)],[f2485,f1367]) ).
fof(f12461,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(equiv(X0,X0),X1),or(X2,X1))) ),
inference(resolution,[status(thm)],[f2485,f3294]) ).
fof(f12462,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(and(X0,X1),X1),X2),or(X3,X2))) ),
inference(resolution,[status(thm)],[f2485,f1345]) ).
fof(f12463,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(and(X0,X1),X0),X2),or(X3,X2))) ),
inference(resolution,[status(thm)],[f2485,f1344]) ).
fof(f12464,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(necessarily(X0),X0),X1),or(X2,X1))) ),
inference(resolution,[status(thm)],[f2485,f1348]) ).
fof(f12465,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,or(X0,X1)),X2),or(X3,X2))) ),
inference(resolution,[status(thm)],[f2485,f1356]) ).
fof(f12466,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,or(X1,X0)),X2),or(X3,X2))) ),
inference(resolution,[status(thm)],[f2485,f1355]) ).
fof(f12467,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),or(X3,X2))) ),
inference(resolution,[status(thm)],[f2485,f1354]) ).
fof(f12468,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,and(not(X1),X0)),X2),or(X1,X2))) ),
inference(resolution,[status(thm)],[f2485,f1211]) ).
fof(f12469,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,not(X1)),X2),or(X1,X2))) ),
inference(resolution,[status(thm)],[f2485,f1150]) ).
fof(f12470,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X0),X1),or(X2,X1))) ),
inference(resolution,[status(thm)],[f2485,f3031]) ).
fof(f12471,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(not(X0),X1),or(X0,X1))) ),
inference(resolution,[status(thm)],[f2485,f3034]) ).
fof(f12474,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),or(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f1047,f12471]) ).
fof(f12477,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(possibly(implies(X1,X1)))),equiv(not(possibly(implies(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f2432,f4860]) ).
fof(f12478,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(possibly(equiv(X1,X1)))),equiv(not(possibly(equiv(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f2432,f4822]) ).
fof(f12479,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(or(implies(X1,X1),X2))),equiv(not(or(implies(X1,X1),X2)),X0))) ),
inference(resolution,[status(thm)],[f2432,f3311]) ).
fof(f12480,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(or(X1,not(X1)))),equiv(not(or(X1,not(X1))),X0))) ),
inference(resolution,[status(thm)],[f2432,f3186]) ).
fof(f12481,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(necessarily(implies(X1,X1)))),equiv(not(necessarily(implies(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f2432,f3177]) ).
fof(f12482,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(necessarily(equiv(X1,X1)))),equiv(not(necessarily(equiv(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f2432,f3302]) ).
fof(f12483,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(strict_equiv(sK60_skl,sK61_skl))),equiv(not(strict_equiv(sK60_skl,sK61_skl)),X0))) ),
inference(resolution,[status(thm)],[f2432,f1194]) ).
fof(f12484,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(equiv(X1,X1))),equiv(not(equiv(X1,X1)),X0))) ),
inference(resolution,[status(thm)],[f2432,f3293]) ).
fof(f12485,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(implies(and(X1,X2),X2))),equiv(not(implies(and(X1,X2),X2)),X0))) ),
inference(resolution,[status(thm)],[f2432,f1176]) ).
fof(f12486,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(implies(and(X1,X2),X1))),equiv(not(implies(and(X1,X2),X1)),X0))) ),
inference(resolution,[status(thm)],[f2432,f1175]) ).
fof(f12487,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(implies(necessarily(X1),X1))),equiv(not(implies(necessarily(X1),X1)),X0))) ),
inference(resolution,[status(thm)],[f2432,f1179]) ).
fof(f12488,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(implies(X1,or(X1,X2)))),equiv(not(implies(X1,or(X1,X2))),X0))) ),
inference(resolution,[status(thm)],[f2432,f1183]) ).
fof(f12489,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(implies(X1,or(X2,X1)))),equiv(not(implies(X1,or(X2,X1))),X0))) ),
inference(resolution,[status(thm)],[f2432,f1182]) ).
fof(f12490,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(implies(X1,implies(X2,X1)))),equiv(not(implies(X1,implies(X2,X1))),X0))) ),
inference(resolution,[status(thm)],[f2432,f1181]) ).
fof(f12491,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(implies(X1,X1))),equiv(not(implies(X1,X1)),X0))) ),
inference(resolution,[status(thm)],[f2432,f3030]) ).
fof(f12501,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(strict_equiv(sK60_skl,sK61_skl),not(X0)),equiv(not(X0),strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f2432,f1367]) ).
fof(f12503,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(and(X0,X1),X1),not(X2)),equiv(not(X2),implies(and(X0,X1),X1)))) ),
inference(resolution,[status(thm)],[f2432,f1345]) ).
fof(f12504,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(and(X0,X1),X0),not(X2)),equiv(not(X2),implies(and(X0,X1),X0)))) ),
inference(resolution,[status(thm)],[f2432,f1344]) ).
fof(f12505,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(necessarily(X0),X0),not(X1)),equiv(not(X1),implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f2432,f1348]) ).
fof(f12506,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,or(X0,X1)),not(X2)),equiv(not(X2),implies(X0,or(X0,X1))))) ),
inference(resolution,[status(thm)],[f2432,f1356]) ).
fof(f12507,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,or(X1,X0)),not(X2)),equiv(not(X2),implies(X0,or(X1,X0))))) ),
inference(resolution,[status(thm)],[f2432,f1355]) ).
fof(f12512,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(not(X0),not(X0)),equiv(not(X0),not(X0)))) ),
inference(resolution,[status(thm)],[f2432,f3034]) ).
fof(f12515,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ164_spl
| is_a_theorem(implies(implies(X0,possibly(and(X1,not(X1)))),equiv(not(necessarily(implies(X1,X1))),X0))) ),
inference(forward_demodulation,[status(thm)],[f1117,f12481]) ).
fof(f12516,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ164_spl
| is_a_theorem(implies(implies(X0,possibly(and(X1,not(X1)))),equiv(possibly(and(X1,not(X1))),X0))) ),
inference(forward_demodulation,[status(thm)],[f1117,f12515]) ).
fof(f12517,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,not(X0)),equiv(not(X0),not(X0)))) ),
inference(forward_demodulation,[status(thm)],[f1047,f12512]) ).
fof(f12522,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(possibly(necessarily(implies(X1,X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f11128]) ).
fof(f12523,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(possibly(necessarily(equiv(X1,X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f10589]) ).
fof(f12524,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(possibly(or(X1,not(X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f4864]) ).
fof(f12525,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(possibly(implies(necessarily(X1),X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f11304]) ).
fof(f12526,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(possibly(implies(X1,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f4848]) ).
fof(f12527,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(possibly(equiv(X1,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f4751]) ).
fof(f12528,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(possibly(strict_equiv(sK60_skl,sK61_skl)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f2962]) ).
fof(f12529,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(strict_equiv(sK60_skl,sK61_skl),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f723]) ).
fof(f12530,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(possibly(implies(X1,X1)),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f4860]) ).
fof(f12531,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(possibly(equiv(X1,X1)),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f4822]) ).
fof(f12532,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(or(implies(X1,X1),X2),X3),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3311]) ).
fof(f12533,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(or(X1,not(X1)),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3186]) ).
fof(f12534,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(necessarily(implies(X1,X1)),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3177]) ).
fof(f12535,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(necessarily(equiv(X1,X1)),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3302]) ).
fof(f12536,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(strict_equiv(sK60_skl,sK61_skl),X1),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1194]) ).
fof(f12537,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(equiv(X1,X1),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3293]) ).
fof(f12538,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(implies(and(X1,X2),X2),X3),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1176]) ).
fof(f12539,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(implies(and(X1,X2),X1),X3),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1175]) ).
fof(f12540,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(implies(necessarily(X1),X1),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1179]) ).
fof(f12541,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(implies(X1,or(X1,X2)),X3),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1183]) ).
fof(f12542,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(implies(X1,or(X2,X1)),X3),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1182]) ).
fof(f12543,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(implies(X1,implies(X2,X1)),X3),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1181]) ).
fof(f12544,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(implies(X1,X1),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3030]) ).
fof(f12545,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,and(not(X1),not(X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3021]) ).
fof(f12546,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,possibly(implies(X2,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f4859]) ).
fof(f12547,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,possibly(equiv(X2,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f4821]) ).
fof(f12548,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,necessarily(possibly(not(X1)))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1154]) ).
fof(f12549,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,necessarily(implies(X2,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3178]) ).
fof(f12550,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,necessarily(equiv(X2,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3303]) ).
fof(f12551,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,or(not(X1),X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1144]) ).
fof(f12552,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,or(X2,not(X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3187]) ).
fof(f12553,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,or(X2,not(X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1166]) ).
fof(f12554,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,strict_equiv(sK60_skl,sK61_skl)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1367]) ).
fof(f12555,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,equiv(X2,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3294]) ).
fof(f12556,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,implies(and(X2,X3),X3)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1345]) ).
fof(f12557,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,implies(and(X2,X3),X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1344]) ).
fof(f12558,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,implies(necessarily(X2),X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1348]) ).
fof(f12559,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,implies(X2,or(X2,X3))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1356]) ).
fof(f12560,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,implies(X2,or(X3,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1355]) ).
fof(f12561,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,implies(X2,implies(X3,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1354]) ).
fof(f12562,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,and(or(X1,implies(X2,and(not(X1),X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1211]) ).
fof(f12563,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,implies(X2,not(X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1150]) ).
fof(f12564,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,implies(X2,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3031]) ).
fof(f12565,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,not(X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3034]) ).
fof(f12566,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(or(equiv(X1,X1),X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f4559]) ).
fof(f12567,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(or(implies(X1,X1),X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3314]) ).
fof(f12568,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(or(X1,equiv(X2,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f4565]) ).
fof(f12569,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(or(X1,implies(X2,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3427]) ).
fof(f12570,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(or(X1,not(X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3181]) ).
fof(f12571,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(possibly(or(X1,not(X1)))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3185]) ).
fof(f12572,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(possibly(necessarily(implies(X1,X1)))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3176]) ).
fof(f12573,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(possibly(necessarily(equiv(X1,X1)))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3301]) ).
fof(f12574,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(possibly(strict_equiv(sK60_skl,sK61_skl))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1964]) ).
fof(f12575,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(possibly(implies(necessarily(X1),X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1967]) ).
fof(f12576,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(possibly(implies(X1,X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3029]) ).
fof(f12577,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(possibly(equiv(X1,X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3292]) ).
fof(f12578,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(necessarily(strict_equiv(sK60_skl,sK61_skl))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f2016]) ).
fof(f12579,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(necessarily(implies(necessarily(X1),X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f2009]) ).
fof(f12580,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(necessarily(implies(X1,X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3180]) ).
fof(f12581,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(necessarily(equiv(X1,X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3305]) ).
fof(f12582,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(strict_equiv(sK60_skl,sK61_skl)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1127]) ).
fof(f12583,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(or(X1,not(X2)),implies(X2,X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1230]) ).
fof(f12584,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(equiv(X1,X2),implies(X1,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1201]) ).
fof(f12585,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(equiv(X1,X2),implies(X2,X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1168]) ).
fof(f12586,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1216]) ).
fof(f12587,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2)))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1205]) ).
fof(f12588,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1283]) ).
fof(f12589,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1161]) ).
fof(f12590,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(and(X1,X2),X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1171]) ).
fof(f12591,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(and(X1,X2),X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1146]) ).
fof(f12592,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2)))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1158]) ).
fof(f12593,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(necessarily(X1),necessarily(necessarily(X1)))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1156]) ).
fof(f12594,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(necessarily(X1),X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1132]) ).
fof(f12595,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(X1,necessarily(possibly(X1)))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1153]) ).
fof(f12596,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(X1,equiv(X2,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f4574]) ).
fof(f12597,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X0,and(necessarily(implies(X1,implies(X2,and(X1,X2)))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1210]) ).
fof(f12598,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(X1,implies(X2,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3443]) ).
fof(f12599,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(X1,implies(X2,X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1149]) ).
fof(f12600,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(X1,or(X2,X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1165]) ).
fof(f12601,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(X1,or(X1,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1143]) ).
fof(f12602,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(X1,and(X1,X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3020]) ).
fof(f12603,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(implies(X1,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3033]) ).
fof(f12604,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(necessarily(equiv(X1,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3296]) ).
fof(f12605,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(equiv(X1,X1),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3285]) ).
fof(f12606,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,possibly(X2)),implies(necessarily(not(X2)),X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1232]) ).
fof(f12607,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1231]) ).
fof(f12608,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,or(X1,X2)),or(X1,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1221]) ).
fof(f12609,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,not(not(X2))),or(X2,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1233]) ).
fof(f12610,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,not(X2)),implies(X2,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1044]) ).
fof(f12611,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1162]) ).
fof(f12612,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1287]) ).
fof(f12613,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1206]) ).
fof(f12614,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(equiv(not(X1),X2),or(X1,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1202]) ).
fof(f12615,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(equiv(X1,not(X2)),or(X2,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1169]) ).
fof(f12616,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(equiv(X1,X2),implies(X1,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f486]) ).
fof(f12617,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(equiv(X1,X2),implies(X2,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f497]) ).
fof(f12618,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1285]) ).
fof(f12619,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1163]) ).
fof(f12620,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(implies(X1,implies(X1,X2)),implies(X1,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f398]) ).
fof(f12621,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1207]) ).
fof(f12622,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f475]) ).
fof(f12623,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f409]) ).
fof(f12624,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f508]) ).
fof(f12625,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(and(X1,not(X1)),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f12152]) ).
fof(f12626,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(and(X1,X2),X1),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f420]) ).
fof(f12627,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(and(X1,X2),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f431]) ).
fof(f12628,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(necessarily(or(X1,X2)),implies(necessarily(not(X1)),necessarily(X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1159]) ).
fof(f12629,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f734]) ).
fof(f12630,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(necessarily(X1),necessarily(necessarily(X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f756]) ).
fof(f12631,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(necessarily(X1),X1),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f745]) ).
fof(f12632,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,possibly(implies(X2,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f4858]) ).
fof(f12633,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,possibly(equiv(X2,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f4820]) ).
fof(f12634,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,strict_equiv(sK60_skl,sK61_skl)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1264]) ).
fof(f12635,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,necessarily(implies(X2,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3179]) ).
fof(f12636,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,necessarily(equiv(X2,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3304]) ).
fof(f12637,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,necessarily(possibly(X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f767]) ).
fof(f12638,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,equiv(X2,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3295]) ).
fof(f12639,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,implies(and(X2,X3),X3)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1245]) ).
fof(f12640,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,implies(and(X2,X3),X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1244]) ).
fof(f12641,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,implies(necessarily(X2),X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1248]) ).
fof(f12642,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,implies(X2,or(X2,X3))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1253]) ).
fof(f12643,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,implies(X2,or(X3,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1252]) ).
fof(f12644,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,implies(X2,implies(X3,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1251]) ).
fof(f12645,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X0,and(implies(X1,implies(X2,and(X1,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f442]) ).
fof(f12646,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,implies(X2,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f387]) ).
fof(f12647,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,implies(X2,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3032]) ).
fof(f12648,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,and(implies(X1,or(X2,and(X1,not(X2)))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f1212]) ).
fof(f12649,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,or(X2,not(X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3188]) ).
fof(f12650,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,or(X2,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f464]) ).
fof(f12651,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,or(X1,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f453]) ).
fof(f12652,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,and(X1,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f519]) ).
fof(f12653,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,X1),not(X0)))) ),
inference(resolution,[status(thm)],[f2941,f3447]) ).
fof(f12665,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))),not(X0)))) ),
inference(resolution,[status(thm)],[f3204,f2941]) ).
fof(f12666,plain,
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1868]) ).
fof(f12667,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1869]) ).
fof(f12668,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1870]) ).
fof(f12669,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1871]) ).
fof(f12670,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1872]) ).
fof(f12671,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1873]) ).
fof(f12672,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1874]) ).
fof(f12673,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1875]) ).
fof(f12674,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1876]) ).
fof(f12675,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1877]) ).
fof(f12676,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1878]) ).
fof(f12677,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1879]) ).
fof(f12678,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1880]) ).
fof(f12679,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1881]) ).
fof(f12680,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1882]) ).
fof(f12681,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1883]) ).
fof(f12682,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1884]) ).
fof(f12683,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1885]) ).
fof(f12684,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f3015]) ).
fof(f12685,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3204,f700]) ).
fof(f12686,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))),X0))) ),
inference(resolution,[status(thm)],[f3204,f1208]) ).
fof(f12687,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl)))))) ),
inference(resolution,[status(thm)],[f3204,f1152]) ).
fof(f12688,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1148]) ).
fof(f12689,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f1164]) ).
fof(f12690,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(or(and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))),X0)) ),
inference(resolution,[status(thm)],[f3204,f1142]) ).
fof(f12691,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ104_spl
| ~ sQ89_spl
| is_a_theorem(and(and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))),and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f3013]) ).
fof(f12692,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(and(necessarily(strict_equiv(sK60_skl,sK61_skl)),necessarily(strict_equiv(sK60_skl,sK61_skl))))) ),
inference(resolution,[status(thm)],[f3204,f666]) ).
fof(f12695,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(and(necessarily(implies(and(X1,X2),X1)),necessarily(implies(and(X1,X2),X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f3206,f2941]) ).
fof(f12696,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),and(necessarily(implies(and(X0,X1),X0)),necessarily(implies(and(X0,X1),X0))))) ),
inference(resolution,[status(thm)],[f3206,f1868]) ).
fof(f12697,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(necessarily(implies(and(X2,X3),X2)),necessarily(implies(and(X2,X3),X2))))) ),
inference(resolution,[status(thm)],[f3206,f1869]) ).
fof(f12698,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(necessarily(implies(and(X1,X2),X1)),necessarily(implies(and(X1,X2),X1))))) ),
inference(resolution,[status(thm)],[f3206,f1870]) ).
fof(f12699,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(necessarily(implies(and(X1,X2),X1)),necessarily(implies(and(X1,X2),X1))))) ),
inference(resolution,[status(thm)],[f3206,f1871]) ).
fof(f12700,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(necessarily(implies(and(X2,X3),X2)),necessarily(implies(and(X2,X3),X2))))) ),
inference(resolution,[status(thm)],[f3206,f1872]) ).
fof(f12701,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(necessarily(implies(and(X2,X3),X2)),necessarily(implies(and(X2,X3),X2))))) ),
inference(resolution,[status(thm)],[f3206,f1873]) ).
fof(f12702,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(necessarily(implies(and(X2,X3),X2)),necessarily(implies(and(X2,X3),X2))))) ),
inference(resolution,[status(thm)],[f3206,f1874]) ).
fof(f12703,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(necessarily(implies(and(X2,X3),X2)),necessarily(implies(and(X2,X3),X2))))) ),
inference(resolution,[status(thm)],[f3206,f1875]) ).
fof(f12704,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(necessarily(implies(and(X3,X4),X3)),necessarily(implies(and(X3,X4),X3))))) ),
inference(resolution,[status(thm)],[f3206,f1876]) ).
fof(f12705,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(necessarily(implies(and(X3,X4),X3)),necessarily(implies(and(X3,X4),X3))))) ),
inference(resolution,[status(thm)],[f3206,f1877]) ).
fof(f12706,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(necessarily(implies(and(X2,X3),X2)),necessarily(implies(and(X2,X3),X2))))) ),
inference(resolution,[status(thm)],[f3206,f1878]) ).
fof(f12707,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(necessarily(implies(and(X2,X3),X2)),necessarily(implies(and(X2,X3),X2))))) ),
inference(resolution,[status(thm)],[f3206,f1879]) ).
fof(f12708,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(necessarily(implies(and(X2,X3),X2)),necessarily(implies(and(X2,X3),X2))))) ),
inference(resolution,[status(thm)],[f3206,f1880]) ).
fof(f12709,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(necessarily(implies(and(X2,X3),X2)),necessarily(implies(and(X2,X3),X2))))) ),
inference(resolution,[status(thm)],[f3206,f1881]) ).
fof(f12710,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(necessarily(implies(and(X2,X3),X2)),necessarily(implies(and(X2,X3),X2))))) ),
inference(resolution,[status(thm)],[f3206,f1882]) ).
fof(f12711,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(necessarily(implies(and(X2,X3),X2)),necessarily(implies(and(X2,X3),X2))))) ),
inference(resolution,[status(thm)],[f3206,f1883]) ).
fof(f12712,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(necessarily(implies(and(X2,X3),X2)),necessarily(implies(and(X2,X3),X2))))) ),
inference(resolution,[status(thm)],[f3206,f1884]) ).
fof(f12713,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(necessarily(implies(and(X1,X2),X1)),necessarily(implies(and(X1,X2),X1))))) ),
inference(resolution,[status(thm)],[f3206,f1885]) ).
fof(f12714,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(necessarily(implies(and(X1,X2),X1)),necessarily(implies(and(X1,X2),X1))))) ),
inference(resolution,[status(thm)],[f3206,f3015]) ).
fof(f12715,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(and(necessarily(implies(and(X1,X2),X1)),necessarily(implies(and(X1,X2),X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3206,f700]) ).
fof(f12716,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(and(necessarily(implies(and(X1,X2),X1)),necessarily(implies(and(X1,X2),X1))),X0))) ),
inference(resolution,[status(thm)],[f3206,f1208]) ).
fof(f12717,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(and(necessarily(implies(and(X0,X1),X0)),necessarily(implies(and(X0,X1),X0)))))) ),
inference(resolution,[status(thm)],[f3206,f1152]) ).
fof(f12718,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(necessarily(implies(and(X1,X2),X1)),necessarily(implies(and(X1,X2),X1))))) ),
inference(resolution,[status(thm)],[f3206,f1148]) ).
fof(f12719,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(necessarily(implies(and(X1,X2),X1)),necessarily(implies(and(X1,X2),X1))))) ),
inference(resolution,[status(thm)],[f3206,f1164]) ).
fof(f12720,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(necessarily(implies(and(X0,X1),X0)),necessarily(implies(and(X0,X1),X0))),X2)) ),
inference(resolution,[status(thm)],[f3206,f1142]) ).
fof(f12721,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(and(and(necessarily(implies(and(X0,X1),X0)),necessarily(implies(and(X0,X1),X0))),and(necessarily(implies(and(X0,X1),X0)),necessarily(implies(and(X0,X1),X0))))) ),
inference(resolution,[status(thm)],[f3206,f3013]) ).
fof(f12722,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(and(necessarily(implies(and(X0,X1),X0)),necessarily(implies(and(X0,X1),X0))))) ),
inference(resolution,[status(thm)],[f3206,f666]) ).
fof(f12723,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(not(X0),X1),or(X0,X1))),necessarily(implies(and(or(X0,X1),implies(X1,not(X0))),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f3206]) ).
fof(f12724,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(X0,not(X1)),implies(X0,not(X1)))),necessarily(implies(and(implies(X0,not(X1)),or(X1,X0)),implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1120,f3206]) ).
fof(f12725,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(X0,X1),implies(X0,X1))),necessarily(implies(and(implies(X0,X1),implies(X1,X0)),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f3206]) ).
fof(f12727,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(and(implies(X0,not(X1)),or(X1,X0)),implies(X0,not(X1)))),necessarily(implies(equiv(X0,not(X1)),implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1120,f3206]) ).
fof(f12728,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(and(implies(X0,X1),implies(X1,X0)),implies(X0,X1))),necessarily(implies(equiv(X0,X1),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f3206]) ).
fof(f12729,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(not(X0),X1),or(X0,X1))),necessarily(implies(equiv(not(X0),X1),or(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f1121,f12723]) ).
fof(f12730,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(X0,not(X1)),implies(X0,not(X1)))),necessarily(implies(equiv(X0,not(X1)),implies(X0,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1120,f12724]) ).
fof(f12731,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(X0,X1),implies(X0,X1))),necessarily(implies(equiv(X0,X1),implies(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f659,f12725]) ).
fof(f12733,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(X0,not(X1)),implies(X0,not(X1)))),necessarily(implies(equiv(X0,not(X1)),implies(X0,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1120,f12727]) ).
fof(f12734,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(X0,X1),implies(X0,X1))),necessarily(implies(equiv(X0,X1),implies(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f659,f12728]) ).
fof(f12737,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(and(necessarily(implies(and(X1,X2),X2)),necessarily(implies(and(X1,X2),X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f3205,f2941]) ).
fof(f12738,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),and(necessarily(implies(and(X0,X1),X1)),necessarily(implies(and(X0,X1),X1))))) ),
inference(resolution,[status(thm)],[f3205,f1868]) ).
fof(f12739,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(necessarily(implies(and(X2,X3),X3)),necessarily(implies(and(X2,X3),X3))))) ),
inference(resolution,[status(thm)],[f3205,f1869]) ).
fof(f12740,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(necessarily(implies(and(X1,X2),X2)),necessarily(implies(and(X1,X2),X2))))) ),
inference(resolution,[status(thm)],[f3205,f1870]) ).
fof(f12741,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(necessarily(implies(and(X1,X2),X2)),necessarily(implies(and(X1,X2),X2))))) ),
inference(resolution,[status(thm)],[f3205,f1871]) ).
fof(f12742,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(necessarily(implies(and(X2,X3),X3)),necessarily(implies(and(X2,X3),X3))))) ),
inference(resolution,[status(thm)],[f3205,f1872]) ).
fof(f12743,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(necessarily(implies(and(X2,X3),X3)),necessarily(implies(and(X2,X3),X3))))) ),
inference(resolution,[status(thm)],[f3205,f1873]) ).
fof(f12744,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(necessarily(implies(and(X2,X3),X3)),necessarily(implies(and(X2,X3),X3))))) ),
inference(resolution,[status(thm)],[f3205,f1874]) ).
fof(f12745,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(necessarily(implies(and(X2,X3),X3)),necessarily(implies(and(X2,X3),X3))))) ),
inference(resolution,[status(thm)],[f3205,f1875]) ).
fof(f12746,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(necessarily(implies(and(X3,X4),X4)),necessarily(implies(and(X3,X4),X4))))) ),
inference(resolution,[status(thm)],[f3205,f1876]) ).
fof(f12747,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(necessarily(implies(and(X3,X4),X4)),necessarily(implies(and(X3,X4),X4))))) ),
inference(resolution,[status(thm)],[f3205,f1877]) ).
fof(f12748,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(necessarily(implies(and(X2,X3),X3)),necessarily(implies(and(X2,X3),X3))))) ),
inference(resolution,[status(thm)],[f3205,f1878]) ).
fof(f12749,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(necessarily(implies(and(X2,X3),X3)),necessarily(implies(and(X2,X3),X3))))) ),
inference(resolution,[status(thm)],[f3205,f1879]) ).
fof(f12750,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(necessarily(implies(and(X2,X3),X3)),necessarily(implies(and(X2,X3),X3))))) ),
inference(resolution,[status(thm)],[f3205,f1880]) ).
fof(f12751,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(necessarily(implies(and(X2,X3),X3)),necessarily(implies(and(X2,X3),X3))))) ),
inference(resolution,[status(thm)],[f3205,f1881]) ).
fof(f12752,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(necessarily(implies(and(X2,X3),X3)),necessarily(implies(and(X2,X3),X3))))) ),
inference(resolution,[status(thm)],[f3205,f1882]) ).
fof(f12753,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(necessarily(implies(and(X2,X3),X3)),necessarily(implies(and(X2,X3),X3))))) ),
inference(resolution,[status(thm)],[f3205,f1883]) ).
fof(f12754,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(necessarily(implies(and(X2,X3),X3)),necessarily(implies(and(X2,X3),X3))))) ),
inference(resolution,[status(thm)],[f3205,f1884]) ).
fof(f12755,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(necessarily(implies(and(X1,X2),X2)),necessarily(implies(and(X1,X2),X2))))) ),
inference(resolution,[status(thm)],[f3205,f1885]) ).
fof(f12756,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(necessarily(implies(and(X1,X2),X2)),necessarily(implies(and(X1,X2),X2))))) ),
inference(resolution,[status(thm)],[f3205,f3015]) ).
fof(f12757,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(and(necessarily(implies(and(X1,X2),X2)),necessarily(implies(and(X1,X2),X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3205,f700]) ).
fof(f12758,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(and(necessarily(implies(and(X1,X2),X2)),necessarily(implies(and(X1,X2),X2))),X0))) ),
inference(resolution,[status(thm)],[f3205,f1208]) ).
fof(f12759,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(and(necessarily(implies(and(X0,X1),X1)),necessarily(implies(and(X0,X1),X1)))))) ),
inference(resolution,[status(thm)],[f3205,f1152]) ).
fof(f12760,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(necessarily(implies(and(X1,X2),X2)),necessarily(implies(and(X1,X2),X2))))) ),
inference(resolution,[status(thm)],[f3205,f1148]) ).
fof(f12761,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(necessarily(implies(and(X1,X2),X2)),necessarily(implies(and(X1,X2),X2))))) ),
inference(resolution,[status(thm)],[f3205,f1164]) ).
fof(f12762,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ49_spl
| is_a_theorem(or(and(necessarily(implies(and(X0,X1),X1)),necessarily(implies(and(X0,X1),X1))),X2)) ),
inference(resolution,[status(thm)],[f3205,f1142]) ).
fof(f12763,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(and(and(necessarily(implies(and(X0,X1),X1)),necessarily(implies(and(X0,X1),X1))),and(necessarily(implies(and(X0,X1),X1)),necessarily(implies(and(X0,X1),X1))))) ),
inference(resolution,[status(thm)],[f3205,f3013]) ).
fof(f12764,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(and(necessarily(implies(and(X0,X1),X1)),necessarily(implies(and(X0,X1),X1))))) ),
inference(resolution,[status(thm)],[f3205,f666]) ).
fof(f12765,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(not(X0),X1),implies(X1,not(X0)))),necessarily(implies(and(or(X0,X1),implies(X1,not(X0))),implies(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1121,f3205]) ).
fof(f12766,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(X0,not(X1)),or(X1,X0))),necessarily(implies(and(implies(X0,not(X1)),or(X1,X0)),or(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f1120,f3205]) ).
fof(f12767,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(X0,X1),implies(X1,X0))),necessarily(implies(and(implies(X0,X1),implies(X1,X0)),implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f659,f3205]) ).
fof(f12768,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(and(or(X0,X1),implies(X1,not(X0))),implies(X1,not(X0)))),necessarily(implies(equiv(not(X0),X1),implies(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1121,f3205]) ).
fof(f12770,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(and(implies(X0,X1),implies(X1,X0)),implies(X1,X0))),necessarily(implies(equiv(X0,X1),implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f659,f3205]) ).
fof(f12771,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(not(X0),X1),implies(X1,not(X0)))),necessarily(implies(equiv(not(X0),X1),implies(X1,not(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1121,f12765]) ).
fof(f12772,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(X0,not(X1)),or(X1,X0))),necessarily(implies(equiv(X0,not(X1)),or(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f1120,f12766]) ).
fof(f12773,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(X0,X1),implies(X1,X0))),necessarily(implies(equiv(X0,X1),implies(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f659,f12767]) ).
fof(f12774,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(not(X0),X1),implies(X1,not(X0)))),necessarily(implies(equiv(not(X0),X1),implies(X1,not(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1121,f12768]) ).
fof(f12776,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(equiv(X0,X1),implies(X1,X0))),necessarily(implies(equiv(X0,X1),implies(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f659,f12770]) ).
fof(f12779,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(and(necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))),not(X0)))) ),
inference(resolution,[status(thm)],[f3207,f2941]) ).
fof(f12780,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),and(necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))))) ),
inference(resolution,[status(thm)],[f3207,f1868]) ).
fof(f12781,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3)))))) ),
inference(resolution,[status(thm)],[f3207,f1869]) ).
fof(f12782,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))))) ),
inference(resolution,[status(thm)],[f3207,f1870]) ).
fof(f12783,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))))) ),
inference(resolution,[status(thm)],[f3207,f1871]) ).
fof(f12784,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3)))))) ),
inference(resolution,[status(thm)],[f3207,f1872]) ).
fof(f12785,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3)))))) ),
inference(resolution,[status(thm)],[f3207,f1873]) ).
fof(f12786,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3)))))) ),
inference(resolution,[status(thm)],[f3207,f1874]) ).
fof(f12787,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3)))))) ),
inference(resolution,[status(thm)],[f3207,f1875]) ).
fof(f12788,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(necessarily(implies(implies(X3,implies(X3,X4)),implies(X3,X4))),necessarily(implies(implies(X3,implies(X3,X4)),implies(X3,X4)))))) ),
inference(resolution,[status(thm)],[f3207,f1876]) ).
fof(f12789,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(necessarily(implies(implies(X3,implies(X3,X4)),implies(X3,X4))),necessarily(implies(implies(X3,implies(X3,X4)),implies(X3,X4)))))) ),
inference(resolution,[status(thm)],[f3207,f1877]) ).
fof(f12790,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3)))))) ),
inference(resolution,[status(thm)],[f3207,f1878]) ).
fof(f12791,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3)))))) ),
inference(resolution,[status(thm)],[f3207,f1879]) ).
fof(f12792,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3)))))) ),
inference(resolution,[status(thm)],[f3207,f1880]) ).
fof(f12793,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3)))))) ),
inference(resolution,[status(thm)],[f3207,f1881]) ).
fof(f12794,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3)))))) ),
inference(resolution,[status(thm)],[f3207,f1882]) ).
fof(f12795,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3)))))) ),
inference(resolution,[status(thm)],[f3207,f1883]) ).
fof(f12796,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3)))))) ),
inference(resolution,[status(thm)],[f3207,f1884]) ).
fof(f12797,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))))) ),
inference(resolution,[status(thm)],[f3207,f1885]) ).
fof(f12798,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))))) ),
inference(resolution,[status(thm)],[f3207,f3015]) ).
fof(f12799,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(and(necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3207,f700]) ).
fof(f12800,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(and(necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))),X0))) ),
inference(resolution,[status(thm)],[f3207,f1208]) ).
fof(f12801,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(and(necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1))))))) ),
inference(resolution,[status(thm)],[f3207,f1152]) ).
fof(f12802,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))))) ),
inference(resolution,[status(thm)],[f3207,f1148]) ).
fof(f12803,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))))) ),
inference(resolution,[status(thm)],[f3207,f1164]) ).
fof(f12804,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(or(and(necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))),X2)) ),
inference(resolution,[status(thm)],[f3207,f1142]) ).
fof(f12805,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(and(necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))),and(necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))))) ),
inference(resolution,[status(thm)],[f3207,f3013]) ).
fof(f12806,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(and(necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),necessarily(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))))) ),
inference(resolution,[status(thm)],[f3207,f666]) ).
fof(f12807,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(or(X0,implies(not(X0),X1)),implies(not(X0),X1))),necessarily(implies(implies(not(X0),implies(not(X0),X1)),implies(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f1047,f3207]) ).
fof(f12813,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(or(X0,or(X0,X1)),implies(not(X0),X1))),necessarily(implies(implies(not(X0),implies(not(X0),X1)),implies(not(X0),X1))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f12807]) ).
fof(f12814,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(or(X0,or(X0,X1)),or(X0,X1))),necessarily(implies(implies(not(X0),implies(not(X0),X1)),implies(not(X0),X1))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f12813]) ).
fof(f12815,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(or(X0,or(X0,X1)),or(X0,X1))),necessarily(implies(or(X0,implies(not(X0),X1)),implies(not(X0),X1))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f12814]) ).
fof(f12816,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(or(X0,or(X0,X1)),or(X0,X1))),necessarily(implies(or(X0,or(X0,X1)),implies(not(X0),X1))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f12815]) ).
fof(f12817,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(or(X0,or(X0,X1)),or(X0,X1))),necessarily(implies(or(X0,or(X0,X1)),or(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f12816]) ).
fof(f12848,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(and(necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))),not(X0)))) ),
inference(resolution,[status(thm)],[f3208,f2941]) ).
fof(f12849,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),and(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))),necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))))) ),
inference(resolution,[status(thm)],[f3208,f1868]) ).
fof(f12850,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))))) ),
inference(resolution,[status(thm)],[f3208,f1869]) ).
fof(f12851,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))))) ),
inference(resolution,[status(thm)],[f3208,f1870]) ).
fof(f12852,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))))) ),
inference(resolution,[status(thm)],[f3208,f1871]) ).
fof(f12853,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))))) ),
inference(resolution,[status(thm)],[f3208,f1872]) ).
fof(f12854,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))))) ),
inference(resolution,[status(thm)],[f3208,f1873]) ).
fof(f12855,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))))) ),
inference(resolution,[status(thm)],[f3208,f1874]) ).
fof(f12856,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))))) ),
inference(resolution,[status(thm)],[f3208,f1875]) ).
fof(f12857,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(necessarily(implies(implies(X3,X4),implies(implies(X4,X3),equiv(X3,X4)))),necessarily(implies(implies(X3,X4),implies(implies(X4,X3),equiv(X3,X4))))))) ),
inference(resolution,[status(thm)],[f3208,f1876]) ).
fof(f12858,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(necessarily(implies(implies(X3,X4),implies(implies(X4,X3),equiv(X3,X4)))),necessarily(implies(implies(X3,X4),implies(implies(X4,X3),equiv(X3,X4))))))) ),
inference(resolution,[status(thm)],[f3208,f1877]) ).
fof(f12859,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))))) ),
inference(resolution,[status(thm)],[f3208,f1878]) ).
fof(f12860,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))))) ),
inference(resolution,[status(thm)],[f3208,f1879]) ).
fof(f12861,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))))) ),
inference(resolution,[status(thm)],[f3208,f1880]) ).
fof(f12862,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))))) ),
inference(resolution,[status(thm)],[f3208,f1881]) ).
fof(f12863,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))))) ),
inference(resolution,[status(thm)],[f3208,f1882]) ).
fof(f12864,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))))) ),
inference(resolution,[status(thm)],[f3208,f1883]) ).
fof(f12865,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))))) ),
inference(resolution,[status(thm)],[f3208,f1884]) ).
fof(f12866,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))))) ),
inference(resolution,[status(thm)],[f3208,f1885]) ).
fof(f12867,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))))) ),
inference(resolution,[status(thm)],[f3208,f3015]) ).
fof(f12868,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(and(necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3208,f700]) ).
fof(f12869,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(and(necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))),X0))) ),
inference(resolution,[status(thm)],[f3208,f1208]) ).
fof(f12870,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(and(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))),necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))))))) ),
inference(resolution,[status(thm)],[f3208,f1152]) ).
fof(f12871,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))))) ),
inference(resolution,[status(thm)],[f3208,f1148]) ).
fof(f12872,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))))) ),
inference(resolution,[status(thm)],[f3208,f1164]) ).
fof(f12873,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ49_spl
| is_a_theorem(or(and(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))),necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))),X2)) ),
inference(resolution,[status(thm)],[f3208,f1142]) ).
fof(f12874,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(and(and(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))),necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))),and(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))),necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))))) ),
inference(resolution,[status(thm)],[f3208,f3013]) ).
fof(f12875,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(and(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))),necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))))) ),
inference(resolution,[status(thm)],[f3208,f666]) ).
fof(f12876,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1)))),necessarily(implies(implies(not(X0),X1),implies(implies(X1,not(X0)),equiv(not(X0),X1)))))) ),
inference(paramodulation,[status(thm)],[f1047,f3208]) ).
fof(f12877,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1))))),necessarily(implies(implies(X0,not(X1)),implies(implies(not(X1),X0),equiv(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1047,f3208]) ).
fof(f12880,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1)))),necessarily(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f12876]) ).
fof(f12881,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1))))),necessarily(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f12877]) ).
fof(f12896,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,not(or(X1,implies(X2,X2)))),equiv(not(or(X1,implies(X2,X2))),X0))) ),
inference(resolution,[status(thm)],[f3424,f2432]) ).
fof(f12898,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(or(X2,implies(X3,X3))),X0),X1))) ),
inference(resolution,[status(thm)],[f3424,f2544]) ).
fof(f12899,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3424,f1122]) ).
fof(f12900,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,and(or(or(X1,implies(X2,X2)),X3),not(X0)))) ),
inference(resolution,[status(thm)],[f3424,f2941]) ).
fof(f12901,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(or(X0,implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3424,f1868]) ).
fof(f12902,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3424,f1869]) ).
fof(f12903,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(or(X1,implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3424,f1870]) ).
fof(f12904,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(or(X1,implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3424,f1871]) ).
fof(f12905,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3424,f1872]) ).
fof(f12906,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3424,f1873]) ).
fof(f12907,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3424,f1874]) ).
fof(f12908,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3424,f1875]) ).
fof(f12909,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(or(X3,implies(X4,X4)),X5))) ),
inference(resolution,[status(thm)],[f3424,f1876]) ).
fof(f12910,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(or(X3,implies(X4,X4)),X5))) ),
inference(resolution,[status(thm)],[f3424,f1877]) ).
fof(f12911,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3424,f1878]) ).
fof(f12912,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3424,f1879]) ).
fof(f12913,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3424,f1880]) ).
fof(f12914,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3424,f1881]) ).
fof(f12915,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3424,f1882]) ).
fof(f12916,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3424,f1883]) ).
fof(f12917,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3424,f1884]) ).
fof(f12918,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(or(X1,implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3424,f1885]) ).
fof(f12919,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(or(X1,implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3424,f3015]) ).
fof(f12920,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(or(X1,implies(X2,X2)),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3424,f700]) ).
fof(f12921,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(or(X1,implies(X2,X2)),X3),X0))) ),
inference(resolution,[status(thm)],[f3424,f1208]) ).
fof(f12922,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(or(or(X0,implies(X1,X1)),X2)))) ),
inference(resolution,[status(thm)],[f3424,f1152]) ).
fof(f12923,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(or(X1,implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3424,f1148]) ).
fof(f12924,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(or(X1,implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3424,f1164]) ).
fof(f12925,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(or(X0,implies(X1,X1)),X2),X3)) ),
inference(resolution,[status(thm)],[f3424,f1142]) ).
fof(f12926,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(or(X0,implies(X1,X1)),X2),or(or(X0,implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3424,f3013]) ).
fof(f12927,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(or(X0,implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3424,f666]) ).
fof(f12931,definition,
! [X0,X1] :
( sQ206_spl
<=> ~ is_a_theorem(not(or(X0,implies(X1,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f12932,plain,
! [X0,X1] :
( ~ sQ206_spl
| ~ is_a_theorem(not(or(X0,implies(X1,X1)))) ),
inference(component_clause,[status(thm)],[f12931]) ).
fof(f12934,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| sQ173_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f12899,f12931,f1459,f397,f386,f463,f452,f341,f644,f630]) ).
fof(f12936,plain,
( ~ sQ176_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1472,f1460]) ).
fof(f12937,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ176_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f12227,f1460]) ).
fof(f12938,plain,
( sQ105_spl
| ~ sQ6_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f4961]) ).
fof(f12997,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)],[f1121,f420]) ).
fof(f12998,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)],[f1120,f420]) ).
fof(f12999,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f659,f420]) ).
fof(f13003,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)],[f1121,f431]) ).
fof(f13004,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)],[f1120,f431]) ).
fof(f13005,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f659,f431]) ).
fof(f13010,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ113_spl
| is_a_theorem(necessarily(necessarily(X0)))
| ~ is_a_theorem(necessarily(X0)) ),
inference(resolution,[status(thm)],[f756,f342]) ).
fof(f13027,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)],[f1121,f442]) ).
fof(f13028,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)],[f1120,f442]) ).
fof(f13029,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)],[f659,f442]) ).
fof(f13034,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1047,f387]) ).
fof(f13039,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f1118,f464]) ).
fof(f13040,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(X1),X0))) ),
inference(paramodulation,[status(thm)],[f1119,f464]) ).
fof(f13042,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ191_spl
| is_a_theorem(and(implies(X1,X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3447,f700]) ).
fof(f13043,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ191_spl
| is_a_theorem(necessarily(implies(X0,X0))) ),
inference(resolution,[status(thm)],[f3447,f666]) ).
fof(f13044,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(paramodulation,[status(thm)],[f1047,f3447]) ).
fof(f13062,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f659,f519]) ).
fof(f13071,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),not(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1118,f3034]) ).
fof(f13072,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),not(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1119,f3034]) ).
fof(f13075,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(not(X0)),possibly(X0))) ),
inference(paramodulation,[status(thm)],[f943,f3034]) ).
fof(f13078,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,not(X1)),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f645,f3034]) ).
fof(f13079,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f645,f13071]) ).
fof(f13080,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),possibly(X0))) ),
inference(forward_demodulation,[status(thm)],[f943,f13072]) ).
fof(f13081,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),possibly(X0))) ),
inference(forward_demodulation,[status(thm)],[f1119,f13075]) ).
fof(f13082,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f1118,f13078]) ).
fof(f13083,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f3033,f1131]) ).
fof(f13114,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f1148,f3447]) ).
fof(f13140,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f1164,f3447]) ).
fof(f13166,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f1142,f3447]) ).
fof(f13170,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f3013,f3034]) ).
fof(f13192,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f3013,f3447]) ).
fof(f13195,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(forward_demodulation,[status(thm)],[f659,f13192]) ).
fof(f13197,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(X1)))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f1120,f1170]) ).
fof(f13198,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1170]) ).
fof(f13199,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f1121,f1145]) ).
fof(f13201,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1145]) ).
fof(f13239,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3295]) ).
fof(f13248,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3032]) ).
fof(f13303,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f1160,f3447]) ).
fof(f13335,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f1152,f3447]) ).
fof(f13357,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(X1,X0),X1))) ),
inference(resolution,[status(thm)],[f1203,f3447]) ).
fof(f13382,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(X0),necessarily(X0))) ),
inference(resolution,[status(thm)],[f1157,f3033]) ).
fof(f13414,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,X1),X0))) ),
inference(resolution,[status(thm)],[f1208,f3447]) ).
fof(f13425,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f508]) ).
fof(f13427,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f409]) ).
fof(f13428,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f442]) ).
fof(f13429,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1214,f3032]) ).
fof(f13430,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1214,f387]) ).
fof(f13481,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1199,f3285]) ).
fof(f13482,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ43_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1167,f3285]) ).
fof(f13485,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ10_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1228,f3034]) ).
fof(f13530,plain,
( ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1868,f723]) ).
fof(f13886,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ206_spl
| ~ is_a_theorem(not(implies(implies(X0,X1),implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1118,f12932]) ).
fof(f13887,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ206_spl
| ~ is_a_theorem(not(implies(possibly(X0),implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1119,f12932]) ).
fof(f13888,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ206_spl
| ~ is_a_theorem(not(or(X0,or(X1,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1047,f12932]) ).
fof(f14492,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1194,f1228]) ).
fof(f14726,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f1179,f1228]) ).
fof(f14952,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)],[f1118,f1166]) ).
fof(f14953,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)],[f1119,f1166]) ).
fof(f15035,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f1150]) ).
fof(f15185,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1118,f1367]) ).
fof(f15186,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1119,f1367]) ).
fof(f15216,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1118,f1348]) ).
fof(f15217,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1119,f1348]) ).
fof(f15532,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)],[f1121,f1171]) ).
fof(f15533,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,not(X1)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1120,f1171]) ).
fof(f15534,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1171]) ).
fof(f15564,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(not(X0),X1),implies(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1121,f1146]) ).
fof(f15565,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)],[f1120,f1146]) ).
fof(f15566,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f659,f1146]) ).
fof(f15596,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(X0,equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f4574]) ).
fof(f15717,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1210]) ).
fof(f15718,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1120,f1210]) ).
fof(f15719,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f1210]) ).
fof(f15749,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(X0,implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3443]) ).
fof(f15781,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f1149]) ).
fof(f15812,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)],[f1118,f1165]) ).
fof(f15813,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)],[f1119,f1165]) ).
fof(f15876,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(implies(implies(X0,X0),equiv(X0,X0)))) ),
inference(paramodulation,[status(thm)],[f659,f3020]) ).
fof(f16122,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,possibly(implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f4858]) ).
fof(f16222,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,possibly(equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f4820]) ).
fof(f16255,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f1264]) ).
fof(f16288,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3179]) ).
fof(f16322,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,necessarily(equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3304]) ).
fof(f16411,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(resolution,[status(thm)],[f1202,f342]) ).
fof(f16434,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f1202,f1142]) ).
fof(f16435,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1202,f1164]) ).
fof(f16454,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(resolution,[status(thm)],[f1169,f342]) ).
fof(f16477,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(implies(equiv(X0,not(X1)),or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f1169,f1142]) ).
fof(f16478,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1169,f1164]) ).
fof(f16526,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1047,f1248]) ).
fof(f16606,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(X1,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3188]) ).
fof(f16620,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ205_spl
| ~ is_a_theorem(and(necessarily(possibly(necessarily(not(X0)))),possibly(necessarily(possibly(X0))))) ),
inference(paramodulation,[status(thm)],[f1114,f12231]) ).
fof(f16621,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ205_spl
| ~ is_a_theorem(and(necessarily(possibly(and(X0,not(X1)))),possibly(necessarily(implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1117,f12231]) ).
fof(f16623,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ205_spl
| ~ is_a_theorem(and(necessarily(implies(X0,and(X1,not(X2)))),possibly(and(X0,implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1115,f12231]) ).
fof(f16624,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ205_spl
| ~ is_a_theorem(and(necessarily(implies(X0,necessarily(not(X1)))),possibly(and(X0,possibly(X1))))) ),
inference(paramodulation,[status(thm)],[f1116,f12231]) ).
fof(f16628,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ199_spl
| ~ is_a_theorem(not(possibly(or(necessarily(possibly(X0)),possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1114,f8577]) ).
fof(f16629,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ199_spl
| ~ is_a_theorem(not(possibly(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1117,f8577]) ).
fof(f16631,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ199_spl
| ~ is_a_theorem(not(possibly(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1115,f8577]) ).
fof(f16632,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ199_spl
| ~ is_a_theorem(not(possibly(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1116,f8577]) ).
fof(f16901,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| possibly(and(possibly(necessarily(not(X0))),not(X1))) = not(necessarily(or(necessarily(possibly(X0)),X1))) ),
inference(paramodulation,[status(thm)],[f1114,f1315]) ).
fof(f16902,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| possibly(and(possibly(and(X0,not(X1))),not(X2))) = not(necessarily(or(necessarily(implies(X0,X1)),X2))) ),
inference(paramodulation,[status(thm)],[f1117,f1315]) ).
fof(f16904,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ164_spl
| possibly(and(implies(X0,and(X1,not(X2))),not(X3))) = not(necessarily(or(and(X0,implies(X1,X2)),X3))) ),
inference(paramodulation,[status(thm)],[f1115,f1315]) ).
fof(f16905,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| possibly(and(implies(X0,necessarily(not(X1))),not(X2))) = not(necessarily(or(and(X0,possibly(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f1116,f1315]) ).
fof(f16907,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| possibly(and(not(X0),possibly(necessarily(not(X1))))) = not(necessarily(or(X0,necessarily(possibly(X1))))) ),
inference(paramodulation,[status(thm)],[f1114,f1315]) ).
fof(f16908,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| possibly(and(not(X0),possibly(and(X1,not(X2))))) = not(necessarily(or(X0,necessarily(implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1117,f1315]) ).
fof(f16909,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| possibly(and(not(X0),possibly(X1))) = not(necessarily(or(X0,necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f943,f1315]) ).
fof(f16910,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ164_spl
| possibly(and(not(X0),implies(X1,and(X2,not(X3))))) = not(necessarily(or(X0,and(X1,implies(X2,X3))))) ),
inference(paramodulation,[status(thm)],[f1115,f1315]) ).
fof(f16911,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| possibly(and(not(X0),implies(X1,necessarily(not(X2))))) = not(necessarily(or(X0,and(X1,possibly(X2))))) ),
inference(paramodulation,[status(thm)],[f1116,f1315]) ).
fof(f16912,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ164_spl
| possibly(and(not(X0),implies(X1,X2))) = not(necessarily(or(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f645,f1315]) ).
fof(f16913,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ202_spl
| ~ is_a_theorem(not(necessarily(or(X0,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1315,f8457]) ).
fof(f16916,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(implies(and(not(X0),not(X1)),necessarily(not(necessarily(or(X0,X1))))))) ),
inference(paramodulation,[status(thm)],[f1315,f1153]) ).
fof(f16917,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ116_spl
| is_a_theorem(implies(and(not(X0),not(X1)),necessarily(not(necessarily(or(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1315,f767]) ).
fof(f16930,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f1176,f1228]) ).
fof(f16959,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),implies(X1,not(X0))),X2)) ),
inference(paramodulation,[status(thm)],[f1121,f1176]) ).
fof(f16961,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f659,f1176]) ).
fof(f16963,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f1175,f1228]) ).
fof(f16993,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,not(X1)),implies(X0,not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1120,f1175]) ).
fof(f16994,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f659,f1175]) ).
fof(f16996,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1183,f1228]) ).
fof(f17029,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1182,f1228]) ).
fof(f17059,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,X2),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1118,f1182]) ).
fof(f17060,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(possibly(X1),X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1119,f1182]) ).
fof(f17063,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ87_spl
| equiv(possibly(necessarily(not(X0))),not(X1)) = and(or(necessarily(possibly(X0)),not(X1)),or(X1,possibly(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1047,f1442]) ).
fof(f17064,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(possibly(necessarily(not(necessarily(possibly(X0))))),X1) = and(or(necessarily(possibly(necessarily(possibly(X0)))),X1),implies(X1,possibly(necessarily(possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1114,f1442]) ).
fof(f17065,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(necessarily(not(necessarily(implies(X0,X1))))),X2) = and(or(necessarily(possibly(necessarily(implies(X0,X1)))),X2),implies(X2,possibly(necessarily(possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1117,f1442]) ).
fof(f17067,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(necessarily(not(and(X0,implies(X1,X2))))),X3) = and(or(necessarily(possibly(and(X0,implies(X1,X2)))),X3),implies(X3,possibly(necessarily(implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1115,f1442]) ).
fof(f17068,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(necessarily(not(and(X0,possibly(X1))))),X2) = and(or(necessarily(possibly(and(X0,possibly(X1)))),X2),implies(X2,possibly(necessarily(implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1116,f1442]) ).
fof(f17070,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| implies(or(necessarily(possibly(X0)),X1),and(X1,not(possibly(necessarily(not(X0)))))) = not(equiv(possibly(necessarily(not(X0))),X1)) ),
inference(paramodulation,[status(thm)],[f1442,f1115]) ).
fof(f17071,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(possibly(necessarily(not(X0))),X1),or(necessarily(possibly(X0)),X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1442,f1175]) ).
fof(f17072,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(possibly(necessarily(not(X0))),X1),implies(X1,possibly(necessarily(not(X0))))),X2)) ),
inference(paramodulation,[status(thm)],[f1442,f1176]) ).
fof(f17073,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(or(necessarily(possibly(X0)),X1),implies(implies(X1,possibly(necessarily(not(X0)))),equiv(possibly(necessarily(not(X0))),X1))))) ),
inference(paramodulation,[status(thm)],[f1442,f1210]) ).
fof(f17074,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(possibly(necessarily(not(X0))),X1),implies(X1,possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1442,f1146]) ).
fof(f17075,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(possibly(necessarily(not(X0))),X1),or(necessarily(possibly(X0)),X1)))) ),
inference(paramodulation,[status(thm)],[f1442,f1171]) ).
fof(f17077,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ185_spl
| ~ is_a_theorem(not(implies(equiv(possibly(necessarily(not(X0))),X1),or(necessarily(possibly(X0)),X1)))) ),
inference(paramodulation,[status(thm)],[f1442,f3057]) ).
fof(f17078,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,possibly(necessarily(not(X0)))))
| ~ is_a_theorem(equiv(possibly(necessarily(not(X0))),X1)) ),
inference(paramodulation,[status(thm)],[f1442,f1145]) ).
fof(f17080,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(necessarily(possibly(X0)),X1),implies(implies(X1,possibly(necessarily(not(X0)))),equiv(possibly(necessarily(not(X0))),X1)))) ),
inference(paramodulation,[status(thm)],[f1442,f442]) ).
fof(f17081,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(possibly(necessarily(not(X0))),X1),implies(X1,possibly(necessarily(not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1442,f431]) ).
fof(f17082,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(possibly(necessarily(not(X0))),X1),or(necessarily(possibly(X0)),X1))) ),
inference(paramodulation,[status(thm)],[f1442,f420]) ).
fof(f17088,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(possibly(necessarily(possibly(necessarily(not(X0))))),X1) = and(or(necessarily(possibly(necessarily(possibly(X0)))),X1),implies(X1,possibly(necessarily(possibly(necessarily(not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f17064]) ).
fof(f17089,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(necessarily(possibly(and(X0,not(X1))))),X2) = and(or(necessarily(possibly(necessarily(implies(X0,X1)))),X2),implies(X2,possibly(necessarily(possibly(and(X0,not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f17065]) ).
fof(f17092,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(necessarily(implies(X0,and(X1,not(X2))))),X3) = and(or(necessarily(possibly(and(X0,implies(X1,X2)))),X3),implies(X3,possibly(necessarily(implies(X0,and(X1,not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f17067]) ).
fof(f17093,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(necessarily(implies(X0,necessarily(not(X1))))),X2) = and(or(necessarily(possibly(and(X0,possibly(X1)))),X2),implies(X2,possibly(necessarily(implies(X0,necessarily(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f17068]) ).
fof(f17097,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ87_spl
| equiv(possibly(and(X0,not(X1))),not(X2)) = and(or(necessarily(implies(X0,X1)),not(X2)),or(X2,possibly(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1047,f1441]) ).
fof(f17099,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(and(X0,not(necessarily(possibly(X1))))),X2) = and(or(necessarily(implies(X0,necessarily(possibly(X1)))),X2),implies(X2,possibly(and(X0,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1114,f1441]) ).
fof(f17100,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(and(X0,not(necessarily(implies(X1,X2))))),X3) = and(or(necessarily(implies(X0,necessarily(implies(X1,X2)))),X3),implies(X3,possibly(and(X0,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1117,f1441]) ).
fof(f17102,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(and(X0,not(and(X1,implies(X2,X3))))),X4) = and(or(necessarily(implies(X0,and(X1,implies(X2,X3)))),X4),implies(X4,possibly(and(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1115,f1441]) ).
fof(f17103,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(and(X0,not(and(X1,possibly(X2))))),X3) = and(or(necessarily(implies(X0,and(X1,possibly(X2)))),X3),implies(X3,possibly(and(X0,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1116,f1441]) ).
fof(f17105,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| implies(or(necessarily(implies(X0,X1)),X2),and(X2,not(possibly(and(X0,not(X1)))))) = not(equiv(possibly(and(X0,not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1441,f1115]) ).
fof(f17106,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(possibly(and(X0,not(X1))),X2),or(necessarily(implies(X0,X1)),X2)),X3)) ),
inference(paramodulation,[status(thm)],[f1441,f1175]) ).
fof(f17107,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(possibly(and(X0,not(X1))),X2),implies(X2,possibly(and(X0,not(X1))))),X3)) ),
inference(paramodulation,[status(thm)],[f1441,f1176]) ).
fof(f17108,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(or(necessarily(implies(X0,X1)),X2),implies(implies(X2,possibly(and(X0,not(X1)))),equiv(possibly(and(X0,not(X1))),X2))))) ),
inference(paramodulation,[status(thm)],[f1441,f1210]) ).
fof(f17109,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(possibly(and(X0,not(X1))),X2),implies(X2,possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1441,f1146]) ).
fof(f17110,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(possibly(and(X0,not(X1))),X2),or(necessarily(implies(X0,X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f1441,f1171]) ).
fof(f17112,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ185_spl
| ~ is_a_theorem(not(implies(equiv(possibly(and(X0,not(X1))),X2),or(necessarily(implies(X0,X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f1441,f3057]) ).
fof(f17113,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X2,possibly(and(X0,not(X1)))))
| ~ is_a_theorem(equiv(possibly(and(X0,not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1441,f1145]) ).
fof(f17115,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(necessarily(implies(X0,X1)),X2),implies(implies(X2,possibly(and(X0,not(X1)))),equiv(possibly(and(X0,not(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1441,f442]) ).
fof(f17116,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(possibly(and(X0,not(X1))),X2),implies(X2,possibly(and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1441,f431]) ).
fof(f17117,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(possibly(and(X0,not(X1))),X2),or(necessarily(implies(X0,X1)),X2))) ),
inference(paramodulation,[status(thm)],[f1441,f420]) ).
fof(f17122,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(and(X0,possibly(necessarily(not(X1))))),X2) = and(or(necessarily(implies(X0,necessarily(possibly(X1)))),X2),implies(X2,possibly(and(X0,possibly(necessarily(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f17099]) ).
fof(f17123,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(and(X0,possibly(and(X1,not(X2))))),X3) = and(or(necessarily(implies(X0,necessarily(implies(X1,X2)))),X3),implies(X3,possibly(and(X0,possibly(and(X1,not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f17100]) ).
fof(f17126,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(and(X0,implies(X1,and(X2,not(X3))))),X4) = and(or(necessarily(implies(X0,and(X1,implies(X2,X3)))),X4),implies(X4,possibly(and(X0,implies(X1,and(X2,not(X3))))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f17102]) ).
fof(f17127,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(and(X0,implies(X1,necessarily(not(X2))))),X3) = and(or(necessarily(implies(X0,and(X1,possibly(X2)))),X3),implies(X3,possibly(and(X0,implies(X1,necessarily(not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f17103]) ).
fof(f17136,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,not(X2))),not(X3)) = and(or(and(X0,implies(X1,X2)),not(X3)),or(X3,implies(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1047,f1438]) ).
fof(f17138,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,not(necessarily(possibly(X2))))),X3) = and(or(and(X0,implies(X1,necessarily(possibly(X2)))),X3),implies(X3,implies(X0,and(X1,possibly(necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1114,f1438]) ).
fof(f17139,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,not(necessarily(implies(X2,X3))))),X4) = and(or(and(X0,implies(X1,necessarily(implies(X2,X3)))),X4),implies(X4,implies(X0,and(X1,possibly(and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1117,f1438]) ).
fof(f17141,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,not(and(X2,implies(X3,X4))))),X5) = and(or(and(X0,implies(X1,and(X2,implies(X3,X4)))),X5),implies(X5,implies(X0,and(X1,implies(X2,and(X3,not(X4))))))) ),
inference(paramodulation,[status(thm)],[f1115,f1438]) ).
fof(f17142,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,not(and(X2,possibly(X3))))),X4) = and(or(and(X0,implies(X1,and(X2,possibly(X3)))),X4),implies(X4,implies(X0,and(X1,implies(X2,necessarily(not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1116,f1438]) ).
fof(f17144,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| implies(or(and(X0,implies(X1,X2)),X3),and(X3,not(implies(X0,and(X1,not(X2)))))) = not(equiv(implies(X0,and(X1,not(X2))),X3)) ),
inference(paramodulation,[status(thm)],[f1438,f1115]) ).
fof(f17145,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(implies(X0,and(X1,not(X2))),X3),or(and(X0,implies(X1,X2)),X3)),X4)) ),
inference(paramodulation,[status(thm)],[f1438,f1175]) ).
fof(f17146,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(implies(X0,and(X1,not(X2))),X3),implies(X3,implies(X0,and(X1,not(X2))))),X4)) ),
inference(paramodulation,[status(thm)],[f1438,f1176]) ).
fof(f17147,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(or(and(X0,implies(X1,X2)),X3),implies(implies(X3,implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),X3))))) ),
inference(paramodulation,[status(thm)],[f1438,f1210]) ).
fof(f17148,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(implies(X0,and(X1,not(X2))),X3),implies(X3,implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1438,f1146]) ).
fof(f17149,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(implies(X0,and(X1,not(X2))),X3),or(and(X0,implies(X1,X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f1438,f1171]) ).
fof(f17151,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ185_spl
| ~ is_a_theorem(not(implies(equiv(implies(X0,and(X1,not(X2))),X3),or(and(X0,implies(X1,X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f1438,f3057]) ).
fof(f17152,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X3,implies(X0,and(X1,not(X2)))))
| ~ is_a_theorem(equiv(implies(X0,and(X1,not(X2))),X3)) ),
inference(paramodulation,[status(thm)],[f1438,f1145]) ).
fof(f17154,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),X3),implies(implies(X3,implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1438,f442]) ).
fof(f17155,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(implies(X0,and(X1,not(X2))),X3),implies(X3,implies(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1438,f431]) ).
fof(f17156,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(implies(X0,and(X1,not(X2))),X3),or(and(X0,implies(X1,X2)),X3))) ),
inference(paramodulation,[status(thm)],[f1438,f420]) ).
fof(f17168,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,possibly(necessarily(not(X2))))),X3) = and(or(and(X0,implies(X1,necessarily(possibly(X2)))),X3),implies(X3,implies(X0,and(X1,possibly(necessarily(not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f17138]) ).
fof(f17169,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,possibly(and(X2,not(X3))))),X4) = and(or(and(X0,implies(X1,necessarily(implies(X2,X3)))),X4),implies(X4,implies(X0,and(X1,possibly(and(X2,not(X3))))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f17139]) ).
fof(f17172,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,implies(X2,and(X3,not(X4))))),X5) = and(or(and(X0,implies(X1,and(X2,implies(X3,X4)))),X5),implies(X5,implies(X0,and(X1,implies(X2,and(X3,not(X4))))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f17141]) ).
fof(f17173,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,implies(X2,necessarily(not(X3))))),X4) = and(or(and(X0,implies(X1,and(X2,possibly(X3)))),X4),implies(X4,implies(X0,and(X1,implies(X2,necessarily(not(X3))))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f17142]) ).
fof(f17179,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ87_spl
| equiv(implies(X0,necessarily(not(X1))),not(X2)) = and(or(and(X0,possibly(X1)),not(X2)),or(X2,implies(X0,necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1047,f1437]) ).
fof(f17181,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,necessarily(not(necessarily(possibly(X1))))),X2) = and(or(and(X0,possibly(necessarily(possibly(X1)))),X2),implies(X2,implies(X0,necessarily(possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1114,f1437]) ).
fof(f17182,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,necessarily(not(necessarily(implies(X1,X2))))),X3) = and(or(and(X0,possibly(necessarily(implies(X1,X2)))),X3),implies(X3,implies(X0,necessarily(possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1117,f1437]) ).
fof(f17184,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,necessarily(not(and(X1,implies(X2,X3))))),X4) = and(or(and(X0,possibly(and(X1,implies(X2,X3)))),X4),implies(X4,implies(X0,necessarily(implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1115,f1437]) ).
fof(f17185,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,necessarily(not(and(X1,possibly(X2))))),X3) = and(or(and(X0,possibly(and(X1,possibly(X2)))),X3),implies(X3,implies(X0,necessarily(implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1116,f1437]) ).
fof(f17188,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| implies(or(and(X0,possibly(X1)),X2),and(X2,not(implies(X0,necessarily(not(X1)))))) = not(equiv(implies(X0,necessarily(not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1437,f1115]) ).
fof(f17189,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(implies(X0,necessarily(not(X1))),X2),or(and(X0,possibly(X1)),X2)),X3)) ),
inference(paramodulation,[status(thm)],[f1437,f1175]) ).
fof(f17190,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(implies(X0,necessarily(not(X1))),X2),implies(X2,implies(X0,necessarily(not(X1))))),X3)) ),
inference(paramodulation,[status(thm)],[f1437,f1176]) ).
fof(f17191,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(or(and(X0,possibly(X1)),X2),implies(implies(X2,implies(X0,necessarily(not(X1)))),equiv(implies(X0,necessarily(not(X1))),X2))))) ),
inference(paramodulation,[status(thm)],[f1437,f1210]) ).
fof(f17192,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(implies(X0,necessarily(not(X1))),X2),implies(X2,implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1437,f1146]) ).
fof(f17193,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(implies(X0,necessarily(not(X1))),X2),or(and(X0,possibly(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f1437,f1171]) ).
fof(f17195,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ185_spl
| ~ is_a_theorem(not(implies(equiv(implies(X0,necessarily(not(X1))),X2),or(and(X0,possibly(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f1437,f3057]) ).
fof(f17196,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X2,implies(X0,necessarily(not(X1)))))
| ~ is_a_theorem(equiv(implies(X0,necessarily(not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1437,f1145]) ).
fof(f17198,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(and(X0,possibly(X1)),X2),implies(implies(X2,implies(X0,necessarily(not(X1)))),equiv(implies(X0,necessarily(not(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1437,f442]) ).
fof(f17199,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(implies(X0,necessarily(not(X1))),X2),implies(X2,implies(X0,necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1437,f431]) ).
fof(f17200,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(implies(X0,necessarily(not(X1))),X2),or(and(X0,possibly(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f1437,f420]) ).
fof(f17207,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,necessarily(possibly(necessarily(not(X1))))),X2) = and(or(and(X0,possibly(necessarily(possibly(X1)))),X2),implies(X2,implies(X0,necessarily(possibly(necessarily(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f17181]) ).
fof(f17208,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,necessarily(possibly(and(X1,not(X2))))),X3) = and(or(and(X0,possibly(necessarily(implies(X1,X2)))),X3),implies(X3,implies(X0,necessarily(possibly(and(X1,not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f17182]) ).
fof(f17211,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,necessarily(implies(X1,and(X2,not(X3))))),X4) = and(or(and(X0,possibly(and(X1,implies(X2,X3)))),X4),implies(X4,implies(X0,necessarily(implies(X1,and(X2,not(X3))))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f17184]) ).
fof(f17212,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,necessarily(implies(X1,necessarily(not(X2))))),X3) = and(or(and(X0,possibly(and(X1,possibly(X2)))),X3),implies(X3,implies(X0,necessarily(implies(X1,necessarily(not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f17185]) ).
fof(f17247,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1047,f1181]) ).
fof(f17251,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(not(X0),not(necessarily(possibly(X1)))) = and(or(X0,possibly(necessarily(not(X1)))),or(necessarily(possibly(X1)),not(X0))) ),
inference(paramodulation,[status(thm)],[f1114,f1394]) ).
fof(f17252,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(not(X0),not(necessarily(implies(X1,X2)))) = and(or(X0,possibly(and(X1,not(X2)))),or(necessarily(implies(X1,X2)),not(X0))) ),
inference(paramodulation,[status(thm)],[f1117,f1394]) ).
fof(f17254,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(not(X0),not(and(X1,implies(X2,X3)))) = and(or(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),not(X0))) ),
inference(paramodulation,[status(thm)],[f1115,f1394]) ).
fof(f17255,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(not(X0),not(and(X1,possibly(X2)))) = and(or(X0,implies(X1,necessarily(not(X2)))),or(and(X1,possibly(X2)),not(X0))) ),
inference(paramodulation,[status(thm)],[f1116,f1394]) ).
fof(f17267,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(implies(or(X0,not(X0)),equiv(not(X0),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1394,f3020]) ).
fof(f17268,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(or(X0,not(X1)),implies(or(X1,not(X0)),equiv(not(X0),not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1394,f1210]) ).
fof(f17269,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(not(X0),not(X1)),or(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1394,f1146]) ).
fof(f17270,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(not(X0),not(X1)),or(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1394,f1171]) ).
fof(f17275,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(X0,not(X0)),equiv(not(X0),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1394,f519]) ).
fof(f17276,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(X0,not(X1)),implies(or(X1,not(X0)),equiv(not(X0),not(X1))))) ),
inference(paramodulation,[status(thm)],[f1394,f442]) ).
fof(f17277,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(not(X0),not(X1)),or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1394,f431]) ).
fof(f17278,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(not(X0),not(X1)),or(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1394,f420]) ).
fof(f17283,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(not(X0),possibly(necessarily(not(X1)))) = and(or(X0,possibly(necessarily(not(X1)))),or(necessarily(possibly(X1)),not(X0))) ),
inference(forward_demodulation,[status(thm)],[f1114,f17251]) ).
fof(f17284,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(not(X0),possibly(and(X1,not(X2)))) = and(or(X0,possibly(and(X1,not(X2)))),or(necessarily(implies(X1,X2)),not(X0))) ),
inference(forward_demodulation,[status(thm)],[f1117,f17252]) ).
fof(f17287,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(not(X0),implies(X1,and(X2,not(X3)))) = and(or(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),not(X0))) ),
inference(forward_demodulation,[status(thm)],[f1115,f17254]) ).
fof(f17288,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(not(X0),implies(X1,necessarily(not(X2)))) = and(or(X0,implies(X1,necessarily(not(X2)))),or(and(X1,possibly(X2)),not(X0))) ),
inference(forward_demodulation,[status(thm)],[f1116,f17255]) ).
fof(f17331,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1118,f1345]) ).
fof(f17332,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1119,f1345]) ).
fof(f17333,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(implies(X1,necessarily(not(X2))),X3),implies(X3,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1437,f1345]) ).
fof(f17334,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(implies(X1,and(X2,not(X3))),X4),implies(X4,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1438,f1345]) ).
fof(f17335,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(possibly(and(X1,not(X2))),X3),implies(X3,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1441,f1345]) ).
fof(f17336,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(possibly(necessarily(not(X1))),X2),implies(X2,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1442,f1345]) ).
fof(f17338,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),X2),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1345]) ).
fof(f17340,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1345]) ).
fof(f17370,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1118,f1344]) ).
fof(f17371,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1119,f1344]) ).
fof(f17372,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(implies(X1,necessarily(not(X2))),X3),or(and(X1,possibly(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f1437,f1344]) ).
fof(f17373,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(implies(X1,and(X2,not(X3))),X4),or(and(X1,implies(X2,X3)),X4)))) ),
inference(paramodulation,[status(thm)],[f1438,f1344]) ).
fof(f17374,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(possibly(and(X1,not(X2))),X3),or(necessarily(implies(X1,X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f1441,f1344]) ).
fof(f17375,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(possibly(necessarily(not(X1))),X2),or(necessarily(possibly(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f1442,f1344]) ).
fof(f17378,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,not(X2)),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1120,f1344]) ).
fof(f17379,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f1344]) ).
fof(f17409,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1118,f1356]) ).
fof(f17410,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1119,f1356]) ).
fof(f17443,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)],[f1118,f1355]) ).
fof(f17444,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)],[f1119,f1355]) ).
fof(f17446,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)],[f1118,f1355]) ).
fof(f17447,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)],[f1119,f1355]) ).
fof(f17450,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(X0,possibly(necessarily(not(necessarily(possibly(X1)))))) = and(implies(X0,possibly(necessarily(possibly(necessarily(not(X1)))))),or(necessarily(possibly(necessarily(possibly(X1)))),X0)) ),
inference(paramodulation,[status(thm)],[f1114,f1412]) ).
fof(f17451,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(necessarily(not(necessarily(implies(X1,X2)))))) = and(implies(X0,possibly(necessarily(possibly(and(X1,not(X2)))))),or(necessarily(possibly(necessarily(implies(X1,X2)))),X0)) ),
inference(paramodulation,[status(thm)],[f1117,f1412]) ).
fof(f17453,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(necessarily(not(and(X1,implies(X2,X3)))))) = and(implies(X0,possibly(necessarily(implies(X1,and(X2,not(X3)))))),or(necessarily(possibly(and(X1,implies(X2,X3)))),X0)) ),
inference(paramodulation,[status(thm)],[f1115,f1412]) ).
fof(f17454,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(necessarily(not(and(X1,possibly(X2)))))) = and(implies(X0,possibly(necessarily(implies(X1,necessarily(not(X2)))))),or(necessarily(possibly(and(X1,possibly(X2)))),X0)) ),
inference(paramodulation,[status(thm)],[f1116,f1412]) ).
fof(f17457,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,possibly(necessarily(not(X2)))),implies(X1,possibly(necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1412,f1344]) ).
fof(f17458,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,possibly(necessarily(not(X2)))),or(necessarily(possibly(X2)),X1)))) ),
inference(paramodulation,[status(thm)],[f1412,f1345]) ).
fof(f17459,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,possibly(necessarily(not(X1)))),implies(X0,possibly(necessarily(not(X1))))),X2)) ),
inference(paramodulation,[status(thm)],[f1412,f1175]) ).
fof(f17460,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,possibly(necessarily(not(X1)))),or(necessarily(possibly(X1)),X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1412,f1176]) ).
fof(f17461,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,possibly(necessarily(not(X1)))),implies(or(necessarily(possibly(X1)),X0),equiv(X0,possibly(necessarily(not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1412,f1210]) ).
fof(f17462,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(X0,possibly(necessarily(not(X1)))),or(necessarily(possibly(X1)),X0)))) ),
inference(paramodulation,[status(thm)],[f1412,f1146]) ).
fof(f17463,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,possibly(necessarily(not(X1)))),implies(X0,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1412,f1171]) ).
fof(f17464,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ186_spl
| ~ is_a_theorem(not(implies(equiv(X0,possibly(necessarily(not(X1)))),or(necessarily(possibly(X1)),X0)))) ),
inference(paramodulation,[status(thm)],[f1412,f3061]) ).
fof(f17467,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,possibly(necessarily(not(X1)))))
| ~ is_a_theorem(equiv(X0,possibly(necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1412,f1170]) ).
fof(f17468,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,possibly(necessarily(not(X1)))),implies(or(necessarily(possibly(X1)),X0),equiv(X0,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1412,f442]) ).
fof(f17469,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,possibly(necessarily(not(X1)))),or(necessarily(possibly(X1)),X0))) ),
inference(paramodulation,[status(thm)],[f1412,f431]) ).
fof(f17470,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,possibly(necessarily(not(X1)))),implies(X0,possibly(necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1412,f420]) ).
fof(f17471,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(X0,possibly(necessarily(possibly(necessarily(not(X1)))))) = and(implies(X0,possibly(necessarily(possibly(necessarily(not(X1)))))),or(necessarily(possibly(necessarily(possibly(X1)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1114,f17450]) ).
fof(f17472,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(necessarily(possibly(and(X1,not(X2)))))) = and(implies(X0,possibly(necessarily(possibly(and(X1,not(X2)))))),or(necessarily(possibly(necessarily(implies(X1,X2)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1117,f17451]) ).
fof(f17475,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(necessarily(implies(X1,and(X2,not(X3)))))) = and(implies(X0,possibly(necessarily(implies(X1,and(X2,not(X3)))))),or(necessarily(possibly(and(X1,implies(X2,X3)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1115,f17453]) ).
fof(f17476,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(necessarily(implies(X1,necessarily(not(X2)))))) = and(implies(X0,possibly(necessarily(implies(X1,necessarily(not(X2)))))),or(necessarily(possibly(and(X1,possibly(X2)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1116,f17454]) ).
fof(f17486,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(and(X1,not(necessarily(possibly(X2)))))) = and(implies(X0,possibly(and(X1,possibly(necessarily(not(X2)))))),or(necessarily(implies(X1,necessarily(possibly(X2)))),X0)) ),
inference(paramodulation,[status(thm)],[f1114,f1411]) ).
fof(f17487,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(and(X1,not(necessarily(implies(X2,X3)))))) = and(implies(X0,possibly(and(X1,possibly(and(X2,not(X3)))))),or(necessarily(implies(X1,necessarily(implies(X2,X3)))),X0)) ),
inference(paramodulation,[status(thm)],[f1117,f1411]) ).
fof(f17489,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(and(X1,not(and(X2,implies(X3,X4)))))) = and(implies(X0,possibly(and(X1,implies(X2,and(X3,not(X4)))))),or(necessarily(implies(X1,and(X2,implies(X3,X4)))),X0)) ),
inference(paramodulation,[status(thm)],[f1115,f1411]) ).
fof(f17490,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(and(X1,not(and(X2,possibly(X3)))))) = and(implies(X0,possibly(and(X1,implies(X2,necessarily(not(X3)))))),or(necessarily(implies(X1,and(X2,possibly(X3)))),X0)) ),
inference(paramodulation,[status(thm)],[f1116,f1411]) ).
fof(f17493,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,possibly(and(X2,not(X3)))),implies(X1,possibly(and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1411,f1344]) ).
fof(f17494,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,possibly(and(X2,not(X3)))),or(necessarily(implies(X2,X3)),X1)))) ),
inference(paramodulation,[status(thm)],[f1411,f1345]) ).
fof(f17495,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,possibly(and(X1,not(X2)))),implies(X0,possibly(and(X1,not(X2))))),X3)) ),
inference(paramodulation,[status(thm)],[f1411,f1175]) ).
fof(f17496,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,possibly(and(X1,not(X2)))),or(necessarily(implies(X1,X2)),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1411,f1176]) ).
fof(f17497,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,possibly(and(X1,not(X2)))),implies(or(necessarily(implies(X1,X2)),X0),equiv(X0,possibly(and(X1,not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1411,f1210]) ).
fof(f17498,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(X0,possibly(and(X1,not(X2)))),or(necessarily(implies(X1,X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1411,f1146]) ).
fof(f17499,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,possibly(and(X1,not(X2)))),implies(X0,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1411,f1171]) ).
fof(f17500,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ186_spl
| ~ is_a_theorem(not(implies(equiv(X0,possibly(and(X1,not(X2)))),or(necessarily(implies(X1,X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1411,f3061]) ).
fof(f17503,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,possibly(and(X1,not(X2)))))
| ~ is_a_theorem(equiv(X0,possibly(and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1411,f1170]) ).
fof(f17504,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,possibly(and(X1,not(X2)))),implies(or(necessarily(implies(X1,X2)),X0),equiv(X0,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1411,f442]) ).
fof(f17505,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,possibly(and(X1,not(X2)))),or(necessarily(implies(X1,X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1411,f431]) ).
fof(f17506,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,possibly(and(X1,not(X2)))),implies(X0,possibly(and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1411,f420]) ).
fof(f17509,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(and(X1,possibly(necessarily(not(X2)))))) = and(implies(X0,possibly(and(X1,possibly(necessarily(not(X2)))))),or(necessarily(implies(X1,necessarily(possibly(X2)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1114,f17486]) ).
fof(f17510,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(and(X1,possibly(and(X2,not(X3)))))) = and(implies(X0,possibly(and(X1,possibly(and(X2,not(X3)))))),or(necessarily(implies(X1,necessarily(implies(X2,X3)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1117,f17487]) ).
fof(f17513,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(and(X1,implies(X2,and(X3,not(X4)))))) = and(implies(X0,possibly(and(X1,implies(X2,and(X3,not(X4)))))),or(necessarily(implies(X1,and(X2,implies(X3,X4)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1115,f17489]) ).
fof(f17514,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,possibly(and(X1,implies(X2,necessarily(not(X3)))))) = and(implies(X0,possibly(and(X1,implies(X2,necessarily(not(X3)))))),or(necessarily(implies(X1,and(X2,possibly(X3)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1116,f17490]) ).
fof(f17521,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,and(X2,not(necessarily(possibly(X3)))))) = and(implies(X0,implies(X1,and(X2,possibly(necessarily(not(X3)))))),or(and(X1,implies(X2,necessarily(possibly(X3)))),X0)) ),
inference(paramodulation,[status(thm)],[f1114,f1408]) ).
fof(f17522,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,and(X2,not(necessarily(implies(X3,X4)))))) = and(implies(X0,implies(X1,and(X2,possibly(and(X3,not(X4)))))),or(and(X1,implies(X2,necessarily(implies(X3,X4)))),X0)) ),
inference(paramodulation,[status(thm)],[f1117,f1408]) ).
fof(f17524,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,and(X2,not(and(X3,implies(X4,X5)))))) = and(implies(X0,implies(X1,and(X2,implies(X3,and(X4,not(X5)))))),or(and(X1,implies(X2,and(X3,implies(X4,X5)))),X0)) ),
inference(paramodulation,[status(thm)],[f1115,f1408]) ).
fof(f17525,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,and(X2,not(and(X3,possibly(X4)))))) = and(implies(X0,implies(X1,and(X2,implies(X3,necessarily(not(X4)))))),or(and(X1,implies(X2,and(X3,possibly(X4)))),X0)) ),
inference(paramodulation,[status(thm)],[f1116,f1408]) ).
fof(f17534,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,implies(X2,and(X3,not(X4)))),implies(X1,implies(X2,and(X3,not(X4))))))) ),
inference(paramodulation,[status(thm)],[f1408,f1344]) ).
fof(f17535,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,implies(X2,and(X3,not(X4)))),or(and(X2,implies(X3,X4)),X1)))) ),
inference(paramodulation,[status(thm)],[f1408,f1345]) ).
fof(f17536,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,implies(X1,and(X2,not(X3)))),implies(X0,implies(X1,and(X2,not(X3))))),X4)) ),
inference(paramodulation,[status(thm)],[f1408,f1175]) ).
fof(f17537,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),X0)),X4)) ),
inference(paramodulation,[status(thm)],[f1408,f1176]) ).
fof(f17538,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X0),equiv(X0,implies(X1,and(X2,not(X3)))))))) ),
inference(paramodulation,[status(thm)],[f1408,f1210]) ).
fof(f17539,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),X0)))) ),
inference(paramodulation,[status(thm)],[f1408,f1146]) ).
fof(f17540,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,implies(X1,and(X2,not(X3)))),implies(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1408,f1171]) ).
fof(f17541,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ186_spl
| ~ is_a_theorem(not(implies(equiv(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),X0)))) ),
inference(paramodulation,[status(thm)],[f1408,f3061]) ).
fof(f17544,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(X1,and(X2,not(X3)))))
| ~ is_a_theorem(equiv(X0,implies(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f1408,f1170]) ).
fof(f17545,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X0),equiv(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1408,f442]) ).
fof(f17546,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f1408,f431]) ).
fof(f17547,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,implies(X1,and(X2,not(X3)))),implies(X0,implies(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f1408,f420]) ).
fof(f17549,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,and(X2,possibly(necessarily(not(X3)))))) = and(implies(X0,implies(X1,and(X2,possibly(necessarily(not(X3)))))),or(and(X1,implies(X2,necessarily(possibly(X3)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1114,f17521]) ).
fof(f17550,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,and(X2,possibly(and(X3,not(X4)))))) = and(implies(X0,implies(X1,and(X2,possibly(and(X3,not(X4)))))),or(and(X1,implies(X2,necessarily(implies(X3,X4)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1117,f17522]) ).
fof(f17553,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,and(X2,implies(X3,and(X4,not(X5)))))) = and(implies(X0,implies(X1,and(X2,implies(X3,and(X4,not(X5)))))),or(and(X1,implies(X2,and(X3,implies(X4,X5)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1115,f17524]) ).
fof(f17554,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,and(X2,implies(X3,necessarily(not(X4)))))) = and(implies(X0,implies(X1,and(X2,implies(X3,necessarily(not(X4)))))),or(and(X1,implies(X2,and(X3,possibly(X4)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1116,f17525]) ).
fof(f17573,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,necessarily(not(necessarily(possibly(X2)))))) = and(implies(X0,implies(X1,necessarily(possibly(necessarily(not(X2)))))),or(and(X1,possibly(necessarily(possibly(X2)))),X0)) ),
inference(paramodulation,[status(thm)],[f1114,f1407]) ).
fof(f17574,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,necessarily(not(necessarily(implies(X2,X3)))))) = and(implies(X0,implies(X1,necessarily(possibly(and(X2,not(X3)))))),or(and(X1,possibly(necessarily(implies(X2,X3)))),X0)) ),
inference(paramodulation,[status(thm)],[f1117,f1407]) ).
fof(f17576,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,necessarily(not(and(X2,implies(X3,X4)))))) = and(implies(X0,implies(X1,necessarily(implies(X2,and(X3,not(X4)))))),or(and(X1,possibly(and(X2,implies(X3,X4)))),X0)) ),
inference(paramodulation,[status(thm)],[f1115,f1407]) ).
fof(f17577,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,necessarily(not(and(X2,possibly(X3)))))) = and(implies(X0,implies(X1,necessarily(implies(X2,necessarily(not(X3)))))),or(and(X1,possibly(and(X2,possibly(X3)))),X0)) ),
inference(paramodulation,[status(thm)],[f1116,f1407]) ).
fof(f17580,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,implies(X2,necessarily(not(X3)))),implies(X1,implies(X2,necessarily(not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1407,f1344]) ).
fof(f17581,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,implies(X2,necessarily(not(X3)))),or(and(X2,possibly(X3)),X1)))) ),
inference(paramodulation,[status(thm)],[f1407,f1345]) ).
fof(f17582,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,implies(X1,necessarily(not(X2)))),implies(X0,implies(X1,necessarily(not(X2))))),X3)) ),
inference(paramodulation,[status(thm)],[f1407,f1175]) ).
fof(f17583,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,implies(X1,necessarily(not(X2)))),or(and(X1,possibly(X2)),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1407,f1176]) ).
fof(f17584,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,implies(X1,necessarily(not(X2)))),implies(or(and(X1,possibly(X2)),X0),equiv(X0,implies(X1,necessarily(not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1407,f1210]) ).
fof(f17585,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(X0,implies(X1,necessarily(not(X2)))),or(and(X1,possibly(X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1407,f1146]) ).
fof(f17586,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,implies(X1,necessarily(not(X2)))),implies(X0,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1407,f1171]) ).
fof(f17587,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ186_spl
| ~ is_a_theorem(not(implies(equiv(X0,implies(X1,necessarily(not(X2)))),or(and(X1,possibly(X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1407,f3061]) ).
fof(f17590,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(not(X2)))))
| ~ is_a_theorem(equiv(X0,implies(X1,necessarily(not(X2))))) ),
inference(paramodulation,[status(thm)],[f1407,f1170]) ).
fof(f17591,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,implies(X1,necessarily(not(X2)))),implies(or(and(X1,possibly(X2)),X0),equiv(X0,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1407,f442]) ).
fof(f17592,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,implies(X1,necessarily(not(X2)))),or(and(X1,possibly(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1407,f431]) ).
fof(f17593,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,implies(X1,necessarily(not(X2)))),implies(X0,implies(X1,necessarily(not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1407,f420]) ).
fof(f17595,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,necessarily(possibly(necessarily(not(X2)))))) = and(implies(X0,implies(X1,necessarily(possibly(necessarily(not(X2)))))),or(and(X1,possibly(necessarily(possibly(X2)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1114,f17573]) ).
fof(f17596,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,necessarily(possibly(and(X2,not(X3)))))) = and(implies(X0,implies(X1,necessarily(possibly(and(X2,not(X3)))))),or(and(X1,possibly(necessarily(implies(X2,X3)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1117,f17574]) ).
fof(f17599,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,necessarily(implies(X2,and(X3,not(X4)))))) = and(implies(X0,implies(X1,necessarily(implies(X2,and(X3,not(X4)))))),or(and(X1,possibly(and(X2,implies(X3,X4)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1115,f17576]) ).
fof(f17600,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,necessarily(implies(X2,necessarily(not(X3)))))) = and(implies(X0,implies(X1,necessarily(implies(X2,necessarily(not(X3)))))),or(and(X1,possibly(and(X2,possibly(X3)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1116,f17577]) ).
fof(f17641,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| or(necessarily(or(X0,and(X1,not(X2)))),X3) = implies(possibly(and(not(X0),implies(X1,X2))),X3) ),
inference(paramodulation,[status(thm)],[f1047,f1382]) ).
fof(f17642,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,and(X1,possibly(necessarily(not(X2)))))),X3) = implies(possibly(and(X0,implies(X1,necessarily(possibly(X2))))),X3) ),
inference(paramodulation,[status(thm)],[f1114,f1382]) ).
fof(f17643,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,and(X1,possibly(and(X2,not(X3)))))),X4) = implies(possibly(and(X0,implies(X1,necessarily(implies(X2,X3))))),X4) ),
inference(paramodulation,[status(thm)],[f1117,f1382]) ).
fof(f17644,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,and(X1,possibly(X2)))),X3) = implies(possibly(and(X0,implies(X1,necessarily(not(X2))))),X3) ),
inference(paramodulation,[status(thm)],[f943,f1382]) ).
fof(f17645,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,and(X1,implies(X2,and(X3,not(X4)))))),X5) = implies(possibly(and(X0,implies(X1,and(X2,implies(X3,X4))))),X5) ),
inference(paramodulation,[status(thm)],[f1115,f1382]) ).
fof(f17646,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,and(X1,implies(X2,necessarily(not(X3)))))),X4) = implies(possibly(and(X0,implies(X1,and(X2,possibly(X3))))),X4) ),
inference(paramodulation,[status(thm)],[f1116,f1382]) ).
fof(f17647,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,and(X1,implies(X2,X3)))),X4) = implies(possibly(and(X0,implies(X1,and(X2,not(X3))))),X4) ),
inference(paramodulation,[status(thm)],[f645,f1382]) ).
fof(f17650,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(and(and(X0,not(X1)),implies(X0,X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1382,f3177]) ).
fof(f17651,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1382,f1367]) ).
fof(f17654,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(and(X0,implies(X1,X2))),possibly(X3)),implies(necessarily(not(X3)),necessarily(implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1382,f1232]) ).
fof(f17664,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),implies(and(X3,X4),X3))) ),
inference(paramodulation,[status(thm)],[f1382,f1344]) ).
fof(f17665,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),implies(and(X3,X4),X4))) ),
inference(paramodulation,[status(thm)],[f1382,f1345]) ).
fof(f17666,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),implies(necessarily(X3),X3))) ),
inference(paramodulation,[status(thm)],[f1382,f1348]) ).
fof(f17668,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),implies(X3,or(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f1382,f1355]) ).
fof(f17669,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),implies(X3,or(X3,X4)))) ),
inference(paramodulation,[status(thm)],[f1382,f1356]) ).
fof(f17673,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(and(X0,implies(X1,X2))),implies(X3,X4)),implies(and(X3,not(X4)),necessarily(implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1382,f1231]) ).
fof(f17679,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(and(X0,implies(X1,X2))),not(not(X3))),or(X3,necessarily(implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1382,f1233]) ).
fof(f17682,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(necessarily(implies(X0,and(X1,not(X2)))),X3),implies(or(X4,X3),implies(implies(possibly(and(X0,implies(X1,X2))),not(X4)),X3)))) ),
inference(paramodulation,[status(thm)],[f1382,f1207]) ).
fof(f17686,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(implies(possibly(and(X0,implies(X1,X2))),not(X3)),implies(X3,necessarily(implies(X0,and(X1,not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1382,f1230]) ).
fof(f17687,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(possibly(and(X1,implies(X2,X3))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1382,f1166]) ).
fof(f17690,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(X3,necessarily(implies(X0,and(X1,not(X2))))))
| ~ is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),not(X3))) ),
inference(paramodulation,[status(thm)],[f1382,f1228]) ).
fof(f17693,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),not(necessarily(implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1382,f3034]) ).
fof(f17694,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(and(X0,implies(X1,X2))),not(X3)),implies(X3,necessarily(implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1382,f1044]) ).
fof(f17695,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(possibly(and(X2,implies(X3,X4))),X1)))) ),
inference(paramodulation,[status(thm)],[f1382,f1355]) ).
fof(f17696,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(necessarily(implies(X1,and(X2,not(X3)))),implies(possibly(and(X1,implies(X2,X3))),X4)))) ),
inference(paramodulation,[status(thm)],[f1382,f1356]) ).
fof(f17697,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(possibly(and(X1,implies(X2,X3))),X0)),X4)) ),
inference(paramodulation,[status(thm)],[f1382,f1182]) ).
fof(f17698,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(necessarily(implies(X0,and(X1,not(X2)))),implies(possibly(and(X0,implies(X1,X2))),X3)),X4)) ),
inference(paramodulation,[status(thm)],[f1382,f1183]) ).
fof(f17712,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(necessarily(implies(X0,and(X1,not(X2)))),implies(possibly(and(X0,implies(X1,X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1382,f1143]) ).
fof(f17713,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(possibly(and(X1,implies(X2,X3))),X0)))) ),
inference(paramodulation,[status(thm)],[f1382,f1165]) ).
fof(f17714,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(necessarily(implies(X0,and(X1,not(X2)))),X3),implies(implies(X4,X3),implies(implies(possibly(and(X0,implies(X1,X2))),X4),X3))))) ),
inference(paramodulation,[status(thm)],[f1382,f1205]) ).
fof(f17715,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(implies(necessarily(implies(X0,and(X1,not(X2)))),implies(possibly(and(X0,implies(X1,X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1382,f3074]) ).
fof(f17718,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(implies(necessarily(implies(X0,and(X1,not(X2)))),implies(possibly(and(X0,implies(X1,X2))),X3))) ),
inference(paramodulation,[status(thm)],[f1382,f453]) ).
fof(f17719,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(and(X1,implies(X2,X3))),X0))) ),
inference(paramodulation,[status(thm)],[f1382,f464]) ).
fof(f17720,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(necessarily(implies(X0,and(X1,not(X2)))),X3),implies(implies(X4,X3),implies(implies(possibly(and(X0,implies(X1,X2))),X4),X3)))) ),
inference(paramodulation,[status(thm)],[f1382,f475]) ).
fof(f17768,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),possibly(and(X0,not(and(X1,not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f17693]) ).
fof(f17769,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),possibly(and(X0,implies(X1,X2))))) ),
inference(forward_demodulation,[status(thm)],[f645,f17768]) ).
fof(f17936,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| or(necessarily(or(X0,necessarily(not(X1)))),X2) = implies(possibly(and(not(X0),possibly(X1))),X2) ),
inference(paramodulation,[status(thm)],[f1047,f1381]) ).
fof(f17937,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,necessarily(possibly(necessarily(not(X1)))))),X2) = implies(possibly(and(X0,possibly(necessarily(possibly(X1))))),X2) ),
inference(paramodulation,[status(thm)],[f1114,f1381]) ).
fof(f17938,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,necessarily(possibly(and(X1,not(X2)))))),X3) = implies(possibly(and(X0,possibly(necessarily(implies(X1,X2))))),X3) ),
inference(paramodulation,[status(thm)],[f1117,f1381]) ).
fof(f17939,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,necessarily(possibly(X1)))),X2) = implies(possibly(and(X0,possibly(necessarily(not(X1))))),X2) ),
inference(paramodulation,[status(thm)],[f943,f1381]) ).
fof(f17940,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,necessarily(implies(X1,and(X2,not(X3)))))),X4) = implies(possibly(and(X0,possibly(and(X1,implies(X2,X3))))),X4) ),
inference(paramodulation,[status(thm)],[f1115,f1381]) ).
fof(f17941,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,necessarily(implies(X1,necessarily(not(X2)))))),X3) = implies(possibly(and(X0,possibly(and(X1,possibly(X2))))),X3) ),
inference(paramodulation,[status(thm)],[f1116,f1381]) ).
fof(f17942,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(implies(X0,necessarily(implies(X1,X2)))),X3) = implies(possibly(and(X0,possibly(and(X1,not(X2))))),X3) ),
inference(paramodulation,[status(thm)],[f645,f1381]) ).
fof(f17945,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(and(necessarily(not(X0)),possibly(X0))),X1)) ),
inference(paramodulation,[status(thm)],[f1381,f3177]) ).
fof(f17946,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1381,f1367]) ).
fof(f17949,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(and(X0,possibly(X1))),possibly(X2)),implies(necessarily(not(X2)),necessarily(implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1381,f1232]) ).
fof(f17959,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1381,f1344]) ).
fof(f17960,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1381,f1345]) ).
fof(f17961,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1381,f1348]) ).
fof(f17963,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),implies(X2,or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f1381,f1355]) ).
fof(f17964,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1381,f1356]) ).
fof(f17968,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(and(X0,possibly(X1))),implies(X2,X3)),implies(and(X2,not(X3)),necessarily(implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1381,f1231]) ).
fof(f17974,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(and(X0,possibly(X1))),not(not(X2))),or(X2,necessarily(implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1381,f1233]) ).
fof(f17978,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(necessarily(implies(X0,necessarily(not(X1)))),X2),implies(or(X3,X2),implies(implies(possibly(and(X0,possibly(X1))),not(X3)),X2)))) ),
inference(paramodulation,[status(thm)],[f1381,f1207]) ).
fof(f17982,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(implies(possibly(and(X0,possibly(X1))),not(X2)),implies(X2,necessarily(implies(X0,necessarily(not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1381,f1230]) ).
fof(f17983,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(possibly(and(X1,possibly(X2))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1381,f1166]) ).
fof(f17986,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(X2,necessarily(implies(X0,necessarily(not(X1))))))
| ~ is_a_theorem(implies(possibly(and(X0,possibly(X1))),not(X2))) ),
inference(paramodulation,[status(thm)],[f1381,f1228]) ).
fof(f17989,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),not(necessarily(implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1381,f3034]) ).
fof(f17990,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(and(X0,possibly(X1))),not(X2)),implies(X2,necessarily(implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1381,f1044]) ).
fof(f17991,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(possibly(and(X2,possibly(X3))),X1)))) ),
inference(paramodulation,[status(thm)],[f1381,f1355]) ).
fof(f17992,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(necessarily(implies(X1,necessarily(not(X2)))),implies(possibly(and(X1,possibly(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1381,f1356]) ).
fof(f17993,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(possibly(and(X1,possibly(X2))),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1381,f1182]) ).
fof(f17994,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(necessarily(implies(X0,necessarily(not(X1)))),implies(possibly(and(X0,possibly(X1))),X2)),X3)) ),
inference(paramodulation,[status(thm)],[f1381,f1183]) ).
fof(f18008,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(necessarily(implies(X0,necessarily(not(X1)))),implies(possibly(and(X0,possibly(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1381,f1143]) ).
fof(f18009,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(possibly(and(X1,possibly(X2))),X0)))) ),
inference(paramodulation,[status(thm)],[f1381,f1165]) ).
fof(f18010,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(necessarily(implies(X0,necessarily(not(X1)))),X2),implies(implies(X3,X2),implies(implies(possibly(and(X0,possibly(X1))),X3),X2))))) ),
inference(paramodulation,[status(thm)],[f1381,f1205]) ).
fof(f18011,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(implies(necessarily(implies(X0,necessarily(not(X1)))),implies(possibly(and(X0,possibly(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1381,f3074]) ).
fof(f18014,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(implies(necessarily(implies(X0,necessarily(not(X1)))),implies(possibly(and(X0,possibly(X1))),X2))) ),
inference(paramodulation,[status(thm)],[f1381,f453]) ).
fof(f18015,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(and(X1,possibly(X2))),X0))) ),
inference(paramodulation,[status(thm)],[f1381,f464]) ).
fof(f18016,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(necessarily(implies(X0,necessarily(not(X1)))),X2),implies(implies(X3,X2),implies(implies(possibly(and(X0,possibly(X1))),X3),X2)))) ),
inference(paramodulation,[status(thm)],[f1381,f475]) ).
fof(f18066,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),possibly(and(X0,not(necessarily(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f17989]) ).
fof(f18067,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),possibly(and(X0,possibly(X1))))) ),
inference(forward_demodulation,[status(thm)],[f943,f18066]) ).
fof(f18113,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1317,f1264]) ).
fof(f18114,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(and(X0,not(X1))),possibly(and(X2,not(X3)))) = and(or(necessarily(implies(X0,X1)),possibly(and(X2,not(X3)))),or(necessarily(implies(X2,X3)),possibly(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1317,f1411]) ).
fof(f18116,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(and(X0,not(X1))),possibly(necessarily(not(X2)))) = and(or(necessarily(implies(X0,X1)),possibly(necessarily(not(X2)))),or(necessarily(possibly(X2)),possibly(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1317,f1412]) ).
fof(f18117,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(necessarily(not(X0))),possibly(and(X1,not(X2)))) = and(or(necessarily(possibly(X0)),possibly(and(X1,not(X2)))),or(necessarily(implies(X1,X2)),possibly(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1317,f1442]) ).
fof(f18118,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),possibly(equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f4820]) ).
fof(f18119,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),possibly(implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f4858]) ).
fof(f18120,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(necessarily(implies(X0,X1)),equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f4574]) ).
fof(f18121,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),equiv(X2,X2))) ),
inference(paramodulation,[status(thm)],[f1317,f3295]) ).
fof(f18122,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),or(X2,and(possibly(and(X0,not(X1))),not(X2))))) ),
inference(paramodulation,[status(thm)],[f1317,f1212]) ).
fof(f18123,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),or(X2,not(X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f3188]) ).
fof(f18124,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,or(necessarily(implies(X1,X2)),or(X3,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1317,f1355]) ).
fof(f18125,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(necessarily(implies(X1,X2)),or(possibly(and(X1,not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1317,f1356]) ).
fof(f18126,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(necessarily(implies(X0,X1)),or(X2,possibly(and(X0,not(X1))))),X3)) ),
inference(paramodulation,[status(thm)],[f1317,f1182]) ).
fof(f18127,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(or(necessarily(implies(X0,X1)),or(possibly(and(X0,not(X1))),X2)),X3)) ),
inference(paramodulation,[status(thm)],[f1317,f1183]) ).
fof(f18128,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(necessarily(implies(X0,X1)),or(possibly(and(X0,not(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f1143]) ).
fof(f18129,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(necessarily(implies(X0,X1)),or(X2,possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1317,f1165]) ).
fof(f18130,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(or(necessarily(implies(X0,X1)),or(possibly(and(X0,not(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f3074]) ).
fof(f18131,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ188_spl
| ~ is_a_theorem(not(or(necessarily(implies(X0,X1)),or(X2,possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1317,f3070]) ).
fof(f18134,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,or(necessarily(implies(X1,X2)),and(not(X0),possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1317,f1211]) ).
fof(f18138,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(or(necessarily(implies(X0,X1)),and(possibly(and(X0,not(X1))),possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1317,f3020]) ).
fof(f18139,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(X0,or(necessarily(implies(X1,X2)),and(X0,possibly(and(X1,not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1317,f1210]) ).
fof(f18145,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),necessarily(equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f3304]) ).
fof(f18146,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),necessarily(implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f3179]) ).
fof(f18147,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(or(necessarily(implies(X0,X1)),necessarily(possibly(possibly(and(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1317,f1153]) ).
fof(f18149,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1317,f1248]) ).
fof(f18150,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(and(X0,not(X1))),implies(X2,necessarily(not(X3)))) = and(or(necessarily(implies(X0,X1)),implies(X2,necessarily(not(X3)))),or(and(X2,possibly(X3)),possibly(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1317,f1407]) ).
fof(f18151,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,necessarily(not(X1))),possibly(and(X2,not(X3)))) = and(or(and(X0,possibly(X1)),possibly(and(X2,not(X3)))),or(necessarily(implies(X2,X3)),implies(X0,necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1317,f1437]) ).
fof(f18152,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(possibly(and(X0,not(X1))),implies(X2,and(X3,not(X4)))) = and(or(necessarily(implies(X0,X1)),implies(X2,and(X3,not(X4)))),or(and(X2,implies(X3,X4)),possibly(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1317,f1408]) ).
fof(f18153,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,not(X2))),possibly(and(X3,not(X4)))) = and(or(and(X0,implies(X1,X2)),possibly(and(X3,not(X4)))),or(necessarily(implies(X3,X4)),implies(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1317,f1438]) ).
fof(f18154,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(or(necessarily(implies(X0,X1)),implies(X2,and(possibly(and(X0,not(X1))),X2))))) ),
inference(paramodulation,[status(thm)],[f1317,f1210]) ).
fof(f18156,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(necessarily(implies(X1,X2)),implies(X3,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1317,f1354]) ).
fof(f18157,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(necessarily(implies(X0,X1)),implies(X2,possibly(and(X0,not(X1))))),X3)) ),
inference(paramodulation,[status(thm)],[f1317,f1181]) ).
fof(f18158,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(necessarily(implies(X0,X1)),implies(X2,possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1317,f1149]) ).
fof(f18159,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(necessarily(implies(X0,X1)),implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f3443]) ).
fof(f18161,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ187_spl
| ~ is_a_theorem(not(or(necessarily(implies(X0,X1)),implies(X2,possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1317,f3066]) ).
fof(f18163,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),implies(X2,X2))) ),
inference(paramodulation,[status(thm)],[f1317,f3032]) ).
fof(f18166,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(necessarily(implies(X0,X1)),not(X2)),implies(or(X2,possibly(and(X0,not(X1)))),equiv(possibly(and(X0,not(X1))),not(X2))))) ),
inference(paramodulation,[status(thm)],[f1317,f1163]) ).
fof(f18168,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,possibly(and(X1,not(X2)))),implies(or(necessarily(implies(X1,X2)),not(X0)),equiv(not(X0),possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1317,f1162]) ).
fof(f18169,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(necessarily(implies(X1,X2)),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1317,f1150]) ).
fof(f18172,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1317,f3176]) ).
fof(f18176,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(necessarily(implies(X1,X2)),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1317,f1181]) ).
fof(f18179,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(X0,or(necessarily(implies(X1,X2)),possibly(and(X1,not(X2))))),X3)) ),
inference(paramodulation,[status(thm)],[f1317,f3424]) ).
fof(f18180,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(necessarily(implies(X0,X1)),X2),implies(or(X3,X2),implies(or(possibly(and(X0,not(X1))),not(X3)),X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f1207]) ).
fof(f18181,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))),X2),X3)) ),
inference(paramodulation,[status(thm)],[f1317,f3311]) ).
fof(f18183,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(necessarily(implies(X2,X3)),X1),implies(or(not(X0),possibly(and(X2,not(X3)))),X1)))) ),
inference(paramodulation,[status(thm)],[f1317,f1206]) ).
fof(f18184,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,possibly(and(X1,not(X2)))),implies(or(necessarily(implies(X1,X2)),X3),or(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f1317,f1287]) ).
fof(f18185,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(or(necessarily(implies(X1,X2)),possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1317,f3179]) ).
fof(f18186,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,possibly(or(necessarily(implies(X1,X2)),possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1317,f4858]) ).
fof(f18187,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,or(necessarily(implies(X1,X2)),X3)),implies(and(possibly(and(X1,not(X2))),not(X3)),X0))) ),
inference(paramodulation,[status(thm)],[f1317,f1231]) ).
fof(f18188,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(necessarily(implies(X1,X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1317,f1149]) ).
fof(f18189,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(X0,or(necessarily(implies(X1,X2)),possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1317,f3443]) ).
fof(f18190,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(necessarily(implies(necessarily(or(necessarily(implies(X0,X1)),X2)),implies(necessarily(possibly(and(X0,not(X1)))),necessarily(X2))))) ),
inference(paramodulation,[status(thm)],[f1317,f1158]) ).
fof(f18191,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(X0,or(necessarily(implies(X1,X2)),possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1317,f3427]) ).
fof(f18192,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(X0,possibly(and(X1,not(X2)))),implies(or(necessarily(implies(X1,X2)),X0),equiv(X0,possibly(and(X1,not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1317,f1161]) ).
fof(f18193,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(or(necessarily(implies(X0,X1)),X2),implies(implies(X2,possibly(and(X0,not(X1)))),equiv(possibly(and(X0,not(X1))),X2))))) ),
inference(paramodulation,[status(thm)],[f1317,f1161]) ).
fof(f18195,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,possibly(and(X1,not(X2)))),implies(or(necessarily(implies(X1,X2)),X3),implies(X0,X3))))) ),
inference(paramodulation,[status(thm)],[f1317,f1283]) ).
fof(f18197,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(or(necessarily(implies(X2,X3)),X1),implies(or(X0,possibly(and(X2,not(X3)))),X1))))) ),
inference(paramodulation,[status(thm)],[f1317,f1205]) ).
fof(f18198,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(or(necessarily(implies(X0,X1)),X2),implies(implies(X3,X2),implies(or(possibly(and(X0,not(X1))),X3),X2))))) ),
inference(paramodulation,[status(thm)],[f1317,f1205]) ).
fof(f18201,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(X0,possibly(and(X1,not(X2)))),or(necessarily(implies(X1,X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1317,f1168]) ).
fof(f18202,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))),X2))) ),
inference(paramodulation,[status(thm)],[f1317,f3314]) ).
fof(f18203,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(possibly(and(X0,not(X1))),X2),or(necessarily(implies(X0,X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f1201]) ).
fof(f18204,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(or(X0,not(possibly(and(X1,not(X2))))),or(necessarily(implies(X1,X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1317,f1230]) ).
fof(f18205,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(or(necessarily(implies(X1,X2)),possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1317,f3178]) ).
fof(f18206,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,possibly(or(necessarily(implies(X1,X2)),possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1317,f4859]) ).
fof(f18207,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1))))),X2)) ),
inference(paramodulation,[status(thm)],[f1317,f3177]) ).
fof(f18208,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(possibly(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1))))),X2)) ),
inference(paramodulation,[status(thm)],[f1317,f4860]) ).
fof(f18209,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ204_spl
| ~ is_a_theorem(not(or(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))),X2))) ),
inference(paramodulation,[status(thm)],[f1317,f11820]) ).
fof(f18211,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ206_spl
| ~ is_a_theorem(not(or(X0,or(necessarily(implies(X1,X2)),possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1317,f12932]) ).
fof(f18212,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1317,f3180]) ).
fof(f18215,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(necessarily(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1317,f11128]) ).
fof(f18216,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(possibly(and(X0,not(X1)))),necessarily(X2)))
| ~ is_a_theorem(necessarily(or(necessarily(implies(X0,X1)),X2))) ),
inference(paramodulation,[status(thm)],[f1317,f1157]) ).
fof(f18218,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X3,X2),implies(or(possibly(and(X0,not(X1))),X3),X2)))
| ~ is_a_theorem(or(necessarily(implies(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1317,f1203]) ).
fof(f18219,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X2,possibly(and(X0,not(X1)))),equiv(possibly(and(X0,not(X1))),X2)))
| ~ is_a_theorem(or(necessarily(implies(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1317,f1160]) ).
fof(f18227,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ191_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1317,f3447]) ).
fof(f18228,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(necessarily(implies(X1,X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1317,f387]) ).
fof(f18242,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| is_a_theorem(X2)
| ~ is_a_theorem(or(necessarily(implies(X0,X1)),X2))
| ~ is_a_theorem(possibly(and(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1317,f342]) ).
fof(f18244,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| implies(X0,and(possibly(and(X1,not(X2))),not(X3))) = not(and(X0,or(necessarily(implies(X1,X2)),X3))) ),
inference(paramodulation,[status(thm)],[f1317,f1115]) ).
fof(f18285,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| or(necessarily(possibly(necessarily(possibly(necessarily(not(X0)))))),X1) = implies(possibly(necessarily(possibly(necessarily(possibly(X0))))),X1) ),
inference(paramodulation,[status(thm)],[f1114,f1385]) ).
fof(f18286,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(possibly(necessarily(possibly(and(X0,not(X1)))))),X2) = implies(possibly(necessarily(possibly(necessarily(implies(X0,X1))))),X2) ),
inference(paramodulation,[status(thm)],[f1117,f1385]) ).
fof(f18287,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| or(necessarily(possibly(necessarily(possibly(X0)))),X1) = implies(possibly(necessarily(possibly(necessarily(not(X0))))),X1) ),
inference(paramodulation,[status(thm)],[f943,f1385]) ).
fof(f18288,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(possibly(necessarily(implies(X0,and(X1,not(X2)))))),X3) = implies(possibly(necessarily(possibly(and(X0,implies(X1,X2))))),X3) ),
inference(paramodulation,[status(thm)],[f1115,f1385]) ).
fof(f18289,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(necessarily(possibly(necessarily(implies(X0,necessarily(not(X1)))))),X2) = implies(possibly(necessarily(possibly(and(X0,possibly(X1))))),X2) ),
inference(paramodulation,[status(thm)],[f1116,f1385]) ).
fof(f18290,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(possibly(necessarily(implies(X0,X1)))),X2) = implies(possibly(necessarily(possibly(and(X0,not(X1))))),X2) ),
inference(paramodulation,[status(thm)],[f645,f1385]) ).
fof(f18293,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1385,f1367]) ).
fof(f18296,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(necessarily(possibly(X0))),possibly(X1)),implies(necessarily(not(X1)),necessarily(possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1385,f1232]) ).
fof(f18306,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1385,f1344]) ).
fof(f18307,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1385,f1345]) ).
fof(f18308,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1385,f1348]) ).
fof(f18310,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),implies(X1,or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1385,f1355]) ).
fof(f18311,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1385,f1356]) ).
fof(f18315,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(necessarily(possibly(X0))),implies(X1,X2)),implies(and(X1,not(X2)),necessarily(possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1385,f1231]) ).
fof(f18321,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(necessarily(possibly(X0))),not(not(X1))),or(X1,necessarily(possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1385,f1233]) ).
fof(f18325,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(necessarily(possibly(necessarily(not(X0)))),X1),implies(or(X2,X1),implies(implies(possibly(necessarily(possibly(X0))),not(X2)),X1)))) ),
inference(paramodulation,[status(thm)],[f1385,f1207]) ).
fof(f18329,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(implies(possibly(necessarily(possibly(X0))),not(X1)),implies(X1,necessarily(possibly(necessarily(not(X0)))))))) ),
inference(paramodulation,[status(thm)],[f1385,f1230]) ).
fof(f18330,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(possibly(necessarily(possibly(X1))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1385,f1166]) ).
fof(f18333,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(X1,necessarily(possibly(necessarily(not(X0))))))
| ~ is_a_theorem(implies(possibly(necessarily(possibly(X0))),not(X1))) ),
inference(paramodulation,[status(thm)],[f1385,f1228]) ).
fof(f18336,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),not(necessarily(possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1385,f3034]) ).
fof(f18337,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(necessarily(possibly(X0))),not(X1)),implies(X1,necessarily(possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1385,f1044]) ).
fof(f18338,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(possibly(necessarily(possibly(X2))),X1)))) ),
inference(paramodulation,[status(thm)],[f1385,f1355]) ).
fof(f18339,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(necessarily(possibly(necessarily(not(X1)))),implies(possibly(necessarily(possibly(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1385,f1356]) ).
fof(f18340,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(possibly(necessarily(possibly(X1))),X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1385,f1182]) ).
fof(f18341,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(necessarily(possibly(necessarily(not(X0)))),implies(possibly(necessarily(possibly(X0))),X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1385,f1183]) ).
fof(f18355,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(necessarily(possibly(necessarily(not(X0)))),implies(possibly(necessarily(possibly(X0))),X1)))) ),
inference(paramodulation,[status(thm)],[f1385,f1143]) ).
fof(f18356,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(possibly(necessarily(possibly(X1))),X0)))) ),
inference(paramodulation,[status(thm)],[f1385,f1165]) ).
fof(f18357,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(necessarily(possibly(necessarily(not(X0)))),X1),implies(implies(X2,X1),implies(implies(possibly(necessarily(possibly(X0))),X2),X1))))) ),
inference(paramodulation,[status(thm)],[f1385,f1205]) ).
fof(f18358,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(implies(necessarily(possibly(necessarily(not(X0)))),implies(possibly(necessarily(possibly(X0))),X1)))) ),
inference(paramodulation,[status(thm)],[f1385,f3074]) ).
fof(f18361,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(implies(necessarily(possibly(necessarily(not(X0)))),implies(possibly(necessarily(possibly(X0))),X1))) ),
inference(paramodulation,[status(thm)],[f1385,f453]) ).
fof(f18362,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(necessarily(possibly(X1))),X0))) ),
inference(paramodulation,[status(thm)],[f1385,f464]) ).
fof(f18363,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(necessarily(possibly(necessarily(not(X0)))),X1),implies(implies(X2,X1),implies(implies(possibly(necessarily(possibly(X0))),X2),X1)))) ),
inference(paramodulation,[status(thm)],[f1385,f475]) ).
fof(f18413,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),possibly(necessarily(not(necessarily(not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f18336]) ).
fof(f18414,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),possibly(necessarily(possibly(X0))))) ),
inference(forward_demodulation,[status(thm)],[f943,f18413]) ).
fof(f18454,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(necessarily(possibly(and(X0,possibly(necessarily(not(X1)))))),X2) = implies(possibly(necessarily(implies(X0,necessarily(possibly(X1))))),X2) ),
inference(paramodulation,[status(thm)],[f1114,f1384]) ).
fof(f18455,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(possibly(and(X0,possibly(and(X1,not(X2)))))),X3) = implies(possibly(necessarily(implies(X0,necessarily(implies(X1,X2))))),X3) ),
inference(paramodulation,[status(thm)],[f1117,f1384]) ).
fof(f18456,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(necessarily(possibly(and(X0,possibly(X1)))),X2) = implies(possibly(necessarily(implies(X0,necessarily(not(X1))))),X2) ),
inference(paramodulation,[status(thm)],[f943,f1384]) ).
fof(f18457,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(possibly(and(X0,implies(X1,and(X2,not(X3)))))),X4) = implies(possibly(necessarily(implies(X0,and(X1,implies(X2,X3))))),X4) ),
inference(paramodulation,[status(thm)],[f1115,f1384]) ).
fof(f18458,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(necessarily(possibly(and(X0,implies(X1,necessarily(not(X2)))))),X3) = implies(possibly(necessarily(implies(X0,and(X1,possibly(X2))))),X3) ),
inference(paramodulation,[status(thm)],[f1116,f1384]) ).
fof(f18459,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(necessarily(possibly(and(X0,implies(X1,X2)))),X3) = implies(possibly(necessarily(implies(X0,and(X1,not(X2))))),X3) ),
inference(paramodulation,[status(thm)],[f645,f1384]) ).
fof(f18462,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1384,f1367]) ).
fof(f18465,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(necessarily(implies(X0,X1))),possibly(X2)),implies(necessarily(not(X2)),necessarily(possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1384,f1232]) ).
fof(f18475,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1384,f1344]) ).
fof(f18476,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1384,f1345]) ).
fof(f18477,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1384,f1348]) ).
fof(f18479,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),implies(X2,or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f1384,f1355]) ).
fof(f18480,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1384,f1356]) ).
fof(f18484,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(necessarily(implies(X0,X1))),implies(X2,X3)),implies(and(X2,not(X3)),necessarily(possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1384,f1231]) ).
fof(f18490,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(necessarily(implies(X0,X1))),not(not(X2))),or(X2,necessarily(possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1384,f1233]) ).
fof(f18494,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(necessarily(possibly(and(X0,not(X1)))),X2),implies(or(X3,X2),implies(implies(possibly(necessarily(implies(X0,X1))),not(X3)),X2)))) ),
inference(paramodulation,[status(thm)],[f1384,f1207]) ).
fof(f18498,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(implies(possibly(necessarily(implies(X0,X1))),not(X2)),implies(X2,necessarily(possibly(and(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1384,f1230]) ).
fof(f18499,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(possibly(necessarily(implies(X1,X2))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1384,f1166]) ).
fof(f18502,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(X2,necessarily(possibly(and(X0,not(X1))))))
| ~ is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),not(X2))) ),
inference(paramodulation,[status(thm)],[f1384,f1228]) ).
fof(f18505,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),not(necessarily(possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1384,f3034]) ).
fof(f18506,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(possibly(necessarily(implies(X0,X1))),not(X2)),implies(X2,necessarily(possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1384,f1044]) ).
fof(f18507,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(possibly(necessarily(implies(X2,X3))),X1)))) ),
inference(paramodulation,[status(thm)],[f1384,f1355]) ).
fof(f18508,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(necessarily(possibly(and(X1,not(X2)))),implies(possibly(necessarily(implies(X1,X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1384,f1356]) ).
fof(f18509,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(possibly(necessarily(implies(X1,X2))),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1384,f1182]) ).
fof(f18510,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(necessarily(possibly(and(X0,not(X1)))),implies(possibly(necessarily(implies(X0,X1))),X2)),X3)) ),
inference(paramodulation,[status(thm)],[f1384,f1183]) ).
fof(f18524,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(necessarily(possibly(and(X0,not(X1)))),implies(possibly(necessarily(implies(X0,X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1384,f1143]) ).
fof(f18525,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(possibly(necessarily(implies(X1,X2))),X0)))) ),
inference(paramodulation,[status(thm)],[f1384,f1165]) ).
fof(f18526,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(necessarily(possibly(and(X0,not(X1)))),X2),implies(implies(X3,X2),implies(implies(possibly(necessarily(implies(X0,X1))),X3),X2))))) ),
inference(paramodulation,[status(thm)],[f1384,f1205]) ).
fof(f18527,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(implies(necessarily(possibly(and(X0,not(X1)))),implies(possibly(necessarily(implies(X0,X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1384,f3074]) ).
fof(f18530,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(implies(necessarily(possibly(and(X0,not(X1)))),implies(possibly(necessarily(implies(X0,X1))),X2))) ),
inference(paramodulation,[status(thm)],[f1384,f453]) ).
fof(f18531,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(necessarily(implies(X1,X2))),X0))) ),
inference(paramodulation,[status(thm)],[f1384,f464]) ).
fof(f18532,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(necessarily(possibly(and(X0,not(X1)))),X2),implies(implies(X3,X2),implies(implies(possibly(necessarily(implies(X0,X1))),X3),X2)))) ),
inference(paramodulation,[status(thm)],[f1384,f475]) ).
fof(f18583,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),possibly(necessarily(not(and(X0,not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f18505]) ).
fof(f18584,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),possibly(necessarily(implies(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f645,f18583]) ).
fof(f18657,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(possibly(X0)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1290,f1264]) ).
fof(f18660,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(possibly(necessarily(not(X0))),possibly(necessarily(not(X1)))) = and(or(necessarily(possibly(X0)),possibly(necessarily(not(X1)))),or(necessarily(possibly(X1)),possibly(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1290,f1412]) ).
fof(f18662,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(possibly(X0)),possibly(equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f4820]) ).
fof(f18663,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(possibly(X0)),possibly(implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f4858]) ).
fof(f18664,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(necessarily(possibly(X0)),equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f4574]) ).
fof(f18665,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(possibly(X0)),equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1290,f3295]) ).
fof(f18666,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(necessarily(possibly(X0)),or(X1,and(possibly(necessarily(not(X0))),not(X1))))) ),
inference(paramodulation,[status(thm)],[f1290,f1212]) ).
fof(f18667,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(possibly(X0)),or(X1,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f3188]) ).
fof(f18668,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,or(necessarily(possibly(X1)),or(X2,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1290,f1355]) ).
fof(f18669,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(necessarily(possibly(X1)),or(possibly(necessarily(not(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1290,f1356]) ).
fof(f18670,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(necessarily(possibly(X0)),or(X1,possibly(necessarily(not(X0))))),X2)) ),
inference(paramodulation,[status(thm)],[f1290,f1182]) ).
fof(f18671,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(or(necessarily(possibly(X0)),or(possibly(necessarily(not(X0))),X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1290,f1183]) ).
fof(f18672,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(necessarily(possibly(X0)),or(possibly(necessarily(not(X0))),X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f1143]) ).
fof(f18673,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(necessarily(possibly(X0)),or(X1,possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1290,f1165]) ).
fof(f18674,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(or(necessarily(possibly(X0)),or(possibly(necessarily(not(X0))),X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f3074]) ).
fof(f18675,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ188_spl
| ~ is_a_theorem(not(or(necessarily(possibly(X0)),or(X1,possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1290,f3070]) ).
fof(f18678,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,or(necessarily(possibly(X1)),and(not(X0),possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1290,f1211]) ).
fof(f18682,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(or(necessarily(possibly(X0)),and(possibly(necessarily(not(X0))),possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1290,f3020]) ).
fof(f18683,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(X0,or(necessarily(possibly(X1)),and(X0,possibly(necessarily(not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1290,f1210]) ).
fof(f18689,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(possibly(X0)),necessarily(equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f3304]) ).
fof(f18690,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(possibly(X0)),necessarily(implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f3179]) ).
fof(f18691,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(or(necessarily(possibly(X0)),necessarily(possibly(possibly(necessarily(not(X0)))))))) ),
inference(paramodulation,[status(thm)],[f1290,f1153]) ).
fof(f18693,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(possibly(X0)),implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1290,f1248]) ).
fof(f18694,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(possibly(necessarily(not(X0))),implies(X1,necessarily(not(X2)))) = and(or(necessarily(possibly(X0)),implies(X1,necessarily(not(X2)))),or(and(X1,possibly(X2)),possibly(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1290,f1407]) ).
fof(f18695,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(implies(X0,necessarily(not(X1))),possibly(necessarily(not(X2)))) = and(or(and(X0,possibly(X1)),possibly(necessarily(not(X2)))),or(necessarily(possibly(X2)),implies(X0,necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1290,f1437]) ).
fof(f18696,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(possibly(necessarily(not(X0))),implies(X1,and(X2,not(X3)))) = and(or(necessarily(possibly(X0)),implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),possibly(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1290,f1408]) ).
fof(f18697,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,not(X2))),possibly(necessarily(not(X3)))) = and(or(and(X0,implies(X1,X2)),possibly(necessarily(not(X3)))),or(necessarily(possibly(X3)),implies(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1290,f1438]) ).
fof(f18698,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(or(necessarily(possibly(X0)),implies(X1,and(possibly(necessarily(not(X0))),X1))))) ),
inference(paramodulation,[status(thm)],[f1290,f1210]) ).
fof(f18700,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(necessarily(possibly(X1)),implies(X2,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1290,f1354]) ).
fof(f18701,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(necessarily(possibly(X0)),implies(X1,possibly(necessarily(not(X0))))),X2)) ),
inference(paramodulation,[status(thm)],[f1290,f1181]) ).
fof(f18702,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(necessarily(possibly(X0)),implies(X1,possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1290,f1149]) ).
fof(f18703,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(necessarily(possibly(X0)),implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f3443]) ).
fof(f18705,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ187_spl
| ~ is_a_theorem(not(or(necessarily(possibly(X0)),implies(X1,possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1290,f3066]) ).
fof(f18707,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(possibly(X0)),implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1290,f3032]) ).
fof(f18710,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(necessarily(possibly(X0)),not(X1)),implies(or(X1,possibly(necessarily(not(X0)))),equiv(possibly(necessarily(not(X0))),not(X1))))) ),
inference(paramodulation,[status(thm)],[f1290,f1163]) ).
fof(f18712,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,possibly(necessarily(not(X1)))),implies(or(necessarily(possibly(X1)),not(X0)),equiv(not(X0),possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1290,f1162]) ).
fof(f18713,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(necessarily(possibly(X1)),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1290,f1150]) ).
fof(f18716,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(or(necessarily(possibly(X0)),possibly(necessarily(not(X0)))))))) ),
inference(paramodulation,[status(thm)],[f1290,f3176]) ).
fof(f18720,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(necessarily(possibly(X1)),X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1290,f1181]) ).
fof(f18723,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(X0,or(necessarily(possibly(X1)),possibly(necessarily(not(X1))))),X2)) ),
inference(paramodulation,[status(thm)],[f1290,f3424]) ).
fof(f18724,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(necessarily(possibly(X0)),X1),implies(or(X2,X1),implies(or(possibly(necessarily(not(X0))),not(X2)),X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f1207]) ).
fof(f18725,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(or(necessarily(possibly(X0)),possibly(necessarily(not(X0)))),X1),X2)) ),
inference(paramodulation,[status(thm)],[f1290,f3311]) ).
fof(f18727,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(necessarily(possibly(X2)),X1),implies(or(not(X0),possibly(necessarily(not(X2)))),X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f1206]) ).
fof(f18728,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,possibly(necessarily(not(X1)))),implies(or(necessarily(possibly(X1)),X2),or(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f1290,f1287]) ).
fof(f18729,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(or(necessarily(possibly(X1)),possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1290,f3179]) ).
fof(f18730,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,possibly(or(necessarily(possibly(X1)),possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1290,f4858]) ).
fof(f18731,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,or(necessarily(possibly(X1)),X2)),implies(and(possibly(necessarily(not(X1))),not(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1290,f1231]) ).
fof(f18732,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(necessarily(possibly(X1)),X0)))) ),
inference(paramodulation,[status(thm)],[f1290,f1149]) ).
fof(f18733,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(X0,or(necessarily(possibly(X1)),possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1290,f3443]) ).
fof(f18734,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(necessarily(implies(necessarily(or(necessarily(possibly(X0)),X1)),implies(necessarily(possibly(necessarily(not(X0)))),necessarily(X1))))) ),
inference(paramodulation,[status(thm)],[f1290,f1158]) ).
fof(f18735,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(X0,or(necessarily(possibly(X1)),possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1290,f3427]) ).
fof(f18736,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(X0,possibly(necessarily(not(X1)))),implies(or(necessarily(possibly(X1)),X0),equiv(X0,possibly(necessarily(not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1290,f1161]) ).
fof(f18737,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(or(necessarily(possibly(X0)),X1),implies(implies(X1,possibly(necessarily(not(X0)))),equiv(possibly(necessarily(not(X0))),X1))))) ),
inference(paramodulation,[status(thm)],[f1290,f1161]) ).
fof(f18739,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,possibly(necessarily(not(X1)))),implies(or(necessarily(possibly(X1)),X2),implies(X0,X2))))) ),
inference(paramodulation,[status(thm)],[f1290,f1283]) ).
fof(f18741,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(or(necessarily(possibly(X2)),X1),implies(or(X0,possibly(necessarily(not(X2)))),X1))))) ),
inference(paramodulation,[status(thm)],[f1290,f1205]) ).
fof(f18742,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(or(necessarily(possibly(X0)),X1),implies(implies(X2,X1),implies(or(possibly(necessarily(not(X0))),X2),X1))))) ),
inference(paramodulation,[status(thm)],[f1290,f1205]) ).
fof(f18745,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(X0,possibly(necessarily(not(X1)))),or(necessarily(possibly(X1)),X0)))) ),
inference(paramodulation,[status(thm)],[f1290,f1168]) ).
fof(f18746,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(or(necessarily(possibly(X0)),possibly(necessarily(not(X0)))),X1))) ),
inference(paramodulation,[status(thm)],[f1290,f3314]) ).
fof(f18747,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(possibly(necessarily(not(X0))),X1),or(necessarily(possibly(X0)),X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f1201]) ).
fof(f18748,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(or(X0,not(possibly(necessarily(not(X1))))),or(necessarily(possibly(X1)),X0)))) ),
inference(paramodulation,[status(thm)],[f1290,f1230]) ).
fof(f18749,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(or(necessarily(possibly(X1)),possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1290,f3178]) ).
fof(f18750,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,possibly(or(necessarily(possibly(X1)),possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1290,f4859]) ).
fof(f18751,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(or(necessarily(possibly(X0)),possibly(necessarily(not(X0))))),X1)) ),
inference(paramodulation,[status(thm)],[f1290,f3177]) ).
fof(f18752,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(possibly(or(necessarily(possibly(X0)),possibly(necessarily(not(X0))))),X1)) ),
inference(paramodulation,[status(thm)],[f1290,f4860]) ).
fof(f18753,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ204_spl
| ~ is_a_theorem(not(or(or(necessarily(possibly(X0)),possibly(necessarily(not(X0)))),X1))) ),
inference(paramodulation,[status(thm)],[f1290,f11820]) ).
fof(f18755,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ206_spl
| ~ is_a_theorem(not(or(X0,or(necessarily(possibly(X1)),possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1290,f12932]) ).
fof(f18756,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(or(necessarily(possibly(X0)),possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1290,f3180]) ).
fof(f18759,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(necessarily(or(necessarily(possibly(X0)),possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1290,f11128]) ).
fof(f18760,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(possibly(necessarily(not(X0)))),necessarily(X1)))
| ~ is_a_theorem(necessarily(or(necessarily(possibly(X0)),X1))) ),
inference(paramodulation,[status(thm)],[f1290,f1157]) ).
fof(f18762,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X2,X1),implies(or(possibly(necessarily(not(X0))),X2),X1)))
| ~ is_a_theorem(or(necessarily(possibly(X0)),X1)) ),
inference(paramodulation,[status(thm)],[f1290,f1203]) ).
fof(f18763,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X1,possibly(necessarily(not(X0)))),equiv(possibly(necessarily(not(X0))),X1)))
| ~ is_a_theorem(or(necessarily(possibly(X0)),X1)) ),
inference(paramodulation,[status(thm)],[f1290,f1160]) ).
fof(f18771,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| is_a_theorem(or(necessarily(possibly(X0)),possibly(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1290,f3447]) ).
fof(f18772,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(necessarily(possibly(X1)),X0))) ),
inference(paramodulation,[status(thm)],[f1290,f387]) ).
fof(f18786,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(X1)
| ~ is_a_theorem(or(necessarily(possibly(X0)),X1))
| ~ is_a_theorem(possibly(necessarily(not(X0)))) ),
inference(paramodulation,[status(thm)],[f1290,f342]) ).
fof(f18788,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| implies(X0,and(possibly(necessarily(not(X1))),not(X2))) = not(and(X0,or(necessarily(possibly(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f1290,f1115]) ).
fof(f18916,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(possibly(X0)),implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1290,f1245]) ).
fof(f18917,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1317,f1245]) ).
fof(f18918,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1047,f1245]) ).
fof(f18919,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(implies(X1,necessarily(not(X2))),X3),implies(X3,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1437,f1245]) ).
fof(f18920,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(implies(X1,and(X2,not(X3))),X4),implies(X4,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1438,f1245]) ).
fof(f18921,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(possibly(and(X1,not(X2))),X3),implies(X3,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1441,f1245]) ).
fof(f18922,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(possibly(necessarily(not(X1))),X2),implies(X2,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1442,f1245]) ).
fof(f18923,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),not(X2)),or(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1394,f1245]) ).
fof(f18924,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1245]) ).
fof(f18925,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,implies(X2,necessarily(not(X3)))),or(and(X2,possibly(X3)),X1)))) ),
inference(paramodulation,[status(thm)],[f1407,f1245]) ).
fof(f18926,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,implies(X2,and(X3,not(X4)))),or(and(X2,implies(X3,X4)),X1)))) ),
inference(paramodulation,[status(thm)],[f1408,f1245]) ).
fof(f18927,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,possibly(and(X2,not(X3)))),or(necessarily(implies(X2,X3)),X1)))) ),
inference(paramodulation,[status(thm)],[f1411,f1245]) ).
fof(f18928,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,possibly(necessarily(not(X2)))),or(necessarily(possibly(X2)),X1)))) ),
inference(paramodulation,[status(thm)],[f1412,f1245]) ).
fof(f18929,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1120,f1245]) ).
fof(f18930,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1245]) ).
fof(f18964,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(possibly(X0)),implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1290,f1244]) ).
fof(f18965,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1317,f1244]) ).
fof(f18966,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1047,f1244]) ).
fof(f18967,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(implies(X1,necessarily(not(X2))),X3),or(and(X1,possibly(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f1437,f1244]) ).
fof(f18968,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(implies(X1,and(X2,not(X3))),X4),or(and(X1,implies(X2,X3)),X4)))) ),
inference(paramodulation,[status(thm)],[f1438,f1244]) ).
fof(f18969,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(possibly(and(X1,not(X2))),X3),or(necessarily(implies(X1,X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f1441,f1244]) ).
fof(f18970,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(possibly(necessarily(not(X1))),X2),or(necessarily(possibly(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f1442,f1244]) ).
fof(f18971,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),not(X2)),or(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1394,f1244]) ).
fof(f18972,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1121,f1244]) ).
fof(f18973,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,implies(X2,necessarily(not(X3)))),implies(X1,implies(X2,necessarily(not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1407,f1244]) ).
fof(f18974,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,implies(X2,and(X3,not(X4)))),implies(X1,implies(X2,and(X3,not(X4))))))) ),
inference(paramodulation,[status(thm)],[f1408,f1244]) ).
fof(f18975,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,possibly(and(X2,not(X3)))),implies(X1,possibly(and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1411,f1244]) ).
fof(f18976,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,possibly(necessarily(not(X2)))),implies(X1,possibly(necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1412,f1244]) ).
fof(f18977,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1120,f1244]) ).
fof(f18978,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f1244]) ).
fof(f18980,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,possibly(necessarily(possibly(necessarily(not(X1)))))),X2) = implies(implies(X0,necessarily(possibly(necessarily(possibly(X1))))),X2) ),
inference(paramodulation,[status(thm)],[f1114,f1372]) ).
fof(f18981,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(and(X0,possibly(necessarily(possibly(and(X1,not(X2)))))),X3) = implies(implies(X0,necessarily(possibly(necessarily(implies(X1,X2))))),X3) ),
inference(paramodulation,[status(thm)],[f1117,f1372]) ).
fof(f18982,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,possibly(necessarily(possibly(X1)))),X2) = implies(implies(X0,necessarily(possibly(necessarily(not(X1))))),X2) ),
inference(paramodulation,[status(thm)],[f943,f1372]) ).
fof(f18983,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(and(X0,possibly(necessarily(implies(X1,and(X2,not(X3)))))),X4) = implies(implies(X0,necessarily(possibly(and(X1,implies(X2,X3))))),X4) ),
inference(paramodulation,[status(thm)],[f1115,f1372]) ).
fof(f18984,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,possibly(necessarily(implies(X1,necessarily(not(X2)))))),X3) = implies(implies(X0,necessarily(possibly(and(X1,possibly(X2))))),X3) ),
inference(paramodulation,[status(thm)],[f1116,f1372]) ).
fof(f18985,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(and(X0,possibly(necessarily(implies(X1,X2)))),X3) = implies(implies(X0,necessarily(possibly(and(X1,not(X2))))),X3) ),
inference(paramodulation,[status(thm)],[f645,f1372]) ).
fof(f18988,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1372,f1367]) ).
fof(f18991,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,necessarily(possibly(X1))),possibly(X2)),implies(necessarily(not(X2)),and(X0,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1372,f1232]) ).
fof(f19001,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1372,f1344]) ).
fof(f19002,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1372,f1345]) ).
fof(f19003,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1372,f1348]) ).
fof(f19005,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(X2,or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f1372,f1355]) ).
fof(f19006,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1372,f1356]) ).
fof(f19010,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,necessarily(possibly(X1))),implies(X2,X3)),implies(and(X2,not(X3)),and(X0,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1372,f1231]) ).
fof(f19016,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,necessarily(possibly(X1))),not(not(X2))),or(X2,and(X0,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1372,f1233]) ).
fof(f19020,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(and(X0,possibly(necessarily(not(X1)))),X2),implies(or(X3,X2),implies(implies(implies(X0,necessarily(possibly(X1))),not(X3)),X2)))) ),
inference(paramodulation,[status(thm)],[f1372,f1207]) ).
fof(f19024,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(implies(implies(X0,necessarily(possibly(X1))),not(X2)),implies(X2,and(X0,possibly(necessarily(not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1372,f1230]) ).
fof(f19025,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,necessarily(possibly(X2))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1372,f1166]) ).
fof(f19028,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(X2,and(X0,possibly(necessarily(not(X1))))))
| ~ is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),not(X2))) ),
inference(paramodulation,[status(thm)],[f1372,f1228]) ).
fof(f19031,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),not(and(X0,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1372,f3034]) ).
fof(f19032,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,necessarily(possibly(X1))),not(X2)),implies(X2,and(X0,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1372,f1044]) ).
fof(f19033,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,necessarily(possibly(X3))),X1)))) ),
inference(paramodulation,[status(thm)],[f1372,f1355]) ).
fof(f19034,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(and(X1,possibly(necessarily(not(X2)))),implies(implies(X1,necessarily(possibly(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1372,f1356]) ).
fof(f19035,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,necessarily(possibly(X2))),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1372,f1182]) ).
fof(f19036,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(and(X0,possibly(necessarily(not(X1)))),implies(implies(X0,necessarily(possibly(X1))),X2)),X3)) ),
inference(paramodulation,[status(thm)],[f1372,f1183]) ).
fof(f19050,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(and(X0,possibly(necessarily(not(X1)))),implies(implies(X0,necessarily(possibly(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1372,f1143]) ).
fof(f19051,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(implies(X1,necessarily(possibly(X2))),X0)))) ),
inference(paramodulation,[status(thm)],[f1372,f1165]) ).
fof(f19052,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(and(X0,possibly(necessarily(not(X1)))),X2),implies(implies(X3,X2),implies(implies(implies(X0,necessarily(possibly(X1))),X3),X2))))) ),
inference(paramodulation,[status(thm)],[f1372,f1205]) ).
fof(f19053,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(implies(and(X0,possibly(necessarily(not(X1)))),implies(implies(X0,necessarily(possibly(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1372,f3074]) ).
fof(f19056,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(X0,possibly(necessarily(not(X1)))),implies(implies(X0,necessarily(possibly(X1))),X2))) ),
inference(paramodulation,[status(thm)],[f1372,f453]) ).
fof(f19057,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,necessarily(possibly(X2))),X0))) ),
inference(paramodulation,[status(thm)],[f1372,f464]) ).
fof(f19058,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(and(X0,possibly(necessarily(not(X1)))),X2),implies(implies(X3,X2),implies(implies(implies(X0,necessarily(possibly(X1))),X3),X2)))) ),
inference(paramodulation,[status(thm)],[f1372,f475]) ).
fof(f19108,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(X0,necessarily(not(necessarily(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f19031]) ).
fof(f19109,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(X0,necessarily(possibly(X1))))) ),
inference(forward_demodulation,[status(thm)],[f943,f19108]) ).
fof(f19149,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,possibly(and(X1,possibly(necessarily(not(X2)))))),X3) = implies(implies(X0,necessarily(implies(X1,necessarily(possibly(X2))))),X3) ),
inference(paramodulation,[status(thm)],[f1114,f1371]) ).
fof(f19150,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(and(X0,possibly(and(X1,possibly(and(X2,not(X3)))))),X4) = implies(implies(X0,necessarily(implies(X1,necessarily(implies(X2,X3))))),X4) ),
inference(paramodulation,[status(thm)],[f1117,f1371]) ).
fof(f19151,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,possibly(and(X1,possibly(X2)))),X3) = implies(implies(X0,necessarily(implies(X1,necessarily(not(X2))))),X3) ),
inference(paramodulation,[status(thm)],[f943,f1371]) ).
fof(f19152,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(and(X0,possibly(and(X1,implies(X2,and(X3,not(X4)))))),X5) = implies(implies(X0,necessarily(implies(X1,and(X2,implies(X3,X4))))),X5) ),
inference(paramodulation,[status(thm)],[f1115,f1371]) ).
fof(f19153,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,possibly(and(X1,implies(X2,necessarily(not(X3)))))),X4) = implies(implies(X0,necessarily(implies(X1,and(X2,possibly(X3))))),X4) ),
inference(paramodulation,[status(thm)],[f1116,f1371]) ).
fof(f19154,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(and(X0,possibly(and(X1,implies(X2,X3)))),X4) = implies(implies(X0,necessarily(implies(X1,and(X2,not(X3))))),X4) ),
inference(paramodulation,[status(thm)],[f645,f1371]) ).
fof(f19157,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1371,f1367]) ).
fof(f19160,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,necessarily(implies(X1,X2))),possibly(X3)),implies(necessarily(not(X3)),and(X0,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1371,f1232]) ).
fof(f19170,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(and(X3,X4),X3))) ),
inference(paramodulation,[status(thm)],[f1371,f1344]) ).
fof(f19171,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(and(X3,X4),X4))) ),
inference(paramodulation,[status(thm)],[f1371,f1345]) ).
fof(f19172,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(necessarily(X3),X3))) ),
inference(paramodulation,[status(thm)],[f1371,f1348]) ).
fof(f19174,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(X3,or(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f1371,f1355]) ).
fof(f19175,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(X3,or(X3,X4)))) ),
inference(paramodulation,[status(thm)],[f1371,f1356]) ).
fof(f19179,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,necessarily(implies(X1,X2))),implies(X3,X4)),implies(and(X3,not(X4)),and(X0,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1371,f1231]) ).
fof(f19185,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,necessarily(implies(X1,X2))),not(not(X3))),or(X3,and(X0,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1371,f1233]) ).
fof(f19189,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(and(X0,possibly(and(X1,not(X2)))),X3),implies(or(X4,X3),implies(implies(implies(X0,necessarily(implies(X1,X2))),not(X4)),X3)))) ),
inference(paramodulation,[status(thm)],[f1371,f1207]) ).
fof(f19193,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(implies(implies(X0,necessarily(implies(X1,X2))),not(X3)),implies(X3,and(X0,possibly(and(X1,not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1371,f1230]) ).
fof(f19194,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,necessarily(implies(X2,X3))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1371,f1166]) ).
fof(f19197,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(X3,and(X0,possibly(and(X1,not(X2))))))
| ~ is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),not(X3))) ),
inference(paramodulation,[status(thm)],[f1371,f1228]) ).
fof(f19200,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),not(and(X0,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1371,f3034]) ).
fof(f19201,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,necessarily(implies(X1,X2))),not(X3)),implies(X3,and(X0,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1371,f1044]) ).
fof(f19202,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,necessarily(implies(X3,X4))),X1)))) ),
inference(paramodulation,[status(thm)],[f1371,f1355]) ).
fof(f19203,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(and(X1,possibly(and(X2,not(X3)))),implies(implies(X1,necessarily(implies(X2,X3))),X4)))) ),
inference(paramodulation,[status(thm)],[f1371,f1356]) ).
fof(f19204,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,necessarily(implies(X2,X3))),X0)),X4)) ),
inference(paramodulation,[status(thm)],[f1371,f1182]) ).
fof(f19205,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(and(X0,possibly(and(X1,not(X2)))),implies(implies(X0,necessarily(implies(X1,X2))),X3)),X4)) ),
inference(paramodulation,[status(thm)],[f1371,f1183]) ).
fof(f19219,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(and(X0,possibly(and(X1,not(X2)))),implies(implies(X0,necessarily(implies(X1,X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1371,f1143]) ).
fof(f19220,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(implies(X1,necessarily(implies(X2,X3))),X0)))) ),
inference(paramodulation,[status(thm)],[f1371,f1165]) ).
fof(f19221,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(and(X0,possibly(and(X1,not(X2)))),X3),implies(implies(X4,X3),implies(implies(implies(X0,necessarily(implies(X1,X2))),X4),X3))))) ),
inference(paramodulation,[status(thm)],[f1371,f1205]) ).
fof(f19222,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(implies(and(X0,possibly(and(X1,not(X2)))),implies(implies(X0,necessarily(implies(X1,X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1371,f3074]) ).
fof(f19225,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(X0,possibly(and(X1,not(X2)))),implies(implies(X0,necessarily(implies(X1,X2))),X3))) ),
inference(paramodulation,[status(thm)],[f1371,f453]) ).
fof(f19226,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,necessarily(implies(X2,X3))),X0))) ),
inference(paramodulation,[status(thm)],[f1371,f464]) ).
fof(f19227,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(and(X0,possibly(and(X1,not(X2)))),X3),implies(implies(X4,X3),implies(implies(implies(X0,necessarily(implies(X1,X2))),X4),X3)))) ),
inference(paramodulation,[status(thm)],[f1371,f475]) ).
fof(f19278,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(X0,necessarily(not(and(X1,not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f19200]) ).
fof(f19279,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(X0,necessarily(implies(X1,X2))))) ),
inference(forward_demodulation,[status(thm)],[f645,f19278]) ).
fof(f19318,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(implies(X0,necessarily(not(X1))),possibly(X2)),X3) = implies(or(and(X0,possibly(X1)),necessarily(not(X2))),X3) ),
inference(paramodulation,[status(thm)],[f1304,f1304]) ).
fof(f19319,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| or(and(possibly(necessarily(not(X0))),possibly(X1)),X2) = implies(or(necessarily(possibly(X0)),necessarily(not(X1))),X2) ),
inference(paramodulation,[status(thm)],[f1290,f1304]) ).
fof(f19320,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(and(possibly(and(X0,not(X1))),possibly(X2)),X3) = implies(or(necessarily(implies(X0,X1)),necessarily(not(X2))),X3) ),
inference(paramodulation,[status(thm)],[f1317,f1304]) ).
fof(f19321,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| or(and(not(X0),possibly(X1)),X2) = implies(or(X0,necessarily(not(X1))),X2) ),
inference(paramodulation,[status(thm)],[f1047,f1304]) ).
fof(f19328,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),or(and(X1,possibly(X2)),or(X0,necessarily(not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1304,f1287]) ).
fof(f19329,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(necessarily(not(X0)),X1),or(and(X1,possibly(X0)),equiv(necessarily(not(X0)),X1))))) ),
inference(paramodulation,[status(thm)],[f1304,f1161]) ).
fof(f19330,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(necessarily(not(X0)),X1),or(and(X1,possibly(X0)),equiv(necessarily(not(X0)),X1)))) ),
inference(paramodulation,[status(thm)],[f1304,f508]) ).
fof(f19331,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,necessarily(not(X1))),or(and(X2,possibly(X1)),implies(or(not(X0),X2),necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1304,f1206]) ).
fof(f19332,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(or(X2,necessarily(not(X1))),implies(or(X0,not(X2)),necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1304,f1207]) ).
fof(f19333,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(X0,necessarily(not(X1))),or(and(X2,possibly(X1)),implies(or(X0,X2),necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1205]) ).
fof(f19334,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,necessarily(not(X1))),or(and(X2,possibly(X1)),implies(or(X0,X2),necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1304,f475]) ).
fof(f19335,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(or(and(X0,possibly(X1)),implies(implies(necessarily(not(X1)),X0),equiv(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1161]) ).
fof(f19336,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(implies(necessarily(not(X1)),X0),equiv(X0,necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1304,f508]) ).
fof(f19339,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(or(and(X0,possibly(X1)),implies(implies(necessarily(not(X1)),X2),implies(X0,X2))))) ),
inference(paramodulation,[status(thm)],[f1304,f1283]) ).
fof(f19340,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(implies(necessarily(not(X1)),X2),implies(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f409]) ).
fof(f19341,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),or(and(X1,possibly(X2)),implies(X0,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1283]) ).
fof(f19342,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(and(X1,possibly(X2)),implies(X0,necessarily(not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1304,f409]) ).
fof(f19343,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,possibly(X1)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1304,f1264]) ).
fof(f19348,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(X0,possibly(X1)),possibly(equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f4820]) ).
fof(f19349,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,possibly(X1)),possibly(implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f4858]) ).
fof(f19350,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(and(X0,possibly(X1)),equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f4574]) ).
fof(f19351,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(X0,possibly(X1)),equiv(X2,X2))) ),
inference(paramodulation,[status(thm)],[f1304,f3295]) ).
fof(f19352,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(or(and(X0,possibly(X1)),or(X2,and(implies(X0,necessarily(not(X1))),not(X2))))) ),
inference(paramodulation,[status(thm)],[f1304,f1212]) ).
fof(f19353,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,possibly(X1)),or(X2,not(X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f3188]) ).
fof(f19354,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,or(and(X1,possibly(X2)),or(X3,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1355]) ).
fof(f19355,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(and(X1,possibly(X2)),or(implies(X1,necessarily(not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1304,f1356]) ).
fof(f19356,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(and(X0,possibly(X1)),or(X2,implies(X0,necessarily(not(X1))))),X3)) ),
inference(paramodulation,[status(thm)],[f1304,f1182]) ).
fof(f19357,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(or(and(X0,possibly(X1)),or(implies(X0,necessarily(not(X1))),X2)),X3)) ),
inference(paramodulation,[status(thm)],[f1304,f1183]) ).
fof(f19358,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(and(X0,possibly(X1)),or(implies(X0,necessarily(not(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f1143]) ).
fof(f19359,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(and(X0,possibly(X1)),or(X2,implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1165]) ).
fof(f19360,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(or(and(X0,possibly(X1)),or(implies(X0,necessarily(not(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f3074]) ).
fof(f19361,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ188_spl
| ~ is_a_theorem(not(or(and(X0,possibly(X1)),or(X2,implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1304,f3070]) ).
fof(f19364,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,or(and(X1,possibly(X2)),and(not(X0),implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1211]) ).
fof(f19368,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(or(and(X0,possibly(X1)),and(implies(X0,necessarily(not(X1))),implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1304,f3020]) ).
fof(f19369,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(X0,or(and(X1,possibly(X2)),and(X0,implies(X1,necessarily(not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1210]) ).
fof(f19375,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(X0,possibly(X1)),necessarily(equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f3304]) ).
fof(f19376,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,possibly(X1)),necessarily(implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f3179]) ).
fof(f19377,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(or(and(X0,possibly(X1)),necessarily(possibly(implies(X0,necessarily(not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1153]) ).
fof(f19379,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1304,f1244]) ).
fof(f19380,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1304,f1245]) ).
fof(f19381,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1304,f1248]) ).
fof(f19382,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,necessarily(not(X1))),implies(X2,necessarily(not(X3)))) = and(or(and(X0,possibly(X1)),implies(X2,necessarily(not(X3)))),or(and(X2,possibly(X3)),implies(X0,necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1304,f1407]) ).
fof(f19384,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,necessarily(not(X1))),implies(X2,and(X3,not(X4)))) = and(or(and(X0,possibly(X1)),implies(X2,and(X3,not(X4)))),or(and(X2,implies(X3,X4)),implies(X0,necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1304,f1408]) ).
fof(f19385,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,not(X2))),implies(X3,necessarily(not(X4)))) = and(or(and(X0,implies(X1,X2)),implies(X3,necessarily(not(X4)))),or(and(X3,possibly(X4)),implies(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1304,f1438]) ).
fof(f19386,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(or(and(X0,possibly(X1)),implies(X2,and(implies(X0,necessarily(not(X1))),X2))))) ),
inference(paramodulation,[status(thm)],[f1304,f1210]) ).
fof(f19388,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(and(X1,possibly(X2)),implies(X3,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1354]) ).
fof(f19389,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(and(X0,possibly(X1)),implies(X2,implies(X0,necessarily(not(X1))))),X3)) ),
inference(paramodulation,[status(thm)],[f1304,f1181]) ).
fof(f19390,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(and(X0,possibly(X1)),implies(X2,implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1149]) ).
fof(f19391,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(and(X0,possibly(X1)),implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f3443]) ).
fof(f19393,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ187_spl
| ~ is_a_theorem(not(or(and(X0,possibly(X1)),implies(X2,implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1304,f3066]) ).
fof(f19395,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(X2,X2))) ),
inference(paramodulation,[status(thm)],[f1304,f3032]) ).
fof(f19398,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X0,possibly(X1)),not(X2)),implies(or(X2,implies(X0,necessarily(not(X1)))),equiv(implies(X0,necessarily(not(X1))),not(X2))))) ),
inference(paramodulation,[status(thm)],[f1304,f1163]) ).
fof(f19400,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,implies(X1,necessarily(not(X2)))),implies(or(and(X1,possibly(X2)),not(X0)),equiv(not(X0),implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1162]) ).
fof(f19401,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(and(X1,possibly(X2)),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1304,f1150]) ).
fof(f19404,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1304,f3176]) ).
fof(f19408,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(and(X1,possibly(X2)),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1304,f1181]) ).
fof(f19411,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(X0,or(and(X1,possibly(X2)),implies(X1,necessarily(not(X2))))),X3)) ),
inference(paramodulation,[status(thm)],[f1304,f3424]) ).
fof(f19412,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(and(X0,possibly(X1)),X2),implies(or(X3,X2),implies(or(implies(X0,necessarily(not(X1))),not(X3)),X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f1207]) ).
fof(f19413,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))),X2),X3)) ),
inference(paramodulation,[status(thm)],[f1304,f3311]) ).
fof(f19415,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(and(X2,possibly(X3)),X1),implies(or(not(X0),implies(X2,necessarily(not(X3)))),X1)))) ),
inference(paramodulation,[status(thm)],[f1304,f1206]) ).
fof(f19416,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,implies(X1,necessarily(not(X2)))),implies(or(and(X1,possibly(X2)),X3),or(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f1304,f1287]) ).
fof(f19417,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(or(and(X1,possibly(X2)),implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1304,f3179]) ).
fof(f19418,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,possibly(or(and(X1,possibly(X2)),implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1304,f4858]) ).
fof(f19419,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,or(and(X1,possibly(X2)),X3)),implies(and(implies(X1,necessarily(not(X2))),not(X3)),X0))) ),
inference(paramodulation,[status(thm)],[f1304,f1231]) ).
fof(f19420,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(and(X1,possibly(X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1304,f1149]) ).
fof(f19421,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(X0,or(and(X1,possibly(X2)),implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1304,f3443]) ).
fof(f19422,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(necessarily(implies(necessarily(or(and(X0,possibly(X1)),X2)),implies(necessarily(implies(X0,necessarily(not(X1)))),necessarily(X2))))) ),
inference(paramodulation,[status(thm)],[f1304,f1158]) ).
fof(f19423,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(X0,or(and(X1,possibly(X2)),implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1304,f3427]) ).
fof(f19424,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(X0,implies(X1,necessarily(not(X2)))),implies(or(and(X1,possibly(X2)),X0),equiv(X0,implies(X1,necessarily(not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1161]) ).
fof(f19425,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(or(and(X0,possibly(X1)),X2),implies(implies(X2,implies(X0,necessarily(not(X1)))),equiv(implies(X0,necessarily(not(X1))),X2))))) ),
inference(paramodulation,[status(thm)],[f1304,f1161]) ).
fof(f19427,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,implies(X1,necessarily(not(X2)))),implies(or(and(X1,possibly(X2)),X3),implies(X0,X3))))) ),
inference(paramodulation,[status(thm)],[f1304,f1283]) ).
fof(f19429,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(or(and(X2,possibly(X3)),X1),implies(or(X0,implies(X2,necessarily(not(X3)))),X1))))) ),
inference(paramodulation,[status(thm)],[f1304,f1205]) ).
fof(f19430,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(or(and(X0,possibly(X1)),X2),implies(implies(X3,X2),implies(or(implies(X0,necessarily(not(X1))),X3),X2))))) ),
inference(paramodulation,[status(thm)],[f1304,f1205]) ).
fof(f19433,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(X0,implies(X1,necessarily(not(X2)))),or(and(X1,possibly(X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1304,f1168]) ).
fof(f19434,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))),X2))) ),
inference(paramodulation,[status(thm)],[f1304,f3314]) ).
fof(f19435,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(implies(X0,necessarily(not(X1))),X2),or(and(X0,possibly(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f1201]) ).
fof(f19436,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(or(X0,not(implies(X1,necessarily(not(X2))))),or(and(X1,possibly(X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1304,f1230]) ).
fof(f19437,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(or(and(X1,possibly(X2)),implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1304,f3178]) ).
fof(f19438,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,possibly(or(and(X1,possibly(X2)),implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1304,f4859]) ).
fof(f19439,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1))))),X2)) ),
inference(paramodulation,[status(thm)],[f1304,f3177]) ).
fof(f19440,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(possibly(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1))))),X2)) ),
inference(paramodulation,[status(thm)],[f1304,f4860]) ).
fof(f19441,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ204_spl
| ~ is_a_theorem(not(or(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))),X2))) ),
inference(paramodulation,[status(thm)],[f1304,f11820]) ).
fof(f19443,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ206_spl
| ~ is_a_theorem(not(or(X0,or(and(X1,possibly(X2)),implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1304,f12932]) ).
fof(f19444,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1304,f3180]) ).
fof(f19447,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(necessarily(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1304,f11128]) ).
fof(f19448,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(implies(X0,necessarily(not(X1)))),necessarily(X2)))
| ~ is_a_theorem(necessarily(or(and(X0,possibly(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f1304,f1157]) ).
fof(f19450,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X3,X2),implies(or(implies(X0,necessarily(not(X1))),X3),X2)))
| ~ is_a_theorem(or(and(X0,possibly(X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1304,f1203]) ).
fof(f19451,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X2,implies(X0,necessarily(not(X1)))),equiv(implies(X0,necessarily(not(X1))),X2)))
| ~ is_a_theorem(or(and(X0,possibly(X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1304,f1160]) ).
fof(f19459,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ191_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1304,f3447]) ).
fof(f19460,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(and(X1,possibly(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1304,f387]) ).
fof(f19474,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| is_a_theorem(X2)
| ~ is_a_theorem(or(and(X0,possibly(X1)),X2))
| ~ is_a_theorem(implies(X0,necessarily(not(X1)))) ),
inference(paramodulation,[status(thm)],[f1304,f342]) ).
fof(f19476,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| implies(X0,and(implies(X1,necessarily(not(X2))),not(X3))) = not(and(X0,or(and(X1,possibly(X2)),X3))) ),
inference(paramodulation,[status(thm)],[f1304,f1115]) ).
fof(f19485,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(or(and(X0,possibly(X1)),or(and(X2,possibly(X1)),implies(or(X0,X2),necessarily(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1304,f19333]) ).
fof(f19486,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,possibly(X1)),or(and(X2,possibly(X1)),implies(or(X0,X2),necessarily(not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1304,f19334]) ).
fof(f19532,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| or(and(X0,or(X1,and(X2,not(X3)))),X4) = implies(implies(X0,and(not(X1),implies(X2,X3))),X4) ),
inference(paramodulation,[status(thm)],[f1047,f1369]) ).
fof(f19533,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,and(X2,possibly(necessarily(not(X3)))))),X4) = implies(implies(X0,and(X1,implies(X2,necessarily(possibly(X3))))),X4) ),
inference(paramodulation,[status(thm)],[f1114,f1369]) ).
fof(f19534,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,and(X2,possibly(and(X3,not(X4)))))),X5) = implies(implies(X0,and(X1,implies(X2,necessarily(implies(X3,X4))))),X5) ),
inference(paramodulation,[status(thm)],[f1117,f1369]) ).
fof(f19535,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,and(X2,possibly(X3)))),X4) = implies(implies(X0,and(X1,implies(X2,necessarily(not(X3))))),X4) ),
inference(paramodulation,[status(thm)],[f943,f1369]) ).
fof(f19536,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,and(X2,implies(X3,and(X4,not(X5)))))),X6) = implies(implies(X0,and(X1,implies(X2,and(X3,implies(X4,X5))))),X6) ),
inference(paramodulation,[status(thm)],[f1115,f1369]) ).
fof(f19537,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,and(X2,implies(X3,necessarily(not(X4)))))),X5) = implies(implies(X0,and(X1,implies(X2,and(X3,possibly(X4))))),X5) ),
inference(paramodulation,[status(thm)],[f1116,f1369]) ).
fof(f19538,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,and(X2,implies(X3,X4)))),X5) = implies(implies(X0,and(X1,implies(X2,and(X3,not(X4))))),X5) ),
inference(paramodulation,[status(thm)],[f645,f1369]) ).
fof(f19541,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1369,f1367]) ).
fof(f19544,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ164_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,implies(X2,X3))),possibly(X4)),implies(necessarily(not(X4)),and(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1369,f1232]) ).
fof(f19554,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(and(X4,X5),X4))) ),
inference(paramodulation,[status(thm)],[f1369,f1344]) ).
fof(f19555,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(and(X4,X5),X5))) ),
inference(paramodulation,[status(thm)],[f1369,f1345]) ).
fof(f19556,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(necessarily(X4),X4))) ),
inference(paramodulation,[status(thm)],[f1369,f1348]) ).
fof(f19558,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(X4,or(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f1369,f1355]) ).
fof(f19559,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(X4,or(X4,X5)))) ),
inference(paramodulation,[status(thm)],[f1369,f1356]) ).
fof(f19563,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,implies(X2,X3))),implies(X4,X5)),implies(and(X4,not(X5)),and(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1369,f1231]) ).
fof(f19569,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,implies(X2,X3))),not(not(X4))),or(X4,and(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1369,f1233]) ).
fof(f19573,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(and(X0,implies(X1,and(X2,not(X3)))),X4),implies(or(X5,X4),implies(implies(implies(X0,and(X1,implies(X2,X3))),not(X5)),X4)))) ),
inference(paramodulation,[status(thm)],[f1369,f1207]) ).
fof(f19577,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(implies(implies(X0,and(X1,implies(X2,X3))),not(X4)),implies(X4,and(X0,implies(X1,and(X2,not(X3)))))))) ),
inference(paramodulation,[status(thm)],[f1369,f1230]) ).
fof(f19578,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,and(X2,implies(X3,X4))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1369,f1166]) ).
fof(f19581,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(X4,and(X0,implies(X1,and(X2,not(X3))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),not(X4))) ),
inference(paramodulation,[status(thm)],[f1369,f1228]) ).
fof(f19584,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),not(and(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1369,f3034]) ).
fof(f19585,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,implies(X2,X3))),not(X4)),implies(X4,and(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1369,f1044]) ).
fof(f19586,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,and(X3,implies(X4,X5))),X1)))) ),
inference(paramodulation,[status(thm)],[f1369,f1355]) ).
fof(f19587,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(and(X1,implies(X2,and(X3,not(X4)))),implies(implies(X1,and(X2,implies(X3,X4))),X5)))) ),
inference(paramodulation,[status(thm)],[f1369,f1356]) ).
fof(f19588,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,and(X2,implies(X3,X4))),X0)),X5)) ),
inference(paramodulation,[status(thm)],[f1369,f1182]) ).
fof(f19589,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(and(X0,implies(X1,and(X2,not(X3)))),implies(implies(X0,and(X1,implies(X2,X3))),X4)),X5)) ),
inference(paramodulation,[status(thm)],[f1369,f1183]) ).
fof(f19603,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(and(X0,implies(X1,and(X2,not(X3)))),implies(implies(X0,and(X1,implies(X2,X3))),X4)))) ),
inference(paramodulation,[status(thm)],[f1369,f1143]) ).
fof(f19604,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(implies(X1,and(X2,implies(X3,X4))),X0)))) ),
inference(paramodulation,[status(thm)],[f1369,f1165]) ).
fof(f19605,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(and(X0,implies(X1,and(X2,not(X3)))),X4),implies(implies(X5,X4),implies(implies(implies(X0,and(X1,implies(X2,X3))),X5),X4))))) ),
inference(paramodulation,[status(thm)],[f1369,f1205]) ).
fof(f19606,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(implies(and(X0,implies(X1,and(X2,not(X3)))),implies(implies(X0,and(X1,implies(X2,X3))),X4)))) ),
inference(paramodulation,[status(thm)],[f1369,f3074]) ).
fof(f19609,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(X0,implies(X1,and(X2,not(X3)))),implies(implies(X0,and(X1,implies(X2,X3))),X4))) ),
inference(paramodulation,[status(thm)],[f1369,f453]) ).
fof(f19610,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(X2,implies(X3,X4))),X0))) ),
inference(paramodulation,[status(thm)],[f1369,f464]) ).
fof(f19611,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(and(X0,implies(X1,and(X2,not(X3)))),X4),implies(implies(X5,X4),implies(implies(implies(X0,and(X1,implies(X2,X3))),X5),X4)))) ),
inference(paramodulation,[status(thm)],[f1369,f475]) ).
fof(f19664,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(X0,and(X1,not(and(X2,not(X3))))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f19584]) ).
fof(f19665,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(X0,and(X1,implies(X2,X3))))) ),
inference(forward_demodulation,[status(thm)],[f645,f19664]) ).
fof(f19736,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1304,f1253]) ).
fof(f19737,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(possibly(X0)),implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1290,f1253]) ).
fof(f19738,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1317,f1253]) ).
fof(f19739,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1047,f1253]) ).
fof(f19740,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(and(X1,possibly(X2)),or(implies(X1,necessarily(not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1304,f1253]) ).
fof(f19741,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(necessarily(possibly(X1)),or(possibly(necessarily(not(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1290,f1253]) ).
fof(f19742,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(necessarily(implies(X1,X2)),or(possibly(and(X1,not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1317,f1253]) ).
fof(f19744,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(and(X1,implies(X2,and(X3,not(X4)))),implies(implies(X1,and(X2,implies(X3,X4))),X5)))) ),
inference(paramodulation,[status(thm)],[f1369,f1253]) ).
fof(f19745,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(and(X1,possibly(and(X2,not(X3)))),implies(implies(X1,necessarily(implies(X2,X3))),X4)))) ),
inference(paramodulation,[status(thm)],[f1371,f1253]) ).
fof(f19746,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(and(X1,possibly(necessarily(not(X2)))),implies(implies(X1,necessarily(possibly(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1372,f1253]) ).
fof(f19748,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(necessarily(possibly(and(X1,not(X2)))),implies(possibly(necessarily(implies(X1,X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1384,f1253]) ).
fof(f19749,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(necessarily(possibly(necessarily(not(X1)))),implies(possibly(necessarily(possibly(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1385,f1253]) ).
fof(f19750,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(necessarily(implies(X1,necessarily(not(X2)))),implies(possibly(and(X1,possibly(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1381,f1253]) ).
fof(f19751,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(necessarily(implies(X1,and(X2,not(X3)))),implies(possibly(and(X1,implies(X2,X3))),X4)))) ),
inference(paramodulation,[status(thm)],[f1382,f1253]) ).
fof(f19758,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| or(and(X0,or(X1,necessarily(not(X2)))),X3) = implies(implies(X0,and(not(X1),possibly(X2))),X3) ),
inference(paramodulation,[status(thm)],[f1047,f1368]) ).
fof(f19759,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,necessarily(possibly(necessarily(not(X2)))))),X3) = implies(implies(X0,and(X1,possibly(necessarily(possibly(X2))))),X3) ),
inference(paramodulation,[status(thm)],[f1114,f1368]) ).
fof(f19760,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,necessarily(possibly(and(X2,not(X3)))))),X4) = implies(implies(X0,and(X1,possibly(necessarily(implies(X2,X3))))),X4) ),
inference(paramodulation,[status(thm)],[f1117,f1368]) ).
fof(f19761,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,necessarily(possibly(X2)))),X3) = implies(implies(X0,and(X1,possibly(necessarily(not(X2))))),X3) ),
inference(paramodulation,[status(thm)],[f943,f1368]) ).
fof(f19762,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,necessarily(implies(X2,and(X3,not(X4)))))),X5) = implies(implies(X0,and(X1,possibly(and(X2,implies(X3,X4))))),X5) ),
inference(paramodulation,[status(thm)],[f1115,f1368]) ).
fof(f19763,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,necessarily(implies(X2,necessarily(not(X3)))))),X4) = implies(implies(X0,and(X1,possibly(and(X2,possibly(X3))))),X4) ),
inference(paramodulation,[status(thm)],[f1116,f1368]) ).
fof(f19764,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,necessarily(implies(X2,X3)))),X4) = implies(implies(X0,and(X1,possibly(and(X2,not(X3))))),X4) ),
inference(paramodulation,[status(thm)],[f645,f1368]) ).
fof(f19767,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1368,f1367]) ).
fof(f19770,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,possibly(X2))),possibly(X3)),implies(necessarily(not(X3)),and(X0,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1368,f1232]) ).
fof(f19780,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(and(X3,X4),X3))) ),
inference(paramodulation,[status(thm)],[f1368,f1344]) ).
fof(f19781,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(and(X3,X4),X4))) ),
inference(paramodulation,[status(thm)],[f1368,f1345]) ).
fof(f19782,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(necessarily(X3),X3))) ),
inference(paramodulation,[status(thm)],[f1368,f1348]) ).
fof(f19784,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(X3,or(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f1368,f1355]) ).
fof(f19785,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(X3,or(X3,X4)))) ),
inference(paramodulation,[status(thm)],[f1368,f1356]) ).
fof(f19789,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,possibly(X2))),implies(X3,X4)),implies(and(X3,not(X4)),and(X0,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1368,f1231]) ).
fof(f19795,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,possibly(X2))),not(not(X3))),or(X3,and(X0,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1368,f1233]) ).
fof(f19799,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(and(X0,implies(X1,necessarily(not(X2)))),X3),implies(or(X4,X3),implies(implies(implies(X0,and(X1,possibly(X2))),not(X4)),X3)))) ),
inference(paramodulation,[status(thm)],[f1368,f1207]) ).
fof(f19803,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(implies(implies(X0,and(X1,possibly(X2))),not(X3)),implies(X3,and(X0,implies(X1,necessarily(not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1368,f1230]) ).
fof(f19804,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,and(X2,possibly(X3))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1368,f1166]) ).
fof(f19807,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(X3,and(X0,implies(X1,necessarily(not(X2))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),not(X3))) ),
inference(paramodulation,[status(thm)],[f1368,f1228]) ).
fof(f19810,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),not(and(X0,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1368,f3034]) ).
fof(f19811,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,possibly(X2))),not(X3)),implies(X3,and(X0,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1368,f1044]) ).
fof(f19812,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(and(X1,implies(X2,necessarily(not(X3)))),implies(implies(X1,and(X2,possibly(X3))),X4)))) ),
inference(paramodulation,[status(thm)],[f1368,f1253]) ).
fof(f19813,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,and(X3,possibly(X4))),X1)))) ),
inference(paramodulation,[status(thm)],[f1368,f1355]) ).
fof(f19814,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(and(X1,implies(X2,necessarily(not(X3)))),implies(implies(X1,and(X2,possibly(X3))),X4)))) ),
inference(paramodulation,[status(thm)],[f1368,f1356]) ).
fof(f19815,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,and(X2,possibly(X3))),X0)),X4)) ),
inference(paramodulation,[status(thm)],[f1368,f1182]) ).
fof(f19816,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(and(X0,implies(X1,necessarily(not(X2)))),implies(implies(X0,and(X1,possibly(X2))),X3)),X4)) ),
inference(paramodulation,[status(thm)],[f1368,f1183]) ).
fof(f19830,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(implies(and(X0,implies(X1,necessarily(not(X2)))),implies(implies(X0,and(X1,possibly(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1368,f1143]) ).
fof(f19831,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(implies(X1,and(X2,possibly(X3))),X0)))) ),
inference(paramodulation,[status(thm)],[f1368,f1165]) ).
fof(f19832,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(and(X0,implies(X1,necessarily(not(X2)))),X3),implies(implies(X4,X3),implies(implies(implies(X0,and(X1,possibly(X2))),X4),X3))))) ),
inference(paramodulation,[status(thm)],[f1368,f1205]) ).
fof(f19833,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(implies(and(X0,implies(X1,necessarily(not(X2)))),implies(implies(X0,and(X1,possibly(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1368,f3074]) ).
fof(f19836,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(X0,implies(X1,necessarily(not(X2)))),implies(implies(X0,and(X1,possibly(X2))),X3))) ),
inference(paramodulation,[status(thm)],[f1368,f453]) ).
fof(f19837,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(X2,possibly(X3))),X0))) ),
inference(paramodulation,[status(thm)],[f1368,f464]) ).
fof(f19838,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(and(X0,implies(X1,necessarily(not(X2)))),X3),implies(implies(X4,X3),implies(implies(implies(X0,and(X1,possibly(X2))),X4),X3)))) ),
inference(paramodulation,[status(thm)],[f1368,f475]) ).
fof(f19891,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(X0,and(X1,not(necessarily(not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f19810]) ).
fof(f19892,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(X0,and(X1,possibly(X2))))) ),
inference(forward_demodulation,[status(thm)],[f943,f19891]) ).
fof(f19967,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(and(X1,possibly(X2)),or(X3,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1252]) ).
fof(f19968,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(necessarily(possibly(X1)),or(X2,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1290,f1252]) ).
fof(f19969,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(necessarily(implies(X1,X2)),or(X3,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1317,f1252]) ).
fof(f20014,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(X2,implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f1251]) ).
fof(f20015,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(possibly(X0)),implies(X1,implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f1251]) ).
fof(f20016,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),implies(X2,implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f1251]) ).
fof(f20017,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)],[f1047,f1251]) ).
fof(f20018,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,or(and(X1,possibly(X2)),implies(X3,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1251]) ).
fof(f20019,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,or(necessarily(possibly(X1)),implies(X2,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1290,f1251]) ).
fof(f20020,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,or(necessarily(implies(X1,X2)),implies(X3,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1317,f1251]) ).
fof(f20022,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(and(X2,possibly(X3)),X1)))) ),
inference(paramodulation,[status(thm)],[f1304,f1251]) ).
fof(f20023,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(necessarily(possibly(X2)),X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f1251]) ).
fof(f20024,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(necessarily(implies(X2,X3)),X1)))) ),
inference(paramodulation,[status(thm)],[f1317,f1251]) ).
fof(f20025,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)],[f1047,f1251]) ).
fof(f20027,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),possibly(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f11303,f3015]) ).
fof(f20028,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),possibly(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f11303,f1885]) ).
fof(f20029,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f11303,f1884]) ).
fof(f20030,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f11303,f1883]) ).
fof(f20031,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f11303,f1882]) ).
fof(f20032,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f11303,f1881]) ).
fof(f20033,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f11303,f1880]) ).
fof(f20034,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f11303,f1879]) ).
fof(f20035,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f11303,f1878]) ).
fof(f20036,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),possibly(necessarily(or(X3,not(X3)))))) ),
inference(resolution,[status(thm)],[f11303,f1877]) ).
fof(f20037,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),possibly(necessarily(or(X3,not(X3)))))) ),
inference(resolution,[status(thm)],[f11303,f1876]) ).
fof(f20038,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f11303,f1875]) ).
fof(f20039,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f11303,f1874]) ).
fof(f20040,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f11303,f1873]) ).
fof(f20041,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f11303,f1872]) ).
fof(f20042,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),possibly(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f11303,f1871]) ).
fof(f20043,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),possibly(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f11303,f1870]) ).
fof(f20044,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f11303,f1869]) ).
fof(f20045,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),possibly(necessarily(or(X0,not(X0)))))) ),
inference(resolution,[status(thm)],[f11303,f1868]) ).
fof(f20046,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(possibly(necessarily(or(X1,not(X1)))),X0))) ),
inference(resolution,[status(thm)],[f11303,f1208]) ).
fof(f20047,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(possibly(necessarily(or(X0,not(X0))))))) ),
inference(resolution,[status(thm)],[f11303,f1152]) ).
fof(f20048,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(possibly(necessarily(or(X0,not(X0)))),possibly(necessarily(or(X0,not(X0)))))) ),
inference(resolution,[status(thm)],[f11303,f3013]) ).
fof(f20049,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(possibly(necessarily(or(X0,not(X0)))),X1)) ),
inference(resolution,[status(thm)],[f11303,f1142]) ).
fof(f20050,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,possibly(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f11303,f1164]) ).
fof(f20051,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,possibly(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f11303,f1148]) ).
fof(f20052,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(possibly(necessarily(or(X1,not(X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f11303,f700]) ).
fof(f20067,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(necessarily(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1115,f11303]) ).
fof(f20091,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(equiv(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f4557,f1122]) ).
fof(f20092,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(or(equiv(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f4557,f3015]) ).
fof(f20093,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(or(equiv(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f4557,f1885]) ).
fof(f20094,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f4557,f1884]) ).
fof(f20095,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f4557,f1883]) ).
fof(f20096,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f4557,f1882]) ).
fof(f20097,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f4557,f1881]) ).
fof(f20098,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f4557,f1880]) ).
fof(f20099,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f4557,f1879]) ).
fof(f20100,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f4557,f1878]) ).
fof(f20101,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(or(equiv(X3,X3),X4),X5))) ),
inference(resolution,[status(thm)],[f4557,f1877]) ).
fof(f20102,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(or(equiv(X3,X3),X4),X5))) ),
inference(resolution,[status(thm)],[f4557,f1876]) ).
fof(f20103,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f4557,f1875]) ).
fof(f20104,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f4557,f1874]) ).
fof(f20105,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f4557,f1873]) ).
fof(f20106,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f4557,f1872]) ).
fof(f20107,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(or(equiv(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f4557,f1871]) ).
fof(f20108,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(or(equiv(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f4557,f1870]) ).
fof(f20109,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f4557,f1869]) ).
fof(f20110,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(or(equiv(X0,X0),X1),X2))) ),
inference(resolution,[status(thm)],[f4557,f1868]) ).
fof(f20111,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(or(or(equiv(X1,X1),X2),X3),X0))) ),
inference(resolution,[status(thm)],[f4557,f1208]) ).
fof(f20112,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(or(or(equiv(X0,X0),X1),X2)))) ),
inference(resolution,[status(thm)],[f4557,f1152]) ).
fof(f20113,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(or(or(equiv(X0,X0),X1),X2),or(or(equiv(X0,X0),X1),X2))) ),
inference(resolution,[status(thm)],[f4557,f3013]) ).
fof(f20114,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(or(equiv(X0,X0),X1),X2),X3)) ),
inference(resolution,[status(thm)],[f4557,f1142]) ).
fof(f20115,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,or(or(equiv(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f4557,f1164]) ).
fof(f20116,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,or(or(equiv(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f4557,f1148]) ).
fof(f20117,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(or(or(equiv(X1,X1),X2),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4557,f700]) ).
fof(f20118,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(or(equiv(X0,X0),X1),X2))) ),
inference(resolution,[status(thm)],[f4557,f666]) ).
fof(f20119,definition,
! [X0,X1] :
( sQ207_spl
<=> ~ is_a_theorem(not(or(equiv(X0,X0),X1))) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f20120,plain,
! [X0,X1] :
( ~ sQ207_spl
| ~ is_a_theorem(not(or(equiv(X0,X0),X1))) ),
inference(component_clause,[status(thm)],[f20119]) ).
fof(f20122,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ173_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f20091,f20119,f1459,f658,f518,f397,f386,f452,f341,f644,f630]) ).
fof(f20123,plain,
( ~ sQ176_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f12936]) ).
fof(f20170,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| or(and(implies(X0,and(X1,not(X2))),implies(X3,X4)),X5) = implies(or(and(X0,implies(X1,X2)),and(X3,not(X4))),X5) ),
inference(paramodulation,[status(thm)],[f1298,f1298]) ).
fof(f20171,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(implies(X0,necessarily(not(X1))),implies(X2,X3)),X4) = implies(or(and(X0,possibly(X1)),and(X2,not(X3))),X4) ),
inference(paramodulation,[status(thm)],[f1304,f1298]) ).
fof(f20172,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| or(and(possibly(necessarily(not(X0))),implies(X1,X2)),X3) = implies(or(necessarily(possibly(X0)),and(X1,not(X2))),X3) ),
inference(paramodulation,[status(thm)],[f1290,f1298]) ).
fof(f20173,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| or(and(possibly(and(X0,not(X1))),implies(X2,X3)),X4) = implies(or(necessarily(implies(X0,X1)),and(X2,not(X3))),X4) ),
inference(paramodulation,[status(thm)],[f1317,f1298]) ).
fof(f20174,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| or(and(not(X0),implies(X1,X2)),X3) = implies(or(X0,and(X1,not(X2))),X3) ),
inference(paramodulation,[status(thm)],[f1047,f1298]) ).
fof(f20181,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),or(and(X1,implies(X2,X3)),or(X0,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f1298,f1287]) ).
fof(f20182,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(and(X0,not(X1)),X2),or(and(X2,implies(X0,X1)),equiv(and(X0,not(X1)),X2))))) ),
inference(paramodulation,[status(thm)],[f1298,f1161]) ).
fof(f20183,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),X2),or(and(X2,implies(X0,X1)),equiv(and(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f1298,f508]) ).
fof(f20184,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,not(X2))),or(and(X3,implies(X1,X2)),implies(or(not(X0),X3),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1298,f1206]) ).
fof(f20185,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(or(X3,and(X1,not(X2))),implies(or(X0,not(X3)),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1298,f1207]) ).
fof(f20186,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(X0,and(X1,not(X2))),or(and(X3,implies(X1,X2)),implies(or(X0,X3),and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1205]) ).
fof(f20187,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(X1,not(X2))),or(and(X3,implies(X1,X2)),implies(or(X0,X3),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1298,f475]) ).
fof(f20188,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),implies(implies(and(X1,not(X2)),X0),equiv(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1161]) ).
fof(f20189,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(implies(and(X1,not(X2)),X0),equiv(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1298,f508]) ).
fof(f20192,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),implies(implies(and(X1,not(X2)),X3),implies(X0,X3))))) ),
inference(paramodulation,[status(thm)],[f1298,f1283]) ).
fof(f20193,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(implies(and(X1,not(X2)),X3),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f409]) ).
fof(f20194,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),or(and(X1,implies(X2,X3)),implies(X0,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1283]) ).
fof(f20195,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(and(X1,implies(X2,X3)),implies(X0,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f1298,f409]) ).
fof(f20200,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),possibly(equiv(X3,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f4820]) ).
fof(f20201,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),possibly(implies(X3,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f4858]) ).
fof(f20202,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),equiv(X3,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f4574]) ).
fof(f20203,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),equiv(X3,X3))) ),
inference(paramodulation,[status(thm)],[f1298,f3295]) ).
fof(f20204,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(X3,and(implies(X0,and(X1,not(X2))),not(X3))))) ),
inference(paramodulation,[status(thm)],[f1298,f1212]) ).
fof(f20205,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(X3,not(X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f3188]) ).
fof(f20206,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(and(X1,implies(X2,X3)),or(X4,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1252]) ).
fof(f20207,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(and(X1,implies(X2,X3)),or(implies(X1,and(X2,not(X3))),X4)))) ),
inference(paramodulation,[status(thm)],[f1298,f1253]) ).
fof(f20208,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),or(X4,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1355]) ).
fof(f20209,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),or(implies(X1,and(X2,not(X3))),X4)))) ),
inference(paramodulation,[status(thm)],[f1298,f1356]) ).
fof(f20210,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(and(X0,implies(X1,X2)),or(X3,implies(X0,and(X1,not(X2))))),X4)) ),
inference(paramodulation,[status(thm)],[f1298,f1182]) ).
fof(f20211,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(or(and(X0,implies(X1,X2)),or(implies(X0,and(X1,not(X2))),X3)),X4)) ),
inference(paramodulation,[status(thm)],[f1298,f1183]) ).
fof(f20212,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),or(implies(X0,and(X1,not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f1143]) ).
fof(f20213,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),or(X3,implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1165]) ).
fof(f20216,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),and(not(X0),implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1211]) ).
fof(f20221,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),and(implies(X0,and(X1,not(X2))),implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1298,f3020]) ).
fof(f20222,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(X0,or(and(X1,implies(X2,X3)),and(X0,implies(X1,and(X2,not(X3)))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1210]) ).
fof(f20226,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ164_spl
| or(and(implies(X0,and(X1,not(X2))),possibly(X3)),X4) = implies(or(and(X0,implies(X1,X2)),necessarily(not(X3))),X4) ),
inference(paramodulation,[status(thm)],[f1298,f1304]) ).
fof(f20230,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),necessarily(equiv(X3,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f3304]) ).
fof(f20231,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),necessarily(implies(X3,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f3179]) ).
fof(f20232,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),necessarily(possibly(implies(X0,and(X1,not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1153]) ).
fof(f20234,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(and(X3,X4),X3))) ),
inference(paramodulation,[status(thm)],[f1298,f1244]) ).
fof(f20235,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(and(X3,X4),X4))) ),
inference(paramodulation,[status(thm)],[f1298,f1245]) ).
fof(f20236,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(necessarily(X3),X3))) ),
inference(paramodulation,[status(thm)],[f1298,f1248]) ).
fof(f20237,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X3,implies(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f1251]) ).
fof(f20239,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X3,or(X3,X4)))) ),
inference(paramodulation,[status(thm)],[f1298,f1253]) ).
fof(f20242,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,not(X2))),implies(X3,and(X4,not(X5)))) = and(or(and(X0,implies(X1,X2)),implies(X3,and(X4,not(X5)))),or(and(X3,implies(X4,X5)),implies(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1298,f1408]) ).
fof(f20244,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),implies(X3,and(implies(X0,and(X1,not(X2))),X3))))) ),
inference(paramodulation,[status(thm)],[f1298,f1210]) ).
fof(f20246,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,or(and(X1,implies(X2,X3)),implies(X4,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1251]) ).
fof(f20247,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),implies(X4,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1354]) ).
fof(f20248,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(and(X0,implies(X1,X2)),implies(X3,implies(X0,and(X1,not(X2))))),X4)) ),
inference(paramodulation,[status(thm)],[f1298,f1181]) ).
fof(f20249,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),implies(X3,implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1149]) ).
fof(f20250,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),implies(X3,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f3443]) ).
fof(f20253,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X3,X3))) ),
inference(paramodulation,[status(thm)],[f1298,f3032]) ).
fof(f20256,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),not(X3)),implies(or(X3,implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),not(X3))))) ),
inference(paramodulation,[status(thm)],[f1298,f1163]) ).
fof(f20258,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),not(X0)),equiv(not(X0),implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1162]) ).
fof(f20259,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1298,f1150]) ).
fof(f20263,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(and(X2,implies(X3,X4)),X1)))) ),
inference(paramodulation,[status(thm)],[f1298,f1251]) ).
fof(f20264,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1298,f3176]) ).
fof(f20268,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(and(X1,implies(X2,X3)),X0)),X4)) ),
inference(paramodulation,[status(thm)],[f1298,f1181]) ).
fof(f20271,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(X0,or(and(X1,implies(X2,X3)),implies(X1,and(X2,not(X3))))),X4)) ),
inference(paramodulation,[status(thm)],[f1298,f3424]) ).
fof(f20272,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),X3),implies(or(X4,X3),implies(or(implies(X0,and(X1,not(X2))),not(X4)),X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f1207]) ).
fof(f20273,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))),X3),X4)) ),
inference(paramodulation,[status(thm)],[f1298,f3311]) ).
fof(f20275,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(and(X2,implies(X3,X4)),X1),implies(or(not(X0),implies(X2,and(X3,not(X4)))),X1)))) ),
inference(paramodulation,[status(thm)],[f1298,f1206]) ).
fof(f20276,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X4),or(X0,X4)))) ),
inference(paramodulation,[status(thm)],[f1298,f1287]) ).
fof(f20277,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(or(and(X1,implies(X2,X3)),implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1298,f3179]) ).
fof(f20278,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,possibly(or(and(X1,implies(X2,X3)),implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1298,f4858]) ).
fof(f20279,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,or(and(X1,implies(X2,X3)),X4)),implies(and(implies(X1,and(X2,not(X3))),not(X4)),X0))) ),
inference(paramodulation,[status(thm)],[f1298,f1231]) ).
fof(f20280,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(and(X1,implies(X2,X3)),X0)))) ),
inference(paramodulation,[status(thm)],[f1298,f1149]) ).
fof(f20281,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(X0,or(and(X1,implies(X2,X3)),implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1298,f3443]) ).
fof(f20282,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(necessarily(implies(necessarily(or(and(X0,implies(X1,X2)),X3)),implies(necessarily(implies(X0,and(X1,not(X2)))),necessarily(X3))))) ),
inference(paramodulation,[status(thm)],[f1298,f1158]) ).
fof(f20283,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(X0,or(and(X1,implies(X2,X3)),implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1298,f3427]) ).
fof(f20284,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X0),equiv(X0,implies(X1,and(X2,not(X3)))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1161]) ).
fof(f20285,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(or(and(X0,implies(X1,X2)),X3),implies(implies(X3,implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),X3))))) ),
inference(paramodulation,[status(thm)],[f1298,f1161]) ).
fof(f20287,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X4),implies(X0,X4))))) ),
inference(paramodulation,[status(thm)],[f1298,f1283]) ).
fof(f20289,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(or(and(X2,implies(X3,X4)),X1),implies(or(X0,implies(X2,and(X3,not(X4)))),X1))))) ),
inference(paramodulation,[status(thm)],[f1298,f1205]) ).
fof(f20290,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(or(and(X0,implies(X1,X2)),X3),implies(implies(X4,X3),implies(or(implies(X0,and(X1,not(X2))),X4),X3))))) ),
inference(paramodulation,[status(thm)],[f1298,f1205]) ).
fof(f20293,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),X0)))) ),
inference(paramodulation,[status(thm)],[f1298,f1168]) ).
fof(f20294,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))),X3))) ),
inference(paramodulation,[status(thm)],[f1298,f3314]) ).
fof(f20295,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(implies(X0,and(X1,not(X2))),X3),or(and(X0,implies(X1,X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f1201]) ).
fof(f20296,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(or(X0,not(implies(X1,and(X2,not(X3))))),or(and(X1,implies(X2,X3)),X0)))) ),
inference(paramodulation,[status(thm)],[f1298,f1230]) ).
fof(f20297,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(or(and(X1,implies(X2,X3)),implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1298,f3178]) ).
fof(f20298,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,possibly(or(and(X1,implies(X2,X3)),implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1298,f4859]) ).
fof(f20299,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2))))),X3)) ),
inference(paramodulation,[status(thm)],[f1298,f3177]) ).
fof(f20300,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(possibly(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2))))),X3)) ),
inference(paramodulation,[status(thm)],[f1298,f4860]) ).
fof(f20301,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1298,f3180]) ).
fof(f20305,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(implies(X0,and(X1,not(X2)))),necessarily(X3)))
| ~ is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),X3))) ),
inference(paramodulation,[status(thm)],[f1298,f1157]) ).
fof(f20307,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X4,X3),implies(or(implies(X0,and(X1,not(X2))),X4),X3)))
| ~ is_a_theorem(or(and(X0,implies(X1,X2)),X3)) ),
inference(paramodulation,[status(thm)],[f1298,f1203]) ).
fof(f20308,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X3,implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),X3)))
| ~ is_a_theorem(or(and(X0,implies(X1,X2)),X3)) ),
inference(paramodulation,[status(thm)],[f1298,f1160]) ).
fof(f20314,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ191_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1298,f3447]) ).
fof(f20315,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(and(X1,implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f1298,f387]) ).
fof(f20329,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| is_a_theorem(X3)
| ~ is_a_theorem(or(and(X0,implies(X1,X2)),X3))
| ~ is_a_theorem(implies(X0,and(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f1298,f342]) ).
fof(f20331,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| implies(X0,and(implies(X1,and(X2,not(X3))),not(X4))) = not(and(X0,or(and(X1,implies(X2,X3)),X4))) ),
inference(paramodulation,[status(thm)],[f1298,f1115]) ).
fof(f20342,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),or(and(X3,implies(X1,X2)),implies(or(X0,X3),and(X1,not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20186]) ).
fof(f20343,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(and(X3,implies(X1,X2)),implies(or(X0,X3),and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20187]) ).
fof(f20405,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,not(not(not(X0))))),implies(implies(X1,and(X1,not(not(not(X0))))),not(equiv(not(not(X0)),X1))))) ),
inference(paramodulation,[status(thm)],[f1428,f1206]) ).
fof(f20406,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(not(X1),not(not(X0)))),implies(or(X1,and(not(X1),not(not(X0)))),not(equiv(not(X0),not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1428,f1207]) ).
fof(f20407,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(X0,and(X1,not(not(X0)))),implies(implies(X1,and(X1,not(not(X0)))),not(equiv(not(X0),X1)))))) ),
inference(paramodulation,[status(thm)],[f1428,f1205]) ).
fof(f20408,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(X1,not(not(X0)))),implies(implies(X1,and(X1,not(not(X0)))),not(equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f1428,f475]) ).
fof(f20421,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(equiv(not(X0),X1)),implies(or(X2,and(X1,not(not(X0)))),implies(or(or(X0,X1),not(X2)),and(X1,not(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1428,f1207]) ).
fof(f20422,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),not(X2)),implies(or(X2,and(X1,not(not(X0)))),not(equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f1428,f1285]) ).
fof(f20423,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,not(not(X2)))),implies(not(equiv(not(X2),X1)),implies(or(not(X0),or(X2,X1)),and(X1,not(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1428,f1206]) ).
fof(f20424,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(not(equiv(not(X1),X2)),or(X0,and(X2,not(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1428,f1287]) ).
fof(f20427,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(necessarily(implies(necessarily(not(equiv(not(X0),X1))),implies(necessarily(or(X0,X1)),necessarily(and(X1,not(not(X0)))))))) ),
inference(paramodulation,[status(thm)],[f1428,f1158]) ).
fof(f20428,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(and(X0,not(not(X1))),or(X1,X0)),implies(not(equiv(not(X1),X0)),equiv(and(X0,not(not(X1))),or(X1,X0)))))) ),
inference(paramodulation,[status(thm)],[f1428,f1161]) ).
fof(f20429,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(not(equiv(not(X0),X1)),implies(implies(and(X1,not(not(X0))),or(X0,X1)),equiv(or(X0,X1),and(X1,not(not(X0)))))))) ),
inference(paramodulation,[status(thm)],[f1428,f1161]) ).
fof(f20430,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(or(X0,X1),X2),implies(implies(X2,and(X1,not(not(X0)))),not(equiv(not(X0),X1)))))) ),
inference(paramodulation,[status(thm)],[f1428,f1283]) ).
fof(f20431,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,or(X1,X2)),implies(not(equiv(not(X1),X2)),implies(X0,and(X2,not(not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1428,f1283]) ).
fof(f20432,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(not(equiv(not(X0),X1)),implies(implies(and(X1,not(not(X0))),X2),implies(or(X0,X1),X2))))) ),
inference(paramodulation,[status(thm)],[f1428,f1283]) ).
fof(f20433,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(X0,and(X1,not(not(X2)))),implies(not(equiv(not(X2),X1)),implies(or(X0,or(X2,X1)),and(X1,not(not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1428,f1205]) ).
fof(f20434,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(not(equiv(not(X0),X1)),implies(implies(X2,and(X1,not(not(X0)))),implies(or(or(X0,X1),X2),and(X1,not(not(X0)))))))) ),
inference(paramodulation,[status(thm)],[f1428,f1205]) ).
fof(f20435,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(implies(or(X0,X1),implies(or(X0,X1),and(X1,not(not(X0))))),not(equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f1428,f1216]) ).
fof(f20437,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(and(X0,not(not(X1))),or(X1,X0)),not(equiv(not(X1),X0))))) ),
inference(paramodulation,[status(thm)],[f1428,f1168]) ).
fof(f20438,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(or(X0,X1),and(X1,not(not(X0)))),not(equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f1428,f1201]) ).
fof(f20439,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(or(and(X0,not(not(X1))),not(or(X1,X0))),not(equiv(not(X1),X0))))) ),
inference(paramodulation,[status(thm)],[f1428,f1230]) ).
fof(f20440,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(or(X0,X1),and(X1,not(not(X0)))))
| ~ is_a_theorem(implies(or(X0,X1),not(equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f1428,f1214]) ).
fof(f20441,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(or(X0,X1)),necessarily(and(X1,not(not(X0))))))
| ~ is_a_theorem(necessarily(not(equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f1428,f1157]) ).
fof(f20442,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(and(X1,not(not(X0))),X2),implies(or(X0,X1),X2)))
| ~ is_a_theorem(not(equiv(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f1428,f1280]) ).
fof(f20443,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X2,and(X1,not(not(X0)))),implies(or(or(X0,X1),X2),and(X1,not(not(X0))))))
| ~ is_a_theorem(not(equiv(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f1428,f1203]) ).
fof(f20444,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X1,not(not(X0))),or(X0,X1)),equiv(or(X0,X1),and(X1,not(not(X0))))))
| ~ is_a_theorem(not(equiv(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f1428,f1160]) ).
fof(f20446,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(not(equiv(not(X0),X1))),implies(necessarily(or(X0,X1)),necessarily(and(X1,not(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1428,f734]) ).
fof(f20447,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X0,not(not(X1))),or(X1,X0)),implies(not(equiv(not(X1),X0)),equiv(and(X0,not(not(X1))),or(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f1428,f508]) ).
fof(f20448,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ46_spl
| is_a_theorem(implies(not(equiv(not(X0),X1)),implies(implies(and(X1,not(not(X0))),or(X0,X1)),equiv(or(X0,X1),and(X1,not(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1428,f508]) ).
fof(f20449,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),implies(implies(X2,and(X1,not(not(X0)))),not(equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f1428,f409]) ).
fof(f20450,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(not(equiv(not(X1),X2)),implies(X0,and(X2,not(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1428,f409]) ).
fof(f20451,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(not(equiv(not(X0),X1)),implies(implies(and(X1,not(not(X0))),X2),implies(or(X0,X1),X2)))) ),
inference(paramodulation,[status(thm)],[f1428,f409]) ).
fof(f20452,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(X1,not(not(X2)))),implies(not(equiv(not(X2),X1)),implies(or(X0,or(X2,X1)),and(X1,not(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1428,f475]) ).
fof(f20453,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(equiv(not(X0),X1)),implies(implies(X2,and(X1,not(not(X0)))),implies(or(or(X0,X1),X2),and(X1,not(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1428,f475]) ).
fof(f20454,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(or(X0,X1),implies(or(X0,X1),and(X1,not(not(X0))))),not(equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f1428,f398]) ).
fof(f20456,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(and(X0,not(not(X1))),or(X1,X0)),not(equiv(not(X1),X0)))) ),
inference(paramodulation,[status(thm)],[f1428,f497]) ).
fof(f20457,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(or(X0,X1),and(X1,not(not(X0)))),not(equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f1428,f486]) ).
fof(f20458,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(and(X0,not(not(X1))),not(or(X1,X0))),not(equiv(not(X1),X0)))) ),
inference(paramodulation,[status(thm)],[f1428,f1044]) ).
fof(f20459,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(and(X1,not(not(X0))))
| ~ is_a_theorem(not(equiv(not(X0),X1)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(paramodulation,[status(thm)],[f1428,f342]) ).
fof(f20462,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(and(X0,not(not(X1))),or(X1,X0)) = and(implies(and(X0,not(not(X1))),or(X1,X0)),not(equiv(not(X1),X0))) ),
inference(paramodulation,[status(thm)],[f1428,f659]) ).
fof(f20463,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(or(X0,X1),and(X1,not(not(X0)))) = and(not(equiv(not(X0),X1)),implies(and(X1,not(not(X0))),or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f1428,f659]) ).
fof(f20508,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,not(not(not(X0))))),or(and(X1,implies(X1,not(not(X0)))),not(equiv(not(not(X0)),X1))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20405]) ).
fof(f20509,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(not(X1),not(X0))),implies(or(X1,and(not(X1),not(not(X0)))),not(equiv(not(X0),not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20406]) ).
fof(f20510,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,or(X1,not(X0))),implies(or(X1,and(not(X1),not(not(X0)))),not(equiv(not(X0),not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20509]) ).
fof(f20511,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,not(X0))),implies(implies(X1,and(X1,not(not(X0)))),not(equiv(not(X0),X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20407]) ).
fof(f20512,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,not(X0))),or(and(X1,implies(X1,not(X0))),not(equiv(not(X0),X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20511]) ).
fof(f20513,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(X1,not(X0))),implies(implies(X1,and(X1,not(not(X0)))),not(equiv(not(X0),X1))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20408]) ).
fof(f20514,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(X1,not(X0))),or(and(X1,implies(X1,not(X0))),not(equiv(not(X0),X1))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20513]) ).
fof(f20542,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(or(X2,and(X1,not(not(X0)))),implies(or(or(X0,X1),not(X2)),and(X1,not(not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20421]) ).
fof(f20543,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,not(not(X2)))),or(equiv(not(X2),X1),implies(or(not(X0),or(X2,X1)),and(X1,not(not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20423]) ).
fof(f20544,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),or(equiv(not(X1),X2),or(X0,and(X2,not(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20424]) ).
fof(f20547,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(and(X0,not(not(X1))),or(X1,X0)),or(equiv(not(X1),X0),equiv(and(X0,not(not(X1))),or(X1,X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20428]) ).
fof(f20548,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(or(equiv(not(X0),X1),implies(implies(and(X1,not(not(X0))),or(X0,X1)),equiv(or(X0,X1),and(X1,not(not(X0)))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20429]) ).
fof(f20549,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(or(X0,X1),X2),or(and(X2,implies(X1,not(X0))),not(equiv(not(X0),X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20430]) ).
fof(f20550,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,or(X1,X2)),or(equiv(not(X1),X2),implies(X0,and(X2,not(not(X1)))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20431]) ).
fof(f20551,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(or(equiv(not(X0),X1),implies(implies(and(X1,not(not(X0))),X2),implies(or(X0,X1),X2))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20432]) ).
fof(f20552,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,not(X2))),implies(not(equiv(not(X2),X1)),implies(or(X0,or(X2,X1)),and(X1,not(not(X2)))))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20433]) ).
fof(f20553,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,not(X2))),or(equiv(not(X2),X1),implies(or(X0,or(X2,X1)),and(X1,not(not(X2)))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20552]) ).
fof(f20554,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(or(equiv(not(X0),X1),implies(implies(X2,and(X1,not(not(X0)))),implies(or(or(X0,X1),X2),and(X1,not(not(X0)))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20434]) ).
fof(f20555,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(or(equiv(not(X0),X1),or(and(X2,implies(X1,not(X0))),implies(or(or(X0,X1),X2),and(X1,not(not(X0)))))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20554]) ).
fof(f20556,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(implies(or(X0,X1),not(equiv(not(X0),X1))),not(equiv(not(X0),X1))))) ),
inference(forward_demodulation,[status(thm)],[f1428,f20435]) ).
fof(f20558,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(implies(implies(X0,not(X1)),not(or(X1,X0))),not(equiv(not(X1),X0))))) ),
inference(forward_demodulation,[status(thm)],[f1118,f20439]) ).
fof(f20559,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(not(equiv(not(X0),X1)))
| ~ is_a_theorem(implies(or(X0,X1),not(equiv(not(X0),X1)))) ),
inference(forward_demodulation,[status(thm)],[f1428,f20440]) ).
fof(f20560,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X2,implies(X1,not(X0))),implies(or(or(X0,X1),X2),and(X1,not(not(X0))))))
| ~ is_a_theorem(not(equiv(not(X0),X1))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20443]) ).
fof(f20561,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X0,not(not(X1))),or(X1,X0)),or(equiv(not(X1),X0),equiv(and(X0,not(not(X1))),or(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20447]) ).
fof(f20562,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ46_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(implies(and(X1,not(not(X0))),or(X0,X1)),equiv(or(X0,X1),and(X1,not(not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20448]) ).
fof(f20563,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),or(and(X2,implies(X1,not(X0))),not(equiv(not(X0),X1))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20449]) ).
fof(f20564,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(equiv(not(X1),X2),implies(X0,and(X2,not(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20450]) ).
fof(f20565,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(implies(and(X1,not(not(X0))),X2),implies(or(X0,X1),X2)))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20451]) ).
fof(f20566,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(X1,not(X2))),implies(not(equiv(not(X2),X1)),implies(or(X0,or(X2,X1)),and(X1,not(not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20452]) ).
fof(f20567,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(X1,not(X2))),or(equiv(not(X2),X1),implies(or(X0,or(X2,X1)),and(X1,not(not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20566]) ).
fof(f20568,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(implies(X2,and(X1,not(not(X0)))),implies(or(or(X0,X1),X2),and(X1,not(not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20453]) ).
fof(f20569,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(equiv(not(X0),X1),or(and(X2,implies(X1,not(X0))),implies(or(or(X0,X1),X2),and(X1,not(not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20568]) ).
fof(f20570,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(or(X0,X1),not(equiv(not(X0),X1))),not(equiv(not(X0),X1)))) ),
inference(forward_demodulation,[status(thm)],[f1428,f20454]) ).
fof(f20572,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,not(X1)),not(or(X1,X0))),not(equiv(not(X1),X0)))) ),
inference(forward_demodulation,[status(thm)],[f1118,f20458]) ).
fof(f20577,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| or(and(X0,implies(X1,X2)),and(and(X1,not(X2)),not(X0))) = not(equiv(X0,and(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f1298,f1295]) ).
fof(f20578,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| or(and(X0,possibly(X1)),and(necessarily(not(X1)),not(X0))) = not(equiv(X0,necessarily(not(X1)))) ),
inference(paramodulation,[status(thm)],[f1304,f1295]) ).
fof(f20579,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| implies(not(equiv(not(X0),X1)),and(and(X1,not(not(X0))),not(or(X0,X1)))) = not(equiv(or(X0,X1),and(X1,not(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1428,f1295]) ).
fof(f20582,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| implies(not(equiv(X0,X1)),and(and(X1,not(X0)),not(implies(X0,X1)))) = not(equiv(implies(X0,X1),and(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1295,f1295]) ).
fof(f20586,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ87_spl
| ~ sQ83_spl
| implies(implies(necessarily(possibly(X0)),X1),and(X1,possibly(necessarily(not(X0))))) = not(equiv(necessarily(possibly(X0)),X1)) ),
inference(paramodulation,[status(thm)],[f1114,f1295]) ).
fof(f20587,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ87_spl
| implies(implies(necessarily(implies(X0,X1)),X2),and(X2,possibly(and(X0,not(X1))))) = not(equiv(necessarily(implies(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1117,f1295]) ).
fof(f20588,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ87_spl
| ~ sQ83_spl
| implies(implies(necessarily(not(X0)),X1),and(X1,possibly(X0))) = not(equiv(necessarily(not(X0)),X1)) ),
inference(paramodulation,[status(thm)],[f943,f1295]) ).
fof(f20589,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| implies(implies(and(X0,implies(X1,X2)),X3),and(X3,implies(X0,and(X1,not(X2))))) = not(equiv(and(X0,implies(X1,X2)),X3)) ),
inference(paramodulation,[status(thm)],[f1115,f1295]) ).
fof(f20590,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ87_spl
| implies(implies(and(X0,possibly(X1)),X2),and(X2,implies(X0,necessarily(not(X1))))) = not(equiv(and(X0,possibly(X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1116,f1295]) ).
fof(f20591,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| implies(implies(and(X0,not(X1)),X2),and(X2,implies(X0,X1))) = not(equiv(and(X0,not(X1)),X2)) ),
inference(paramodulation,[status(thm)],[f645,f1295]) ).
fof(f20599,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(and(X1,not(X2)),not(equiv(X2,X1))))) ),
inference(paramodulation,[status(thm)],[f1295,f1251]) ).
fof(f20600,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(and(X1,not(X2)),not(equiv(X2,X1))))) ),
inference(paramodulation,[status(thm)],[f1295,f1354]) ).
fof(f20603,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(and(X0,not(X1)),not(equiv(X1,X0))),X2)) ),
inference(paramodulation,[status(thm)],[f1295,f1181]) ).
fof(f20606,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(equiv(X0,X1)),implies(or(X2,and(X1,not(X0))),implies(or(implies(X0,X1),not(X2)),and(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1295,f1207]) ).
fof(f20607,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),not(X2)),implies(or(X2,and(X1,not(X0))),not(equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1295,f1285]) ).
fof(f20608,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,not(X2))),implies(not(equiv(X2,X1)),implies(or(not(X0),implies(X2,X1)),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1295,f1206]) ).
fof(f20609,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(not(equiv(X1,X2)),or(X0,and(X2,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1295,f1287]) ).
fof(f20611,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(and(X0,not(X1)),not(equiv(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f1295,f1149]) ).
fof(f20612,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(necessarily(implies(necessarily(not(equiv(X0,X1))),implies(necessarily(implies(X0,X1)),necessarily(and(X1,not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1295,f1158]) ).
fof(f20613,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(and(X0,not(X1)),implies(X1,X0)),implies(not(equiv(X1,X0)),equiv(and(X0,not(X1)),implies(X1,X0)))))) ),
inference(paramodulation,[status(thm)],[f1295,f1161]) ).
fof(f20614,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(not(equiv(X0,X1)),implies(implies(and(X1,not(X0)),implies(X0,X1)),equiv(implies(X0,X1),and(X1,not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1295,f1161]) ).
fof(f20615,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(implies(X0,X1),X2),implies(implies(X2,and(X1,not(X0))),not(equiv(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1295,f1283]) ).
fof(f20616,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,implies(X1,X2)),implies(not(equiv(X1,X2)),implies(X0,and(X2,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1295,f1283]) ).
fof(f20617,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(not(equiv(X0,X1)),implies(implies(and(X1,not(X0)),X2),implies(implies(X0,X1),X2))))) ),
inference(paramodulation,[status(thm)],[f1295,f1283]) ).
fof(f20618,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(X0,and(X1,not(X2))),implies(not(equiv(X2,X1)),implies(or(X0,implies(X2,X1)),and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1295,f1205]) ).
fof(f20619,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(not(equiv(X0,X1)),implies(implies(X2,and(X1,not(X0))),implies(or(implies(X0,X1),X2),and(X1,not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1295,f1205]) ).
fof(f20620,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(implies(implies(X0,X1),implies(implies(X0,X1),and(X1,not(X0)))),not(equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1295,f1216]) ).
fof(f20622,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(and(X0,not(X1)),implies(X1,X0)),not(equiv(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f1295,f1168]) ).
fof(f20623,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(implies(X0,X1),and(X1,not(X0))),not(equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1295,f1201]) ).
fof(f20624,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(implies(or(and(X0,not(X1)),not(implies(X1,X0))),not(equiv(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f1295,f1230]) ).
fof(f20625,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),and(X1,not(X0))))
| ~ is_a_theorem(implies(implies(X0,X1),not(equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1295,f1214]) ).
fof(f20626,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),necessarily(and(X1,not(X0)))))
| ~ is_a_theorem(necessarily(not(equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1295,f1157]) ).
fof(f20627,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(and(X1,not(X0)),X2),implies(implies(X0,X1),X2)))
| ~ is_a_theorem(not(equiv(X0,X1))) ),
inference(paramodulation,[status(thm)],[f1295,f1280]) ).
fof(f20628,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X2,and(X1,not(X0))),implies(or(implies(X0,X1),X2),and(X1,not(X0)))))
| ~ is_a_theorem(not(equiv(X0,X1))) ),
inference(paramodulation,[status(thm)],[f1295,f1203]) ).
fof(f20629,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X1,not(X0)),implies(X0,X1)),equiv(implies(X0,X1),and(X1,not(X0)))))
| ~ is_a_theorem(not(equiv(X0,X1))) ),
inference(paramodulation,[status(thm)],[f1295,f1160]) ).
fof(f20630,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(and(X0,not(X1)),not(equiv(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1295,f387]) ).
fof(f20631,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(not(equiv(X0,X1))),implies(necessarily(implies(X0,X1)),necessarily(and(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1295,f734]) ).
fof(f20632,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),implies(X1,X0)),implies(not(equiv(X1,X0)),equiv(and(X0,not(X1)),implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f1295,f508]) ).
fof(f20633,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(and(X1,not(X0)),implies(X0,X1)),equiv(implies(X0,X1),and(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1295,f508]) ).
fof(f20634,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,and(X1,not(X0))),not(equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1295,f409]) ).
fof(f20635,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(not(equiv(X1,X2)),implies(X0,and(X2,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1295,f409]) ).
fof(f20636,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(and(X1,not(X0)),X2),implies(implies(X0,X1),X2)))) ),
inference(paramodulation,[status(thm)],[f1295,f409]) ).
fof(f20637,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(X1,not(X2))),implies(not(equiv(X2,X1)),implies(or(X0,implies(X2,X1)),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1295,f475]) ).
fof(f20638,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(X2,and(X1,not(X0))),implies(or(implies(X0,X1),X2),and(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1295,f475]) ).
fof(f20639,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X0,X1),and(X1,not(X0)))),not(equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1295,f398]) ).
fof(f20641,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(and(X0,not(X1)),implies(X1,X0)),not(equiv(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1295,f497]) ).
fof(f20642,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(implies(X0,X1),and(X1,not(X0))),not(equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1295,f486]) ).
fof(f20643,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(and(X0,not(X1)),not(implies(X1,X0))),not(equiv(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1295,f1044]) ).
fof(f20644,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(and(X1,not(X0)))
| ~ is_a_theorem(not(equiv(X0,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f1295,f342]) ).
fof(f20647,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| equiv(and(X0,not(X1)),implies(X1,X0)) = and(implies(and(X0,not(X1)),implies(X1,X0)),not(equiv(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1295,f659]) ).
fof(f20648,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| equiv(implies(X0,X1),and(X1,not(X0))) = and(not(equiv(X0,X1)),implies(and(X1,not(X0)),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f1295,f659]) ).
fof(f20649,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| or(equiv(not(X0),X1),and(and(X1,not(not(X0))),not(or(X0,X1)))) = not(equiv(or(X0,X1),and(X1,not(not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20579]) ).
fof(f20650,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(equiv(X0,X1),and(and(X1,not(X0)),not(implies(X0,X1)))) = not(equiv(implies(X0,X1),and(X1,not(X0)))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20582]) ).
fof(f20680,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(or(equiv(X0,X1),implies(or(X2,and(X1,not(X0))),implies(or(implies(X0,X1),not(X2)),and(X1,not(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20606]) ).
fof(f20681,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,not(X2))),or(equiv(X2,X1),implies(or(not(X0),implies(X2,X1)),and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20608]) ).
fof(f20682,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),or(equiv(X1,X2),or(X0,and(X2,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20609]) ).
fof(f20685,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(implies(implies(and(X0,not(X1)),implies(X1,X0)),or(equiv(X1,X0),equiv(and(X0,not(X1)),implies(X1,X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20613]) ).
fof(f20686,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(or(equiv(X0,X1),implies(implies(and(X1,not(X0)),implies(X0,X1)),equiv(implies(X0,X1),and(X1,not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20614]) ).
fof(f20687,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(implies(implies(implies(X0,X1),X2),or(and(X2,implies(X1,X0)),not(equiv(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20615]) ).
fof(f20688,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(implies(implies(X0,implies(X1,X2)),or(equiv(X1,X2),implies(X0,and(X2,not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20616]) ).
fof(f20689,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(or(equiv(X0,X1),implies(implies(and(X1,not(X0)),X2),implies(implies(X0,X1),X2))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20617]) ).
fof(f20690,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),implies(not(equiv(X2,X1)),implies(or(X0,implies(X2,X1)),and(X1,not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20618]) ).
fof(f20691,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),or(equiv(X2,X1),implies(or(X0,implies(X2,X1)),and(X1,not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20690]) ).
fof(f20692,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(or(equiv(X0,X1),implies(implies(X2,and(X1,not(X0))),implies(or(implies(X0,X1),X2),and(X1,not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20619]) ).
fof(f20693,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(or(equiv(X0,X1),or(and(X2,implies(X1,X0)),implies(or(implies(X0,X1),X2),and(X1,not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20692]) ).
fof(f20694,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(implies(implies(X0,X1),not(equiv(X0,X1))),not(equiv(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f1295,f20620]) ).
fof(f20696,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(necessarily(implies(implies(implies(X0,X1),not(implies(X1,X0))),not(equiv(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f1118,f20624]) ).
fof(f20697,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(not(equiv(X0,X1)))
| ~ is_a_theorem(implies(implies(X0,X1),not(equiv(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f1295,f20625]) ).
fof(f20698,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X2,implies(X1,X0)),implies(or(implies(X0,X1),X2),and(X1,not(X0)))))
| ~ is_a_theorem(not(equiv(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20628]) ).
fof(f20699,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),implies(X1,X0)),or(equiv(X1,X0),equiv(and(X0,not(X1)),implies(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20632]) ).
fof(f20700,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ79_spl
| is_a_theorem(or(equiv(X0,X1),implies(implies(and(X1,not(X0)),implies(X0,X1)),equiv(implies(X0,X1),and(X1,not(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20633]) ).
fof(f20701,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),or(and(X2,implies(X1,X0)),not(equiv(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20634]) ).
fof(f20702,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),or(equiv(X1,X2),implies(X0,and(X2,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20635]) ).
fof(f20703,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ79_spl
| is_a_theorem(or(equiv(X0,X1),implies(implies(and(X1,not(X0)),X2),implies(implies(X0,X1),X2)))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20636]) ).
fof(f20704,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(not(equiv(X2,X1)),implies(or(X0,implies(X2,X1)),and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20637]) ).
fof(f20705,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(equiv(X2,X1),implies(or(X0,implies(X2,X1)),and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20704]) ).
fof(f20706,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(equiv(X0,X1),implies(implies(X2,and(X1,not(X0))),implies(or(implies(X0,X1),X2),and(X1,not(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20638]) ).
fof(f20707,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(equiv(X0,X1),or(and(X2,implies(X1,X0)),implies(or(implies(X0,X1),X2),and(X1,not(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20706]) ).
fof(f20708,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(implies(X0,X1),not(equiv(X0,X1))),not(equiv(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f1295,f20639]) ).
fof(f20710,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(implies(X0,X1),not(implies(X1,X0))),not(equiv(X1,X0)))) ),
inference(forward_demodulation,[status(thm)],[f1118,f20643]) ).
fof(f20726,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| or(X0,and(not(X1),not(X2))) = not(and(not(X0),or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f1047,f1296]) ).
fof(f20733,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| implies(X0,and(not(X1),possibly(necessarily(not(X2))))) = not(and(X0,or(X1,necessarily(possibly(X2))))) ),
inference(paramodulation,[status(thm)],[f1114,f1296]) ).
fof(f20734,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| implies(X0,and(not(X1),possibly(and(X2,not(X3))))) = not(and(X0,or(X1,necessarily(implies(X2,X3))))) ),
inference(paramodulation,[status(thm)],[f1117,f1296]) ).
fof(f20735,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| implies(X0,and(not(X1),possibly(X2))) = not(and(X0,or(X1,necessarily(not(X2))))) ),
inference(paramodulation,[status(thm)],[f943,f1296]) ).
fof(f20736,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| implies(X0,and(not(X1),implies(X2,and(X3,not(X4))))) = not(and(X0,or(X1,and(X2,implies(X3,X4))))) ),
inference(paramodulation,[status(thm)],[f1115,f1296]) ).
fof(f20737,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| implies(X0,and(not(X1),implies(X2,necessarily(not(X3))))) = not(and(X0,or(X1,and(X2,possibly(X3))))) ),
inference(paramodulation,[status(thm)],[f1116,f1296]) ).
fof(f20738,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| implies(X0,and(not(X1),implies(X2,X3))) = not(and(X0,or(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f645,f1296]) ).
fof(f20741,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(and(not(X0),not(X1)),possibly(X2)),not(and(necessarily(not(X2)),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1296,f1232]) ).
fof(f20742,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(necessarily(not(and(necessarily(and(not(X0),not(X1))),or(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1296,f2009]) ).
fof(f20743,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(not(and(necessarily(and(not(X0),not(X1))),or(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1296,f1967]) ).
fof(f20744,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,not(and(necessarily(and(not(X1),not(X2))),or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f1248]) ).
fof(f20745,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,not(and(necessarily(and(not(X1),not(X2))),or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f1348]) ).
fof(f20746,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(not(and(necessarily(and(not(X0),not(X1))),or(X0,X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1296,f1179]) ).
fof(f20747,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ110_spl
| is_a_theorem(necessarily(not(and(necessarily(and(not(X0),not(X1))),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1296,f1132]) ).
fof(f20748,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(possibly(not(and(necessarily(and(not(X0),not(X1))),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1296,f11304]) ).
fof(f20749,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| is_a_theorem(not(and(necessarily(and(not(X0),not(X1))),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1296,f745]) ).
fof(f20750,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(and(not(X0),not(X1)),implies(X2,X3)),not(and(and(X2,not(X3)),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1296,f1231]) ).
fof(f20751,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| is_a_theorem(not(and(and(X0,not(X0)),or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1296,f12152]) ).
fof(f20752,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,not(and(and(and(not(X1),not(X2)),X3),or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f1244]) ).
fof(f20753,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,not(and(and(X1,and(not(X2),not(X3))),or(X2,X3))))) ),
inference(paramodulation,[status(thm)],[f1296,f1245]) ).
fof(f20754,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,not(and(and(and(not(X1),not(X2)),X3),or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f1344]) ).
fof(f20755,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,not(and(and(X1,and(not(X2),not(X3))),or(X2,X3))))) ),
inference(paramodulation,[status(thm)],[f1296,f1345]) ).
fof(f20756,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(not(and(and(and(not(X0),not(X1)),X2),or(X0,X1))),X3)) ),
inference(paramodulation,[status(thm)],[f1296,f1175]) ).
fof(f20757,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(not(and(and(X0,and(not(X1),not(X2))),or(X1,X2))),X3)) ),
inference(paramodulation,[status(thm)],[f1296,f1176]) ).
fof(f20758,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(not(and(and(X0,and(not(X1),not(X2))),or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f1146]) ).
fof(f20759,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(not(and(and(and(not(X0),not(X1)),X2),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1296,f1171]) ).
fof(f20760,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| is_a_theorem(not(and(and(X0,and(not(X1),not(X2))),or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1296,f431]) ).
fof(f20761,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| is_a_theorem(not(and(and(and(not(X0),not(X1)),X2),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1296,f420]) ).
fof(f20768,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(X0,and(not(X1),not(X2))),implies(implies(X3,and(not(X1),not(X2))),not(and(or(X0,X3),or(X1,X2))))))) ),
inference(paramodulation,[status(thm)],[f1296,f1205]) ).
fof(f20769,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(not(X1),not(X2))),implies(implies(X3,and(not(X1),not(X2))),not(and(or(X0,X3),or(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1296,f475]) ).
fof(f20771,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,not(and(not(X1),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1296,f1211]) ).
fof(f20777,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(not(and(not(X0),or(X0,X0))))) ),
inference(paramodulation,[status(thm)],[f1296,f3020]) ).
fof(f20778,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(not(X0),not(and(not(X1),or(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1296,f1210]) ).
fof(f20779,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(X0),or(X0,X0)))) ),
inference(paramodulation,[status(thm)],[f1296,f519]) ).
fof(f20781,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ199_spl
| ~ is_a_theorem(not(possibly(not(and(and(not(X0),not(X1)),or(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1296,f8412]) ).
fof(f20782,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| implies(not(and(X0,or(X1,X2))),and(and(not(X1),not(X2)),not(X0))) = not(equiv(X0,and(not(X1),not(X2)))) ),
inference(paramodulation,[status(thm)],[f1296,f1295]) ).
fof(f20783,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ190_spl
| ~ is_a_theorem(not(not(and(and(not(X0),not(X1)),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1296,f3405]) ).
fof(f20784,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(and(not(X1),not(X2)),not(and(X3,or(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1296,f1251]) ).
fof(f20785,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(not(and(and(not(X0),not(X1)),or(X0,X1))))))) ),
inference(paramodulation,[status(thm)],[f1296,f3176]) ).
fof(f20786,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(and(not(X1),not(X2)),not(and(X3,or(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1296,f1354]) ).
fof(f20789,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(and(not(X0),not(X1)),not(and(X2,or(X0,X1)))),X3)) ),
inference(paramodulation,[status(thm)],[f1296,f1181]) ).
fof(f20792,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(X0,not(and(and(not(X1),not(X2)),or(X1,X2)))),X3)) ),
inference(paramodulation,[status(thm)],[f1296,f3424]) ).
fof(f20794,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(not(and(and(not(X0),not(X1)),or(X0,X1))),X2),X3)) ),
inference(paramodulation,[status(thm)],[f1296,f3311]) ).
fof(f20797,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),implies(not(and(X1,or(X2,X3))),or(X0,and(not(X2),not(X3)))))) ),
inference(paramodulation,[status(thm)],[f1296,f1287]) ).
fof(f20798,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(not(and(and(not(X1),not(X2)),or(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1296,f3179]) ).
fof(f20799,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,possibly(not(and(and(not(X1),not(X2)),or(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1296,f4858]) ).
fof(f20801,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(and(not(X0),not(X1)),not(and(X2,or(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1296,f1149]) ).
fof(f20802,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(X0,not(and(and(not(X1),not(X2)),or(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1296,f3443]) ).
fof(f20803,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ107_spl
| is_a_theorem(necessarily(implies(necessarily(not(and(X0,or(X1,X2)))),implies(necessarily(X0),necessarily(and(not(X1),not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1296,f1158]) ).
fof(f20804,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(X0,not(and(and(not(X1),not(X2)),or(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1296,f3427]) ).
fof(f20805,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(and(not(X0),not(X1)),X2),implies(not(and(X2,or(X0,X1))),equiv(and(not(X0),not(X1)),X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f1161]) ).
fof(f20806,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(not(and(X0,or(X1,X2))),implies(implies(and(not(X1),not(X2)),X0),equiv(X0,and(not(X1),not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1296,f1161]) ).
fof(f20807,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(implies(X1,and(not(X2),not(X3))),not(and(X0,or(X2,X3))))))) ),
inference(paramodulation,[status(thm)],[f1296,f1283]) ).
fof(f20809,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(not(and(X0,or(X1,X2))),implies(implies(and(not(X1),not(X2)),X3),implies(X0,X3))))) ),
inference(paramodulation,[status(thm)],[f1296,f1283]) ).
fof(f20812,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(implies(X0,implies(X0,and(not(X1),not(X2)))),not(and(X0,or(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1296,f1216]) ).
fof(f20814,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(and(not(X0),not(X1)),X2),not(and(X2,or(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1296,f1168]) ).
fof(f20815,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(not(and(and(not(X0),not(X1)),or(X0,X1))),X2))) ),
inference(paramodulation,[status(thm)],[f1296,f3314]) ).
fof(f20816,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(X0,and(not(X1),not(X2))),not(and(X0,or(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1296,f1201]) ).
fof(f20817,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(or(and(not(X0),not(X1)),not(X2)),not(and(X2,or(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1296,f1230]) ).
fof(f20818,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(not(and(and(not(X1),not(X2)),or(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1296,f3178]) ).
fof(f20819,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,possibly(not(and(and(not(X1),not(X2)),or(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1296,f4859]) ).
fof(f20820,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(not(and(and(not(X0),not(X1)),or(X0,X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f1296,f3177]) ).
fof(f20821,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(possibly(not(and(and(not(X0),not(X1)),or(X0,X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f1296,f4860]) ).
fof(f20822,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(not(and(and(not(X0),not(X1)),or(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1296,f3180]) ).
fof(f20823,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(not(and(and(not(X0),not(X1)),or(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1296,f3029]) ).
fof(f20824,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(not(X1),not(X2))))
| ~ is_a_theorem(implies(X0,not(and(X0,or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f1214]) ).
fof(f20825,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(necessarily(not(and(and(not(X0),not(X1)),or(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1296,f11128]) ).
fof(f20826,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(X0),necessarily(and(not(X1),not(X2)))))
| ~ is_a_theorem(necessarily(not(and(X0,or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f1157]) ).
fof(f20827,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(and(not(X1),not(X2)),X3),implies(X0,X3)))
| ~ is_a_theorem(not(and(X0,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1296,f1280]) ).
fof(f20828,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X3,and(not(X1),not(X2))),implies(or(X0,X3),and(not(X1),not(X2)))))
| ~ is_a_theorem(not(and(X0,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1296,f1203]) ).
fof(f20829,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(not(X1),not(X2)),X0),equiv(X0,and(not(X1),not(X2)))))
| ~ is_a_theorem(not(and(X0,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1296,f1160]) ).
fof(f20830,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,not(and(and(not(X1),not(X2)),or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f3032]) ).
fof(f20831,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,not(and(and(not(X1),not(X2)),or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f3031]) ).
fof(f20832,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(not(and(and(not(X0),not(X1)),or(X0,X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1296,f3030]) ).
fof(f20833,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(not(and(and(not(X0),not(X1)),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1296,f3033]) ).
fof(f20834,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(not(and(and(not(X0),not(X1)),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1296,f4848]) ).
fof(f20835,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| is_a_theorem(not(and(and(not(X0),not(X1)),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1296,f3447]) ).
fof(f20836,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(and(not(X0),not(X1)),not(and(X2,or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1296,f387]) ).
fof(f20837,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(not(and(X0,or(X1,X2)))),implies(necessarily(X0),necessarily(and(not(X1),not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1296,f734]) ).
fof(f20838,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(not(X0),not(X1)),X2),implies(not(and(X2,or(X0,X1))),equiv(and(not(X0),not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f1296,f508]) ).
fof(f20839,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(not(and(X0,or(X1,X2))),implies(implies(and(not(X1),not(X2)),X0),equiv(X0,and(not(X1),not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1296,f508]) ).
fof(f20840,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,and(not(X2),not(X3))),not(and(X0,or(X2,X3)))))) ),
inference(paramodulation,[status(thm)],[f1296,f409]) ).
fof(f20842,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(not(and(X0,or(X1,X2))),implies(implies(and(not(X1),not(X2)),X3),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f1296,f409]) ).
fof(f20845,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,implies(X0,and(not(X1),not(X2)))),not(and(X0,or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f398]) ).
fof(f20847,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(and(not(X0),not(X1)),X2),not(and(X2,or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1296,f497]) ).
fof(f20848,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(X0,and(not(X1),not(X2))),not(and(X0,or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f486]) ).
fof(f20849,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(and(not(X0),not(X1)),not(X2)),not(and(X2,or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1296,f1044]) ).
fof(f20850,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(and(not(X1),not(X2)))
| ~ is_a_theorem(not(and(X0,or(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(paramodulation,[status(thm)],[f1296,f342]) ).
fof(f20853,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(and(not(X0),not(X1)),X2) = and(implies(and(not(X0),not(X1)),X2),not(and(X2,or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f1296,f659]) ).
fof(f20854,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(X0,and(not(X1),not(X2))) = and(not(and(X0,or(X1,X2))),implies(and(not(X1),not(X2)),X0)) ),
inference(paramodulation,[status(thm)],[f1296,f659]) ).
fof(f20860,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,or(X1,not(X0))),implies(not(and(not(X1),or(X1,not(X0)))),not(equiv(not(X0),not(X1)))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f20510]) ).
fof(f20861,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(not(and(not(X1),or(X1,X1))),X0))) ),
inference(backward_demodulation,[status(thm)],[f20726,f3330]) ).
fof(f20862,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,not(and(not(X1),or(X1,X1))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f3334]) ).
fof(f20863,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),not(and(not(X1),or(X1,X1))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7753]) ).
fof(f20864,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),not(and(not(X2),or(X2,X2))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7200]) ).
fof(f20865,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),not(and(not(X2),or(X2,X2))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7199]) ).
fof(f20866,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),not(and(not(X2),or(X2,X2))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7197]) ).
fof(f20867,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),not(and(not(X2),or(X2,X2))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7198]) ).
fof(f20868,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),not(and(not(X1),or(X1,X1))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7201]) ).
fof(f20869,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),not(and(not(X1),or(X1,X1))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7202]) ).
fof(f20870,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),not(and(not(X2),or(X2,X2))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7191]) ).
fof(f20871,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),not(and(not(X3),or(X3,X3))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7193]) ).
fof(f20872,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),not(and(not(X3),or(X3,X3))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7192]) ).
fof(f20873,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),not(and(not(X2),or(X2,X2))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7190]) ).
fof(f20874,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),not(and(not(X2),or(X2,X2))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7194]) ).
fof(f20875,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),not(and(not(X2),or(X2,X2))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7195]) ).
fof(f20876,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),not(and(not(X2),or(X2,X2))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7196]) ).
fof(f20877,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),X0),not(and(not(X1),or(X1,X1))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7187]) ).
fof(f20878,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),not(and(not(X1),or(X1,X1))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7186]) ).
fof(f20879,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),not(and(not(X2),or(X2,X2))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7185]) ).
fof(f20880,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),not(and(not(X2),or(X2,X2))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7188]) ).
fof(f20881,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),not(and(not(X2),or(X2,X2))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7189]) ).
fof(f20882,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X1),or(X1,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(backward_demodulation,[status(thm)],[f20726,f3329]) ).
fof(f20883,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,and(not(X0),not(X0))),not(and(not(X0),or(X0,X0))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f3328]) ).
fof(f20884,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),not(and(not(X1),or(X1,X1))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f7518]) ).
fof(f20885,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(not(and(not(X0),or(X0,X0)))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f3331]) ).
fof(f20887,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(not(and(not(X1),or(X1,X1))),not(X0)))) ),
inference(backward_demodulation,[status(thm)],[f20726,f12545]) ).
fof(f20888,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(and(not(X1),or(X1,X1))))) ),
inference(backward_demodulation,[status(thm)],[f20726,f3333]) ).
fof(f20890,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(not(X0),or(X0,X0))),X1)) ),
inference(backward_demodulation,[status(thm)],[f20726,f3332]) ).
fof(f20895,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(not(X0),X1),possibly(X2)),not(and(necessarily(not(X2)),or(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f1118,f20741]) ).
fof(f20896,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(or(X0,X1),possibly(X2)),not(and(necessarily(not(X2)),or(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20895]) ).
fof(f20897,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(not(X0),X1),implies(X2,X3)),not(and(and(X2,not(X3)),or(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f1118,f20750]) ).
fof(f20898,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(or(X0,X1),implies(X2,X3)),not(and(and(X2,not(X3)),or(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20897]) ).
fof(f20909,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(or(and(X0,implies(not(X1),X2)),implies(implies(X3,and(not(X1),not(X2))),not(and(or(X0,X3),or(X1,X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20768]) ).
fof(f20910,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(or(and(X0,or(X1,X2)),implies(implies(X3,and(not(X1),not(X2))),not(and(or(X0,X3),or(X1,X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20909]) ).
fof(f20911,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(or(and(X0,or(X1,X2)),or(and(X3,implies(not(X1),X2)),not(and(or(X0,X3),or(X1,X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20910]) ).
fof(f20912,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(or(and(X0,or(X1,X2)),or(and(X3,or(X1,X2)),not(and(or(X0,X3),or(X1,X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20911]) ).
fof(f20913,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(not(X1),X2)),implies(implies(X3,and(not(X1),not(X2))),not(and(or(X0,X3),or(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20769]) ).
fof(f20914,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,or(X1,X2)),implies(implies(X3,and(not(X1),not(X2))),not(and(or(X0,X3),or(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20913]) ).
fof(f20915,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,or(X1,X2)),or(and(X3,implies(not(X1),X2)),not(and(or(X0,X3),or(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20914]) ).
fof(f20916,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,or(X1,X2)),or(and(X3,or(X1,X2)),not(and(or(X0,X3),or(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20915]) ).
fof(f20924,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(or(X0,not(and(not(X1),or(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20778]) ).
fof(f20926,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| or(and(X0,or(X1,X2)),and(and(not(X1),not(X2)),not(X0))) = not(equiv(X0,and(not(X1),not(X2)))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20782]) ).
fof(f20957,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),or(and(X1,or(X2,X3)),or(X0,and(not(X2),not(X3)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20797]) ).
fof(f20958,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),or(and(X1,or(X2,X3)),not(and(not(X0),or(X2,X3)))))) ),
inference(forward_demodulation,[status(thm)],[f20726,f20957]) ).
fof(f20961,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(and(not(X0),not(X1)),X2),or(and(X2,or(X0,X1)),equiv(and(not(X0),not(X1)),X2))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20805]) ).
fof(f20962,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(or(and(X0,or(X1,X2)),implies(implies(and(not(X1),not(X2)),X0),equiv(X0,and(not(X1),not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20806]) ).
fof(f20963,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),or(and(X1,implies(not(X2),X3)),not(and(X0,or(X2,X3))))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20807]) ).
fof(f20964,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),or(and(X1,or(X2,X3)),not(and(X0,or(X2,X3))))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20963]) ).
fof(f20967,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(or(and(X0,or(X1,X2)),implies(implies(and(not(X1),not(X2)),X3),implies(X0,X3))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20809]) ).
fof(f20976,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(implies(implies(X0,not(and(X0,or(X1,X2)))),not(and(X0,or(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1296,f20812]) ).
fof(f20978,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(implies(implies(not(X0),X1),not(X2)),not(and(X2,or(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1118,f20817]) ).
fof(f20979,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ10_spl
| is_a_theorem(necessarily(implies(implies(or(X0,X1),not(X2)),not(and(X2,or(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20978]) ).
fof(f20980,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ164_spl
| is_a_theorem(implies(possibly(and(and(not(X0),not(X1)),or(X0,X1))),X2)) ),
inference(forward_demodulation,[status(thm)],[f1119,f20820]) ).
fof(f20981,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(not(and(X0,or(X1,X2))))
| ~ is_a_theorem(implies(X0,not(and(X0,or(X1,X2))))) ),
inference(forward_demodulation,[status(thm)],[f1296,f20824]) ).
fof(f20982,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X3,implies(not(X1),X2)),implies(or(X0,X3),and(not(X1),not(X2)))))
| ~ is_a_theorem(not(and(X0,or(X1,X2)))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20828]) ).
fof(f20983,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X3,or(X1,X2)),implies(or(X0,X3),and(not(X1),not(X2)))))
| ~ is_a_theorem(not(and(X0,or(X1,X2)))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20982]) ).
fof(f20984,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X3,or(X1,X2)),not(and(or(X0,X3),or(X1,X2)))))
| ~ is_a_theorem(not(and(X0,or(X1,X2)))) ),
inference(forward_demodulation,[status(thm)],[f1296,f20983]) ).
fof(f20985,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(not(X0),not(X1)),X2),or(and(X2,or(X0,X1)),equiv(and(not(X0),not(X1)),X2)))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20838]) ).
fof(f20986,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(or(and(X0,or(X1,X2)),implies(implies(and(not(X1),not(X2)),X0),equiv(X0,and(not(X1),not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20839]) ).
fof(f20987,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(and(X1,implies(not(X2),X3)),not(and(X0,or(X2,X3)))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f20840]) ).
fof(f20988,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(and(X1,or(X2,X3)),not(and(X0,or(X2,X3)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20987]) ).
fof(f20991,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(or(and(X0,or(X1,X2)),implies(implies(and(not(X1),not(X2)),X3),implies(X0,X3)))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20842]) ).
fof(f21000,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,not(and(X0,or(X1,X2)))),not(and(X0,or(X1,X2))))) ),
inference(forward_demodulation,[status(thm)],[f1296,f20845]) ).
fof(f21002,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(not(X0),X1),not(X2)),not(and(X2,or(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f1118,f20849]) ).
fof(f21003,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(or(X0,X1),not(X2)),not(and(X2,or(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f21002]) ).
fof(f21008,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,or(X1,not(X0))),or(and(not(X1),or(X1,not(X0))),not(equiv(not(X0),not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f20860]) ).
fof(f21009,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),not(and(not(X0),or(X0,X0))))) ),
inference(forward_demodulation,[status(thm)],[f20726,f20883]) ).
fof(f21010,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(not(and(not(X0),or(and(not(X1),or(X1,X1)),X0)))) ),
inference(forward_demodulation,[status(thm)],[f20726,f20887]) ).
fof(f21018,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ184_spl
| ~ is_a_theorem(not(not(and(necessarily(and(not(X0),not(X1))),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1296,f2084]) ).
fof(f21027,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f2391,f1175]) ).
fof(f21028,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f2391,f1176]) ).
fof(f21029,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f2391,f1179]) ).
fof(f21031,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f2391,f1182]) ).
fof(f21032,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f2391,f1183]) ).
fof(f21044,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X3,not(X4)),and(X0,implies(X1,necessarily(not(X2))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(X3,X4))) ),
inference(paramodulation,[status(thm)],[f1368,f2391]) ).
fof(f21045,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X4,not(X5)),and(X0,implies(X1,and(X2,not(X3))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(X4,X5))) ),
inference(paramodulation,[status(thm)],[f1369,f2391]) ).
fof(f21046,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X3,not(X4)),and(X0,possibly(and(X1,not(X2))))))
| ~ is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(X3,X4))) ),
inference(paramodulation,[status(thm)],[f1371,f2391]) ).
fof(f21047,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X2,not(X3)),and(X0,possibly(necessarily(not(X1))))))
| ~ is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(X2,X3))) ),
inference(paramodulation,[status(thm)],[f1372,f2391]) ).
fof(f21049,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X2,not(X3)),necessarily(possibly(and(X0,not(X1))))))
| ~ is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),implies(X2,X3))) ),
inference(paramodulation,[status(thm)],[f1384,f2391]) ).
fof(f21050,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X1,not(X2)),necessarily(possibly(necessarily(not(X0))))))
| ~ is_a_theorem(implies(possibly(necessarily(possibly(X0))),implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f1385,f2391]) ).
fof(f21051,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X2,not(X3)),necessarily(implies(X0,necessarily(not(X1))))))
| ~ is_a_theorem(implies(possibly(and(X0,possibly(X1))),implies(X2,X3))) ),
inference(paramodulation,[status(thm)],[f1381,f2391]) ).
fof(f21052,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X3,not(X4)),necessarily(implies(X0,and(X1,not(X2))))))
| ~ is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),implies(X3,X4))) ),
inference(paramodulation,[status(thm)],[f1382,f2391]) ).
fof(f21055,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(implies(X1,and(X2,not(X3))),not(X4)),X0))
| ~ is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),X4))) ),
inference(paramodulation,[status(thm)],[f1298,f2391]) ).
fof(f21056,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(implies(X1,necessarily(not(X2))),not(X3)),X0))
| ~ is_a_theorem(or(X0,or(and(X1,possibly(X2)),X3))) ),
inference(paramodulation,[status(thm)],[f1304,f2391]) ).
fof(f21058,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(possibly(necessarily(not(X1))),not(X2)),X0))
| ~ is_a_theorem(or(X0,or(necessarily(possibly(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f1290,f2391]) ).
fof(f21059,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(possibly(and(X1,not(X2))),not(X3)),X0))
| ~ is_a_theorem(or(X0,or(necessarily(implies(X1,X2)),X3))) ),
inference(paramodulation,[status(thm)],[f1317,f2391]) ).
fof(f21076,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f2986,f1175]) ).
fof(f21077,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f2986,f1176]) ).
fof(f21078,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f2986,f1179]) ).
fof(f21080,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f2986,f1182]) ).
fof(f21081,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f2986,f1183]) ).
fof(f21088,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X3,possibly(X4)),and(X0,implies(X1,necessarily(not(X2))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(X3,necessarily(not(X4))))) ),
inference(paramodulation,[status(thm)],[f1368,f2986]) ).
fof(f21089,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X4,possibly(X5)),and(X0,implies(X1,and(X2,not(X3))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(X4,necessarily(not(X5))))) ),
inference(paramodulation,[status(thm)],[f1369,f2986]) ).
fof(f21090,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X3,possibly(X4)),and(X0,possibly(and(X1,not(X2))))))
| ~ is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(X3,necessarily(not(X4))))) ),
inference(paramodulation,[status(thm)],[f1371,f2986]) ).
fof(f21091,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X2,possibly(X3)),and(X0,possibly(necessarily(not(X1))))))
| ~ is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(X2,necessarily(not(X3))))) ),
inference(paramodulation,[status(thm)],[f1372,f2986]) ).
fof(f21093,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X2,possibly(X3)),necessarily(possibly(and(X0,not(X1))))))
| ~ is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),implies(X2,necessarily(not(X3))))) ),
inference(paramodulation,[status(thm)],[f1384,f2986]) ).
fof(f21094,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X1,possibly(X2)),necessarily(possibly(necessarily(not(X0))))))
| ~ is_a_theorem(implies(possibly(necessarily(possibly(X0))),implies(X1,necessarily(not(X2))))) ),
inference(paramodulation,[status(thm)],[f1385,f2986]) ).
fof(f21095,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X2,possibly(X3)),necessarily(implies(X0,necessarily(not(X1))))))
| ~ is_a_theorem(implies(possibly(and(X0,possibly(X1))),implies(X2,necessarily(not(X3))))) ),
inference(paramodulation,[status(thm)],[f1381,f2986]) ).
fof(f21096,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X3,possibly(X4)),necessarily(implies(X0,and(X1,not(X2))))))
| ~ is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),implies(X3,necessarily(not(X4))))) ),
inference(paramodulation,[status(thm)],[f1382,f2986]) ).
fof(f21098,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(implies(X1,and(X2,not(X3))),possibly(X4)),X0))
| ~ is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),necessarily(not(X4))))) ),
inference(paramodulation,[status(thm)],[f1298,f2986]) ).
fof(f21099,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(implies(X1,necessarily(not(X2))),possibly(X3)),X0))
| ~ is_a_theorem(or(X0,or(and(X1,possibly(X2)),necessarily(not(X3))))) ),
inference(paramodulation,[status(thm)],[f1304,f2986]) ).
fof(f21100,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(possibly(necessarily(not(X1))),possibly(X2)),X0))
| ~ is_a_theorem(or(X0,or(necessarily(possibly(X1)),necessarily(not(X2))))) ),
inference(paramodulation,[status(thm)],[f1290,f2986]) ).
fof(f21101,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(possibly(and(X1,not(X2))),possibly(X3)),X0))
| ~ is_a_theorem(or(X0,or(necessarily(implies(X1,X2)),necessarily(not(X3))))) ),
inference(paramodulation,[status(thm)],[f1317,f2986]) ).
fof(f21117,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(and(X3,X4),X3))) ),
inference(resolution,[status(thm)],[f2987,f1175]) ).
fof(f21118,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(and(X3,X4),X4))) ),
inference(resolution,[status(thm)],[f2987,f1176]) ).
fof(f21119,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(necessarily(X3),X3))) ),
inference(resolution,[status(thm)],[f2987,f1179]) ).
fof(f21121,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(X3,or(X4,X3)))) ),
inference(resolution,[status(thm)],[f2987,f1182]) ).
fof(f21122,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(X3,or(X3,X4)))) ),
inference(resolution,[status(thm)],[f2987,f1183]) ).
fof(f21130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X3,implies(X4,X5)),and(X0,implies(X1,necessarily(not(X2))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(X3,and(X4,not(X5))))) ),
inference(paramodulation,[status(thm)],[f1368,f2987]) ).
fof(f21131,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X4,implies(X5,X6)),and(X0,implies(X1,and(X2,not(X3))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(X4,and(X5,not(X6))))) ),
inference(paramodulation,[status(thm)],[f1369,f2987]) ).
fof(f21132,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X3,implies(X4,X5)),and(X0,possibly(and(X1,not(X2))))))
| ~ is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(X3,and(X4,not(X5))))) ),
inference(paramodulation,[status(thm)],[f1371,f2987]) ).
fof(f21133,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X2,implies(X3,X4)),and(X0,possibly(necessarily(not(X1))))))
| ~ is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(X2,and(X3,not(X4))))) ),
inference(paramodulation,[status(thm)],[f1372,f2987]) ).
fof(f21135,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X2,implies(X3,X4)),necessarily(possibly(and(X0,not(X1))))))
| ~ is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),implies(X2,and(X3,not(X4))))) ),
inference(paramodulation,[status(thm)],[f1384,f2987]) ).
fof(f21136,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X1,implies(X2,X3)),necessarily(possibly(necessarily(not(X0))))))
| ~ is_a_theorem(implies(possibly(necessarily(possibly(X0))),implies(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f1385,f2987]) ).
fof(f21137,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X2,implies(X3,X4)),necessarily(implies(X0,necessarily(not(X1))))))
| ~ is_a_theorem(implies(possibly(and(X0,possibly(X1))),implies(X2,and(X3,not(X4))))) ),
inference(paramodulation,[status(thm)],[f1381,f2987]) ).
fof(f21138,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X3,implies(X4,X5)),necessarily(implies(X0,and(X1,not(X2))))))
| ~ is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),implies(X3,and(X4,not(X5))))) ),
inference(paramodulation,[status(thm)],[f1382,f2987]) ).
fof(f21141,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(implies(X1,and(X2,not(X3))),implies(X4,X5)),X0))
| ~ is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),and(X4,not(X5))))) ),
inference(paramodulation,[status(thm)],[f1298,f2987]) ).
fof(f21142,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(implies(X1,necessarily(not(X2))),implies(X3,X4)),X0))
| ~ is_a_theorem(or(X0,or(and(X1,possibly(X2)),and(X3,not(X4))))) ),
inference(paramodulation,[status(thm)],[f1304,f2987]) ).
fof(f21144,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(possibly(necessarily(not(X1))),implies(X2,X3)),X0))
| ~ is_a_theorem(or(X0,or(necessarily(possibly(X1)),and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f1290,f2987]) ).
fof(f21145,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(possibly(and(X1,not(X2))),implies(X3,X4)),X0))
| ~ is_a_theorem(or(X0,or(necessarily(implies(X1,X2)),and(X3,not(X4))))) ),
inference(paramodulation,[status(thm)],[f1317,f2987]) ).
fof(f21205,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X2,and(X1,not(not(X0)))),implies(or(or(X0,X1),not(X2)),and(X1,not(not(X0))))))
| ~ is_a_theorem(not(equiv(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f1428,f2764]) ).
fof(f21206,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X4,X3),implies(or(implies(X0,and(X1,not(X2))),not(X4)),X3)))
| ~ is_a_theorem(or(and(X0,implies(X1,X2)),X3)) ),
inference(paramodulation,[status(thm)],[f1298,f2764]) ).
fof(f21207,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X3,X2),implies(or(implies(X0,necessarily(not(X1))),not(X3)),X2)))
| ~ is_a_theorem(or(and(X0,possibly(X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1304,f2764]) ).
fof(f21208,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X2,and(X1,not(X0))),implies(or(implies(X0,X1),not(X2)),and(X1,not(X0)))))
| ~ is_a_theorem(not(equiv(X0,X1))) ),
inference(paramodulation,[status(thm)],[f1295,f2764]) ).
fof(f21209,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X2,X1),implies(or(possibly(necessarily(not(X0))),not(X2)),X1)))
| ~ is_a_theorem(or(necessarily(possibly(X0)),X1)) ),
inference(paramodulation,[status(thm)],[f1290,f2764]) ).
fof(f21210,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X3,X2),implies(or(possibly(and(X0,not(X1))),not(X3)),X2)))
| ~ is_a_theorem(or(necessarily(implies(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f1317,f2764]) ).
fof(f21241,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ185_spl
| ~ is_a_theorem(not(not(and(and(and(not(X0),not(X1)),X2),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1296,f3057]) ).
fof(f21254,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ188_spl
| ~ is_a_theorem(not(or(and(X0,implies(X1,X2)),or(X3,implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1298,f3070]) ).
fof(f21279,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ206_spl
| ~ is_a_theorem(not(or(X0,or(and(X1,implies(X2,X3)),implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1298,f12932]) ).
fof(f21284,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ206_spl
| ~ is_a_theorem(not(or(X0,not(and(and(not(X1),not(X2)),or(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f1296,f12932]) ).
fof(f21285,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ187_spl
| ~ is_a_theorem(not(or(and(X0,implies(X1,X2)),implies(X3,implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1298,f3066]) ).
fof(f21293,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ187_spl
| ~ is_a_theorem(not(implies(and(X0,not(X1)),not(equiv(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f1295,f3066]) ).
fof(f21296,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ187_spl
| ~ is_a_theorem(not(implies(X0,or(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f3066]) ).
fof(f21297,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ187_spl
| ~ is_a_theorem(not(implies(and(not(X0),not(X1)),not(and(X2,or(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1296,f3066]) ).
fof(f21302,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,not(X0)),equiv(not(X0),not(X0)))) ),
inference(resolution,[status(thm)],[f2637,f3447]) ).
fof(f21303,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X3,implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),not(X3))))
| ~ is_a_theorem(or(and(X0,implies(X1,X2)),not(X3))) ),
inference(paramodulation,[status(thm)],[f1298,f2637]) ).
fof(f21304,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X2,implies(X0,necessarily(not(X1)))),equiv(implies(X0,necessarily(not(X1))),not(X2))))
| ~ is_a_theorem(or(and(X0,possibly(X1)),not(X2))) ),
inference(paramodulation,[status(thm)],[f1304,f2637]) ).
fof(f21305,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X1,possibly(necessarily(not(X0)))),equiv(possibly(necessarily(not(X0))),not(X1))))
| ~ is_a_theorem(or(necessarily(possibly(X0)),not(X1))) ),
inference(paramodulation,[status(thm)],[f1290,f2637]) ).
fof(f21306,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X2,possibly(and(X0,not(X1)))),equiv(possibly(and(X0,not(X1))),not(X2))))
| ~ is_a_theorem(or(necessarily(implies(X0,X1)),not(X2))) ),
inference(paramodulation,[status(thm)],[f1317,f2637]) ).
fof(f21323,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(necessarily(implies(X1,X1)))),equiv(not(necessarily(implies(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f2432,f3177]) ).
fof(f21324,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(or(equiv(X1,X1),X2))),equiv(not(or(equiv(X1,X1),X2)),X0))) ),
inference(resolution,[status(thm)],[f2432,f4557]) ).
fof(f21346,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(and(X0,X1),X0),not(X2)),equiv(not(X2),implies(and(X0,X1),X0)))) ),
inference(resolution,[status(thm)],[f2432,f1344]) ).
fof(f21347,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(and(X0,X1),X1),not(X2)),equiv(not(X2),implies(and(X0,X1),X1)))) ),
inference(resolution,[status(thm)],[f2432,f1345]) ).
fof(f21348,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(necessarily(X0),X0),not(X1)),equiv(not(X1),implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f2432,f1348]) ).
fof(f21350,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,or(X1,X0)),not(X2)),equiv(not(X2),implies(X0,or(X1,X0))))) ),
inference(resolution,[status(thm)],[f2432,f1355]) ).
fof(f21351,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,or(X0,X1)),not(X2)),equiv(not(X2),implies(X0,or(X0,X1))))) ),
inference(resolution,[status(thm)],[f2432,f1356]) ).
fof(f21356,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(not(X0),not(X0)),equiv(not(X0),not(X0)))) ),
inference(resolution,[status(thm)],[f2432,f3034]) ).
fof(f21369,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,not(X0)),equiv(not(X0),not(X0)))) ),
inference(forward_demodulation,[status(thm)],[f1047,f21356]) ).
fof(f21414,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(and(X2,X3),X2),X1))) ),
inference(resolution,[status(thm)],[f2485,f1175]) ).
fof(f21415,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(and(X2,X3),X3),X1))) ),
inference(resolution,[status(thm)],[f2485,f1176]) ).
fof(f21416,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(necessarily(X2),X2),X1))) ),
inference(resolution,[status(thm)],[f2485,f1179]) ).
fof(f21418,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(X2,or(X3,X2)),X1))) ),
inference(resolution,[status(thm)],[f2485,f1182]) ).
fof(f21419,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(X2,or(X2,X3)),X1))) ),
inference(resolution,[status(thm)],[f2485,f1183]) ).
fof(f21440,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(not(X0),X1),or(X0,X1))) ),
inference(resolution,[status(thm)],[f2485,f3034]) ).
fof(f21451,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),or(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f1047,f21440]) ).
fof(f21463,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(necessarily(implies(X2,X2))),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f3177]) ).
fof(f21464,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(or(equiv(X2,X2),X3)),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f4557]) ).
fof(f21486,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(and(X1,X2),X1)),implies(or(not(X3),X0),implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f2544,f1344]) ).
fof(f21487,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(and(X1,X2),X2)),implies(or(not(X3),X0),implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f2544,f1345]) ).
fof(f21488,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(necessarily(X1),X1)),implies(or(not(X2),X0),implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f2544,f1348]) ).
fof(f21490,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,or(X2,X1))),implies(or(not(X3),X0),implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f2544,f1355]) ).
fof(f21491,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,or(X1,X2))),implies(or(not(X3),X0),implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f2544,f1356]) ).
fof(f21526,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ204_spl
| ~ is_a_theorem(not(or(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))),X3))) ),
inference(paramodulation,[status(thm)],[f1298,f11820]) ).
fof(f21531,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ204_spl
| ~ is_a_theorem(not(or(not(and(and(not(X0),not(X1)),or(X0,X1))),X2))) ),
inference(paramodulation,[status(thm)],[f1296,f11820]) ).
fof(f21540,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f2989,f1175]) ).
fof(f21541,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f2989,f1176]) ).
fof(f21542,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f2989,f1179]) ).
fof(f21544,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f2989,f1182]) ).
fof(f21545,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f2989,f1183]) ).
fof(f21548,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(necessarily(implies(X3,X4)),and(X0,implies(X1,necessarily(not(X2))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),possibly(and(X3,not(X4))))) ),
inference(paramodulation,[status(thm)],[f1368,f2989]) ).
fof(f21549,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(necessarily(implies(X4,X5)),and(X0,implies(X1,and(X2,not(X3))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),possibly(and(X4,not(X5))))) ),
inference(paramodulation,[status(thm)],[f1369,f2989]) ).
fof(f21550,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(necessarily(implies(X3,X4)),and(X0,possibly(and(X1,not(X2))))))
| ~ is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),possibly(and(X3,not(X4))))) ),
inference(paramodulation,[status(thm)],[f1371,f2989]) ).
fof(f21551,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(necessarily(implies(X2,X3)),and(X0,possibly(necessarily(not(X1))))))
| ~ is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),possibly(and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f1372,f2989]) ).
fof(f21553,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(necessarily(implies(X2,X3)),necessarily(possibly(and(X0,not(X1))))))
| ~ is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),possibly(and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f1384,f2989]) ).
fof(f21554,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(necessarily(implies(X1,X2)),necessarily(possibly(necessarily(not(X0))))))
| ~ is_a_theorem(implies(possibly(necessarily(possibly(X0))),possibly(and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1385,f2989]) ).
fof(f21555,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(necessarily(implies(X2,X3)),necessarily(implies(X0,necessarily(not(X1))))))
| ~ is_a_theorem(implies(possibly(and(X0,possibly(X1))),possibly(and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f1381,f2989]) ).
fof(f21556,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(necessarily(implies(X3,X4)),necessarily(implies(X0,and(X1,not(X2))))))
| ~ is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),possibly(and(X3,not(X4))))) ),
inference(paramodulation,[status(thm)],[f1382,f2989]) ).
fof(f21566,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ186_spl
| ~ is_a_theorem(not(not(and(and(X0,and(not(X1),not(X2))),or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f3061]) ).
fof(f21579,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ189_spl
| ~ is_a_theorem(not(or(and(X0,implies(X1,X2)),or(implies(X0,and(X1,not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f3074]) ).
fof(f21599,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(or(X2,equiv(X3,X3))),X0),X1))) ),
inference(resolution,[status(thm)],[f4563,f2544]) ).
fof(f21601,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(implies(X0,not(or(X1,equiv(X2,X2)))),equiv(not(or(X1,equiv(X2,X2))),X0))) ),
inference(resolution,[status(thm)],[f4563,f2432]) ).
fof(f21602,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f4563,f1122]) ).
fof(f21603,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(or(X1,equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4563,f3015]) ).
fof(f21604,plain,
! [X0,X1,X2,X3] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(or(X1,equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4563,f1885]) ).
fof(f21605,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4563,f1884]) ).
fof(f21606,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4563,f1883]) ).
fof(f21607,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4563,f1882]) ).
fof(f21608,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4563,f1881]) ).
fof(f21609,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4563,f1880]) ).
fof(f21610,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4563,f1879]) ).
fof(f21611,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4563,f1878]) ).
fof(f21612,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(or(X3,equiv(X4,X4)),X5))) ),
inference(resolution,[status(thm)],[f4563,f1877]) ).
fof(f21613,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(or(X3,equiv(X4,X4)),X5))) ),
inference(resolution,[status(thm)],[f4563,f1876]) ).
fof(f21614,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4563,f1875]) ).
fof(f21615,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4563,f1874]) ).
fof(f21616,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4563,f1873]) ).
fof(f21617,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4563,f1872]) ).
fof(f21618,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(or(X1,equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4563,f1871]) ).
fof(f21619,plain,
! [X0,X1,X2,X3] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(or(X1,equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4563,f1870]) ).
fof(f21620,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f4563,f1869]) ).
fof(f21621,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(or(or(X1,equiv(X2,X2)),X3),X0))) ),
inference(resolution,[status(thm)],[f4563,f1208]) ).
fof(f21622,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(or(or(X0,equiv(X1,X1)),X2)))) ),
inference(resolution,[status(thm)],[f4563,f1152]) ).
fof(f21623,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(or(or(X0,equiv(X1,X1)),X2),or(or(X0,equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4563,f3013]) ).
fof(f21624,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(or(X0,equiv(X1,X1)),X2),X3)) ),
inference(resolution,[status(thm)],[f4563,f1142]) ).
fof(f21625,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,or(or(X1,equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4563,f1164]) ).
fof(f21626,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,or(or(X1,equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f4563,f1148]) ).
fof(f21627,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(or(or(X1,equiv(X2,X2)),X3),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4563,f700]) ).
fof(f21628,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(or(X0,equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4563,f666]) ).
fof(f21639,definition,
! [X0,X1] :
( sQ208_spl
<=> ~ is_a_theorem(not(or(X0,equiv(X1,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f21640,plain,
! [X0,X1] :
( ~ sQ208_spl
| ~ is_a_theorem(not(or(X0,equiv(X1,X1)))) ),
inference(component_clause,[status(thm)],[f21639]) ).
fof(f21642,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ173_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f21602,f21639,f1459,f658,f518,f397,f386,f463,f452,f341,f644,f630]) ).
fof(f21643,plain,
( sQ94_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f686,f1460]) ).
fof(f21644,plain,
( sQ100_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f709,f1460]) ).
fof(f21645,plain,
( sQ99_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f705,f1460]) ).
fof(f21646,plain,
( ~ sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(sK43_skl,sK43_skl),sK43_skl)) ),
inference(forward_demodulation,[status(thm)],[f1047,f572]) ).
fof(f21647,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)],[f1047,f542]) ).
fof(f21648,plain,
( sQ94_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f21643]) ).
fof(f21657,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_implies(sK57_skl,sK56_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f700,f689]) ).
fof(f21660,plain,
( ~ sQ95_spl
| ~ sQ93_spl
| is_a_theorem(sK56_skl)
| ~ is_a_theorem(sK57_skl) ),
inference(resolution,[status(thm)],[f681,f689]) ).
fof(f21661,plain,
( ~ sQ95_spl
| ~ sQ93_spl
| sQ96_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f21660,f684,f692,f680,f688]) ).
fof(f21662,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),not(and(not(X0),or(X0,X0))))) ),
inference(forward_demodulation,[status(thm)],[f20726,f7184]) ).
fof(f21667,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ113_spl
| is_a_theorem(necessarily(necessarily(X0)))
| ~ is_a_theorem(necessarily(X0)) ),
inference(resolution,[status(thm)],[f756,f342]) ).
fof(f21676,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f659,f431]) ).
fof(f21680,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f659,f420]) ).
fof(f21729,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f659,f519]) ).
fof(f21744,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)],[f659,f442]) ).
fof(f21749,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1047,f387]) ).
fof(f21754,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ191_spl
| is_a_theorem(necessarily(implies(X0,X0))) ),
inference(resolution,[status(thm)],[f3447,f666]) ).
fof(f21755,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ191_spl
| is_a_theorem(and(implies(X1,X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3447,f700]) ).
fof(f21756,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(paramodulation,[status(thm)],[f1047,f3447]) ).
fof(f21767,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f3033,f1131]) ).
fof(f21773,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,not(X1)),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f645,f3034]) ).
fof(f21774,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(not(X0)),possibly(X0))) ),
inference(paramodulation,[status(thm)],[f943,f3034]) ).
fof(f21775,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f1118,f21773]) ).
fof(f21776,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),possibly(X0))) ),
inference(forward_demodulation,[status(thm)],[f1119,f21774]) ).
fof(f21809,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f1142,f3447]) ).
fof(f21835,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f1164,f3447]) ).
fof(f21861,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f1148,f3447]) ).
fof(f21865,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f3013,f3034]) ).
fof(f21868,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f3013,f3285]) ).
fof(f21869,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(or(X0,not(X1)),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f3013,f1044]) ).
fof(f21870,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f3013,f486]) ).
fof(f21871,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f3013,f497]) ).
fof(f21872,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(implies(X0,implies(X0,X1)),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f3013,f398]) ).
fof(f21873,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))) ),
inference(resolution,[status(thm)],[f3013,f475]) ).
fof(f21874,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f3013,f409]) ).
fof(f21875,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) ),
inference(resolution,[status(thm)],[f3013,f508]) ).
fof(f21876,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(and(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f3013,f420]) ).
fof(f21877,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(and(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f3013,f431]) ).
fof(f21878,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))) ),
inference(resolution,[status(thm)],[f3013,f734]) ).
fof(f21879,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(necessarily(X0),necessarily(necessarily(X0))))) ),
inference(resolution,[status(thm)],[f3013,f756]) ).
fof(f21880,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(necessarily(X0),X0))) ),
inference(resolution,[status(thm)],[f3013,f745]) ).
fof(f21881,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X0,necessarily(possibly(X0))))) ),
inference(resolution,[status(thm)],[f3013,f767]) ).
fof(f21882,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X0,implies(X1,and(X0,X1))))) ),
inference(resolution,[status(thm)],[f3013,f442]) ).
fof(f21883,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X0,implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f3013,f387]) ).
fof(f21884,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X0,or(X1,X0)))) ),
inference(resolution,[status(thm)],[f3013,f464]) ).
fof(f21885,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X0,or(X0,X1)))) ),
inference(resolution,[status(thm)],[f3013,f453]) ).
fof(f21886,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X0,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f3013,f519]) ).
fof(f21887,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f3013,f3447]) ).
fof(f21889,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(forward_demodulation,[status(thm)],[f659,f21887]) ).
fof(f21890,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1145]) ).
fof(f21891,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1170]) ).
fof(f21925,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3295]) ).
fof(f21934,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3032]) ).
fof(f21966,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f1121,f1145]) ).
fof(f21967,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)],[f1121,f442]) ).
fof(f21968,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)],[f1121,f420]) ).
fof(f21969,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)],[f1121,f431]) ).
fof(f21986,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(X1)))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f1120,f1170]) ).
fof(f21988,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)],[f1120,f442]) ).
fof(f21989,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)],[f1120,f420]) ).
fof(f21990,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)],[f1120,f431]) ).
fof(f22037,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),not(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1118,f3034]) ).
fof(f22041,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f1118,f464]) ).
fof(f22045,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f645,f22037]) ).
fof(f22059,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),not(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1119,f3034]) ).
fof(f22063,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(X1),X0))) ),
inference(paramodulation,[status(thm)],[f1119,f464]) ).
fof(f22067,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),possibly(X0))) ),
inference(forward_demodulation,[status(thm)],[f943,f22059]) ).
fof(f22103,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f1152,f3447]) ).
fof(f22121,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ107_spl
| is_a_theorem(implies(necessarily(X0),necessarily(X0))) ),
inference(resolution,[status(thm)],[f1157,f3033]) ).
fof(f22143,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(X1,X0),X1))) ),
inference(resolution,[status(thm)],[f1203,f3447]) ).
fof(f22188,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f1160,f3447]) ).
fof(f22232,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,X1),X0))) ),
inference(resolution,[status(thm)],[f1208,f3447]) ).
fof(f22296,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ10_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1228,f3034]) ).
fof(f22305,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ43_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1167,f3285]) ).
fof(f22306,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1199,f3285]) ).
fof(f22308,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f409]) ).
fof(f22309,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f508]) ).
fof(f22310,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f442]) ).
fof(f22311,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1214,f3032]) ).
fof(f22312,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1214,f387]) ).
fof(f22629,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ188_spl
| ~ is_a_theorem(not(implies(X0,implies(possibly(X1),X0)))) ),
inference(paramodulation,[status(thm)],[f1119,f3070]) ).
fof(f22630,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ188_spl
| ~ is_a_theorem(not(implies(X0,implies(implies(X1,X2),X0)))) ),
inference(paramodulation,[status(thm)],[f1118,f3070]) ).
fof(f22634,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ208_spl
| ~ is_a_theorem(not(implies(possibly(X0),equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1119,f21640]) ).
fof(f22635,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ208_spl
| ~ is_a_theorem(not(implies(implies(X0,X1),equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1118,f21640]) ).
fof(f23217,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(not(X0),X1),implies(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1121,f1146]) ).
fof(f23218,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)],[f1120,f1146]) ).
fof(f23219,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f659,f1146]) ).
fof(f23246,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)],[f1121,f1171]) ).
fof(f23247,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,not(X1)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1120,f1171]) ).
fof(f23248,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1171]) ).
fof(f23428,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(implies(implies(X0,X0),equiv(X0,X0)))) ),
inference(paramodulation,[status(thm)],[f659,f3020]) ).
fof(f23520,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)],[f1119,f1165]) ).
fof(f23521,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)],[f1118,f1165]) ).
fof(f23551,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f1149]) ).
fof(f23580,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(X0,implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3443]) ).
fof(f23733,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(X0,equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f4574]) ).
fof(f23987,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1210]) ).
fof(f23988,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1120,f1210]) ).
fof(f23989,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f1210]) ).
fof(f24088,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f1179,f1228]) ).
fof(f24249,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)],[f1119,f1166]) ).
fof(f24250,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)],[f1118,f1166]) ).
fof(f24329,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f1150]) ).
fof(f24511,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1119,f1348]) ).
fof(f24512,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1118,f1348]) ).
fof(f24584,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,possibly(equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f4820]) ).
fof(f24745,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(resolution,[status(thm)],[f1202,f342]) ).
fof(f24768,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1202,f1164]) ).
fof(f24769,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f1202,f1142]) ).
fof(f24814,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,possibly(implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f4858]) ).
fof(f24820,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(resolution,[status(thm)],[f1169,f342]) ).
fof(f24843,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1169,f1164]) ).
fof(f24844,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(implies(equiv(X0,not(X1)),or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f1169,f1142]) ).
fof(f24889,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(X1,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3188]) ).
fof(f24934,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1047,f1248]) ).
fof(f24966,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,necessarily(equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3304]) ).
fof(f24998,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3179]) ).
fof(f25170,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1194,f1228]) ).
fof(f25291,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1119,f1367]) ).
fof(f25292,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1118,f1367]) ).
fof(f25324,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f1264]) ).
fof(f25470,plain,
( ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1868,f723]) ).
fof(f25580,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ202_spl
| ~ is_a_theorem(not(necessarily(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1116,f16913]) ).
fof(f25581,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ164_spl
| ~ sQ202_spl
| ~ is_a_theorem(not(necessarily(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1115,f16913]) ).
fof(f25583,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ202_spl
| ~ is_a_theorem(not(necessarily(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1117,f16913]) ).
fof(f25584,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ202_spl
| ~ is_a_theorem(not(necessarily(or(necessarily(possibly(X0)),possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1114,f16913]) ).
fof(f25760,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(implies(X0,necessarily(not(X1))),X2),implies(X2,implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1437,f1146]) ).
fof(f25764,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X2,implies(X0,necessarily(not(X1)))))
| ~ is_a_theorem(equiv(implies(X0,necessarily(not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1437,f1145]) ).
fof(f25765,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(and(X0,possibly(X1)),X2),implies(implies(X2,implies(X0,necessarily(not(X1)))),equiv(implies(X0,necessarily(not(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1437,f442]) ).
fof(f25766,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(implies(X0,necessarily(not(X1))),X2),or(and(X0,possibly(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f1437,f420]) ).
fof(f25767,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(implies(X0,necessarily(not(X1))),X2),implies(X2,implies(X0,necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1437,f431]) ).
fof(f25799,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(implies(X0,and(X1,not(X2))),X3),implies(X3,implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1438,f1146]) ).
fof(f25803,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X3,implies(X0,and(X1,not(X2)))))
| ~ is_a_theorem(equiv(implies(X0,and(X1,not(X2))),X3)) ),
inference(paramodulation,[status(thm)],[f1438,f1145]) ).
fof(f25804,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),X3),implies(implies(X3,implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1438,f442]) ).
fof(f25805,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(implies(X0,and(X1,not(X2))),X3),or(and(X0,implies(X1,X2)),X3))) ),
inference(paramodulation,[status(thm)],[f1438,f420]) ).
fof(f25806,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(implies(X0,and(X1,not(X2))),X3),implies(X3,implies(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1438,f431]) ).
fof(f25840,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(possibly(and(X0,not(X1))),X2),implies(X2,possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1441,f1146]) ).
fof(f25844,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X2,possibly(and(X0,not(X1)))))
| ~ is_a_theorem(equiv(possibly(and(X0,not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1441,f1145]) ).
fof(f25845,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(necessarily(implies(X0,X1)),X2),implies(implies(X2,possibly(and(X0,not(X1)))),equiv(possibly(and(X0,not(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1441,f442]) ).
fof(f25846,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(possibly(and(X0,not(X1))),X2),or(necessarily(implies(X0,X1)),X2))) ),
inference(paramodulation,[status(thm)],[f1441,f420]) ).
fof(f25847,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(possibly(and(X0,not(X1))),X2),implies(X2,possibly(and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1441,f431]) ).
fof(f25874,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(possibly(necessarily(not(X0))),X1),implies(X1,possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1442,f1146]) ).
fof(f25878,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,possibly(necessarily(not(X0)))))
| ~ is_a_theorem(equiv(possibly(necessarily(not(X0))),X1)) ),
inference(paramodulation,[status(thm)],[f1442,f1145]) ).
fof(f25879,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(necessarily(possibly(X0)),X1),implies(implies(X1,possibly(necessarily(not(X0)))),equiv(possibly(necessarily(not(X0))),X1)))) ),
inference(paramodulation,[status(thm)],[f1442,f442]) ).
fof(f25880,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(possibly(necessarily(not(X0))),X1),or(necessarily(possibly(X0)),X1))) ),
inference(paramodulation,[status(thm)],[f1442,f420]) ).
fof(f25881,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(possibly(necessarily(not(X0))),X1),implies(X1,possibly(necessarily(not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1442,f431]) ).
fof(f25942,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(implies(or(X0,not(X0)),equiv(not(X0),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1394,f3020]) ).
fof(f25943,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(not(X0),not(X1)),or(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1394,f1171]) ).
fof(f25944,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(not(X0),not(X1)),or(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1394,f1146]) ).
fof(f25949,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(X0,not(X1)),implies(or(X1,not(X0)),equiv(not(X0),not(X1))))) ),
inference(paramodulation,[status(thm)],[f1394,f442]) ).
fof(f25950,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(X0,not(X0)),equiv(not(X0),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1394,f519]) ).
fof(f25951,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(not(X0),not(X1)),or(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1394,f420]) ).
fof(f25952,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(not(X0),not(X1)),or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1394,f431]) ).
fof(f26040,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(or(X0,equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4563,f1868]) ).
fof(f26113,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,implies(X1,necessarily(not(X2)))),implies(X0,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1407,f1171]) ).
fof(f26117,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(not(X2)))))
| ~ is_a_theorem(equiv(X0,implies(X1,necessarily(not(X2))))) ),
inference(paramodulation,[status(thm)],[f1407,f1170]) ).
fof(f26119,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,implies(X1,necessarily(not(X2)))),implies(or(and(X1,possibly(X2)),X0),equiv(X0,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1407,f442]) ).
fof(f26120,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,implies(X1,necessarily(not(X2)))),implies(X0,implies(X1,necessarily(not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1407,f420]) ).
fof(f26121,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,implies(X1,necessarily(not(X2)))),or(and(X1,possibly(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1407,f431]) ).
fof(f26153,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,implies(X1,and(X2,not(X3)))),implies(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1408,f1171]) ).
fof(f26157,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(X1,and(X2,not(X3)))))
| ~ is_a_theorem(equiv(X0,implies(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f1408,f1170]) ).
fof(f26159,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X0),equiv(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1408,f442]) ).
fof(f26160,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,implies(X1,and(X2,not(X3)))),implies(X0,implies(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f1408,f420]) ).
fof(f26161,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f1408,f431]) ).
fof(f26196,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,possibly(and(X1,not(X2)))),implies(X0,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1411,f1171]) ).
fof(f26200,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,possibly(and(X1,not(X2)))))
| ~ is_a_theorem(equiv(X0,possibly(and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1411,f1170]) ).
fof(f26202,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,possibly(and(X1,not(X2)))),implies(or(necessarily(implies(X1,X2)),X0),equiv(X0,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1411,f442]) ).
fof(f26203,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,possibly(and(X1,not(X2)))),implies(X0,possibly(and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1411,f420]) ).
fof(f26204,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,possibly(and(X1,not(X2)))),or(necessarily(implies(X1,X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1411,f431]) ).
fof(f26226,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,possibly(necessarily(not(X1)))),implies(X0,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1412,f1171]) ).
fof(f26230,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,possibly(necessarily(not(X1)))))
| ~ is_a_theorem(equiv(X0,possibly(necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1412,f1170]) ).
fof(f26232,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,possibly(necessarily(not(X1)))),implies(or(necessarily(possibly(X1)),X0),equiv(X0,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1412,f442]) ).
fof(f26233,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,possibly(necessarily(not(X1)))),implies(X0,possibly(necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1412,f420]) ).
fof(f26234,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,possibly(necessarily(not(X1)))),or(necessarily(possibly(X1)),X0))) ),
inference(paramodulation,[status(thm)],[f1412,f431]) ).
fof(f26248,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f1175,f1228]) ).
fof(f26283,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,possibly(necessarily(not(X1)))),implies(X0,possibly(necessarily(not(X1))))),X2)) ),
inference(paramodulation,[status(thm)],[f1412,f1175]) ).
fof(f26284,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,possibly(and(X1,not(X2)))),implies(X0,possibly(and(X1,not(X2))))),X3)) ),
inference(paramodulation,[status(thm)],[f1411,f1175]) ).
fof(f26285,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,implies(X1,and(X2,not(X3)))),implies(X0,implies(X1,and(X2,not(X3))))),X4)) ),
inference(paramodulation,[status(thm)],[f1408,f1175]) ).
fof(f26286,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,implies(X1,necessarily(not(X2)))),implies(X0,implies(X1,necessarily(not(X2))))),X3)) ),
inference(paramodulation,[status(thm)],[f1407,f1175]) ).
fof(f26287,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,not(X1)),implies(X0,not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1120,f1175]) ).
fof(f26288,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f659,f1175]) ).
fof(f26290,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| implies(not(equiv(X0,X1)),and(and(X1,not(X0)),not(implies(X0,X1)))) = not(equiv(implies(X0,X1),and(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1295,f1295]) ).
fof(f26313,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(implies(X0,X1),X2),implies(implies(X2,and(X1,not(X0))),not(equiv(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1295,f1283]) ).
fof(f26314,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(implies(X0,implies(X1,X2)),implies(not(equiv(X1,X2)),implies(X0,and(X2,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1295,f1283]) ).
fof(f26315,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ19_spl
| is_a_theorem(necessarily(implies(not(equiv(X0,X1)),implies(implies(and(X1,not(X0)),X2),implies(implies(X0,X1),X2))))) ),
inference(paramodulation,[status(thm)],[f1295,f1283]) ).
fof(f26316,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(implies(X0,and(X1,not(X2))),implies(not(equiv(X2,X1)),implies(or(X0,implies(X2,X1)),and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1295,f1205]) ).
fof(f26317,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ37_spl
| is_a_theorem(necessarily(implies(not(equiv(X0,X1)),implies(implies(X2,and(X1,not(X0))),implies(or(implies(X0,X1),X2),and(X1,not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1295,f1205]) ).
fof(f26319,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(and(X0,not(X1)),implies(X1,X0)),implies(not(equiv(X1,X0)),equiv(and(X0,not(X1)),implies(X1,X0)))))) ),
inference(paramodulation,[status(thm)],[f1295,f1161]) ).
fof(f26320,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(not(equiv(X0,X1)),implies(implies(and(X1,not(X0)),implies(X0,X1)),equiv(implies(X0,X1),and(X1,not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1295,f1161]) ).
fof(f26327,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X2,and(X1,not(X0))),implies(or(implies(X0,X1),X2),and(X1,not(X0)))))
| ~ is_a_theorem(not(equiv(X0,X1))) ),
inference(paramodulation,[status(thm)],[f1295,f1203]) ).
fof(f26335,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,and(X1,not(X0))),not(equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f1295,f409]) ).
fof(f26336,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(not(equiv(X1,X2)),implies(X0,and(X2,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1295,f409]) ).
fof(f26337,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(and(X1,not(X0)),X2),implies(implies(X0,X1),X2)))) ),
inference(paramodulation,[status(thm)],[f1295,f409]) ).
fof(f26338,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(X1,not(X2))),implies(not(equiv(X2,X1)),implies(or(X0,implies(X2,X1)),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1295,f475]) ).
fof(f26339,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(X2,and(X1,not(X0))),implies(or(implies(X0,X1),X2),and(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1295,f475]) ).
fof(f26340,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),implies(X1,X0)),implies(not(equiv(X1,X0)),equiv(and(X0,not(X1)),implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f1295,f508]) ).
fof(f26341,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(and(X1,not(X0)),implies(X0,X1)),equiv(implies(X0,X1),and(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1295,f508]) ).
fof(f26408,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f1176,f1228]) ).
fof(f26437,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(possibly(necessarily(not(X0))),X1),implies(X1,possibly(necessarily(not(X0))))),X2)) ),
inference(paramodulation,[status(thm)],[f1442,f1176]) ).
fof(f26438,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(possibly(and(X0,not(X1))),X2),implies(X2,possibly(and(X0,not(X1))))),X3)) ),
inference(paramodulation,[status(thm)],[f1441,f1176]) ).
fof(f26439,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(implies(X0,and(X1,not(X2))),X3),implies(X3,implies(X0,and(X1,not(X2))))),X4)) ),
inference(paramodulation,[status(thm)],[f1438,f1176]) ).
fof(f26440,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(implies(X0,necessarily(not(X1))),X2),implies(X2,implies(X0,necessarily(not(X1))))),X3)) ),
inference(paramodulation,[status(thm)],[f1437,f1176]) ).
fof(f26442,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),implies(X1,not(X0))),X2)) ),
inference(paramodulation,[status(thm)],[f1121,f1176]) ).
fof(f26448,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f659,f1176]) ).
fof(f26481,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1047,f1181]) ).
fof(f26483,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1182,f1228]) ).
fof(f26513,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(possibly(X1),X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1119,f1182]) ).
fof(f26514,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,X2),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1118,f1182]) ).
fof(f26516,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1183,f1228]) ).
fof(f26763,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(not(and(and(not(X0),not(X1)),or(X0,X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f1296,f3177]) ).
fof(f26939,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1368,f1367]) ).
fof(f26954,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(necessarily(X3),X3))) ),
inference(paramodulation,[status(thm)],[f1368,f1348]) ).
fof(f26970,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,and(X2,possibly(X3))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1368,f1166]) ).
fof(f26978,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),not(and(X0,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1368,f3034]) ).
fof(f26982,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,and(X2,possibly(X3))),X0)),X4)) ),
inference(paramodulation,[status(thm)],[f1368,f1182]) ).
fof(f26997,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(implies(X1,and(X2,possibly(X3))),X0)))) ),
inference(paramodulation,[status(thm)],[f1368,f1165]) ).
fof(f27004,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(X2,possibly(X3))),X0))) ),
inference(paramodulation,[status(thm)],[f1368,f464]) ).
fof(f27053,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(X0,and(X1,not(necessarily(not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f26978]) ).
fof(f27054,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(X0,and(X1,possibly(X2))))) ),
inference(forward_demodulation,[status(thm)],[f943,f27053]) ).
fof(f27111,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1369,f1367]) ).
fof(f27126,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(necessarily(X4),X4))) ),
inference(paramodulation,[status(thm)],[f1369,f1348]) ).
fof(f27142,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,and(X2,implies(X3,X4))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1369,f1166]) ).
fof(f27150,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),not(and(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1369,f3034]) ).
fof(f27154,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,and(X2,implies(X3,X4))),X0)),X5)) ),
inference(paramodulation,[status(thm)],[f1369,f1182]) ).
fof(f27169,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(implies(X1,and(X2,implies(X3,X4))),X0)))) ),
inference(paramodulation,[status(thm)],[f1369,f1165]) ).
fof(f27176,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(X2,implies(X3,X4))),X0))) ),
inference(paramodulation,[status(thm)],[f1369,f464]) ).
fof(f27228,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(X0,and(X1,not(and(X2,not(X3))))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f27150]) ).
fof(f27229,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(X0,and(X1,implies(X2,X3))))) ),
inference(forward_demodulation,[status(thm)],[f645,f27228]) ).
fof(f27300,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1119,f1344]) ).
fof(f27301,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(and(X4,X5),X4))) ),
inference(paramodulation,[status(thm)],[f1369,f1344]) ).
fof(f27302,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(and(X3,X4),X3))) ),
inference(paramodulation,[status(thm)],[f1368,f1344]) ).
fof(f27303,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1118,f1344]) ).
fof(f27311,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,possibly(necessarily(not(X2)))),implies(X1,possibly(necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1412,f1344]) ).
fof(f27312,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,possibly(and(X2,not(X3)))),implies(X1,possibly(and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1411,f1344]) ).
fof(f27313,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,implies(X2,and(X3,not(X4)))),implies(X1,implies(X2,and(X3,not(X4))))))) ),
inference(paramodulation,[status(thm)],[f1408,f1344]) ).
fof(f27314,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,implies(X2,necessarily(not(X3)))),implies(X1,implies(X2,necessarily(not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1407,f1344]) ).
fof(f27315,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,not(X2)),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1120,f1344]) ).
fof(f27316,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f1344]) ).
fof(f27347,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1298,f1264]) ).
fof(f27352,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),possibly(implies(X3,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f4858]) ).
fof(f27353,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),possibly(equiv(X3,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f4820]) ).
fof(f27357,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1298,f1150]) ).
fof(f27360,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),equiv(X3,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f4574]) ).
fof(f27361,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),equiv(X3,X3))) ),
inference(paramodulation,[status(thm)],[f1298,f3295]) ).
fof(f27365,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),necessarily(implies(X3,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f3179]) ).
fof(f27366,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),necessarily(equiv(X3,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f3304]) ).
fof(f27370,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(X3,not(X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f3188]) ).
fof(f27388,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(necessarily(X3),X3))) ),
inference(paramodulation,[status(thm)],[f1298,f1248]) ).
fof(f27396,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(and(X0,implies(X1,X2)),implies(X3,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f3443]) ).
fof(f27401,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X3,X3))) ),
inference(paramodulation,[status(thm)],[f1298,f3032]) ).
fof(f27404,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(and(X1,implies(X2,X3)),X0)),X4)) ),
inference(paramodulation,[status(thm)],[f1298,f1181]) ).
fof(f27426,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(implies(X0,and(X1,not(X2))),X3),or(and(X0,implies(X1,X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f1201]) ).
fof(f27427,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),X0)))) ),
inference(paramodulation,[status(thm)],[f1298,f1168]) ).
fof(f27434,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(and(X1,implies(X2,X3)),X0)))) ),
inference(paramodulation,[status(thm)],[f1298,f1149]) ).
fof(f27435,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X0),equiv(X0,implies(X1,and(X2,not(X3)))))))) ),
inference(paramodulation,[status(thm)],[f1298,f1161]) ).
fof(f27436,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(or(and(X0,implies(X1,X2)),X3),implies(implies(X3,implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),X3))))) ),
inference(paramodulation,[status(thm)],[f1298,f1161]) ).
fof(f27461,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ191_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1298,f3447]) ).
fof(f27462,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(and(X1,implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f1298,f387]) ).
fof(f27557,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1119,f1345]) ).
fof(f27558,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(and(X4,X5),X5))) ),
inference(paramodulation,[status(thm)],[f1369,f1345]) ).
fof(f27559,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(and(X3,X4),X4))) ),
inference(paramodulation,[status(thm)],[f1368,f1345]) ).
fof(f27560,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1118,f1345]) ).
fof(f27562,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(possibly(necessarily(not(X1))),X2),implies(X2,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1442,f1345]) ).
fof(f27563,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(possibly(and(X1,not(X2))),X3),implies(X3,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1441,f1345]) ).
fof(f27564,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(implies(X1,and(X2,not(X3))),X4),implies(X4,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1438,f1345]) ).
fof(f27565,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(implies(X1,necessarily(not(X2))),X3),implies(X3,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1437,f1345]) ).
fof(f27567,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),X2),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1345]) ).
fof(f27573,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1345]) ).
fof(f27643,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)],[f1119,f1355]) ).
fof(f27644,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(X4,or(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f1369,f1355]) ).
fof(f27645,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(X3,or(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f1368,f1355]) ).
fof(f27646,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)],[f1118,f1355]) ).
fof(f27649,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)],[f1119,f1355]) ).
fof(f27650,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,and(X3,implies(X4,X5))),X1)))) ),
inference(paramodulation,[status(thm)],[f1369,f1355]) ).
fof(f27651,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,and(X3,possibly(X4))),X1)))) ),
inference(paramodulation,[status(thm)],[f1368,f1355]) ).
fof(f27652,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)],[f1118,f1355]) ).
fof(f27682,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1119,f1356]) ).
fof(f27683,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(X4,or(X4,X5)))) ),
inference(paramodulation,[status(thm)],[f1369,f1356]) ).
fof(f27684,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,possibly(X2))),implies(X3,or(X3,X4)))) ),
inference(paramodulation,[status(thm)],[f1368,f1356]) ).
fof(f27685,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1118,f1356]) ).
fof(f27703,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1371,f1367]) ).
fof(f27718,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(and(X3,X4),X4))) ),
inference(paramodulation,[status(thm)],[f1371,f1345]) ).
fof(f27719,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(and(X3,X4),X3))) ),
inference(paramodulation,[status(thm)],[f1371,f1344]) ).
fof(f27720,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(necessarily(X3),X3))) ),
inference(paramodulation,[status(thm)],[f1371,f1348]) ).
fof(f27721,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(X3,or(X3,X4)))) ),
inference(paramodulation,[status(thm)],[f1371,f1356]) ).
fof(f27722,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(X3,or(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f1371,f1355]) ).
fof(f27739,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,necessarily(implies(X2,X3))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1371,f1166]) ).
fof(f27747,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),not(and(X0,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1371,f3034]) ).
fof(f27750,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,necessarily(implies(X3,X4))),X1)))) ),
inference(paramodulation,[status(thm)],[f1371,f1355]) ).
fof(f27753,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,necessarily(implies(X2,X3))),X0)),X4)) ),
inference(paramodulation,[status(thm)],[f1371,f1182]) ).
fof(f27768,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(implies(X1,necessarily(implies(X2,X3))),X0)))) ),
inference(paramodulation,[status(thm)],[f1371,f1165]) ).
fof(f27775,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,necessarily(implies(X2,X3))),X0))) ),
inference(paramodulation,[status(thm)],[f1371,f464]) ).
fof(f27824,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(X0,necessarily(not(and(X1,not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f27747]) ).
fof(f27825,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,necessarily(implies(X1,X2))),implies(X0,necessarily(implies(X1,X2))))) ),
inference(forward_demodulation,[status(thm)],[f645,f27824]) ).
fof(f27877,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1372,f1367]) ).
fof(f27892,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1372,f1345]) ).
fof(f27893,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1372,f1344]) ).
fof(f27894,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1372,f1348]) ).
fof(f27895,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1372,f1356]) ).
fof(f27896,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(X2,or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f1372,f1355]) ).
fof(f27913,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,necessarily(possibly(X2))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1372,f1166]) ).
fof(f27921,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),not(and(X0,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1372,f3034]) ).
fof(f27924,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,necessarily(possibly(X3))),X1)))) ),
inference(paramodulation,[status(thm)],[f1372,f1355]) ).
fof(f27927,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,necessarily(possibly(X2))),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1372,f1182]) ).
fof(f27942,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(implies(X1,necessarily(possibly(X2))),X0)))) ),
inference(paramodulation,[status(thm)],[f1372,f1165]) ).
fof(f27949,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,necessarily(possibly(X2))),X0))) ),
inference(paramodulation,[status(thm)],[f1372,f464]) ).
fof(f27997,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(X0,necessarily(not(necessarily(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f27921]) ).
fof(f27998,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,necessarily(possibly(X1))),implies(X0,necessarily(possibly(X1))))) ),
inference(forward_demodulation,[status(thm)],[f943,f27997]) ).
fof(f28068,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,possibly(X1)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1304,f1264]) ).
fof(f28073,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,possibly(X1)),possibly(implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f4858]) ).
fof(f28074,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(X0,possibly(X1)),possibly(equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f4820]) ).
fof(f28078,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(and(X1,possibly(X2)),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1304,f1150]) ).
fof(f28081,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(and(X0,possibly(X1)),equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f4574]) ).
fof(f28082,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(X0,possibly(X1)),equiv(X2,X2))) ),
inference(paramodulation,[status(thm)],[f1304,f3295]) ).
fof(f28086,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,possibly(X1)),necessarily(implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f3179]) ).
fof(f28087,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(X0,possibly(X1)),necessarily(equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f3304]) ).
fof(f28091,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,possibly(X1)),or(X2,not(X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f3188]) ).
fof(f28112,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1304,f1248]) ).
fof(f28121,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(and(X0,possibly(X1)),implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f3443]) ).
fof(f28126,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(X2,X2))) ),
inference(paramodulation,[status(thm)],[f1304,f3032]) ).
fof(f28130,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(and(X1,possibly(X2)),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1304,f1181]) ).
fof(f28152,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(implies(X0,necessarily(not(X1))),X2),or(and(X0,possibly(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f1201]) ).
fof(f28153,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(X0,implies(X1,necessarily(not(X2)))),or(and(X1,possibly(X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1304,f1168]) ).
fof(f28160,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(and(X1,possibly(X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1304,f1149]) ).
fof(f28161,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(X0,implies(X1,necessarily(not(X2)))),implies(or(and(X1,possibly(X2)),X0),equiv(X0,implies(X1,necessarily(not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1304,f1161]) ).
fof(f28162,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(or(and(X0,possibly(X1)),X2),implies(implies(X2,implies(X0,necessarily(not(X1)))),equiv(implies(X0,necessarily(not(X1))),X2))))) ),
inference(paramodulation,[status(thm)],[f1304,f1161]) ).
fof(f28187,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ191_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1))))) ),
inference(paramodulation,[status(thm)],[f1304,f3447]) ).
fof(f28188,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(and(X1,possibly(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1304,f387]) ).
fof(f28262,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1384,f1367]) ).
fof(f28277,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1384,f1345]) ).
fof(f28278,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1384,f1344]) ).
fof(f28279,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1384,f1348]) ).
fof(f28280,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1384,f1356]) ).
fof(f28281,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),implies(X2,or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f1384,f1355]) ).
fof(f28298,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(possibly(necessarily(implies(X1,X2))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1384,f1166]) ).
fof(f28306,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),not(necessarily(possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1384,f3034]) ).
fof(f28309,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(possibly(necessarily(implies(X2,X3))),X1)))) ),
inference(paramodulation,[status(thm)],[f1384,f1355]) ).
fof(f28312,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(possibly(necessarily(implies(X1,X2))),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1384,f1182]) ).
fof(f28327,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(possibly(necessarily(implies(X1,X2))),X0)))) ),
inference(paramodulation,[status(thm)],[f1384,f1165]) ).
fof(f28334,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(necessarily(implies(X1,X2))),X0))) ),
inference(paramodulation,[status(thm)],[f1384,f464]) ).
fof(f28383,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),possibly(necessarily(not(and(X0,not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f28306]) ).
fof(f28384,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(necessarily(implies(X0,X1))),possibly(necessarily(implies(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f645,f28383]) ).
fof(f28490,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1385,f1367]) ).
fof(f28505,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1385,f1345]) ).
fof(f28506,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1385,f1344]) ).
fof(f28507,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1385,f1348]) ).
fof(f28508,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1385,f1356]) ).
fof(f28509,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),implies(X1,or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1385,f1355]) ).
fof(f28527,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(possibly(necessarily(possibly(X1))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1385,f1166]) ).
fof(f28535,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),not(necessarily(possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1385,f3034]) ).
fof(f28538,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(possibly(necessarily(possibly(X2))),X1)))) ),
inference(paramodulation,[status(thm)],[f1385,f1355]) ).
fof(f28541,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(possibly(necessarily(possibly(X1))),X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1385,f1182]) ).
fof(f28556,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(possibly(necessarily(possibly(X1))),X0)))) ),
inference(paramodulation,[status(thm)],[f1385,f1165]) ).
fof(f28563,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(necessarily(possibly(X1))),X0))) ),
inference(paramodulation,[status(thm)],[f1385,f464]) ).
fof(f28613,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),possibly(necessarily(not(necessarily(not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f28535]) ).
fof(f28614,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(necessarily(possibly(X0))),possibly(necessarily(possibly(X0))))) ),
inference(forward_demodulation,[status(thm)],[f943,f28613]) ).
fof(f28689,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1304,f1244]) ).
fof(f28690,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(and(X3,X4),X3))) ),
inference(paramodulation,[status(thm)],[f1298,f1244]) ).
fof(f28691,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1047,f1244]) ).
fof(f28697,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),not(X2)),or(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1394,f1244]) ).
fof(f28698,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1121,f1244]) ).
fof(f28699,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,possibly(necessarily(not(X2)))),implies(X1,possibly(necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1412,f1244]) ).
fof(f28700,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,possibly(and(X2,not(X3)))),implies(X1,possibly(and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1411,f1244]) ).
fof(f28701,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,implies(X2,and(X3,not(X4)))),implies(X1,implies(X2,and(X3,not(X4))))))) ),
inference(paramodulation,[status(thm)],[f1408,f1244]) ).
fof(f28702,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,implies(X2,necessarily(not(X3)))),implies(X1,implies(X2,necessarily(not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1407,f1244]) ).
fof(f28703,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1120,f1244]) ).
fof(f28704,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f1244]) ).
fof(f28738,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1304,f1245]) ).
fof(f28739,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(and(X3,X4),X4))) ),
inference(paramodulation,[status(thm)],[f1298,f1245]) ).
fof(f28740,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1047,f1245]) ).
fof(f28742,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(possibly(necessarily(not(X1))),X2),implies(X2,possibly(necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1442,f1245]) ).
fof(f28743,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(possibly(and(X1,not(X2))),X3),implies(X3,possibly(and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1441,f1245]) ).
fof(f28744,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(implies(X1,and(X2,not(X3))),X4),implies(X4,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1438,f1245]) ).
fof(f28745,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(implies(X1,necessarily(not(X2))),X3),implies(X3,implies(X1,necessarily(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1437,f1245]) ).
fof(f28746,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),not(X2)),or(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1394,f1245]) ).
fof(f28747,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1245]) ).
fof(f28752,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1120,f1245]) ).
fof(f28753,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1245]) ).
fof(f28787,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(X2,implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f1304,f1251]) ).
fof(f28788,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X3,implies(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f1298,f1251]) ).
fof(f28789,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)],[f1047,f1251]) ).
fof(f28794,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(and(X2,possibly(X3)),X1)))) ),
inference(paramodulation,[status(thm)],[f1304,f1251]) ).
fof(f28795,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(and(X2,implies(X3,X4)),X1)))) ),
inference(paramodulation,[status(thm)],[f1298,f1251]) ).
fof(f28797,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)],[f1047,f1251]) ).
fof(f28854,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(possibly(X0)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1290,f1264]) ).
fof(f28859,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(possibly(X0)),possibly(implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f4858]) ).
fof(f28860,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(possibly(X0)),possibly(equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f4820]) ).
fof(f28864,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(necessarily(possibly(X1)),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1290,f1150]) ).
fof(f28867,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(necessarily(possibly(X0)),equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f4574]) ).
fof(f28868,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(possibly(X0)),equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1290,f3295]) ).
fof(f28873,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(possibly(X0)),necessarily(implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f3179]) ).
fof(f28874,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(possibly(X0)),necessarily(equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f3304]) ).
fof(f28878,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(possibly(X0)),or(X1,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f3188]) ).
fof(f28900,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(possibly(X0)),implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1290,f1245]) ).
fof(f28901,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(possibly(X0)),implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1290,f1244]) ).
fof(f28902,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(possibly(X0)),implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1290,f1248]) ).
fof(f28904,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(possibly(X0)),implies(X1,implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f1251]) ).
fof(f28914,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(necessarily(possibly(X0)),implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f3443]) ).
fof(f28919,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(possibly(X0)),implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1290,f3032]) ).
fof(f28922,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(necessarily(possibly(X2)),X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f1251]) ).
fof(f28924,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(necessarily(possibly(X1)),X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1290,f1181]) ).
fof(f28946,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(possibly(necessarily(not(X0))),X1),or(necessarily(possibly(X0)),X1)))) ),
inference(paramodulation,[status(thm)],[f1290,f1201]) ).
fof(f28947,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(X0,possibly(necessarily(not(X1)))),or(necessarily(possibly(X1)),X0)))) ),
inference(paramodulation,[status(thm)],[f1290,f1168]) ).
fof(f28954,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(necessarily(possibly(X1)),X0)))) ),
inference(paramodulation,[status(thm)],[f1290,f1149]) ).
fof(f28955,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(X0,possibly(necessarily(not(X1)))),implies(or(necessarily(possibly(X1)),X0),equiv(X0,possibly(necessarily(not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1290,f1161]) ).
fof(f28956,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(or(necessarily(possibly(X0)),X1),implies(implies(X1,possibly(necessarily(not(X0)))),equiv(possibly(necessarily(not(X0))),X1))))) ),
inference(paramodulation,[status(thm)],[f1290,f1161]) ).
fof(f28981,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| is_a_theorem(or(necessarily(possibly(X0)),possibly(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1290,f3447]) ).
fof(f28982,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(necessarily(possibly(X1)),X0))) ),
inference(paramodulation,[status(thm)],[f1290,f387]) ).
fof(f29056,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1381,f1367]) ).
fof(f29071,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1381,f1345]) ).
fof(f29072,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1381,f1344]) ).
fof(f29073,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1381,f1348]) ).
fof(f29074,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1381,f1356]) ).
fof(f29075,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),implies(X2,or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f1381,f1355]) ).
fof(f29093,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(possibly(and(X1,possibly(X2))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1381,f1166]) ).
fof(f29101,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),not(necessarily(implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1381,f3034]) ).
fof(f29105,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(possibly(and(X2,possibly(X3))),X1)))) ),
inference(paramodulation,[status(thm)],[f1381,f1355]) ).
fof(f29108,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(possibly(and(X1,possibly(X2))),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1381,f1182]) ).
fof(f29123,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(possibly(and(X1,possibly(X2))),X0)))) ),
inference(paramodulation,[status(thm)],[f1381,f1165]) ).
fof(f29130,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(and(X1,possibly(X2))),X0))) ),
inference(paramodulation,[status(thm)],[f1381,f464]) ).
fof(f29183,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),possibly(and(X0,not(necessarily(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f29101]) ).
fof(f29184,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(and(X0,possibly(X1))),possibly(and(X0,possibly(X1))))) ),
inference(forward_demodulation,[status(thm)],[f943,f29183]) ).
fof(f29244,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1382,f1367]) ).
fof(f29259,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),implies(and(X3,X4),X4))) ),
inference(paramodulation,[status(thm)],[f1382,f1345]) ).
fof(f29260,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),implies(and(X3,X4),X3))) ),
inference(paramodulation,[status(thm)],[f1382,f1344]) ).
fof(f29261,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),implies(necessarily(X3),X3))) ),
inference(paramodulation,[status(thm)],[f1382,f1348]) ).
fof(f29262,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),implies(X3,or(X3,X4)))) ),
inference(paramodulation,[status(thm)],[f1382,f1356]) ).
fof(f29263,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),implies(X3,or(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f1382,f1355]) ).
fof(f29281,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(possibly(and(X1,implies(X2,X3))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1382,f1166]) ).
fof(f29289,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),not(necessarily(implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1382,f3034]) ).
fof(f29293,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(possibly(and(X2,implies(X3,X4))),X1)))) ),
inference(paramodulation,[status(thm)],[f1382,f1355]) ).
fof(f29296,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(possibly(and(X1,implies(X2,X3))),X0)),X4)) ),
inference(paramodulation,[status(thm)],[f1382,f1182]) ).
fof(f29311,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ34_spl
| is_a_theorem(necessarily(implies(X0,implies(possibly(and(X1,implies(X2,X3))),X0)))) ),
inference(paramodulation,[status(thm)],[f1382,f1165]) ).
fof(f29318,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(and(X1,implies(X2,X3))),X0))) ),
inference(paramodulation,[status(thm)],[f1382,f464]) ).
fof(f29374,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),possibly(and(X0,not(and(X1,not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f29289]) ).
fof(f29375,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(and(X0,implies(X1,X2))),possibly(and(X0,implies(X1,X2))))) ),
inference(forward_demodulation,[status(thm)],[f645,f29374]) ).
fof(f29426,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(paramodulation,[status(thm)],[f1317,f1264]) ).
fof(f29431,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),possibly(implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f4858]) ).
fof(f29432,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),possibly(equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f4820]) ).
fof(f29436,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(necessarily(implies(X1,X2)),not(X0)))) ),
inference(paramodulation,[status(thm)],[f1317,f1150]) ).
fof(f29439,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(necessarily(implies(X0,X1)),equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f4574]) ).
fof(f29440,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),equiv(X2,X2))) ),
inference(paramodulation,[status(thm)],[f1317,f3295]) ).
fof(f29446,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),necessarily(implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f3179]) ).
fof(f29447,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),necessarily(equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f3304]) ).
fof(f29451,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),or(X2,not(X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f3188]) ).
fof(f29474,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1317,f1245]) ).
fof(f29475,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1317,f1244]) ).
fof(f29476,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1317,f1248]) ).
fof(f29478,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),implies(X2,implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f1251]) ).
fof(f29488,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(necessarily(implies(X0,X1)),implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f3443]) ).
fof(f29493,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),implies(X2,X2))) ),
inference(paramodulation,[status(thm)],[f1317,f3032]) ).
fof(f29496,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(necessarily(implies(X2,X3)),X1)))) ),
inference(paramodulation,[status(thm)],[f1317,f1251]) ).
fof(f29498,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(necessarily(implies(X1,X2)),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1317,f1181]) ).
fof(f29520,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ40_spl
| is_a_theorem(necessarily(implies(equiv(possibly(and(X0,not(X1))),X2),or(necessarily(implies(X0,X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f1317,f1201]) ).
fof(f29521,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ43_spl
| is_a_theorem(necessarily(implies(equiv(X0,possibly(and(X1,not(X2)))),or(necessarily(implies(X1,X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1317,f1168]) ).
fof(f29528,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(necessarily(implies(X1,X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f1317,f1149]) ).
fof(f29529,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(implies(X0,possibly(and(X1,not(X2)))),implies(or(necessarily(implies(X1,X2)),X0),equiv(X0,possibly(and(X1,not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1317,f1161]) ).
fof(f29530,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ46_spl
| is_a_theorem(necessarily(implies(or(necessarily(implies(X0,X1)),X2),implies(implies(X2,possibly(and(X0,not(X1)))),equiv(possibly(and(X0,not(X1))),X2))))) ),
inference(paramodulation,[status(thm)],[f1317,f1161]) ).
fof(f29555,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ191_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1317,f3447]) ).
fof(f29556,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(necessarily(implies(X1,X2)),X0))) ),
inference(paramodulation,[status(thm)],[f1317,f387]) ).
fof(f29651,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(implies(X0,X1)),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1317,f1253]) ).
fof(f29652,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(necessarily(possibly(X0)),implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1290,f1253]) ).
fof(f29653,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,possibly(X1)),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1304,f1253]) ).
fof(f29654,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X3,or(X3,X4)))) ),
inference(paramodulation,[status(thm)],[f1298,f1253]) ).
fof(f29655,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1047,f1253]) ).
fof(f29676,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,not(X0)),equiv(not(X0),not(X0)))) ),
inference(resolution,[status(thm)],[f2637,f3447]) ).
fof(f29698,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),and(equiv(X0,X0),equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f7566,f1868]) ).
fof(f29699,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7566,f1881]) ).
fof(f29700,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7566,f1882]) ).
fof(f29701,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7566,f1884]) ).
fof(f29702,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7566,f1883]) ).
fof(f29703,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(equiv(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f7566,f1885]) ).
fof(f29704,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(equiv(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f7566,f3015]) ).
fof(f29705,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(equiv(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f7566,f1871]) ).
fof(f29706,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(equiv(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f7566,f1870]) ).
fof(f29707,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7566,f1869]) ).
fof(f29708,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7566,f1872]) ).
fof(f29709,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7566,f1873]) ).
fof(f29710,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7566,f1875]) ).
fof(f29711,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(equiv(X3,X3),equiv(X4,X4)))) ),
inference(resolution,[status(thm)],[f7566,f1877]) ).
fof(f29712,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(equiv(X3,X3),equiv(X4,X4)))) ),
inference(resolution,[status(thm)],[f7566,f1876]) ).
fof(f29713,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7566,f1874]) ).
fof(f29714,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7566,f1878]) ).
fof(f29715,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7566,f1879]) ).
fof(f29716,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7566,f1880]) ).
fof(f29717,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,and(and(equiv(X1,X1),equiv(X2,X2)),X0))) ),
inference(resolution,[status(thm)],[f7566,f1208]) ).
fof(f29718,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(necessarily(possibly(and(equiv(X0,X0),equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f7566,f1152]) ).
fof(f29719,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(and(equiv(X0,X0),equiv(X1,X1)),and(equiv(X0,X0),equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f7566,f3013]) ).
fof(f29720,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,and(equiv(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f7566,f1148]) ).
fof(f29721,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(or(X0,and(equiv(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f7566,f1164]) ).
fof(f29722,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(or(and(equiv(X0,X0),equiv(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f7566,f1142]) ).
fof(f29723,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(necessarily(and(equiv(X0,X0),equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f7566,f666]) ).
fof(f29724,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(and(equiv(X1,X1),equiv(X2,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f7566,f700]) ).
fof(f29727,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),and(equiv(X0,X0),implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f7597,f1868]) ).
fof(f29728,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7597,f1881]) ).
fof(f29729,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7597,f1882]) ).
fof(f29730,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7597,f1884]) ).
fof(f29731,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7597,f1883]) ).
fof(f29732,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(equiv(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f7597,f1885]) ).
fof(f29733,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(equiv(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f7597,f3015]) ).
fof(f29734,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(equiv(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f7597,f1871]) ).
fof(f29735,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(equiv(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f7597,f1870]) ).
fof(f29736,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7597,f1869]) ).
fof(f29737,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7597,f1872]) ).
fof(f29738,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7597,f1873]) ).
fof(f29739,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7597,f1875]) ).
fof(f29740,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(equiv(X3,X3),implies(X4,X4)))) ),
inference(resolution,[status(thm)],[f7597,f1877]) ).
fof(f29741,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(equiv(X3,X3),implies(X4,X4)))) ),
inference(resolution,[status(thm)],[f7597,f1876]) ).
fof(f29742,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7597,f1874]) ).
fof(f29743,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7597,f1878]) ).
fof(f29744,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7597,f1879]) ).
fof(f29745,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7597,f1880]) ).
fof(f29746,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(and(equiv(X1,X1),implies(X2,X2)),X0))) ),
inference(resolution,[status(thm)],[f7597,f1208]) ).
fof(f29747,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(and(equiv(X0,X0),implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f7597,f1152]) ).
fof(f29748,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(and(equiv(X0,X0),implies(X1,X1)),and(equiv(X0,X0),implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f7597,f3013]) ).
fof(f29749,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(equiv(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f7597,f1148]) ).
fof(f29750,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,and(equiv(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f7597,f1164]) ).
fof(f29751,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(equiv(X0,X0),implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f7597,f1142]) ).
fof(f29752,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(and(equiv(X0,X0),implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f7597,f666]) ).
fof(f29753,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(and(equiv(X1,X1),implies(X2,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f7597,f700]) ).
fof(f29754,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(necessarily(implies(X1,X2)),possibly(and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1317,f7597]) ).
fof(f29755,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(necessarily(possibly(X1)),possibly(necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1290,f7597]) ).
fof(f29756,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(and(X1,possibly(X2)),implies(X1,necessarily(not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1304,f7597]) ).
fof(f29757,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(and(X1,implies(X2,X3)),implies(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f1298,f7597]) ).
fof(f29759,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),not(and(and(not(X1),not(X2)),or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f7597]) ).
fof(f29760,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),and(equiv(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3290,f7597]) ).
fof(f29761,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),and(equiv(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f3290,f7566]) ).
fof(f29764,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),possibly(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f3290,f11303]) ).
fof(f29765,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),possibly(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3290,f11128]) ).
fof(f29766,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),possibly(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3290,f10589]) ).
fof(f29768,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),possibly(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f3290,f11304]) ).
fof(f29774,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(or(implies(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f3290,f3311]) ).
fof(f29775,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),or(or(equiv(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f3290,f4557]) ).
fof(f29776,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(or(X1,implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3290,f3424]) ).
fof(f29777,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),or(or(X1,equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3290,f4563]) ).
fof(f29802,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f3290,f1356]) ).
fof(f29803,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f3290,f1355]) ).
fof(f29815,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(possibly(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f3290,f3185]) ).
fof(f29816,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(possibly(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3290,f3176]) ).
fof(f29817,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(possibly(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3290,f3301]) ).
fof(f29818,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(possibly(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f3290,f1967]) ).
fof(f29821,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(necessarily(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f3290,f2009]) ).
fof(f29866,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(and(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f3290,f12152]) ).
fof(f29880,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f3290,f1245]) ).
fof(f29881,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f3290,f1244]) ).
fof(f29883,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f3290,f1253]) ).
fof(f29884,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f3290,f1252]) ).
fof(f29885,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f3290,f1251]) ).
fof(f29895,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f7801,f1170]) ).
fof(f29897,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),and(implies(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f7801,f3290]) ).
fof(f29898,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),and(implies(X0,X0),equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f7801,f1868]) ).
fof(f29899,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7801,f1881]) ).
fof(f29900,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7801,f1882]) ).
fof(f29901,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7801,f1884]) ).
fof(f29902,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7801,f1883]) ).
fof(f29903,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(implies(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f7801,f1885]) ).
fof(f29904,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(implies(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f7801,f3015]) ).
fof(f29905,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(implies(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f7801,f1871]) ).
fof(f29906,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(implies(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f7801,f1870]) ).
fof(f29907,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7801,f1869]) ).
fof(f29908,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7801,f1872]) ).
fof(f29909,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7801,f1873]) ).
fof(f29910,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7801,f1875]) ).
fof(f29911,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(implies(X3,X3),equiv(X4,X4)))) ),
inference(resolution,[status(thm)],[f7801,f1877]) ).
fof(f29912,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(implies(X3,X3),equiv(X4,X4)))) ),
inference(resolution,[status(thm)],[f7801,f1876]) ).
fof(f29913,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7801,f1874]) ).
fof(f29914,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7801,f1878]) ).
fof(f29915,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7801,f1879]) ).
fof(f29916,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f7801,f1880]) ).
fof(f29917,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,and(and(implies(X1,X1),equiv(X2,X2)),X0))) ),
inference(resolution,[status(thm)],[f7801,f1208]) ).
fof(f29918,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(necessarily(possibly(and(implies(X0,X0),equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f7801,f1152]) ).
fof(f29919,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(and(implies(X0,X0),equiv(X1,X1)),and(implies(X0,X0),equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f7801,f3013]) ).
fof(f29920,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(implies(X0,and(implies(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f7801,f1148]) ).
fof(f29921,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(or(X0,and(implies(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f7801,f1164]) ).
fof(f29922,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(or(and(implies(X0,X0),equiv(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f7801,f1142]) ).
fof(f29923,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(necessarily(and(implies(X0,X0),equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f7801,f666]) ).
fof(f29924,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(and(implies(X1,X1),equiv(X2,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f7801,f700]) ).
fof(f29925,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))),equiv(X2,X2))) ),
inference(paramodulation,[status(thm)],[f1317,f7801]) ).
fof(f29926,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(or(necessarily(possibly(X0)),possibly(necessarily(not(X0)))),equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1290,f7801]) ).
fof(f29927,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))),equiv(X2,X2))) ),
inference(paramodulation,[status(thm)],[f1304,f7801]) ).
fof(f29928,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))),equiv(X3,X3))) ),
inference(paramodulation,[status(thm)],[f1298,f7801]) ).
fof(f29929,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,not(X0)),equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f7801]) ).
fof(f29930,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(not(and(and(not(X0),not(X1)),or(X0,X1))),equiv(X2,X2))) ),
inference(paramodulation,[status(thm)],[f1296,f7801]) ).
fof(f30015,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f2987,f1194]) ).
fof(f30026,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(and(X3,X4),X4))) ),
inference(resolution,[status(thm)],[f2987,f1176]) ).
fof(f30027,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(and(X3,X4),X3))) ),
inference(resolution,[status(thm)],[f2987,f1175]) ).
fof(f30028,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(necessarily(X3),X3))) ),
inference(resolution,[status(thm)],[f2987,f1179]) ).
fof(f30029,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(X3,or(X3,X4)))) ),
inference(resolution,[status(thm)],[f2987,f1183]) ).
fof(f30030,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(X3,or(X4,X3)))) ),
inference(resolution,[status(thm)],[f2987,f1182]) ).
fof(f30066,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f2986,f1194]) ).
fof(f30077,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f2986,f1176]) ).
fof(f30078,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f2986,f1175]) ).
fof(f30079,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f2986,f1179]) ).
fof(f30080,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f2986,f1183]) ).
fof(f30081,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f2986,f1182]) ).
fof(f30111,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ191_spl
| is_a_theorem(and(equiv(X0,X0),and(implies(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f7836,f3290]) ).
fof(f30112,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),and(implies(X0,X0),implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f7836,f1868]) ).
fof(f30113,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7836,f1881]) ).
fof(f30114,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7836,f1882]) ).
fof(f30115,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7836,f1884]) ).
fof(f30116,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7836,f1883]) ).
fof(f30117,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(implies(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f7836,f1885]) ).
fof(f30118,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(implies(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f7836,f3015]) ).
fof(f30119,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(implies(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f7836,f1871]) ).
fof(f30120,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(implies(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f7836,f1870]) ).
fof(f30121,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7836,f1869]) ).
fof(f30122,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7836,f1872]) ).
fof(f30123,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7836,f1873]) ).
fof(f30124,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7836,f1875]) ).
fof(f30125,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(implies(X3,X3),implies(X4,X4)))) ),
inference(resolution,[status(thm)],[f7836,f1877]) ).
fof(f30126,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(implies(X3,X3),implies(X4,X4)))) ),
inference(resolution,[status(thm)],[f7836,f1876]) ).
fof(f30127,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7836,f1874]) ).
fof(f30128,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7836,f1878]) ).
fof(f30129,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7836,f1879]) ).
fof(f30130,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f7836,f1880]) ).
fof(f30131,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(and(implies(X1,X1),implies(X2,X2)),X0))) ),
inference(resolution,[status(thm)],[f7836,f1208]) ).
fof(f30132,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(and(implies(X0,X0),implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f7836,f1152]) ).
fof(f30133,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(and(implies(X0,X0),implies(X1,X1)),and(implies(X0,X0),implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f7836,f3013]) ).
fof(f30134,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(implies(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f7836,f1148]) ).
fof(f30135,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,and(implies(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f7836,f1164]) ).
fof(f30136,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(and(implies(X0,X0),implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f7836,f1142]) ).
fof(f30137,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(and(implies(X0,X0),implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f7836,f666]) ).
fof(f30138,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ191_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(and(implies(X1,X1),implies(X2,X2)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f7836,f700]) ).
fof(f30139,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(paramodulation,[status(thm)],[f659,f7836]) ).
fof(f30140,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))),implies(X2,X2))) ),
inference(paramodulation,[status(thm)],[f1317,f7836]) ).
fof(f30141,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(or(necessarily(possibly(X0)),possibly(necessarily(not(X0)))),implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1290,f7836]) ).
fof(f30142,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))),implies(X2,X2))) ),
inference(paramodulation,[status(thm)],[f1304,f7836]) ).
fof(f30143,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))),implies(X3,X3))) ),
inference(paramodulation,[status(thm)],[f1298,f7836]) ).
fof(f30144,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(or(X0,not(X0)),implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f7836]) ).
fof(f30145,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(not(and(and(not(X0),not(X1)),or(X0,X1))),implies(X2,X2))) ),
inference(paramodulation,[status(thm)],[f1296,f7836]) ).
fof(f30146,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(necessarily(implies(X1,X2)),possibly(and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1317,f7836]) ).
fof(f30147,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(necessarily(possibly(X1)),possibly(necessarily(not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1290,f7836]) ).
fof(f30148,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(and(X1,possibly(X2)),implies(X1,necessarily(not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1304,f7836]) ).
fof(f30149,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(and(X1,implies(X2,X3)),implies(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f1298,f7836]) ).
fof(f30151,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),not(and(and(not(X1),not(X2)),or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f1296,f7836]) ).
fof(f30152,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f2391,f1194]) ).
fof(f30163,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f2391,f1176]) ).
fof(f30164,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f2391,f1175]) ).
fof(f30165,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f2391,f1179]) ).
fof(f30166,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f2391,f1183]) ).
fof(f30167,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f2391,f1182]) ).
fof(f30203,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),and(implies(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3028,f7836]) ).
fof(f30204,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),and(implies(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f3028,f7801]) ).
fof(f30205,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,X0),and(equiv(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3028,f7597]) ).
fof(f30206,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),and(equiv(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f3028,f7566]) ).
fof(f30209,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),possibly(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f3028,f11303]) ).
fof(f30210,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),possibly(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3028,f11128]) ).
fof(f30211,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),possibly(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f3028,f10589]) ).
fof(f30213,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),possibly(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f3028,f11304]) ).
fof(f30219,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(or(implies(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f3028,f3311]) ).
fof(f30220,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(or(equiv(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f3028,f4557]) ).
fof(f30221,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(or(X1,implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3028,f3424]) ).
fof(f30222,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),or(or(X1,equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3028,f4563]) ).
fof(f30247,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f3028,f1356]) ).
fof(f30248,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),or(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f3028,f1355]) ).
fof(f30260,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(possibly(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f3028,f3185]) ).
fof(f30261,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(possibly(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3028,f3176]) ).
fof(f30262,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),necessarily(possibly(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3028,f3301]) ).
fof(f30263,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(possibly(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f3028,f1967]) ).
fof(f30266,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),necessarily(necessarily(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f3028,f2009]) ).
fof(f30311,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ98_spl
| is_a_theorem(and(implies(X0,X0),implies(and(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f3028,f12152]) ).
fof(f30325,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f3028,f1245]) ).
fof(f30326,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f3028,f1244]) ).
fof(f30328,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f3028,f1253]) ).
fof(f30329,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f3028,f1252]) ).
fof(f30330,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f3028,f1251]) ).
fof(f30341,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,X0),necessarily(necessarily(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4757,f3028]) ).
fof(f30342,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(necessarily(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4757,f3290]) ).
fof(f30343,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(necessarily(possibly(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4757,f1868]) ).
fof(f30344,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4757,f1881]) ).
fof(f30345,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4757,f1882]) ).
fof(f30346,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4757,f1884]) ).
fof(f30347,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4757,f1883]) ).
fof(f30348,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(necessarily(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4757,f1885]) ).
fof(f30349,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(necessarily(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4757,f3015]) ).
fof(f30350,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(necessarily(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4757,f1871]) ).
fof(f30351,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(necessarily(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4757,f1870]) ).
fof(f30352,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4757,f1869]) ).
fof(f30353,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4757,f1872]) ).
fof(f30354,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4757,f1873]) ).
fof(f30355,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4757,f1875]) ).
fof(f30356,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(necessarily(possibly(equiv(X3,X3)))))) ),
inference(resolution,[status(thm)],[f4757,f1877]) ).
fof(f30357,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(necessarily(possibly(equiv(X3,X3)))))) ),
inference(resolution,[status(thm)],[f4757,f1876]) ).
fof(f30358,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4757,f1874]) ).
fof(f30359,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4757,f1878]) ).
fof(f30360,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4757,f1879]) ).
fof(f30361,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4757,f1880]) ).
fof(f30362,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(possibly(equiv(X1,X1)))),X0))) ),
inference(resolution,[status(thm)],[f4757,f1208]) ).
fof(f30363,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(necessarily(necessarily(possibly(equiv(X0,X0))))))) ),
inference(resolution,[status(thm)],[f4757,f1152]) ).
fof(f30364,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(necessarily(possibly(equiv(X0,X0)))),necessarily(necessarily(possibly(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4757,f3013]) ).
fof(f30365,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,necessarily(necessarily(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4757,f1148]) ).
fof(f30366,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,necessarily(necessarily(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4757,f1164]) ).
fof(f30367,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(necessarily(possibly(equiv(X0,X0)))),X1)) ),
inference(resolution,[status(thm)],[f4757,f1142]) ).
fof(f30368,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(necessarily(necessarily(possibly(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4757,f666]) ).
fof(f30369,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(necessarily(possibly(equiv(X1,X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4757,f700]) ).
fof(f30371,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,X0),necessarily(necessarily(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4854,f3028]) ).
fof(f30372,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ116_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(necessarily(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4854,f3290]) ).
fof(f30373,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(necessarily(possibly(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4854,f1868]) ).
fof(f30374,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4854,f1881]) ).
fof(f30375,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4854,f1882]) ).
fof(f30376,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4854,f1884]) ).
fof(f30377,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4854,f1883]) ).
fof(f30378,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(necessarily(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4854,f1885]) ).
fof(f30379,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(necessarily(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4854,f3015]) ).
fof(f30380,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(necessarily(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4854,f1871]) ).
fof(f30381,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(necessarily(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4854,f1870]) ).
fof(f30382,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4854,f1869]) ).
fof(f30383,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4854,f1872]) ).
fof(f30384,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4854,f1873]) ).
fof(f30385,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4854,f1875]) ).
fof(f30386,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(necessarily(possibly(implies(X3,X3)))))) ),
inference(resolution,[status(thm)],[f4854,f1877]) ).
fof(f30387,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(necessarily(possibly(implies(X3,X3)))))) ),
inference(resolution,[status(thm)],[f4854,f1876]) ).
fof(f30388,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4854,f1874]) ).
fof(f30389,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4854,f1878]) ).
fof(f30390,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4854,f1879]) ).
fof(f30391,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4854,f1880]) ).
fof(f30392,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(possibly(implies(X1,X1)))),X0))) ),
inference(resolution,[status(thm)],[f4854,f1208]) ).
fof(f30393,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(necessarily(possibly(implies(X0,X0))))))) ),
inference(resolution,[status(thm)],[f4854,f1152]) ).
fof(f30394,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(necessarily(possibly(implies(X0,X0)))),necessarily(necessarily(possibly(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4854,f3013]) ).
fof(f30395,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(necessarily(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4854,f1148]) ).
fof(f30396,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(necessarily(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4854,f1164]) ).
fof(f30397,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(necessarily(possibly(implies(X0,X0)))),X1)) ),
inference(resolution,[status(thm)],[f4854,f1142]) ).
fof(f30398,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(necessarily(possibly(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4854,f666]) ).
fof(f30399,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(necessarily(possibly(implies(X1,X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4854,f700]) ).
fof(f30400,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(possibly(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1317,f4854]) ).
fof(f30401,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(possibly(or(necessarily(possibly(X0)),possibly(necessarily(not(X0)))))))) ),
inference(paramodulation,[status(thm)],[f1290,f4854]) ).
fof(f30402,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(possibly(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1304,f4854]) ).
fof(f30403,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(possibly(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1298,f4854]) ).
fof(f30405,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(possibly(not(and(and(not(X0),not(X1)),or(X0,X1))))))) ),
inference(paramodulation,[status(thm)],[f1296,f4854]) ).
fof(f30407,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,X0),necessarily(necessarily(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4740,f3028]) ).
fof(f30408,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ89_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(necessarily(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4740,f3290]) ).
fof(f30409,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(necessarily(necessarily(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4740,f1868]) ).
fof(f30410,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4740,f1881]) ).
fof(f30411,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4740,f1882]) ).
fof(f30412,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4740,f1884]) ).
fof(f30413,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4740,f1883]) ).
fof(f30414,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(necessarily(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4740,f1885]) ).
fof(f30415,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(necessarily(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4740,f3015]) ).
fof(f30416,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(necessarily(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4740,f1871]) ).
fof(f30417,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(necessarily(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4740,f1870]) ).
fof(f30418,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4740,f1869]) ).
fof(f30419,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4740,f1872]) ).
fof(f30420,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4740,f1873]) ).
fof(f30421,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4740,f1875]) ).
fof(f30422,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(necessarily(necessarily(equiv(X3,X3)))))) ),
inference(resolution,[status(thm)],[f4740,f1877]) ).
fof(f30423,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(necessarily(necessarily(equiv(X3,X3)))))) ),
inference(resolution,[status(thm)],[f4740,f1876]) ).
fof(f30424,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4740,f1874]) ).
fof(f30425,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4740,f1878]) ).
fof(f30426,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4740,f1879]) ).
fof(f30427,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4740,f1880]) ).
fof(f30428,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(necessarily(equiv(X1,X1)))),X0))) ),
inference(resolution,[status(thm)],[f4740,f1208]) ).
fof(f30429,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(necessarily(necessarily(necessarily(equiv(X0,X0))))))) ),
inference(resolution,[status(thm)],[f4740,f1152]) ).
fof(f30430,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(necessarily(necessarily(equiv(X0,X0)))),necessarily(necessarily(necessarily(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4740,f3013]) ).
fof(f30431,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,necessarily(necessarily(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4740,f1148]) ).
fof(f30432,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,necessarily(necessarily(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4740,f1164]) ).
fof(f30433,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(necessarily(necessarily(equiv(X0,X0)))),X1)) ),
inference(resolution,[status(thm)],[f4740,f1142]) ).
fof(f30434,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(necessarily(necessarily(necessarily(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4740,f666]) ).
fof(f30435,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(necessarily(necessarily(equiv(X1,X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4740,f700]) ).
fof(f30436,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f2989,f1194]) ).
fof(f30447,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f2989,f1176]) ).
fof(f30448,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f2989,f1175]) ).
fof(f30449,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f2989,f1179]) ).
fof(f30450,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f2989,f1183]) ).
fof(f30451,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f2989,f1182]) ).
fof(f30480,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(necessarily(implies(X1,X1)))),equiv(not(necessarily(implies(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f2432,f3177]) ).
fof(f30490,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(strict_equiv(sK60_skl,sK61_skl),not(X0)),equiv(not(X0),strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f2432,f1367]) ).
fof(f30500,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(and(X0,X1),X1),not(X2)),equiv(not(X2),implies(and(X0,X1),X1)))) ),
inference(resolution,[status(thm)],[f2432,f1345]) ).
fof(f30501,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(and(X0,X1),X0),not(X2)),equiv(not(X2),implies(and(X0,X1),X0)))) ),
inference(resolution,[status(thm)],[f2432,f1344]) ).
fof(f30502,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(necessarily(X0),X0),not(X1)),equiv(not(X1),implies(necessarily(X0),X0)))) ),
inference(resolution,[status(thm)],[f2432,f1348]) ).
fof(f30503,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,or(X0,X1)),not(X2)),equiv(not(X2),implies(X0,or(X0,X1))))) ),
inference(resolution,[status(thm)],[f2432,f1356]) ).
fof(f30504,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,or(X1,X0)),not(X2)),equiv(not(X2),implies(X0,or(X1,X0))))) ),
inference(resolution,[status(thm)],[f2432,f1355]) ).
fof(f30509,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(not(X0),not(X0)),equiv(not(X0),not(X0)))) ),
inference(resolution,[status(thm)],[f2432,f3034]) ).
fof(f30522,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,not(X0)),equiv(not(X0),not(X0)))) ),
inference(forward_demodulation,[status(thm)],[f1047,f30509]) ).
fof(f30559,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(strict_equiv(sK60_skl,sK61_skl),X1))) ),
inference(resolution,[status(thm)],[f2485,f1194]) ).
fof(f30570,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(and(X2,X3),X3),X1))) ),
inference(resolution,[status(thm)],[f2485,f1176]) ).
fof(f30571,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(and(X2,X3),X2),X1))) ),
inference(resolution,[status(thm)],[f2485,f1175]) ).
fof(f30572,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(necessarily(X2),X2),X1))) ),
inference(resolution,[status(thm)],[f2485,f1179]) ).
fof(f30573,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(X2,or(X2,X3)),X1))) ),
inference(resolution,[status(thm)],[f2485,f1183]) ).
fof(f30574,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(X2,or(X3,X2)),X1))) ),
inference(resolution,[status(thm)],[f2485,f1182]) ).
fof(f30596,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(not(X0),X1),or(X0,X1))) ),
inference(resolution,[status(thm)],[f2485,f3034]) ).
fof(f30607,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),or(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f1047,f30596]) ).
fof(f30626,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(necessarily(implies(X2,X2))),X0),X1))) ),
inference(resolution,[status(thm)],[f2544,f3177]) ).
fof(f30636,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,strict_equiv(sK60_skl,sK61_skl)),implies(or(not(X1),X0),strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f2544,f1367]) ).
fof(f30646,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(and(X1,X2),X2)),implies(or(not(X3),X0),implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f2544,f1345]) ).
fof(f30647,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(and(X1,X2),X1)),implies(or(not(X3),X0),implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f2544,f1344]) ).
fof(f30648,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(necessarily(X1),X1)),implies(or(not(X2),X0),implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f2544,f1348]) ).
fof(f30649,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,or(X1,X2))),implies(or(not(X3),X0),implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f2544,f1356]) ).
fof(f30650,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,or(X2,X1))),implies(or(not(X3),X0),implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f2544,f1355]) ).
fof(f30686,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ89_spl
| is_a_theorem(and(implies(X0,X0),necessarily(necessarily(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4748,f3028]) ).
fof(f30687,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ89_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(necessarily(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4748,f3290]) ).
fof(f30688,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(necessarily(necessarily(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4748,f1868]) ).
fof(f30689,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4748,f1881]) ).
fof(f30690,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4748,f1882]) ).
fof(f30691,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4748,f1884]) ).
fof(f30692,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4748,f1883]) ).
fof(f30693,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(necessarily(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4748,f1885]) ).
fof(f30694,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(necessarily(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4748,f3015]) ).
fof(f30695,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(necessarily(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4748,f1871]) ).
fof(f30696,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(necessarily(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4748,f1870]) ).
fof(f30697,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4748,f1869]) ).
fof(f30698,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4748,f1872]) ).
fof(f30699,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4748,f1873]) ).
fof(f30700,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4748,f1875]) ).
fof(f30701,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(necessarily(necessarily(implies(X3,X3)))))) ),
inference(resolution,[status(thm)],[f4748,f1877]) ).
fof(f30702,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(necessarily(necessarily(implies(X3,X3)))))) ),
inference(resolution,[status(thm)],[f4748,f1876]) ).
fof(f30703,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4748,f1874]) ).
fof(f30704,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4748,f1878]) ).
fof(f30705,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4748,f1879]) ).
fof(f30706,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4748,f1880]) ).
fof(f30707,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(necessarily(implies(X1,X1)))),X0))) ),
inference(resolution,[status(thm)],[f4748,f1208]) ).
fof(f30708,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(necessarily(necessarily(implies(X0,X0))))))) ),
inference(resolution,[status(thm)],[f4748,f1152]) ).
fof(f30709,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(necessarily(necessarily(implies(X0,X0)))),necessarily(necessarily(necessarily(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4748,f3013]) ).
fof(f30710,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(necessarily(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4748,f1148]) ).
fof(f30711,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(necessarily(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4748,f1164]) ).
fof(f30712,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(necessarily(necessarily(implies(X0,X0)))),X1)) ),
inference(resolution,[status(thm)],[f4748,f1142]) ).
fof(f30713,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(necessarily(necessarily(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4748,f666]) ).
fof(f30714,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(necessarily(necessarily(implies(X1,X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4748,f700]) ).
fof(f30715,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(necessarily(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1317,f4748]) ).
fof(f30716,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(necessarily(or(necessarily(possibly(X0)),possibly(necessarily(not(X0)))))))) ),
inference(paramodulation,[status(thm)],[f1290,f4748]) ).
fof(f30717,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(necessarily(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1304,f4748]) ).
fof(f30718,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(necessarily(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1298,f4748]) ).
fof(f30719,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(necessarily(or(X0,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f1047,f4748]) ).
fof(f30720,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(necessarily(not(and(and(not(X0),not(X1)),or(X0,X1))))))) ),
inference(paramodulation,[status(thm)],[f1296,f4748]) ).
fof(f30723,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,X0),and(not(and(not(X1),or(X1,X1))),not(and(not(X1),or(X1,X1)))))) ),
inference(resolution,[status(thm)],[f21009,f3028]) ).
fof(f30724,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(equiv(X0,X0),and(not(and(not(X1),or(X1,X1))),not(and(not(X1),or(X1,X1)))))) ),
inference(resolution,[status(thm)],[f21009,f3290]) ).
fof(f30725,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),and(not(and(not(X0),or(X0,X0))),not(and(not(X0),or(X0,X0)))))) ),
inference(resolution,[status(thm)],[f21009,f1868]) ).
fof(f30726,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f21009,f1881]) ).
fof(f30727,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f21009,f1882]) ).
fof(f30728,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f21009,f1884]) ).
fof(f30729,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f21009,f1883]) ).
fof(f30730,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(not(and(not(X1),or(X1,X1))),not(and(not(X1),or(X1,X1)))))) ),
inference(resolution,[status(thm)],[f21009,f1885]) ).
fof(f30731,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(not(and(not(X1),or(X1,X1))),not(and(not(X1),or(X1,X1)))))) ),
inference(resolution,[status(thm)],[f21009,f3015]) ).
fof(f30732,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(not(and(not(X1),or(X1,X1))),not(and(not(X1),or(X1,X1)))))) ),
inference(resolution,[status(thm)],[f21009,f1871]) ).
fof(f30733,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(not(and(not(X1),or(X1,X1))),not(and(not(X1),or(X1,X1)))))) ),
inference(resolution,[status(thm)],[f21009,f1870]) ).
fof(f30734,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f21009,f1869]) ).
fof(f30735,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f21009,f1872]) ).
fof(f30736,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f21009,f1873]) ).
fof(f30737,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f21009,f1875]) ).
fof(f30738,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(not(and(not(X3),or(X3,X3))),not(and(not(X3),or(X3,X3)))))) ),
inference(resolution,[status(thm)],[f21009,f1877]) ).
fof(f30739,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(not(and(not(X3),or(X3,X3))),not(and(not(X3),or(X3,X3)))))) ),
inference(resolution,[status(thm)],[f21009,f1876]) ).
fof(f30740,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f21009,f1874]) ).
fof(f30741,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f21009,f1878]) ).
fof(f30742,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f21009,f1879]) ).
fof(f30743,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f21009,f1880]) ).
fof(f30744,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,and(and(not(and(not(X1),or(X1,X1))),not(and(not(X1),or(X1,X1)))),X0))) ),
inference(resolution,[status(thm)],[f21009,f1208]) ).
fof(f30745,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(possibly(and(not(and(not(X0),or(X0,X0))),not(and(not(X0),or(X0,X0))))))) ),
inference(resolution,[status(thm)],[f21009,f1152]) ).
fof(f30746,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(and(not(and(not(X0),or(X0,X0))),not(and(not(X0),or(X0,X0)))),and(not(and(not(X0),or(X0,X0))),not(and(not(X0),or(X0,X0)))))) ),
inference(resolution,[status(thm)],[f21009,f3013]) ).
fof(f30747,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,and(not(and(not(X1),or(X1,X1))),not(and(not(X1),or(X1,X1)))))) ),
inference(resolution,[status(thm)],[f21009,f1148]) ).
fof(f30748,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X0,and(not(and(not(X1),or(X1,X1))),not(and(not(X1),or(X1,X1)))))) ),
inference(resolution,[status(thm)],[f21009,f1164]) ).
fof(f30749,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(and(not(and(not(X0),or(X0,X0))),not(and(not(X0),or(X0,X0)))),X1)) ),
inference(resolution,[status(thm)],[f21009,f1142]) ).
fof(f30750,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(necessarily(and(not(and(not(X0),or(X0,X0))),not(and(not(X0),or(X0,X0)))))) ),
inference(resolution,[status(thm)],[f21009,f666]) ).
fof(f30751,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(and(not(and(not(X1),or(X1,X1))),not(and(not(X1),or(X1,X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f21009,f700]) ).
fof(f30752,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| is_a_theorem(and(not(and(implies(X0,necessarily(not(X1))),or(and(X0,possibly(X1)),and(X0,possibly(X1))))),not(and(not(and(X0,possibly(X1))),or(and(X0,possibly(X1)),and(X0,possibly(X1))))))) ),
inference(paramodulation,[status(thm)],[f1116,f21009]) ).
fof(f30753,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| is_a_theorem(and(not(and(implies(X0,and(X1,not(X2))),or(and(X0,implies(X1,X2)),and(X0,implies(X1,X2))))),not(and(not(and(X0,implies(X1,X2))),or(and(X0,implies(X1,X2)),and(X0,implies(X1,X2))))))) ),
inference(paramodulation,[status(thm)],[f1115,f21009]) ).
fof(f30755,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| is_a_theorem(and(not(and(possibly(and(X0,not(X1))),or(necessarily(implies(X0,X1)),necessarily(implies(X0,X1))))),not(and(not(necessarily(implies(X0,X1))),or(necessarily(implies(X0,X1)),necessarily(implies(X0,X1))))))) ),
inference(paramodulation,[status(thm)],[f1117,f21009]) ).
fof(f30756,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(possibly(necessarily(not(X0))),or(necessarily(possibly(X0)),necessarily(possibly(X0))))),not(and(not(necessarily(possibly(X0))),or(necessarily(possibly(X0)),necessarily(possibly(X0))))))) ),
inference(paramodulation,[status(thm)],[f1114,f21009]) ).
fof(f30784,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ164_spl
| is_a_theorem(necessarily(not(necessarily(or(and(not(X0),or(X0,X0)),and(not(X0),or(X0,X0))))))) ),
inference(forward_demodulation,[status(thm)],[f1315,f30745]) ).
fof(f30785,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(not(and(X0,or(and(not(X1),or(X1,X1)),and(not(X1),or(X1,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1296,f30747]) ).
fof(f30786,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(not(and(not(X0),or(and(not(X1),or(X1,X1)),and(not(X1),or(X1,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f20726,f30748]) ).
fof(f30787,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(implies(not(and(not(X0),or(X0,X0))),and(not(X0),or(X0,X0))),X1)) ),
inference(forward_demodulation,[status(thm)],[f1118,f30749]) ).
fof(f30788,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(and(not(X0),or(X0,X0)),and(not(X0),or(X0,X0))),X1)) ),
inference(forward_demodulation,[status(thm)],[f1047,f30787]) ).
fof(f30789,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| is_a_theorem(and(not(and(implies(X0,necessarily(not(X1))),or(and(X0,possibly(X1)),and(X0,possibly(X1))))),not(and(implies(X0,necessarily(not(X1))),or(and(X0,possibly(X1)),and(X0,possibly(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f30752]) ).
fof(f30790,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| is_a_theorem(and(not(and(implies(X0,and(X1,not(X2))),or(and(X0,implies(X1,X2)),and(X0,implies(X1,X2))))),not(and(implies(X0,and(X1,not(X2))),or(and(X0,implies(X1,X2)),and(X0,implies(X1,X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f30753]) ).
fof(f30797,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| is_a_theorem(and(not(and(possibly(and(X0,not(X1))),or(necessarily(implies(X0,X1)),necessarily(implies(X0,X1))))),not(and(possibly(and(X0,not(X1))),or(necessarily(implies(X0,X1)),necessarily(implies(X0,X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f30755]) ).
fof(f30798,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(possibly(necessarily(not(X0))),or(necessarily(possibly(X0)),necessarily(possibly(X0))))),not(and(possibly(necessarily(not(X0))),or(necessarily(possibly(X0)),necessarily(possibly(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f30756]) ).
fof(f31030,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| is_a_theorem(and(implies(X0,X0),necessarily(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f4750,f3028]) ).
fof(f31031,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f4750,f3290]) ).
fof(f31032,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(necessarily(or(X0,not(X0)))))) ),
inference(resolution,[status(thm)],[f4750,f1868]) ).
fof(f31033,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f4750,f1881]) ).
fof(f31034,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f4750,f1882]) ).
fof(f31035,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f4750,f1884]) ).
fof(f31036,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f4750,f1883]) ).
fof(f31037,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f4750,f1885]) ).
fof(f31038,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f4750,f3015]) ).
fof(f31039,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f4750,f1871]) ).
fof(f31040,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f4750,f1870]) ).
fof(f31041,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f4750,f1869]) ).
fof(f31042,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f4750,f1872]) ).
fof(f31043,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f4750,f1873]) ).
fof(f31044,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f4750,f1875]) ).
fof(f31045,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(necessarily(or(X3,not(X3)))))) ),
inference(resolution,[status(thm)],[f4750,f1877]) ).
fof(f31046,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(necessarily(or(X3,not(X3)))))) ),
inference(resolution,[status(thm)],[f4750,f1876]) ).
fof(f31047,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f4750,f1874]) ).
fof(f31048,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f4750,f1878]) ).
fof(f31049,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f4750,f1879]) ).
fof(f31050,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f4750,f1880]) ).
fof(f31051,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(or(X1,not(X1)))),X0))) ),
inference(resolution,[status(thm)],[f4750,f1208]) ).
fof(f31052,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(necessarily(or(X0,not(X0))))))) ),
inference(resolution,[status(thm)],[f4750,f1152]) ).
fof(f31053,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(necessarily(or(X0,not(X0)))),necessarily(necessarily(or(X0,not(X0)))))) ),
inference(resolution,[status(thm)],[f4750,f3013]) ).
fof(f31054,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f4750,f1148]) ).
fof(f31055,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f4750,f1164]) ).
fof(f31056,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(necessarily(or(X0,not(X0)))),X1)) ),
inference(resolution,[status(thm)],[f4750,f1142]) ).
fof(f31058,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(necessarily(or(X1,not(X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4750,f700]) ).
fof(f31095,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(possibly(possibly(equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f4819,f1131]) ).
fof(f31096,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,X0),necessarily(possibly(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4819,f3028]) ).
fof(f31097,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ116_spl
| ~ sQ110_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(possibly(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4819,f3290]) ).
fof(f31098,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(possibly(possibly(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4819,f1868]) ).
fof(f31099,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4819,f1881]) ).
fof(f31100,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4819,f1882]) ).
fof(f31101,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4819,f1884]) ).
fof(f31102,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4819,f1883]) ).
fof(f31103,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(possibly(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4819,f1885]) ).
fof(f31104,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(possibly(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4819,f3015]) ).
fof(f31105,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(possibly(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4819,f1871]) ).
fof(f31106,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(possibly(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4819,f1870]) ).
fof(f31107,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4819,f1869]) ).
fof(f31108,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4819,f1872]) ).
fof(f31109,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4819,f1873]) ).
fof(f31110,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4819,f1875]) ).
fof(f31111,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(possibly(possibly(equiv(X3,X3)))))) ),
inference(resolution,[status(thm)],[f4819,f1877]) ).
fof(f31112,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(possibly(possibly(equiv(X3,X3)))))) ),
inference(resolution,[status(thm)],[f4819,f1876]) ).
fof(f31113,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4819,f1874]) ).
fof(f31114,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4819,f1878]) ).
fof(f31115,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4819,f1879]) ).
fof(f31116,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4819,f1880]) ).
fof(f31117,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(necessarily(possibly(possibly(equiv(X1,X1)))),X0))) ),
inference(resolution,[status(thm)],[f4819,f1208]) ).
fof(f31118,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(necessarily(possibly(possibly(equiv(X0,X0))))))) ),
inference(resolution,[status(thm)],[f4819,f1152]) ).
fof(f31119,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(possibly(possibly(equiv(X0,X0)))),necessarily(possibly(possibly(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4819,f3013]) ).
fof(f31120,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,necessarily(possibly(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4819,f1148]) ).
fof(f31121,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,necessarily(possibly(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4819,f1164]) ).
fof(f31122,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(necessarily(possibly(possibly(equiv(X0,X0)))),X1)) ),
inference(resolution,[status(thm)],[f4819,f1142]) ).
fof(f31123,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(necessarily(possibly(possibly(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4819,f666]) ).
fof(f31124,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(necessarily(possibly(possibly(equiv(X1,X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4819,f700]) ).
fof(f31125,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,X0),possibly(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f31095,f3028]) ).
fof(f31126,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(equiv(X0,X0),possibly(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f31095,f3290]) ).
fof(f31127,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),possibly(possibly(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f31095,f1868]) ).
fof(f31128,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f31095,f1881]) ).
fof(f31129,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f31095,f1882]) ).
fof(f31130,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f31095,f1884]) ).
fof(f31131,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f31095,f1883]) ).
fof(f31132,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),possibly(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f31095,f1885]) ).
fof(f31133,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),possibly(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f31095,f3015]) ).
fof(f31134,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),X0),possibly(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f31095,f1871]) ).
fof(f31135,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),possibly(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f31095,f1870]) ).
fof(f31136,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f31095,f1869]) ).
fof(f31137,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X1),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f31095,f1872]) ).
fof(f31138,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(and(X0,X1),X0),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f31095,f1873]) ).
fof(f31139,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f31095,f1875]) ).
fof(f31140,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),possibly(possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f31095,f1877]) ).
fof(f31141,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),possibly(possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f31095,f1876]) ).
fof(f31142,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f31095,f1874]) ).
fof(f31143,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f31095,f1878]) ).
fof(f31144,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f31095,f1879]) ).
fof(f31145,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f31095,f1880]) ).
fof(f31146,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(possibly(possibly(equiv(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f31095,f1208]) ).
fof(f31147,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(possibly(possibly(possibly(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f31095,f1152]) ).
fof(f31148,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(possibly(possibly(equiv(X0,X0))),possibly(possibly(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f31095,f3013]) ).
fof(f31149,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,possibly(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f31095,f1148]) ).
fof(f31150,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,possibly(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f31095,f1164]) ).
fof(f31151,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(possibly(possibly(equiv(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f31095,f1142]) ).
fof(f31153,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(possibly(possibly(equiv(X1,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f31095,f700]) ).
fof(f31154,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(possibly(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f4857,f1131]) ).
fof(f31155,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ116_spl
| ~ sQ110_spl
| is_a_theorem(and(implies(X0,X0),necessarily(possibly(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4857,f3028]) ).
fof(f31156,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ116_spl
| ~ sQ110_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(possibly(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4857,f3290]) ).
fof(f31157,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(possibly(possibly(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4857,f1868]) ).
fof(f31158,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4857,f1881]) ).
fof(f31159,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4857,f1882]) ).
fof(f31160,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4857,f1884]) ).
fof(f31161,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4857,f1883]) ).
fof(f31162,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(possibly(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4857,f1885]) ).
fof(f31163,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(possibly(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4857,f3015]) ).
fof(f31164,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(possibly(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4857,f1871]) ).
fof(f31165,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(possibly(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4857,f1870]) ).
fof(f31166,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4857,f1869]) ).
fof(f31167,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4857,f1872]) ).
fof(f31168,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4857,f1873]) ).
fof(f31169,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4857,f1875]) ).
fof(f31170,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(possibly(possibly(implies(X3,X3)))))) ),
inference(resolution,[status(thm)],[f4857,f1877]) ).
fof(f31171,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(possibly(possibly(implies(X3,X3)))))) ),
inference(resolution,[status(thm)],[f4857,f1876]) ).
fof(f31172,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4857,f1874]) ).
fof(f31173,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4857,f1878]) ).
fof(f31174,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4857,f1879]) ).
fof(f31175,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f4857,f1880]) ).
fof(f31176,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(necessarily(possibly(possibly(implies(X1,X1)))),X0))) ),
inference(resolution,[status(thm)],[f4857,f1208]) ).
fof(f31177,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(necessarily(possibly(possibly(implies(X0,X0))))))) ),
inference(resolution,[status(thm)],[f4857,f1152]) ).
fof(f31178,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(possibly(possibly(implies(X0,X0)))),necessarily(possibly(possibly(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4857,f3013]) ).
fof(f31179,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,necessarily(possibly(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4857,f1148]) ).
fof(f31180,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(possibly(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f4857,f1164]) ).
fof(f31181,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(possibly(possibly(implies(X0,X0)))),X1)) ),
inference(resolution,[status(thm)],[f4857,f1142]) ).
fof(f31182,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(necessarily(possibly(possibly(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f4857,f666]) ).
fof(f31183,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(necessarily(possibly(possibly(implies(X1,X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4857,f700]) ).
fof(f31184,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(possibly(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1317,f4857]) ).
fof(f31185,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(possibly(or(necessarily(possibly(X0)),possibly(necessarily(not(X0)))))))) ),
inference(paramodulation,[status(thm)],[f1290,f4857]) ).
fof(f31186,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(possibly(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1304,f4857]) ).
fof(f31187,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(possibly(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1298,f4857]) ).
fof(f31189,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(possibly(not(and(and(not(X0),not(X1)),or(X0,X1))))))) ),
inference(paramodulation,[status(thm)],[f1296,f4857]) ).
fof(f31190,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),and(not(and(not(X1),or(X1,X1))),not(and(not(X1),or(X1,X1)))))) ),
inference(resolution,[status(thm)],[f20882,f21009]) ).
fof(f31191,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),and(implies(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f20882,f7836]) ).
fof(f31192,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),and(implies(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f20882,f7801]) ).
fof(f31193,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),and(equiv(X1,X1),implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f20882,f7597]) ).
fof(f31194,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),and(equiv(X1,X1),equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f20882,f7566]) ).
fof(f31195,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f20882,f723]) ).
fof(f31196,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),possibly(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f20882,f31095]) ).
fof(f31197,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f20882,f2962]) ).
fof(f31198,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),possibly(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f20882,f11303]) ).
fof(f31199,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),possibly(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f20882,f11128]) ).
fof(f31200,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),possibly(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f20882,f10589]) ).
fof(f31201,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),possibly(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f20882,f4864]) ).
fof(f31202,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),possibly(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f20882,f11304]) ).
fof(f31203,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),possibly(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f20882,f4848]) ).
fof(f31204,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),possibly(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f20882,f4751]) ).
fof(f31205,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(strict_equiv(sK60_skl,sK61_skl),X1))) ),
inference(resolution,[status(thm)],[f20882,f1194]) ).
fof(f31206,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(possibly(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f20882,f4860]) ).
fof(f31207,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(possibly(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f20882,f4822]) ).
fof(f31208,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(or(implies(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f20882,f3311]) ).
fof(f31209,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(or(equiv(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f20882,f4557]) ).
fof(f31210,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(or(X1,implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f20882,f3424]) ).
fof(f31211,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(or(X1,equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f20882,f4563]) ).
fof(f31212,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(or(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f20882,f3186]) ).
fof(f31213,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(necessarily(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f20882,f3177]) ).
fof(f31214,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(necessarily(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f20882,f3302]) ).
fof(f31215,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f20882,f3293]) ).
fof(f31216,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(implies(and(X1,X2),X2),X3))) ),
inference(resolution,[status(thm)],[f20882,f1176]) ).
fof(f31217,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(implies(and(X1,X2),X1),X3))) ),
inference(resolution,[status(thm)],[f20882,f1175]) ).
fof(f31218,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(implies(necessarily(X1),X1),X2))) ),
inference(resolution,[status(thm)],[f20882,f1179]) ).
fof(f31219,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f20882,f1183]) ).
fof(f31220,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f20882,f1182]) ).
fof(f31221,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f20882,f1181]) ).
fof(f31222,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f20882,f3030]) ).
fof(f31223,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f20882,f1367]) ).
fof(f31224,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f20882,f3178]) ).
fof(f31225,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f20882,f3303]) ).
fof(f31226,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,necessarily(possibly(not(X1)))))) ),
inference(resolution,[status(thm)],[f20882,f1154]) ).
fof(f31227,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f20882,f4859]) ).
fof(f31228,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f20882,f4821]) ).
fof(f31229,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f20882,f1144]) ).
fof(f31230,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f20882,f1166]) ).
fof(f31231,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f20882,f3187]) ).
fof(f31232,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f20882,f3294]) ).
fof(f31233,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f20882,f1345]) ).
fof(f31234,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f20882,f1344]) ).
fof(f31235,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f20882,f1348]) ).
fof(f31236,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f20882,f1356]) ).
fof(f31237,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f20882,f1355]) ).
fof(f31238,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f20882,f1354]) ).
fof(f31239,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,implies(X2,and(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f20882,f1211]) ).
fof(f31240,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f20882,f1150]) ).
fof(f31241,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f20882,f3031]) ).
fof(f31242,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f20882,f3034]) ).
fof(f31243,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f20882,f1127]) ).
fof(f31244,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(or(equiv(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f20882,f4559]) ).
fof(f31245,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(or(implies(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f20882,f3314]) ).
fof(f31246,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(or(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f20882,f4565]) ).
fof(f31247,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(or(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f20882,f3427]) ).
fof(f31248,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f20882,f3181]) ).
fof(f31249,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(possibly(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f20882,f4857]) ).
fof(f31250,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(possibly(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f20882,f4819]) ).
fof(f31251,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(possibly(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f20882,f3185]) ).
fof(f31252,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(possibly(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f20882,f3176]) ).
fof(f31253,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(possibly(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f20882,f3301]) ).
fof(f31254,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(possibly(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f20882,f1967]) ).
fof(f31255,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f20882,f3029]) ).
fof(f31256,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(possibly(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f20882,f3292]) ).
fof(f31257,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(necessarily(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f20882,f4750]) ).
fof(f31258,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(necessarily(necessarily(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f20882,f4748]) ).
fof(f31259,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(necessarily(necessarily(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f20882,f4740]) ).
fof(f31260,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(necessarily(possibly(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f20882,f4854]) ).
fof(f31261,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(necessarily(possibly(equiv(X1,X1)))))) ),
inference(resolution,[status(thm)],[f20882,f4757]) ).
fof(f31262,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(necessarily(implies(necessarily(X1),X1))))) ),
inference(resolution,[status(thm)],[f20882,f2009]) ).
fof(f31263,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(necessarily(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f20882,f3180]) ).
fof(f31264,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(necessarily(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f20882,f3305]) ).
fof(f31265,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(or(X1,not(X2)),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f20882,f1230]) ).
fof(f31266,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(equiv(X1,X2),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f20882,f1201]) ).
fof(f31267,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(equiv(X1,X2),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f20882,f1168]) ).
fof(f31268,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(implies(X1,implies(X1,X2)),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f20882,f1216]) ).
fof(f31269,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2)))))) ),
inference(resolution,[status(thm)],[f20882,f1205]) ).
fof(f31270,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))))) ),
inference(resolution,[status(thm)],[f20882,f1283]) ).
fof(f31271,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))))) ),
inference(resolution,[status(thm)],[f20882,f1161]) ).
fof(f31272,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f20882,f1171]) ).
fof(f31273,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(and(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f20882,f1146]) ).
fof(f31274,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f20882,f1158]) ).
fof(f31275,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(necessarily(X1),necessarily(necessarily(X1)))))) ),
inference(resolution,[status(thm)],[f20882,f1156]) ).
fof(f31276,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(necessarily(X1),X1)))) ),
inference(resolution,[status(thm)],[f20882,f1132]) ).
fof(f31277,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(X1,necessarily(possibly(X1)))))) ),
inference(resolution,[status(thm)],[f20882,f1153]) ).
fof(f31278,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f20882,f4574]) ).
fof(f31279,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(X1,implies(X2,and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f20882,f1210]) ).
fof(f31280,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f20882,f3443]) ).
fof(f31281,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f20882,f1149]) ).
fof(f31282,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f20882,f1165]) ).
fof(f31283,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f20882,f1143]) ).
fof(f31284,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(X1,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f20882,f3020]) ).
fof(f31285,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f20882,f3033]) ).
fof(f31286,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f20882,f3296]) ).
fof(f31287,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f20882,f3285]) ).
fof(f31288,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(or(X1,possibly(X2)),implies(necessarily(not(X2)),X1)))) ),
inference(resolution,[status(thm)],[f20882,f1232]) ).
fof(f31289,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)))) ),
inference(resolution,[status(thm)],[f20882,f1231]) ).
fof(f31290,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(or(X1,or(X1,X2)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f20882,f1221]) ).
fof(f31291,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(or(X1,not(not(X2))),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f20882,f1233]) ).
fof(f31292,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f20882,f1044]) ).
fof(f31293,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f20882,f1162]) ).
fof(f31294,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))))) ),
inference(resolution,[status(thm)],[f20882,f1287]) ).
fof(f31295,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))))) ),
inference(resolution,[status(thm)],[f20882,f1206]) ).
fof(f31296,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f20882,f1202]) ).
fof(f31297,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f20882,f1169]) ).
fof(f31298,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f20882,f486]) ).
fof(f31299,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f20882,f497]) ).
fof(f31300,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f20882,f1285]) ).
fof(f31301,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f20882,f1163]) ).
fof(f31302,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(implies(X1,implies(X1,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f20882,f398]) ).
fof(f31303,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))))) ),
inference(resolution,[status(thm)],[f20882,f1207]) ).
fof(f31304,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))))) ),
inference(resolution,[status(thm)],[f20882,f475]) ).
fof(f31305,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f20882,f409]) ).
fof(f31306,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))) ),
inference(resolution,[status(thm)],[f20882,f508]) ).
fof(f31307,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(and(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f20882,f12152]) ).
fof(f31308,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f20882,f420]) ).
fof(f31309,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f20882,f431]) ).
fof(f31310,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(necessarily(or(X1,X2)),implies(necessarily(not(X1)),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f20882,f1159]) ).
fof(f31311,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(necessarily(implies(X1,X2)),implies(necessarily(X1),necessarily(X2))))) ),
inference(resolution,[status(thm)],[f20882,f734]) ).
fof(f31312,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(necessarily(X1),necessarily(necessarily(X1))))) ),
inference(resolution,[status(thm)],[f20882,f756]) ).
fof(f31313,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(necessarily(X1),X1))) ),
inference(resolution,[status(thm)],[f20882,f745]) ).
fof(f31314,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f20882,f1264]) ).
fof(f31315,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f20882,f4858]) ).
fof(f31316,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f20882,f4820]) ).
fof(f31317,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f20882,f3295]) ).
fof(f31318,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f20882,f3179]) ).
fof(f31319,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f20882,f3304]) ).
fof(f31320,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,necessarily(possibly(X1))))) ),
inference(resolution,[status(thm)],[f20882,f767]) ).
fof(f31321,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f20882,f1245]) ).
fof(f31322,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f20882,f1244]) ).
fof(f31323,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f20882,f1248]) ).
fof(f31324,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f20882,f1253]) ).
fof(f31325,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f20882,f1252]) ).
fof(f31326,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f20882,f1251]) ).
fof(f31327,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,implies(X2,and(X1,X2))))) ),
inference(resolution,[status(thm)],[f20882,f442]) ).
fof(f31328,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f20882,f3032]) ).
fof(f31329,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f20882,f387]) ).
fof(f31330,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,or(X2,and(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f20882,f1212]) ).
fof(f31331,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f20882,f3188]) ).
fof(f31332,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f20882,f464]) ).
fof(f31333,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f20882,f453]) ).
fof(f31334,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f20882,f519]) ).
fof(f31335,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,X1))) ),
inference(resolution,[status(thm)],[f20882,f3447]) ).
fof(f31338,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),and(or(X1,implies(X2,not(X1))),or(X1,implies(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3240,f20882]) ).
fof(f31339,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,X0),and(or(X1,implies(X2,not(X1))),or(X1,implies(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3240,f3028]) ).
fof(f31340,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(equiv(X0,X0),and(or(X1,implies(X2,not(X1))),or(X1,implies(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3240,f3290]) ).
fof(f31341,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),and(or(X0,implies(X1,not(X0))),or(X0,implies(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f3240,f1868]) ).
fof(f31342,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(or(X2,implies(X3,not(X2))),or(X2,implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3240,f1881]) ).
fof(f31343,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(or(X2,implies(X3,not(X2))),or(X2,implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3240,f1882]) ).
fof(f31344,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(or(X2,implies(X3,not(X2))),or(X2,implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3240,f1884]) ).
fof(f31345,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(or(X2,implies(X3,not(X2))),or(X2,implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3240,f1883]) ).
fof(f31346,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(or(X1,implies(X2,not(X1))),or(X1,implies(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3240,f1885]) ).
fof(f31347,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(or(X1,implies(X2,not(X1))),or(X1,implies(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3240,f3015]) ).
fof(f31348,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(or(X1,implies(X2,not(X1))),or(X1,implies(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3240,f1871]) ).
fof(f31349,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(or(X1,implies(X2,not(X1))),or(X1,implies(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3240,f1870]) ).
fof(f31350,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(or(X2,implies(X3,not(X2))),or(X2,implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3240,f1869]) ).
fof(f31351,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(or(X2,implies(X3,not(X2))),or(X2,implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3240,f1872]) ).
fof(f31352,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(or(X2,implies(X3,not(X2))),or(X2,implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3240,f1873]) ).
fof(f31353,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(or(X2,implies(X3,not(X2))),or(X2,implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3240,f1875]) ).
fof(f31354,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(or(X3,implies(X4,not(X3))),or(X3,implies(X4,not(X3)))))) ),
inference(resolution,[status(thm)],[f3240,f1877]) ).
fof(f31355,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(or(X3,implies(X4,not(X3))),or(X3,implies(X4,not(X3)))))) ),
inference(resolution,[status(thm)],[f3240,f1876]) ).
fof(f31356,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(or(X2,implies(X3,not(X2))),or(X2,implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3240,f1874]) ).
fof(f31357,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(or(X2,implies(X3,not(X2))),or(X2,implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3240,f1878]) ).
fof(f31358,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(or(X2,implies(X3,not(X2))),or(X2,implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3240,f1879]) ).
fof(f31359,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(or(X2,implies(X3,not(X2))),or(X2,implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3240,f1880]) ).
fof(f31360,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(and(or(X1,implies(X2,not(X1))),or(X1,implies(X2,not(X1)))),X0))) ),
inference(resolution,[status(thm)],[f3240,f1208]) ).
fof(f31361,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(and(or(X0,implies(X1,not(X0))),or(X0,implies(X1,not(X0))))))) ),
inference(resolution,[status(thm)],[f3240,f1152]) ).
fof(f31362,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(and(or(X0,implies(X1,not(X0))),or(X0,implies(X1,not(X0)))),and(or(X0,implies(X1,not(X0))),or(X0,implies(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f3240,f3013]) ).
fof(f31363,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,not(X1))),or(X1,implies(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3240,f1148]) ).
fof(f31364,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(or(X1,implies(X2,not(X1))),or(X1,implies(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3240,f1164]) ).
fof(f31365,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,implies(X1,not(X0))),or(X0,implies(X1,not(X0)))),X2)) ),
inference(resolution,[status(thm)],[f3240,f1142]) ).
fof(f31366,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(and(or(X0,implies(X1,not(X0))),or(X0,implies(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f3240,f666]) ).
fof(f31367,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(and(or(X1,implies(X2,not(X1))),or(X1,implies(X2,not(X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3240,f700]) ).
fof(f31378,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(necessarily(implies(X1,X2)),not(X0))),or(X0,implies(possibly(and(X1,not(X2))),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1317,f3240]) ).
fof(f31379,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(necessarily(possibly(X1)),not(X0))),or(X0,implies(possibly(necessarily(not(X1))),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1290,f3240]) ).
fof(f31380,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(and(X1,possibly(X2)),not(X0))),or(X0,implies(implies(X1,necessarily(not(X2))),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1304,f3240]) ).
fof(f31381,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(and(X1,implies(X2,X3)),not(X0))),or(X0,implies(implies(X1,and(X2,not(X3))),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1298,f3240]) ).
fof(f31382,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(X1,not(X0))),or(X0,implies(not(X1),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1047,f3240]) ).
fof(f31383,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,possibly(X1)),implies(X2,implies(X0,necessarily(not(X1))))),or(and(X0,possibly(X1)),implies(X2,not(and(X0,possibly(X1))))))) ),
inference(paramodulation,[status(thm)],[f1116,f3240]) ).
fof(f31384,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,implies(X1,X2)),implies(X3,implies(X0,and(X1,not(X2))))),or(and(X0,implies(X1,X2)),implies(X3,not(and(X0,implies(X1,X2))))))) ),
inference(paramodulation,[status(thm)],[f1115,f3240]) ).
fof(f31386,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(implies(X0,X1)),implies(X2,possibly(and(X0,not(X1))))),or(necessarily(implies(X0,X1)),implies(X2,not(necessarily(implies(X0,X1))))))) ),
inference(paramodulation,[status(thm)],[f1117,f3240]) ).
fof(f31387,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(possibly(X0)),implies(X1,possibly(necessarily(not(X0))))),or(necessarily(possibly(X0)),implies(X1,not(necessarily(possibly(X0))))))) ),
inference(paramodulation,[status(thm)],[f1114,f3240]) ).
fof(f31399,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(possibly(and(X1,not(X2))),not(X0))),or(X0,or(necessarily(implies(X1,X2)),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1317,f3240]) ).
fof(f31400,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(possibly(necessarily(not(X1))),not(X0))),or(X0,or(necessarily(possibly(X1)),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1290,f3240]) ).
fof(f31401,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(implies(X1,necessarily(not(X2))),not(X0))),or(X0,or(and(X1,possibly(X2)),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1304,f3240]) ).
fof(f31402,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(implies(X1,and(X2,not(X3))),not(X0))),or(X0,or(and(X1,implies(X2,X3)),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1298,f3240]) ).
fof(f31403,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(not(X1),not(X0))),or(X0,or(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1047,f3240]) ).
fof(f31456,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(necessarily(implies(X1,X2)),not(X0))),or(X0,or(necessarily(implies(X1,X2)),not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1317,f31378]) ).
fof(f31457,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(necessarily(possibly(X1)),not(X0))),or(X0,or(necessarily(possibly(X1)),not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1290,f31379]) ).
fof(f31458,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(and(X1,possibly(X2)),not(X0))),or(X0,or(and(X1,possibly(X2)),not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1304,f31380]) ).
fof(f31459,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(and(X1,implies(X2,X3)),not(X0))),or(X0,or(and(X1,implies(X2,X3)),not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f31381]) ).
fof(f31460,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(X1,not(X0))),or(X0,or(X1,not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f31382]) ).
fof(f31461,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,possibly(X1)),implies(X2,implies(X0,necessarily(not(X1))))),or(and(X0,possibly(X1)),implies(X2,implies(X0,necessarily(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f31383]) ).
fof(f31462,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,implies(X1,X2)),implies(X3,implies(X0,and(X1,not(X2))))),or(and(X0,implies(X1,X2)),implies(X3,implies(X0,and(X1,not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f31384]) ).
fof(f31466,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(implies(X0,X1)),implies(X2,possibly(and(X0,not(X1))))),or(necessarily(implies(X0,X1)),implies(X2,possibly(and(X0,not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f31386]) ).
fof(f31467,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(possibly(X0)),implies(X1,possibly(necessarily(not(X0))))),or(necessarily(possibly(X0)),implies(X1,possibly(necessarily(not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f31387]) ).
fof(f31517,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(necessarily(implies(X1,X2)),not(X0))),or(X0,or(necessarily(implies(X1,X2)),not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1317,f31399]) ).
fof(f31518,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(necessarily(possibly(X1)),not(X0))),or(X0,or(necessarily(possibly(X1)),not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1290,f31400]) ).
fof(f31519,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(and(X1,possibly(X2)),not(X0))),or(X0,or(and(X1,possibly(X2)),not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1304,f31401]) ).
fof(f31520,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(and(X1,implies(X2,X3)),not(X0))),or(X0,or(and(X1,implies(X2,X3)),not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f31402]) ).
fof(f31521,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(X1,not(X0))),or(X0,or(X1,not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f31403]) ).
fof(f31532,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),and(or(X2,implies(X3,not(X2))),or(X2,implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f1924,f3240]) ).
fof(f31533,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1924,f21009]) ).
fof(f31534,plain,
! [X0,X1,X2,X3] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1924,f7836]) ).
fof(f31535,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1924,f7801]) ).
fof(f31536,plain,
! [X0,X1,X2,X3] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1924,f7597]) ).
fof(f31537,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1924,f7566]) ).
fof(f31538,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1924,f723]) ).
fof(f31539,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1924,f31095]) ).
fof(f31540,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1924,f2962]) ).
fof(f31541,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f1924,f11303]) ).
fof(f31542,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1924,f11128]) ).
fof(f31543,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1924,f10589]) ).
fof(f31544,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1924,f4864]) ).
fof(f31545,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1924,f11304]) ).
fof(f31546,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1924,f4848]) ).
fof(f31547,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1924,f4751]) ).
fof(f31548,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(strict_equiv(sK60_skl,sK61_skl),X2))) ),
inference(resolution,[status(thm)],[f1924,f1194]) ).
fof(f31549,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1924,f4860]) ).
fof(f31550,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1924,f4822]) ).
fof(f31551,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f1924,f3311]) ).
fof(f31552,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f1924,f4557]) ).
fof(f31553,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f1924,f3424]) ).
fof(f31554,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f1924,f4563]) ).
fof(f31555,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f1924,f3186]) ).
fof(f31556,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1924,f3177]) ).
fof(f31557,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1924,f3302]) ).
fof(f31558,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1924,f3293]) ).
fof(f31559,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1924,f1176]) ).
fof(f31560,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1924,f1175]) ).
fof(f31561,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1924,f1179]) ).
fof(f31562,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1924,f1183]) ).
fof(f31563,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1924,f1182]) ).
fof(f31564,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1924,f1181]) ).
fof(f31565,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1924,f3030]) ).
fof(f31566,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1924,f1367]) ).
fof(f31567,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1924,f3178]) ).
fof(f31568,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1924,f3303]) ).
fof(f31569,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1924,f1154]) ).
fof(f31570,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1924,f4859]) ).
fof(f31571,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1924,f4821]) ).
fof(f31572,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1924,f1144]) ).
fof(f31573,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1924,f1166]) ).
fof(f31574,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f1924,f3187]) ).
fof(f31575,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1924,f3294]) ).
fof(f31576,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1924,f1345]) ).
fof(f31577,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1924,f1344]) ).
fof(f31578,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1924,f1348]) ).
fof(f31579,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1924,f1356]) ).
fof(f31580,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1924,f1355]) ).
fof(f31581,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1924,f1354]) ).
fof(f31582,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1924,f1211]) ).
fof(f31583,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1924,f1150]) ).
fof(f31584,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1924,f3031]) ).
fof(f31585,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1924,f3034]) ).
fof(f31586,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1924,f1127]) ).
fof(f31587,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1924,f4559]) ).
fof(f31588,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1924,f3314]) ).
fof(f31589,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1924,f4565]) ).
fof(f31590,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1924,f3427]) ).
fof(f31591,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1924,f3181]) ).
fof(f31592,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1924,f4857]) ).
fof(f31593,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1924,f4819]) ).
fof(f31594,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f1924,f3185]) ).
fof(f31595,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1924,f3176]) ).
fof(f31596,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1924,f3301]) ).
fof(f31597,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1924,f1967]) ).
fof(f31598,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1924,f3029]) ).
fof(f31599,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1924,f3292]) ).
fof(f31600,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f1924,f4750]) ).
fof(f31601,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1924,f4748]) ).
fof(f31602,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1924,f4740]) ).
fof(f31603,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1924,f4854]) ).
fof(f31604,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1924,f4757]) ).
fof(f31605,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1924,f2009]) ).
fof(f31606,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1924,f3180]) ).
fof(f31607,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1924,f3305]) ).
fof(f31608,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1924,f1230]) ).
fof(f31609,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1924,f1201]) ).
fof(f31610,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1924,f1168]) ).
fof(f31611,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1924,f1216]) ).
fof(f31612,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1924,f1205]) ).
fof(f31613,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1924,f1283]) ).
fof(f31614,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1924,f1161]) ).
fof(f31615,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1924,f1171]) ).
fof(f31616,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1924,f1146]) ).
fof(f31617,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1924,f1158]) ).
fof(f31618,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1924,f1156]) ).
fof(f31619,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1924,f1132]) ).
fof(f31620,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1924,f1153]) ).
fof(f31621,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1924,f4574]) ).
fof(f31622,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1924,f1210]) ).
fof(f31623,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1924,f3443]) ).
fof(f31624,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1924,f1149]) ).
fof(f31625,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1924,f1165]) ).
fof(f31626,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1924,f1143]) ).
fof(f31627,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1924,f3020]) ).
fof(f31628,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1924,f3033]) ).
fof(f31629,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1924,f3296]) ).
fof(f31630,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1924,f3285]) ).
fof(f31631,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1924,f1232]) ).
fof(f31632,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1924,f1231]) ).
fof(f31633,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1924,f1221]) ).
fof(f31634,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1924,f1233]) ).
fof(f31635,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1924,f1044]) ).
fof(f31636,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1924,f1162]) ).
fof(f31637,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1924,f1287]) ).
fof(f31638,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1924,f1206]) ).
fof(f31639,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1924,f1202]) ).
fof(f31640,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1924,f1169]) ).
fof(f31641,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1924,f486]) ).
fof(f31642,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1924,f497]) ).
fof(f31643,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1924,f1285]) ).
fof(f31644,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1924,f1163]) ).
fof(f31645,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1924,f398]) ).
fof(f31646,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1924,f1207]) ).
fof(f31647,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1924,f475]) ).
fof(f31648,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1924,f409]) ).
fof(f31649,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1924,f508]) ).
fof(f31650,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f1924,f12152]) ).
fof(f31651,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1924,f420]) ).
fof(f31652,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1924,f431]) ).
fof(f31653,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1924,f1159]) ).
fof(f31654,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1924,f734]) ).
fof(f31655,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1924,f756]) ).
fof(f31656,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1924,f745]) ).
fof(f31657,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1924,f1264]) ).
fof(f31658,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1924,f4858]) ).
fof(f31659,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1924,f4820]) ).
fof(f31660,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1924,f3295]) ).
fof(f31661,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1924,f3179]) ).
fof(f31662,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1924,f3304]) ).
fof(f31663,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1924,f767]) ).
fof(f31664,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1924,f1245]) ).
fof(f31665,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1924,f1244]) ).
fof(f31666,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1924,f1248]) ).
fof(f31667,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1924,f1253]) ).
fof(f31668,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1924,f1252]) ).
fof(f31669,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1924,f1251]) ).
fof(f31670,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1924,f442]) ).
fof(f31671,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1924,f3032]) ).
fof(f31672,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1924,f387]) ).
fof(f31673,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1924,f1212]) ).
fof(f31674,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f1924,f3188]) ).
fof(f31675,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1924,f464]) ).
fof(f31676,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1924,f453]) ).
fof(f31677,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1924,f519]) ).
fof(f31678,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1924,f3447]) ).
fof(f31681,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),and(or(X2,implies(X3,and(not(X2),X3))),or(X2,implies(X3,and(not(X2),X3)))))) ),
inference(resolution,[status(thm)],[f3241,f1924]) ).
fof(f31682,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ28_spl
| ~ sQ1_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),and(or(X1,implies(X2,and(not(X1),X2))),or(X1,implies(X2,and(not(X1),X2)))))) ),
inference(resolution,[status(thm)],[f3241,f20882]) ).
fof(f31683,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,X0),and(or(X1,implies(X2,and(not(X1),X2))),or(X1,implies(X2,and(not(X1),X2)))))) ),
inference(resolution,[status(thm)],[f3241,f3028]) ).
fof(f31684,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(equiv(X0,X0),and(or(X1,implies(X2,and(not(X1),X2))),or(X1,implies(X2,and(not(X1),X2)))))) ),
inference(resolution,[status(thm)],[f3241,f3290]) ).
fof(f31685,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),and(or(X0,implies(X1,and(not(X0),X1))),or(X0,implies(X1,and(not(X0),X1)))))) ),
inference(resolution,[status(thm)],[f3241,f1868]) ).
fof(f31686,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(or(X2,implies(X3,and(not(X2),X3))),or(X2,implies(X3,and(not(X2),X3)))))) ),
inference(resolution,[status(thm)],[f3241,f1881]) ).
fof(f31687,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(or(X2,implies(X3,and(not(X2),X3))),or(X2,implies(X3,and(not(X2),X3)))))) ),
inference(resolution,[status(thm)],[f3241,f1882]) ).
fof(f31688,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(or(X2,implies(X3,and(not(X2),X3))),or(X2,implies(X3,and(not(X2),X3)))))) ),
inference(resolution,[status(thm)],[f3241,f1884]) ).
fof(f31689,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(or(X2,implies(X3,and(not(X2),X3))),or(X2,implies(X3,and(not(X2),X3)))))) ),
inference(resolution,[status(thm)],[f3241,f1883]) ).
fof(f31690,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(or(X1,implies(X2,and(not(X1),X2))),or(X1,implies(X2,and(not(X1),X2)))))) ),
inference(resolution,[status(thm)],[f3241,f1885]) ).
fof(f31691,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(or(X1,implies(X2,and(not(X1),X2))),or(X1,implies(X2,and(not(X1),X2)))))) ),
inference(resolution,[status(thm)],[f3241,f3015]) ).
fof(f31692,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(or(X1,implies(X2,and(not(X1),X2))),or(X1,implies(X2,and(not(X1),X2)))))) ),
inference(resolution,[status(thm)],[f3241,f1871]) ).
fof(f31693,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(or(X1,implies(X2,and(not(X1),X2))),or(X1,implies(X2,and(not(X1),X2)))))) ),
inference(resolution,[status(thm)],[f3241,f1870]) ).
fof(f31694,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(or(X2,implies(X3,and(not(X2),X3))),or(X2,implies(X3,and(not(X2),X3)))))) ),
inference(resolution,[status(thm)],[f3241,f1869]) ).
fof(f31695,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(or(X2,implies(X3,and(not(X2),X3))),or(X2,implies(X3,and(not(X2),X3)))))) ),
inference(resolution,[status(thm)],[f3241,f1872]) ).
fof(f31696,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(or(X2,implies(X3,and(not(X2),X3))),or(X2,implies(X3,and(not(X2),X3)))))) ),
inference(resolution,[status(thm)],[f3241,f1873]) ).
fof(f31697,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(or(X2,implies(X3,and(not(X2),X3))),or(X2,implies(X3,and(not(X2),X3)))))) ),
inference(resolution,[status(thm)],[f3241,f1875]) ).
fof(f31698,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(or(X3,implies(X4,and(not(X3),X4))),or(X3,implies(X4,and(not(X3),X4)))))) ),
inference(resolution,[status(thm)],[f3241,f1877]) ).
fof(f31699,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(or(X3,implies(X4,and(not(X3),X4))),or(X3,implies(X4,and(not(X3),X4)))))) ),
inference(resolution,[status(thm)],[f3241,f1876]) ).
fof(f31700,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(or(X2,implies(X3,and(not(X2),X3))),or(X2,implies(X3,and(not(X2),X3)))))) ),
inference(resolution,[status(thm)],[f3241,f1874]) ).
fof(f31701,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(or(X2,implies(X3,and(not(X2),X3))),or(X2,implies(X3,and(not(X2),X3)))))) ),
inference(resolution,[status(thm)],[f3241,f1878]) ).
fof(f31702,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(or(X2,implies(X3,and(not(X2),X3))),or(X2,implies(X3,and(not(X2),X3)))))) ),
inference(resolution,[status(thm)],[f3241,f1879]) ).
fof(f31703,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(or(X2,implies(X3,and(not(X2),X3))),or(X2,implies(X3,and(not(X2),X3)))))) ),
inference(resolution,[status(thm)],[f3241,f1880]) ).
fof(f31704,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(and(or(X1,implies(X2,and(not(X1),X2))),or(X1,implies(X2,and(not(X1),X2)))),X0))) ),
inference(resolution,[status(thm)],[f3241,f1208]) ).
fof(f31705,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(and(or(X0,implies(X1,and(not(X0),X1))),or(X0,implies(X1,and(not(X0),X1))))))) ),
inference(resolution,[status(thm)],[f3241,f1152]) ).
fof(f31706,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(and(or(X0,implies(X1,and(not(X0),X1))),or(X0,implies(X1,and(not(X0),X1)))),and(or(X0,implies(X1,and(not(X0),X1))),or(X0,implies(X1,and(not(X0),X1)))))) ),
inference(resolution,[status(thm)],[f3241,f3013]) ).
fof(f31707,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,and(not(X1),X2))),or(X1,implies(X2,and(not(X1),X2)))))) ),
inference(resolution,[status(thm)],[f3241,f1148]) ).
fof(f31708,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(or(X1,implies(X2,and(not(X1),X2))),or(X1,implies(X2,and(not(X1),X2)))))) ),
inference(resolution,[status(thm)],[f3241,f1164]) ).
fof(f31709,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,implies(X1,and(not(X0),X1))),or(X0,implies(X1,and(not(X0),X1)))),X2)) ),
inference(resolution,[status(thm)],[f3241,f1142]) ).
fof(f31710,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(and(or(X0,implies(X1,and(not(X0),X1))),or(X0,implies(X1,and(not(X0),X1)))))) ),
inference(resolution,[status(thm)],[f3241,f666]) ).
fof(f31711,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(and(or(X1,implies(X2,and(not(X1),X2))),or(X1,implies(X2,and(not(X1),X2)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3241,f700]) ).
fof(f31722,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(necessarily(implies(X1,X2)),and(not(X0),possibly(and(X1,not(X2)))))),or(X0,implies(possibly(and(X1,not(X2))),and(not(X0),possibly(and(X1,not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1317,f3241]) ).
fof(f31723,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(necessarily(possibly(X1)),and(not(X0),possibly(necessarily(not(X1)))))),or(X0,implies(possibly(necessarily(not(X1))),and(not(X0),possibly(necessarily(not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1290,f3241]) ).
fof(f31724,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(and(X1,possibly(X2)),and(not(X0),implies(X1,necessarily(not(X2)))))),or(X0,implies(implies(X1,necessarily(not(X2))),and(not(X0),implies(X1,necessarily(not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f1304,f3241]) ).
fof(f31725,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(and(X1,implies(X2,X3)),and(not(X0),implies(X1,and(X2,not(X3)))))),or(X0,implies(implies(X1,and(X2,not(X3))),and(not(X0),implies(X1,and(X2,not(X3)))))))) ),
inference(paramodulation,[status(thm)],[f1298,f3241]) ).
fof(f31726,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(X1,and(not(X0),not(X1)))),or(X0,implies(not(X1),and(not(X0),not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1047,f3241]) ).
fof(f31728,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,possibly(X1)),implies(X2,and(implies(X0,necessarily(not(X1))),X2))),or(and(X0,possibly(X1)),implies(X2,and(not(and(X0,possibly(X1))),X2))))) ),
inference(paramodulation,[status(thm)],[f1116,f3241]) ).
fof(f31729,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,implies(X1,X2)),implies(X3,and(implies(X0,and(X1,not(X2))),X3))),or(and(X0,implies(X1,X2)),implies(X3,and(not(and(X0,implies(X1,X2))),X3))))) ),
inference(paramodulation,[status(thm)],[f1115,f3241]) ).
fof(f31731,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(implies(X0,X1)),implies(X2,and(possibly(and(X0,not(X1))),X2))),or(necessarily(implies(X0,X1)),implies(X2,and(not(necessarily(implies(X0,X1))),X2))))) ),
inference(paramodulation,[status(thm)],[f1117,f3241]) ).
fof(f31732,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(possibly(X0)),implies(X1,and(possibly(necessarily(not(X0))),X1))),or(necessarily(possibly(X0)),implies(X1,and(not(necessarily(possibly(X0))),X1))))) ),
inference(paramodulation,[status(thm)],[f1114,f3241]) ).
fof(f31802,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(necessarily(implies(X1,X2)),and(not(X0),possibly(and(X1,not(X2)))))),or(X0,or(necessarily(implies(X1,X2)),and(not(X0),possibly(and(X1,not(X2)))))))) ),
inference(forward_demodulation,[status(thm)],[f1317,f31722]) ).
fof(f31803,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(necessarily(possibly(X1)),and(not(X0),possibly(necessarily(not(X1)))))),or(X0,or(necessarily(possibly(X1)),and(not(X0),possibly(necessarily(not(X1)))))))) ),
inference(forward_demodulation,[status(thm)],[f1290,f31723]) ).
fof(f31804,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(and(X1,possibly(X2)),and(not(X0),implies(X1,necessarily(not(X2)))))),or(X0,or(and(X1,possibly(X2)),and(not(X0),implies(X1,necessarily(not(X2)))))))) ),
inference(forward_demodulation,[status(thm)],[f1304,f31724]) ).
fof(f31805,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(and(X1,implies(X2,X3)),and(not(X0),implies(X1,and(X2,not(X3)))))),or(X0,or(and(X1,implies(X2,X3)),and(not(X0),implies(X1,and(X2,not(X3)))))))) ),
inference(forward_demodulation,[status(thm)],[f1298,f31725]) ).
fof(f31806,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,not(and(not(X1),or(X0,X1)))),or(X0,implies(not(X1),and(not(X0),not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f20726,f31726]) ).
fof(f31807,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,not(and(not(X1),or(X0,X1)))),or(X0,or(X1,and(not(X0),not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1047,f31806]) ).
fof(f31808,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,not(and(not(X1),or(X0,X1)))),or(X0,not(and(not(X1),or(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f20726,f31807]) ).
fof(f31811,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,possibly(X1)),implies(X2,and(implies(X0,necessarily(not(X1))),X2))),or(and(X0,possibly(X1)),implies(X2,and(implies(X0,necessarily(not(X1))),X2))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f31728]) ).
fof(f31812,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,implies(X1,X2)),implies(X3,and(implies(X0,and(X1,not(X2))),X3))),or(and(X0,implies(X1,X2)),implies(X3,and(implies(X0,and(X1,not(X2))),X3))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f31729]) ).
fof(f31816,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(implies(X0,X1)),implies(X2,and(possibly(and(X0,not(X1))),X2))),or(necessarily(implies(X0,X1)),implies(X2,and(possibly(and(X0,not(X1))),X2))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f31731]) ).
fof(f31817,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(possibly(X0)),implies(X1,and(possibly(necessarily(not(X0))),X1))),or(necessarily(possibly(X0)),implies(X1,and(possibly(necessarily(not(X0))),X1))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f31732]) ).
fof(f31886,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f31154,f1924]) ).
fof(f31887,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),possibly(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f31154,f20882]) ).
fof(f31888,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(implies(X0,X0),possibly(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f31154,f3028]) ).
fof(f31889,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ116_spl
| is_a_theorem(and(equiv(X0,X0),possibly(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f31154,f3290]) ).
fof(f31890,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),possibly(possibly(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f31154,f1868]) ).
fof(f31891,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f31154,f1881]) ).
fof(f31892,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f31154,f1882]) ).
fof(f31893,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f31154,f1884]) ).
fof(f31894,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f31154,f1883]) ).
fof(f31895,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),possibly(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f31154,f1885]) ).
fof(f31896,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),possibly(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f31154,f3015]) ).
fof(f31897,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),X0),possibly(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f31154,f1871]) ).
fof(f31898,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),possibly(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f31154,f1870]) ).
fof(f31899,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f31154,f1869]) ).
fof(f31900,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X1),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f31154,f1872]) ).
fof(f31901,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(and(X0,X1),X0),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f31154,f1873]) ).
fof(f31902,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f31154,f1875]) ).
fof(f31903,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),possibly(possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f31154,f1877]) ).
fof(f31904,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),possibly(possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f31154,f1876]) ).
fof(f31905,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f31154,f1874]) ).
fof(f31906,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f31154,f1878]) ).
fof(f31907,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f31154,f1879]) ).
fof(f31908,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f31154,f1880]) ).
fof(f31909,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(possibly(possibly(implies(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f31154,f1208]) ).
fof(f31910,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(possibly(possibly(possibly(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f31154,f1152]) ).
fof(f31911,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(possibly(possibly(implies(X0,X0))),possibly(possibly(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f31154,f3013]) ).
fof(f31912,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,possibly(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f31154,f1148]) ).
fof(f31913,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,possibly(possibly(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f31154,f1164]) ).
fof(f31914,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(possibly(possibly(implies(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f31154,f1142]) ).
fof(f31916,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(possibly(possibly(implies(X1,X1))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f31154,f700]) ).
fof(f31917,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(possibly(or(necessarily(implies(X0,X1)),possibly(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1317,f31154]) ).
fof(f31918,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(possibly(or(necessarily(possibly(X0)),possibly(necessarily(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f1290,f31154]) ).
fof(f31919,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(possibly(or(and(X0,possibly(X1)),implies(X0,necessarily(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1304,f31154]) ).
fof(f31920,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(possibly(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1298,f31154]) ).
fof(f31921,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(possibly(or(X0,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1047,f31154]) ).
fof(f31922,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(possibly(possibly(not(and(and(not(X0),not(X1)),or(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f1296,f31154]) ).
fof(f31923,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),and(or(X2,implies(X3,and(not(X2),X3))),or(X2,implies(X3,and(not(X2),X3)))))) ),
inference(resolution,[status(thm)],[f1905,f3241]) ).
fof(f31924,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1905,f21009]) ).
fof(f31925,plain,
! [X0,X1,X2,X3] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1905,f7836]) ).
fof(f31926,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1905,f7801]) ).
fof(f31927,plain,
! [X0,X1,X2,X3] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1905,f7597]) ).
fof(f31928,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1905,f7566]) ).
fof(f31929,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1905,f723]) ).
fof(f31930,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1905,f31154]) ).
fof(f31931,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1905,f31095]) ).
fof(f31932,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ104_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),possibly(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1905,f2962]) ).
fof(f31933,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f1905,f11303]) ).
fof(f31934,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1905,f11128]) ).
fof(f31935,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1905,f10589]) ).
fof(f31936,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1905,f4864]) ).
fof(f31937,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1905,f11304]) ).
fof(f31938,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1905,f4848]) ).
fof(f31939,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1905,f4751]) ).
fof(f31940,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(strict_equiv(sK60_skl,sK61_skl),X2))) ),
inference(resolution,[status(thm)],[f1905,f1194]) ).
fof(f31941,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1905,f4860]) ).
fof(f31942,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1905,f4822]) ).
fof(f31943,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f1905,f3311]) ).
fof(f31944,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f1905,f4557]) ).
fof(f31945,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f1905,f3424]) ).
fof(f31946,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f1905,f4563]) ).
fof(f31947,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f1905,f3186]) ).
fof(f31948,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1905,f3177]) ).
fof(f31949,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1905,f3302]) ).
fof(f31950,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1905,f3293]) ).
fof(f31951,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1905,f1176]) ).
fof(f31952,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1905,f1175]) ).
fof(f31953,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1905,f1179]) ).
fof(f31954,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1905,f1183]) ).
fof(f31955,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1905,f1182]) ).
fof(f31956,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1905,f1181]) ).
fof(f31957,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1905,f3030]) ).
fof(f31958,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1905,f1367]) ).
fof(f31959,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1905,f3178]) ).
fof(f31960,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1905,f3303]) ).
fof(f31961,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1905,f1154]) ).
fof(f31962,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1905,f4859]) ).
fof(f31963,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1905,f4821]) ).
fof(f31964,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1905,f1144]) ).
fof(f31965,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1905,f1166]) ).
fof(f31966,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f1905,f3187]) ).
fof(f31967,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1905,f3294]) ).
fof(f31968,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1905,f1345]) ).
fof(f31969,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1905,f1344]) ).
fof(f31970,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1905,f1348]) ).
fof(f31971,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1905,f1356]) ).
fof(f31972,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1905,f1355]) ).
fof(f31973,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1905,f1354]) ).
fof(f31974,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1905,f1211]) ).
fof(f31975,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1905,f1150]) ).
fof(f31976,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1905,f3031]) ).
fof(f31977,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1905,f3034]) ).
fof(f31978,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1905,f1127]) ).
fof(f31979,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1905,f4559]) ).
fof(f31980,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1905,f3314]) ).
fof(f31981,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1905,f4565]) ).
fof(f31982,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1905,f3427]) ).
fof(f31983,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1905,f3181]) ).
fof(f31984,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1905,f4857]) ).
fof(f31985,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1905,f4819]) ).
fof(f31986,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f1905,f3185]) ).
fof(f31987,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1905,f3176]) ).
fof(f31988,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1905,f3301]) ).
fof(f31989,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1905,f1967]) ).
fof(f31990,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1905,f3029]) ).
fof(f31991,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1905,f3292]) ).
fof(f31992,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f1905,f4750]) ).
fof(f31993,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1905,f4748]) ).
fof(f31994,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1905,f4740]) ).
fof(f31995,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1905,f4854]) ).
fof(f31996,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1905,f4757]) ).
fof(f31997,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1905,f2009]) ).
fof(f31998,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1905,f3180]) ).
fof(f31999,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1905,f3305]) ).
fof(f32000,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1905,f1230]) ).
fof(f32001,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1905,f1201]) ).
fof(f32002,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1905,f1168]) ).
fof(f32003,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1905,f1216]) ).
fof(f32004,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1905,f1205]) ).
fof(f32005,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1905,f1283]) ).
fof(f32006,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1905,f1161]) ).
fof(f32007,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1905,f1171]) ).
fof(f32008,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1905,f1146]) ).
fof(f32009,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1905,f1158]) ).
fof(f32010,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1905,f1156]) ).
fof(f32011,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1905,f1132]) ).
fof(f32012,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1905,f1153]) ).
fof(f32013,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1905,f4574]) ).
fof(f32014,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1905,f1210]) ).
fof(f32015,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1905,f3443]) ).
fof(f32016,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1905,f1149]) ).
fof(f32017,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1905,f1165]) ).
fof(f32018,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1905,f1143]) ).
fof(f32019,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1905,f3020]) ).
fof(f32020,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1905,f3033]) ).
fof(f32021,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1905,f3296]) ).
fof(f32022,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1905,f3285]) ).
fof(f32023,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1905,f1232]) ).
fof(f32024,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1905,f1231]) ).
fof(f32025,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1905,f1221]) ).
fof(f32026,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1905,f1233]) ).
fof(f32027,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1905,f1044]) ).
fof(f32028,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1905,f1162]) ).
fof(f32029,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1905,f1287]) ).
fof(f32030,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1905,f1206]) ).
fof(f32031,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1905,f1202]) ).
fof(f32032,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1905,f1169]) ).
fof(f32033,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1905,f486]) ).
fof(f32034,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1905,f497]) ).
fof(f32035,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1905,f1285]) ).
fof(f32036,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1905,f1163]) ).
fof(f32037,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1905,f398]) ).
fof(f32038,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1905,f1207]) ).
fof(f32039,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1905,f475]) ).
fof(f32040,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1905,f409]) ).
fof(f32041,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1905,f508]) ).
fof(f32042,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f1905,f12152]) ).
fof(f32043,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1905,f420]) ).
fof(f32044,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1905,f431]) ).
fof(f32045,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1905,f1159]) ).
fof(f32046,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1905,f734]) ).
fof(f32047,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1905,f756]) ).
fof(f32048,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1905,f745]) ).
fof(f32049,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,strict_equiv(sK60_skl,sK61_skl)))) ),
inference(resolution,[status(thm)],[f1905,f1264]) ).
fof(f32050,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1905,f4858]) ).
fof(f32051,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1905,f4820]) ).
fof(f32052,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1905,f3295]) ).
fof(f32053,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1905,f3179]) ).
fof(f32054,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1905,f3304]) ).
fof(f32055,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1905,f767]) ).
fof(f32056,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1905,f1245]) ).
fof(f32057,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1905,f1244]) ).
fof(f32058,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1905,f1248]) ).
fof(f32059,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1905,f1253]) ).
fof(f32060,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1905,f1252]) ).
fof(f32061,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1905,f1251]) ).
fof(f32062,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1905,f442]) ).
fof(f32063,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1905,f3032]) ).
fof(f32064,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1905,f387]) ).
fof(f32065,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1905,f1212]) ).
fof(f32066,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f1905,f3188]) ).
fof(f32067,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1905,f464]) ).
fof(f32068,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1905,f453]) ).
fof(f32069,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1905,f519]) ).
fof(f32070,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1905,f3447]) ).
fof(f32071,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f3017,f2989]) ).
fof(f32072,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(X0,possibly(X1)),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f3017,f2986]) ).
fof(f32073,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),implies(X3,and(X3,X3)))) ),
inference(resolution,[status(thm)],[f3017,f2987]) ).
fof(f32074,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f3017,f2391]) ).
fof(f32075,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f3017,f1228]) ).
fof(f32076,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(implies(X2,and(X2,X2))),X0),X1))) ),
inference(resolution,[status(thm)],[f3017,f2544]) ).
fof(f32077,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),or(implies(X2,and(X2,X2)),X1))) ),
inference(resolution,[status(thm)],[f3017,f2485]) ).
fof(f32078,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,not(implies(X1,and(X1,X1)))),equiv(not(implies(X1,and(X1,X1))),X0))) ),
inference(resolution,[status(thm)],[f3017,f2432]) ).
fof(f32079,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(X0,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f3017,f1122]) ).
fof(f32080,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3017,f1905]) ).
fof(f32081,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3017,f1924]) ).
fof(f32082,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3017,f20882]) ).
fof(f32083,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,X0),or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3017,f3028]) ).
fof(f32084,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ31_spl
| is_a_theorem(and(equiv(X0,X0),or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3017,f3290]) ).
fof(f32085,plain,
! [X0,X1] :
( ~ sQ104_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(implies(X0,and(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f3017,f1868]) ).
fof(f32086,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3017,f1881]) ).
fof(f32087,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3017,f1882]) ).
fof(f32088,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3017,f1884]) ).
fof(f32089,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3017,f1883]) ).
fof(f32090,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3017,f1885]) ).
fof(f32091,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3017,f3015]) ).
fof(f32092,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3017,f1871]) ).
fof(f32093,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3017,f1870]) ).
fof(f32094,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3017,f1869]) ).
fof(f32095,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3017,f1872]) ).
fof(f32096,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3017,f1873]) ).
fof(f32097,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3017,f1875]) ).
fof(f32098,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(implies(X3,and(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3017,f1877]) ).
fof(f32099,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(implies(X3,and(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f3017,f1876]) ).
fof(f32100,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3017,f1874]) ).
fof(f32101,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3017,f1878]) ).
fof(f32102,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3017,f1879]) ).
fof(f32103,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f3017,f1880]) ).
fof(f32104,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(or(implies(X1,and(X1,X1)),X2),X0))) ),
inference(resolution,[status(thm)],[f3017,f1208]) ).
fof(f32105,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(or(implies(X0,and(X0,X0)),X1)))) ),
inference(resolution,[status(thm)],[f3017,f1152]) ).
fof(f32106,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| is_a_theorem(and(or(implies(X0,and(X0,X0)),X1),or(implies(X0,and(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f3017,f3013]) ).
fof(f32107,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3017,f1148]) ).
fof(f32108,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3017,f1164]) ).
fof(f32109,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(or(or(implies(X0,and(X0,X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f3017,f1142]) ).
fof(f32110,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(or(implies(X0,and(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f3017,f666]) ).
fof(f32111,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(or(implies(X1,and(X1,X1)),X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3017,f700]) ).
fof(f32112,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(or(or(necessarily(implies(X0,X1)),and(possibly(and(X0,not(X1))),possibly(and(X0,not(X1))))),X2)) ),
inference(paramodulation,[status(thm)],[f1317,f3017]) ).
fof(f32113,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(or(or(necessarily(possibly(X0)),and(possibly(necessarily(not(X0))),possibly(necessarily(not(X0))))),X1)) ),
inference(paramodulation,[status(thm)],[f1290,f3017]) ).
fof(f32114,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(or(or(and(X0,possibly(X1)),and(implies(X0,necessarily(not(X1))),implies(X0,necessarily(not(X1))))),X2)) ),
inference(paramodulation,[status(thm)],[f1304,f3017]) ).
fof(f32115,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(or(or(and(X0,implies(X1,X2)),and(implies(X0,and(X1,not(X2))),implies(X0,and(X1,not(X2))))),X3)) ),
inference(paramodulation,[status(thm)],[f1298,f3017]) ).
fof(f32118,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(or(X0,not(X0)),equiv(not(X0),not(X0))),X1)) ),
inference(paramodulation,[status(thm)],[f1394,f3017]) ).
fof(f32119,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(implies(X0,X0),equiv(X0,X0)),X1)) ),
inference(paramodulation,[status(thm)],[f659,f3017]) ).
fof(f32120,definition,
! [X0] :
( sQ209_spl
<=> ~ is_a_theorem(not(implies(X0,and(X0,X0)))) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f32121,plain,
! [X0] :
( ~ sQ209_spl
| ~ is_a_theorem(not(implies(X0,and(X0,X0)))) ),
inference(component_clause,[status(thm)],[f32120]) ).
fof(f32123,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| sQ173_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f32079,f32120,f1459,f518,f452,f341,f644,f630]) ).
fof(f32125,plain,
( sQ100_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f21644]) ).
fof(f32127,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,possibly(implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f4858]) ).
fof(f32128,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,possibly(equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f4820]) ).
fof(f32134,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f1150]) ).
fof(f32135,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(necessarily(or(X0,equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f4574]) ).
fof(f32136,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3295]) ).
fof(f32138,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,necessarily(implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3179]) ).
fof(f32139,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,necessarily(equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3304]) ).
fof(f32143,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(X1,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3188]) ).
fof(f32161,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1047,f1245]) ).
fof(f32162,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1047,f1244]) ).
fof(f32163,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1047,f1248]) ).
fof(f32164,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1047,f1253]) ).
fof(f32166,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)],[f1047,f1251]) ).
fof(f32172,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(necessarily(or(X0,implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f1047,f3443]) ).
fof(f32176,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3032]) ).
fof(f32189,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)],[f1047,f1251]) ).
fof(f32191,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1047,f1181]) ).
fof(f32216,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(X0,or(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f1149]) ).
fof(f32236,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(paramodulation,[status(thm)],[f1047,f3447]) ).
fof(f32237,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1047,f387]) ).
fof(f32320,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,not(X1)),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f645,f3034]) ).
fof(f32366,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f1118,f32320]) ).
fof(f32369,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(paramodulation,[status(thm)],[f659,f7836]) ).
fof(f32370,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(implies(X0,X0),equiv(X0,X0)),X1)) ),
inference(paramodulation,[status(thm)],[f659,f3017]) ).
fof(f32371,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1245]) ).
fof(f32372,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f1244]) ).
fof(f32373,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1345]) ).
fof(f32374,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f1344]) ).
fof(f32375,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f659,f1176]) ).
fof(f32376,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f659,f1175]) ).
fof(f32377,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f1210]) ).
fof(f32378,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(implies(implies(X0,X0),equiv(X0,X0)))) ),
inference(paramodulation,[status(thm)],[f659,f3020]) ).
fof(f32379,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1171]) ).
fof(f32380,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f659,f1146]) ).
fof(f32381,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1170]) ).
fof(f32382,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1145]) ).
fof(f32383,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)],[f659,f442]) ).
fof(f32384,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f659,f519]) ).
fof(f32385,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f659,f420]) ).
fof(f32386,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f659,f431]) ).
fof(f32428,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(not(X0)),possibly(X0))) ),
inference(paramodulation,[status(thm)],[f943,f3034]) ).
fof(f32474,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),possibly(X0))) ),
inference(forward_demodulation,[status(thm)],[f1119,f32428]) ).
fof(f32475,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ182_spl
| is_a_theorem(sK57_skl) ),
inference(resolution,[status(thm)],[f1860,f1131]) ).
fof(f32476,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ182_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1905]) ).
fof(f32477,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ182_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1924]) ).
fof(f32478,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ182_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f20882]) ).
fof(f32479,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(X0,X0),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f3028]) ).
fof(f32480,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ182_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f3290]) ).
fof(f32481,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1881]) ).
fof(f32482,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1882]) ).
fof(f32483,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1884]) ).
fof(f32484,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1883]) ).
fof(f32485,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1885]) ).
fof(f32486,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f3015]) ).
fof(f32487,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1871]) ).
fof(f32488,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1870]) ).
fof(f32489,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1869]) ).
fof(f32490,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1872]) ).
fof(f32491,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1873]) ).
fof(f32492,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1875]) ).
fof(f32493,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1877]) ).
fof(f32494,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1876]) ).
fof(f32495,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1874]) ).
fof(f32496,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1878]) ).
fof(f32497,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1879]) ).
fof(f32498,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1880]) ).
fof(f32499,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ182_spl
| is_a_theorem(implies(X0,and(necessarily(sK57_skl),X0))) ),
inference(resolution,[status(thm)],[f1860,f1208]) ).
fof(f32500,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ182_spl
| is_a_theorem(necessarily(possibly(necessarily(sK57_skl)))) ),
inference(resolution,[status(thm)],[f1860,f1152]) ).
fof(f32501,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ182_spl
| is_a_theorem(and(necessarily(sK57_skl),necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f3013]) ).
fof(f32502,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ182_spl
| is_a_theorem(implies(X0,necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1148]) ).
fof(f32503,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ182_spl
| is_a_theorem(or(X0,necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f1164]) ).
fof(f32504,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ182_spl
| is_a_theorem(or(necessarily(sK57_skl),X0)) ),
inference(resolution,[status(thm)],[f1860,f1142]) ).
fof(f32505,plain,
( ~ sQ89_spl
| ~ sQ182_spl
| is_a_theorem(necessarily(necessarily(sK57_skl))) ),
inference(resolution,[status(thm)],[f1860,f666]) ).
fof(f32506,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ182_spl
| is_a_theorem(and(necessarily(sK57_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1860,f700]) ).
fof(f32507,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ182_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f32475,f684,f1859,f744,f341]) ).
fof(f32508,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ176_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20749,f1472]) ).
fof(f32509,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ176_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20761,f1472]) ).
fof(f32510,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| ~ sQ176_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20835,f1472]) ).
fof(f32511,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ176_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20751,f1472]) ).
fof(f32512,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ176_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20760,f1472]) ).
fof(f32513,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ176_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f21010,f1472]) ).
fof(f32514,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ176_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20779,f1472]) ).
fof(f32515,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ176_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f30785,f1472]) ).
fof(f32516,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ176_spl
| ~ is_a_theorem(implies(or(X0,X1),not(X2))) ),
inference(backward_subsumption_resolution,[status(thm)],[f11923,f1472]) ).
fof(f32517,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ176_spl
| ~ is_a_theorem(implies(X0,not(and(X0,or(X1,X2))))) ),
inference(backward_subsumption_resolution,[status(thm)],[f20981,f1472]) ).
fof(f32518,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ176_spl
| ~ is_a_theorem(implies(or(X0,X1),not(equiv(not(X0),X1)))) ),
inference(backward_subsumption_resolution,[status(thm)],[f20559,f1472]) ).
fof(f32519,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ176_spl
| ~ is_a_theorem(implies(implies(X0,X1),not(equiv(X0,X1)))) ),
inference(backward_subsumption_resolution,[status(thm)],[f20697,f1472]) ).
fof(f32520,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ176_spl ),
inference(contradiction_clause,[status(thm)],[f32508]) ).
fof(f32521,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(sK59_skl) ),
inference(resolution,[status(thm)],[f1856,f1131]) ).
fof(f32522,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1905]) ).
fof(f32523,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1924]) ).
fof(f32524,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ181_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f20882]) ).
fof(f32525,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,X0),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f3028]) ).
fof(f32526,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ181_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f3290]) ).
fof(f32527,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1881]) ).
fof(f32528,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1882]) ).
fof(f32529,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1884]) ).
fof(f32530,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1883]) ).
fof(f32531,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1885]) ).
fof(f32532,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f3015]) ).
fof(f32533,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1871]) ).
fof(f32534,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1870]) ).
fof(f32535,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1869]) ).
fof(f32536,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1872]) ).
fof(f32537,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1873]) ).
fof(f32538,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1875]) ).
fof(f32539,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1877]) ).
fof(f32540,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1876]) ).
fof(f32541,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1874]) ).
fof(f32542,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1878]) ).
fof(f32543,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1879]) ).
fof(f32544,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1880]) ).
fof(f32545,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,and(necessarily(sK59_skl),X0))) ),
inference(resolution,[status(thm)],[f1856,f1208]) ).
fof(f32546,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(possibly(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1856,f1152]) ).
fof(f32547,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ181_spl
| is_a_theorem(and(necessarily(sK59_skl),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f3013]) ).
fof(f32548,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1148]) ).
fof(f32549,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f1164]) ).
fof(f32550,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ181_spl
| is_a_theorem(or(necessarily(sK59_skl),X0)) ),
inference(resolution,[status(thm)],[f1856,f1142]) ).
fof(f32551,plain,
( ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1856,f666]) ).
fof(f32552,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ181_spl
| is_a_theorem(and(necessarily(sK59_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1856,f700]) ).
fof(f32584,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1905]) ).
fof(f32585,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1924]) ).
fof(f32586,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f20882]) ).
fof(f32587,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,X0),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f3028]) ).
fof(f32588,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(equiv(X0,X0),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f3290]) ).
fof(f32589,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1881]) ).
fof(f32590,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1882]) ).
fof(f32591,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1884]) ).
fof(f32592,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1883]) ).
fof(f32593,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1885]) ).
fof(f32594,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f3015]) ).
fof(f32595,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),X0),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1871]) ).
fof(f32596,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1870]) ).
fof(f32597,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1869]) ).
fof(f32598,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X1),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1872]) ).
fof(f32599,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X0),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1873]) ).
fof(f32600,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1875]) ).
fof(f32601,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1877]) ).
fof(f32602,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1876]) ).
fof(f32603,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1874]) ).
fof(f32604,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1878]) ).
fof(f32605,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1879]) ).
fof(f32606,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1880]) ).
fof(f32607,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,and(sK59_skl,X0))) ),
inference(resolution,[status(thm)],[f32521,f1208]) ).
fof(f32608,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f32521,f1152]) ).
fof(f32609,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(sK59_skl,sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f3013]) ).
fof(f32610,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1148]) ).
fof(f32611,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,sK59_skl)) ),
inference(resolution,[status(thm)],[f32521,f1164]) ).
fof(f32612,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(sK59_skl,X0)) ),
inference(resolution,[status(thm)],[f32521,f1142]) ).
fof(f32614,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(sK59_skl,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f32521,f700]) ).
fof(f32616,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(sK59_skl,X0),equiv(X0,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1160]) ).
fof(f32617,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(sK59_skl,X0),implies(X1,X0))) ),
inference(resolution,[status(thm)],[f32610,f1280]) ).
fof(f32619,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(sK59_skl)
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f32610,f342]) ).
fof(f32620,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1905]) ).
fof(f32621,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1924]) ).
fof(f32622,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f20882]) ).
fof(f32623,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f3028]) ).
fof(f32624,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f3290]) ).
fof(f32625,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1881]) ).
fof(f32626,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1882]) ).
fof(f32627,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1884]) ).
fof(f32628,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1883]) ).
fof(f32629,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1885]) ).
fof(f32630,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f3015]) ).
fof(f32631,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1871]) ).
fof(f32632,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1870]) ).
fof(f32633,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1869]) ).
fof(f32634,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1872]) ).
fof(f32635,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1873]) ).
fof(f32636,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1875]) ).
fof(f32637,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1877]) ).
fof(f32638,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1876]) ).
fof(f32639,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1874]) ).
fof(f32640,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1878]) ).
fof(f32641,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1879]) ).
fof(f32642,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1880]) ).
fof(f32643,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,and(implies(X1,sK59_skl),X0))) ),
inference(resolution,[status(thm)],[f32610,f1208]) ).
fof(f32644,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(possibly(implies(X0,sK59_skl)))) ),
inference(resolution,[status(thm)],[f32610,f1152]) ).
fof(f32645,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,sK59_skl),implies(X0,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f3013]) ).
fof(f32646,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,implies(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1148]) ).
fof(f32647,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,implies(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f1164]) ).
fof(f32648,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(implies(X0,sK59_skl),X1)) ),
inference(resolution,[status(thm)],[f32610,f1142]) ).
fof(f32649,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(implies(X0,sK59_skl))) ),
inference(resolution,[status(thm)],[f32610,f666]) ).
fof(f32650,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X1,sK59_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f32610,f700]) ).
fof(f32651,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,sK59_skl)) ),
inference(paramodulation,[status(thm)],[f1047,f32610]) ).
fof(f32652,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| sQ100_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f32619,f1270,f707,f1855,f744,f386,f341]) ).
fof(f32670,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(and(X1,X2),X2))) ),
inference(paramodulation,[status(thm)],[f1119,f1345]) ).
fof(f32671,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(and(X1,X2),X1))) ),
inference(paramodulation,[status(thm)],[f1119,f1344]) ).
fof(f32672,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(necessarily(X1),X1))) ),
inference(paramodulation,[status(thm)],[f1119,f1348]) ).
fof(f32674,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(possibly(X0),implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1119,f1356]) ).
fof(f32675,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)],[f1119,f1355]) ).
fof(f32691,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)],[f1119,f1166]) ).
fof(f32698,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),not(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1119,f3034]) ).
fof(f32708,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)],[f1119,f1355]) ).
fof(f32710,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(possibly(X1),X0)),X2)) ),
inference(paramodulation,[status(thm)],[f1119,f1182]) ).
fof(f32725,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)],[f1119,f1165]) ).
fof(f32727,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(X1),X0))) ),
inference(paramodulation,[status(thm)],[f1119,f464]) ).
fof(f32746,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),possibly(X0))) ),
inference(forward_demodulation,[status(thm)],[f943,f32698]) ).
fof(f32801,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X2,X3),X3))) ),
inference(paramodulation,[status(thm)],[f1118,f1345]) ).
fof(f32802,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X2,X3),X2))) ),
inference(paramodulation,[status(thm)],[f1118,f1344]) ).
fof(f32803,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(necessarily(X2),X2))) ),
inference(paramodulation,[status(thm)],[f1118,f1348]) ).
fof(f32805,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1118,f1356]) ).
fof(f32806,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)],[f1118,f1355]) ).
fof(f32822,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)],[f1118,f1166]) ).
fof(f32829,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),not(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1118,f3034]) ).
fof(f32839,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)],[f1118,f1355]) ).
fof(f32841,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,X2),X0)),X3)) ),
inference(paramodulation,[status(thm)],[f1118,f1182]) ).
fof(f32856,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)],[f1118,f1165]) ).
fof(f32858,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f1118,f464]) ).
fof(f32877,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f645,f32829]) ).
fof(f32968,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(X0,sK59_skl),implies(or(not(X1),X0),sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f2544]) ).
fof(f32969,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(sK59_skl,X0),or(X1,X0))) ),
inference(resolution,[status(thm)],[f32611,f2485]) ).
fof(f32970,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(sK59_skl,not(X0)),equiv(not(X0),sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f2432]) ).
fof(f32971,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1905]) ).
fof(f32972,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1924]) ).
fof(f32973,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f20882]) ).
fof(f32974,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,X0),or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f3028]) ).
fof(f32975,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(equiv(X0,X0),or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f3290]) ).
fof(f32976,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1881]) ).
fof(f32977,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1882]) ).
fof(f32978,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1884]) ).
fof(f32979,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1883]) ).
fof(f32980,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1885]) ).
fof(f32981,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f3015]) ).
fof(f32982,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1871]) ).
fof(f32983,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1870]) ).
fof(f32984,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1869]) ).
fof(f32985,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1872]) ).
fof(f32986,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1873]) ).
fof(f32987,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1875]) ).
fof(f32988,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(X3,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1877]) ).
fof(f32989,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(X3,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1876]) ).
fof(f32990,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1874]) ).
fof(f32991,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1878]) ).
fof(f32992,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1879]) ).
fof(f32993,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1880]) ).
fof(f32994,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,and(or(X1,sK59_skl),X0))) ),
inference(resolution,[status(thm)],[f32611,f1208]) ).
fof(f32995,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(possibly(or(X0,sK59_skl)))) ),
inference(resolution,[status(thm)],[f32611,f1152]) ).
fof(f32996,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,sK59_skl),or(X0,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f3013]) ).
fof(f32997,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1148]) ).
fof(f32998,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f1164]) ).
fof(f32999,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(or(X0,sK59_skl),X1)) ),
inference(resolution,[status(thm)],[f32611,f1142]) ).
fof(f33000,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(or(X0,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f666]) ).
fof(f33001,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X1,sK59_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f32611,f700]) ).
fof(f33002,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(X0,X1),sK59_skl)) ),
inference(paramodulation,[status(thm)],[f1118,f32611]) ).
fof(f33003,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(possibly(X0),sK59_skl)) ),
inference(paramodulation,[status(thm)],[f1119,f32611]) ).
fof(f33059,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),sK59_skl)) ),
inference(resolution,[status(thm)],[f32612,f2989]) ).
fof(f33060,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(and(X0,possibly(X1)),sK59_skl)) ),
inference(resolution,[status(thm)],[f32612,f2986]) ).
fof(f33061,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),sK59_skl)) ),
inference(resolution,[status(thm)],[f32612,f2987]) ).
fof(f33062,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(and(X0,not(X1)),sK59_skl)) ),
inference(resolution,[status(thm)],[f32612,f2391]) ).
fof(f33063,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,sK59_skl)) ),
inference(resolution,[status(thm)],[f32612,f1228]) ).
fof(f33064,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(sK59_skl),X0),X1))) ),
inference(resolution,[status(thm)],[f32612,f2544]) ).
fof(f33065,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(X0,X1),or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f32612,f2485]) ).
fof(f33066,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(X0,not(sK59_skl)),equiv(not(sK59_skl),X0))) ),
inference(resolution,[status(thm)],[f32612,f2432]) ).
fof(f33067,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f32612,f1905]) ).
fof(f33068,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f32612,f1924]) ).
fof(f33069,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f32612,f20882]) ).
fof(f33070,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,X0),or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f32612,f3028]) ).
fof(f33071,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(equiv(X0,X0),or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f32612,f3290]) ).
fof(f33072,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f32612,f1881]) ).
fof(f33073,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f32612,f1882]) ).
fof(f33074,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f32612,f1884]) ).
fof(f33075,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f32612,f1883]) ).
fof(f33076,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f32612,f1885]) ).
fof(f33077,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f32612,f3015]) ).
fof(f33078,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),X0),or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f32612,f1871]) ).
fof(f33079,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f32612,f1870]) ).
fof(f33080,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f32612,f1869]) ).
fof(f33081,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X1),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f32612,f1872]) ).
fof(f33082,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X0),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f32612,f1873]) ).
fof(f33083,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f32612,f1875]) ).
fof(f33084,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),or(sK59_skl,X3))) ),
inference(resolution,[status(thm)],[f32612,f1877]) ).
fof(f33085,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),or(sK59_skl,X3))) ),
inference(resolution,[status(thm)],[f32612,f1876]) ).
fof(f33086,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f32612,f1874]) ).
fof(f33087,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f32612,f1878]) ).
fof(f33088,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f32612,f1879]) ).
fof(f33089,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f32612,f1880]) ).
fof(f33090,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,and(or(sK59_skl,X1),X0))) ),
inference(resolution,[status(thm)],[f32612,f1208]) ).
fof(f33091,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(possibly(or(sK59_skl,X0)))) ),
inference(resolution,[status(thm)],[f32612,f1152]) ).
fof(f33092,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(sK59_skl,X0),or(sK59_skl,X0))) ),
inference(resolution,[status(thm)],[f32612,f3013]) ).
fof(f33093,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f32612,f1148]) ).
fof(f33094,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f32612,f1164]) ).
fof(f33095,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(or(sK59_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f32612,f1142]) ).
fof(f33096,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(or(sK59_skl,X0))) ),
inference(resolution,[status(thm)],[f32612,f666]) ).
fof(f33097,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(sK59_skl,X1),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f32612,f700]) ).
fof(f33111,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1245]) ).
fof(f33112,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f1121,f1244]) ).
fof(f33113,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),X2),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1345]) ).
fof(f33115,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),implies(X1,not(X0))),X2)) ),
inference(paramodulation,[status(thm)],[f1121,f1176]) ).
fof(f33117,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f1121,f1210]) ).
fof(f33118,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)],[f1121,f1171]) ).
fof(f33119,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(not(X0),X1),implies(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1121,f1146]) ).
fof(f33121,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f1121,f1145]) ).
fof(f33122,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)],[f1121,f442]) ).
fof(f33123,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)],[f1121,f420]) ).
fof(f33124,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)],[f1121,f431]) ).
fof(f33142,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f1120,f1245]) ).
fof(f33143,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1120,f1244]) ).
fof(f33145,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,not(X2)),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f1120,f1344]) ).
fof(f33147,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,not(X1)),implies(X0,not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f1120,f1175]) ).
fof(f33148,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1120,f1210]) ).
fof(f33149,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,not(X1)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1120,f1171]) ).
fof(f33150,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)],[f1120,f1146]) ).
fof(f33151,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(X1)))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f1120,f1170]) ).
fof(f33153,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)],[f1120,f442]) ).
fof(f33154,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)],[f1120,f420]) ).
fof(f33155,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)],[f1120,f431]) ).
fof(f33316,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1905]) ).
fof(f33317,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1924]) ).
fof(f33318,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f20882]) ).
fof(f33319,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,X0),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f3028]) ).
fof(f33320,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f3290]) ).
fof(f33321,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1881]) ).
fof(f33322,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1882]) ).
fof(f33323,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1884]) ).
fof(f33324,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1883]) ).
fof(f33325,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1885]) ).
fof(f33326,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f3015]) ).
fof(f33327,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1871]) ).
fof(f33328,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1870]) ).
fof(f33329,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1869]) ).
fof(f33330,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1872]) ).
fof(f33331,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1873]) ).
fof(f33332,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1875]) ).
fof(f33333,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1877]) ).
fof(f33334,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1876]) ).
fof(f33335,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1874]) ).
fof(f33336,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1878]) ).
fof(f33337,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1879]) ).
fof(f33338,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1880]) ).
fof(f33339,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(sK59_skl)),X0))) ),
inference(resolution,[status(thm)],[f32551,f1208]) ).
fof(f33340,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(possibly(necessarily(necessarily(sK59_skl))))) ),
inference(resolution,[status(thm)],[f32551,f1152]) ).
fof(f33341,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(necessarily(necessarily(sK59_skl)),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f3013]) ).
fof(f33342,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1148]) ).
fof(f33343,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f1164]) ).
fof(f33344,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(or(necessarily(necessarily(sK59_skl)),X0)) ),
inference(resolution,[status(thm)],[f32551,f1142]) ).
fof(f33345,plain,
( ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f666]) ).
fof(f33346,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(and(necessarily(necessarily(sK59_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f32551,f700]) ).
fof(f33347,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(possibly(sK59_skl)) ),
inference(resolution,[status(thm)],[f32608,f1131]) ).
fof(f33348,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1905]) ).
fof(f33349,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1924]) ).
fof(f33350,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f20882]) ).
fof(f33351,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,X0),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f3028]) ).
fof(f33352,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f3290]) ).
fof(f33353,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1881]) ).
fof(f33354,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1882]) ).
fof(f33355,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1884]) ).
fof(f33356,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1883]) ).
fof(f33357,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1885]) ).
fof(f33358,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f3015]) ).
fof(f33359,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1871]) ).
fof(f33360,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1870]) ).
fof(f33361,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1869]) ).
fof(f33362,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1872]) ).
fof(f33363,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1873]) ).
fof(f33364,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1875]) ).
fof(f33365,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1877]) ).
fof(f33366,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1876]) ).
fof(f33367,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1874]) ).
fof(f33368,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1878]) ).
fof(f33369,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1879]) ).
fof(f33370,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1880]) ).
fof(f33371,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,and(necessarily(possibly(sK59_skl)),X0))) ),
inference(resolution,[status(thm)],[f32608,f1208]) ).
fof(f33372,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(possibly(necessarily(possibly(sK59_skl))))) ),
inference(resolution,[status(thm)],[f32608,f1152]) ).
fof(f33373,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(necessarily(possibly(sK59_skl)),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f3013]) ).
fof(f33374,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1148]) ).
fof(f33375,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f1164]) ).
fof(f33376,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(necessarily(possibly(sK59_skl)),X0)) ),
inference(resolution,[status(thm)],[f32608,f1142]) ).
fof(f33377,plain,
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32608,f666]) ).
fof(f33378,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(necessarily(possibly(sK59_skl)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f32608,f700]) ).
fof(f33379,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1905]) ).
fof(f33380,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1924]) ).
fof(f33381,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f20882]) ).
fof(f33382,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,X0),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f3028]) ).
fof(f33383,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(equiv(X0,X0),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f3290]) ).
fof(f33384,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1881]) ).
fof(f33385,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1882]) ).
fof(f33386,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1884]) ).
fof(f33387,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1883]) ).
fof(f33388,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1885]) ).
fof(f33389,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f3015]) ).
fof(f33390,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),X0),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1871]) ).
fof(f33391,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1870]) ).
fof(f33392,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1869]) ).
fof(f33393,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X1),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1872]) ).
fof(f33394,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X0),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1873]) ).
fof(f33395,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1875]) ).
fof(f33396,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1877]) ).
fof(f33397,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1876]) ).
fof(f33398,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1874]) ).
fof(f33399,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1878]) ).
fof(f33400,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1879]) ).
fof(f33401,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1880]) ).
fof(f33402,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,and(possibly(sK59_skl),X0))) ),
inference(resolution,[status(thm)],[f33347,f1208]) ).
fof(f33403,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(possibly(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f33347,f1152]) ).
fof(f33404,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(possibly(sK59_skl),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f3013]) ).
fof(f33405,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1148]) ).
fof(f33406,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33347,f1164]) ).
fof(f33407,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(or(possibly(sK59_skl),X0)) ),
inference(resolution,[status(thm)],[f33347,f1142]) ).
fof(f33409,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(possibly(sK59_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f33347,f700]) ).
fof(f33412,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1905]) ).
fof(f33413,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1924]) ).
fof(f33414,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f20882]) ).
fof(f33415,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,X0),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f3028]) ).
fof(f33416,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(equiv(X0,X0),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f3290]) ).
fof(f33417,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1881]) ).
fof(f33418,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1882]) ).
fof(f33419,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1884]) ).
fof(f33420,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1883]) ).
fof(f33421,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1885]) ).
fof(f33422,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f3015]) ).
fof(f33423,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1871]) ).
fof(f33424,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1870]) ).
fof(f33425,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1869]) ).
fof(f33426,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1872]) ).
fof(f33427,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1873]) ).
fof(f33428,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1875]) ).
fof(f33429,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1877]) ).
fof(f33430,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1876]) ).
fof(f33431,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1874]) ).
fof(f33432,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1878]) ).
fof(f33433,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1879]) ).
fof(f33434,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1880]) ).
fof(f33435,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,and(and(sK59_skl,sK59_skl),X0))) ),
inference(resolution,[status(thm)],[f32609,f1208]) ).
fof(f33436,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(possibly(and(sK59_skl,sK59_skl)))) ),
inference(resolution,[status(thm)],[f32609,f1152]) ).
fof(f33437,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(and(sK59_skl,sK59_skl),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f3013]) ).
fof(f33438,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1148]) ).
fof(f33439,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f1164]) ).
fof(f33440,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(and(sK59_skl,sK59_skl),X0)) ),
inference(resolution,[status(thm)],[f32609,f1142]) ).
fof(f33441,plain,
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f32609,f666]) ).
fof(f33442,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(and(sK59_skl,sK59_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f32609,f700]) ).
fof(f33443,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),sK59_skl)) ),
inference(resolution,[status(thm)],[f1868,f32521]) ).
fof(f33444,plain,
( ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),strict_equiv(sK60_skl,sK61_skl))) ),
inference(resolution,[status(thm)],[f1868,f723]) ).
fof(f33445,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f1868,f32609]) ).
fof(f33451,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f1868,f33347]) ).
fof(f33461,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(sK59_skl,X0))) ),
inference(resolution,[status(thm)],[f1868,f32612]) ).
fof(f33480,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),or(X0,sK59_skl))) ),
inference(resolution,[status(thm)],[f1868,f32611]) ).
fof(f33501,plain,
( ~ sQ181_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1868,f1856]) ).
fof(f33507,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1868,f32608]) ).
fof(f33516,plain,
( ~ sQ89_spl
| ~ sQ181_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1868,f32551]) ).
fof(f33574,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ104_spl
| ~ sQ98_spl
| is_a_theorem(and(strict_equiv(sK60_skl,sK61_skl),implies(X0,sK59_skl))) ),
inference(resolution,[status(thm)],[f1868,f32610]) ).
fof(f33596,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(sK59_skl)) ),
inference(resolution,[status(thm)],[f1122,f32612]) ).
fof(f33615,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(sK59_skl)
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1122,f32611]) ).
fof(f33637,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ173_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f33596,f1463,f1459,f644,f630,f1855,f744,f452,f341]) ).
fof(f33656,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ100_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f33615,f1471,f707,f644,f630,f1855,f744,f463,f341]) ).
fof(f33672,plain,
( sQ99_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f21645]) ).
fof(f33673,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(sK58_skl) ),
inference(resolution,[status(thm)],[f1852,f1131]) ).
fof(f33674,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ180_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1905]) ).
fof(f33675,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ180_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1924]) ).
fof(f33676,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ180_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f20882]) ).
fof(f33677,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,X0),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f3028]) ).
fof(f33678,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ180_spl
| is_a_theorem(and(equiv(X0,X0),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f3290]) ).
fof(f33679,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1881]) ).
fof(f33680,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1882]) ).
fof(f33681,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1884]) ).
fof(f33682,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1883]) ).
fof(f33683,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1885]) ).
fof(f33684,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f3015]) ).
fof(f33685,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(necessarily(X0),X0),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1871]) ).
fof(f33686,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1870]) ).
fof(f33687,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1869]) ).
fof(f33688,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(and(X0,X1),X1),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1872]) ).
fof(f33689,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(and(X0,X1),X0),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1873]) ).
fof(f33690,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1875]) ).
fof(f33691,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1877]) ).
fof(f33692,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1876]) ).
fof(f33693,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1874]) ).
fof(f33694,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1878]) ).
fof(f33695,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1879]) ).
fof(f33696,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1880]) ).
fof(f33697,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,and(necessarily(sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f1852,f1208]) ).
fof(f33698,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(possibly(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1852,f1152]) ).
fof(f33699,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ180_spl
| is_a_theorem(and(necessarily(sK58_skl),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f3013]) ).
fof(f33700,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1148]) ).
fof(f33701,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f1164]) ).
fof(f33702,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ180_spl
| is_a_theorem(or(necessarily(sK58_skl),X0)) ),
inference(resolution,[status(thm)],[f1852,f1142]) ).
fof(f33703,plain,
( ~ sQ89_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1852,f666]) ).
fof(f33704,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ180_spl
| is_a_theorem(and(necessarily(sK58_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1852,f700]) ).
fof(f33705,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1905]) ).
fof(f33706,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1924]) ).
fof(f33707,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f20882]) ).
fof(f33708,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,X0),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f3028]) ).
fof(f33709,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(equiv(X0,X0),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f3290]) ).
fof(f33710,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1881]) ).
fof(f33711,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1882]) ).
fof(f33712,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1884]) ).
fof(f33713,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1883]) ).
fof(f33714,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1885]) ).
fof(f33715,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f3015]) ).
fof(f33716,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(necessarily(X0),X0),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1871]) ).
fof(f33717,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1870]) ).
fof(f33718,plain,
! [X0,X1] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1869]) ).
fof(f33719,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(and(X0,X1),X1),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1872]) ).
fof(f33720,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(and(X0,X1),X0),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1873]) ).
fof(f33721,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1875]) ).
fof(f33722,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1877]) ).
fof(f33723,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1876]) ).
fof(f33724,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1874]) ).
fof(f33725,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1878]) ).
fof(f33726,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1879]) ).
fof(f33727,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1880]) ).
fof(f33728,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,and(sK58_skl,X0))) ),
inference(resolution,[status(thm)],[f33673,f1208]) ).
fof(f33729,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(possibly(sK58_skl))) ),
inference(resolution,[status(thm)],[f33673,f1152]) ).
fof(f33730,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(sK58_skl,sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f3013]) ).
fof(f33731,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1148]) ).
fof(f33732,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f33673,f1164]) ).
fof(f33733,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(sK58_skl,X0)) ),
inference(resolution,[status(thm)],[f33673,f1142]) ).
fof(f33735,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(sK58_skl,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f33673,f700]) ).
fof(f33738,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f3232,f1905]) ).
fof(f33739,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f3232,f1924]) ).
fof(f33740,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),and(or(X1,or(not(X1),X2)),or(X1,or(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f3232,f20882]) ).
fof(f33741,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,X0),and(or(X1,or(not(X1),X2)),or(X1,or(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f3232,f3028]) ).
fof(f33742,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(equiv(X0,X0),and(or(X1,or(not(X1),X2)),or(X1,or(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f3232,f3290]) ).
fof(f33743,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f3232,f1881]) ).
fof(f33744,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f3232,f1882]) ).
fof(f33745,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f3232,f1884]) ).
fof(f33746,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f3232,f1883]) ).
fof(f33747,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(or(X1,or(not(X1),X2)),or(X1,or(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f3232,f1885]) ).
fof(f33748,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(or(X1,or(not(X1),X2)),or(X1,or(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f3232,f3015]) ).
fof(f33749,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(or(X1,or(not(X1),X2)),or(X1,or(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f3232,f1871]) ).
fof(f33750,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(or(X1,or(not(X1),X2)),or(X1,or(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f3232,f1870]) ).
fof(f33751,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f3232,f1869]) ).
fof(f33752,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f3232,f1872]) ).
fof(f33753,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f3232,f1873]) ).
fof(f33754,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f3232,f1875]) ).
fof(f33755,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(or(X3,or(not(X3),X4)),or(X3,or(not(X3),X4))))) ),
inference(resolution,[status(thm)],[f3232,f1877]) ).
fof(f33756,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(or(X3,or(not(X3),X4)),or(X3,or(not(X3),X4))))) ),
inference(resolution,[status(thm)],[f3232,f1876]) ).
fof(f33757,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f3232,f1874]) ).
fof(f33758,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f3232,f1878]) ).
fof(f33759,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f3232,f1879]) ).
fof(f33760,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f3232,f1880]) ).
fof(f33761,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(and(or(X1,or(not(X1),X2)),or(X1,or(not(X1),X2))),X0))) ),
inference(resolution,[status(thm)],[f3232,f1208]) ).
fof(f33762,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(and(or(X0,or(not(X0),X1)),or(X0,or(not(X0),X1)))))) ),
inference(resolution,[status(thm)],[f3232,f1152]) ).
fof(f33763,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(and(or(X0,or(not(X0),X1)),or(X0,or(not(X0),X1))),and(or(X0,or(not(X0),X1)),or(X0,or(not(X0),X1))))) ),
inference(resolution,[status(thm)],[f3232,f3013]) ).
fof(f33764,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(or(X1,or(not(X1),X2)),or(X1,or(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f3232,f1148]) ).
fof(f33765,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(or(X1,or(not(X1),X2)),or(X1,or(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f3232,f1164]) ).
fof(f33766,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,or(not(X0),X1)),or(X0,or(not(X0),X1))),X2)) ),
inference(resolution,[status(thm)],[f3232,f1142]) ).
fof(f33767,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(and(or(X0,or(not(X0),X1)),or(X0,or(not(X0),X1))))) ),
inference(resolution,[status(thm)],[f3232,f666]) ).
fof(f33768,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(and(or(X1,or(not(X1),X2)),or(X1,or(not(X1),X2))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3232,f700]) ).
fof(f33771,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(possibly(X0)),or(possibly(necessarily(not(X0))),X1)),or(necessarily(possibly(X0)),or(not(necessarily(possibly(X0))),X1)))) ),
inference(paramodulation,[status(thm)],[f1114,f3232]) ).
fof(f33772,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(implies(X0,X1)),or(possibly(and(X0,not(X1))),X2)),or(necessarily(implies(X0,X1)),or(not(necessarily(implies(X0,X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1117,f3232]) ).
fof(f33774,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,implies(X1,X2)),or(implies(X0,and(X1,not(X2))),X3)),or(and(X0,implies(X1,X2)),or(not(and(X0,implies(X1,X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f1115,f3232]) ).
fof(f33775,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,possibly(X1)),or(implies(X0,necessarily(not(X1))),X2)),or(and(X0,possibly(X1)),or(not(and(X0,possibly(X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f1116,f3232]) ).
fof(f33791,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(possibly(X0)),or(possibly(necessarily(not(X0))),X1)),or(necessarily(possibly(X0)),or(possibly(necessarily(not(X0))),X1)))) ),
inference(forward_demodulation,[status(thm)],[f1114,f33771]) ).
fof(f33792,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(implies(X0,X1)),or(possibly(and(X0,not(X1))),X2)),or(necessarily(implies(X0,X1)),or(possibly(and(X0,not(X1))),X2)))) ),
inference(forward_demodulation,[status(thm)],[f1117,f33772]) ).
fof(f33796,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,implies(X1,X2)),or(implies(X0,and(X1,not(X2))),X3)),or(and(X0,implies(X1,X2)),or(implies(X0,and(X1,not(X2))),X3)))) ),
inference(forward_demodulation,[status(thm)],[f1115,f33774]) ).
fof(f33797,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,possibly(X1)),or(implies(X0,necessarily(not(X1))),X2)),or(and(X0,possibly(X1)),or(implies(X0,necessarily(not(X1))),X2)))) ),
inference(forward_demodulation,[status(thm)],[f1116,f33775]) ).
fof(f33817,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),sK58_skl)) ),
inference(resolution,[status(thm)],[f1943,f33673]) ).
fof(f33818,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),sK59_skl)) ),
inference(resolution,[status(thm)],[f1943,f32521]) ).
fof(f33819,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),and(or(X2,or(not(X2),X3)),or(X2,or(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1943,f3232]) ).
fof(f33820,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),and(sK59_skl,sK59_skl))) ),
inference(resolution,[status(thm)],[f1943,f32609]) ).
fof(f33821,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),and(not(and(not(X2),or(X2,X2))),not(and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1943,f21009]) ).
fof(f33822,plain,
! [X0,X1,X2,X3] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),and(implies(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1943,f7836]) ).
fof(f33823,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),and(implies(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1943,f7801]) ).
fof(f33824,plain,
! [X0,X1,X2,X3] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),and(equiv(X2,X2),implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1943,f7597]) ).
fof(f33825,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),and(equiv(X2,X2),equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1943,f7566]) ).
fof(f33826,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f1943,f33347]) ).
fof(f33827,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),possibly(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1943,f31154]) ).
fof(f33828,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),possibly(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1943,f31095]) ).
fof(f33829,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),possibly(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f1943,f11303]) ).
fof(f33830,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),possibly(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1943,f11128]) ).
fof(f33831,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),possibly(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1943,f10589]) ).
fof(f33832,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),possibly(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1943,f4864]) ).
fof(f33833,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),possibly(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1943,f11304]) ).
fof(f33834,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),possibly(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1943,f4848]) ).
fof(f33835,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),possibly(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1943,f4751]) ).
fof(f33836,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(sK59_skl,X2))) ),
inference(resolution,[status(thm)],[f1943,f32612]) ).
fof(f33837,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(possibly(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1943,f4860]) ).
fof(f33838,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(possibly(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1943,f4822]) ).
fof(f33839,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(or(implies(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f1943,f3311]) ).
fof(f33840,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(or(equiv(X2,X2),X3),X4))) ),
inference(resolution,[status(thm)],[f1943,f4557]) ).
fof(f33841,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(or(X2,implies(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f1943,f3424]) ).
fof(f33842,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(or(X2,equiv(X3,X3)),X4))) ),
inference(resolution,[status(thm)],[f1943,f4563]) ).
fof(f33843,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(or(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f1943,f3186]) ).
fof(f33844,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(necessarily(implies(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1943,f3177]) ).
fof(f33845,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(necessarily(equiv(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1943,f3302]) ).
fof(f33846,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(equiv(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1943,f3293]) ).
fof(f33847,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(implies(and(X2,X3),X3),X4))) ),
inference(resolution,[status(thm)],[f1943,f1176]) ).
fof(f33848,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(implies(and(X2,X3),X2),X4))) ),
inference(resolution,[status(thm)],[f1943,f1175]) ).
fof(f33849,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(implies(necessarily(X2),X2),X3))) ),
inference(resolution,[status(thm)],[f1943,f1179]) ).
fof(f33850,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(implies(X2,and(X2,X2)),X3))) ),
inference(resolution,[status(thm)],[f1943,f3017]) ).
fof(f33851,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(implies(X2,or(X2,X3)),X4))) ),
inference(resolution,[status(thm)],[f1943,f1183]) ).
fof(f33852,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(implies(X2,or(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1943,f1182]) ).
fof(f33853,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(implies(X2,implies(X3,X2)),X4))) ),
inference(resolution,[status(thm)],[f1943,f1181]) ).
fof(f33854,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(implies(X2,X2),X3))) ),
inference(resolution,[status(thm)],[f1943,f3030]) ).
fof(f33855,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f1943,f32611]) ).
fof(f33856,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1943,f3178]) ).
fof(f33857,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1943,f3303]) ).
fof(f33858,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,necessarily(possibly(not(X2)))))) ),
inference(resolution,[status(thm)],[f1943,f1154]) ).
fof(f33859,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1943,f4859]) ).
fof(f33860,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1943,f4821]) ).
fof(f33861,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ98_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f1943,f1144]) ).
fof(f33862,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1943,f1166]) ).
fof(f33863,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f1943,f3187]) ).
fof(f33864,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1943,f3294]) ).
fof(f33865,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1943,f1345]) ).
fof(f33866,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1943,f1344]) ).
fof(f33867,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1943,f1348]) ).
fof(f33868,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1943,f1356]) ).
fof(f33869,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1943,f1355]) ).
fof(f33870,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1943,f1354]) ).
fof(f33871,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,implies(X3,and(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1943,f1211]) ).
fof(f33872,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,implies(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f1943,f1150]) ).
fof(f33873,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1943,f3031]) ).
fof(f33874,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X2,not(X2)))) ),
inference(resolution,[status(thm)],[f1943,f3034]) ).
fof(f33875,plain,
! [X0,X1] :
( ~ sQ180_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f1943,f1852]) ).
fof(f33876,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(sK59_skl))) ),
inference(resolution,[status(thm)],[f1943,f1856]) ).
fof(f33877,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1943,f4559]) ).
fof(f33878,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1943,f3314]) ).
fof(f33879,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1943,f4565]) ).
fof(f33880,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1943,f3427]) ).
fof(f33881,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1943,f3181]) ).
fof(f33882,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1943,f32608]) ).
fof(f33883,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(possibly(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1943,f4857]) ).
fof(f33884,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(possibly(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1943,f4819]) ).
fof(f33885,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(possibly(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f1943,f3185]) ).
fof(f33886,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(possibly(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1943,f3176]) ).
fof(f33887,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(possibly(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1943,f3301]) ).
fof(f33888,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(possibly(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1943,f1967]) ).
fof(f33889,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(possibly(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1943,f3029]) ).
fof(f33890,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(possibly(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1943,f3292]) ).
fof(f33891,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1943,f32551]) ).
fof(f33892,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(necessarily(or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f1943,f4750]) ).
fof(f33893,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(necessarily(necessarily(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1943,f4748]) ).
fof(f33894,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(necessarily(necessarily(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1943,f4740]) ).
fof(f33895,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(necessarily(possibly(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1943,f4854]) ).
fof(f33896,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(necessarily(possibly(equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1943,f4757]) ).
fof(f33897,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(necessarily(implies(necessarily(X2),X2))))) ),
inference(resolution,[status(thm)],[f1943,f2009]) ).
fof(f33898,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(necessarily(implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1943,f3180]) ).
fof(f33899,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(necessarily(equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f1943,f3305]) ).
fof(f33900,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1943,f1230]) ).
fof(f33901,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(equiv(X2,X3),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1943,f1201]) ).
fof(f33902,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(equiv(X2,X3),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1943,f1168]) ).
fof(f33903,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(implies(X2,implies(X2,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1943,f1216]) ).
fof(f33904,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3)))))) ),
inference(resolution,[status(thm)],[f1943,f1205]) ).
fof(f33905,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ89_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f1943,f1283]) ).
fof(f33906,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1943,f1161]) ).
fof(f33907,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f1943,f1171]) ).
fof(f33908,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(and(X2,X3),X3)))) ),
inference(resolution,[status(thm)],[f1943,f1146]) ).
fof(f33909,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3)))))) ),
inference(resolution,[status(thm)],[f1943,f1158]) ).
fof(f33910,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(necessarily(X2),necessarily(necessarily(X2)))))) ),
inference(resolution,[status(thm)],[f1943,f1156]) ).
fof(f33911,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(necessarily(X2),X2)))) ),
inference(resolution,[status(thm)],[f1943,f1132]) ).
fof(f33912,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(X2,necessarily(possibly(X2)))))) ),
inference(resolution,[status(thm)],[f1943,f1153]) ).
fof(f33913,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1943,f4574]) ).
fof(f33914,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(X2,implies(X3,and(X2,X3)))))) ),
inference(resolution,[status(thm)],[f1943,f1210]) ).
fof(f33915,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1943,f3443]) ).
fof(f33916,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f1943,f1149]) ).
fof(f33917,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f1943,f1165]) ).
fof(f33918,plain,
! [X0,X1,X2,X3] :
( ~ sQ89_spl
| ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1943,f1143]) ).
fof(f33919,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f1943,f3020]) ).
fof(f33920,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1943,f3033]) ).
fof(f33921,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),necessarily(equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1943,f3296]) ).
fof(f33922,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),equiv(X2,X2))) ),
inference(resolution,[status(thm)],[f1943,f3285]) ).
fof(f33923,plain,
! [X0,X1,X2,X3] :
( ~ sQ164_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(or(X2,possibly(X3)),implies(necessarily(not(X3)),X2)))) ),
inference(resolution,[status(thm)],[f1943,f1232]) ).
fof(f33924,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(or(X2,implies(X3,X4)),implies(and(X3,not(X4)),X2)))) ),
inference(resolution,[status(thm)],[f1943,f1231]) ).
fof(f33925,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(or(X2,or(X2,X3)),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1943,f1221]) ).
fof(f33926,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(or(X2,not(not(X3))),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1943,f1233]) ).
fof(f33927,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1943,f1044]) ).
fof(f33928,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(or(X2,X3),implies(implies(X3,not(X2)),equiv(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f1943,f1162]) ).
fof(f33929,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(or(X2,X3),implies(implies(X3,X4),or(X2,X4))))) ),
inference(resolution,[status(thm)],[f1943,f1287]) ).
fof(f33930,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(or(X2,X3),implies(implies(X4,X3),implies(or(not(X2),X4),X3))))) ),
inference(resolution,[status(thm)],[f1943,f1206]) ).
fof(f33931,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(equiv(not(X2),X3),or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1943,f1202]) ).
fof(f33932,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(equiv(X2,not(X3)),or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1943,f1169]) ).
fof(f33933,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(equiv(X2,X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1943,f486]) ).
fof(f33934,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(equiv(X2,X3),implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1943,f497]) ).
fof(f33935,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(implies(X2,not(X3)),implies(or(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1943,f1285]) ).
fof(f33936,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(implies(X2,not(X3)),implies(or(X3,X2),equiv(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1943,f1163]) ).
fof(f33937,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(implies(X2,implies(X2,X3)),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f1943,f398]) ).
fof(f33938,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(implies(X2,X3),implies(or(X4,X3),implies(or(X2,not(X4)),X3))))) ),
inference(resolution,[status(thm)],[f1943,f1207]) ).
fof(f33939,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(implies(X2,X3),implies(implies(X4,X3),implies(or(X2,X4),X3))))) ),
inference(resolution,[status(thm)],[f1943,f475]) ).
fof(f33940,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f1943,f409]) ).
fof(f33941,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(implies(X2,X3),implies(implies(X3,X2),equiv(X2,X3))))) ),
inference(resolution,[status(thm)],[f1943,f508]) ).
fof(f33942,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(and(X2,not(X2)),X3))) ),
inference(resolution,[status(thm)],[f1943,f12152]) ).
fof(f33943,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(and(X2,X3),X2))) ),
inference(resolution,[status(thm)],[f1943,f420]) ).
fof(f33944,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(and(X2,X3),X3))) ),
inference(resolution,[status(thm)],[f1943,f431]) ).
fof(f33945,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(necessarily(or(X2,X3)),implies(necessarily(not(X2)),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1943,f1159]) ).
fof(f33946,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(necessarily(implies(X2,X3)),implies(necessarily(X2),necessarily(X3))))) ),
inference(resolution,[status(thm)],[f1943,f734]) ).
fof(f33947,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(necessarily(X2),necessarily(necessarily(X2))))) ),
inference(resolution,[status(thm)],[f1943,f756]) ).
fof(f33948,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(necessarily(X2),X2))) ),
inference(resolution,[status(thm)],[f1943,f745]) ).
fof(f33949,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,sK59_skl))) ),
inference(resolution,[status(thm)],[f1943,f32610]) ).
fof(f33950,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,possibly(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1943,f4858]) ).
fof(f33951,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,possibly(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1943,f4820]) ).
fof(f33952,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1943,f3295]) ).
fof(f33953,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,necessarily(implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1943,f3179]) ).
fof(f33954,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,necessarily(equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f1943,f3304]) ).
fof(f33955,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,necessarily(possibly(X2))))) ),
inference(resolution,[status(thm)],[f1943,f767]) ).
fof(f33956,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,implies(and(X3,X4),X4)))) ),
inference(resolution,[status(thm)],[f1943,f1245]) ).
fof(f33957,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,implies(and(X3,X4),X3)))) ),
inference(resolution,[status(thm)],[f1943,f1244]) ).
fof(f33958,plain,
! [X0,X1,X2,X3] :
( ~ sQ110_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,implies(necessarily(X3),X3)))) ),
inference(resolution,[status(thm)],[f1943,f1248]) ).
fof(f33959,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f1943,f1253]) ).
fof(f33960,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1943,f1252]) ).
fof(f33961,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,implies(X3,implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1943,f1251]) ).
fof(f33962,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,implies(X3,and(X2,X3))))) ),
inference(resolution,[status(thm)],[f1943,f442]) ).
fof(f33963,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1943,f3032]) ).
fof(f33964,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f1943,f387]) ).
fof(f33965,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,or(X3,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f1943,f1212]) ).
fof(f33966,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f1943,f3188]) ).
fof(f33967,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,or(X3,X2)))) ),
inference(resolution,[status(thm)],[f1943,f464]) ).
fof(f33968,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f1943,f453]) ).
fof(f33969,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,and(X2,X2)))) ),
inference(resolution,[status(thm)],[f1943,f519]) ).
fof(f33970,plain,
! [X0,X1,X2] :
( ~ sQ191_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,X2))) ),
inference(resolution,[status(thm)],[f1943,f3447]) ).
fof(f33973,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1943]) ).
fof(f33974,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1905]) ).
fof(f33975,plain,
! [X0,X1,X2,X3] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1924]) ).
fof(f33976,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),and(or(X1,or(X2,not(X1))),or(X1,or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3233,f20882]) ).
fof(f33977,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,X0),and(or(X1,or(X2,not(X1))),or(X1,or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3233,f3028]) ).
fof(f33978,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(and(equiv(X0,X0),and(or(X1,or(X2,not(X1))),or(X1,or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3233,f3290]) ).
fof(f33979,plain,
! [X0,X1,X2,X3] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1881]) ).
fof(f33980,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1882]) ).
fof(f33981,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1884]) ).
fof(f33982,plain,
! [X0,X1,X2,X3] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1883]) ).
fof(f33983,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),and(or(X1,or(X2,not(X1))),or(X1,or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3233,f1885]) ).
fof(f33984,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),and(or(X1,or(X2,not(X1))),or(X1,or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3233,f3015]) ).
fof(f33985,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),X0),and(or(X1,or(X2,not(X1))),or(X1,or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3233,f1871]) ).
fof(f33986,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),and(or(X1,or(X2,not(X1))),or(X1,or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3233,f1870]) ).
fof(f33987,plain,
! [X0,X1,X2,X3] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1869]) ).
fof(f33988,plain,
! [X0,X1,X2,X3] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1872]) ).
fof(f33989,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1873]) ).
fof(f33990,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1875]) ).
fof(f33991,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),and(or(X3,or(X4,not(X3))),or(X3,or(X4,not(X3)))))) ),
inference(resolution,[status(thm)],[f3233,f1877]) ).
fof(f33992,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),and(or(X3,or(X4,not(X3))),or(X3,or(X4,not(X3)))))) ),
inference(resolution,[status(thm)],[f3233,f1876]) ).
fof(f33993,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1874]) ).
fof(f33994,plain,
! [X0,X1,X2,X3] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1878]) ).
fof(f33995,plain,
! [X0,X1,X2,X3] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1879]) ).
fof(f33996,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),and(or(X2,or(X3,not(X2))),or(X2,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f3233,f1880]) ).
fof(f33997,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(and(or(X1,or(X2,not(X1))),or(X1,or(X2,not(X1)))),X0))) ),
inference(resolution,[status(thm)],[f3233,f1208]) ).
fof(f33998,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(and(or(X0,or(X1,not(X0))),or(X0,or(X1,not(X0))))))) ),
inference(resolution,[status(thm)],[f3233,f1152]) ).
fof(f33999,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(and(and(or(X0,or(X1,not(X0))),or(X0,or(X1,not(X0)))),and(or(X0,or(X1,not(X0))),or(X0,or(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f3233,f3013]) ).
fof(f34000,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(or(X1,or(X2,not(X1))),or(X1,or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3233,f1148]) ).
fof(f34001,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(or(X1,or(X2,not(X1))),or(X1,or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f3233,f1164]) ).
fof(f34002,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,or(X1,not(X0))),or(X0,or(X1,not(X0)))),X2)) ),
inference(resolution,[status(thm)],[f3233,f1142]) ).
fof(f34003,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(and(or(X0,or(X1,not(X0))),or(X0,or(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f3233,f666]) ).
fof(f34004,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(and(or(X1,or(X2,not(X1))),or(X1,or(X2,not(X1)))),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3233,f700]) ).
fof(f34009,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(possibly(X0)),or(X1,possibly(necessarily(not(X0))))),or(necessarily(possibly(X0)),or(X1,not(necessarily(possibly(X0))))))) ),
inference(paramodulation,[status(thm)],[f1114,f3233]) ).
fof(f34010,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(implies(X0,X1)),or(X2,possibly(and(X0,not(X1))))),or(necessarily(implies(X0,X1)),or(X2,not(necessarily(implies(X0,X1))))))) ),
inference(paramodulation,[status(thm)],[f1117,f3233]) ).
fof(f34012,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,implies(X1,X2)),or(X3,implies(X0,and(X1,not(X2))))),or(and(X0,implies(X1,X2)),or(X3,not(and(X0,implies(X1,X2))))))) ),
inference(paramodulation,[status(thm)],[f1115,f3233]) ).
fof(f34013,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,possibly(X1)),or(X2,implies(X0,necessarily(not(X1))))),or(and(X0,possibly(X1)),or(X2,not(and(X0,possibly(X1))))))) ),
inference(paramodulation,[status(thm)],[f1116,f3233]) ).
fof(f34017,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(and(X1,not(X2)),not(X0))),or(X0,implies(implies(X1,X2),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1118,f3233]) ).
fof(f34018,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(necessarily(not(X1)),not(X0))),or(X0,implies(possibly(X1),not(X0))))) ),
inference(paramodulation,[status(thm)],[f1119,f3233]) ).
fof(f34033,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(possibly(X0)),or(X1,possibly(necessarily(not(X0))))),or(necessarily(possibly(X0)),or(X1,possibly(necessarily(not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f34009]) ).
fof(f34034,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(implies(X0,X1)),or(X2,possibly(and(X0,not(X1))))),or(necessarily(implies(X0,X1)),or(X2,possibly(and(X0,not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f34010]) ).
fof(f34038,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,implies(X1,X2)),or(X3,implies(X0,and(X1,not(X2))))),or(and(X0,implies(X1,X2)),or(X3,implies(X0,and(X1,not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f34012]) ).
fof(f34039,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,possibly(X1)),or(X2,implies(X0,necessarily(not(X1))))),or(and(X0,possibly(X1)),or(X2,implies(X0,necessarily(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f34013]) ).
fof(f34049,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(implies(X1,X2),not(X0))),or(X0,implies(implies(X1,X2),not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1118,f34017]) ).
fof(f34050,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(possibly(X1),not(X0))),or(X0,implies(possibly(X1),not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f1119,f34018]) ).
fof(f34062,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(implies(sK58_skl,X0),equiv(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1160]) ).
fof(f34063,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(implies(sK58_skl,X0),implies(X1,X0))) ),
inference(resolution,[status(thm)],[f33731,f1280]) ).
fof(f34065,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(sK58_skl)
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f33731,f342]) ).
fof(f34066,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1943]) ).
fof(f34067,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1905]) ).
fof(f34068,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1924]) ).
fof(f34069,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f20882]) ).
fof(f34070,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,X0),implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f3028]) ).
fof(f34071,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(equiv(X0,X0),implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f3290]) ).
fof(f34072,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1881]) ).
fof(f34073,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1882]) ).
fof(f34074,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1884]) ).
fof(f34075,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1883]) ).
fof(f34076,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,necessarily(possibly(X0))),implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1885]) ).
fof(f34077,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f3015]) ).
fof(f34078,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(necessarily(X0),X0),implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1871]) ).
fof(f34079,plain,
! [X0,X1] :
( ~ sQ113_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(necessarily(X0),necessarily(necessarily(X0))),implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1870]) ).
fof(f34080,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1869]) ).
fof(f34081,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1872]) ).
fof(f34082,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1873]) ).
fof(f34083,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1875]) ).
fof(f34084,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X3,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1877]) ).
fof(f34085,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(X3,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1876]) ).
fof(f34086,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1874]) ).
fof(f34087,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1878]) ).
fof(f34088,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1879]) ).
fof(f34089,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(X2,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1880]) ).
fof(f34090,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,and(implies(X1,sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f33731,f1208]) ).
fof(f34091,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(possibly(implies(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f33731,f1152]) ).
fof(f34092,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,sK58_skl),implies(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f3013]) ).
fof(f34093,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1148]) ).
fof(f34094,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,implies(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f1164]) ).
fof(f34095,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(implies(X0,sK58_skl),X1)) ),
inference(resolution,[status(thm)],[f33731,f1142]) ).
fof(f34096,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(implies(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f33731,f666]) ).
fof(f34097,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X1,sK58_skl),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f33731,f700]) ).
fof(f34098,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(paramodulation,[status(thm)],[f1047,f33731]) ).
fof(f34099,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| sQ99_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f34065,f1270,f703,f1851,f744,f386,f341]) ).
fof(f34115,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(sK58_skl)
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f33732,f1122]) ).
fof(f34116,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(implies(X0,sK58_skl),implies(or(not(X1),X0),sK58_skl))) ),
inference(resolution,[status(thm)],[f33732,f2544]) ).
fof(f34117,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(implies(sK58_skl,X0),or(X1,X0))) ),
inference(resolution,[status(thm)],[f33732,f2485]) ).
fof(f34118,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(implies(sK58_skl,not(X0)),equiv(not(X0),sK58_skl))) ),
inference(resolution,[status(thm)],[f33732,f2432]) ).
fof(f34119,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,and(or(X1,sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f33732,f1208]) ).
fof(f34120,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(possibly(or(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f33732,f1152]) ).
fof(f34121,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(or(X0,sK58_skl),or(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f33732,f3013]) ).
fof(f34122,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,or(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f33732,f1148]) ).
fof(f34123,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,or(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f33732,f1164]) ).
fof(f34124,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(or(X0,sK58_skl),X1)) ),
inference(resolution,[status(thm)],[f33732,f1142]) ).
fof(f34125,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(or(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f33732,f666]) ).
fof(f34126,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(implies(X0,X1),sK58_skl)) ),
inference(paramodulation,[status(thm)],[f1118,f33732]) ).
fof(f34127,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(possibly(X0),sK58_skl)) ),
inference(paramodulation,[status(thm)],[f1119,f33732]) ).
fof(f34128,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| sQ99_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f34115,f1471,f703,f1851,f744,f463,f341,f644,f630]) ).
fof(f34131,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(and(or(X1,necessarily(possibly(not(X1)))),or(X1,necessarily(possibly(not(X1))))),X0))) ),
inference(resolution,[status(thm)],[f3242,f1208]) ).
fof(f34132,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(possibly(and(or(X0,necessarily(possibly(not(X0)))),or(X0,necessarily(possibly(not(X0)))))))) ),
inference(resolution,[status(thm)],[f3242,f1152]) ).
fof(f34133,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| is_a_theorem(and(and(or(X0,necessarily(possibly(not(X0)))),or(X0,necessarily(possibly(not(X0))))),and(or(X0,necessarily(possibly(not(X0)))),or(X0,necessarily(possibly(not(X0))))))) ),
inference(resolution,[status(thm)],[f3242,f3013]) ).
fof(f34134,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(or(X1,necessarily(possibly(not(X1)))),or(X1,necessarily(possibly(not(X1))))))) ),
inference(resolution,[status(thm)],[f3242,f1148]) ).
fof(f34135,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(or(X1,necessarily(possibly(not(X1)))),or(X1,necessarily(possibly(not(X1))))))) ),
inference(resolution,[status(thm)],[f3242,f1164]) ).
fof(f34136,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,necessarily(possibly(not(X0)))),or(X0,necessarily(possibly(not(X0))))),X1)) ),
inference(resolution,[status(thm)],[f3242,f1142]) ).
fof(f34137,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(necessarily(and(or(X0,necessarily(possibly(not(X0)))),or(X0,necessarily(possibly(not(X0))))))) ),
inference(resolution,[status(thm)],[f3242,f666]) ).
fof(f34140,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(possibly(X0)),necessarily(possibly(possibly(necessarily(not(X0)))))),or(necessarily(possibly(X0)),necessarily(possibly(not(necessarily(possibly(X0)))))))) ),
inference(paramodulation,[status(thm)],[f1114,f3242]) ).
fof(f34141,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(implies(X0,X1)),necessarily(possibly(possibly(and(X0,not(X1)))))),or(necessarily(implies(X0,X1)),necessarily(possibly(not(necessarily(implies(X0,X1)))))))) ),
inference(paramodulation,[status(thm)],[f1117,f3242]) ).
fof(f34143,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,implies(X1,X2)),necessarily(possibly(implies(X0,and(X1,not(X2)))))),or(and(X0,implies(X1,X2)),necessarily(possibly(not(and(X0,implies(X1,X2)))))))) ),
inference(paramodulation,[status(thm)],[f1115,f3242]) ).
fof(f34144,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,possibly(X1)),necessarily(possibly(implies(X0,necessarily(not(X1)))))),or(and(X0,possibly(X1)),necessarily(possibly(not(and(X0,possibly(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1116,f3242]) ).
fof(f34160,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(possibly(X0)),necessarily(possibly(possibly(necessarily(not(X0)))))),or(necessarily(possibly(X0)),necessarily(possibly(possibly(necessarily(not(X0)))))))) ),
inference(forward_demodulation,[status(thm)],[f1114,f34140]) ).
fof(f34161,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(necessarily(implies(X0,X1)),necessarily(possibly(possibly(and(X0,not(X1)))))),or(necessarily(implies(X0,X1)),necessarily(possibly(possibly(and(X0,not(X1)))))))) ),
inference(forward_demodulation,[status(thm)],[f1117,f34141]) ).
fof(f34165,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,implies(X1,X2)),necessarily(possibly(implies(X0,and(X1,not(X2)))))),or(and(X0,implies(X1,X2)),necessarily(possibly(implies(X0,and(X1,not(X2)))))))) ),
inference(forward_demodulation,[status(thm)],[f1115,f34143]) ).
fof(f34166,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ116_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(and(X0,possibly(X1)),necessarily(possibly(implies(X0,necessarily(not(X1)))))),or(and(X0,possibly(X1)),necessarily(possibly(implies(X0,necessarily(not(X1)))))))) ),
inference(forward_demodulation,[status(thm)],[f1116,f34144]) ).
fof(f34186,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ164_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(necessarily(implies(X0,X1)),sK58_skl)) ),
inference(resolution,[status(thm)],[f33733,f2989]) ).
fof(f34187,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(and(X0,possibly(X1)),sK58_skl)) ),
inference(resolution,[status(thm)],[f33733,f2986]) ).
fof(f34188,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),sK58_skl)) ),
inference(resolution,[status(thm)],[f33733,f2987]) ).
fof(f34189,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(and(X0,not(X1)),sK58_skl)) ),
inference(resolution,[status(thm)],[f33733,f2391]) ).
fof(f34190,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f33733,f1228]) ).
fof(f34191,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(sK58_skl)) ),
inference(resolution,[status(thm)],[f33733,f1122]) ).
fof(f34192,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(sK58_skl),X0),X1))) ),
inference(resolution,[status(thm)],[f33733,f2544]) ).
fof(f34193,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(implies(X0,X1),or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f33733,f2485]) ).
fof(f34194,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(implies(X0,not(sK58_skl)),equiv(not(sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f33733,f2432]) ).
fof(f34195,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,and(or(sK58_skl,X1),X0))) ),
inference(resolution,[status(thm)],[f33733,f1208]) ).
fof(f34196,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(possibly(or(sK58_skl,X0)))) ),
inference(resolution,[status(thm)],[f33733,f1152]) ).
fof(f34197,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(or(sK58_skl,X0),or(sK58_skl,X0))) ),
inference(resolution,[status(thm)],[f33733,f3013]) ).
fof(f34198,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f33733,f1148]) ).
fof(f34199,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f33733,f1164]) ).
fof(f34200,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(or(sK58_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f33733,f1142]) ).
fof(f34201,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(or(sK58_skl,X0))) ),
inference(resolution,[status(thm)],[f33733,f666]) ).
fof(f34202,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| sQ173_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f34191,f1456,f1459,f1851,f744,f452,f341,f644,f630]) ).
fof(f34203,plain,
( sQ101_spl
| ~ sQ173_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f713,f1460]) ).
fof(f34204,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ sQ173_spl
| X0 = X1 ),
inference(backward_subsumption_resolution,[status(thm)],[f361,f1460]) ).
fof(f34205,plain,
! [X0,X1] :
( ~ sQ103_spl
| ~ sQ173_spl
| X0 = X1 ),
inference(backward_subsumption_resolution,[status(thm)],[f719,f1460]) ).
fof(f34206,plain,
( sQ96_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1502]) ).
fof(f34255,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)],[f1121,f420]) ).
fof(f34256,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)],[f1120,f420]) ).
fof(f34257,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f659,f420]) ).
fof(f34260,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)],[f1121,f431]) ).
fof(f34261,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)],[f1120,f431]) ).
fof(f34262,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f659,f431]) ).
fof(f34266,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ113_spl
| is_a_theorem(necessarily(necessarily(X0)))
| ~ is_a_theorem(necessarily(X0)) ),
inference(resolution,[status(thm)],[f756,f342]) ).
fof(f34277,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)],[f1121,f442]) ).
fof(f34278,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)],[f1120,f442]) ).
fof(f34279,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)],[f659,f442]) ).
fof(f34283,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1047,f387]) ).
fof(f34287,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f1118,f464]) ).
fof(f34288,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(possibly(X1),X0))) ),
inference(paramodulation,[status(thm)],[f1119,f464]) ).
fof(f34297,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f659,f519]) ).
fof(f34307,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ191_spl
| is_a_theorem(necessarily(implies(X0,X0))) ),
inference(resolution,[status(thm)],[f3447,f666]) ).
fof(f34308,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(paramodulation,[status(thm)],[f1047,f3447]) ).
fof(f34309,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(or(sK58_skl,X0))) ),
inference(resolution,[status(thm)],[f33733,f666]) ).
fof(f34310,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(or(sK59_skl,X0))) ),
inference(resolution,[status(thm)],[f32612,f666]) ).
fof(f34311,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(or(X0,sK58_skl))) ),
inference(resolution,[status(thm)],[f33732,f666]) ).
fof(f34312,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(implies(X0,X1),sK58_skl)) ),
inference(paramodulation,[status(thm)],[f1118,f33732]) ).
fof(f34313,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(possibly(X0),sK58_skl)) ),
inference(paramodulation,[status(thm)],[f1119,f33732]) ).
fof(f34314,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(or(X0,sK59_skl))) ),
inference(resolution,[status(thm)],[f32611,f666]) ).
fof(f34315,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(X0,X1),sK59_skl)) ),
inference(paramodulation,[status(thm)],[f1118,f32611]) ).
fof(f34316,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(possibly(X0),sK59_skl)) ),
inference(paramodulation,[status(thm)],[f1119,f32611]) ).
fof(f34319,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(paramodulation,[status(thm)],[f1047,f33731]) ).
fof(f34323,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,sK59_skl)) ),
inference(paramodulation,[status(thm)],[f1047,f32610]) ).
fof(f34356,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f1160,f3447]) ).
fof(f34378,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(X1,X0),X1))) ),
inference(resolution,[status(thm)],[f1203,f3447]) ).
fof(f34407,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),not(and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1118,f3034]) ).
fof(f34408,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),not(necessarily(not(X0))))) ),
inference(paramodulation,[status(thm)],[f1119,f3034]) ).
fof(f34411,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(not(X0)),possibly(X0))) ),
inference(paramodulation,[status(thm)],[f943,f3034]) ).
fof(f34414,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,not(X1)),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f645,f3034]) ).
fof(f34415,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f645,f34407]) ).
fof(f34416,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),possibly(X0))) ),
inference(forward_demodulation,[status(thm)],[f943,f34408]) ).
fof(f34417,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),possibly(X0))) ),
inference(forward_demodulation,[status(thm)],[f1119,f34411]) ).
fof(f34418,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f1118,f34414]) ).
fof(f34422,plain,
( ~ sQ89_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32551,f666]) ).
fof(f34461,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,X1),X0))) ),
inference(resolution,[status(thm)],[f1208,f3447]) ).
fof(f34462,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f508]) ).
fof(f34464,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f409]) ).
fof(f34465,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(X0,X0))) ),
inference(resolution,[status(thm)],[f1214,f442]) ).
fof(f34466,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1214,f387]) ).
fof(f34473,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1199,f3285]) ).
fof(f34474,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ107_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(necessarily(X0),necessarily(X0))) ),
inference(resolution,[status(thm)],[f3033,f1157]) ).
fof(f34475,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f3033,f1131]) ).
fof(f34479,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ43_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1167,f3285]) ).
fof(f34483,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,and(and(sK58_skl,sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f33730,f1208]) ).
fof(f34484,plain,
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(and(sK58_skl,sK58_skl))) ),
inference(resolution,[status(thm)],[f33730,f666]) ).
fof(f34486,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,and(necessarily(necessarily(sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f33703,f1208]) ).
fof(f34487,plain,
( ~ sQ89_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f33703,f666]) ).
fof(f34488,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ180_spl
| is_a_theorem(possibly(sK58_skl)) ),
inference(resolution,[status(thm)],[f33729,f1131]) ).
fof(f34489,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,and(necessarily(possibly(sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f33729,f1208]) ).
fof(f34490,plain,
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(necessarily(possibly(sK58_skl)))) ),
inference(resolution,[status(thm)],[f33729,f666]) ).
fof(f34491,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,sK59_skl)) ),
inference(resolution,[status(thm)],[f1228,f32612]) ).
fof(f34492,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f1228,f33733]) ).
fof(f34493,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ10_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1228,f3034]) ).
fof(f34503,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ180_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,and(sK58_skl,sK58_skl))) ),
inference(resolution,[status(thm)],[f1148,f33730]) ).
fof(f34505,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f1148,f32612]) ).
fof(f34506,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f1148,f33733]) ).
fof(f34508,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f1148,f32611]) ).
fof(f34509,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1148,f33732]) ).
fof(f34513,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ180_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1148,f33703]) ).
fof(f34514,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ181_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1148,f32551]) ).
fof(f34515,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ180_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,necessarily(possibly(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1148,f33729]) ).
fof(f34544,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f1148,f3447]) ).
fof(f34546,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ180_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,and(sK58_skl,sK58_skl))) ),
inference(resolution,[status(thm)],[f1164,f33730]) ).
fof(f34548,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(sK59_skl,X1))) ),
inference(resolution,[status(thm)],[f1164,f32612]) ).
fof(f34549,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(sK58_skl,X1))) ),
inference(resolution,[status(thm)],[f1164,f33733]) ).
fof(f34551,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,or(X1,sK59_skl))) ),
inference(resolution,[status(thm)],[f1164,f32611]) ).
fof(f34552,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,or(X1,sK58_skl))) ),
inference(resolution,[status(thm)],[f1164,f33732]) ).
fof(f34556,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ180_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1164,f33703]) ).
fof(f34557,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ181_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,necessarily(necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f1164,f32551]) ).
fof(f34558,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ180_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,necessarily(possibly(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1164,f33729]) ).
fof(f34587,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f1164,f3447]) ).
fof(f34589,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ180_spl
| ~ sQ31_spl
| is_a_theorem(or(and(sK58_skl,sK58_skl),X0)) ),
inference(resolution,[status(thm)],[f1142,f33730]) ).
fof(f34591,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(or(sK59_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f1142,f32612]) ).
fof(f34592,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(or(sK58_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f1142,f33733]) ).
fof(f34594,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ181_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,sK59_skl),X1)) ),
inference(resolution,[status(thm)],[f1142,f32611]) ).
fof(f34595,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ180_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,sK58_skl),X1)) ),
inference(resolution,[status(thm)],[f1142,f33732]) ).
fof(f34599,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ180_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(necessarily(necessarily(sK58_skl)),X0)) ),
inference(resolution,[status(thm)],[f1142,f33703]) ).
fof(f34600,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ181_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(necessarily(necessarily(sK59_skl)),X0)) ),
inference(resolution,[status(thm)],[f1142,f32551]) ).
fof(f34601,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ180_spl
| ~ sQ31_spl
| is_a_theorem(or(necessarily(possibly(sK58_skl)),X0)) ),
inference(resolution,[status(thm)],[f1142,f33729]) ).
fof(f34630,plain,
! [X0,X1] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f1142,f3447]) ).
fof(f34631,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ180_spl
| is_a_theorem(or(possibly(sK58_skl),X0)) ),
inference(resolution,[status(thm)],[f34488,f1142]) ).
fof(f34632,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,possibly(sK58_skl))) ),
inference(resolution,[status(thm)],[f34488,f1164]) ).
fof(f34633,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,possibly(sK58_skl))) ),
inference(resolution,[status(thm)],[f34488,f1148]) ).
fof(f34634,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,and(possibly(sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f34488,f1208]) ).
fof(f34637,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ180_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(and(sK58_skl,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1152,f33730]) ).
fof(f34647,plain,
( ~ sQ89_spl
| ~ sQ180_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(necessarily(necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1152,f33703]) ).
fof(f34649,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(possibly(necessarily(possibly(sK58_skl))))) ),
inference(resolution,[status(thm)],[f1152,f33729]) ).
fof(f34653,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(possibly(possibly(sK58_skl)))) ),
inference(resolution,[status(thm)],[f1152,f34488]) ).
fof(f34679,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ116_spl
| is_a_theorem(necessarily(possibly(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f1152,f3447]) ).
fof(f34681,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(and(sK58_skl,sK58_skl),and(sK58_skl,sK58_skl))) ),
inference(resolution,[status(thm)],[f3013,f33730]) ).
fof(f34685,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f3013,f3034]) ).
fof(f34691,plain,
( ~ sQ89_spl
| ~ sQ180_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(necessarily(sK58_skl)),necessarily(necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f3013,f33703]) ).
fof(f34693,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ110_spl
| ~ sQ180_spl
| ~ sQ49_spl
| is_a_theorem(and(necessarily(possibly(sK58_skl)),necessarily(possibly(sK58_skl)))) ),
inference(resolution,[status(thm)],[f3013,f33729]) ).
fof(f34697,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ180_spl
| ~ sQ49_spl
| is_a_theorem(and(possibly(sK58_skl),possibly(sK58_skl))) ),
inference(resolution,[status(thm)],[f3013,f34488]) ).
fof(f34723,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f3013,f3447]) ).
fof(f34725,plain,
! [X0] :
( ~ sQ191_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(forward_demodulation,[status(thm)],[f659,f34723]) ).
fof(f34729,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(X1)))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f1120,f1170]) ).
fof(f34730,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1170]) ).
fof(f34733,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f1121,f1145]) ).
fof(f34735,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1145]) ).
fof(f34809,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)],[f1118,f1166]) ).
fof(f34810,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)],[f1119,f1166]) ).
fof(f34888,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3295]) ).
fof(f34890,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f3032,f1214]) ).
fof(f34902,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3032]) ).
fof(f34915,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f1150]) ).
fof(f34964,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ180_spl
| is_a_theorem(implies(implies(necessarily(sK58_skl),X0),implies(X1,X0))) ),
inference(resolution,[status(thm)],[f33700,f1280]) ).
fof(f34966,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ180_spl
| is_a_theorem(implies(implies(necessarily(sK58_skl),X0),equiv(X0,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f33700,f1160]) ).
fof(f34968,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ180_spl
| is_a_theorem(and(implies(X0,necessarily(sK58_skl)),implies(X0,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f33700,f3013]) ).
fof(f34969,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(possibly(implies(X0,necessarily(sK58_skl))))) ),
inference(resolution,[status(thm)],[f33700,f1152]) ).
fof(f34970,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ180_spl
| is_a_theorem(or(implies(X0,necessarily(sK58_skl)),X1)) ),
inference(resolution,[status(thm)],[f33700,f1142]) ).
fof(f34971,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,implies(X1,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f33700,f1164]) ).
fof(f34972,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f33700,f1148]) ).
fof(f34973,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,and(implies(X1,necessarily(sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f33700,f1208]) ).
fof(f34974,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(implies(X0,necessarily(sK58_skl)))) ),
inference(resolution,[status(thm)],[f33700,f666]) ).
fof(f34975,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,necessarily(sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f33700]) ).
fof(f34995,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(necessarily(sK59_skl),X0),implies(X1,X0))) ),
inference(resolution,[status(thm)],[f32548,f1280]) ).
fof(f34997,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(necessarily(sK59_skl),X0),equiv(X0,necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32548,f1160]) ).
fof(f34999,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,necessarily(sK59_skl)),implies(X0,necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32548,f3013]) ).
fof(f35000,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(possibly(implies(X0,necessarily(sK59_skl))))) ),
inference(resolution,[status(thm)],[f32548,f1152]) ).
fof(f35001,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ181_spl
| is_a_theorem(or(implies(X0,necessarily(sK59_skl)),X1)) ),
inference(resolution,[status(thm)],[f32548,f1142]) ).
fof(f35002,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,implies(X1,necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32548,f1164]) ).
fof(f35003,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,implies(X1,necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32548,f1148]) ).
fof(f35004,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,and(implies(X1,necessarily(sK59_skl)),X0))) ),
inference(resolution,[status(thm)],[f32548,f1208]) ).
fof(f35005,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(implies(X0,necessarily(sK59_skl)))) ),
inference(resolution,[status(thm)],[f32548,f666]) ).
fof(f35006,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,necessarily(sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f32548]) ).
fof(f35008,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(possibly(sK59_skl),X0),implies(X1,X0))) ),
inference(resolution,[status(thm)],[f33405,f1280]) ).
fof(f35010,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(implies(implies(possibly(sK59_skl),X0),equiv(X0,possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f33405,f1160]) ).
fof(f35011,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(possibly(sK59_skl))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f33405,f342]) ).
fof(f35012,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(implies(X0,possibly(sK59_skl)),implies(X0,possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f33405,f3013]) ).
fof(f35013,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(possibly(implies(X0,possibly(sK59_skl))))) ),
inference(resolution,[status(thm)],[f33405,f1152]) ).
fof(f35014,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(or(implies(X0,possibly(sK59_skl)),X1)) ),
inference(resolution,[status(thm)],[f33405,f1142]) ).
fof(f35015,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,implies(X1,possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f33405,f1164]) ).
fof(f35016,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,implies(X1,possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f33405,f1148]) ).
fof(f35017,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,and(implies(X1,possibly(sK59_skl)),X0))) ),
inference(resolution,[status(thm)],[f33405,f1208]) ).
fof(f35018,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(implies(X0,possibly(sK59_skl)))) ),
inference(resolution,[status(thm)],[f33405,f666]) ).
fof(f35019,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,possibly(sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f33405]) ).
fof(f35020,definition,
( sQ210_spl
<=> is_a_theorem(possibly(sK59_skl)) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f35021,plain,
( ~ sQ210_spl
| is_a_theorem(possibly(sK59_skl)) ),
inference(component_clause,[status(thm)],[f35020]) ).
fof(f35023,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| sQ210_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f35011,f1270,f35020,f1855,f766,f744,f386,f341]) ).
fof(f35026,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(and(necessarily(implies(X0,sK58_skl)),necessarily(implies(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f34096,f3013]) ).
fof(f35027,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(X0,sK58_skl))))) ),
inference(resolution,[status(thm)],[f34096,f1152]) ).
fof(f35028,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(necessarily(implies(X0,sK58_skl)),X1)) ),
inference(resolution,[status(thm)],[f34096,f1142]) ).
fof(f35029,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,necessarily(implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f34096,f1164]) ).
fof(f35030,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,sK58_skl)))) ),
inference(resolution,[status(thm)],[f34096,f1148]) ).
fof(f35031,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f34096,f1208]) ).
fof(f35032,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(necessarily(implies(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f34096,f666]) ).
fof(f35033,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(or(X0,sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f34096]) ).
fof(f35036,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(and(necessarily(implies(X0,sK59_skl)),necessarily(implies(X0,sK59_skl)))) ),
inference(resolution,[status(thm)],[f32649,f3013]) ).
fof(f35037,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(possibly(necessarily(implies(X0,sK59_skl))))) ),
inference(resolution,[status(thm)],[f32649,f1152]) ).
fof(f35038,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(necessarily(implies(X0,sK59_skl)),X1)) ),
inference(resolution,[status(thm)],[f32649,f1142]) ).
fof(f35039,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,necessarily(implies(X1,sK59_skl)))) ),
inference(resolution,[status(thm)],[f32649,f1164]) ).
fof(f35040,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,necessarily(implies(X1,sK59_skl)))) ),
inference(resolution,[status(thm)],[f32649,f1148]) ).
fof(f35041,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,and(necessarily(implies(X1,sK59_skl)),X0))) ),
inference(resolution,[status(thm)],[f32649,f1208]) ).
fof(f35042,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(necessarily(implies(X0,sK59_skl)))) ),
inference(resolution,[status(thm)],[f32649,f666]) ).
fof(f35043,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(or(X0,sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f32649]) ).
fof(f35091,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)],[f1121,f1171]) ).
fof(f35092,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,not(X1)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1120,f1171]) ).
fof(f35093,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1171]) ).
fof(f35094,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(or(sK58_skl,X0)) ),
inference(resolution,[status(thm)],[f1227,f1131]) ).
fof(f35095,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(and(necessarily(or(sK58_skl,X0)),necessarily(or(sK58_skl,X0)))) ),
inference(resolution,[status(thm)],[f1227,f3013]) ).
fof(f35096,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(possibly(necessarily(or(sK58_skl,X0))))) ),
inference(resolution,[status(thm)],[f1227,f1152]) ).
fof(f35100,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(necessarily(or(sK58_skl,X1)),X0))) ),
inference(resolution,[status(thm)],[f1227,f1208]) ).
fof(f35111,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(not(X0),X1),implies(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f1121,f1146]) ).
fof(f35112,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)],[f1120,f1146]) ).
fof(f35113,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f659,f1146]) ).
fof(f35114,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(or(sK59_skl,X0)) ),
inference(resolution,[status(thm)],[f1198,f1131]) ).
fof(f35115,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(and(necessarily(or(sK59_skl,X0)),necessarily(or(sK59_skl,X0)))) ),
inference(resolution,[status(thm)],[f1198,f3013]) ).
fof(f35116,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(necessarily(possibly(necessarily(or(sK59_skl,X0))))) ),
inference(resolution,[status(thm)],[f1198,f1152]) ).
fof(f35120,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(necessarily(or(sK59_skl,X1)),X0))) ),
inference(resolution,[status(thm)],[f1198,f1208]) ).
fof(f35122,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(resolution,[status(thm)],[f1330,f1131]) ).
fof(f35123,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(and(necessarily(or(X0,sK58_skl)),necessarily(or(X0,sK58_skl)))) ),
inference(resolution,[status(thm)],[f1330,f3013]) ).
fof(f35124,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(possibly(necessarily(or(X0,sK58_skl))))) ),
inference(resolution,[status(thm)],[f1330,f1152]) ).
fof(f35128,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,sK58_skl)),X0))) ),
inference(resolution,[status(thm)],[f1330,f1208]) ).
fof(f35130,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1118,f1330]) ).
fof(f35131,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ99_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(possibly(X0),sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1119,f1330]) ).
fof(f35132,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ110_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,sK59_skl)) ),
inference(resolution,[status(thm)],[f1327,f1131]) ).
fof(f35133,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| is_a_theorem(and(necessarily(or(X0,sK59_skl)),necessarily(or(X0,sK59_skl)))) ),
inference(resolution,[status(thm)],[f1327,f3013]) ).
fof(f35134,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(possibly(necessarily(or(X0,sK59_skl))))) ),
inference(resolution,[status(thm)],[f1327,f1152]) ).
fof(f35138,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ89_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,and(necessarily(or(X1,sK59_skl)),X0))) ),
inference(resolution,[status(thm)],[f1327,f1208]) ).
fof(f35140,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1118,f1327]) ).
fof(f35141,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ100_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(necessarily(implies(possibly(X0),sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1119,f1327]) ).
fof(f35142,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33407,f1228]) ).
fof(f35143,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(possibly(sK59_skl))) ),
inference(resolution,[status(thm)],[f33407,f1122]) ).
fof(f35144,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(and(or(possibly(sK59_skl),X0),or(possibly(sK59_skl),X0))) ),
inference(resolution,[status(thm)],[f33407,f3013]) ).
fof(f35145,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(possibly(or(possibly(sK59_skl),X0)))) ),
inference(resolution,[status(thm)],[f33407,f1152]) ).
fof(f35146,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(or(or(possibly(sK59_skl),X0),X1)) ),
inference(resolution,[status(thm)],[f33407,f1142]) ).
fof(f35147,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,or(possibly(sK59_skl),X1))) ),
inference(resolution,[status(thm)],[f33407,f1164]) ).
fof(f35148,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,or(possibly(sK59_skl),X1))) ),
inference(resolution,[status(thm)],[f33407,f1148]) ).
fof(f35149,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(implies(X0,and(or(possibly(sK59_skl),X1),X0))) ),
inference(resolution,[status(thm)],[f33407,f1208]) ).
fof(f35150,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(or(possibly(sK59_skl),X0))) ),
inference(resolution,[status(thm)],[f33407,f666]) ).
fof(f35151,definition,
( sQ211_spl
<=> is_a_theorem(not(possibly(sK59_skl))) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f35153,plain,
( sQ211_spl
| ~ is_a_theorem(not(possibly(sK59_skl))) ),
inference(component_clause,[status(thm)],[f35151]) ).
fof(f35154,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| sQ173_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f35143,f35151,f1459,f1855,f766,f744,f452,f341,f644,f630]) ).
fof(f35155,plain,
( sQ101_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1503]) ).
fof(f35165,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(necessarily(not(X0)),possibly(X0))) ),
inference(paramodulation,[status(thm)],[f943,f3034]) ).
fof(f35172,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(possibly(X0),possibly(X0))) ),
inference(forward_demodulation,[status(thm)],[f1119,f35165]) ).
fof(f35173,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ25_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f659,f1146]) ).
fof(f35174,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ22_spl
| is_a_theorem(necessarily(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f1171]) ).
fof(f35175,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1145]) ).
fof(f35176,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f659,f1170]) ).
fof(f35177,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f659,f519]) ).
fof(f35178,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)],[f659,f442]) ).
fof(f35179,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f659,f431]) ).
fof(f35180,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f659,f420]) ).
fof(f35191,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,not(X1)),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f645,f3034]) ).
fof(f35198,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f1118,f35191]) ).
fof(f35201,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ116_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,possibly(sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f33405]) ).
fof(f35202,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3295]) ).
fof(f35203,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(necessarily(or(X0,sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f32649]) ).
fof(f35204,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,sK59_skl)) ),
inference(paramodulation,[status(thm)],[f1047,f32610]) ).
fof(f35205,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(or(X0,sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f34096]) ).
fof(f35206,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,sK58_skl)) ),
inference(paramodulation,[status(thm)],[f1047,f33731]) ).
fof(f35212,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ181_spl
| is_a_theorem(or(X0,necessarily(sK59_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f32548]) ).
fof(f35213,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,necessarily(sK58_skl))) ),
inference(paramodulation,[status(thm)],[f1047,f33700]) ).
fof(f35217,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f1047,f3032]) ).
fof(f35221,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f1047,f1150]) ).
fof(f35246,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ191_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(paramodulation,[status(thm)],[f1047,f3447]) ).
fof(f35247,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f1047,f387]) ).
fof(f35337,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ28_spl
| is_a_theorem(necessarily(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f1210]) ).
fof(f35338,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f33702,f1228]) ).
fof(f35339,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ180_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(necessarily(sK58_skl))) ),
inference(resolution,[status(thm)],[f33702,f1122]) ).
fof(f35340,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ180_spl
| is_a_theorem(and(or(necessarily(sK58_skl),X0),or(necessarily(sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f33702,f3013]) ).
fof(f35341,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(possibly(or(necessarily(sK58_skl),X0)))) ),
inference(resolution,[status(thm)],[f33702,f1152]) ).
fof(f35342,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ180_spl
| is_a_theorem(or(or(necessarily(sK58_skl),X0),X1)) ),
inference(resolution,[status(thm)],[f33702,f1142]) ).
fof(f35343,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ180_spl
| is_a_theorem(or(X0,or(necessarily(sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f33702,f1164]) ).
fof(f35344,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,or(necessarily(sK58_skl),X1))) ),
inference(resolution,[status(thm)],[f33702,f1148]) ).
fof(f35345,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ180_spl
| is_a_theorem(implies(X0,and(or(necessarily(sK58_skl),X1),X0))) ),
inference(resolution,[status(thm)],[f33702,f1208]) ).
fof(f35346,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ180_spl
| is_a_theorem(necessarily(or(necessarily(sK58_skl),X0))) ),
inference(resolution,[status(thm)],[f33702,f666]) ).
fof(f35347,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ180_spl
| sQ173_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f35339,f1836,f1459,f1851,f452,f341,f644,f630]) ).
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
| 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
| sQ173_spl
| ~ sQ176_spl
| sQ180_spl
| sQ181_spl
| sQ182_spl
| sQ191_spl
| sQ192_spl
| sQ194_spl
| sQ195_spl
| sQ196_spl
| sQ197_spl
| sQ198_spl
| sQ210_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL912+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Mon Sep 21 01:12:47 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 49.37/31.15 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 49.37/31.15 % SZS output start Saturation for theBenchmark
% See solution above
% 11.32/31.29 % Elapsed time: 30.909419 seconds
% 11.32/31.29 % CPU time: 243.532885 seconds
% 11.32/31.29 % Total memory used: 1.424 GB
% 11.32/31.29 % Net memory used: 1.297 GB
%------------------------------------------------------------------------------