%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL910+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:11:21 PM UTC 2026
% Result : Satisfiable 14.27s 7.38s
% Output : Saturation 14.27s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X,Y] :
( ( is_a_theorem(implies(X,Y))
& is_a_theorem(X) )
=> is_a_theorem(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X,Y] :
( is_a_theorem(equiv(X,Y))
=> X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( modus_tollens
<=> ! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( implies_1
<=> ! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( implies_2
<=> ! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( implies_3
<=> ! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( and_1
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( and_2
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( and_3
<=> ! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( or_1
<=> ! [X,Y] : is_a_theorem(implies(X,or(X,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( or_2
<=> ! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( or_3
<=> ! [X,Y,Z] : is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( equivalence_1
<=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(X,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( equivalence_2
<=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(Y,X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( equivalence_3
<=> ! [X,Y] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( kn1
<=> ! [P] : is_a_theorem(implies(P,and(P,P))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( kn2
<=> ! [P,Q] : is_a_theorem(implies(and(P,Q),P)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( kn3
<=> ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
( cn1
<=> ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( cn2
<=> ! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
( cn3
<=> ! [P] : is_a_theorem(implies(implies(not(P),P),P)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
( r1
<=> ! [P] : is_a_theorem(implies(or(P,P),P)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
( r2
<=> ! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
( r3
<=> ! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
( r4
<=> ! [P,Q,R] : is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
( r5
<=> ! [P,Q,R] : is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
( op_or
=> ! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
( op_and
=> ! [X,Y] : and(X,Y) = not(or(not(X),not(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
( op_implies_and
=> ! [X,Y] : implies(X,Y) = not(and(X,not(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
( op_implies_or
=> ! [X,Y] : implies(X,Y) = or(not(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
( op_equiv
=> ! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
op_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
kn1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
kn2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
kn3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,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(f41,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)],[f40]) ).
fof(f42,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)],[f41]) ).
fof(f43,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)],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| ~ modus_ponens ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f48,plain,
( substitution_of_equivalents
<=> ! [X,Y] :
( X = Y
| ~ is_a_theorem(equiv(X,Y)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f49,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)],[f48]) ).
fof(f50,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)],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f54,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(f55,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)],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
| ~ modus_tollens ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
( ~ is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl)))
| modus_tollens ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f58,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(f59,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)],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
( ~ is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl)))
| implies_1 ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f62,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(f63,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)],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
( ~ is_a_theorem(implies(implies(sK8_skl,implies(sK8_skl,sK9_skl)),implies(sK8_skl,sK9_skl)))
| implies_2 ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f66,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(f67,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)],[f66]) ).
fof(f68,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)],[f67]) ).
fof(f69,plain,
( ~ is_a_theorem(implies(implies(sK10_skl,sK11_skl),implies(implies(sK11_skl,sK12_skl),implies(sK10_skl,sK12_skl))))
| implies_3 ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f70,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(f71,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)],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
( ~ is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl))
| and_1 ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f74,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(f75,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)],[f74]) ).
fof(f76,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X1))
| ~ and_2 ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
( ~ is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl))
| and_2 ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f78,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(f79,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)],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f81,plain,
( ~ is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl))))
| and_3 ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f82,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(f83,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)],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f85,plain,
( ~ is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl)))
| or_1 ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f86,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(f87,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)],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X1,X0)))
| ~ or_2 ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
( ~ is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl)))
| or_2 ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f90,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(f91,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)],[f90]) ).
fof(f92,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)],[f91]) ).
fof(f93,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 ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f94,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(f95,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)],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
| ~ equivalence_1 ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
( ~ is_a_theorem(implies(equiv(sK26_skl,sK27_skl),implies(sK26_skl,sK27_skl)))
| equivalence_1 ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f98,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(f99,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)],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
| ~ equivalence_2 ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
( ~ is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl)))
| equivalence_2 ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f102,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(f103,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)],[f102]) ).
fof(f104,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
| ~ equivalence_3 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f105,plain,
( ~ is_a_theorem(implies(implies(sK30_skl,sK31_skl),implies(implies(sK31_skl,sK30_skl),equiv(sK30_skl,sK31_skl))))
| equivalence_3 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f106,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(f107,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)],[f106]) ).
fof(f108,plain,
! [X0] :
( is_a_theorem(implies(X0,and(X0,X0)))
| ~ kn1 ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f110,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(f111,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)],[f110]) ).
fof(f112,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ kn2 ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f114,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(f115,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)],[f114]) ).
fof(f116,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)],[f115]) ).
fof(f118,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(f119,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)],[f118]) ).
fof(f120,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f121,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)],[f119]) ).
fof(f122,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(f123,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)],[f122]) ).
fof(f124,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
( ~ is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl)))
| cn2 ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f126,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(f127,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)],[f126]) ).
fof(f128,plain,
! [X0] :
( is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
( ~ is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl))
| cn3 ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f130,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(f131,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)],[f130]) ).
fof(f132,plain,
! [X0] :
( is_a_theorem(implies(or(X0,X0),X0))
| ~ r1 ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
( ~ is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl))
| r1 ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f134,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(f135,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)],[f134]) ).
fof(f136,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X1,X0)))
| ~ r2 ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f137,plain,
( ~ is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl)))
| r2 ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f138,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(f139,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)],[f138]) ).
fof(f140,plain,
! [X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f141,plain,
( ~ is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl)))
| r3 ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f142,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(f143,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)],[f142]) ).
fof(f144,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
| ~ r4 ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f145,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)],[f143]) ).
fof(f146,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(f147,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)],[f146]) ).
fof(f148,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))
| ~ r5 ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,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)],[f147]) ).
fof(f150,plain,
( ! [X,Y] : or(X,Y) = not(and(not(X),not(Y)))
| ~ op_or ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f151,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
( ! [X,Y] : and(X,Y) = not(or(not(X),not(Y)))
| ~ op_and ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f153,plain,
! [X0,X1] :
( and(X0,X1) = not(or(not(X0),not(X1)))
| ~ op_and ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
( ! [X,Y] : implies(X,Y) = not(and(X,not(Y)))
| ~ op_implies_and ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f155,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
( ! [X,Y] : implies(X,Y) = or(not(X),Y)
| ~ op_implies_or ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f157,plain,
! [X0,X1] :
( implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( ! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X))
| ~ op_equiv ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f159,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
op_or,
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f161,plain,
op_implies_and,
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f162,plain,
op_equiv,
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f163,plain,
modus_ponens,
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f164,plain,
kn1,
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f165,plain,
kn2,
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f166,plain,
kn3,
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f167,plain,
substitution_of_equivalents,
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f168,definition,
( sQ0_spl
<=> modus_ponens ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( sQ0_spl
| ~ modus_ponens ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,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(f172,plain,
! [X0,X1] :
( ~ sQ1_spl
| is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f44,f168,f171]) ).
fof(f175,definition,
( sQ2_spl
<=> is_a_theorem(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ2_spl
| is_a_theorem(sK1_skl) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f179,definition,
( sQ3_spl
<=> is_a_theorem(implies(sK1_skl,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ3_spl
| is_a_theorem(implies(sK1_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f183,definition,
( sQ4_spl
<=> is_a_theorem(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( sQ4_spl
| ~ is_a_theorem(sK0_skl) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f187,definition,
( sQ5_spl
<=> substitution_of_equivalents ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( sQ5_spl
| ~ substitution_of_equivalents ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,definition,
! [X0,X1] :
( sQ6_spl
<=> ( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f191,plain,
! [X0,X1] :
( ~ sQ6_spl
| X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f51,f187,f190]) ).
fof(f194,definition,
( sQ7_spl
<=> is_a_theorem(equiv(sK2_skl,sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ7_spl
| is_a_theorem(equiv(sK2_skl,sK3_skl)) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f198,definition,
( sQ8_spl
<=> sK2_skl = sK3_skl ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( sQ8_spl
| sK2_skl != sK3_skl ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f202,definition,
( sQ9_spl
<=> modus_tollens ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ9_spl
| modus_tollens ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f204,plain,
( sQ9_spl
| ~ modus_tollens ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,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(f206,plain,
! [X0,X1] :
( ~ sQ10_spl
| is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f56,f202,f205]) ).
fof(f209,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(f210,plain,
( ~ sQ11_spl
| is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( sQ11_spl
| ~ is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( ~ sQ11_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f57,f202,f209]) ).
fof(f213,definition,
( sQ12_spl
<=> implies_1 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ12_spl
| implies_1 ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f215,plain,
( sQ12_spl
| ~ implies_1 ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,definition,
! [X0,X1] :
( sQ13_spl
<=> is_a_theorem(implies(X0,implies(X1,X0))) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f217,plain,
! [X0,X1] :
( ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f60,f213,f216]) ).
fof(f220,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(f221,plain,
( ~ sQ14_spl
| is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl))) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f222,plain,
( sQ14_spl
| ~ is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl))) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( ~ sQ14_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f61,f213,f220]) ).
fof(f224,definition,
( sQ15_spl
<=> implies_2 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ15_spl
| implies_2 ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f226,plain,
( sQ15_spl
| ~ implies_2 ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,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(f228,plain,
! [X0,X1] :
( ~ sQ16_spl
| is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,plain,
( sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f64,f224,f227]) ).
fof(f231,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(f232,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)],[f231]) ).
fof(f233,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)],[f231]) ).
fof(f234,plain,
( ~ sQ17_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f65,f224,f231]) ).
fof(f235,definition,
( sQ18_spl
<=> implies_3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ18_spl
| implies_3 ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f237,plain,
( sQ18_spl
| ~ implies_3 ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,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(f239,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)],[f238]) ).
fof(f241,plain,
( sQ19_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f68,f235,f238]) ).
fof(f242,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(f243,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)],[f242]) ).
fof(f244,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)],[f242]) ).
fof(f245,plain,
( ~ sQ20_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f69,f235,f242]) ).
fof(f246,definition,
( sQ21_spl
<=> and_1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ21_spl
| and_1 ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( sQ21_spl
| ~ and_1 ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
! [X0,X1] :
( sQ22_spl
<=> is_a_theorem(implies(and(X0,X1),X0)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f250,plain,
! [X0,X1] :
( ~ sQ22_spl
| is_a_theorem(implies(and(X0,X1),X0)) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f72,f246,f249]) ).
fof(f253,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(f254,plain,
( ~ sQ23_spl
| is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl)) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f255,plain,
( sQ23_spl
| ~ is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl)) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( ~ sQ23_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f73,f246,f253]) ).
fof(f257,definition,
( sQ24_spl
<=> and_2 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ24_spl
| and_2 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( sQ24_spl
| ~ and_2 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
! [X0,X1] :
( sQ25_spl
<=> is_a_theorem(implies(and(X0,X1),X1)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f261,plain,
! [X0,X1] :
( ~ sQ25_spl
| is_a_theorem(implies(and(X0,X1),X1)) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f76,f257,f260]) ).
fof(f264,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(f265,plain,
( ~ sQ26_spl
| is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl)) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f266,plain,
( sQ26_spl
| ~ is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl)) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( ~ sQ26_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f77,f257,f264]) ).
fof(f268,definition,
( sQ27_spl
<=> and_3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ27_spl
| and_3 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f270,plain,
( sQ27_spl
| ~ and_3 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,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(f272,plain,
! [X0,X1] :
( ~ sQ28_spl
| is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( sQ28_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f80,f268,f271]) ).
fof(f275,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(f276,plain,
( ~ sQ29_spl
| is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl)))) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( sQ29_spl
| ~ is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl)))) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( ~ sQ29_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f81,f268,f275]) ).
fof(f279,definition,
( sQ30_spl
<=> or_1 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ30_spl
| or_1 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( sQ30_spl
| ~ or_1 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
! [X0,X1] :
( sQ31_spl
<=> is_a_theorem(implies(X0,or(X0,X1))) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f283,plain,
! [X0,X1] :
( ~ sQ31_spl
| is_a_theorem(implies(X0,or(X0,X1))) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,plain,
( sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f84,f279,f282]) ).
fof(f286,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(f287,plain,
( ~ sQ32_spl
| is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl))) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f288,plain,
( sQ32_spl
| ~ is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl))) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( ~ sQ32_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f85,f279,f286]) ).
fof(f290,definition,
( sQ33_spl
<=> or_2 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ33_spl
| or_2 ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f292,plain,
( sQ33_spl
| ~ or_2 ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,definition,
! [X0,X1] :
( sQ34_spl
<=> is_a_theorem(implies(X0,or(X1,X0))) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f294,plain,
! [X0,X1] :
( ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,plain,
( sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f88,f290,f293]) ).
fof(f297,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(f298,plain,
( ~ sQ35_spl
| is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl))) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f299,plain,
( sQ35_spl
| ~ is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl))) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( ~ sQ35_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f89,f290,f297]) ).
fof(f301,definition,
( sQ36_spl
<=> or_3 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ36_spl
| or_3 ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f303,plain,
( sQ36_spl
| ~ or_3 ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,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(f305,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)],[f304]) ).
fof(f307,plain,
( sQ37_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f92,f301,f304]) ).
fof(f308,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(f309,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)],[f308]) ).
fof(f310,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)],[f308]) ).
fof(f311,plain,
( ~ sQ38_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f93,f301,f308]) ).
fof(f312,definition,
( sQ39_spl
<=> equivalence_1 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ39_spl
| equivalence_1 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f314,plain,
( sQ39_spl
| ~ equivalence_1 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,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(f316,plain,
! [X0,X1] :
( ~ sQ40_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( sQ40_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f96,f312,f315]) ).
fof(f319,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(f320,plain,
( ~ sQ41_spl
| is_a_theorem(implies(equiv(sK26_skl,sK27_skl),implies(sK26_skl,sK27_skl))) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f321,plain,
( sQ41_spl
| ~ is_a_theorem(implies(equiv(sK26_skl,sK27_skl),implies(sK26_skl,sK27_skl))) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,plain,
( ~ sQ41_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f97,f312,f319]) ).
fof(f323,definition,
( sQ42_spl
<=> equivalence_2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ42_spl
| equivalence_2 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f325,plain,
( sQ42_spl
| ~ equivalence_2 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,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(f327,plain,
! [X0,X1] :
( ~ sQ43_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( sQ43_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f100,f323,f326]) ).
fof(f330,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(f331,plain,
( ~ sQ44_spl
| is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl))) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f332,plain,
( sQ44_spl
| ~ is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl))) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( ~ sQ44_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f101,f323,f330]) ).
fof(f334,definition,
( sQ45_spl
<=> equivalence_3 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ45_spl
| equivalence_3 ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f336,plain,
( sQ45_spl
| ~ equivalence_3 ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,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(f338,plain,
! [X0,X1] :
( ~ sQ46_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( sQ46_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f104,f334,f337]) ).
fof(f341,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(f342,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)],[f341]) ).
fof(f343,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)],[f341]) ).
fof(f344,plain,
( ~ sQ47_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f105,f334,f341]) ).
fof(f345,definition,
( sQ48_spl
<=> kn1 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( sQ48_spl
| ~ kn1 ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,definition,
! [X0] :
( sQ49_spl
<=> is_a_theorem(implies(X0,and(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f349,plain,
! [X0] :
( ~ sQ49_spl
| is_a_theorem(implies(X0,and(X0,X0))) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( sQ49_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f108,f345,f348]) ).
fof(f352,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(f353,plain,
( ~ sQ50_spl
| is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl))) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f354,plain,
( sQ50_spl
| ~ is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl))) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f356,definition,
( sQ51_spl
<=> kn2 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( sQ51_spl
| ~ kn2 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( sQ22_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f112,f356,f249]) ).
fof(f360,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(f361,plain,
( ~ sQ52_spl
| is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl)) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f362,plain,
( sQ52_spl
| ~ is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl)) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f364,definition,
( sQ53_spl
<=> kn3 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( sQ53_spl
| ~ kn3 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,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(f368,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)],[f367]) ).
fof(f370,plain,
( sQ54_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f116,f364,f367]) ).
fof(f371,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(f372,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)],[f371]) ).
fof(f373,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)],[f371]) ).
fof(f375,definition,
( sQ56_spl
<=> cn1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ56_spl
| cn1 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f377,plain,
( sQ56_spl
| ~ cn1 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( sQ19_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f120,f375,f238]) ).
fof(f379,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(f380,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)],[f379]) ).
fof(f381,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)],[f379]) ).
fof(f382,plain,
( ~ sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f121,f375,f379]) ).
fof(f383,definition,
( sQ58_spl
<=> cn2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ58_spl
| cn2 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f385,plain,
( sQ58_spl
| ~ cn2 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,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(f387,plain,
! [X0,X1] :
( ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( sQ59_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f124,f383,f386]) ).
fof(f390,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(f391,plain,
( ~ sQ60_spl
| is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl))) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f392,plain,
( sQ60_spl
| ~ is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl))) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( ~ sQ60_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f125,f383,f390]) ).
fof(f394,definition,
( sQ61_spl
<=> cn3 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f395,plain,
( ~ sQ61_spl
| cn3 ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f396,plain,
( sQ61_spl
| ~ cn3 ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,definition,
! [X0] :
( sQ62_spl
<=> is_a_theorem(implies(implies(not(X0),X0),X0)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f398,plain,
! [X0] :
( ~ sQ62_spl
| is_a_theorem(implies(implies(not(X0),X0),X0)) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( sQ62_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f128,f394,f397]) ).
fof(f401,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(f402,plain,
( ~ sQ63_spl
| is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl)) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f403,plain,
( sQ63_spl
| ~ is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl)) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( ~ sQ63_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f129,f394,f401]) ).
fof(f405,definition,
( sQ64_spl
<=> r1 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ64_spl
| r1 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ64_spl
| ~ r1 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
! [X0] :
( sQ65_spl
<=> is_a_theorem(implies(or(X0,X0),X0)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f409,plain,
! [X0] :
( ~ sQ65_spl
| is_a_theorem(implies(or(X0,X0),X0)) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( sQ65_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f132,f405,f408]) ).
fof(f412,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(f413,plain,
( ~ sQ66_spl
| is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl)) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f414,plain,
( sQ66_spl
| ~ is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl)) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( ~ sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f133,f405,f412]) ).
fof(f416,definition,
( sQ67_spl
<=> r2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ67_spl
| r2 ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f418,plain,
( sQ67_spl
| ~ r2 ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( sQ34_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f136,f416,f293]) ).
fof(f420,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(f421,plain,
( ~ sQ68_spl
| is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl))) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f422,plain,
( sQ68_spl
| ~ is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl))) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,plain,
( ~ sQ68_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f137,f416,f420]) ).
fof(f424,definition,
( sQ69_spl
<=> r3 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ69_spl
| r3 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ69_spl
| ~ r3 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,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(f428,plain,
! [X0,X1] :
( ~ sQ70_spl
| is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( sQ70_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f140,f424,f427]) ).
fof(f431,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(f432,plain,
( ~ sQ71_spl
| is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl))) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f433,plain,
( sQ71_spl
| ~ is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl))) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( ~ sQ71_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f141,f424,f431]) ).
fof(f435,definition,
( sQ72_spl
<=> r4 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( ~ sQ72_spl
| r4 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f437,plain,
( sQ72_spl
| ~ r4 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,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(f439,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)],[f438]) ).
fof(f441,plain,
( sQ73_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f144,f435,f438]) ).
fof(f442,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(f443,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)],[f442]) ).
fof(f444,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)],[f442]) ).
fof(f445,plain,
( ~ sQ74_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f145,f435,f442]) ).
fof(f446,definition,
( sQ75_spl
<=> r5 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ75_spl
| r5 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f448,plain,
( sQ75_spl
| ~ r5 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,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(f450,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)],[f449]) ).
fof(f452,plain,
( sQ76_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f148,f446,f449]) ).
fof(f453,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(f454,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)],[f453]) ).
fof(f455,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)],[f453]) ).
fof(f456,plain,
( ~ sQ77_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f149,f446,f453]) ).
fof(f457,definition,
( sQ78_spl
<=> op_or ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( sQ78_spl
| ~ op_or ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,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(f461,plain,
! [X0,X1] :
( ~ sQ79_spl
| or(X0,X1) = not(and(not(X0),not(X1))) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( sQ79_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f151,f457,f460]) ).
fof(f464,definition,
( sQ80_spl
<=> op_and ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( sQ80_spl
| ~ op_and ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,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(f470,plain,
( sQ81_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f153,f464,f467]) ).
fof(f471,definition,
( sQ82_spl
<=> op_implies_and ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( sQ82_spl
| ~ op_implies_and ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
! [X0,X1] :
( sQ83_spl
<=> implies(X0,X1) = not(and(X0,not(X1))) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f475,plain,
! [X0,X1] :
( ~ sQ83_spl
| implies(X0,X1) = not(and(X0,not(X1))) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( sQ83_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f155,f471,f474]) ).
fof(f478,definition,
( sQ84_spl
<=> op_implies_or ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( sQ84_spl
| ~ op_implies_or ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,definition,
! [X0,X1] :
( sQ85_spl
<=> implies(X0,X1) = or(not(X0),X1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( sQ85_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f157,f478,f481]) ).
fof(f485,definition,
( sQ86_spl
<=> op_equiv ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( sQ86_spl
| ~ op_equiv ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,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(f489,plain,
! [X0,X1] :
( ~ sQ87_spl
| equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( sQ87_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f159,f485,f488]) ).
fof(f492,plain,
( sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f487,f162]) ).
fof(f493,plain,
sQ86_spl,
inference(contradiction_clause,[status(thm)],[f492]) ).
fof(f494,plain,
( sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f473,f161]) ).
fof(f495,plain,
sQ82_spl,
inference(contradiction_clause,[status(thm)],[f494]) ).
fof(f496,plain,
( sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f459,f160]) ).
fof(f497,plain,
sQ78_spl,
inference(contradiction_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( sQ77_spl
| ~ sQ76_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f455,f450]) ).
fof(f499,plain,
( sQ74_spl
| ~ sQ73_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f444,f439]) ).
fof(f500,plain,
( sQ71_spl
| ~ sQ70_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f433,f428]) ).
fof(f501,plain,
( sQ68_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f294]) ).
fof(f502,plain,
( sQ68_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f501]) ).
fof(f503,plain,
( sQ66_spl
| ~ sQ65_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f414,f409]) ).
fof(f504,plain,
( sQ63_spl
| ~ sQ62_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f403,f398]) ).
fof(f505,plain,
( sQ60_spl
| ~ sQ59_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f392,f387]) ).
fof(f506,plain,
( sQ57_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f239]) ).
fof(f507,plain,
( sQ57_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f506]) ).
fof(f508,plain,
( sQ55_spl
| ~ sQ54_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f373,f368]) ).
fof(f509,plain,
( sQ52_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f362,f250]) ).
fof(f510,plain,
( sQ52_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ50_spl
| ~ sQ49_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f354,f349]) ).
fof(f512,plain,
( sQ47_spl
| ~ sQ46_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f343,f338]) ).
fof(f513,plain,
( sQ44_spl
| ~ sQ43_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f332,f327]) ).
fof(f514,plain,
( sQ41_spl
| ~ sQ40_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f321,f316]) ).
fof(f515,plain,
( sQ38_spl
| ~ sQ37_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f310,f305]) ).
fof(f516,plain,
( sQ32_spl
| ~ sQ31_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f288,f283]) ).
fof(f517,plain,
( sQ29_spl
| ~ sQ28_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f277,f272]) ).
fof(f518,plain,
( sQ26_spl
| ~ sQ25_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f266,f261]) ).
fof(f519,plain,
( sQ17_spl
| ~ sQ16_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f233,f228]) ).
fof(f520,plain,
( sQ14_spl
| ~ sQ13_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f222,f217]) ).
fof(f521,plain,
( sQ11_spl
| ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f211,f206]) ).
fof(f522,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f170,f163]) ).
fof(f523,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f522]) ).
fof(f524,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f189,f167]) ).
fof(f525,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f524]) ).
fof(f526,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)],[f530,f368]) ).
fof(f527,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)],[f530,f206]) ).
fof(f528,plain,
! [X0,X1] :
( ~ sQ59_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,or(X0,X1))) ),
inference(backward_demodulation,[status(thm)],[f530,f387]) ).
fof(f529,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(X0,X0),X0)) ),
inference(backward_demodulation,[status(thm)],[f530,f398]) ).
fof(f530,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| or(X0,X1) = implies(not(X0),X1) ),
inference(forward_demodulation,[status(thm)],[f475,f461]) ).
fof(f531,plain,
( sQ77_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f498]) ).
fof(f532,plain,
( sQ74_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f499]) ).
fof(f533,plain,
( sQ71_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f500]) ).
fof(f534,plain,
( sQ66_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f503]) ).
fof(f535,plain,
( sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f504]) ).
fof(f536,plain,
( sQ60_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f505]) ).
fof(f537,plain,
( sQ35_spl
| ~ sQ34_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f299,f294]) ).
fof(f538,plain,
( sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f508]) ).
fof(f539,plain,
( sQ20_spl
| ~ sQ19_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f244,f239]) ).
fof(f540,plain,
( sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f511]) ).
fof(f541,plain,
( sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f512]) ).
fof(f542,plain,
( sQ44_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f513]) ).
fof(f543,plain,
( sQ41_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f514]) ).
fof(f544,plain,
( sQ38_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f515]) ).
fof(f545,plain,
( sQ32_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f516]) ).
fof(f546,plain,
( sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f517]) ).
fof(f547,plain,
( sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f518]) ).
fof(f548,plain,
( sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f519]) ).
fof(f549,plain,
( sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f520]) ).
fof(f550,plain,
( sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f551,plain,
( sQ23_spl
| ~ sQ22_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f255,f250]) ).
fof(f552,plain,
( sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ is_a_theorem(implies(or(sK43_skl,sK43_skl),sK43_skl)) ),
inference(forward_demodulation,[status(thm)],[f530,f403]) ).
fof(f553,plain,
( sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ is_a_theorem(implies(sK41_skl,or(sK41_skl,sK42_skl))) ),
inference(forward_demodulation,[status(thm)],[f530,f392]) ).
fof(f554,plain,
( sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f537]) ).
fof(f555,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)],[f530,f373]) ).
fof(f556,plain,
( sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f366,f166]) ).
fof(f557,plain,
sQ53_spl,
inference(contradiction_clause,[status(thm)],[f556]) ).
fof(f558,plain,
( sQ20_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f539]) ).
fof(f559,plain,
( sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f347,f164]) ).
fof(f560,plain,
sQ48_spl,
inference(contradiction_clause,[status(thm)],[f559]) ).
fof(f561,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)],[f530,f211]) ).
fof(f562,plain,
( sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f563,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)],[f530,f372]) ).
fof(f564,plain,
( sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f358,f165]) ).
fof(f565,plain,
sQ51_spl,
inference(contradiction_clause,[status(thm)],[f564]) ).
fof(f566,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| implies(X0,and(X1,not(X2))) = not(and(X0,implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f475,f475]) ).
fof(f567,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,not(X1)),X2) = implies(implies(X0,X1),X2) ),
inference(paramodulation,[status(thm)],[f475,f530]) ).
fof(f568,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)],[f530,f489]) ).
fof(f569,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)],[f530,f489]) ).
fof(f570,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)],[f530,f172]) ).
fof(f571,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(X0,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f349,f172]) ).
fof(f572,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(not(X0),not(X0)))) ),
inference(paramodulation,[status(thm)],[f530,f349]) ).
fof(f573,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f489,f349]) ).
fof(f574,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(X0)
| ~ is_a_theorem(and(X0,X1)) ),
inference(resolution,[status(thm)],[f250,f172]) ).
fof(f575,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f489,f250]) ).
fof(f576,plain,
( ~ sQ87_spl
| ~ sQ22_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f575,f315,f249,f488]) ).
fof(f577,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)],[f571,f250]) ).
fof(f578,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X0,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f571,f349]) ).
fof(f579,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)],[f489,f574]) ).
fof(f580,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(equiv(X0,X0))
| ~ is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f573,f172]) ).
fof(f581,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(X0,X0),equiv(X0,X0)),implies(implies(X0,X0),equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f573,f571]) ).
fof(f582,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)],[f530,f573]) ).
fof(f583,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(resolution,[status(thm)],[f316,f172]) ).
fof(f584,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f316,f571]) ).
fof(f585,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(not(X0),X1),or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f530,f316]) ).
fof(f586,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(equiv(not(X0),not(X0)))
| ~ is_a_theorem(or(X0,not(X0))) ),
inference(paramodulation,[status(thm)],[f530,f580]) ).
fof(f587,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)],[f572,f571]) ).
fof(f597,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)],[f585,f172]) ).
fof(f598,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_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)],[f585,f571]) ).
fof(f601,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ40_spl
| is_a_theorem(or(and(X0,not(X1)),X2))
| ~ is_a_theorem(equiv(implies(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f475,f597]) ).
fof(f602,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ40_spl
| is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(equiv(implies(X0,X1),X2)) ),
inference(forward_demodulation,[status(thm)],[f567,f601]) ).
fof(f615,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| or(X0,and(X1,not(X2))) = not(and(not(X0),implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f530,f566]) ).
fof(f617,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| is_a_theorem(not(and(and(and(X0,not(X1)),X2),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f566,f250]) ).
fof(f619,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(X0),implies(not(X0),X0)))) ),
inference(paramodulation,[status(thm)],[f566,f349]) ).
fof(f620,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(equiv(and(X0,not(X1)),and(X0,not(X1))))
| ~ is_a_theorem(not(and(and(X0,not(X1)),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f566,f580]) ).
fof(f621,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f566,f316]) ).
fof(f622,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(not(and(and(X0,not(X1)),implies(X0,X1))),equiv(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f566,f573]) ).
fof(f623,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(and(X1,not(X2)))
| ~ is_a_theorem(not(and(X0,implies(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(paramodulation,[status(thm)],[f566,f172]) ).
fof(f624,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| equiv(and(X0,not(X1)),X2) = and(implies(and(X0,not(X1)),X2),not(and(X2,implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f566,f489]) ).
fof(f625,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| equiv(X0,and(X1,not(X2))) = and(not(and(X0,implies(X1,X2))),implies(and(X1,not(X2)),X0)) ),
inference(paramodulation,[status(thm)],[f566,f489]) ).
fof(f628,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ79_spl
| is_a_theorem(or(and(and(X0,not(X1)),implies(X0,X1)),equiv(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f530,f622]) ).
fof(f629,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)],[f530,f568]) ).
fof(f633,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)],[f568,f250]) ).
fof(f641,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)],[f569,f574]) ).
fof(f642,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)],[f569,f250]) ).
fof(f648,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(and(and(implies(and(X0,X1),X0),implies(and(X0,X1),X0)),and(implies(and(X0,X1),X0),implies(and(X0,X1),X0)))) ),
inference(resolution,[status(thm)],[f577,f571]) ).
fof(f649,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(and(and(X0,not(X1)),X2),implies(X0,X1))),implies(and(and(X0,not(X1)),X2),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f566,f577]) ).
fof(f650,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(not(X0),X1),or(X0,X1)),implies(and(or(X0,X1),implies(X1,not(X0))),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f569,f577]) ).
fof(f651,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,not(X1)),implies(X0,not(X1))),implies(and(implies(X0,not(X1)),or(X1,X0)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f568,f577]) ).
fof(f652,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(and(implies(X0,X1),implies(X1,X0)),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f489,f577]) ).
fof(f654,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(or(X0,X1),implies(X1,not(X0))),or(X0,X1)),implies(equiv(not(X0),X1),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f569,f577]) ).
fof(f655,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(implies(X0,not(X1)),or(X1,X0)),implies(X0,not(X1))),implies(equiv(X0,not(X1)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f568,f577]) ).
fof(f656,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(implies(X0,X1),implies(X1,X0)),implies(X0,X1)),implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f489,f577]) ).
fof(f657,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(not(and(and(and(X0,not(X1)),X2),implies(X0,X1))),not(and(and(and(X0,not(X1)),X2),implies(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f566,f649]) ).
fof(f658,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_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(forward_demodulation,[status(thm)],[f569,f650]) ).
fof(f659,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,not(X1)),implies(X0,not(X1))),implies(equiv(X0,not(X1)),implies(X0,not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f568,f651]) ).
fof(f660,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f489,f652]) ).
fof(f662,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_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(forward_demodulation,[status(thm)],[f569,f654]) ).
fof(f663,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,not(X1)),implies(X0,not(X1))),implies(equiv(X0,not(X1)),implies(X0,not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f568,f655]) ).
fof(f664,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f489,f656]) ).
fof(f666,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(and(implies(X0,and(X0,X0)),implies(X0,and(X0,X0))),and(implies(X0,and(X0,X0)),implies(X0,and(X0,X0))))) ),
inference(resolution,[status(thm)],[f578,f571]) ).
fof(f668,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| is_a_theorem(and(not(and(not(X0),implies(not(X0),X0))),implies(not(X0),and(not(X0),not(X0))))) ),
inference(paramodulation,[status(thm)],[f566,f578]) ).
fof(f671,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(not(X0),and(not(X0),not(X0))),not(and(not(X0),implies(not(X0),X0))))) ),
inference(paramodulation,[status(thm)],[f566,f578]) ).
fof(f682,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(or(X0,not(X0)),equiv(not(X0),not(X0))),implies(or(X0,not(X0)),equiv(not(X0),not(X0))))) ),
inference(resolution,[status(thm)],[f582,f571]) ).
fof(f709,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)],[f530,f617]) ).
fof(f715,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(and(X1,X2),not(and(X2,X0))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f526,f172]) ).
fof(f716,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,X1),or(and(X1,X2),not(and(X2,X0)))),implies(implies(X0,X1),or(and(X1,X2),not(and(X2,X0)))))) ),
inference(resolution,[status(thm)],[f526,f571]) ).
fof(f717,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| is_a_theorem(implies(or(X0,X1),or(and(X1,X2),not(and(X2,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f530,f526]) ).
fof(f718,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(implies(not(and(X0,implies(X1,X2))),or(and(and(X1,not(X2)),X3),not(and(X3,X0))))) ),
inference(paramodulation,[status(thm)],[f566,f526]) ).
fof(f719,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),not(and(not(X2),X0))))) ),
inference(paramodulation,[status(thm)],[f567,f526]) ).
fof(f720,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(equiv(not(X1),X2),not(and(implies(X2,not(X1)),X0))))) ),
inference(paramodulation,[status(thm)],[f569,f526]) ).
fof(f721,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),or(equiv(X1,not(X2)),not(and(or(X2,X1),X0))))) ),
inference(paramodulation,[status(thm)],[f568,f526]) ).
fof(f722,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),or(equiv(X1,X2),not(and(implies(X2,X1),X0))))) ),
inference(paramodulation,[status(thm)],[f489,f526]) ).
fof(f724,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(implies(X0,not(X1)),X2),or(and(X2,or(X1,X0)),not(equiv(not(X1),X0))))) ),
inference(paramodulation,[status(thm)],[f569,f526]) ).
fof(f725,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),or(and(X2,implies(X1,not(X0))),not(equiv(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f568,f526]) ).
fof(f726,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),or(and(X2,implies(X1,X0)),not(equiv(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f489,f526]) ).
fof(f727,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| is_a_theorem(implies(or(X0,X1),or(and(X1,X2),implies(X2,X0)))) ),
inference(forward_demodulation,[status(thm)],[f475,f717]) ).
fof(f728,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(and(and(X1,not(X2)),X3),not(and(X3,X0))))) ),
inference(forward_demodulation,[status(thm)],[f530,f718]) ).
fof(f730,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| is_a_theorem(or(and(X1,X2),implies(X2,X0)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f727,f172]) ).
fof(f731,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,X1),or(and(X1,X2),implies(X2,X0))),implies(or(X0,X1),or(and(X1,X2),implies(X2,X0))))) ),
inference(resolution,[status(thm)],[f727,f571]) ).
fof(f733,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),implies(not(X2),X0)))) ),
inference(paramodulation,[status(thm)],[f567,f727]) ).
fof(f734,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),or(equiv(not(X1),X2),implies(implies(X2,not(X1)),X0)))) ),
inference(paramodulation,[status(thm)],[f569,f727]) ).
fof(f735,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(equiv(X1,not(X2)),implies(or(X2,X1),X0)))) ),
inference(paramodulation,[status(thm)],[f568,f727]) ).
fof(f736,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),or(equiv(X1,X2),implies(implies(X2,X1),X0)))) ),
inference(paramodulation,[status(thm)],[f489,f727]) ).
fof(f740,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X2,X0)))) ),
inference(forward_demodulation,[status(thm)],[f530,f733]) ).
fof(f743,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| is_a_theorem(or(and(and(not(X0),not(X0)),X1),implies(X1,X0))) ),
inference(resolution,[status(thm)],[f730,f572]) ).
fof(f746,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(X1,X2),or(X2,X0)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f740,f172]) ).
fof(f747,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,X1),implies(implies(X1,X2),or(X2,X0))),implies(or(X0,X1),implies(implies(X1,X2),or(X2,X0))))) ),
inference(resolution,[status(thm)],[f740,f571]) ).
fof(f748,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X3),or(X3,and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f567,f740]) ).
fof(f749,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| is_a_theorem(implies(or(X0,not(X1)),implies(or(X1,X2),or(X2,X0)))) ),
inference(paramodulation,[status(thm)],[f530,f740]) ).
fof(f756,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(and(not(X0),not(X0)),X1),or(X1,X0))) ),
inference(resolution,[status(thm)],[f746,f572]) ).
fof(f757,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(X2,X3),or(X3,and(X0,not(X1)))))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f567,f746]) ).
fof(f758,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),or(X2,and(and(not(X1),not(X1)),X0)))) ),
inference(resolution,[status(thm)],[f743,f746]) ).
fof(f759,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,X1),X2),implies(X2,and(and(not(X1),not(X1)),X0)))) ),
inference(resolution,[status(thm)],[f743,f730]) ).
fof(f760,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(not(and(and(not(X0),not(X0)),X1))) ),
inference(resolution,[status(thm)],[f743,f570]) ).
fof(f761,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| is_a_theorem(and(or(and(and(not(X0),not(X0)),X1),implies(X1,X0)),or(and(and(not(X0),not(X0)),X1),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f743,f571]) ).
fof(f775,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(implies(and(not(X0),not(X0)),X1)) ),
inference(resolution,[status(thm)],[f756,f172]) ).
fof(f776,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(implies(and(not(X0),not(X0)),X1),or(X1,X0)),implies(implies(and(not(X0),not(X0)),X1),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f756,f571]) ).
fof(f778,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(and(implies(X0,X1),not(and(X0,not(X1)))),X2),or(X2,and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f475,f756]) ).
fof(f783,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(and(implies(X0,X1),implies(X0,X1)),X2),or(X2,and(X0,not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f475,f778]) ).
fof(f787,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(or(not(X0),X0)) ),
inference(resolution,[status(thm)],[f775,f250]) ).
fof(f788,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| is_a_theorem(or(and(and(not(X0),not(X0)),and(not(X0),not(X0))),X0)) ),
inference(resolution,[status(thm)],[f775,f349]) ).
fof(f790,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(or(X2,and(X0,not(X1))))
| ~ is_a_theorem(implies(and(implies(X0,X1),not(and(X0,not(X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f475,f775]) ).
fof(f793,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(or(X2,and(X0,not(X1))))
| ~ is_a_theorem(implies(and(implies(X0,X1),implies(X0,X1)),X2)) ),
inference(forward_demodulation,[status(thm)],[f475,f790]) ).
fof(f795,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),or(X1,not(X0)))) ),
inference(resolution,[status(thm)],[f787,f746]) ).
fof(f796,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,not(X0)))) ),
inference(resolution,[status(thm)],[f787,f730]) ).
fof(f797,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(not(X0))) ),
inference(resolution,[status(thm)],[f787,f570]) ).
fof(f798,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| is_a_theorem(and(or(not(X0),X0),or(not(X0),X0))) ),
inference(resolution,[status(thm)],[f787,f571]) ).
fof(f799,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(or(implies(X0,X1),and(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f475,f787]) ).
fof(f800,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(and(X0,not(X1)))
| ~ is_a_theorem(not(implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f475,f797]) ).
fof(f801,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,not(X0)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f795,f172]) ).
fof(f802,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(implies(X0,X1),or(X1,not(X0))),implies(implies(X0,X1),or(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f795,f571]) ).
fof(f803,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(X0,X1),or(X1,not(not(X0))))) ),
inference(paramodulation,[status(thm)],[f530,f795]) ).
fof(f806,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),X2),or(X2,implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f475,f795]) ).
fof(f811,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(implies(X0,not(X1)),X2),or(X2,and(X1,X0)))) ),
inference(resolution,[status(thm)],[f796,f746]) ).
fof(f812,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,not(X1)),X2),implies(X2,and(X1,X0)))) ),
inference(resolution,[status(thm)],[f796,f730]) ).
fof(f813,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(not(and(X0,X1))) ),
inference(resolution,[status(thm)],[f796,f570]) ).
fof(f814,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(and(X0,X1),implies(X1,not(X0))),or(and(X0,X1),implies(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f796,f571]) ).
fof(f816,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(implies(X1,not(X0)),not(or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f569,f796]) ).
fof(f817,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(or(X1,X0),not(implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f568,f796]) ).
fof(f818,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(X0,X1),implies(implies(X1,X0),not(implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f489,f796]) ).
fof(f820,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(and(X0,not(X1)),X2),implies(X2,implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f475,f796]) ).
fof(f823,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| is_a_theorem(or(and(equiv(not(X0),not(X0)),X1),not(and(X1,or(X0,not(X0)))))) ),
inference(resolution,[status(thm)],[f715,f582]) ).
fof(f824,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ1_spl
| is_a_theorem(or(and(implies(implies(X0,X1),or(X1,X2)),X3),not(and(X3,or(X2,X0))))) ),
inference(resolution,[status(thm)],[f715,f740]) ).
fof(f825,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ1_spl
| is_a_theorem(or(and(or(and(X0,X1),implies(X1,X2)),X3),not(and(X3,or(X2,X0))))) ),
inference(resolution,[status(thm)],[f715,f727]) ).
fof(f826,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ54_spl
| is_a_theorem(or(and(or(X0,X1),X2),not(and(X2,equiv(not(X0),X1))))) ),
inference(resolution,[status(thm)],[f715,f585]) ).
fof(f827,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(and(implies(X0,X1),X2),not(and(X2,equiv(X0,X1))))) ),
inference(resolution,[status(thm)],[f715,f316]) ).
fof(f828,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| is_a_theorem(or(and(or(X0,X1),X2),not(and(X2,implies(and(not(X1),not(X1)),X0))))) ),
inference(resolution,[status(thm)],[f715,f756]) ).
fof(f829,plain,
! [X0,X1,X2,X3] :
( ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(or(and(or(and(X0,X1),not(and(X1,X2))),X3),not(and(X3,implies(X2,X0))))) ),
inference(resolution,[status(thm)],[f715,f526]) ).
fof(f830,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,not(X1)),X2),not(and(X2,implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f715,f795]) ).
fof(f831,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(and(equiv(X0,X0),X1),not(and(X1,implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f715,f573]) ).
fof(f832,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(and(X0,X1),not(and(X1,and(X0,X2))))) ),
inference(resolution,[status(thm)],[f715,f250]) ).
fof(f833,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(and(and(X0,X0),X1),not(and(X1,X0)))) ),
inference(resolution,[status(thm)],[f715,f349]) ).
fof(f835,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(or(and(and(X1,not(X2)),X3),not(and(X3,X0))))
| ~ is_a_theorem(not(and(X0,implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f566,f715]) ).
fof(f840,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(or(implies(X0,X1),and(X0,not(X1))),or(implies(X0,X1),and(X0,not(X1))))) ),
inference(resolution,[status(thm)],[f799,f571]) ).
fof(f841,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(or(or(X0,X1),and(not(X0),not(X1)))) ),
inference(paramodulation,[status(thm)],[f530,f799]) ).
fof(f846,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(equiv(not(X0),not(X0)),not(or(X0,not(X0))))) ),
inference(resolution,[status(thm)],[f801,f582]) ).
fof(f847,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(implies(X0,X1),or(X1,X2)),not(or(X2,X0)))) ),
inference(resolution,[status(thm)],[f801,f740]) ).
fof(f848,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(and(X0,X1),implies(X1,X2)),not(or(X2,X0)))) ),
inference(resolution,[status(thm)],[f801,f727]) ).
fof(f849,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),not(equiv(not(X0),X1)))) ),
inference(resolution,[status(thm)],[f801,f585]) ).
fof(f850,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),not(equiv(X0,X1)))) ),
inference(resolution,[status(thm)],[f801,f316]) ).
fof(f851,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(or(X0,X1),not(implies(and(not(X1),not(X1)),X0)))) ),
inference(resolution,[status(thm)],[f801,f756]) ).
fof(f852,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(and(X0,X1),not(and(X1,X2))),not(implies(X2,X0)))) ),
inference(resolution,[status(thm)],[f801,f526]) ).
fof(f853,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(X1)),not(implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f801,f795]) ).
fof(f854,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(equiv(X0,X0),not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f801,f573]) ).
fof(f855,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(and(X0,X1)))) ),
inference(resolution,[status(thm)],[f801,f250]) ).
fof(f856,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(and(X0,X0),not(X0))) ),
inference(resolution,[status(thm)],[f801,f349]) ).
fof(f857,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,not(not(X0))))
| ~ is_a_theorem(or(X0,X1)) ),
inference(paramodulation,[status(thm)],[f530,f801]) ).
fof(f860,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(not(and(X0,X1)),X2),or(X2,X0))) ),
inference(resolution,[status(thm)],[f855,f746]) ).
fof(f861,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(and(X0,X1)),X2),implies(X2,X0))) ),
inference(resolution,[status(thm)],[f855,f730]) ).
fof(f862,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(X0,X1)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f855,f570]) ).
fof(f863,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(or(X0,not(and(X0,X1))),or(X0,not(and(X0,X1))))) ),
inference(resolution,[status(thm)],[f855,f571]) ).
fof(f864,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),not(and(and(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f567,f855]) ).
fof(f865,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f475,f855]) ).
fof(f866,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),not(equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f569,f855]) ).
fof(f867,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(X1)),not(equiv(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f568,f855]) ).
fof(f868,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),not(equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f489,f855]) ).
fof(f869,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(and(X0,X1),X2),or(X2,X0))) ),
inference(forward_demodulation,[status(thm)],[f530,f860]) ).
fof(f870,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),or(X2,X0))) ),
inference(resolution,[status(thm)],[f865,f746]) ).
fof(f871,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,X1),X2),implies(X2,X0))) ),
inference(resolution,[status(thm)],[f865,f730]) ).
fof(f872,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f865,f570]) ).
fof(f873,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(or(X0,implies(X0,X1)),or(X0,implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f865,f571]) ).
fof(f874,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X0,not(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f567,f865]) ).
fof(f875,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(not(X0),or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f530,f865]) ).
fof(f877,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(implies(implies(not(X0),X1),or(X1,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f856,f746]) ).
fof(f878,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(and(not(X0),X1),implies(X1,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f856,f730]) ).
fof(f879,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(X0))
| ~ is_a_theorem(not(and(X0,X0))) ),
inference(resolution,[status(thm)],[f856,f570]) ).
fof(f880,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(and(X0,X0),not(X0)),or(and(X0,X0),not(X0)))) ),
inference(resolution,[status(thm)],[f856,f571]) ).
fof(f881,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(implies(not(X0),X0),not(not(X0)))) ),
inference(paramodulation,[status(thm)],[f567,f856]) ).
fof(f883,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(and(and(X0,not(X1)),and(X0,not(X1))),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f475,f856]) ).
fof(f884,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(implies(or(X0,X1),or(X1,and(X0,X0)))) ),
inference(forward_demodulation,[status(thm)],[f530,f877]) ).
fof(f885,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(or(X0,X0),not(not(X0)))) ),
inference(forward_demodulation,[status(thm)],[f530,f881]) ).
fof(f886,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(equiv(X0,X1),not(and(implies(X1,X0),X2))),not(implies(X2,implies(X0,X1))))) ),
inference(resolution,[status(thm)],[f722,f801]) ).
fof(f887,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| is_a_theorem(or(and(or(equiv(X0,X1),not(and(implies(X1,X0),X2))),X3),not(and(X3,implies(X2,implies(X0,X1)))))) ),
inference(resolution,[status(thm)],[f722,f715]) ).
fof(f888,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(equiv(X1,X2),not(and(implies(X2,X1),X0))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f722,f172]) ).
fof(f889,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(X0,implies(X1,X2)),or(equiv(X1,X2),not(and(implies(X2,X1),X0)))),implies(implies(X0,implies(X1,X2)),or(equiv(X1,X2),not(and(implies(X2,X1),X0)))))) ),
inference(resolution,[status(thm)],[f722,f571]) ).
fof(f892,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(X0,not(and(X1,implies(X2,X3)))),or(equiv(X1,and(X2,not(X3))),not(and(implies(and(X2,not(X3)),X1),X0))))) ),
inference(paramodulation,[status(thm)],[f566,f722]) ).
fof(f894,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(or(X0,X1),implies(not(X0),X1)),or(equiv(not(X0),X1),not(equiv(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f568,f722]) ).
fof(f895,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(implies(implies(X0,X1),implies(X0,X1)),or(equiv(X0,X1),not(equiv(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f489,f722]) ).
fof(f897,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(X0,implies(and(X1,not(X2)),X3)),or(equiv(and(X1,not(X2)),X3),not(and(not(and(X3,implies(X1,X2))),X0))))) ),
inference(paramodulation,[status(thm)],[f566,f722]) ).
fof(f900,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(or(X0,X1),or(X0,X1)),or(equiv(not(X0),X1),not(equiv(X1,not(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f530,f894]) ).
fof(f901,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(and(and(X0,not(X1)),X2),implies(X0,X1)),X3)) ),
inference(resolution,[status(thm)],[f872,f617]) ).
fof(f902,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(X0,not(X1)),X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f475,f872]) ).
fof(f903,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),or(X2,not(X0)))) ),
inference(resolution,[status(thm)],[f875,f746]) ).
fof(f904,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,X1),X2),implies(X2,not(X0)))) ),
inference(resolution,[status(thm)],[f875,f730]) ).
fof(f905,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(not(not(X0))) ),
inference(resolution,[status(thm)],[f875,f570]) ).
fof(f906,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| is_a_theorem(and(or(not(X0),or(X0,X1)),or(not(X0),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f875,f571]) ).
fof(f911,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(and(and(and(X0,not(X1)),X2),implies(X0,X1)),X3))) ),
inference(resolution,[status(thm)],[f862,f617]) ).
fof(f912,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(and(X0,not(X1)),X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f475,f862]) ).
fof(f913,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(X0)))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(paramodulation,[status(thm)],[f475,f879]) ).
fof(f914,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(implies(X0,X0)))
| ~ is_a_theorem(not(equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f489,f879]) ).
fof(f915,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(X0)))
| ~ is_a_theorem(or(X0,X0)) ),
inference(forward_demodulation,[status(thm)],[f530,f913]) ).
fof(f916,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(not(X0)),not(or(X0,X0)))) ),
inference(resolution,[status(thm)],[f885,f801]) ).
fof(f917,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(and(not(not(X0)),X1),not(and(X1,or(X0,X0))))) ),
inference(resolution,[status(thm)],[f885,f715]) ).
fof(f919,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(or(X0,X0),not(not(X0))),implies(or(X0,X0),not(not(X0))))) ),
inference(resolution,[status(thm)],[f885,f571]) ).
fof(f928,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(and(X0,implies(X1,X2)),not(equiv(X1,X2))),not(implies(implies(X2,X1),X0)))) ),
inference(resolution,[status(thm)],[f726,f801]) ).
fof(f929,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| is_a_theorem(or(and(or(and(X0,implies(X1,X2)),not(equiv(X1,X2))),X3),not(and(X3,implies(implies(X2,X1),X0))))) ),
inference(resolution,[status(thm)],[f726,f715]) ).
fof(f930,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(and(X2,implies(X1,X0)),not(equiv(X1,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f726,f172]) ).
fof(f931,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(implies(implies(implies(X0,X1),X2),or(and(X2,implies(X1,X0)),not(equiv(X1,X0)))),implies(implies(implies(X0,X1),X2),or(and(X2,implies(X1,X0)),not(equiv(X1,X0)))))) ),
inference(resolution,[status(thm)],[f726,f571]) ).
fof(f932,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(implies(not(and(implies(X0,X1),implies(X2,X3))),or(and(and(X2,not(X3)),implies(X1,X0)),not(equiv(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f566,f726]) ).
fof(f934,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(not(and(X0,implies(X1,X2))),X3),or(and(X3,implies(and(X1,not(X2)),X0)),not(equiv(and(X1,not(X2)),X0))))) ),
inference(paramodulation,[status(thm)],[f566,f726]) ).
fof(f938,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(implies(and(X0,not(X1)),X2),X3),or(and(X3,not(and(X2,implies(X0,X1)))),not(equiv(X2,and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f566,f726]) ).
fof(f939,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(or(and(implies(X0,X1),implies(X2,X3)),or(and(and(X2,not(X3)),implies(X1,X0)),not(equiv(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f530,f932]) ).
fof(f940,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),X3),or(and(X3,implies(and(X1,not(X2)),X0)),not(equiv(and(X1,not(X2)),X0))))) ),
inference(forward_demodulation,[status(thm)],[f530,f934]) ).
fof(f942,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(implies(and(X0,not(X1)),X2),X3),implies(implies(X3,and(X2,implies(X0,X1))),not(equiv(X2,and(X0,not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f567,f938]) ).
fof(f948,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ40_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(not(equiv(X0,X1)),X2),or(X2,implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f850,f746]) ).
fof(f949,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ40_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(equiv(X0,X1)),X2),implies(X2,implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f850,f730]) ).
fof(f950,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ40_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(equiv(X0,X1)))
| ~ is_a_theorem(not(implies(X0,X1))) ),
inference(resolution,[status(thm)],[f850,f570]) ).
fof(f951,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ40_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,X1),not(equiv(X0,X1))),or(implies(X0,X1),not(equiv(X0,X1))))) ),
inference(resolution,[status(thm)],[f850,f571]) ).
fof(f953,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,implies(X1,X2))),not(equiv(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f566,f850]) ).
fof(f954,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ40_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(equiv(X0,X1),X2),or(X2,implies(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f530,f948]) ).
fof(f955,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(implies(implies(not(implies(X0,X0)),X1),or(X1,equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f854,f746]) ).
fof(f956,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(and(not(implies(X0,X0)),X1),implies(X1,equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f854,f730]) ).
fof(f958,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(equiv(X0,X0),not(implies(X0,X0))),or(equiv(X0,X0),not(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f854,f571]) ).
fof(f960,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(equiv(and(X0,not(X1)),and(X0,not(X1))),not(not(and(and(X0,not(X1)),implies(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f566,f854]) ).
fof(f961,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(implies(or(implies(X0,X0),X1),or(X1,equiv(X0,X0)))) ),
inference(forward_demodulation,[status(thm)],[f530,f955]) ).
fof(f962,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),not(or(and(X1,X2),X0)))) ),
inference(resolution,[status(thm)],[f869,f801]) ).
fof(f963,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,X1),X2),not(and(X2,or(and(X1,X3),X0))))) ),
inference(resolution,[status(thm)],[f869,f715]) ).
fof(f964,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,X0))
| ~ is_a_theorem(or(and(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f869,f172]) ).
fof(f965,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(or(and(X0,X1),X2),or(X2,X0)),implies(or(and(X0,X1),X2),or(X2,X0)))) ),
inference(resolution,[status(thm)],[f869,f571]) ).
fof(f967,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(equiv(not(X0),X1),X2),or(X2,or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f569,f869]) ).
fof(f968,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(equiv(X0,not(X1)),X2),or(X2,implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f568,f869]) ).
fof(f969,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(equiv(X0,X1),X2),or(X2,implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f489,f869]) ).
fof(f970,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(and(X0,X1),and(X2,not(X3))),implies(implies(X2,X3),X0))) ),
inference(paramodulation,[status(thm)],[f567,f869]) ).
fof(f972,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(and(implies(implies(X0,X0),equiv(X0,X0)),implies(implies(X0,X0),equiv(X0,X0))),and(implies(implies(X0,X0),equiv(X0,X0)),implies(implies(X0,X0),equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f581,f571]) ).
fof(f974,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(not(and(and(X0,not(X1)),implies(X0,X1))),equiv(and(X0,not(X1)),and(X0,not(X1)))),implies(implies(and(X0,not(X1)),and(X0,not(X1))),equiv(and(X0,not(X1)),and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f566,f581]) ).
fof(f976,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(implies(and(X0,not(X1)),and(X0,not(X1))),equiv(and(X0,not(X1)),and(X0,not(X1)))),implies(not(and(and(X0,not(X1)),implies(X0,X1))),equiv(and(X0,not(X1)),and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f566,f581]) ).
fof(f978,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| is_a_theorem(and(or(and(and(X0,not(X1)),implies(X0,X1)),equiv(and(X0,not(X1)),and(X0,not(X1)))),implies(implies(and(X0,not(X1)),and(X0,not(X1))),equiv(and(X0,not(X1)),and(X0,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f530,f974]) ).
fof(f979,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| is_a_theorem(and(or(and(and(X0,not(X1)),implies(X0,X1)),equiv(and(X0,not(X1)),and(X0,not(X1)))),implies(not(and(and(X0,not(X1)),implies(X0,X1))),equiv(and(X0,not(X1)),and(X0,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f566,f978]) ).
fof(f980,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| is_a_theorem(and(or(and(and(X0,not(X1)),implies(X0,X1)),equiv(and(X0,not(X1)),and(X0,not(X1)))),or(and(and(X0,not(X1)),implies(X0,X1)),equiv(and(X0,not(X1)),and(X0,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f530,f979]) ).
fof(f982,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(not(and(and(X0,not(X1)),implies(X0,X1))),equiv(and(X0,not(X1)),and(X0,not(X1)))),implies(not(and(and(X0,not(X1)),implies(X0,X1))),equiv(and(X0,not(X1)),and(X0,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f566,f976]) ).
fof(f985,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),not(implies(implies(X1,X2),X0)))) ),
inference(resolution,[status(thm)],[f870,f801]) ).
fof(f986,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,X1),X2),not(and(X2,implies(implies(X1,X3),X0))))) ),
inference(resolution,[status(thm)],[f870,f715]) ).
fof(f987,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,X0))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f870,f172]) ).
fof(f988,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(implies(implies(X0,X1),X2),or(X2,X0)),implies(implies(implies(X0,X1),X2),or(X2,X0)))) ),
inference(resolution,[status(thm)],[f870,f571]) ).
fof(f998,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),or(X2,and(implies(X1,X3),X0)))) ),
inference(resolution,[status(thm)],[f871,f746]) ).
fof(f999,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,X1),X2),implies(X2,and(implies(X1,X3),X0)))) ),
inference(resolution,[status(thm)],[f871,f730]) ).
fof(f1000,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(not(and(implies(X0,X1),X2))) ),
inference(resolution,[status(thm)],[f871,f570]) ).
fof(f1001,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(and(implies(X0,X1),X2),implies(X2,X0)),or(and(implies(X0,X1),X2),implies(X2,X0)))) ),
inference(resolution,[status(thm)],[f871,f571]) ).
fof(f1003,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(or(X1,X0),X0))) ),
inference(paramodulation,[status(thm)],[f568,f871]) ).
fof(f1004,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(X0,X1),implies(implies(X1,X0),X0))) ),
inference(paramodulation,[status(thm)],[f489,f871]) ).
fof(f1008,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(and(X0,not(X1)),X2),X3),not(and(X3,implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f566,f871]) ).
fof(f1011,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,and(X1,X1)),not(or(X1,X0)))) ),
inference(resolution,[status(thm)],[f884,f801]) ).
fof(f1012,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(and(or(X0,and(X1,X1)),X2),not(and(X2,or(X1,X0))))) ),
inference(resolution,[status(thm)],[f884,f715]) ).
fof(f1013,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(X1,and(X0,X0)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f884,f172]) ).
fof(f1014,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(or(X0,X1),or(X1,and(X0,X0))),implies(or(X0,X1),or(X1,and(X0,X0))))) ),
inference(resolution,[status(thm)],[f884,f571]) ).
fof(f1015,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),or(X2,and(and(X0,not(X1)),and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f567,f884]) ).
fof(f1016,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(implies(or(X0,and(X1,not(X2))),implies(implies(X1,X2),and(X0,X0)))) ),
inference(paramodulation,[status(thm)],[f567,f884]) ).
fof(f1018,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(not(or(X0,X0)),X1),or(X1,not(not(X0))))) ),
inference(resolution,[status(thm)],[f916,f746]) ).
fof(f1019,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(or(X0,X0)),X1),implies(X1,not(not(X0))))) ),
inference(resolution,[status(thm)],[f916,f730]) ).
fof(f1020,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(or(X0,X0)))
| ~ is_a_theorem(not(not(not(X0)))) ),
inference(resolution,[status(thm)],[f916,f570]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(not(X0)),not(or(X0,X0))),or(not(not(X0)),not(or(X0,X0))))) ),
inference(resolution,[status(thm)],[f916,f571]) ).
fof(f1022,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(implies(X0,X1)),not(or(and(X0,not(X1)),and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f475,f916]) ).
fof(f1024,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(or(X0,X0),X1),or(X1,not(not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f530,f1018]) ).
fof(f1025,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(implies(X0,X1)),not(implies(implies(X0,X1),and(X0,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f567,f1022]) ).
fof(f1026,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(implies(X0,X1)),not(not(and(implies(X0,X1),implies(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f566,f1025]) ).
fof(f1029,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f964,f871]) ).
fof(f1030,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(implies(X0,X1),and(not(X1),not(X1)))) ),
inference(resolution,[status(thm)],[f964,f743]) ).
fof(f1032,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(X1)),X1)) ),
inference(resolution,[status(thm)],[f964,f796]) ).
fof(f1033,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(and(X0,X1),X2),X0)) ),
inference(resolution,[status(thm)],[f964,f865]) ).
fof(f1034,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(and(X0,X1),X2)),X0)) ),
inference(resolution,[status(thm)],[f964,f855]) ).
fof(f1035,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(and(not(and(X0,X1)),not(and(X0,X1))),X0)) ),
inference(resolution,[status(thm)],[f964,f572]) ).
fof(f1037,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,or(X0,X1)))
| ~ is_a_theorem(or(equiv(not(X0),X1),X2)) ),
inference(paramodulation,[status(thm)],[f569,f964]) ).
fof(f1039,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,implies(X0,X1)))
| ~ is_a_theorem(or(equiv(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f489,f964]) ).
fof(f1040,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(implies(not(and(X0,X1)),and(X0,X1)),X0)) ),
inference(forward_demodulation,[status(thm)],[f567,f1035]) ).
fof(f1041,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(or(and(X0,X1),and(X0,X1)),X0)) ),
inference(forward_demodulation,[status(thm)],[f530,f1040]) ).
fof(f1043,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ40_spl
| is_a_theorem(and(and(implies(equiv(X0,X1),implies(X0,X1)),implies(equiv(X0,X1),implies(X0,X1))),and(implies(equiv(X0,X1),implies(X0,X1)),implies(equiv(X0,X1),implies(X0,X1))))) ),
inference(resolution,[status(thm)],[f584,f571]) ).
fof(f1045,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2)))),implies(equiv(X0,and(X1,not(X2))),implies(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f566,f584]) ).
fof(f1049,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ40_spl
| is_a_theorem(and(implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2)))),implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f566,f1045]) ).
fof(f1052,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),or(X1,implies(X2,not(X0))))) ),
inference(resolution,[status(thm)],[f1032,f746]) ).
fof(f1053,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,implies(X2,not(X0))))) ),
inference(resolution,[status(thm)],[f1032,f730]) ).
fof(f1054,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(X0,not(X1)))) ),
inference(resolution,[status(thm)],[f1032,f570]) ).
fof(f1055,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,not(X1)),X1),or(implies(X0,not(X1)),X1))) ),
inference(resolution,[status(thm)],[f1032,f571]) ).
fof(f1056,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(X1)),X1)) ),
inference(paramodulation,[status(thm)],[f530,f1032]) ).
fof(f1057,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,implies(X1,X2)),and(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f475,f1032]) ).
fof(f1058,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),or(X1,or(X2,not(X0))))) ),
inference(resolution,[status(thm)],[f1056,f746]) ).
fof(f1059,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,or(X2,not(X0))))) ),
inference(resolution,[status(thm)],[f1056,f730]) ).
fof(f1060,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(or(X0,not(X1)))) ),
inference(resolution,[status(thm)],[f1056,f570]) ).
fof(f1061,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(or(X0,not(X1)),X1),or(or(X0,not(X1)),X1))) ),
inference(resolution,[status(thm)],[f1056,f571]) ).
fof(f1063,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,implies(X1,X2)),and(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f475,f1056]) ).
fof(f1064,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f1029,f915]) ).
fof(f1065,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),or(X2,implies(X3,X0)))) ),
inference(resolution,[status(thm)],[f1029,f746]) ).
fof(f1066,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,X1),X2),implies(X2,implies(X3,X0)))) ),
inference(resolution,[status(thm)],[f1029,f730]) ).
fof(f1067,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(not(implies(X0,X1))) ),
inference(resolution,[status(thm)],[f1029,f570]) ).
fof(f1068,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,X1),implies(X1,X2)),or(implies(X0,X1),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1029,f571]) ).
fof(f1069,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f530,f1029]) ).
fof(f1070,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,implies(X1,X2))),implies(and(X1,not(X2)),X3))) ),
inference(paramodulation,[status(thm)],[f566,f1029]) ).
fof(f1071,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(X1)),or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f530,f1029]) ).
fof(f1072,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),not(and(X1,implies(X2,X3))))) ),
inference(paramodulation,[status(thm)],[f566,f1029]) ).
fof(f1073,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f1064,f905]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1064,f797]) ).
fof(f1075,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(implies(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f1064,f862]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(not(not(implies(X0,X0))),not(not(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f1064,f571]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(or(X0,not(X0))))) ),
inference(paramodulation,[status(thm)],[f530,f1064]) ).
fof(f1079,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(not(and(and(X0,not(X1)),implies(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f566,f1064]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f580,f1074]) ).
fof(f1082,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(and(not(X0),not(X0)),X0)) ),
inference(resolution,[status(thm)],[f1074,f775]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(resolution,[status(thm)],[f1074,f801]) ).
fof(f1084,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),not(and(X1,X0)))) ),
inference(resolution,[status(thm)],[f1074,f715]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f1074,f571]) ).
fof(f1088,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(not(and(and(X0,not(X1)),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f566,f1074]) ).
fof(f1089,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(implies(not(X0),X0),X0)) ),
inference(forward_demodulation,[status(thm)],[f567,f1082]) ).
fof(f1090,plain,
( sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f552,f1092]) ).
fof(f1091,plain,
( sQ66_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f414,f1092]) ).
fof(f1092,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(or(X0,X0),X0)) ),
inference(forward_demodulation,[status(thm)],[f530,f1089]) ).
fof(f1094,plain,
( sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1090]) ).
fof(f1095,plain,
( sQ66_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1091]) ).
fof(f1096,plain,
( ~ sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(sK43_skl,sK43_skl),sK43_skl)) ),
inference(forward_demodulation,[status(thm)],[f530,f402]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| is_a_theorem(and(equiv(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f1080,f571]) ).
fof(f1101,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,X1)),X0)) ),
inference(resolution,[status(thm)],[f1083,f964]) ).
fof(f1102,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(not(X0),X1),or(X1,X0))) ),
inference(resolution,[status(thm)],[f1083,f746]) ).
fof(f1103,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(X0),X1),implies(X1,X0))) ),
inference(resolution,[status(thm)],[f1083,f730]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f1083,f571]) ).
fof(f1108,plain,
( sQ71_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f433,f1109]) ).
fof(f1109,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(forward_demodulation,[status(thm)],[f530,f1102]) ).
fof(f1113,plain,
( sQ71_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1108]) ).
fof(f1115,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1073,f746]) ).
fof(f1116,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1073,f730]) ).
fof(f1117,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(X0,X0))) ),
inference(resolution,[status(thm)],[f1073,f570]) ).
fof(f1118,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| is_a_theorem(and(or(implies(X0,X0),X1),or(implies(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f1073,f571]) ).
fof(f1119,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(X0)),X1)) ),
inference(paramodulation,[status(thm)],[f530,f1073]) ).
fof(f1120,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(and(X0,not(X1)),implies(X0,X1))),X2)) ),
inference(paramodulation,[status(thm)],[f566,f1073]) ).
fof(f1121,definition,
! [X0] :
( sQ88_spl
<=> ~ is_a_theorem(not(implies(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ88_spl
| ~ is_a_theorem(not(implies(X0,X0))) ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,definition,
! [X1] :
( sQ89_spl
<=> is_a_theorem(X1) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1125,plain,
! [X0] :
( ~ sQ89_spl
| is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1127,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1117,f1121,f1124,f348,f367,f249,f171,f474,f460]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ88_spl
| ~ is_a_theorem(not(equiv(X0,X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f914,f1122]) ).
fof(f1130,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(and(or(X0,and(not(X0),not(X0))),or(X0,and(not(X0),not(X0)))),and(or(X0,and(not(X0),not(X0))),or(X0,and(not(X0),not(X0)))))) ),
inference(resolution,[status(thm)],[f587,f571]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ88_spl
| ~ is_a_theorem(not(or(X0,not(X0)))) ),
inference(paramodulation,[status(thm)],[f530,f1122]) ).
fof(f1196,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ88_spl
| ~ is_a_theorem(not(not(and(and(X0,not(X1)),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f566,f1122]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(or(X0,X0)))) ),
inference(resolution,[status(thm)],[f1092,f801]) ).
fof(f1198,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(and(X0,X1),not(and(X1,or(X0,X0))))) ),
inference(resolution,[status(thm)],[f1092,f715]) ).
fof(f1199,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(X0)
| ~ is_a_theorem(or(X0,X0)) ),
inference(resolution,[status(thm)],[f1092,f172]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(or(X0,X0),X0),implies(or(X0,X0),X0))) ),
inference(resolution,[status(thm)],[f1092,f571]) ).
fof(f1201,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(and(or(and(X0,not(X1)),and(X0,not(X1))),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f566,f1092]) ).
fof(f1203,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(and(implies(implies(X0,X1),and(X0,not(X1))),implies(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f567,f1201]) ).
fof(f1204,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(and(not(and(implies(X0,X1),implies(X0,X1))),implies(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f566,f1203]) ).
fof(f1205,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(and(implies(X0,X1),implies(X0,X1)),and(X0,not(X1)))) ),
inference(forward_demodulation,[status(thm)],[f615,f1204]) ).
fof(f1211,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(X0,not(X1)))
| ~ is_a_theorem(implies(implies(X0,X1),and(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f567,f1199]) ).
fof(f1212,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(X0,not(X1)))
| ~ is_a_theorem(not(and(implies(X0,X1),implies(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f566,f1211]) ).
fof(f1218,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(and(and(implies(equiv(not(X0),X1),or(X0,X1)),implies(equiv(not(X0),X1),or(X0,X1))),and(implies(equiv(not(X0),X1),or(X0,X1)),implies(equiv(not(X0),X1),or(X0,X1))))) ),
inference(resolution,[status(thm)],[f598,f571]) ).
fof(f1235,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),or(X1,not(and(X0,X2))))) ),
inference(resolution,[status(thm)],[f1101,f746]) ).
fof(f1236,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,not(and(X0,X2))))) ),
inference(resolution,[status(thm)],[f1101,f730]) ).
fof(f1237,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(not(and(X0,X1)))) ),
inference(resolution,[status(thm)],[f1101,f570]) ).
fof(f1238,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(and(X0,X1)),X0),or(not(and(X0,X1)),X0))) ),
inference(resolution,[status(thm)],[f1101,f571]) ).
fof(f1239,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),X0)) ),
inference(paramodulation,[status(thm)],[f475,f1101]) ).
fof(f1240,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(equiv(not(X0),X1)),or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f569,f1101]) ).
fof(f1242,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(equiv(X0,X1)),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f489,f1101]) ).
fof(f1243,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),or(X1,implies(X0,X2)))) ),
inference(resolution,[status(thm)],[f1239,f746]) ).
fof(f1244,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,implies(X0,X2)))) ),
inference(resolution,[status(thm)],[f1239,f730]) ).
fof(f1245,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(implies(X0,X1))) ),
inference(resolution,[status(thm)],[f1239,f570]) ).
fof(f1246,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,X1),X0),or(implies(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f1239,f571]) ).
fof(f1247,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),not(X0))) ),
inference(paramodulation,[status(thm)],[f530,f1239]) ).
fof(f1251,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),or(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1119,f746]) ).
fof(f1252,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1119,f730]) ).
fof(f1253,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f1119,f570]) ).
fof(f1254,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| is_a_theorem(and(or(or(X0,not(X0)),X1),or(or(X0,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f1119,f571]) ).
fof(f1257,definition,
! [X0] :
( sQ90_spl
<=> ~ is_a_theorem(not(or(X0,not(X0)))) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ90_spl
| ~ is_a_theorem(not(or(X0,not(X0)))) ),
inference(component_clause,[status(thm)],[f1257]) ).
fof(f1260,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| sQ89_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1253,f1257,f1124,f348,f367,f249,f171,f474,f460]) ).
fof(f1263,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ sQ89_spl
| X0 = X1 ),
inference(backward_subsumption_resolution,[status(thm)],[f191,f1125]) ).
fof(f1264,plain,
( sQ29_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f277,f1125]) ).
fof(f1265,plain,
( sQ44_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f332,f1125]) ).
fof(f1266,plain,
( sQ68_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f422,f1125]) ).
fof(f1267,plain,
( sQ35_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f299,f1125]) ).
fof(f1268,plain,
( sQ14_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f222,f1125]) ).
fof(f1269,plain,
( sQ26_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f266,f1125]) ).
fof(f1270,plain,
( sQ32_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f288,f1125]) ).
fof(f1271,plain,
( sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f553,f1125]) ).
fof(f1272,plain,
( sQ11_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f561,f1125]) ).
fof(f1273,plain,
( sQ74_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f444,f1125]) ).
fof(f1274,plain,
( sQ57_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f381,f1125]) ).
fof(f1275,plain,
( sQ20_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f244,f1125]) ).
fof(f1276,plain,
( sQ17_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f233,f1125]) ).
fof(f1277,plain,
( sQ38_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f310,f1125]) ).
fof(f1278,plain,
( sQ47_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f343,f1125]) ).
fof(f1279,plain,
( sQ77_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f455,f1125]) ).
fof(f1280,plain,
( sQ29_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1264]) ).
fof(f1283,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(resolution,[status(thm)],[f316,f172]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f571,f1083]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f571,f1074]) ).
fof(f1327,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(or(X0,X1),not(X0)),or(or(X0,X1),not(X0)))) ),
inference(resolution,[status(thm)],[f1247,f571]) ).
fof(f1328,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,not(or(X0,X0))),or(X0,not(or(X0,X0))))) ),
inference(resolution,[status(thm)],[f1197,f571]) ).
fof(f1329,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(X0))
| ~ is_a_theorem(not(or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f530,f1245]) ).
fof(f1335,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(equiv(X0,X0))
| ~ is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f573,f172]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(not(not(or(X0,not(X0)))),not(not(or(X0,not(X0)))))) ),
inference(resolution,[status(thm)],[f1078,f571]) ).
fof(f1342,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(or(implies(and(X0,X1),X2),X0),or(implies(and(X0,X1),X2),X0))) ),
inference(resolution,[status(thm)],[f1033,f571]) ).
fof(f1343,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(or(X0,X1),implies(X1,X2)),or(or(X0,X1),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1069,f571]) ).
fof(f1344,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(X1)),or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f530,f1069]) ).
fof(f1346,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| is_a_theorem(and(and(equiv(X0,X0),equiv(X0,X0)),and(equiv(X0,X0),equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f1100,f571]) ).
fof(f1347,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f1109,f172]) ).
fof(f1348,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(or(X0,X1),or(X1,X0)),implies(or(X0,X1),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f1109,f571]) ).
fof(f1373,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(not(X0),and(X0,X0))) ),
inference(resolution,[status(thm)],[f1347,f856]) ).
fof(f1374,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(resolution,[status(thm)],[f1347,f1056]) ).
fof(f1375,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f1347,f1119]) ).
fof(f1376,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),or(X2,X0))) ),
inference(resolution,[status(thm)],[f1347,f1069]) ).
fof(f1378,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(and(X0,X1),X2))) ),
inference(resolution,[status(thm)],[f1347,f1033]) ).
fof(f1379,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,not(X0)))) ),
inference(resolution,[status(thm)],[f1347,f1032]) ).
fof(f1380,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),implies(X2,X0))) ),
inference(resolution,[status(thm)],[f1347,f1029]) ).
fof(f1381,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f1347,f1073]) ).
fof(f1387,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(or(X0,X0)),X0)) ),
inference(resolution,[status(thm)],[f1347,f1197]) ).
fof(f1392,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| is_a_theorem(and(or(X0,implies(X1,X1)),or(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f1381,f571]) ).
fof(f1395,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(X0),and(X0,X0)),or(not(X0),and(X0,X0)))) ),
inference(resolution,[status(thm)],[f1373,f571]) ).
fof(f1396,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(implies(X0,X1),and(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f475,f1373]) ).
fof(f1398,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,or(X1,not(X0))),or(X0,or(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f1374,f571]) ).
fof(f1399,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,not(X1)),or(X2,implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f475,f1374]) ).
fof(f1400,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),or(X2,implies(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f567,f1399]) ).
fof(f1403,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| is_a_theorem(and(or(X0,or(X1,not(X1))),or(X0,or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f1375,f571]) ).
fof(f1407,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X0,implies(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f1379,f571]) ).
fof(f1409,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,not(X1)),implies(X2,implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f475,f1379]) ).
fof(f1410,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f567,f1409]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(or(X0,X0)),X0),or(not(or(X0,X0)),X0))) ),
inference(resolution,[status(thm)],[f1387,f571]) ).
fof(f1414,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,X1),or(X2,X0)),or(implies(X0,X1),or(X2,X0)))) ),
inference(resolution,[status(thm)],[f1376,f571]) ).
fof(f1415,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),or(X2,not(X0)))) ),
inference(paramodulation,[status(thm)],[f530,f1376]) ).
fof(f1417,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(or(X0,implies(and(X0,X1),X2)),or(X0,implies(and(X0,X1),X2)))) ),
inference(resolution,[status(thm)],[f1378,f571]) ).
fof(f1420,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,X1),implies(X2,X0)),or(implies(X0,X1),implies(X2,X0)))) ),
inference(resolution,[status(thm)],[f1380,f571]) ).
fof(f1421,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),implies(X2,not(X0)))) ),
inference(paramodulation,[status(thm)],[f530,f1380]) ).
fof(f1429,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(and(not(or(X0,not(X0))),X1))) ),
inference(resolution,[status(thm)],[f862,f1078]) ).
fof(f1457,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(and(not(implies(X0,X0)),X1),X2))) ),
inference(resolution,[status(thm)],[f1075,f862]) ).
fof(f1458,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(not(implies(X0,X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f1075,f872]) ).
fof(f1459,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| is_a_theorem(and(not(and(not(implies(X0,X0)),X1)),not(and(not(implies(X0,X0)),X1)))) ),
inference(resolution,[status(thm)],[f1075,f571]) ).
fof(f1464,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(and(X1,not(X2)))
| ~ is_a_theorem(not(or(X0,implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f475,f1060]) ).
fof(f1466,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(and(X1,not(X2)))
| ~ is_a_theorem(not(implies(X0,implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f475,f1054]) ).
fof(f1469,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),not(or(X1,X0)))) ),
inference(resolution,[status(thm)],[f801,f1109]) ).
fof(f1478,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ40_spl
| is_a_theorem(or(and(X0,not(X1)),X2))
| ~ is_a_theorem(equiv(implies(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f475,f597]) ).
fof(f1479,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ40_spl
| is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(equiv(implies(X0,X1),X2)) ),
inference(forward_demodulation,[status(thm)],[f567,f1478]) ).
fof(f1483,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(not(or(X0,X1))) ),
inference(resolution,[status(thm)],[f570,f1069]) ).
fof(f1485,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(implies(and(X0,X1),X2))) ),
inference(resolution,[status(thm)],[f570,f1033]) ).
fof(f1487,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,X0))
| ~ is_a_theorem(not(implies(X0,X1))) ),
inference(resolution,[status(thm)],[f570,f1376]) ).
fof(f1488,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(not(implies(X0,X1))) ),
inference(resolution,[status(thm)],[f570,f1380]) ).
fof(f1492,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(not(or(X0,X0)))) ),
inference(resolution,[status(thm)],[f570,f1387]) ).
fof(f1494,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(X0,X0))
| ~ is_a_theorem(not(not(X0))) ),
inference(resolution,[status(thm)],[f570,f1373]) ).
fof(f1498,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,not(X1)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f570,f1375]) ).
fof(f1499,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,not(X0)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f570,f1374]) ).
fof(f1500,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(X0,X1),X2))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f570,f1378]) ).
fof(f1501,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f570,f1379]) ).
fof(f1502,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f570,f1381]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(or(X0,X0)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f570,f1197]) ).
fof(f1509,definition,
! [X0] :
( sQ91_spl
<=> ~ is_a_theorem(not(X0)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1510,plain,
! [X0] :
( ~ sQ91_spl
| ~ is_a_theorem(not(X0)) ),
inference(component_clause,[status(thm)],[f1509]) ).
fof(f1512,definition,
! [X1] :
( sQ92_spl
<=> is_a_theorem(or(X1,not(X1))) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1513,plain,
! [X0] :
( ~ sQ92_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(component_clause,[status(thm)],[f1512]) ).
fof(f1515,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| sQ92_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f1498,f1509,f1512,f348,f367,f249,f171,f474,f460]) ).
fof(f1516,definition,
! [X1] :
( sQ93_spl
<=> is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1517,plain,
! [X0] :
( ~ sQ93_spl
| is_a_theorem(implies(X0,X0)) ),
inference(component_clause,[status(thm)],[f1516]) ).
fof(f1519,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| sQ93_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f1502,f1509,f1516,f348,f367,f249,f171,f474,f460]) ).
fof(f1520,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ91_spl
| ~ is_a_theorem(or(X0,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f915,f1510]) ).
fof(f1521,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ91_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1075,f1510]) ).
fof(f1522,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ91_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1078,f1510]) ).
fof(f1523,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ91_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1064,f1510]) ).
fof(f1524,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ91_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1429,f1510]) ).
fof(f1525,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ91_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1457,f1510]) ).
fof(f1526,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ91_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f709,f1510]) ).
fof(f1527,plain,
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ91_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f911,f1510]) ).
fof(f1528,plain,
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ91_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f617,f1510]) ).
fof(f1529,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ91_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1088,f1510]) ).
fof(f1530,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ91_spl
| ~ is_a_theorem(implies(X0,X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f912,f1510]) ).
fof(f1531,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ91_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1079,f1510]) ).
fof(f1532,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f1521]) ).
fof(f1568,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(not(not(equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f489,f1237]) ).
fof(f1570,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),implies(equiv(X0,X1),X2))) ),
inference(paramodulation,[status(thm)],[f489,f1378]) ).
fof(f1571,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(not(implies(X0,X0)),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f489,f1373]) ).
fof(f1572,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(equiv(X0,X1),X2),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f489,f1033]) ).
fof(f1573,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),not(equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f489,f855]) ).
fof(f1577,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f489,f250]) ).
fof(f1584,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f1494,f1078]) ).
fof(f1585,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f1494,f1064]) ).
fof(f1586,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(and(X0,not(X1)),and(X0,not(X1))))
| ~ is_a_theorem(not(implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f475,f1494]) ).
fof(f1589,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(or(not(or(X0,not(X0))),not(or(X0,not(X0)))))) ),
inference(resolution,[status(thm)],[f1504,f1078]) ).
fof(f1590,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(or(not(implies(X0,X0)),not(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f1504,f1064]) ).
fof(f1591,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(or(and(X0,not(X1)),and(X0,not(X1)))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f475,f1504]) ).
fof(f1592,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(implies(implies(X0,X1),and(X0,not(X1)))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f567,f1591]) ).
fof(f1593,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(not(and(implies(X0,X1),implies(X0,X1)))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f566,f1592]) ).
fof(f1594,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(not(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f1501,f1078]) ).
fof(f1595,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(not(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f1501,f1064]) ).
fof(f1596,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X2,not(and(X0,not(X1)))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f475,f1501]) ).
fof(f1597,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f475,f1596]) ).
fof(f1600,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,X1),X2),not(and(X2,or(X1,X0))))) ),
inference(resolution,[status(thm)],[f715,f1109]) ).
fof(f1609,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,not(not(or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f1499,f1078]) ).
fof(f1610,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,not(not(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f1499,f1064]) ).
fof(f1611,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,not(and(X0,not(X1)))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f475,f1499]) ).
fof(f1612,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f475,f1611]) ).
fof(f1620,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(and(not(implies(X1,X1)),X2)))) ),
inference(resolution,[status(thm)],[f1075,f1499]) ).
fof(f1621,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,not(and(not(implies(X1,X1)),X2)))) ),
inference(resolution,[status(thm)],[f1075,f1501]) ).
fof(f1622,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(or(and(not(implies(X0,X0)),X1),and(not(implies(X0,X0)),X1)))) ),
inference(resolution,[status(thm)],[f1075,f1504]) ).
fof(f1629,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(and(not(not(implies(X0,X0))),X1),not(and(X1,X2)))) ),
inference(resolution,[status(thm)],[f1595,f715]) ).
fof(f1630,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(not(implies(X0,X0))),not(X1))) ),
inference(resolution,[status(thm)],[f1595,f801]) ).
fof(f1631,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(X1,X1))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1595,f172]) ).
fof(f1632,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(X0,not(not(implies(X1,X1)))),implies(X0,not(not(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f1595,f571]) ).
fof(f1635,definition,
! [X0] :
( sQ94_spl
<=> ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ94_spl
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f1635]) ).
fof(f1638,definition,
! [X1] :
( sQ95_spl
<=> is_a_theorem(not(not(implies(X1,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ95_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(component_clause,[status(thm)],[f1638]) ).
fof(f1641,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| sQ95_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f1631,f1635,f1638,f249,f367,f348,f460,f474,f171]) ).
fof(f1642,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1075,f1636]) ).
fof(f1643,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1078,f1636]) ).
fof(f1644,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1064,f1636]) ).
fof(f1645,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1100,f1636]) ).
fof(f1646,plain,
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f856,f1636]) ).
fof(f1647,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1056,f1636]) ).
fof(f1648,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1119,f1636]) ).
fof(f1649,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1069,f1636]) ).
fof(f1650,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1247,f1636]) ).
fof(f1651,plain,
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1033,f1636]) ).
fof(f1652,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1032,f1636]) ).
fof(f1653,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1376,f1636]) ).
fof(f1654,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1380,f1636]) ).
fof(f1655,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1029,f1636]) ).
fof(f1656,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1073,f1636]) ).
fof(f1657,plain,
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1239,f1636]) ).
fof(f1658,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1387,f1636]) ).
fof(f1659,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1101,f1636]) ).
fof(f1660,plain,
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1373,f1636]) ).
fof(f1661,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f875,f1636]) ).
fof(f1662,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f787,f1636]) ).
fof(f1663,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f572,f1636]) ).
fof(f1664,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1375,f1636]) ).
fof(f1665,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1374,f1636]) ).
fof(f1666,plain,
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1378,f1636]) ).
fof(f1667,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1379,f1636]) ).
fof(f1668,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1381,f1636]) ).
fof(f1669,plain,
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f865,f1636]) ).
fof(f1670,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1197,f1636]) ).
fof(f1671,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f855,f1636]) ).
fof(f1672,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1083,f1636]) ).
fof(f1673,plain,
( ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f250,f1636]) ).
fof(f1674,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f885,f1636]) ).
fof(f1675,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1109,f1636]) ).
fof(f1676,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1092,f1636]) ).
fof(f1677,plain,
( ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f573,f1636]) ).
fof(f1678,plain,
( ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f526,f1636]) ).
fof(f1679,plain,
( ~ sQ40_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f316,f1636]) ).
fof(f1680,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1595,f1636]) ).
fof(f1681,plain,
( ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f349,f1636]) ).
fof(f1682,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1074,f1636]) ).
fof(f1683,plain,
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1080,f1636]) ).
fof(f1684,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1079,f1636]) ).
fof(f1685,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1622,f1636]) ).
fof(f1686,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1590,f1636]) ).
fof(f1687,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1589,f1636]) ).
fof(f1688,plain,
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f911,f1636]) ).
fof(f1689,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f709,f1636]) ).
fof(f1690,plain,
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f617,f1636]) ).
fof(f1691,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1457,f1636]) ).
fof(f1692,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1088,f1636]) ).
fof(f1693,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1429,f1636]) ).
fof(f1694,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1346,f1636]) ).
fof(f1695,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f648,f1636]) ).
fof(f1696,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f972,f1636]) ).
fof(f1697,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1218,f1636]) ).
fof(f1698,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ40_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1043,f1636]) ).
fof(f1699,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f666,f1636]) ).
fof(f1700,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1130,f1636]) ).
fof(f1701,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1459,f1636]) ).
fof(f1702,plain,
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f657,f1636]) ).
fof(f1703,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1340,f1636]) ).
fof(f1704,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1077,f1636]) ).
fof(f1705,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f965,f1636]) ).
fof(f1706,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f682,f1636]) ).
fof(f1707,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f731,f1636]) ).
fof(f1708,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1014,f1636]) ).
fof(f1709,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1348,f1636]) ).
fof(f1710,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f747,f1636]) ).
fof(f1711,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f919,f1636]) ).
fof(f1712,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1200,f1636]) ).
fof(f1713,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f577,f1636]) ).
fof(f1714,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f776,f1636]) ).
fof(f1715,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f931,f1636]) ).
fof(f1716,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f988,f1636]) ).
fof(f1717,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f889,f1636]) ).
fof(f1718,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f716,f1636]) ).
fof(f1719,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f802,f1636]) ).
fof(f1720,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f581,f1636]) ).
fof(f1721,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f598,f1636]) ).
fof(f1722,plain,
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ40_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1049,f1636]) ).
fof(f1723,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ40_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f584,f1636]) ).
fof(f1724,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1632,f1636]) ).
fof(f1725,plain,
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f578,f1636]) ).
fof(f1726,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f761,f1636]) ).
fof(f1727,plain,
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f980,f1636]) ).
fof(f1728,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1001,f1636]) ).
fof(f1729,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f814,f1636]) ).
fof(f1730,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f880,f1636]) ).
fof(f1731,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1412,f1636]) ).
fof(f1732,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1021,f1636]) ).
fof(f1733,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1238,f1636]) ).
fof(f1734,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1395,f1636]) ).
fof(f1735,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f906,f1636]) ).
fof(f1736,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f798,f1636]) ).
fof(f1737,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1342,f1636]) ).
fof(f1738,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1055,f1636]) ).
fof(f1739,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1414,f1636]) ).
fof(f1740,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f840,f1636]) ).
fof(f1741,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ40_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f951,f1636]) ).
fof(f1742,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1420,f1636]) ).
fof(f1743,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1068,f1636]) ).
fof(f1744,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1118,f1636]) ).
fof(f1745,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1246,f1636]) ).
fof(f1746,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f958,f1636]) ).
fof(f1747,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1061,f1636]) ).
fof(f1748,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1254,f1636]) ).
fof(f1749,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1343,f1636]) ).
fof(f1750,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1327,f1636]) ).
fof(f1751,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1403,f1636]) ).
fof(f1752,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1398,f1636]) ).
fof(f1753,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1328,f1636]) ).
fof(f1754,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f863,f1636]) ).
fof(f1755,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1417,f1636]) ).
fof(f1756,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1407,f1636]) ).
fof(f1757,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1392,f1636]) ).
fof(f1758,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f873,f1636]) ).
fof(f1759,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f587,f1636]) ).
fof(f1760,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1458,f1636]) ).
fof(f1761,plain,
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f901,f1636]) ).
fof(f1762,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f585,f1636]) ).
fof(f1763,plain,
( ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f621,f1636]) ).
fof(f1764,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f967,f1636]) ).
fof(f1765,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ40_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f954,f1636]) ).
fof(f1766,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f961,f1636]) ).
fof(f1767,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1024,f1636]) ).
fof(f1768,plain,
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f940,f1636]) ).
fof(f1769,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f970,f1636]) ).
fof(f1770,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1041,f1636]) ).
fof(f1771,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f869,f1636]) ).
fof(f1772,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f734,f1636]) ).
fof(f1773,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f735,f1636]) ).
fof(f1774,plain,
( ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f736,f1636]) ).
fof(f1775,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1016,f1636]) ).
fof(f1776,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f749,f1636]) ).
fof(f1777,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f582,f1636]) ).
fof(f1778,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f727,f1636]) ).
fof(f1779,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f803,f1636]) ).
fof(f1780,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f884,f1636]) ).
fof(f1781,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f740,f1636]) ).
fof(f1782,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f900,f1636]) ).
fof(f1783,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f725,f1636]) ).
fof(f1784,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f903,f1636]) ).
fof(f1785,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f783,f1636]) ).
fof(f1786,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f756,f1636]) ).
fof(f1787,plain,
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f806,f1636]) ).
fof(f1788,plain,
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f942,f1636]) ).
fof(f1789,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f724,f1636]) ).
fof(f1790,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f811,f1636]) ).
fof(f1791,plain,
( ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f895,f1636]) ).
fof(f1792,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f748,f1636]) ).
fof(f1793,plain,
( ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f726,f1636]) ).
fof(f1794,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f758,f1636]) ).
fof(f1795,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1015,f1636]) ).
fof(f1796,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f998,f1636]) ).
fof(f1797,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1065,f1636]) ).
fof(f1798,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f870,f1636]) ).
fof(f1799,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f720,f1636]) ).
fof(f1800,plain,
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f892,f1636]) ).
fof(f1801,plain,
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f897,f1636]) ).
fof(f1802,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f721,f1636]) ).
fof(f1803,plain,
( ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f722,f1636]) ).
fof(f1804,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f719,f1636]) ).
fof(f1805,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f874,f1636]) ).
fof(f1806,plain,
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1410,f1636]) ).
fof(f1807,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f864,f1636]) ).
fof(f1808,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1052,f1636]) ).
fof(f1809,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1400,f1636]) ).
fof(f1810,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1115,f1636]) ).
fof(f1811,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1243,f1636]) ).
fof(f1812,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1058,f1636]) ).
fof(f1813,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1251,f1636]) ).
fof(f1814,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1235,f1636]) ).
fof(f1815,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f795,f1636]) ).
fof(f1816,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1621,f1636]) ).
fof(f1817,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1594,f1636]) ).
fof(f1818,plain,
( ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1571,f1636]) ).
fof(f1819,plain,
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1026,f1636]) ).
fof(f1820,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1240,f1636]) ).
fof(f1821,plain,
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1242,f1636]) ).
fof(f1822,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1630,f1636]) ).
fof(f1823,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f916,f1636]) ).
fof(f1824,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1120,f1636]) ).
fof(f1825,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1034,f1636]) ).
fof(f1826,plain,
( ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f953,f1636]) ).
fof(f1827,plain,
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1070,f1636]) ).
fof(f1828,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1572,f1636]) ).
fof(f1829,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f847,f1636]) ).
fof(f1830,plain,
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1057,f1636]) ).
fof(f1831,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1071,f1636]) ).
fof(f1832,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1570,f1636]) ).
fof(f1833,plain,
( ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1396,f1636]) ).
fof(f1834,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1030,f1636]) ).
fof(f1835,plain,
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f799,f1636]) ).
fof(f1836,plain,
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1072,f1636]) ).
fof(f1837,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f850,f1636]) ).
fof(f1838,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f846,f1636]) ).
fof(f1839,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f816,f1636]) ).
fof(f1840,plain,
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f960,f1636]) ).
fof(f1841,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f817,f1636]) ).
fof(f1842,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1003,f1636]) ).
fof(f1843,plain,
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f818,f1636]) ).
fof(f1844,plain,
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1004,f1636]) ).
fof(f1845,plain,
( ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f854,f1636]) ).
fof(f1846,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f928,f1636]) ).
fof(f1847,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f848,f1636]) ).
fof(f1848,plain,
( ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f852,f1636]) ).
fof(f1849,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f886,f1636]) ).
fof(f1850,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1011,f1636]) ).
fof(f1851,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1063,f1636]) ).
fof(f1852,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1344,f1636]) ).
fof(f1853,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f853,f1636]) ).
fof(f1854,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1421,f1636]) ).
fof(f1855,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1415,f1636]) ).
fof(f1856,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f841,f1636]) ).
fof(f1857,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f849,f1636]) ).
fof(f1858,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f851,f1636]) ).
fof(f1859,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f985,f1636]) ).
fof(f1860,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f962,f1636]) ).
fof(f1861,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1469,f1636]) ).
fof(f1862,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f823,f1636]) ).
fof(f1863,plain,
( ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f831,f1636]) ).
fof(f1864,plain,
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f929,f1636]) ).
fof(f1865,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ1_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f825,f1636]) ).
fof(f1866,plain,
( ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f829,f1636]) ).
fof(f1867,plain,
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f887,f1636]) ).
fof(f1868,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f830,f1636]) ).
fof(f1869,plain,
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1012,f1636]) ).
fof(f1870,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f826,f1636]) ).
fof(f1871,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f828,f1636]) ).
fof(f1872,plain,
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f986,f1636]) ).
fof(f1873,plain,
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f963,f1636]) ).
fof(f1874,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1600,f1636]) ).
fof(f1875,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f904,f1636]) ).
fof(f1876,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f861,f1636]) ).
fof(f1877,plain,
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1629,f1636]) ).
fof(f1878,plain,
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f917,f1636]) ).
fof(f1879,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ40_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f949,f1636]) ).
fof(f1880,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f956,f1636]) ).
fof(f1881,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1019,f1636]) ).
fof(f1882,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f878,f1636]) ).
fof(f1883,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1103,f1636]) ).
fof(f1884,plain,
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f788,f1636]) ).
fof(f1885,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f743,f1636]) ).
fof(f1886,plain,
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f628,f1636]) ).
fof(f1887,plain,
( ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f883,f1636]) ).
fof(f1888,plain,
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f820,f1636]) ).
fof(f1889,plain,
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f833,f1636]) ).
fof(f1890,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ1_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f824,f1636]) ).
fof(f1891,plain,
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1008,f1636]) ).
fof(f1892,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f812,f1636]) ).
fof(f1893,plain,
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f939,f1636]) ).
fof(f1894,plain,
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1205,f1636]) ).
fof(f1895,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f827,f1636]) ).
fof(f1896,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f759,f1636]) ).
fof(f1897,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f999,f1636]) ).
fof(f1898,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1066,f1636]) ).
fof(f1899,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f871,f1636]) ).
fof(f1900,plain,
( ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f728,f1636]) ).
fof(f1901,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1053,f1636]) ).
fof(f1902,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1116,f1636]) ).
fof(f1903,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1244,f1636]) ).
fof(f1904,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1059,f1636]) ).
fof(f1905,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1252,f1636]) ).
fof(f1906,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1236,f1636]) ).
fof(f1907,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f796,f1636]) ).
fof(f1908,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f832,f1636]) ).
fof(f1909,plain,
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1198,f1636]) ).
fof(f1910,plain,
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1084,f1636]) ).
fof(f1911,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1620,f1636]) ).
fof(f1912,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1610,f1636]) ).
fof(f1913,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ94_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1609,f1636]) ).
fof(f1914,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f1642]) ).
fof(f1925,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f571,f1083]) ).
fof(f1927,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f571,f1074]) ).
fof(f1942,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f489,f250]) ).
fof(f1949,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(and(not(not(implies(X0,X0))),not(not(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f1639,f571]) ).
fof(f1950,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ95_spl
| is_a_theorem(not(not(or(X0,not(X0))))) ),
inference(paramodulation,[status(thm)],[f530,f1639]) ).
fof(f1998,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),not(equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f489,f855]) ).
fof(f2023,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(or(and(X0,not(X1)),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f475,f1078]) ).
fof(f2025,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(implies(X0,X1),implies(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f567,f2023]) ).
fof(f2052,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(equiv(X0,X0))
| ~ is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f573,f172]) ).
fof(f2055,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(resolution,[status(thm)],[f316,f172]) ).
fof(f2072,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f1494,f1078]) ).
fof(f2073,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f1494,f1639]) ).
fof(f2081,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),or(X2,not(X2)))) ),
inference(paramodulation,[status(thm)],[f567,f1375]) ).
fof(f2082,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(and(X0,not(X1)),X2),X3))) ),
inference(paramodulation,[status(thm)],[f567,f1378]) ).
fof(f2085,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),implies(X2,X2))) ),
inference(paramodulation,[status(thm)],[f567,f1381]) ).
fof(f2087,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),not(or(and(X0,not(X1)),and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f567,f1197]) ).
fof(f2089,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(implies(X0,X1),not(and(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f567,f1078]) ).
fof(f2096,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(and(X0,not(X1)))
| ~ is_a_theorem(not(not(implies(implies(X0,X1),and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f567,f1492]) ).
fof(f2099,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),or(X2,and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f567,f1109]) ).
fof(f2102,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,and(X0,not(X1))))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f567,f1347]) ).
fof(f2105,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(implies(implies(X0,X1),and(X0,not(X1)))),and(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f567,f1387]) ).
fof(f2113,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),not(implies(implies(X0,X1),and(X0,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f567,f2087]) ).
fof(f2114,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),not(not(and(implies(X0,X1),implies(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f566,f2113]) ).
fof(f2115,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(implies(X0,X1),implies(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f475,f2089]) ).
fof(f2120,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(and(X0,not(X1)))
| ~ is_a_theorem(not(not(not(and(implies(X0,X1),implies(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f566,f2096]) ).
fof(f2125,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(not(and(implies(X0,X1),implies(X0,X1)))),and(X0,not(X1)))) ),
inference(forward_demodulation,[status(thm)],[f566,f2105]) ).
fof(f2131,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X2,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f2085,f172]) ).
fof(f2133,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(X0,X1),implies(X2,X2))) ),
inference(paramodulation,[status(thm)],[f530,f2085]) ).
fof(f2135,definition,
! [X0,X1] :
( sQ96_spl
<=> ~ is_a_theorem(implies(X0,X1)) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f2138,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| sQ93_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f2131,f2135,f1516,f348,f367,f249,f460,f474,f171]) ).
fof(f2139,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X2,X2))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f2133,f172]) ).
fof(f2142,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(X0,X1),or(X2,not(X2)))) ),
inference(paramodulation,[status(thm)],[f530,f2133]) ).
fof(f2143,definition,
! [X0,X1] :
( sQ97_spl
<=> ~ is_a_theorem(or(X0,X1)) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f2146,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| sQ93_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f2139,f2143,f1516,f348,f367,f249,f474,f460,f171]) ).
fof(f2164,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(X0),implies(not(X0),X0)))) ),
inference(paramodulation,[status(thm)],[f566,f349]) ).
fof(f2170,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(not(and(and(X0,not(X1)),implies(X0,X1))),equiv(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f566,f573]) ).
fof(f2173,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(and(X0,not(X1)),X2),not(and(X3,implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f566,f1380]) ).
fof(f2174,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,implies(X1,X2))),implies(X3,X0))) ),
inference(paramodulation,[status(thm)],[f566,f1380]) ).
fof(f2175,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,implies(X1,X2))),or(X3,X0))) ),
inference(paramodulation,[status(thm)],[f566,f1376]) ).
fof(f2176,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),not(and(X1,implies(X2,X3))))) ),
inference(paramodulation,[status(thm)],[f566,f1069]) ).
fof(f2178,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ95_spl
| is_a_theorem(not(not(not(and(and(X0,not(X1)),implies(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f566,f1639]) ).
fof(f2180,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(and(and(X1,not(X2)),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f566,f1381]) ).
fof(f2209,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f915,f1029]) ).
fof(f2210,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f915,f1380]) ).
fof(f2211,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f915,f1073]) ).
fof(f2213,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f915,f1381]) ).
fof(f2217,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f1075,f879]) ).
fof(f2226,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(not(and(and(X0,not(X1)),implies(X0,X1)))),X2))) ),
inference(paramodulation,[status(thm)],[f566,f1075]) ).
fof(f2231,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(not(not(equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f569,f1237]) ).
fof(f2234,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),implies(equiv(not(X0),X1),X2))) ),
inference(paramodulation,[status(thm)],[f569,f1378]) ).
fof(f2235,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),X2),or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f569,f1033]) ).
fof(f2236,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),not(equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f569,f855]) ).
fof(f2238,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)],[f569,f250]) ).
fof(f2239,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)],[f569,f574]) ).
fof(f2276,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(not(not(and(and(X1,not(X2)),implies(X1,X2))))))) ),
inference(paramodulation,[status(thm)],[f566,f1595]) ).
fof(f2278,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(not(not(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f1610,f915]) ).
fof(f2279,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(not(implies(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f1610,f1347]) ).
fof(f2280,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f1610,f1199]) ).
fof(f2281,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,not(not(implies(X1,X1)))),or(X0,not(not(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f1610,f571]) ).
fof(f2284,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,not(not(not(and(and(X1,not(X2)),implies(X1,X2))))))) ),
inference(paramodulation,[status(thm)],[f566,f1610]) ).
fof(f2287,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f2279,f1199]) ).
fof(f2288,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(not(implies(X0,X0))),X1),or(not(not(implies(X0,X0))),X1))) ),
inference(resolution,[status(thm)],[f2279,f571]) ).
fof(f2289,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(not(or(X0,not(X0)))),X1)) ),
inference(paramodulation,[status(thm)],[f530,f2279]) ).
fof(f2290,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(not(not(and(and(X0,not(X1)),implies(X0,X1))))),X2)) ),
inference(paramodulation,[status(thm)],[f566,f2279]) ).
fof(f2299,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(X1)),not(equiv(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f568,f855]) ).
fof(f2301,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)],[f568,f250]) ).
fof(f2308,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ40_spl
| is_a_theorem(or(and(X0,not(X1)),X2))
| ~ is_a_theorem(equiv(implies(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f475,f597]) ).
fof(f2309,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ40_spl
| is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(equiv(implies(X0,X1),X2)) ),
inference(forward_demodulation,[status(thm)],[f567,f2308]) ).
fof(f2326,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(not(implies(equiv(not(X0),X1),X2))) ),
inference(paramodulation,[status(thm)],[f569,f1485]) ).
fof(f2328,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(not(implies(equiv(X0,X1),X2))) ),
inference(paramodulation,[status(thm)],[f489,f1485]) ).
fof(f2330,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(X1,not(X2)),X3))
| ~ is_a_theorem(not(not(and(X0,implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f566,f1067]) ).
fof(f2331,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,not(X0)))
| ~ is_a_theorem(not(or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f530,f1487]) ).
fof(f2332,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X3,X0))
| ~ is_a_theorem(not(not(and(X0,implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f566,f1487]) ).
fof(f2348,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X2,not(X0)))
| ~ is_a_theorem(not(or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f530,f1488]) ).
fof(f2349,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(not(not(and(X0,implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f566,f1488]) ).
fof(f2351,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(and(not(implies(X0,X0)),X1),X2),X3)) ),
inference(resolution,[status(thm)],[f1500,f1075]) ).
fof(f2352,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(and(not(or(X0,not(X0))),X1),X2)) ),
inference(resolution,[status(thm)],[f1500,f1078]) ).
fof(f2354,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(and(X0,not(X1)),X2),X3))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f475,f1500]) ).
fof(f2367,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(not(not(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f570,f2279]) ).
fof(f2380,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(X1,X1))))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f570,f1610]) ).
fof(f2387,definition,
! [X0] :
( sQ98_spl
<=> ~ is_a_theorem(not(not(not(implies(X0,X0))))) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f2388,plain,
! [X0] :
( ~ sQ98_spl
| ~ is_a_theorem(not(not(not(implies(X0,X0))))) ),
inference(component_clause,[status(thm)],[f2387]) ).
fof(f2390,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ89_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f2367,f2387,f1124,f348,f249,f367,f460,f474,f171]) ).
fof(f2393,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| sQ95_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f2380,f1509,f1638,f249,f367,f348,f171,f460,f474]) ).
fof(f2395,plain,
( sQ44_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1265]) ).
fof(f2403,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ is_a_theorem(not(not(not(or(X0,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f530,f2388]) ).
fof(f2404,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ98_spl
| ~ is_a_theorem(not(not(not(not(and(and(X0,not(X1)),implies(X0,X1))))))) ),
inference(paramodulation,[status(thm)],[f566,f2388]) ).
fof(f2405,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),not(and(X1,and(not(implies(X2,X2)),X3))))) ),
inference(resolution,[status(thm)],[f1458,f715]) ).
fof(f2407,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(X2)
| ~ is_a_theorem(and(not(implies(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f1458,f172]) ).
fof(f2408,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(and(not(implies(X0,X0)),X1),X2),implies(and(not(implies(X0,X0)),X1),X2))) ),
inference(resolution,[status(thm)],[f1458,f571]) ).
fof(f2411,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(not(not(and(and(X0,not(X1)),implies(X0,X1)))),X2),X3)) ),
inference(paramodulation,[status(thm)],[f566,f1458]) ).
fof(f2412,definition,
! [X0,X1] :
( sQ99_spl
<=> ~ is_a_theorem(and(not(implies(X0,X0)),X1)) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f2413,plain,
! [X0,X1] :
( ~ sQ99_spl
| ~ is_a_theorem(and(not(implies(X0,X0)),X1)) ),
inference(component_clause,[status(thm)],[f2412]) ).
fof(f2415,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| sQ89_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f2407,f2412,f1124,f348,f367,f249,f474,f460,f171]) ).
fof(f2416,plain,
( sQ68_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1266]) ).
fof(f2424,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ is_a_theorem(and(not(or(X0,not(X0))),X1)) ),
inference(paramodulation,[status(thm)],[f530,f2413]) ).
fof(f2425,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ99_spl
| ~ is_a_theorem(and(not(not(and(and(X0,not(X1)),implies(X0,X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f566,f2413]) ).
fof(f2473,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(implies(X0,X1),not(equiv(X0,X1)))) ),
inference(resolution,[status(thm)],[f1242,f1347]) ).
fof(f2474,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(equiv(X0,X1)),implies(X0,X1)),or(not(equiv(X0,X1)),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1242,f571]) ).
fof(f2476,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(equiv(X0,and(X1,not(X2)))),not(and(X0,implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f566,f1242]) ).
fof(f2477,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(not(and(and(X0,X1),X2)))) ),
inference(resolution,[status(thm)],[f1034,f570]) ).
fof(f2478,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(and(and(X0,X1),X2)))) ),
inference(resolution,[status(thm)],[f1034,f1347]) ).
fof(f2479,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(or(not(and(and(X0,X1),X2)),X0),or(not(and(and(X0,X1),X2)),X0))) ),
inference(resolution,[status(thm)],[f1034,f571]) ).
fof(f2481,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(equiv(not(X0),X1),X2)),or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f569,f1034]) ).
fof(f2483,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(equiv(X0,X1),X2)),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f489,f1034]) ).
fof(f2484,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,X2))
| ~ is_a_theorem(not(implies(X0,not(X1)))) ),
inference(resolution,[status(thm)],[f1071,f570]) ).
fof(f2486,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,not(X1)),or(X1,X2)),or(implies(X0,not(X1)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1071,f571]) ).
fof(f2517,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ40_spl
| is_a_theorem(or(not(equiv(X0,X1)),implies(X0,X1))) ),
inference(resolution,[status(thm)],[f850,f1347]) ).
fof(f2521,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(implies(X0,X0)))
| ~ is_a_theorem(not(equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f854,f570]) ).
fof(f2526,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,X2))
| ~ is_a_theorem(not(or(X0,not(X1)))) ),
inference(resolution,[status(thm)],[f1344,f570]) ).
fof(f2530,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(or(X0,not(X1)),or(X1,X2)),or(or(X0,not(X1)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1344,f571]) ).
fof(f2538,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(or(X0,X1),implies(X2,not(X0))),or(or(X0,X1),implies(X2,not(X0))))) ),
inference(resolution,[status(thm)],[f1421,f571]) ).
fof(f2548,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(or(X0,X1),or(X2,not(X0))),or(or(X0,X1),or(X2,not(X0))))) ),
inference(resolution,[status(thm)],[f1415,f571]) ).
fof(f2569,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(or(X1,X0)))
| ~ is_a_theorem(not(or(X0,X1))) ),
inference(resolution,[status(thm)],[f1469,f570]) ).
fof(f2570,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(or(X0,X1)),or(X1,X0))) ),
inference(resolution,[status(thm)],[f1469,f1347]) ).
fof(f2571,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(or(X0,X1),not(or(X1,X0))),or(or(X0,X1),not(or(X1,X0))))) ),
inference(resolution,[status(thm)],[f1469,f571]) ).
fof(f2572,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(implies(X0,X1),X2),not(or(X2,and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f567,f1469]) ).
fof(f2573,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,and(X1,not(X2))),not(implies(implies(X1,X2),X0)))) ),
inference(paramodulation,[status(thm)],[f567,f1469]) ).
fof(f2574,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(not(and(not(X0),X1))) ),
inference(resolution,[status(thm)],[f1103,f570]) ).
fof(f2575,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),and(not(X1),X0))) ),
inference(resolution,[status(thm)],[f1103,f1347]) ).
fof(f2576,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(and(not(X0),X1),implies(X1,X0)),or(and(not(X0),X1),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1103,f571]) ).
fof(f2588,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(X1)),and(X1,X0))) ),
inference(resolution,[status(thm)],[f796,f1347]) ).
fof(f2598,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(X1,X0)))
| ~ is_a_theorem(not(and(X0,X1))) ),
inference(resolution,[status(thm)],[f1084,f570]) ).
fof(f2599,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,X1)),and(X1,X0))) ),
inference(resolution,[status(thm)],[f1084,f1347]) ).
fof(f2600,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| is_a_theorem(and(or(and(X0,X1),not(and(X1,X0))),or(and(X0,X1),not(and(X1,X0))))) ),
inference(resolution,[status(thm)],[f1084,f571]) ).
fof(f2601,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),not(and(not(X1),X0)))) ),
inference(paramodulation,[status(thm)],[f567,f1084]) ).
fof(f2604,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(X0,X1),not(and(implies(X1,X0),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f489,f1084]) ).
fof(f2611,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(X0,X1),not(equiv(X1,X0)))) ),
inference(forward_demodulation,[status(thm)],[f489,f2604]) ).
fof(f2617,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,not(X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f2081,f172]) ).
fof(f2623,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| sQ92_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f2617,f2135,f1512,f348,f367,f249,f460,f474,f171]) ).
fof(f2627,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| or(and(not(X0),implies(X1,X2)),and(X3,not(X4))) = not(and(or(X0,and(X1,not(X2))),implies(X3,X4))) ),
inference(paramodulation,[status(thm)],[f615,f615]) ).
fof(f2629,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)],[f530,f615]) ).
fof(f2638,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(and(not(X0),implies(X1,X2)),X3),implies(X3,or(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f615,f796]) ).
fof(f2639,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,and(X1,not(X2))),X3),implies(X3,and(not(X0),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f615,f1103]) ).
fof(f2640,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(and(not(X0),implies(X1,X2)),X3),or(X4,or(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f615,f1415]) ).
fof(f2641,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(and(not(X0),implies(X1,X2)),X3),implies(X4,or(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f615,f1421]) ).
fof(f2642,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,or(X1,and(X2,not(X3)))),or(and(not(X1),implies(X2,X3)),X4))) ),
inference(paramodulation,[status(thm)],[f615,f1344]) ).
fof(f2643,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(or(implies(X0,and(not(X1),implies(X2,X3))),and(X0,or(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f615,f799]) ).
fof(f2644,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,or(X1,and(X2,not(X3)))),or(and(not(X1),implies(X2,X3)),X4))) ),
inference(paramodulation,[status(thm)],[f615,f1071]) ).
fof(f2645,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(and(not(X0),implies(X1,X2)),X3),or(X3,or(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f615,f795]) ).
fof(f2646,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(or(X0,and(X1,not(X2))),X3),or(and(not(X0),implies(X1,X2)),X3))) ),
inference(paramodulation,[status(thm)],[f615,f585]) ).
fof(f2647,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ99_spl
| ~ is_a_theorem(and(not(or(and(not(X0),implies(X1,X2)),or(X0,and(X1,not(X2))))),X3)) ),
inference(paramodulation,[status(thm)],[f615,f2424]) ).
fof(f2648,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ88_spl
| ~ is_a_theorem(not(or(and(not(X0),implies(X1,X2)),or(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f615,f1195]) ).
fof(f2649,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(and(not(X0),implies(X1,X2)),X3),X4))
| ~ is_a_theorem(or(X0,and(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f615,f1500]) ).
fof(f2650,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(or(and(not(X0),implies(X1,X2)),X3))
| ~ is_a_theorem(equiv(or(X0,and(X1,not(X2))),X3)) ),
inference(paramodulation,[status(thm)],[f615,f597]) ).
fof(f2651,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(X0,not(and(not(X1),implies(X2,X3)))) = and(implies(X0,or(X1,and(X2,not(X3)))),or(and(not(X1),implies(X2,X3)),X0)) ),
inference(paramodulation,[status(thm)],[f615,f568]) ).
fof(f2652,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(or(and(not(X0),implies(X1,X2)),and(not(X0),implies(X1,X2))),not(or(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f615,f885]) ).
fof(f2653,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(X0),implies(X1,X2)),and(not(and(not(X0),implies(X1,X2))),or(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f615,f572]) ).
fof(f2655,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(not(and(not(X0),implies(X1,X2))),X3) = and(or(and(not(X0),implies(X1,X2)),X3),implies(X3,or(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f615,f569]) ).
fof(f2656,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(and(not(X0),implies(X1,X2)),X3)))
| ~ is_a_theorem(or(X0,and(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f615,f862]) ).
fof(f2657,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(or(and(not(X0),implies(X1,X2)),and(not(X0),implies(X1,X2)))))
| ~ is_a_theorem(or(X0,and(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f615,f1504]) ).
fof(f2659,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| implies(X0,and(X1,or(X2,and(X3,not(X4))))) = not(and(X0,implies(X1,and(not(X2),implies(X3,X4))))) ),
inference(paramodulation,[status(thm)],[f615,f566]) ).
fof(f2661,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(and(not(X1),implies(X2,X3)))
| ~ is_a_theorem(not(implies(X0,or(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f615,f1054]) ).
fof(f2662,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(X0),implies(X1,X2)),X3))
| ~ is_a_theorem(not(or(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f615,f905]) ).
fof(f2663,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)],[f615,f567]) ).
fof(f2664,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(and(not(X0),implies(X1,X2)),and(not(X0),implies(X1,X2))))
| ~ is_a_theorem(not(or(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f615,f1494]) ).
fof(f2665,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(and(not(X1),implies(X2,X3)))
| ~ is_a_theorem(not(or(X0,or(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f615,f1060]) ).
fof(f2666,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(or(and(not(X0),implies(X1,X2)),or(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f615,f1078]) ).
fof(f2667,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(X0),implies(X1,X2)),implies(X3,or(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f615,f1379]) ).
fof(f2668,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(X0),implies(X1,X2)),or(X3,or(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f615,f1374]) ).
fof(f2669,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,or(and(not(X1),implies(X2,X3)),or(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f615,f1375]) ).
fof(f2670,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,and(X1,not(X2))),or(and(not(X0),implies(X1,X2)),X3))) ),
inference(paramodulation,[status(thm)],[f615,f875]) ).
fof(f2671,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(or(X0,and(X1,not(X2))),and(and(not(X0),implies(X1,X2)),and(not(X0),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f615,f1373]) ).
fof(f2672,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,or(X1,and(X2,not(X3)))),and(not(X1),implies(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f615,f1032]) ).
fof(f2673,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(and(not(X0),implies(X1,X2)),X3),or(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f615,f1247]) ).
fof(f2674,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(or(and(not(X0),implies(X1,X2)),or(X0,and(X1,not(X2)))),X3)) ),
inference(paramodulation,[status(thm)],[f615,f1119]) ).
fof(f2675,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,or(X1,and(X2,not(X3)))),and(not(X1),implies(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f615,f1056]) ).
fof(f2676,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(and(and(not(X0),implies(X1,X2)),and(not(X0),implies(X1,X2))),or(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f615,f856]) ).
fof(f2677,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(not(X0),implies(X1,X2)),X3))
| ~ is_a_theorem(or(X0,and(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f615,f872]) ).
fof(f2678,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(and(not(X0),implies(X1,X2)))
| ~ is_a_theorem(not(or(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f615,f797]) ).
fof(f2679,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(X0),implies(X1,X2)),or(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f615,f1083]) ).
fof(f2680,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(or(or(X0,and(X1,not(X2))),and(not(X0),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f615,f787]) ).
fof(f2681,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| implies(X0,and(not(X1),implies(X2,X3))) = not(and(X0,or(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f615,f475]) ).
fof(f2682,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)],[f615,f530]) ).
fof(f2684,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(X0),or(X0,X0)))) ),
inference(backward_demodulation,[status(thm)],[f2629,f572]) ).
fof(f2685,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(and(not(implies(X0,X1)),or(X1,X1)))) ),
inference(backward_demodulation,[status(thm)],[f2629,f1030]) ).
fof(f2686,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(not(and(not(or(X0,X1)),or(X0,X1)))) ),
inference(backward_demodulation,[status(thm)],[f2629,f841]) ).
fof(f2687,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)],[f2629,f587]) ).
fof(f2688,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(and(or(X0,and(not(X0),not(X0))),or(X0,and(not(X0),not(X0)))),and(or(X0,and(not(X0),not(X0))),not(and(not(X0),or(X0,X0)))))) ),
inference(backward_demodulation,[status(thm)],[f2629,f1130]) ).
fof(f2693,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(X0,or(X1,and(X2,not(X3)))) = and(implies(X0,or(X1,and(X2,not(X3)))),or(and(not(X1),implies(X2,X3)),X0)) ),
inference(forward_demodulation,[status(thm)],[f615,f2651]) ).
fof(f2694,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(X0),implies(X1,X2)),and(or(X0,and(X1,not(X2))),or(X0,and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f615,f2653]) ).
fof(f2696,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(or(X0,and(X1,not(X2))),X3) = and(or(and(not(X0),implies(X1,X2)),X3),implies(X3,or(X0,and(X1,not(X2))))) ),
inference(forward_demodulation,[status(thm)],[f615,f2655]) ).
fof(f2703,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)],[f2629,f2687]) ).
fof(f2704,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(and(not(and(not(X0),or(X0,X0))),or(X0,and(not(X0),not(X0)))),and(or(X0,and(not(X0),not(X0))),not(and(not(X0),or(X0,X0)))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f2688]) ).
fof(f2705,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(or(X0,and(not(X0),not(X0))),not(and(not(X0),or(X0,X0)))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f2704]) ).
fof(f2706,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(forward_demodulation,[status(thm)],[f2629,f2705]) ).
fof(f2708,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(and(not(X0),or(X0,X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f2684,f1500]) ).
fof(f2709,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(and(not(X0),or(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f2684,f862]) ).
fof(f2710,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(or(and(not(X0),or(X0,X0)),and(not(X0),or(X0,X0))))) ),
inference(resolution,[status(thm)],[f2684,f1504]) ).
fof(f2711,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,not(and(not(X1),or(X1,X1))))) ),
inference(resolution,[status(thm)],[f2684,f1501]) ).
fof(f2712,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(and(not(X1),or(X1,X1))))) ),
inference(resolution,[status(thm)],[f2684,f1499]) ).
fof(f2713,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(not(X0),or(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f2684,f872]) ).
fof(f2715,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(not(and(or(X0,and(X1,not(X2))),or(and(not(X0),implies(X1,X2)),and(not(X0),implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f615,f2684]) ).
fof(f2727,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,not(X2)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f2142,f172]) ).
fof(f2733,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| sQ92_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f2727,f2143,f1512,f348,f367,f249,f474,f460,f171]) ).
fof(f2738,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f2278,f797]) ).
fof(f2739,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(not(not(not(implies(X0,X0)))),X1),X2)) ),
inference(resolution,[status(thm)],[f2278,f1500]) ).
fof(f2740,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(not(not(implies(X0,X0)))),X1))) ),
inference(resolution,[status(thm)],[f2278,f862]) ).
fof(f2741,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(or(not(not(not(implies(X0,X0)))),not(not(not(implies(X0,X0))))))) ),
inference(resolution,[status(thm)],[f2278,f1504]) ).
fof(f2742,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,not(not(not(not(implies(X1,X1))))))) ),
inference(resolution,[status(thm)],[f2278,f1501]) ).
fof(f2743,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(not(not(not(implies(X1,X1))))))) ),
inference(resolution,[status(thm)],[f2278,f1499]) ).
fof(f2745,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(not(not(not(not(implies(X0,X0))))),not(not(not(not(implies(X0,X0))))))) ),
inference(resolution,[status(thm)],[f2278,f571]) ).
fof(f2746,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(not(not(or(X0,not(X0))))))) ),
inference(paramodulation,[status(thm)],[f530,f2278]) ).
fof(f2747,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(not(not(not(and(and(X0,not(X1)),implies(X0,X1)))))))) ),
inference(paramodulation,[status(thm)],[f566,f2278]) ).
fof(f2750,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ98_spl
| ~ is_a_theorem(not(not(not(or(and(not(X0),implies(X1,X2)),or(X0,and(X1,not(X2)))))))) ),
inference(paramodulation,[status(thm)],[f615,f2403]) ).
fof(f2754,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(and(X0,X1),X2)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f2478,f570]) ).
fof(f2756,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,not(and(and(X0,X1),X2))),or(X0,not(and(and(X0,X1),X2))))) ),
inference(resolution,[status(thm)],[f2478,f571]) ).
fof(f2757,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),not(and(and(and(X0,not(X1)),X2),X3)))) ),
inference(paramodulation,[status(thm)],[f567,f2478]) ).
fof(f2759,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),not(and(equiv(not(X0),X1),X2)))) ),
inference(paramodulation,[status(thm)],[f569,f2478]) ).
fof(f2761,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),not(and(equiv(X0,X1),X2)))) ),
inference(paramodulation,[status(thm)],[f489,f2478]) ).
fof(f2762,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| equiv(and(X0,not(X1)),and(X2,not(X3))) = and(not(and(and(X0,not(X1)),implies(X2,X3))),not(and(and(X2,not(X3)),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f566,f624]) ).
fof(f2767,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)],[f569,f624]) ).
fof(f2768,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)],[f489,f624]) ).
fof(f2769,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)],[f530,f624]) ).
fof(f2771,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(not(and(X0,implies(X1,X2))),implies(X0,and(X1,not(X2)))),or(equiv(X0,and(X1,not(X2))),not(equiv(and(X1,not(X2)),X0))))) ),
inference(paramodulation,[status(thm)],[f624,f722]) ).
fof(f2775,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)],[f624,f475]) ).
fof(f2779,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(and(X0,not(X1)),X2),implies(not(and(X2,implies(X0,X1))),not(implies(and(X0,not(X1)),X2))))) ),
inference(paramodulation,[status(thm)],[f624,f796]) ).
fof(f2781,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(implies(or(X0,implies(and(X1,not(X2)),X3)),or(equiv(and(X1,not(X2)),X3),implies(not(and(X3,implies(X1,X2))),X0)))) ),
inference(paramodulation,[status(thm)],[f624,f727]) ).
fof(f2788,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(and(X0,not(X1)),X2),not(equiv(and(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f624,f855]) ).
fof(f2790,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(and(X0,not(X1)),X2),implies(and(X0,not(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f624,f250]) ).
fof(f2801,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))),or(equiv(X0,and(X1,not(X2))),not(equiv(and(X1,not(X2)),X0))))) ),
inference(forward_demodulation,[status(thm)],[f530,f2771]) ).
fof(f2802,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),not(and(X0,implies(X1,X2)))),or(equiv(X0,and(X1,not(X2))),not(equiv(and(X1,not(X2)),X0))))) ),
inference(forward_demodulation,[status(thm)],[f566,f2801]) ).
fof(f2809,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(and(X0,not(X1)),X2),or(and(X2,implies(X0,X1)),not(implies(and(X0,not(X1)),X2))))) ),
inference(forward_demodulation,[status(thm)],[f530,f2779]) ).
fof(f2810,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(implies(or(X0,implies(and(X1,not(X2)),X3)),or(equiv(and(X1,not(X2)),X3),or(and(X3,implies(X1,X2)),X0)))) ),
inference(forward_demodulation,[status(thm)],[f530,f2781]) ).
fof(f2812,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(not(not(or(X0,X1)))) ),
inference(resolution,[status(thm)],[f2570,f570]) ).
fof(f2814,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(or(X0,X1)),or(X1,X0)),or(not(or(X0,X1)),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f2570,f571]) ).
fof(f2815,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(implies(implies(X0,X1),X2)),or(X2,and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f567,f2570]) ).
fof(f2816,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(or(X0,and(X1,not(X2)))),implies(implies(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f567,f2570]) ).
fof(f2817,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(and(not(X1),X0))
| ~ is_a_theorem(not(implies(X0,X1))) ),
inference(resolution,[status(thm)],[f2575,f570]) ).
fof(f2819,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,X1),and(not(X1),X0)),or(implies(X0,X1),and(not(X1),X0)))) ),
inference(resolution,[status(thm)],[f2575,f571]) ).
fof(f2820,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),and(not(X1),not(X0)))) ),
inference(paramodulation,[status(thm)],[f530,f2575]) ).
fof(f2822,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,and(not(X1),implies(X2,X3))),and(or(X1,and(X2,not(X3))),X0))) ),
inference(paramodulation,[status(thm)],[f615,f2575]) ).
fof(f2824,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(or(X0,X1)),or(X1,X0)))) ),
inference(forward_demodulation,[status(thm)],[f2629,f2820]) ).
fof(f2827,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(and(X1,X0))
| ~ is_a_theorem(not(implies(X0,not(X1)))) ),
inference(resolution,[status(thm)],[f2588,f570]) ).
fof(f2829,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,not(X1)),and(X1,X0)),or(implies(X0,not(X1)),and(X1,X0)))) ),
inference(resolution,[status(thm)],[f2588,f571]) ).
fof(f2830,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(X1)),and(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f530,f2588]) ).
fof(f2831,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,or(X1,and(X2,not(X3)))),and(and(not(X1),implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f615,f2588]) ).
fof(f2832,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,implies(X1,X2)),and(and(X1,not(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f475,f2588]) ).
fof(f2833,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(implies(X0,not(X1)),not(or(X1,X0))),equiv(not(X1),X0))) ),
inference(paramodulation,[status(thm)],[f569,f2588]) ).
fof(f2834,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(not(and(X0,implies(X1,X2))),not(implies(and(X1,not(X2)),X0))),equiv(and(X1,not(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f624,f2588]) ).
fof(f2835,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(or(X0,X1),not(implies(X1,not(X0)))),equiv(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f568,f2588]) ).
fof(f2836,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(implies(X0,X1),not(implies(X1,X0))),equiv(X1,X0))) ),
inference(paramodulation,[status(thm)],[f489,f2588]) ).
fof(f2837,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(and(X0,implies(X1,X2)),not(implies(and(X1,not(X2)),X0))),equiv(and(X1,not(X2)),X0))) ),
inference(forward_demodulation,[status(thm)],[f530,f2834]) ).
fof(f2838,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(and(X1,X0))
| ~ is_a_theorem(not(not(and(X0,X1)))) ),
inference(resolution,[status(thm)],[f2599,f570]) ).
fof(f2840,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(and(X0,X1)),and(X1,X0)),or(not(and(X0,X1)),and(X1,X0)))) ),
inference(resolution,[status(thm)],[f2599,f571]) ).
fof(f2841,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,and(X1,not(X2))),and(implies(X1,X2),not(X0)))) ),
inference(paramodulation,[status(thm)],[f615,f2599]) ).
fof(f2846,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(equiv(X0,X1)),and(implies(X1,X0),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f489,f2599]) ).
fof(f2854,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(equiv(X0,X1)),equiv(X1,X0))) ),
inference(forward_demodulation,[status(thm)],[f489,f2846]) ).
fof(f2859,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(equiv(X1,X0)))
| ~ is_a_theorem(not(equiv(X0,X1))) ),
inference(resolution,[status(thm)],[f2611,f570]) ).
fof(f2861,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| is_a_theorem(and(or(equiv(X0,X1),not(equiv(X1,X0))),or(equiv(X0,X1),not(equiv(X1,X0))))) ),
inference(resolution,[status(thm)],[f2611,f571]) ).
fof(f2863,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(not(X0),not(and(not(X1),implies(X2,X3)))) = and(or(X0,or(X1,and(X2,not(X3)))),or(and(not(X1),implies(X2,X3)),not(X0))) ),
inference(paramodulation,[status(thm)],[f615,f629]) ).
fof(f2866,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(not(and(not(X0),implies(X1,X2))),not(X3)) = and(or(and(not(X0),implies(X1,X2)),not(X3)),or(X3,or(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f615,f629]) ).
fof(f2870,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(or(X0,not(X1)),not(or(X1,not(X0)))),equiv(not(X1),not(X0)))) ),
inference(paramodulation,[status(thm)],[f629,f2588]) ).
fof(f2874,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(not(X0),not(X1)),implies(or(X1,not(X0)),not(or(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f629,f796]) ).
fof(f2876,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(implies(or(X0,or(X1,not(X2))),or(equiv(not(X1),not(X2)),implies(or(X2,not(X1)),X0)))) ),
inference(paramodulation,[status(thm)],[f629,f727]) ).
fof(f2879,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(or(X0,not(X1)),X2),or(and(X2,or(X1,not(X0))),not(equiv(not(X1),not(X0)))))) ),
inference(paramodulation,[status(thm)],[f629,f526]) ).
fof(f2880,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(implies(implies(X0,or(X1,not(X2))),or(equiv(not(X1),not(X2)),not(and(or(X2,not(X1)),X0))))) ),
inference(paramodulation,[status(thm)],[f629,f526]) ).
fof(f2881,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(or(X0,not(X0))))
| ~ is_a_theorem(not(equiv(not(X0),not(X0)))) ),
inference(paramodulation,[status(thm)],[f629,f879]) ).
fof(f2884,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(X1)),not(equiv(not(X0),not(X1))))) ),
inference(paramodulation,[status(thm)],[f629,f855]) ).
fof(f2889,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)],[f629,f250]) ).
fof(f2890,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,not(X1)))
| ~ is_a_theorem(equiv(not(X0),not(X1))) ),
inference(paramodulation,[status(thm)],[f629,f574]) ).
fof(f2893,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(not(X0),or(X1,and(X2,not(X3)))) = and(or(X0,or(X1,and(X2,not(X3)))),or(and(not(X1),implies(X2,X3)),not(X0))) ),
inference(forward_demodulation,[status(thm)],[f615,f2863]) ).
fof(f2898,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(or(X0,and(X1,not(X2))),not(X3)) = and(or(and(not(X0),implies(X1,X2)),not(X3)),or(X3,or(X0,and(X1,not(X2))))) ),
inference(forward_demodulation,[status(thm)],[f615,f2866]) ).
fof(f2905,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),not(and(X1,and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f2713,f715]) ).
fof(f2907,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(and(not(X0),or(X0,X0))) ),
inference(resolution,[status(thm)],[f2713,f172]) ).
fof(f2908,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(and(not(X0),or(X0,X0)),X1),implies(and(not(X0),or(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f2713,f571]) ).
fof(f2910,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(or(X0,and(X1,not(X2))),or(and(not(X0),implies(X1,X2)),and(not(X0),implies(X1,X2)))),X3)) ),
inference(paramodulation,[status(thm)],[f615,f2713]) ).
fof(f2911,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(implies(X0,X1),or(and(X0,not(X1)),and(X0,not(X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f475,f2713]) ).
fof(f2913,definition,
! [X0] :
( sQ100_spl
<=> ~ is_a_theorem(and(not(X0),or(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f2914,plain,
! [X0] :
( ~ sQ100_spl
| ~ is_a_theorem(and(not(X0),or(X0,X0))) ),
inference(component_clause,[status(thm)],[f2913]) ).
fof(f2916,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| sQ89_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f2907,f2913,f1124,f348,f367,f249,f474,f460,f171]) ).
fof(f2917,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(implies(X0,X1),implies(implies(X0,X1),and(X0,not(X1)))),X2)) ),
inference(forward_demodulation,[status(thm)],[f567,f2911]) ).
fof(f2918,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(implies(X0,X1),not(and(implies(X0,X1),implies(X0,X1)))),X2)) ),
inference(forward_demodulation,[status(thm)],[f566,f2917]) ).
fof(f2921,plain,
( sQ14_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1268]) ).
fof(f2932,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ100_spl
| ~ is_a_theorem(and(or(X0,and(X1,not(X2))),or(and(not(X0),implies(X1,X2)),and(not(X0),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f615,f2914]) ).
fof(f2933,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ100_spl
| ~ is_a_theorem(and(implies(X0,X1),or(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f475,f2914]) ).
fof(f2935,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ79_spl
| ~ is_a_theorem(and(implies(X0,X1),implies(implies(X0,X1),and(X0,not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f567,f2933]) ).
fof(f2936,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ100_spl
| ~ sQ79_spl
| ~ is_a_theorem(and(implies(X0,X1),not(and(implies(X0,X1),implies(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f566,f2935]) ).
fof(f2946,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(equiv(X1,X0))
| ~ is_a_theorem(not(not(equiv(X0,X1)))) ),
inference(resolution,[status(thm)],[f2854,f570]) ).
fof(f2948,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(equiv(X0,X1)),equiv(X1,X0)),or(not(equiv(X0,X1)),equiv(X1,X0)))) ),
inference(resolution,[status(thm)],[f2854,f571]) ).
fof(f2950,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| equiv(not(and(X0,implies(X1,X2))),and(and(X1,not(X2)),not(X0))) = and(not(equiv(X0,and(X1,not(X2)))),implies(and(and(X1,not(X2)),not(X0)),not(and(X0,implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f625,f625]) ).
fof(f2951,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)],[f569,f625]) ).
fof(f2952,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)],[f489,f625]) ).
fof(f2953,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)],[f530,f625]) ).
fof(f2959,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ79_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)],[f625,f615]) ).
fof(f2962,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| equiv(and(and(X0,not(X1)),not(X2)),not(and(X2,implies(X0,X1)))) = and(implies(and(and(X0,not(X1)),not(X2)),not(and(X2,implies(X0,X1)))),not(equiv(X2,and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f625,f624]) ).
fof(f2966,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(implies(and(X0,not(X1)),X2),not(not(and(X2,implies(X0,X1))))),equiv(X2,and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f625,f2588]) ).
fof(f2967,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,implies(X1,X2))),not(and(equiv(X0,and(X1,not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f625,f2478]) ).
fof(f2970,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(X0,and(X1,not(X2))),implies(implies(and(X1,not(X2)),X0),not(not(and(X0,implies(X1,X2))))))) ),
inference(paramodulation,[status(thm)],[f625,f796]) ).
fof(f2971,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(equiv(X0,and(X1,not(X2))),X3)),not(and(X0,implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f625,f1034]) ).
fof(f2972,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(implies(or(X0,not(and(X1,implies(X2,X3)))),or(equiv(X1,and(X2,not(X3))),implies(implies(and(X2,not(X3)),X1),X0)))) ),
inference(paramodulation,[status(thm)],[f625,f727]) ).
fof(f2973,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(X0,implies(X1,X2))))
| ~ is_a_theorem(not(implies(equiv(X0,and(X1,not(X2))),X3))) ),
inference(paramodulation,[status(thm)],[f625,f1485]) ).
fof(f2974,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(X0,implies(X1,X2))))
| ~ is_a_theorem(not(not(equiv(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f625,f1237]) ).
fof(f2977,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,implies(X1,X2))),implies(equiv(X0,and(X1,not(X2))),X3))) ),
inference(paramodulation,[status(thm)],[f625,f1378]) ).
fof(f2978,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(equiv(X0,and(X1,not(X2))),X3),not(and(X0,implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f625,f1033]) ).
fof(f2979,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,implies(X1,X2))),not(equiv(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f625,f855]) ).
fof(f2981,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f625,f250]) ).
fof(f2982,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(not(and(X0,implies(X1,X2))))
| ~ is_a_theorem(equiv(X0,and(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f625,f574]) ).
fof(f3014,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(and(X0,implies(X1,X2)),not(equiv(X1,X2))),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f987,f726]) ).
fof(f3015,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(equiv(X0,X1),not(and(implies(X1,X0),X2))),X2)) ),
inference(resolution,[status(thm)],[f987,f722]) ).
fof(f3017,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(and(X0,X1),not(and(X1,X2))),X2)) ),
inference(resolution,[status(thm)],[f987,f526]) ).
fof(f3020,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(equiv(X0,X0),X0)) ),
inference(resolution,[status(thm)],[f987,f573]) ).
fof(f3022,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(and(implies(X0,X1),implies(X0,X1)),X0)) ),
inference(resolution,[status(thm)],[f987,f349]) ).
fof(f3025,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,not(X0)))
| ~ is_a_theorem(implies(or(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f530,f987]) ).
fof(f3029,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(X0)
| ~ is_a_theorem(not(equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f3020,f570]) ).
fof(f3036,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1612,f585]) ).
fof(f3037,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1612,f316]) ).
fof(f3038,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(implies(implies(X1,X2),X3),or(and(X3,implies(X2,X1)),not(equiv(X2,X1)))))) ),
inference(resolution,[status(thm)],[f1612,f726]) ).
fof(f3039,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(implies(X1,implies(X2,X3)),or(equiv(X2,X3),not(and(implies(X3,X2),X1)))))) ),
inference(resolution,[status(thm)],[f1612,f722]) ).
fof(f3041,plain,
! [X0,X1,X2,X3] :
( ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),or(and(X2,X3),not(and(X3,X1)))))) ),
inference(resolution,[status(thm)],[f1612,f526]) ).
fof(f3043,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1612,f795]) ).
fof(f3045,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,implies(or(X1,X1),not(not(X1))))) ),
inference(resolution,[status(thm)],[f1612,f885]) ).
fof(f3047,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(or(X1,X2),or(and(X2,X3),implies(X3,X1))))) ),
inference(resolution,[status(thm)],[f1612,f727]) ).
fof(f3049,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(or(X1,X2),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1612,f1109]) ).
fof(f3050,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,implies(or(X1,X1),X1))) ),
inference(resolution,[status(thm)],[f1612,f1092]) ).
fof(f3051,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(and(not(implies(X1,X1)),X2),X3))) ),
inference(resolution,[status(thm)],[f1612,f1458]) ).
fof(f3052,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(and(not(X1),or(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f1612,f2713]) ).
fof(f3053,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f1612,f250]) ).
fof(f3054,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,implies(X1,not(not(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1612,f1595]) ).
fof(f3055,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f1612,f349]) ).
fof(f3057,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,implies(not(X0),X1)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(paramodulation,[status(thm)],[f530,f1612]) ).
fof(f3059,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,or(X0,X1)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f530,f3057]) ).
fof(f3063,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(or(and(and(and(X1,not(X2)),not(X0)),X3),not(and(X3,not(and(X0,implies(X1,X2)))))))
| ~ is_a_theorem(not(equiv(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f625,f835]) ).
fof(f3064,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| is_a_theorem(or(and(and(X1,not(not(X0))),X2),not(and(X2,or(X0,X1)))))
| ~ is_a_theorem(not(equiv(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f569,f835]) ).
fof(f3065,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(or(and(and(X1,not(X0)),X2),not(and(X2,implies(X0,X1)))))
| ~ is_a_theorem(not(equiv(X0,X1))) ),
inference(paramodulation,[status(thm)],[f489,f835]) ).
fof(f3066,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| is_a_theorem(or(and(and(not(X1),not(X2)),X3),not(and(X3,X0))))
| ~ is_a_theorem(not(and(X0,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f530,f835]) ).
fof(f3070,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(or(and(and(and(X1,not(X2)),not(X0)),X3),implies(X3,and(X0,implies(X1,X2)))))
| ~ is_a_theorem(not(equiv(X0,and(X1,not(X2))))) ),
inference(forward_demodulation,[status(thm)],[f475,f3063]) ).
fof(f3073,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(or(X1,X1),X1))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f3050,f570]) ).
fof(f3074,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(or(X0,X0),X0)))) ),
inference(resolution,[status(thm)],[f3050,f915]) ).
fof(f3075,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(or(X0,X0),X0),X1)) ),
inference(resolution,[status(thm)],[f3050,f1347]) ).
fof(f3077,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,implies(or(X1,X1),X1)),or(X0,implies(or(X1,X1),X1)))) ),
inference(resolution,[status(thm)],[f3050,f571]) ).
fof(f3079,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,not(and(or(and(X1,not(X2)),and(X1,not(X2))),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f566,f3050]) ).
fof(f3081,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| sQ65_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f3073,f1509,f408,f249,f367,f348,f171,f474,f460]) ).
fof(f3082,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,not(and(implies(implies(X1,X2),and(X1,not(X2))),implies(X1,X2))))) ),
inference(forward_demodulation,[status(thm)],[f567,f3079]) ).
fof(f3083,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,not(and(not(and(implies(X1,X2),implies(X1,X2))),implies(X1,X2))))) ),
inference(forward_demodulation,[status(thm)],[f566,f3082]) ).
fof(f3084,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(and(implies(X1,X2),implies(X1,X2)),and(X1,not(X2))))) ),
inference(forward_demodulation,[status(thm)],[f615,f3083]) ).
fof(f3089,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(and(X0,X1),X0)))) ),
inference(resolution,[status(thm)],[f3053,f915]) ).
fof(f3090,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(and(X0,X1),X0),X2)) ),
inference(resolution,[status(thm)],[f3053,f1347]) ).
fof(f3092,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(or(X0,implies(and(X1,X2),X1)),or(X0,implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f3053,f571]) ).
fof(f3094,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(and(and(and(X1,not(X2)),X3),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f566,f3053]) ).
fof(f3095,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(equiv(X1,and(X2,not(X3))),not(and(X1,implies(X2,X3)))))) ),
inference(paramodulation,[status(thm)],[f625,f3053]) ).
fof(f3096,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),not(X2)),or(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f629,f3053]) ).
fof(f3097,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f569,f3053]) ).
fof(f3098,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(equiv(and(X1,not(X2)),X3),implies(and(X1,not(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f624,f3053]) ).
fof(f3099,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(equiv(X1,not(X2)),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f568,f3053]) ).
fof(f3100,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f489,f3053]) ).
fof(f3103,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(X0,and(X0,X0))))) ),
inference(resolution,[status(thm)],[f3055,f915]) ).
fof(f3104,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,and(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f3055,f1347]) ).
fof(f3106,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,implies(X1,and(X1,X1))),or(X0,implies(X1,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f3055,f571]) ).
fof(f3116,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(or(X0,X0),X0))) ),
inference(resolution,[status(thm)],[f3075,f570]) ).
fof(f3120,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(or(X0,X0),X0),X1),or(implies(or(X0,X0),X0),X1))) ),
inference(resolution,[status(thm)],[f3075,f571]) ).
fof(f3121,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(or(and(X0,not(X1)),and(X0,not(X1))),implies(X0,X1))),X2)) ),
inference(paramodulation,[status(thm)],[f566,f3075]) ).
fof(f3123,definition,
! [X0] :
( sQ101_spl
<=> ~ is_a_theorem(not(implies(or(X0,X0),X0))) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f3124,plain,
! [X0] :
( ~ sQ101_spl
| ~ is_a_theorem(not(implies(or(X0,X0),X0))) ),
inference(component_clause,[status(thm)],[f3123]) ).
fof(f3126,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ89_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f3116,f3123,f1124,f348,f249,f367,f171,f474,f460]) ).
fof(f3127,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(implies(implies(X0,X1),and(X0,not(X1))),implies(X0,X1))),X2)) ),
inference(forward_demodulation,[status(thm)],[f567,f3121]) ).
fof(f3128,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(not(and(implies(X0,X1),implies(X0,X1))),implies(X0,X1))),X2)) ),
inference(forward_demodulation,[status(thm)],[f566,f3127]) ).
fof(f3129,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(and(implies(X0,X1),implies(X0,X1)),and(X0,not(X1))),X2)) ),
inference(forward_demodulation,[status(thm)],[f615,f3128]) ).
fof(f3133,plain,
( sQ26_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1269]) ).
fof(f3145,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ100_spl
| ~ is_a_theorem(and(implies(X0,X1),or(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f475,f2914]) ).
fof(f3151,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ101_spl
| ~ is_a_theorem(not(not(and(or(and(X0,not(X1)),and(X0,not(X1))),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f566,f3124]) ).
fof(f3153,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ101_spl
| ~ sQ79_spl
| ~ is_a_theorem(not(not(and(implies(implies(X0,X1),and(X0,not(X1))),implies(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f567,f3151]) ).
fof(f3154,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ101_spl
| ~ sQ79_spl
| ~ is_a_theorem(not(not(and(not(and(implies(X0,X1),implies(X0,X1))),implies(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f566,f3153]) ).
fof(f3155,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ101_spl
| ~ sQ79_spl
| ~ is_a_theorem(not(or(and(implies(X0,X1),implies(X0,X1)),and(X0,not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f615,f3154]) ).
fof(f3159,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(and(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f3090,f570]) ).
fof(f3163,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(and(X0,X1),X0),X2),or(implies(and(X0,X1),X0),X2))) ),
inference(resolution,[status(thm)],[f3090,f571]) ).
fof(f3164,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(and(and(X0,not(X1)),X2),implies(X0,X1))),X3)) ),
inference(paramodulation,[status(thm)],[f566,f3090]) ).
fof(f3165,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2)))),X3)) ),
inference(paramodulation,[status(thm)],[f625,f3090]) ).
fof(f3167,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),or(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f569,f3090]) ).
fof(f3170,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f489,f3090]) ).
fof(f3171,definition,
! [X0,X1] :
( sQ102_spl
<=> ~ is_a_theorem(not(implies(and(X0,X1),X0))) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f3172,plain,
! [X0,X1] :
( ~ sQ102_spl
| ~ is_a_theorem(not(implies(and(X0,X1),X0))) ),
inference(component_clause,[status(thm)],[f3171]) ).
fof(f3174,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ89_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f3159,f3171,f1124,f348,f249,f367,f171,f474,f460]) ).
fof(f3175,plain,
( sQ32_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1270]) ).
fof(f3187,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ100_spl
| ~ is_a_theorem(and(implies(X0,X1),or(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f475,f2914]) ).
fof(f3193,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ101_spl
| ~ is_a_theorem(not(not(and(or(and(X0,not(X1)),and(X0,not(X1))),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f566,f3124]) ).
fof(f3201,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ102_spl
| ~ is_a_theorem(not(not(and(and(and(X0,not(X1)),X2),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f566,f3172]) ).
fof(f3202,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ102_spl
| ~ is_a_theorem(not(implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f625,f3172]) ).
fof(f3204,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ102_spl
| ~ is_a_theorem(not(implies(equiv(not(X0),X1),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f569,f3172]) ).
fof(f3207,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ102_spl
| ~ is_a_theorem(not(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f489,f3172]) ).
fof(f3208,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(X0,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f3104,f570]) ).
fof(f3212,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,and(X0,X0)),X1),or(implies(X0,and(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f3104,f571]) ).
fof(f3213,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,and(not(X0),not(X0))),X1)) ),
inference(paramodulation,[status(thm)],[f530,f3104]) ).
fof(f3217,definition,
! [X0] :
( sQ103_spl
<=> ~ is_a_theorem(not(implies(X0,and(X0,X0)))) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f3218,plain,
! [X0] :
( ~ sQ103_spl
| ~ is_a_theorem(not(implies(X0,and(X0,X0)))) ),
inference(component_clause,[status(thm)],[f3217]) ).
fof(f3220,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ89_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f3208,f3217,f1124,f348,f249,f367,f171,f474,f460]) ).
fof(f3221,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(not(X0),or(X0,X0))),X1)) ),
inference(forward_demodulation,[status(thm)],[f2629,f3213]) ).
fof(f3224,plain,
( sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1271]) ).
fof(f3236,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ100_spl
| ~ is_a_theorem(and(implies(X0,X1),or(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f475,f2914]) ).
fof(f3242,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ101_spl
| ~ is_a_theorem(not(not(and(or(and(X0,not(X1)),and(X0,not(X1))),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f566,f3124]) ).
fof(f3257,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(or(X0,and(not(X0),not(X0))))) ),
inference(paramodulation,[status(thm)],[f530,f3218]) ).
fof(f3258,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(not(and(not(X0),implies(not(X0),X0))))) ),
inference(paramodulation,[status(thm)],[f566,f3218]) ).
fof(f3259,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(implies(or(X0,not(X0)),equiv(not(X0),not(X0))))) ),
inference(paramodulation,[status(thm)],[f629,f3218]) ).
fof(f3260,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(implies(implies(X0,X0),equiv(X0,X0)))) ),
inference(paramodulation,[status(thm)],[f489,f3218]) ).
fof(f3261,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(not(and(not(X0),or(X0,X0))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f3257]) ).
fof(f3269,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(not(implies(or(X0,X0),X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f3074,f1500]) ).
fof(f3270,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(implies(or(X0,X0),X0)),X1))) ),
inference(resolution,[status(thm)],[f3074,f862]) ).
fof(f3271,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(or(not(implies(or(X0,X0),X0)),not(implies(or(X0,X0),X0))))) ),
inference(resolution,[status(thm)],[f3074,f1504]) ).
fof(f3272,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,not(not(implies(or(X1,X1),X1))))) ),
inference(resolution,[status(thm)],[f3074,f1501]) ).
fof(f3273,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(not(implies(or(X1,X1),X1))))) ),
inference(resolution,[status(thm)],[f3074,f1499]) ).
fof(f3275,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(not(not(implies(or(X0,X0),X0))),not(not(implies(or(X0,X0),X0))))) ),
inference(resolution,[status(thm)],[f3074,f571]) ).
fof(f3276,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(not(and(or(and(X0,not(X1)),and(X0,not(X1))),implies(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f566,f3074]) ).
fof(f3279,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(not(and(implies(implies(X0,X1),and(X0,not(X1))),implies(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f567,f3276]) ).
fof(f3280,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(not(and(not(and(implies(X0,X1),implies(X0,X1))),implies(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f566,f3279]) ).
fof(f3281,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(or(and(implies(X0,X1),implies(X0,X1)),and(X0,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f615,f3280]) ).
fof(f3285,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(and(X1,not(X2)))
| ~ is_a_theorem(not(implies(X0,X0))) ),
inference(resolution,[status(thm)],[f623,f1075]) ).
fof(f3287,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(and(and(X1,not(X2)),not(X0)))
| ~ is_a_theorem(not(equiv(X0,and(X1,not(X2)))))
| ~ is_a_theorem(not(and(X0,implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f625,f623]) ).
fof(f3288,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)],[f569,f623]) ).
fof(f3289,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)],[f489,f623]) ).
fof(f3290,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)],[f530,f623]) ).
fof(f3292,definition,
! [X1,X2] :
( sQ104_spl
<=> is_a_theorem(and(X1,not(X2))) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f3293,plain,
! [X0,X1] :
( ~ sQ104_spl
| is_a_theorem(and(X0,not(X1))) ),
inference(component_clause,[status(thm)],[f3292]) ).
fof(f3295,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| sQ104_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f3285,f1121,f3292,f348,f367,f249,f171,f474,f460]) ).
fof(f3301,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(not(implies(and(X0,X1),X0)),X2),X3)) ),
inference(resolution,[status(thm)],[f3089,f1500]) ).
fof(f3302,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(implies(and(X0,X1),X0)),X2))) ),
inference(resolution,[status(thm)],[f3089,f862]) ).
fof(f3303,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(or(not(implies(and(X0,X1),X0)),not(implies(and(X0,X1),X0))))) ),
inference(resolution,[status(thm)],[f3089,f1504]) ).
fof(f3304,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,not(not(implies(and(X1,X2),X1))))) ),
inference(resolution,[status(thm)],[f3089,f1501]) ).
fof(f3305,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(not(implies(and(X1,X2),X1))))) ),
inference(resolution,[status(thm)],[f3089,f1499]) ).
fof(f3307,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(not(not(implies(and(X0,X1),X0))),not(not(implies(and(X0,X1),X0))))) ),
inference(resolution,[status(thm)],[f3089,f571]) ).
fof(f3308,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(not(and(and(and(X0,not(X1)),X2),implies(X0,X1)))))) ),
inference(paramodulation,[status(thm)],[f566,f3089]) ).
fof(f3309,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2))))))) ),
inference(paramodulation,[status(thm)],[f625,f3089]) ).
fof(f3311,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(equiv(not(X0),X1),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f569,f3089]) ).
fof(f3314,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(equiv(X0,X1),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f489,f3089]) ).
fof(f3319,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(not(implies(X0,and(X0,X0))),X1),X2)) ),
inference(resolution,[status(thm)],[f3103,f1500]) ).
fof(f3320,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(implies(X0,and(X0,X0))),X1))) ),
inference(resolution,[status(thm)],[f3103,f862]) ).
fof(f3321,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(or(not(implies(X0,and(X0,X0))),not(implies(X0,and(X0,X0)))))) ),
inference(resolution,[status(thm)],[f3103,f1504]) ).
fof(f3322,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,not(not(implies(X1,and(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3103,f1501]) ).
fof(f3323,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(not(implies(X1,and(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3103,f1499]) ).
fof(f3325,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(not(not(implies(X0,and(X0,X0)))),not(not(implies(X0,and(X0,X0)))))) ),
inference(resolution,[status(thm)],[f3103,f571]) ).
fof(f3326,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(or(X0,and(not(X0),not(X0)))))) ),
inference(paramodulation,[status(thm)],[f530,f3103]) ).
fof(f3331,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(not(and(not(X0),or(X0,X0)))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f3326]) ).
fof(f3346,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(or(and(or(and(X0,implies(X1,X2)),not(equiv(X1,X2))),implies(X0,implies(X2,X1))),not(equiv(X0,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f930,f726]) ).
fof(f3347,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(or(and(or(equiv(X0,X1),not(and(implies(X1,X0),X2))),implies(implies(X0,X1),X2)),not(equiv(implies(X0,X1),X2)))) ),
inference(resolution,[status(thm)],[f930,f722]) ).
fof(f3348,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(implies(X0,X0),implies(X1,X2)),not(equiv(X1,X2)))) ),
inference(resolution,[status(thm)],[f930,f2085]) ).
fof(f3349,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| is_a_theorem(or(and(or(and(X0,X1),not(and(X1,X2))),implies(X0,X2)),not(equiv(X0,X2)))) ),
inference(resolution,[status(thm)],[f930,f526]) ).
fof(f3350,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(or(X0,not(X0)),implies(X1,X2)),not(equiv(X1,X2)))) ),
inference(resolution,[status(thm)],[f930,f2081]) ).
fof(f3351,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(or(X0,not(X1)),implies(X0,X1)),not(equiv(X0,X1)))) ),
inference(resolution,[status(thm)],[f930,f795]) ).
fof(f3352,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(and(equiv(X0,X0),implies(X0,X0)),not(equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f930,f573]) ).
fof(f3353,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(or(and(not(not(implies(X0,X0))),implies(X1,X2)),not(equiv(X1,X2)))) ),
inference(resolution,[status(thm)],[f930,f1595]) ).
fof(f3354,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(and(and(implies(X0,X1),implies(X0,X1)),implies(X1,X0)),not(equiv(X1,X0)))) ),
inference(resolution,[status(thm)],[f930,f349]) ).
fof(f3356,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(or(and(and(X2,not(X3)),implies(X1,X0)),not(equiv(X1,X0))))
| ~ is_a_theorem(not(and(implies(X0,X1),implies(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f566,f930]) ).
fof(f3357,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(or(and(X2,implies(X1,not(X0))),not(equiv(X1,not(X0)))))
| ~ is_a_theorem(implies(or(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f530,f930]) ).
fof(f3358,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X3,implies(and(X1,not(X2)),X0)),not(equiv(and(X1,not(X2)),X0))))
| ~ is_a_theorem(implies(not(and(X0,implies(X1,X2))),X3)) ),
inference(paramodulation,[status(thm)],[f566,f930]) ).
fof(f3360,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X3,implies(and(X1,not(X2)),X0)),not(equiv(and(X1,not(X2)),X0))))
| ~ is_a_theorem(or(and(X0,implies(X1,X2)),X3)) ),
inference(forward_demodulation,[status(thm)],[f530,f3358]) ).
fof(f3362,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(implies(not(and(and(X0,not(X1)),implies(X0,X1))),equiv(and(X0,not(X1)),and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f566,f3260]) ).
fof(f3363,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ103_spl
| ~ sQ79_spl
| ~ is_a_theorem(not(or(and(and(X0,not(X1)),implies(X0,X1)),equiv(and(X0,not(X1)),and(X0,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f530,f3362]) ).
fof(f3364,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1597,f585]) ).
fof(f3365,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1597,f316]) ).
fof(f3366,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),or(and(X3,implies(X2,X1)),not(equiv(X2,X1)))))) ),
inference(resolution,[status(thm)],[f1597,f726]) ).
fof(f3367,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),or(equiv(X2,X3),not(and(implies(X3,X2),X1)))))) ),
inference(resolution,[status(thm)],[f1597,f722]) ).
fof(f3369,plain,
! [X0,X1,X2,X3] :
( ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),or(and(X2,X3),not(and(X3,X1)))))) ),
inference(resolution,[status(thm)],[f1597,f526]) ).
fof(f3371,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1597,f795]) ).
fof(f3373,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(or(X1,X1),not(not(X1))))) ),
inference(resolution,[status(thm)],[f1597,f885]) ).
fof(f3375,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),or(and(X2,X3),implies(X3,X1))))) ),
inference(resolution,[status(thm)],[f1597,f727]) ).
fof(f3377,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1597,f1109]) ).
fof(f3378,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(or(X1,X1),X1))) ),
inference(resolution,[status(thm)],[f1597,f1092]) ).
fof(f3379,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(and(not(implies(X1,X1)),X2),X3))) ),
inference(resolution,[status(thm)],[f1597,f1458]) ).
fof(f3380,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(and(not(X1),or(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f1597,f2713]) ).
fof(f3381,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f1597,f250]) ).
fof(f3382,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(X1,not(not(implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1597,f1595]) ).
fof(f3383,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f1597,f349]) ).
fof(f3384,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(implies(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f1597,f1074]) ).
fof(f3385,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X2,implies(not(X0),X1)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(paramodulation,[status(thm)],[f530,f1597]) ).
fof(f3387,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X2,or(X0,X1)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f530,f3385]) ).
fof(f3391,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3384,f1597]) ).
fof(f3392,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f3384,f1612]) ).
fof(f3393,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,X0),X1),not(and(X1,X2)))) ),
inference(resolution,[status(thm)],[f3384,f715]) ).
fof(f3395,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3384,f172]) ).
fof(f3396,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(X0,implies(X1,X1)),implies(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3384,f571]) ).
fof(f3398,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(implies(X0,or(X1,not(X1)))) ),
inference(paramodulation,[status(thm)],[f530,f3384]) ).
fof(f3399,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(implies(X0,not(and(and(X1,not(X2)),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f566,f3384]) ).
fof(f3400,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| sQ93_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f3395,f1635,f1516,f367,f348,f249,f474,f460,f171]) ).
fof(f3403,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3398,f1597]) ).
fof(f3404,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f3398,f1612]) ).
fof(f3405,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,not(X0)),X1),not(and(X1,X2)))) ),
inference(resolution,[status(thm)],[f3398,f715]) ).
fof(f3407,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(or(X1,not(X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3398,f172]) ).
fof(f3408,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(X0,or(X1,not(X1))),implies(X0,or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3398,f571]) ).
fof(f3411,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(implies(X0,or(and(not(X1),implies(X2,X3)),or(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f615,f3398]) ).
fof(f3413,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| sQ92_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f3407,f1635,f1512,f367,f348,f249,f474,f460,f171]) ).
fof(f3416,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(and(implies(or(X0,X0),X0),implies(X1,X2)),not(equiv(X1,X2)))) ),
inference(resolution,[status(thm)],[f3378,f930]) ).
fof(f3418,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(X1,implies(or(X2,X2),X2)))) ),
inference(resolution,[status(thm)],[f3378,f1597]) ).
fof(f3419,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,implies(or(X2,X2),X2)))) ),
inference(resolution,[status(thm)],[f3378,f1612]) ).
fof(f3420,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(and(implies(or(X0,X0),X0),X1),not(and(X1,X2)))) ),
inference(resolution,[status(thm)],[f3378,f715]) ).
fof(f3422,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(or(X1,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3378,f172]) ).
fof(f3423,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(X0,implies(or(X1,X1),X1)),implies(X0,implies(or(X1,X1),X1)))) ),
inference(resolution,[status(thm)],[f3378,f571]) ).
fof(f3425,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(and(or(and(X1,not(X2)),and(X1,not(X2))),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f566,f3378]) ).
fof(f3427,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| sQ65_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f3422,f1635,f408,f249,f367,f348,f474,f460,f171]) ).
fof(f3428,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(and(implies(implies(X1,X2),and(X1,not(X2))),implies(X1,X2))))) ),
inference(forward_demodulation,[status(thm)],[f567,f3425]) ).
fof(f3429,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(and(not(and(implies(X1,X2),implies(X1,X2))),implies(X1,X2))))) ),
inference(forward_demodulation,[status(thm)],[f566,f3428]) ).
fof(f3430,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,or(and(implies(X1,X2),implies(X1,X2)),and(X1,not(X2))))) ),
inference(forward_demodulation,[status(thm)],[f615,f3429]) ).
fof(f3434,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(equiv(X0,X1),not(and(implies(X1,X0),equiv(X0,X1))))) ),
inference(resolution,[status(thm)],[f888,f316]) ).
fof(f3435,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(or(equiv(X0,X1),not(and(implies(X1,X0),or(implies(X0,X1),implies(X0,X1)))))) ),
inference(resolution,[status(thm)],[f888,f1092]) ).
fof(f3436,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(equiv(X0,X1),not(and(implies(X1,X0),and(not(implies(X2,X2)),X3))))) ),
inference(resolution,[status(thm)],[f888,f1458]) ).
fof(f3437,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(equiv(X0,X1),not(and(implies(X1,X0),and(not(X2),or(X2,X2)))))) ),
inference(resolution,[status(thm)],[f888,f2713]) ).
fof(f3438,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(equiv(X0,X1),not(and(implies(X1,X0),and(implies(X0,X1),X2))))) ),
inference(resolution,[status(thm)],[f888,f250]) ).
fof(f3439,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(or(equiv(or(X0,X0),X0),not(and(implies(X0,or(X0,X0)),X1)))) ),
inference(resolution,[status(thm)],[f888,f3378]) ).
fof(f3442,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(or(equiv(X1,X2),not(and(implies(X2,X1),not(X0)))))
| ~ is_a_theorem(or(X0,implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f530,f888]) ).
fof(f3443,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(or(equiv(not(X1),X2),not(and(implies(X2,not(X1)),X0))))
| ~ is_a_theorem(implies(X0,or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f530,f888]) ).
fof(f3444,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| is_a_theorem(or(equiv(X1,and(X2,not(X3))),not(and(implies(and(X2,not(X3)),X1),X0))))
| ~ is_a_theorem(implies(X0,not(and(X1,implies(X2,X3))))) ),
inference(paramodulation,[status(thm)],[f566,f888]) ).
fof(f3446,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| is_a_theorem(or(equiv(X1,X2),implies(implies(X2,X1),X0)))
| ~ is_a_theorem(or(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f475,f3442]) ).
fof(f3447,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(and(X0,X1),X0),implies(X2,X3)),not(equiv(X2,X3)))) ),
inference(resolution,[status(thm)],[f3381,f930]) ).
fof(f3449,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(and(X0,X1),X0),not(and(implies(X0,and(X0,X1)),X2)))) ),
inference(resolution,[status(thm)],[f3381,f888]) ).
fof(f3450,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f3381,f1597]) ).
fof(f3451,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,implies(and(X2,X3),X2)))) ),
inference(resolution,[status(thm)],[f3381,f1612]) ).
fof(f3452,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(and(X0,X1),X0),X2),not(and(X2,X3)))) ),
inference(resolution,[status(thm)],[f3381,f715]) ).
fof(f3455,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(X0,implies(and(X1,X2),X1)),implies(X0,implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f3381,f571]) ).
fof(f3457,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,not(and(and(and(X1,not(X2)),X3),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f566,f3381]) ).
fof(f3458,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(equiv(X1,and(X2,not(X3))),not(and(X1,implies(X2,X3)))))) ),
inference(paramodulation,[status(thm)],[f625,f3381]) ).
fof(f3459,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),not(X2)),or(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f629,f3381]) ).
fof(f3460,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f569,f3381]) ).
fof(f3461,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(equiv(and(X1,not(X2)),X3),implies(and(X1,not(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f624,f3381]) ).
fof(f3462,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f568,f3381]) ).
fof(f3463,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f489,f3381]) ).
fof(f3465,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(and(implies(X0,and(X0,X0)),implies(X1,X2)),not(equiv(X1,X2)))) ),
inference(resolution,[status(thm)],[f3383,f930]) ).
fof(f3467,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(equiv(X0,and(X0,X0)),not(and(implies(and(X0,X0),X0),X1)))) ),
inference(resolution,[status(thm)],[f3383,f888]) ).
fof(f3468,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f3383,f1597]) ).
fof(f3469,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f3383,f1612]) ).
fof(f3470,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(and(implies(X0,and(X0,X0)),X1),not(and(X1,X2)))) ),
inference(resolution,[status(thm)],[f3383,f715]) ).
fof(f3473,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X1,X1))),implies(X0,implies(X1,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f3383,f571]) ).
fof(f3483,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,implies(X1,X1)),implies(X2,X3)),not(equiv(X2,X3)))) ),
inference(resolution,[status(thm)],[f3391,f930]) ).
fof(f3484,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f3391,f987]) ).
fof(f3485,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(X0,implies(X1,X1)),not(and(implies(implies(X1,X1),X0),X2)))) ),
inference(resolution,[status(thm)],[f3391,f888]) ).
fof(f3486,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3391,f1597]) ).
fof(f3487,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3391,f1612]) ).
fof(f3488,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,implies(X1,X1)),X2),not(and(X2,X3)))) ),
inference(resolution,[status(thm)],[f3391,f715]) ).
fof(f3490,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,implies(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3391,f172]) ).
fof(f3491,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(X0,implies(X1,implies(X2,X2))),implies(X0,implies(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3391,f571]) ).
fof(f3493,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f530,f3391]) ).
fof(f3495,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(X1,not(and(and(X2,not(X3)),implies(X2,X3)))))) ),
inference(paramodulation,[status(thm)],[f566,f3391]) ).
fof(f3496,definition,
! [X1,X2] :
( sQ105_spl
<=> is_a_theorem(implies(X1,implies(X2,X2))) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f3497,plain,
! [X0,X1] :
( ~ sQ105_spl
| is_a_theorem(implies(X0,implies(X1,X1))) ),
inference(component_clause,[status(thm)],[f3496]) ).
fof(f3499,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ105_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f3490,f1635,f3496,f348,f249,f367,f460,f474,f171]) ).
fof(f3500,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,implies(X2,X2)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f3392,f570]) ).
fof(f3501,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(X0,implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3392,f915]) ).
fof(f3504,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,implies(X1,implies(X2,X2))),or(X0,implies(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3392,f571]) ).
fof(f3506,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,or(X1,implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f530,f3392]) ).
fof(f3508,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,not(and(and(X2,not(X3)),implies(X2,X3)))))) ),
inference(paramodulation,[status(thm)],[f566,f3392]) ).
fof(f3509,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ105_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f3500,f1509,f3496,f348,f249,f367,f171,f474,f460]) ).
fof(f3510,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3484,f570]) ).
fof(f3514,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,implies(X1,X1)),X2),or(implies(X0,implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3484,f571]) ).
fof(f3515,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,implies(X1,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f530,f3484]) ).
fof(f3516,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,or(X1,not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f530,f3484]) ).
fof(f3517,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(and(and(X1,not(X2)),implies(X1,X2)))),X3)) ),
inference(paramodulation,[status(thm)],[f566,f3484]) ).
fof(f3518,definition,
! [X0,X1] :
( sQ106_spl
<=> ~ is_a_theorem(not(implies(X0,implies(X1,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f3519,plain,
! [X0,X1] :
( ~ sQ106_spl
| ~ is_a_theorem(not(implies(X0,implies(X1,X1)))) ),
inference(component_clause,[status(thm)],[f3518]) ).
fof(f3521,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ89_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f3510,f3518,f1124,f348,f249,f367,f171,f474,f460]) ).
fof(f3522,plain,
( sQ11_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1272]) ).
fof(f3526,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ100_spl
| ~ is_a_theorem(and(implies(X0,X1),or(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f475,f2914]) ).
fof(f3532,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ101_spl
| ~ is_a_theorem(not(not(and(or(and(X0,not(X1)),and(X0,not(X1))),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f566,f3124]) ).
fof(f3548,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(not(and(not(X0),implies(not(X0),X0))))) ),
inference(paramodulation,[status(thm)],[f566,f3218]) ).
fof(f3554,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ106_spl
| ~ is_a_theorem(not(or(X0,implies(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f530,f3519]) ).
fof(f3555,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ106_spl
| ~ is_a_theorem(not(implies(X0,or(X1,not(X1))))) ),
inference(paramodulation,[status(thm)],[f530,f3519]) ).
fof(f3556,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ106_spl
| ~ is_a_theorem(not(implies(X0,not(and(and(X1,not(X2)),implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f566,f3519]) ).
fof(f3558,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ106_spl
| ~ is_a_theorem(not(or(X0,or(X1,not(X1))))) ),
inference(paramodulation,[status(thm)],[f530,f3554]) ).
fof(f3559,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ106_spl
| ~ is_a_theorem(not(or(X0,not(and(and(X1,not(X2)),implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f566,f3554]) ).
fof(f3560,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,implies(X1,X1)),implies(X2,X3)),not(equiv(X2,X3)))) ),
inference(resolution,[status(thm)],[f3493,f930]) ).
fof(f3562,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3493,f1597]) ).
fof(f3563,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f3493,f1612]) ).
fof(f3564,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,implies(X1,X1)),X2),not(and(X2,X3)))) ),
inference(resolution,[status(thm)],[f3493,f715]) ).
fof(f3566,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,implies(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3493,f172]) ).
fof(f3567,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(X0,or(X1,implies(X2,X2))),implies(X0,or(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3493,f571]) ).
fof(f3570,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,or(X1,or(X2,not(X2))))) ),
inference(paramodulation,[status(thm)],[f530,f3493]) ).
fof(f3571,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,or(X1,not(and(and(X2,not(X3)),implies(X2,X3)))))) ),
inference(paramodulation,[status(thm)],[f566,f3493]) ).
fof(f3572,definition,
! [X1,X2] :
( sQ107_spl
<=> is_a_theorem(or(X1,implies(X2,X2))) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f3573,plain,
! [X0,X1] :
( ~ sQ107_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(component_clause,[status(thm)],[f3572]) ).
fof(f3575,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ107_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f3566,f1635,f3572,f348,f249,f367,f474,f460,f171]) ).
fof(f3576,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,implies(X2,X2)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f3506,f570]) ).
fof(f3577,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(or(X0,implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f3506,f915]) ).
fof(f3580,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,or(X1,implies(X2,X2))),or(X0,or(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f3506,f571]) ).
fof(f3583,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,or(X1,or(X2,not(X2))))) ),
inference(paramodulation,[status(thm)],[f530,f3506]) ).
fof(f3584,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,or(X1,not(and(and(X2,not(X3)),implies(X2,X3)))))) ),
inference(paramodulation,[status(thm)],[f566,f3506]) ).
fof(f3585,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ107_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f3576,f1509,f3572,f348,f249,f367,f171,f474,f460]) ).
fof(f3586,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f3515,f570]) ).
fof(f3590,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(or(X0,implies(X1,X1)),X2),or(or(X0,implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f3515,f571]) ).
fof(f3592,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,or(X1,not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f530,f3515]) ).
fof(f3593,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(and(and(X1,not(X2)),implies(X1,X2)))),X3)) ),
inference(paramodulation,[status(thm)],[f566,f3515]) ).
fof(f3594,definition,
! [X0,X1] :
( sQ108_spl
<=> ~ is_a_theorem(not(or(X0,implies(X1,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f3595,plain,
! [X0,X1] :
( ~ sQ108_spl
| ~ is_a_theorem(not(or(X0,implies(X1,X1)))) ),
inference(component_clause,[status(thm)],[f3594]) ).
fof(f3597,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ89_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f3586,f3594,f1124,f348,f249,f367,f171,f474,f460]) ).
fof(f3598,plain,
( sQ74_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1273]) ).
fof(f3602,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ100_spl
| ~ is_a_theorem(and(implies(X0,X1),or(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f475,f2914]) ).
fof(f3608,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ101_spl
| ~ is_a_theorem(not(not(and(or(and(X0,not(X1)),and(X0,not(X1))),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f566,f3124]) ).
fof(f3624,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(not(and(not(X0),implies(not(X0),X0))))) ),
inference(paramodulation,[status(thm)],[f566,f3218]) ).
fof(f3641,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(not(implies(X0,implies(X1,X1))),X2),X3)) ),
inference(resolution,[status(thm)],[f3501,f1500]) ).
fof(f3642,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(implies(X0,implies(X1,X1))),X2))) ),
inference(resolution,[status(thm)],[f3501,f862]) ).
fof(f3643,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(or(not(implies(X0,implies(X1,X1))),not(implies(X0,implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3501,f1504]) ).
fof(f3644,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,not(not(implies(X1,implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3501,f1501]) ).
fof(f3645,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(not(implies(X1,implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3501,f1499]) ).
fof(f3647,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(not(not(implies(X0,implies(X1,X1)))),not(not(implies(X0,implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3501,f571]) ).
fof(f3649,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(X0,or(X1,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f530,f3501]) ).
fof(f3650,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(X0,not(and(and(X1,not(X2)),implies(X1,X2))))))) ),
inference(paramodulation,[status(thm)],[f566,f3501]) ).
fof(f3656,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(not(or(X0,implies(X1,X1))),X2),X3)) ),
inference(resolution,[status(thm)],[f3577,f1500]) ).
fof(f3657,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(or(X0,implies(X1,X1))),X2))) ),
inference(resolution,[status(thm)],[f3577,f862]) ).
fof(f3658,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(or(not(or(X0,implies(X1,X1))),not(or(X0,implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3577,f1504]) ).
fof(f3659,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,not(not(or(X1,implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3577,f1501]) ).
fof(f3660,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(not(or(X1,implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f3577,f1499]) ).
fof(f3662,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(not(not(or(X0,implies(X1,X1)))),not(not(or(X0,implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f3577,f571]) ).
fof(f3664,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(or(X0,or(X1,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f530,f3577]) ).
fof(f3665,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(or(X0,not(and(and(X1,not(X2)),implies(X1,X2))))))) ),
inference(paramodulation,[status(thm)],[f566,f3577]) ).
fof(f3674,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ106_spl
| ~ is_a_theorem(not(implies(X0,or(and(not(X1),implies(X2,X3)),or(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f615,f3555]) ).
fof(f3680,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ106_spl
| ~ is_a_theorem(not(or(X0,or(and(not(X1),implies(X2,X3)),or(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f615,f3558]) ).
fof(f3684,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,or(X1,not(X1))),implies(X2,X3)),not(equiv(X2,X3)))) ),
inference(resolution,[status(thm)],[f3403,f930]) ).
fof(f3686,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(X0,or(X1,not(X1))),not(and(implies(or(X1,not(X1)),X0),X2)))) ),
inference(resolution,[status(thm)],[f3403,f888]) ).
fof(f3687,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,or(X3,not(X3)))))) ),
inference(resolution,[status(thm)],[f3403,f1597]) ).
fof(f3688,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,or(X3,not(X3)))))) ),
inference(resolution,[status(thm)],[f3403,f1612]) ).
fof(f3689,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,or(X1,not(X1))),X2),not(and(X2,X3)))) ),
inference(resolution,[status(thm)],[f3403,f715]) ).
fof(f3691,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,or(X2,not(X2))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3403,f172]) ).
fof(f3692,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(X0,implies(X1,or(X2,not(X2)))),implies(X0,implies(X1,or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3403,f571]) ).
fof(f3696,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(X1,or(and(not(X2),implies(X3,X4)),or(X2,and(X3,not(X4))))))) ),
inference(paramodulation,[status(thm)],[f615,f3403]) ).
fof(f3698,definition,
! [X1,X2] :
( sQ109_spl
<=> is_a_theorem(implies(X1,or(X2,not(X2)))) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f3699,plain,
! [X0,X1] :
( ~ sQ109_spl
| is_a_theorem(implies(X0,or(X1,not(X1)))) ),
inference(component_clause,[status(thm)],[f3698]) ).
fof(f3701,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ109_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f3691,f1635,f3698,f348,f249,f367,f460,f474,f171]) ).
fof(f3704,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(equiv(X0,X1)),X2),implies(X2,equiv(X1,X0)))) ),
inference(resolution,[status(thm)],[f730,f2611]) ).
fof(f3708,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,X1),X2),implies(X2,or(X3,not(X0))))) ),
inference(resolution,[status(thm)],[f730,f1344]) ).
fof(f3711,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,not(X1)),X2),implies(X2,or(X1,X3)))) ),
inference(resolution,[status(thm)],[f730,f1415]) ).
fof(f3712,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,not(X1)),X2),implies(X2,or(X1,X3)))) ),
inference(resolution,[status(thm)],[f730,f1421]) ).
fof(f3713,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,X1),X2),implies(X2,or(X3,X0)))) ),
inference(resolution,[status(thm)],[f730,f1069]) ).
fof(f3714,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(or(X0,X1)),X2),implies(X2,or(X1,X0)))) ),
inference(resolution,[status(thm)],[f730,f1469]) ).
fof(f3715,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(X0),X1),implies(X1,or(X0,X2)))) ),
inference(resolution,[status(thm)],[f730,f1247]) ).
fof(f3716,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,X1),X2),implies(X2,and(not(X1),X0)))) ),
inference(resolution,[status(thm)],[f730,f1103]) ).
fof(f3718,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(and(X0,X1)),X2),implies(X2,and(X1,X0)))) ),
inference(resolution,[status(thm)],[f730,f1084]) ).
fof(f3722,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,implies(and(X0,X2),X3)))) ),
inference(resolution,[status(thm)],[f730,f1033]) ).
fof(f3725,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(and(X0,X1),X2),implies(X2,implies(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f730,f2588]) ).
fof(f3726,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,X1),X2),implies(X2,implies(X3,not(X0))))) ),
inference(resolution,[status(thm)],[f730,f1071]) ).
fof(f3729,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(and(not(X0),X1),X2),implies(X2,implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f730,f2575]) ).
fof(f3732,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,X1),X2),implies(X2,implies(X1,X3)))) ),
inference(resolution,[status(thm)],[f730,f1380]) ).
fof(f3733,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,X1),X2),implies(X2,implies(X1,X3)))) ),
inference(resolution,[status(thm)],[f730,f1376]) ).
fof(f3736,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(equiv(X0,X1),X2),implies(X2,not(equiv(X1,X0))))) ),
inference(resolution,[status(thm)],[f730,f2854]) ).
fof(f3737,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,X1),X2),implies(X2,not(equiv(X0,X1))))) ),
inference(resolution,[status(thm)],[f730,f1242]) ).
fof(f3740,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,not(and(and(X0,X2),X3))))) ),
inference(resolution,[status(thm)],[f730,f1034]) ).
fof(f3741,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(and(X0,X1),X2),implies(X2,not(and(X1,X0))))) ),
inference(resolution,[status(thm)],[f730,f2599]) ).
fof(f3743,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,X1),X2),implies(X2,not(or(X1,X0))))) ),
inference(resolution,[status(thm)],[f730,f2570]) ).
fof(f3744,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,not(or(X0,X0))))) ),
inference(resolution,[status(thm)],[f730,f1387]) ).
fof(f3746,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(and(and(X0,X0),X1),implies(X1,not(X0)))) ),
inference(resolution,[status(thm)],[f730,f1373]) ).
fof(f3749,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,implies(X1,X1)),X2),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f730,f3506]) ).
fof(f3750,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,not(X1)),X2),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f730,f1374]) ).
fof(f3751,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,not(X0)),X1),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f730,f1375]) ).
fof(f3752,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(and(implies(or(X0,X0),X0),X1),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f730,f3050]) ).
fof(f3753,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(and(X0,X1),X0),X2),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f730,f3053]) ).
fof(f3754,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(and(X0,X1),X2),X3),implies(X3,X0))) ),
inference(resolution,[status(thm)],[f730,f1378]) ).
fof(f3755,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,implies(X1,X1)),X2),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f730,f3392]) ).
fof(f3756,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(and(implies(X0,and(X0,X0)),X1),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f730,f3055]) ).
fof(f3757,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,not(X1)),X2),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f730,f1379]) ).
fof(f3759,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,X0),X1),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f730,f1381]) ).
fof(f3760,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(and(not(not(implies(X0,X0))),X1),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f730,f1610]) ).
fof(f3761,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(and(and(X0,X1),X2)),X3),implies(X3,X0))) ),
inference(resolution,[status(thm)],[f730,f2478]) ).
fof(f3763,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(or(X0,X0)),X1),implies(X1,X0))) ),
inference(resolution,[status(thm)],[f730,f1197]) ).
fof(f3767,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,or(X1,not(X1))),X2),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f3404,f730]) ).
fof(f3768,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,or(X2,not(X2))))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f3404,f570]) ).
fof(f3772,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,implies(X1,or(X2,not(X2)))),or(X0,implies(X1,or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3404,f571]) ).
fof(f3776,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,or(and(not(X2),implies(X3,X4)),or(X2,and(X3,not(X4))))))) ),
inference(paramodulation,[status(thm)],[f615,f3404]) ).
fof(f3778,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ109_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f3768,f1509,f3698,f348,f249,f367,f171,f474,f460]) ).
fof(f3782,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(X0,or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3516,f570]) ).
fof(f3786,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,or(X1,not(X1))),X2),or(implies(X0,or(X1,not(X1))),X2))) ),
inference(resolution,[status(thm)],[f3516,f571]) ).
fof(f3789,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,or(and(not(X1),implies(X2,X3)),or(X1,and(X2,not(X3))))),X4)) ),
inference(paramodulation,[status(thm)],[f615,f3516]) ).
fof(f3791,definition,
! [X0,X1] :
( sQ110_spl
<=> ~ is_a_theorem(not(implies(X0,or(X1,not(X1))))) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f3792,plain,
! [X0,X1] :
( ~ sQ110_spl
| ~ is_a_theorem(not(implies(X0,or(X1,not(X1))))) ),
inference(component_clause,[status(thm)],[f3791]) ).
fof(f3794,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ89_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3782,f3791,f1124,f348,f249,f367,f171,f474,f460]) ).
fof(f3797,plain,
( sQ57_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1274]) ).
fof(f3801,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ100_spl
| ~ is_a_theorem(and(implies(X0,X1),or(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f475,f2914]) ).
fof(f3807,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ101_spl
| ~ is_a_theorem(not(not(and(or(and(X0,not(X1)),and(X0,not(X1))),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f566,f3124]) ).
fof(f3823,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(not(and(not(X0),implies(not(X0),X0))))) ),
inference(paramodulation,[status(thm)],[f566,f3218]) ).
fof(f3854,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,or(X1,not(X1))),implies(X2,X3)),not(equiv(X2,X3)))) ),
inference(resolution,[status(thm)],[f3570,f930]) ).
fof(f3856,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,or(X3,not(X3)))))) ),
inference(resolution,[status(thm)],[f3570,f1597]) ).
fof(f3857,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,or(X2,or(X3,not(X3)))))) ),
inference(resolution,[status(thm)],[f3570,f1612]) ).
fof(f3858,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,or(X1,not(X1))),X2),not(and(X2,X3)))) ),
inference(resolution,[status(thm)],[f3570,f715]) ).
fof(f3860,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,or(X2,not(X2))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3570,f172]) ).
fof(f3861,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(X0,or(X1,or(X2,not(X2)))),implies(X0,or(X1,or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3570,f571]) ).
fof(f3865,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,or(X1,or(and(not(X2),implies(X3,X4)),or(X2,and(X3,not(X4))))))) ),
inference(paramodulation,[status(thm)],[f615,f3570]) ).
fof(f3867,definition,
! [X1,X2] :
( sQ111_spl
<=> is_a_theorem(or(X1,or(X2,not(X2)))) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f3868,plain,
! [X0,X1] :
( ~ sQ111_spl
| is_a_theorem(or(X0,or(X1,not(X1)))) ),
inference(component_clause,[status(thm)],[f3867]) ).
fof(f3870,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ111_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f3860,f1635,f3867,f348,f249,f367,f474,f460,f171]) ).
fof(f3873,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,or(X1,not(X1))),X2),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f3583,f730]) ).
fof(f3874,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,or(X2,not(X2))))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f3583,f570]) ).
fof(f3878,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,or(X1,or(X2,not(X2)))),or(X0,or(X1,or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f3583,f571]) ).
fof(f3882,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,or(X1,or(and(not(X2),implies(X3,X4)),or(X2,and(X3,not(X4))))))) ),
inference(paramodulation,[status(thm)],[f615,f3583]) ).
fof(f3884,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ111_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f3874,f1509,f3867,f348,f249,f367,f171,f474,f460]) ).
fof(f3888,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(X0,or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f3592,f570]) ).
fof(f3892,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(or(X0,or(X1,not(X1))),X2),or(or(X0,or(X1,not(X1))),X2))) ),
inference(resolution,[status(thm)],[f3592,f571]) ).
fof(f3895,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,or(and(not(X1),implies(X2,X3)),or(X1,and(X2,not(X3))))),X4)) ),
inference(paramodulation,[status(thm)],[f615,f3592]) ).
fof(f3897,definition,
! [X0,X1] :
( sQ112_spl
<=> ~ is_a_theorem(not(or(X0,or(X1,not(X1))))) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f3898,plain,
! [X0,X1] :
( ~ sQ112_spl
| ~ is_a_theorem(not(or(X0,or(X1,not(X1))))) ),
inference(component_clause,[status(thm)],[f3897]) ).
fof(f3900,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ89_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f3888,f3897,f1124,f348,f249,f367,f171,f474,f460]) ).
fof(f3903,plain,
( sQ17_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1276]) ).
fof(f3907,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ100_spl
| ~ is_a_theorem(and(implies(X0,X1),or(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f475,f2914]) ).
fof(f3913,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ101_spl
| ~ is_a_theorem(not(not(and(or(and(X0,not(X1)),and(X0,not(X1))),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f566,f3124]) ).
fof(f3929,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(not(and(not(X0),implies(not(X0),X0))))) ),
inference(paramodulation,[status(thm)],[f566,f3218]) ).
fof(f3968,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(implies(not(and(and(X0,not(X1)),implies(X0,X1))),equiv(and(X0,not(X1)),and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f566,f3260]) ).
fof(f3970,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),not(X1))) ),
inference(resolution,[status(thm)],[f964,f1103]) ).
fof(f3972,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,X1)),X1)) ),
inference(resolution,[status(thm)],[f964,f1084]) ).
fof(f3977,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(and(X1,X2))),X1)) ),
inference(resolution,[status(thm)],[f964,f1374]) ).
fof(f3981,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(and(and(X0,X1),X2),X3),X0)) ),
inference(resolution,[status(thm)],[f964,f1378]) ).
fof(f3985,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(and(X1,X2))),X1)) ),
inference(resolution,[status(thm)],[f964,f1379]) ).
fof(f3989,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(and(and(X0,X1),X2),X3)),X0)) ),
inference(resolution,[status(thm)],[f964,f2478]) ).
fof(f3991,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(or(and(X0,X1),and(X0,X1))),X0)) ),
inference(resolution,[status(thm)],[f964,f1197]) ).
fof(f3994,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X3,not(and(X0,implies(X1,X2)))))
| ~ is_a_theorem(or(equiv(X0,and(X1,not(X2))),X3)) ),
inference(paramodulation,[status(thm)],[f625,f964]) ).
fof(f4000,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(X0),X1),implies(X1,implies(X2,X0)))) ),
inference(resolution,[status(thm)],[f3970,f730]) ).
fof(f4001,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(X1))
| ~ is_a_theorem(not(implies(X0,X1))) ),
inference(resolution,[status(thm)],[f3970,f570]) ).
fof(f4002,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(X0),implies(X1,X0))) ),
inference(resolution,[status(thm)],[f3970,f1347]) ).
fof(f4003,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,X1),not(X1)),or(implies(X0,X1),not(X1)))) ),
inference(resolution,[status(thm)],[f3970,f571]) ).
fof(f4004,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),not(X1))) ),
inference(paramodulation,[status(thm)],[f530,f3970]) ).
fof(f4006,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,and(not(X1),implies(X2,X3))),or(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f615,f3970]) ).
fof(f4010,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,not(and(X2,X0))))) ),
inference(resolution,[status(thm)],[f3972,f730]) ).
fof(f4011,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(not(and(X0,X1)))) ),
inference(resolution,[status(thm)],[f3972,f570]) ).
fof(f4012,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(and(X1,X0)))) ),
inference(resolution,[status(thm)],[f3972,f1347]) ).
fof(f4013,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(and(X0,X1)),X1),or(not(and(X0,X1)),X1))) ),
inference(resolution,[status(thm)],[f3972,f571]) ).
fof(f4014,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,and(X1,not(X2))),implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f615,f3972]) ).
fof(f4019,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(equiv(and(X0,not(X1)),X2)),not(and(X2,implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f624,f3972]) ).
fof(f4020,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(equiv(X0,not(X1))),or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f568,f3972]) ).
fof(f4021,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(equiv(X0,X1)),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f489,f3972]) ).
fof(f4022,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,X1),X2),implies(X2,not(X1)))) ),
inference(resolution,[status(thm)],[f4002,f730]) ).
fof(f4023,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(not(not(X0))) ),
inference(resolution,[status(thm)],[f4002,f570]) ).
fof(f4025,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(X0),implies(X1,X0)),or(not(X0),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f4002,f571]) ).
fof(f4026,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,and(X1,not(X2))),implies(X3,and(not(X0),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f615,f4002]) ).
fof(f4028,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(X0),or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f530,f4002]) ).
fof(f4032,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(X0),X1),implies(X1,or(X2,X0)))) ),
inference(resolution,[status(thm)],[f4004,f730]) ).
fof(f4033,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(X1))
| ~ is_a_theorem(not(or(X0,X1))) ),
inference(resolution,[status(thm)],[f4004,f570]) ).
fof(f4035,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(or(X0,X1),not(X1)),or(or(X0,X1),not(X1)))) ),
inference(resolution,[status(thm)],[f4004,f571]) ).
fof(f4037,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,and(not(X1),implies(X2,X3))),or(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f615,f4004]) ).
fof(f4039,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,and(X1,X2))),X1)) ),
inference(resolution,[status(thm)],[f4012,f964]) ).
fof(f4040,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(and(X0,X1)),X2),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f4012,f730]) ).
fof(f4041,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(X1,X0)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f4012,f570]) ).
fof(f4043,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,not(and(X1,X0))),or(X0,not(and(X1,X0))))) ),
inference(resolution,[status(thm)],[f4012,f571]) ).
fof(f4044,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),not(and(X2,and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f567,f4012]) ).
fof(f4045,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),or(X2,and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f615,f4012]) ).
fof(f4050,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,implies(X1,X2))),not(equiv(and(X1,not(X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f624,f4012]) ).
fof(f4051,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),not(equiv(X1,not(X0))))) ),
inference(paramodulation,[status(thm)],[f568,f4012]) ).
fof(f4052,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),not(equiv(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f489,f4012]) ).
fof(f4053,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,X1),X2),implies(X2,not(X1)))) ),
inference(resolution,[status(thm)],[f4028,f730]) ).
fof(f4054,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(not(not(X0))) ),
inference(resolution,[status(thm)],[f4028,f570]) ).
fof(f4056,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(X0),or(X1,X0)),or(not(X0),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f4028,f571]) ).
fof(f4057,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,and(X1,not(X2))),or(X3,and(not(X0),implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f615,f4028]) ).
fof(f4063,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(not(or(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f615,f4011]) ).
fof(f4068,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(X2,implies(X0,X1))))
| ~ is_a_theorem(not(not(equiv(and(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f624,f4011]) ).
fof(f4069,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(not(not(equiv(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f568,f4011]) ).
fof(f4070,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(not(not(equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f489,f4011]) ).
fof(f4079,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X3,and(not(X0),implies(X1,X2))))
| ~ is_a_theorem(not(or(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f615,f4023]) ).
fof(f4083,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(X0,and(not(implies(X1,X1)),X2)))) ),
inference(resolution,[status(thm)],[f4041,f1075]) ).
fof(f4084,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(and(X0,and(not(X1),or(X1,X1))))) ),
inference(resolution,[status(thm)],[f4041,f2684]) ).
fof(f4093,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(X3,and(not(X0),implies(X1,X2)))))
| ~ is_a_theorem(or(X0,and(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f615,f4041]) ).
fof(f4094,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(X2,and(X0,not(X1)))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f475,f4041]) ).
fof(f4111,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X3,and(not(X0),implies(X1,X2))))
| ~ is_a_theorem(not(or(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f615,f4054]) ).
fof(f4112,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,and(X0,not(X1))))
| ~ is_a_theorem(not(implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f475,f4054]) ).
fof(f4113,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,or(X2,not(and(X0,X3)))))) ),
inference(resolution,[status(thm)],[f3977,f730]) ).
fof(f4114,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(or(X0,not(and(X1,X2))))) ),
inference(resolution,[status(thm)],[f3977,f570]) ).
fof(f4115,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,or(X1,not(and(X0,X2))))) ),
inference(resolution,[status(thm)],[f3977,f1347]) ).
fof(f4116,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(or(X0,not(and(X1,X2))),X1),or(or(X0,not(and(X1,X2))),X1))) ),
inference(resolution,[status(thm)],[f3977,f571]) ).
fof(f4119,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,implies(X1,X2)),X1)) ),
inference(paramodulation,[status(thm)],[f475,f3977]) ).
fof(f4120,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(equiv(X1,and(X2,not(X3))))),not(and(X1,implies(X2,X3))))) ),
inference(paramodulation,[status(thm)],[f625,f3977]) ).
fof(f4122,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(equiv(not(X1),X2))),or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f569,f3977]) ).
fof(f4125,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(equiv(X1,X2))),implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f489,f3977]) ).
fof(f4126,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,or(X2,implies(X0,X3))))) ),
inference(resolution,[status(thm)],[f4119,f730]) ).
fof(f4127,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(or(X0,implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f4119,f570]) ).
fof(f4128,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,or(X1,implies(X0,X2)))) ),
inference(resolution,[status(thm)],[f4119,f1347]) ).
fof(f4129,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(or(X0,implies(X1,X2)),X1),or(or(X0,implies(X1,X2)),X1))) ),
inference(resolution,[status(thm)],[f4119,f571]) ).
fof(f4131,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,or(X1,X2)),not(X1))) ),
inference(paramodulation,[status(thm)],[f530,f4119]) ).
fof(f4133,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,implies(and(X1,X2),X3)),X1)) ),
inference(resolution,[status(thm)],[f4128,f964]) ).
fof(f4134,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,implies(X1,X2)),X3),implies(X3,X1))) ),
inference(resolution,[status(thm)],[f4128,f730]) ).
fof(f4135,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,implies(X0,X2)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f4128,f570]) ).
fof(f4137,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,or(X1,implies(X0,X2))),or(X0,or(X1,implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f4128,f571]) ).
fof(f4138,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),or(X2,implies(and(X0,not(X1)),X3)))) ),
inference(paramodulation,[status(thm)],[f567,f4128]) ).
fof(f4140,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(X0),or(X1,or(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f530,f4128]) ).
fof(f4144,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(X0,and(and(and(X1,not(X2)),X3),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f617,f4041]) ).
fof(f4145,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(and(and(and(and(X0,not(X1)),X2),implies(X0,X1)),X3),X4)) ),
inference(resolution,[status(thm)],[f617,f1500]) ).
fof(f4147,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(or(and(and(and(X0,not(X1)),X2),implies(X0,X1)),and(and(and(X0,not(X1)),X2),implies(X0,X1))))) ),
inference(resolution,[status(thm)],[f617,f1504]) ).
fof(f4164,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,implies(X2,not(and(X0,X3)))))) ),
inference(resolution,[status(thm)],[f3985,f730]) ).
fof(f4165,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(X0,not(and(X1,X2))))) ),
inference(resolution,[status(thm)],[f3985,f570]) ).
fof(f4166,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,not(and(X0,X2))))) ),
inference(resolution,[status(thm)],[f3985,f1347]) ).
fof(f4167,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,not(and(X1,X2))),X1),or(implies(X0,not(and(X1,X2))),X1))) ),
inference(resolution,[status(thm)],[f3985,f571]) ).
fof(f4170,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,implies(X1,X2)),X1)) ),
inference(paramodulation,[status(thm)],[f475,f3985]) ).
fof(f4171,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(equiv(X1,and(X2,not(X3))))),not(and(X1,implies(X2,X3))))) ),
inference(paramodulation,[status(thm)],[f625,f3985]) ).
fof(f4173,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(equiv(not(X1),X2))),or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f569,f3985]) ).
fof(f4176,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(equiv(X1,X2))),implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f489,f3985]) ).
fof(f4177,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,implies(X2,implies(X0,X3))))) ),
inference(resolution,[status(thm)],[f4170,f730]) ).
fof(f4178,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(X0,implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f4170,f570]) ).
fof(f4179,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,implies(X0,X2)))) ),
inference(resolution,[status(thm)],[f4170,f1347]) ).
fof(f4180,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,implies(X1,X2)),X1),or(implies(X0,implies(X1,X2)),X1))) ),
inference(resolution,[status(thm)],[f4170,f571]) ).
fof(f4182,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,or(X1,X2)),not(X1))) ),
inference(paramodulation,[status(thm)],[f530,f4170]) ).
fof(f4184,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,implies(and(X1,X2),X3)),X1)) ),
inference(resolution,[status(thm)],[f4179,f964]) ).
fof(f4185,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,implies(X1,X2)),X3),implies(X3,X1))) ),
inference(resolution,[status(thm)],[f4179,f730]) ).
fof(f4186,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f4179,f570]) ).
fof(f4188,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,implies(X1,implies(X0,X2))),or(X0,implies(X1,implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f4179,f571]) ).
fof(f4189,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(and(X0,not(X1)),X3)))) ),
inference(paramodulation,[status(thm)],[f567,f4179]) ).
fof(f4191,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(X0),implies(X1,or(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f530,f4179]) ).
fof(f4193,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,X1),X2),implies(X2,not(equiv(X1,X0))))) ),
inference(resolution,[status(thm)],[f4021,f730]) ).
fof(f4196,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(equiv(X0,X1)),implies(X1,X0)),or(not(equiv(X0,X1)),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f4021,f571]) ).
fof(f4199,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),implies(X1,not(and(X2,and(X0,X3)))))) ),
inference(resolution,[status(thm)],[f4039,f730]) ).
fof(f4200,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(not(and(X0,and(X1,X2))))) ),
inference(resolution,[status(thm)],[f4039,f570]) ).
fof(f4201,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(and(X1,and(X0,X2))))) ),
inference(resolution,[status(thm)],[f4039,f1347]) ).
fof(f4202,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(and(X0,and(X1,X2))),X1),or(not(and(X0,and(X1,X2))),X1))) ),
inference(resolution,[status(thm)],[f4039,f571]) ).
fof(f4203,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,equiv(X1,and(X2,not(X3))))),not(and(X1,implies(X2,X3))))) ),
inference(paramodulation,[status(thm)],[f625,f4039]) ).
fof(f4205,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,equiv(not(X1),X2))),or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f569,f4039]) ).
fof(f4208,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,equiv(X1,X2))),implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f489,f4039]) ).
fof(f4210,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| is_a_theorem(and(and(implies(or(X0,X1),or(and(X1,X2),implies(X2,X0))),implies(or(X0,X1),or(and(X1,X2),implies(X2,X0)))),and(implies(or(X0,X1),or(and(X1,X2),implies(X2,X0))),implies(or(X0,X1),or(and(X1,X2),implies(X2,X0)))))) ),
inference(resolution,[status(thm)],[f731,f571]) ).
fof(f4213,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,not(and(X1,implies(X2,X3)))),or(equiv(X1,and(X2,not(X3))),implies(implies(and(X2,not(X3)),X1),X0))),implies(or(X0,not(and(X1,implies(X2,X3)))),or(and(not(and(X1,implies(X2,X3))),implies(and(X2,not(X3)),X1)),implies(implies(and(X2,not(X3)),X1),X0))))) ),
inference(paramodulation,[status(thm)],[f625,f731]) ).
fof(f4214,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,or(X1,not(X2))),or(equiv(not(X1),not(X2)),implies(or(X2,not(X1)),X0))),implies(or(X0,or(X1,not(X2))),or(and(or(X1,not(X2)),or(X2,not(X1))),implies(or(X2,not(X1)),X0))))) ),
inference(paramodulation,[status(thm)],[f629,f731]) ).
fof(f4215,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,or(X1,X2)),or(equiv(not(X1),X2),implies(implies(X2,not(X1)),X0))),implies(or(X0,or(X1,X2)),or(and(or(X1,X2),implies(X2,not(X1))),implies(implies(X2,not(X1)),X0))))) ),
inference(paramodulation,[status(thm)],[f569,f731]) ).
fof(f4216,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,implies(and(X1,not(X2)),X3)),or(equiv(and(X1,not(X2)),X3),implies(not(and(X3,implies(X1,X2))),X0))),implies(or(X0,implies(and(X1,not(X2)),X3)),or(and(implies(and(X1,not(X2)),X3),not(and(X3,implies(X1,X2)))),implies(not(and(X3,implies(X1,X2))),X0))))) ),
inference(paramodulation,[status(thm)],[f624,f731]) ).
fof(f4217,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,implies(X1,not(X2))),or(equiv(X1,not(X2)),implies(or(X2,X1),X0))),implies(or(X0,implies(X1,not(X2))),or(and(implies(X1,not(X2)),or(X2,X1)),implies(or(X2,X1),X0))))) ),
inference(paramodulation,[status(thm)],[f568,f731]) ).
fof(f4218,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,implies(X1,X2)),or(equiv(X1,X2),implies(implies(X2,X1),X0))),implies(or(X0,implies(X1,X2)),or(and(implies(X1,X2),implies(X2,X1)),implies(implies(X2,X1),X0))))) ),
inference(paramodulation,[status(thm)],[f489,f731]) ).
fof(f4237,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,not(and(X1,implies(X2,X3)))),or(equiv(X1,and(X2,not(X3))),implies(implies(and(X2,not(X3)),X1),X0))),implies(or(X0,not(and(X1,implies(X2,X3)))),or(equiv(X1,and(X2,not(X3))),implies(implies(and(X2,not(X3)),X1),X0))))) ),
inference(forward_demodulation,[status(thm)],[f625,f4213]) ).
fof(f4238,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,or(X1,not(X2))),or(equiv(not(X1),not(X2)),implies(or(X2,not(X1)),X0))),implies(or(X0,or(X1,not(X2))),or(equiv(not(X1),not(X2)),implies(or(X2,not(X1)),X0))))) ),
inference(forward_demodulation,[status(thm)],[f629,f4214]) ).
fof(f4239,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,or(X1,X2)),or(equiv(not(X1),X2),implies(implies(X2,not(X1)),X0))),implies(or(X0,or(X1,X2)),or(equiv(not(X1),X2),implies(implies(X2,not(X1)),X0))))) ),
inference(forward_demodulation,[status(thm)],[f569,f4215]) ).
fof(f4240,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,implies(and(X1,not(X2)),X3)),or(equiv(and(X1,not(X2)),X3),or(and(X3,implies(X1,X2)),X0))),implies(or(X0,implies(and(X1,not(X2)),X3)),or(and(implies(and(X1,not(X2)),X3),not(and(X3,implies(X1,X2)))),implies(not(and(X3,implies(X1,X2))),X0))))) ),
inference(forward_demodulation,[status(thm)],[f530,f4216]) ).
fof(f4241,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,implies(and(X1,not(X2)),X3)),or(equiv(and(X1,not(X2)),X3),or(and(X3,implies(X1,X2)),X0))),implies(or(X0,implies(and(X1,not(X2)),X3)),implies(implies(implies(and(X1,not(X2)),X3),and(X3,implies(X1,X2))),implies(not(and(X3,implies(X1,X2))),X0))))) ),
inference(forward_demodulation,[status(thm)],[f567,f4240]) ).
fof(f4242,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,implies(and(X1,not(X2)),X3)),or(equiv(and(X1,not(X2)),X3),or(and(X3,implies(X1,X2)),X0))),implies(or(X0,implies(and(X1,not(X2)),X3)),implies(not(equiv(and(X1,not(X2)),X3)),implies(not(and(X3,implies(X1,X2))),X0))))) ),
inference(forward_demodulation,[status(thm)],[f2775,f4241]) ).
fof(f4243,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,implies(and(X1,not(X2)),X3)),or(equiv(and(X1,not(X2)),X3),or(and(X3,implies(X1,X2)),X0))),implies(or(X0,implies(and(X1,not(X2)),X3)),or(equiv(and(X1,not(X2)),X3),implies(not(and(X3,implies(X1,X2))),X0))))) ),
inference(forward_demodulation,[status(thm)],[f530,f4242]) ).
fof(f4244,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,implies(and(X1,not(X2)),X3)),or(equiv(and(X1,not(X2)),X3),or(and(X3,implies(X1,X2)),X0))),implies(or(X0,implies(and(X1,not(X2)),X3)),or(equiv(and(X1,not(X2)),X3),or(and(X3,implies(X1,X2)),X0))))) ),
inference(forward_demodulation,[status(thm)],[f530,f4243]) ).
fof(f4245,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,implies(X1,not(X2))),or(equiv(X1,not(X2)),implies(or(X2,X1),X0))),implies(or(X0,implies(X1,not(X2))),or(equiv(X1,not(X2)),implies(or(X2,X1),X0))))) ),
inference(forward_demodulation,[status(thm)],[f568,f4217]) ).
fof(f4246,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(or(X0,implies(X1,X2)),or(equiv(X1,X2),implies(implies(X2,X1),X0))),implies(or(X0,implies(X1,X2)),or(equiv(X1,X2),implies(implies(X2,X1),X0))))) ),
inference(forward_demodulation,[status(thm)],[f489,f4218]) ).
fof(f4275,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(equiv(X0,X1)),X2),implies(X2,implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f4052,f730]) ).
fof(f4276,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(equiv(X1,X0)))
| ~ is_a_theorem(not(implies(X0,X1))) ),
inference(resolution,[status(thm)],[f4052,f570]) ).
fof(f4278,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,X1),not(equiv(X1,X0))),or(implies(X0,X1),not(equiv(X1,X0))))) ),
inference(resolution,[status(thm)],[f4052,f571]) ).
fof(f4281,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(and(and(X1,X2),X3))),X1)) ),
inference(resolution,[status(thm)],[f4115,f964]) ).
fof(f4282,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,not(and(X1,X2))),X3),implies(X3,X1))) ),
inference(resolution,[status(thm)],[f4115,f730]) ).
fof(f4283,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,not(and(X0,X2))))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f4115,f570]) ).
fof(f4285,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,or(X1,not(and(X0,X2)))),or(X0,or(X1,not(and(X0,X2)))))) ),
inference(resolution,[status(thm)],[f4115,f571]) ).
fof(f4286,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),or(X2,not(and(and(X0,not(X1)),X3))))) ),
inference(paramodulation,[status(thm)],[f567,f4115]) ).
fof(f4290,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,implies(X1,X2))),or(X3,not(equiv(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f625,f4115]) ).
fof(f4292,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),or(X2,not(equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f569,f4115]) ).
fof(f4295,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),or(X2,not(equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f489,f4115]) ).
fof(f4297,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(X1))
| ~ is_a_theorem(not(or(X0,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f530,f4127]) ).
fof(f4299,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(X0),X1),implies(X1,or(X2,or(X0,X3))))) ),
inference(resolution,[status(thm)],[f4131,f730]) ).
fof(f4302,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(or(X0,or(X1,X2)),not(X1)),or(or(X0,or(X1,X2)),not(X1)))) ),
inference(resolution,[status(thm)],[f4131,f571]) ).
fof(f4305,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,or(and(not(X1),implies(X2,X3)),X4)),or(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f615,f4131]) ).
fof(f4309,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(and(and(and(X1,not(X2)),X3),implies(X1,X2)),X4))) ),
inference(resolution,[status(thm)],[f4135,f617]) ).
fof(f4312,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,implies(not(not(not(implies(X1,X1)))),X2))) ),
inference(resolution,[status(thm)],[f4135,f2278]) ).
fof(f4313,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,implies(not(or(X1,implies(X2,X2))),X3))) ),
inference(resolution,[status(thm)],[f4135,f3577]) ).
fof(f4314,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,implies(not(or(X1,not(X1))),X2))) ),
inference(resolution,[status(thm)],[f4135,f1078]) ).
fof(f4315,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,implies(not(implies(and(X1,X2),X1)),X3))) ),
inference(resolution,[status(thm)],[f4135,f3089]) ).
fof(f4316,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,implies(not(implies(or(X1,X1),X1)),X2))) ),
inference(resolution,[status(thm)],[f4135,f3074]) ).
fof(f4317,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,implies(not(implies(X1,implies(X2,X2))),X3))) ),
inference(resolution,[status(thm)],[f4135,f3501]) ).
fof(f4318,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,implies(not(implies(X1,and(X1,X1))),X2))) ),
inference(resolution,[status(thm)],[f4135,f3103]) ).
fof(f4319,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(not(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4135,f1639]) ).
fof(f4320,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X3,implies(and(not(X0),implies(X1,X2)),X4)))
| ~ is_a_theorem(or(X0,and(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f615,f4135]) ).
fof(f4321,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X2,implies(and(X0,not(X1)),X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f475,f4135]) ).
fof(f4322,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(not(not(implies(X1,X1))),X2))) ),
inference(forward_demodulation,[status(thm)],[f530,f4312]) ).
fof(f4323,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(or(X1,implies(X2,X2)),X3))) ),
inference(forward_demodulation,[status(thm)],[f530,f4313]) ).
fof(f4324,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(or(X1,not(X1)),X2))) ),
inference(forward_demodulation,[status(thm)],[f530,f4314]) ).
fof(f4325,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(implies(and(X1,X2),X1),X3))) ),
inference(forward_demodulation,[status(thm)],[f530,f4315]) ).
fof(f4326,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(implies(or(X1,X1),X1),X2))) ),
inference(forward_demodulation,[status(thm)],[f530,f4316]) ).
fof(f4327,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(implies(X1,implies(X2,X2)),X3))) ),
inference(forward_demodulation,[status(thm)],[f530,f4317]) ).
fof(f4328,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(implies(X1,and(X1,X1)),X2))) ),
inference(forward_demodulation,[status(thm)],[f530,f4318]) ).
fof(f4329,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,or(implies(X1,X1),X2))) ),
inference(forward_demodulation,[status(thm)],[f530,f4319]) ).
fof(f4333,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2)))),implies(and(not(and(X0,implies(X1,X2))),implies(and(X1,not(X2)),X0)),not(and(X0,implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f625,f577]) ).
fof(f4334,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(not(X0),not(X1)),or(X0,not(X1))),implies(and(or(X0,not(X1)),or(X1,not(X0))),or(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f629,f577]) ).
fof(f4335,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(not(X0),X1),or(X0,X1)),implies(and(or(X0,X1),implies(X1,not(X0))),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f569,f577]) ).
fof(f4336,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(and(X0,not(X1)),X2),implies(and(X0,not(X1)),X2)),implies(and(implies(and(X0,not(X1)),X2),not(and(X2,implies(X0,X1)))),implies(and(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f624,f577]) ).
fof(f4337,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,not(X1)),implies(X0,not(X1))),implies(and(implies(X0,not(X1)),or(X1,X0)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f568,f577]) ).
fof(f4338,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(and(implies(X0,X1),implies(X1,X0)),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f489,f577]) ).
fof(f4340,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(not(and(X0,implies(X1,X2))),implies(and(X1,not(X2)),X0)),not(and(X0,implies(X1,X2)))),implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f625,f577]) ).
fof(f4341,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(or(X0,not(X1)),or(X1,not(X0))),or(X0,not(X1))),implies(equiv(not(X0),not(X1)),or(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f629,f577]) ).
fof(f4342,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(or(X0,X1),implies(X1,not(X0))),or(X0,X1)),implies(equiv(not(X0),X1),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f569,f577]) ).
fof(f4343,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(implies(and(X0,not(X1)),X2),not(and(X2,implies(X0,X1)))),implies(and(X0,not(X1)),X2)),implies(equiv(and(X0,not(X1)),X2),implies(and(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f624,f577]) ).
fof(f4344,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(implies(X0,not(X1)),or(X1,X0)),implies(X0,not(X1))),implies(equiv(X0,not(X1)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f568,f577]) ).
fof(f4345,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(implies(X0,X1),implies(X1,X0)),implies(X0,X1)),implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f489,f577]) ).
fof(f4347,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2)))),implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f625,f4333]) ).
fof(f4348,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(not(X0),not(X1)),or(X0,not(X1))),implies(equiv(not(X0),not(X1)),or(X0,not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f629,f4334]) ).
fof(f4349,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_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(forward_demodulation,[status(thm)],[f569,f4335]) ).
fof(f4350,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(and(X0,not(X1)),X2),implies(and(X0,not(X1)),X2)),implies(equiv(and(X0,not(X1)),X2),implies(and(X0,not(X1)),X2)))) ),
inference(forward_demodulation,[status(thm)],[f624,f4336]) ).
fof(f4351,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,not(X1)),implies(X0,not(X1))),implies(equiv(X0,not(X1)),implies(X0,not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f568,f4337]) ).
fof(f4352,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f489,f4338]) ).
fof(f4354,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2)))),implies(equiv(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f625,f4340]) ).
fof(f4355,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(not(X0),not(X1)),or(X0,not(X1))),implies(equiv(not(X0),not(X1)),or(X0,not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f629,f4341]) ).
fof(f4356,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_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(forward_demodulation,[status(thm)],[f569,f4342]) ).
fof(f4357,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(and(X0,not(X1)),X2),implies(and(X0,not(X1)),X2)),implies(equiv(and(X0,not(X1)),X2),implies(and(X0,not(X1)),X2)))) ),
inference(forward_demodulation,[status(thm)],[f624,f4343]) ).
fof(f4358,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,not(X1)),implies(X0,not(X1))),implies(equiv(X0,not(X1)),implies(X0,not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f568,f4344]) ).
fof(f4359,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f489,f4345]) ).
fof(f4360,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(or(implies(X0,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f4329,f964]) ).
fof(f4361,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ95_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(implies(X0,X0),X1),X2),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f4329,f730]) ).
fof(f4362,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ95_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X1,X1),X2))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f4329,f570]) ).
fof(f4363,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ95_spl
| is_a_theorem(not(not(or(implies(X0,X0),X1)))) ),
inference(resolution,[status(thm)],[f4329,f915]) ).
fof(f4366,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ95_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,or(implies(X1,X1),X2)),or(X0,or(implies(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f4329,f571]) ).
fof(f4369,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ95_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,or(not(and(and(X1,not(X2)),implies(X1,X2))),X3))) ),
inference(paramodulation,[status(thm)],[f566,f4329]) ).
fof(f4370,definition,
! [X1,X2] :
( sQ113_spl
<=> is_a_theorem(or(implies(X1,X1),X2)) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f4371,plain,
! [X0,X1] :
( ~ sQ113_spl
| is_a_theorem(or(implies(X0,X0),X1)) ),
inference(component_clause,[status(thm)],[f4370]) ).
fof(f4373,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ95_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| sQ113_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f4362,f1509,f4370,f348,f249,f367,f1638,f171,f474,f460]) ).
fof(f4375,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(implies(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f4360,f570]) ).
fof(f4379,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ95_spl
| is_a_theorem(and(or(or(implies(X0,X0),X1),X2),or(or(implies(X0,X0),X1),X2))) ),
inference(resolution,[status(thm)],[f4360,f571]) ).
fof(f4380,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(or(or(X0,not(X0)),X1),X2)) ),
inference(paramodulation,[status(thm)],[f530,f4360]) ).
fof(f4381,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(or(not(and(and(X0,not(X1)),implies(X0,X1))),X2),X3)) ),
inference(paramodulation,[status(thm)],[f566,f4360]) ).
fof(f4382,definition,
! [X0,X1] :
( sQ114_spl
<=> ~ is_a_theorem(not(or(implies(X0,X0),X1))) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f4383,plain,
! [X0,X1] :
( ~ sQ114_spl
| ~ is_a_theorem(not(or(implies(X0,X0),X1))) ),
inference(component_clause,[status(thm)],[f4382]) ).
fof(f4385,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| sQ89_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f4375,f4382,f1124,f1638,f348,f249,f367,f171,f474,f460]) ).
fof(f4386,plain,
( sQ38_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1277]) ).
fof(f4387,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ114_spl
| ~ is_a_theorem(not(or(or(X0,not(X0)),X1))) ),
inference(paramodulation,[status(thm)],[f530,f4383]) ).
fof(f4388,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ114_spl
| ~ is_a_theorem(not(or(not(and(and(X0,not(X1)),implies(X0,X1))),X2))) ),
inference(paramodulation,[status(thm)],[f566,f4383]) ).
fof(f4392,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ100_spl
| ~ is_a_theorem(and(implies(X0,X1),or(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f475,f2914]) ).
fof(f4398,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ101_spl
| ~ is_a_theorem(not(not(and(or(and(X0,not(X1)),and(X0,not(X1))),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f566,f3124]) ).
fof(f4414,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(not(and(not(X0),implies(not(X0),X0))))) ),
inference(paramodulation,[status(thm)],[f566,f3218]) ).
fof(f4430,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(implies(X0,or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f4363,f4023]) ).
fof(f4434,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(X0,implies(not(or(implies(X1,X1),X2)),X3))) ),
inference(resolution,[status(thm)],[f4363,f4135]) ).
fof(f4436,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(implies(and(not(or(implies(X0,X0),X1)),X2),X3)) ),
inference(resolution,[status(thm)],[f4363,f1500]) ).
fof(f4437,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(not(and(not(or(implies(X0,X0),X1)),X2))) ),
inference(resolution,[status(thm)],[f4363,f862]) ).
fof(f4438,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(not(or(not(or(implies(X0,X0),X1)),not(or(implies(X0,X0),X1))))) ),
inference(resolution,[status(thm)],[f4363,f1504]) ).
fof(f4439,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(implies(X0,not(not(or(implies(X1,X1),X2))))) ),
inference(resolution,[status(thm)],[f4363,f1501]) ).
fof(f4440,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(X0,not(not(or(implies(X1,X1),X2))))) ),
inference(resolution,[status(thm)],[f4363,f1499]) ).
fof(f4442,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ95_spl
| is_a_theorem(and(not(not(or(implies(X0,X0),X1))),not(not(or(implies(X0,X0),X1))))) ),
inference(resolution,[status(thm)],[f4363,f571]) ).
fof(f4443,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ95_spl
| is_a_theorem(not(not(or(or(X0,not(X0)),X1)))) ),
inference(paramodulation,[status(thm)],[f530,f4363]) ).
fof(f4444,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ95_spl
| is_a_theorem(not(not(or(not(and(and(X0,not(X1)),implies(X0,X1))),X2)))) ),
inference(paramodulation,[status(thm)],[f566,f4363]) ).
fof(f4445,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(X0,or(or(implies(X1,X1),X2),X3))) ),
inference(forward_demodulation,[status(thm)],[f530,f4434]) ).
fof(f4448,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(and(or(implies(X0,X0),X1),implies(X2,X3)),not(equiv(X2,X3)))) ),
inference(resolution,[status(thm)],[f4430,f930]) ).
fof(f4450,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(implies(X0,implies(X1,or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4430,f1597]) ).
fof(f4451,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(X0,implies(X1,or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4430,f1612]) ).
fof(f4452,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(and(or(implies(X0,X0),X1),X2),not(and(X2,X3)))) ),
inference(resolution,[status(thm)],[f4430,f715]) ).
fof(f4454,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(implies(X1,X1),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4430,f172]) ).
fof(f4455,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ95_spl
| is_a_theorem(and(implies(X0,or(implies(X1,X1),X2)),implies(X0,or(implies(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f4430,f571]) ).
fof(f4457,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(implies(X0,or(or(X1,not(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f530,f4430]) ).
fof(f4458,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(implies(X0,or(not(and(and(X1,not(X2)),implies(X1,X2))),X3))) ),
inference(paramodulation,[status(thm)],[f566,f4430]) ).
fof(f4459,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| sQ113_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f4454,f1635,f4370,f1638,f348,f249,f367,f474,f460,f171]) ).
fof(f4478,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ114_spl
| ~ is_a_theorem(not(or(or(and(not(X0),implies(X1,X2)),or(X0,and(X1,not(X2)))),X3))) ),
inference(paramodulation,[status(thm)],[f615,f4387]) ).
fof(f4482,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,or(X1,X2)),X3),implies(X3,not(X1)))) ),
inference(resolution,[status(thm)],[f4140,f730]) ).
fof(f4483,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X1,or(X0,X2)))
| ~ is_a_theorem(not(not(X0))) ),
inference(resolution,[status(thm)],[f4140,f570]) ).
fof(f4485,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(X0),or(X1,or(X0,X2))),or(not(X0),or(X1,or(X0,X2))))) ),
inference(resolution,[status(thm)],[f4140,f571]) ).
fof(f4486,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,and(X1,not(X2))),or(X3,or(and(not(X0),implies(X1,X2)),X4)))) ),
inference(paramodulation,[status(thm)],[f615,f4140]) ).
fof(f4492,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(and(and(X1,X2),X3))),X1)) ),
inference(resolution,[status(thm)],[f4166,f964]) ).
fof(f4493,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,not(and(X1,X2))),X3),implies(X3,X1))) ),
inference(resolution,[status(thm)],[f4166,f730]) ).
fof(f4494,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,not(and(X0,X2))))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f4166,f570]) ).
fof(f4496,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,implies(X1,not(and(X0,X2)))),or(X0,implies(X1,not(and(X0,X2)))))) ),
inference(resolution,[status(thm)],[f4166,f571]) ).
fof(f4497,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),implies(X2,not(and(and(X0,not(X1)),X3))))) ),
inference(paramodulation,[status(thm)],[f567,f4166]) ).
fof(f4501,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,implies(X1,X2))),implies(X3,not(equiv(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f625,f4166]) ).
fof(f4503,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),implies(X2,not(equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f569,f4166]) ).
fof(f4506,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),implies(X2,not(equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f489,f4166]) ).
fof(f4508,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(X1))
| ~ is_a_theorem(not(implies(X0,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f530,f4178]) ).
fof(f4510,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(X0),X1),implies(X1,implies(X2,or(X0,X3))))) ),
inference(resolution,[status(thm)],[f4182,f730]) ).
fof(f4513,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(implies(X0,or(X1,X2)),not(X1)),or(implies(X0,or(X1,X2)),not(X1)))) ),
inference(resolution,[status(thm)],[f4182,f571]) ).
fof(f4516,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,or(and(not(X1),implies(X2,X3)),X4)),or(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f615,f4182]) ).
fof(f4520,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(and(and(and(X1,not(X2)),X3),implies(X1,X2)),X4))) ),
inference(resolution,[status(thm)],[f4186,f617]) ).
fof(f4523,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(not(not(not(implies(X1,X1)))),X2))) ),
inference(resolution,[status(thm)],[f4186,f2278]) ).
fof(f4524,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ95_spl
| is_a_theorem(implies(X0,implies(not(or(implies(X1,X1),X2)),X3))) ),
inference(resolution,[status(thm)],[f4186,f4363]) ).
fof(f4525,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(not(or(X1,implies(X2,X2))),X3))) ),
inference(resolution,[status(thm)],[f4186,f3577]) ).
fof(f4526,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(not(or(X1,not(X1))),X2))) ),
inference(resolution,[status(thm)],[f4186,f1078]) ).
fof(f4527,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(not(implies(and(X1,X2),X1)),X3))) ),
inference(resolution,[status(thm)],[f4186,f3089]) ).
fof(f4528,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(not(implies(or(X1,X1),X1)),X2))) ),
inference(resolution,[status(thm)],[f4186,f3074]) ).
fof(f4529,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(not(implies(X1,implies(X2,X2))),X3))) ),
inference(resolution,[status(thm)],[f4186,f3501]) ).
fof(f4530,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(not(implies(X1,and(X1,X1))),X2))) ),
inference(resolution,[status(thm)],[f4186,f3103]) ).
fof(f4532,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X3,implies(and(not(X0),implies(X1,X2)),X4)))
| ~ is_a_theorem(or(X0,and(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f615,f4186]) ).
fof(f4533,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X2,implies(and(X0,not(X1)),X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f475,f4186]) ).
fof(f4534,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,or(not(not(implies(X1,X1))),X2))) ),
inference(forward_demodulation,[status(thm)],[f530,f4523]) ).
fof(f4535,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ95_spl
| is_a_theorem(implies(X0,or(or(implies(X1,X1),X2),X3))) ),
inference(forward_demodulation,[status(thm)],[f530,f4524]) ).
fof(f4536,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,or(or(X1,implies(X2,X2)),X3))) ),
inference(forward_demodulation,[status(thm)],[f530,f4525]) ).
fof(f4537,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,or(or(X1,not(X1)),X2))) ),
inference(forward_demodulation,[status(thm)],[f530,f4526]) ).
fof(f4538,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,or(implies(and(X1,X2),X1),X3))) ),
inference(forward_demodulation,[status(thm)],[f530,f4527]) ).
fof(f4539,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,or(implies(or(X1,X1),X1),X2))) ),
inference(forward_demodulation,[status(thm)],[f530,f4528]) ).
fof(f4540,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,or(implies(X1,implies(X2,X2)),X3))) ),
inference(forward_demodulation,[status(thm)],[f530,f4529]) ).
fof(f4541,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,or(implies(X1,and(X1,X1)),X2))) ),
inference(forward_demodulation,[status(thm)],[f530,f4530]) ).
fof(f4543,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,or(X1,X2)),X3),implies(X3,not(X1)))) ),
inference(resolution,[status(thm)],[f4191,f730]) ).
fof(f4544,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X1,or(X0,X2)))
| ~ is_a_theorem(not(not(X0))) ),
inference(resolution,[status(thm)],[f4191,f570]) ).
fof(f4546,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(not(X0),implies(X1,or(X0,X2))),or(not(X0),implies(X1,or(X0,X2))))) ),
inference(resolution,[status(thm)],[f4191,f571]) ).
fof(f4547,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,and(X1,not(X2))),implies(X3,or(and(not(X0),implies(X1,X2)),X4)))) ),
inference(paramodulation,[status(thm)],[f615,f4191]) ).
fof(f4553,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,and(and(X1,X2),X3))),X1)) ),
inference(resolution,[status(thm)],[f4201,f964]) ).
fof(f4554,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(and(X0,and(X1,X2))),X3),implies(X3,X1))) ),
inference(resolution,[status(thm)],[f4201,f730]) ).
fof(f4555,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(X1,and(X0,X2))))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f4201,f570]) ).
fof(f4557,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,not(and(X1,and(X0,X2)))),or(X0,not(and(X1,and(X0,X2)))))) ),
inference(resolution,[status(thm)],[f4201,f571]) ).
fof(f4558,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X1),not(and(X2,and(and(X0,not(X1)),X3))))) ),
inference(paramodulation,[status(thm)],[f567,f4201]) ).
fof(f4559,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,implies(X1,X2))),not(and(X3,equiv(X0,and(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f625,f4201]) ).
fof(f4561,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),not(and(X2,equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f569,f4201]) ).
fof(f4564,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),not(and(X2,equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f489,f4201]) ).
fof(f4565,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(or(X0,not(X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f4324,f964]) ).
fof(f4566,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(and(or(or(X0,not(X0)),X1),X2),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f4324,f730]) ).
fof(f4567,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(or(X1,not(X1)),X2))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f4324,f570]) ).
fof(f4568,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(or(or(X0,not(X0)),X1)))) ),
inference(resolution,[status(thm)],[f4324,f915]) ).
fof(f4569,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(or(X0,not(X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f4324,f1347]) ).
fof(f4571,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(X0,or(or(X1,not(X1)),X2)),or(X0,or(or(X1,not(X1)),X2)))) ),
inference(resolution,[status(thm)],[f4324,f571]) ).
fof(f4572,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(implies(implies(X0,X1),or(or(X2,not(X2)),X3))) ),
inference(paramodulation,[status(thm)],[f567,f4324]) ).
fof(f4573,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(implies(implies(X1,X2),not(and(X1,not(X2)))),X3))) ),
inference(paramodulation,[status(thm)],[f567,f4324]) ).
fof(f4574,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(or(and(not(X1),implies(X2,X3)),or(X1,and(X2,not(X3)))),X4))) ),
inference(paramodulation,[status(thm)],[f615,f4324]) ).
fof(f4575,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(or(and(X1,not(X2)),implies(X1,X2)),X3))) ),
inference(paramodulation,[status(thm)],[f475,f4324]) ).
fof(f4576,definition,
! [X1,X2] :
( sQ115_spl
<=> is_a_theorem(or(or(X1,not(X1)),X2)) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f4577,plain,
! [X0,X1] :
( ~ sQ115_spl
| is_a_theorem(or(or(X0,not(X0)),X1)) ),
inference(component_clause,[status(thm)],[f4576]) ).
fof(f4579,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| sQ115_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f4567,f1509,f4576,f249,f367,f348,f171,f474,f460]) ).
fof(f4580,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(implies(implies(X1,X2),implies(X1,X2)),X3))) ),
inference(forward_demodulation,[status(thm)],[f475,f4573]) ).
fof(f4581,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,or(implies(implies(X1,X2),implies(X1,X2)),X3))) ),
inference(forward_demodulation,[status(thm)],[f567,f4575]) ).
fof(f4583,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(or(X0,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f4380,f570]) ).
fof(f4587,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ95_spl
| is_a_theorem(and(or(or(or(X0,not(X0)),X1),X2),or(or(or(X0,not(X0)),X1),X2))) ),
inference(resolution,[status(thm)],[f4380,f571]) ).
fof(f4589,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(or(or(and(not(X0),implies(X1,X2)),or(X0,and(X1,not(X2)))),X3),X4)) ),
inference(paramodulation,[status(thm)],[f615,f4380]) ).
fof(f4591,definition,
! [X0,X1] :
( sQ116_spl
<=> ~ is_a_theorem(not(or(or(X0,not(X0)),X1))) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f4592,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ is_a_theorem(not(or(or(X0,not(X0)),X1))) ),
inference(component_clause,[status(thm)],[f4591]) ).
fof(f4594,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| sQ89_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f4583,f4591,f1124,f1638,f348,f249,f367,f171,f474,f460]) ).
fof(f4597,plain,
( sQ47_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1278]) ).
fof(f4603,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ100_spl
| ~ is_a_theorem(and(implies(X0,X1),or(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f475,f2914]) ).
fof(f4609,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ101_spl
| ~ is_a_theorem(not(not(and(or(and(X0,not(X1)),and(X0,not(X1))),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f566,f3124]) ).
fof(f4625,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(not(and(not(X0),implies(not(X0),X0))))) ),
inference(paramodulation,[status(thm)],[f566,f3218]) ).
fof(f4661,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(and(or(or(X0,not(X0)),X1),implies(X2,X3)),not(equiv(X2,X3)))) ),
inference(resolution,[status(thm)],[f4457,f930]) ).
fof(f4663,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(implies(X0,implies(X1,or(or(X2,not(X2)),X3)))) ),
inference(resolution,[status(thm)],[f4457,f1597]) ).
fof(f4664,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(X0,implies(X1,or(or(X2,not(X2)),X3)))) ),
inference(resolution,[status(thm)],[f4457,f1612]) ).
fof(f4665,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(and(or(or(X0,not(X0)),X1),X2),not(and(X2,X3)))) ),
inference(resolution,[status(thm)],[f4457,f715]) ).
fof(f4667,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(or(X1,not(X1)),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4457,f172]) ).
fof(f4668,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ95_spl
| is_a_theorem(and(implies(X0,or(or(X1,not(X1)),X2)),implies(X0,or(or(X1,not(X1)),X2)))) ),
inference(resolution,[status(thm)],[f4457,f571]) ).
fof(f4671,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(implies(X0,or(or(and(not(X1),implies(X2,X3)),or(X1,and(X2,not(X3)))),X4))) ),
inference(paramodulation,[status(thm)],[f615,f4457]) ).
fof(f4673,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| sQ115_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f4667,f1635,f4576,f1638,f348,f249,f367,f474,f460,f171]) ).
fof(f4684,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(implies(not(and(and(X0,not(X1)),implies(X0,X1))),equiv(and(X0,not(X1)),and(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f566,f3260]) ).
fof(f4686,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(equiv(X0,X1)),and(equiv(X1,X0),equiv(X1,X0)))) ),
inference(resolution,[status(thm)],[f1013,f2611]) ).
fof(f4689,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(X0,and(or(or(X1,not(X1)),X2),or(or(X1,not(X1)),X2)))) ),
inference(resolution,[status(thm)],[f1013,f4380]) ).
fof(f4690,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(or(X0,and(or(implies(X1,X1),X2),or(implies(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f1013,f4360]) ).
fof(f4691,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(or(X1,or(X2,not(X2))),or(X1,or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f1013,f3592]) ).
fof(f4692,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(X0),and(or(X1,or(X0,X2)),or(X1,or(X0,X2))))) ),
inference(resolution,[status(thm)],[f1013,f4131]) ).
fof(f4693,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(or(X1,implies(X0,X2)),or(X1,implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f1013,f4119]) ).
fof(f4694,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(or(X1,implies(X2,X2)),or(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1013,f3515]) ).
fof(f4695,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(or(X1,not(and(X0,X2))),or(X1,not(and(X0,X2)))))) ),
inference(resolution,[status(thm)],[f1013,f3977]) ).
fof(f4696,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),and(or(X2,not(X0)),or(X2,not(X0))))) ),
inference(resolution,[status(thm)],[f1013,f1344]) ).
fof(f4697,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(or(X1,not(X1)),or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f1013,f1119]) ).
fof(f4698,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(or(X1,not(X0)),or(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f1013,f1056]) ).
fof(f4699,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(X1)),and(or(X1,X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1013,f1415]) ).
fof(f4700,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(X1)),and(or(X1,X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f1013,f1421]) ).
fof(f4701,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),and(or(X2,X0),or(X2,X0)))) ),
inference(resolution,[status(thm)],[f1013,f1069]) ).
fof(f4702,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(or(X0,X1)),and(or(X1,X0),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f1013,f1469]) ).
fof(f4703,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(X0),and(or(X1,X0),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f1013,f4004]) ).
fof(f4704,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(X0),and(or(X0,X1),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f1013,f1247]) ).
fof(f4705,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),and(and(not(X1),X0),and(not(X1),X0)))) ),
inference(resolution,[status(thm)],[f1013,f1103]) ).
fof(f4706,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(X1)),and(and(X1,X0),and(X1,X0)))) ),
inference(resolution,[status(thm)],[f1013,f796]) ).
fof(f4707,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,X1)),and(and(X1,X0),and(X1,X0)))) ),
inference(resolution,[status(thm)],[f1013,f1084]) ).
fof(f4708,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(not(X0),and(and(X0,X0),and(X0,X0)))) ),
inference(resolution,[status(thm)],[f1013,f856]) ).
fof(f4709,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(implies(or(X1,X1),X1),implies(or(X1,X1),X1)))) ),
inference(resolution,[status(thm)],[f1013,f3075]) ).
fof(f4710,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(implies(and(X1,X2),X1),implies(and(X1,X2),X1)))) ),
inference(resolution,[status(thm)],[f1013,f3090]) ).
fof(f4711,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(implies(and(X0,X1),X2),implies(and(X0,X1),X2)))) ),
inference(resolution,[status(thm)],[f1013,f1033]) ).
fof(f4712,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(implies(X1,or(X2,not(X2))),implies(X1,or(X2,not(X2)))))) ),
inference(resolution,[status(thm)],[f1013,f3516]) ).
fof(f4713,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(X0),and(implies(X1,or(X0,X2)),implies(X1,or(X0,X2))))) ),
inference(resolution,[status(thm)],[f1013,f4182]) ).
fof(f4714,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(implies(X1,implies(X0,X2)),implies(X1,implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f1013,f4170]) ).
fof(f4715,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(implies(X1,implies(X2,X2)),implies(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1013,f3484]) ).
fof(f4716,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(implies(X1,and(X1,X1)),implies(X1,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f1013,f3104]) ).
fof(f4717,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(implies(X1,not(and(X0,X2))),implies(X1,not(and(X0,X2)))))) ),
inference(resolution,[status(thm)],[f1013,f3985]) ).
fof(f4718,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),and(implies(X1,not(X0)),implies(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f1013,f2588]) ).
fof(f4719,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),and(implies(X2,not(X0)),implies(X2,not(X0))))) ),
inference(resolution,[status(thm)],[f1013,f1071]) ).
fof(f4720,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(implies(X1,not(X0)),implies(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f1013,f1032]) ).
fof(f4721,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(equiv(X0,X1)),and(implies(X1,X0),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1013,f4052]) ).
fof(f4722,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(equiv(X0,X1)),and(implies(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1013,f850]) ).
fof(f4723,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(X0),and(implies(X1,X0),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1013,f3970]) ).
fof(f4724,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(not(X0),X1),and(implies(X1,X0),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f1013,f2575]) ).
fof(f4726,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),and(implies(X2,X0),implies(X2,X0)))) ),
inference(resolution,[status(thm)],[f1013,f1029]) ).
fof(f4727,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),and(implies(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1013,f1380]) ).
fof(f4728,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),and(implies(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1013,f1376]) ).
fof(f4729,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(implies(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f1013,f1239]) ).
fof(f4730,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(implies(X1,X1),implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f1013,f1073]) ).
fof(f4731,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(X0,X1),and(not(equiv(X1,X0)),not(equiv(X1,X0))))) ),
inference(resolution,[status(thm)],[f1013,f2854]) ).
fof(f4732,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),and(not(equiv(X1,X0)),not(equiv(X1,X0))))) ),
inference(resolution,[status(thm)],[f1013,f4021]) ).
fof(f4733,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),and(not(equiv(X0,X1)),not(equiv(X0,X1))))) ),
inference(resolution,[status(thm)],[f1013,f1242]) ).
fof(f4735,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(not(not(implies(X1,X1))),not(not(implies(X1,X1)))))) ),
inference(resolution,[status(thm)],[f1013,f2279]) ).
fof(f4736,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(not(and(and(X0,X1),X2)),not(and(and(X0,X1),X2))))) ),
inference(resolution,[status(thm)],[f1013,f1034]) ).
fof(f4737,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(not(and(X1,and(X0,X2))),not(and(X1,and(X0,X2)))))) ),
inference(resolution,[status(thm)],[f1013,f4039]) ).
fof(f4738,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X1),and(not(and(X1,X0)),not(and(X1,X0))))) ),
inference(resolution,[status(thm)],[f1013,f2599]) ).
fof(f4739,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(not(and(X1,X0)),not(and(X1,X0))))) ),
inference(resolution,[status(thm)],[f1013,f3972]) ).
fof(f4740,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(not(and(X0,X1)),not(and(X0,X1))))) ),
inference(resolution,[status(thm)],[f1013,f1101]) ).
fof(f4741,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),and(not(or(X1,X0)),not(or(X1,X0))))) ),
inference(resolution,[status(thm)],[f1013,f2570]) ).
fof(f4742,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(not(or(X0,X0)),not(or(X0,X0))))) ),
inference(resolution,[status(thm)],[f1013,f1387]) ).
fof(f4743,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,or(X1,X2)),and(not(X1),not(X1)))) ),
inference(resolution,[status(thm)],[f1013,f4191]) ).
fof(f4745,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,or(X1,X2)),and(not(X1),not(X1)))) ),
inference(resolution,[status(thm)],[f1013,f4140]) ).
fof(f4746,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),and(not(X1),not(X1)))) ),
inference(resolution,[status(thm)],[f1013,f4028]) ).
fof(f4747,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,X1),and(not(X0),not(X0)))) ),
inference(resolution,[status(thm)],[f1013,f875]) ).
fof(f4748,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(and(X0,X0),and(not(X0),not(X0)))) ),
inference(resolution,[status(thm)],[f1013,f1373]) ).
fof(f4751,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(or(or(or(X0,not(X0)),X1),and(X2,X2))) ),
inference(resolution,[status(thm)],[f1013,f4324]) ).
fof(f4754,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,implies(X1,X2)),and(X1,X1))) ),
inference(resolution,[status(thm)],[f1013,f4128]) ).
fof(f4756,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(and(X1,X2))),and(X1,X1))) ),
inference(resolution,[status(thm)],[f1013,f4115]) ).
fof(f4757,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,not(X1)),and(X1,X1))) ),
inference(resolution,[status(thm)],[f1013,f1374]) ).
fof(f4761,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(and(X0,X1),X2),and(X0,X0))) ),
inference(resolution,[status(thm)],[f1013,f1378]) ).
fof(f4763,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,implies(X1,X2)),and(X1,X1))) ),
inference(resolution,[status(thm)],[f1013,f4179]) ).
fof(f4766,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(and(X1,X2))),and(X1,X1))) ),
inference(resolution,[status(thm)],[f1013,f4166]) ).
fof(f4767,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,not(X1)),and(X1,X1))) ),
inference(resolution,[status(thm)],[f1013,f1379]) ).
fof(f4768,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),and(X0,X0))) ),
inference(resolution,[status(thm)],[f1013,f865]) ).
fof(f4771,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(and(X0,X1),X2)),and(X0,X0))) ),
inference(resolution,[status(thm)],[f1013,f2478]) ).
fof(f4772,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,and(X1,X2))),and(X1,X1))) ),
inference(resolution,[status(thm)],[f1013,f4201]) ).
fof(f4773,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,X1)),and(X1,X1))) ),
inference(resolution,[status(thm)],[f1013,f4012]) ).
fof(f4774,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(X0,X1)),and(X0,X0))) ),
inference(resolution,[status(thm)],[f1013,f855]) ).
fof(f4775,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(not(or(X0,X0)),and(X0,X0))) ),
inference(resolution,[status(thm)],[f1013,f1197]) ).
fof(f4777,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(X2,and(and(X0,not(X1)),and(X0,not(X1)))))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f567,f1013]) ).
fof(f4780,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(forward_demodulation,[status(thm)],[f489,f4730]) ).
fof(f4781,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(equiv(X0,X1)),or(equiv(X1,X0),equiv(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4731]) ).
fof(f4782,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(implies(X0,X1)),or(equiv(X1,X0),equiv(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4732]) ).
fof(f4783,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(implies(X0,X1)),or(equiv(X0,X1),equiv(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4733]) ).
fof(f4785,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(X0),or(not(implies(X1,X1)),not(implies(X1,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4735]) ).
fof(f4786,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(X0),or(and(and(X0,X1),X2),and(and(X0,X1),X2))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4736]) ).
fof(f4787,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(X0),or(and(X1,and(X0,X2)),and(X1,and(X0,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4737]) ).
fof(f4788,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(and(X0,X1)),or(and(X1,X0),and(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4738]) ).
fof(f4789,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(X0),or(and(X1,X0),and(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4739]) ).
fof(f4790,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(X0),or(and(X0,X1),and(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4740]) ).
fof(f4791,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(or(X0,X1)),or(or(X1,X0),or(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4741]) ).
fof(f4792,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(X0),or(or(X0,X0),or(X0,X0))))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4742]) ).
fof(f4793,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(implies(X0,or(X1,X2))),or(X1,X1)))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4743]) ).
fof(f4795,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(or(X0,or(X1,X2))),or(X1,X1)))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4745]) ).
fof(f4796,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(or(X0,X1)),or(X1,X1)))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4746]) ).
fof(f4797,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(or(X0,X1)),or(X0,X0)))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4747]) ).
fof(f4798,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(and(not(and(X0,X0)),or(X0,X0)))) ),
inference(forward_demodulation,[status(thm)],[f2629,f4748]) ).
fof(f4800,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(equiv(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f4780,f964]) ).
fof(f4802,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(equiv(X0,X0),X1),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f4780,f730]) ).
fof(f4803,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(equiv(X1,X1))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f4780,f570]) ).
fof(f4804,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(not(not(equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f4780,f915]) ).
fof(f4807,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ87_spl
| is_a_theorem(and(or(X0,equiv(X1,X1)),or(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f4780,f571]) ).
fof(f4809,definition,
! [X1] :
( sQ117_spl
<=> is_a_theorem(equiv(X1,X1)) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f4810,plain,
! [X0] :
( ~ sQ117_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(component_clause,[status(thm)],[f4809]) ).
fof(f4812,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ117_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f4803,f1509,f4809,f488,f348,f367,f249,f171,f474,f460]) ).
fof(f4813,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,and(equiv(X1,X1),equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f4800,f1013]) ).
fof(f4815,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f4800,f570]) ).
fof(f4819,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(and(or(equiv(X0,X0),X1),or(equiv(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f4800,f571]) ).
fof(f4820,definition,
! [X0] :
( sQ118_spl
<=> ~ is_a_theorem(not(equiv(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f4821,plain,
! [X0] :
( ~ sQ118_spl
| ~ is_a_theorem(not(equiv(X0,X0))) ),
inference(component_clause,[status(thm)],[f4820]) ).
fof(f4823,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ89_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f4815,f4820,f1124,f488,f348,f249,f367,f171,f474,f460]) ).
fof(f4824,plain,
( sQ77_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1279]) ).
fof(f4826,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f4804,f4023]) ).
fof(f4830,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,implies(not(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4804,f4186]) ).
fof(f4831,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,implies(not(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4804,f4135]) ).
fof(f4833,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(and(not(equiv(X0,X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f4804,f1500]) ).
fof(f4834,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(not(and(not(equiv(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f4804,f862]) ).
fof(f4835,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(not(or(not(equiv(X0,X0)),not(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f4804,f1504]) ).
fof(f4836,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,not(not(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4804,f1501]) ).
fof(f4837,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,not(not(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4804,f1499]) ).
fof(f4839,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(and(not(not(equiv(X0,X0))),not(not(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f4804,f571]) ).
fof(f4840,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,or(equiv(X1,X1),X2))) ),
inference(forward_demodulation,[status(thm)],[f530,f4830]) ).
fof(f4841,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,or(equiv(X1,X1),X2))) ),
inference(forward_demodulation,[status(thm)],[f530,f4831]) ).
fof(f4844,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(equiv(X0,X0),implies(X1,X2)),not(equiv(X1,X2)))) ),
inference(resolution,[status(thm)],[f4826,f930]) ).
fof(f4846,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f4826,f1597]) ).
fof(f4847,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f4826,f1612]) ).
fof(f4848,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(equiv(X0,X0),X1),not(and(X1,X2)))) ),
inference(resolution,[status(thm)],[f4826,f715]) ).
fof(f4850,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(equiv(X1,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4826,f172]) ).
fof(f4851,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,equiv(X1,X1)),implies(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f4826,f571]) ).
fof(f4853,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ117_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f4850,f1635,f4809,f488,f348,f249,f367,f474,f460,f171]) ).
fof(f4859,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ100_spl
| ~ is_a_theorem(and(implies(X0,X1),or(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f475,f2914]) ).
fof(f4865,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ101_spl
| ~ is_a_theorem(not(not(and(or(and(X0,not(X1)),and(X0,not(X1))),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f566,f3124]) ).
fof(f4881,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ103_spl
| ~ is_a_theorem(not(not(and(not(X0),implies(not(X0),X0))))) ),
inference(paramodulation,[status(thm)],[f566,f3218]) ).
fof(f4893,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(and(X0,X0),and(implies(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f4768,f1013]) ).
fof(f4894,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(and(X0,X0),X1),implies(X1,implies(X0,X2)))) ),
inference(resolution,[status(thm)],[f4768,f730]) ).
fof(f4895,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(and(X0,X0))
| ~ is_a_theorem(not(implies(X0,X1))) ),
inference(resolution,[status(thm)],[f4768,f570]) ).
fof(f4896,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X0),implies(X0,X1))) ),
inference(resolution,[status(thm)],[f4768,f1347]) ).
fof(f4897,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ79_spl
| ~ sQ54_spl
| is_a_theorem(and(or(implies(X0,X1),and(X0,X0)),or(implies(X0,X1),and(X0,X0)))) ),
inference(resolution,[status(thm)],[f4768,f571]) ).
fof(f4905,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(equiv(X0,X0),X1),implies(X2,X3)),not(equiv(X2,X3)))) ),
inference(resolution,[status(thm)],[f4840,f930]) ).
fof(f4906,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(equiv(X0,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f4840,f987]) ).
fof(f4907,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,implies(X1,or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4840,f1597]) ).
fof(f4908,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,implies(X1,or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f4840,f1612]) ).
fof(f4909,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(or(equiv(X0,X0),X1),X2),not(and(X2,X3)))) ),
inference(resolution,[status(thm)],[f4840,f715]) ).
fof(f4911,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(equiv(X1,X1),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4840,f172]) ).
fof(f4912,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(equiv(X1,X1),X2)),implies(X0,or(equiv(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f4840,f571]) ).
fof(f4914,definition,
! [X1,X2] :
( sQ119_spl
<=> is_a_theorem(or(equiv(X1,X1),X2)) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f4915,plain,
! [X0,X1] :
( ~ sQ119_spl
| is_a_theorem(or(equiv(X0,X0),X1)) ),
inference(component_clause,[status(thm)],[f4914]) ).
fof(f4917,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ119_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f4911,f1635,f4914,f488,f348,f249,f367,f474,f460,f171]) ).
fof(f4920,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(or(equiv(X0,X0),X1),X2),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f4841,f730]) ).
fof(f4921,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(equiv(X1,X1),X2))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f4841,f570]) ).
fof(f4922,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(not(not(or(equiv(X0,X0),X1)))) ),
inference(resolution,[status(thm)],[f4841,f915]) ).
fof(f4925,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(and(or(X0,or(equiv(X1,X1),X2)),or(X0,or(equiv(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f4841,f571]) ).
fof(f4927,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ119_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f4921,f1509,f4914,f488,f348,f249,f367,f171,f474,f460]) ).
fof(f4928,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,equiv(X1,X1)),implies(X2,X3)),not(equiv(X2,X3)))) ),
inference(resolution,[status(thm)],[f4846,f930]) ).
fof(f4929,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(implies(X0,equiv(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f4846,f987]) ).
fof(f4930,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(equiv(X0,equiv(X1,X1)),not(and(implies(equiv(X1,X1),X0),X2)))) ),
inference(resolution,[status(thm)],[f4846,f888]) ).
fof(f4931,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4846,f1597]) ).
fof(f4932,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f4846,f1612]) ).
fof(f4933,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(implies(X0,equiv(X1,X1)),X2),not(and(X2,X3)))) ),
inference(resolution,[status(thm)],[f4846,f715]) ).
fof(f4935,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X1,equiv(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4846,f172]) ).
fof(f4936,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,implies(X1,equiv(X2,X2))),implies(X0,implies(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4846,f571]) ).
fof(f4938,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,or(X1,equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f530,f4846]) ).
fof(f4939,definition,
! [X1,X2] :
( sQ120_spl
<=> is_a_theorem(implies(X1,equiv(X2,X2))) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f4940,plain,
! [X0,X1] :
( ~ sQ120_spl
| is_a_theorem(implies(X0,equiv(X1,X1))) ),
inference(component_clause,[status(thm)],[f4939]) ).
fof(f4942,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ120_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f4935,f1635,f4939,f488,f348,f249,f367,f460,f474,f171]) ).
fof(f4945,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(implies(X0,equiv(X1,X1)),X2),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f4847,f730]) ).
fof(f4946,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X1,equiv(X2,X2)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f4847,f570]) ).
fof(f4947,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(not(not(implies(X0,equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f4847,f915]) ).
fof(f4950,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(and(or(X0,implies(X1,equiv(X2,X2))),or(X0,implies(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4847,f571]) ).
fof(f4952,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,or(X1,equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f530,f4847]) ).
fof(f4953,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ120_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f4946,f1509,f4939,f488,f348,f249,f367,f171,f474,f460]) ).
fof(f4955,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| is_a_theorem(or(implies(X0,X1),and(and(X0,X0),and(X0,X0)))) ),
inference(resolution,[status(thm)],[f4896,f1013]) ).
fof(f4956,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(implies(X0,X1),X2),implies(X2,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f4896,f730]) ).
fof(f4957,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(not(and(X0,X0))) ),
inference(resolution,[status(thm)],[f4896,f570]) ).
fof(f4959,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(or(and(X0,X0),implies(X0,X1)),or(and(X0,X0),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f4896,f571]) ).
fof(f4960,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(not(X0),X0),implies(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f567,f4896]) ).
fof(f4964,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,X0),not(and(X0,implies(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f566,f4896]) ).
fof(f4965,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(X0,X0),implies(not(X0),X1))) ),
inference(forward_demodulation,[status(thm)],[f530,f4960]) ).
fof(f4966,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(X0,X0),or(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f530,f4965]) ).
fof(f4969,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,and(or(equiv(X1,X1),X2),or(equiv(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f4906,f1013]) ).
fof(f4971,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(equiv(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f4906,f570]) ).
fof(f4975,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_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)],[f4906,f571]) ).
fof(f4976,definition,
! [X0,X1] :
( sQ121_spl
<=> ~ is_a_theorem(not(or(equiv(X0,X0),X1))) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f4977,plain,
! [X0,X1] :
( ~ sQ121_spl
| ~ is_a_theorem(not(or(equiv(X0,X0),X1))) ),
inference(component_clause,[status(thm)],[f4976]) ).
fof(f4979,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ89_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f4971,f4976,f1124,f488,f348,f249,f367,f171,f474,f460]) ).
fof(f4981,plain,
( ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ88_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1128,f1125]) ).
fof(f4982,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ88_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1195,f1125]) ).
fof(f4983,plain,
( ~ sQ88_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1122,f1125]) ).
fof(f4984,plain,
( ~ sQ83_spl
| ~ sQ88_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1196,f1125]) ).
fof(f4985,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ88_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2648,f1125]) ).
fof(f4986,plain,
( ~ sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(sK41_skl,or(sK41_skl,sK42_skl))) ),
inference(forward_demodulation,[status(thm)],[f530,f391]) ).
fof(f4987,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)],[f530,f210]) ).
fof(f4988,plain,
( ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ88_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f4981]) ).
fof(f4989,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(resolution,[status(thm)],[f316,f172]) ).
fof(f4996,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f571,f1083]) ).
fof(f5002,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ54_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f571,f1074]) ).
fof(f5006,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f489,f349]) ).
fof(f5007,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f489,f250]) ).
fof(f5056,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ95_spl
| is_a_theorem(and(not(not(implies(X0,X0))),not(not(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f1639,f571]) ).
fof(f5057,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ95_spl
| is_a_theorem(not(not(or(X0,not(X0))))) ),
inference(paramodulation,[status(thm)],[f530,f1639]) ).
fof(f5062,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ100_spl
| ~ is_a_theorem(and(implies(X0,X1),or(and(X0,not(X1)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f475,f2914]) ).
fof(f5134,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,X1),not(equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f489,f855]) ).
fof(f5177,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(or(and(X0,not(X1)),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f475,f1078]) ).
fof(f5179,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(not(not(implies(implies(X0,X1),implies(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f567,f5177]) ).
fof(f5266,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f489,f3053]) ).
fof(f5308,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f489,f3381]) ).
fof(f5332,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(or(X0,X0)) ),
inference(resolution,[status(thm)],[f4966,f172]) ).
fof(f5333,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| is_a_theorem(and(implies(or(X0,X0),or(X0,X1)),implies(or(X0,X0),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f4966,f571]) ).
fof(f5334,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X1,equiv(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f4938,f172]) ).
fof(f5335,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,or(X1,equiv(X2,X2))),implies(X0,or(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4938,f571]) ).
fof(f5337,definition,
! [X1,X2] :
( sQ122_spl
<=> is_a_theorem(or(X1,equiv(X2,X2))) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f5338,plain,
! [X0,X1] :
( ~ sQ122_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(component_clause,[status(thm)],[f5337]) ).
fof(f5340,plain,
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ122_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f5334,f1635,f5337,f488,f348,f249,f367,f474,f460,f171]) ).
fof(f5343,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(and(or(implies(X0,equiv(X1,X1)),X2),or(implies(X0,equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f4929,f571]) ).
fof(f5344,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(X0,equiv(X1,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f530,f4929]) ).
fof(f5347,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ87_spl
| is_a_theorem(and(or(X0,or(X1,equiv(X2,X2))),or(X0,or(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f4952,f571]) ).
fof(f5376,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_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)],[f5344,f571]) ).
fof(f5384,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(or(and(or(X0,X1),X2),not(and(X2,or(X0,X0))))) ),
inference(resolution,[status(thm)],[f715,f4966]) ).
fof(f5392,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(or(X0,equiv(X1,X1)),X2),not(and(X2,X3)))) ),
inference(resolution,[status(thm)],[f715,f4938]) ).
fof(f5410,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(not(not(or(X0,equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f915,f5344]) ).
fof(f5418,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f915,f1380]) ).
fof(f5419,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f915,f1029]) ).
fof(f5420,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f915,f1073]) ).
fof(f5432,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ54_spl
| ~ sQ49_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f915,f1381]) ).
fof(f5455,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f570,f5344]) ).
fof(f5466,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f570,f4929]) ).
fof(f5489,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X1,equiv(X2,X2)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f570,f4952]) ).
fof(f5511,definition,
! [X0,X1] :
( sQ123_spl
<=> ~ is_a_theorem(not(or(X0,equiv(X1,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f5514,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ89_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f5455,f5511,f1124,f488,f348,f249,f367,f171,f474,f460]) ).
fof(f5519,definition,
! [X0,X1] :
( sQ124_spl
<=> ~ is_a_theorem(not(implies(X0,equiv(X1,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f5522,plain,
( ~ sQ1_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ89_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f5466,f5519,f1124,f488,f348,f249,f367,f460,f474,f171]) ).
fof(f5529,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ54_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ122_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f5489,f1509,f5337,f488,f348,f249,f367,f171,f474,f460]) ).
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
| ~ sQ91_spl
| sQ92_spl
| sQ93_spl
| ~ sQ94_spl
| sQ95_spl
| sQ104_spl
| sQ105_spl
| sQ107_spl
| sQ109_spl
| sQ111_spl
| sQ113_spl
| sQ115_spl
| sQ117_spl
| sQ119_spl
| sQ120_spl
| sQ122_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL910+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n011.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 01:10:46 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 % Drodi V4.1.1
% 14.27/7.38 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 14.27/7.38 % SZS output start Saturation for theBenchmark
% See solution above
% 3.08/7.46 % Elapsed time: 2.058291 seconds
% 3.08/7.46 % CPU time: 16.053158 seconds
% 3.08/7.46 % Total memory used: 320.609 MB
% 3.08/7.46 % Net memory used: 310.803 MB
%------------------------------------------------------------------------------