%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL909+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 01:11:20 PM UTC 2026
% Result : Satisfiable 10.59s 7.04s
% Output : Saturation 1.39s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X,Y] :
( ( is_a_theorem(implies(X,Y))
& is_a_theorem(X) )
=> is_a_theorem(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X,Y] :
( is_a_theorem(equiv(X,Y))
=> X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( modus_tollens
<=> ! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( implies_1
<=> ! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( implies_2
<=> ! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( implies_3
<=> ! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( and_1
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( and_2
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( and_3
<=> ! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( or_1
<=> ! [X,Y] : is_a_theorem(implies(X,or(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( or_2
<=> ! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( or_3
<=> ! [X,Y,Z] : is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( equivalence_1
<=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( equivalence_2
<=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(Y,X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( equivalence_3
<=> ! [X,Y] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( kn1
<=> ! [P] : is_a_theorem(implies(P,and(P,P))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( kn2
<=> ! [P,Q] : is_a_theorem(implies(and(P,Q),P)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( kn3
<=> ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
( cn1
<=> ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( cn2
<=> ! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
( cn3
<=> ! [P] : is_a_theorem(implies(implies(not(P),P),P)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
( r1
<=> ! [P] : is_a_theorem(implies(or(P,P),P)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
( r2
<=> ! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
( r3
<=> ! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
( r4
<=> ! [P,Q,R] : is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
( r5
<=> ! [P,Q,R] : is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
( op_or
=> ! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
( op_and
=> ! [X,Y] : and(X,Y) = not(or(not(X),not(Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
( op_implies_and
=> ! [X,Y] : implies(X,Y) = not(and(X,not(Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
( op_implies_or
=> ! [X,Y] : implies(X,Y) = or(not(X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
( op_equiv
=> ! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
op_implies_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
op_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
op_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
r2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
r3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
r4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
r5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,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(f43,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)],[f42]) ).
fof(f44,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)],[f43]) ).
fof(f45,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)],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| ~ modus_ponens ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f50,plain,
( substitution_of_equivalents
<=> ! [X,Y] :
( X = Y
| ~ is_a_theorem(equiv(X,Y)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f51,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)],[f50]) ).
fof(f52,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)],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f56,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(f57,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)],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
| ~ modus_tollens ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
( ~ is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl)))
| modus_tollens ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f60,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(f61,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)],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
( ~ is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl)))
| implies_1 ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f64,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(f65,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)],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,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)],[f65]) ).
fof(f68,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(f69,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)],[f68]) ).
fof(f70,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)],[f69]) ).
fof(f71,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)],[f69]) ).
fof(f72,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(f73,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)],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
( ~ is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl))
| and_1 ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f76,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(f77,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)],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X1))
| ~ and_2 ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f79,plain,
( ~ is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl))
| and_2 ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f80,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(f81,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)],[f80]) ).
fof(f82,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
( ~ is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl))))
| and_3 ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f84,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(f85,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)],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
( ~ is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl)))
| or_1 ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f88,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(f89,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)],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X1,X0)))
| ~ or_2 ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
( ~ is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl)))
| or_2 ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f92,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(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 )
& ( ! [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)],[f92]) ).
fof(f94,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)],[f93]) ).
fof(f95,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)],[f93]) ).
fof(f96,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(f97,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)],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
| ~ equivalence_1 ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
( ~ is_a_theorem(implies(equiv(sK26_skl,sK27_skl),implies(sK26_skl,sK27_skl)))
| equivalence_1 ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f100,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(f101,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)],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
| ~ equivalence_2 ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
( ~ is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl)))
| equivalence_2 ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f104,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(f105,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)],[f104]) ).
fof(f106,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
| ~ equivalence_3 ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,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)],[f105]) ).
fof(f108,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(f109,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)],[f108]) ).
fof(f110,plain,
! [X0] :
( is_a_theorem(implies(X0,and(X0,X0)))
| ~ kn1 ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f111,plain,
( ~ is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl)))
| kn1 ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f112,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(f113,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)],[f112]) ).
fof(f114,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ kn2 ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
( ~ is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl))
| kn2 ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f116,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(f117,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)],[f116]) ).
fof(f118,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)],[f117]) ).
fof(f119,plain,
( ~ is_a_theorem(implies(implies(sK35_skl,sK36_skl),implies(not(and(sK36_skl,sK37_skl)),not(and(sK37_skl,sK35_skl)))))
| kn3 ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f120,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(f121,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)],[f120]) ).
fof(f122,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f123,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)],[f121]) ).
fof(f124,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(f125,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)],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f127,plain,
( ~ is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl)))
| cn2 ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f128,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(f129,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)],[f128]) ).
fof(f130,plain,
! [X0] :
( is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,plain,
( ~ is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl))
| cn3 ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f132,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(f133,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)],[f132]) ).
fof(f134,plain,
! [X0] :
( is_a_theorem(implies(or(X0,X0),X0))
| ~ r1 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,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(f137,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)],[f136]) ).
fof(f138,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X1,X0)))
| ~ r2 ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f140,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(f141,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)],[f140]) ).
fof(f142,plain,
! [X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f144,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(f145,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)],[f144]) ).
fof(f146,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
| ~ r4 ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f148,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(f149,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)],[f148]) ).
fof(f150,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))
| ~ r5 ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f152,plain,
( ! [X,Y] : or(X,Y) = not(and(not(X),not(Y)))
| ~ op_or ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f153,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
( ! [X,Y] : and(X,Y) = not(or(not(X),not(Y)))
| ~ op_and ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f155,plain,
! [X0,X1] :
( and(X0,X1) = not(or(not(X0),not(X1)))
| ~ op_and ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
( ! [X,Y] : implies(X,Y) = not(and(X,not(Y)))
| ~ op_implies_and ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f157,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( ! [X,Y] : implies(X,Y) = or(not(X),Y)
| ~ op_implies_or ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f159,plain,
! [X0,X1] :
( implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
( ! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X))
| ~ op_equiv ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f161,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
op_implies_or,
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f163,plain,
op_and,
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f164,plain,
op_equiv,
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f165,plain,
modus_ponens,
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f166,plain,
r1,
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f167,plain,
r2,
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f168,plain,
r3,
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f169,plain,
r4,
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f170,plain,
r5,
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f171,plain,
substitution_of_equivalents,
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f172,definition,
( sQ0_spl
<=> modus_ponens ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( sQ0_spl
| ~ modus_ponens ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,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(f176,plain,
! [X0,X1] :
( ~ sQ1_spl
| is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f172,f175]) ).
fof(f179,definition,
( sQ2_spl
<=> is_a_theorem(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ2_spl
| is_a_theorem(sK1_skl) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f183,definition,
( sQ3_spl
<=> is_a_theorem(implies(sK1_skl,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ3_spl
| is_a_theorem(implies(sK1_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f187,definition,
( sQ4_spl
<=> is_a_theorem(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( sQ4_spl
| ~ is_a_theorem(sK0_skl) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f191,definition,
( sQ5_spl
<=> substitution_of_equivalents ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( sQ5_spl
| ~ substitution_of_equivalents ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,definition,
! [X0,X1] :
( sQ6_spl
<=> ( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f195,plain,
! [X0,X1] :
( ~ sQ6_spl
| X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f53,f191,f194]) ).
fof(f198,definition,
( sQ7_spl
<=> is_a_theorem(equiv(sK2_skl,sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ7_spl
| is_a_theorem(equiv(sK2_skl,sK3_skl)) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f202,definition,
( sQ8_spl
<=> sK2_skl = sK3_skl ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( sQ8_spl
| sK2_skl != sK3_skl ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f206,definition,
( sQ9_spl
<=> modus_tollens ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ9_spl
| modus_tollens ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( sQ9_spl
| ~ modus_tollens ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,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(f210,plain,
! [X0,X1] :
( ~ sQ10_spl
| is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f58,f206,f209]) ).
fof(f213,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(f214,plain,
( ~ sQ11_spl
| is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f215,plain,
( sQ11_spl
| ~ is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( ~ sQ11_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f59,f206,f213]) ).
fof(f217,definition,
( sQ12_spl
<=> implies_1 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ12_spl
| implies_1 ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f219,plain,
( sQ12_spl
| ~ implies_1 ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,definition,
! [X0,X1] :
( sQ13_spl
<=> is_a_theorem(implies(X0,implies(X1,X0))) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f221,plain,
! [X0,X1] :
( ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f62,f217,f220]) ).
fof(f224,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(f225,plain,
( ~ sQ14_spl
| is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl))) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f226,plain,
( sQ14_spl
| ~ is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl))) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( ~ sQ14_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f63,f217,f224]) ).
fof(f228,definition,
( sQ15_spl
<=> implies_2 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ15_spl
| implies_2 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( sQ15_spl
| ~ implies_2 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,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(f232,plain,
! [X0,X1] :
( ~ sQ16_spl
| is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f66,f228,f231]) ).
fof(f235,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(f236,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)],[f235]) ).
fof(f237,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)],[f235]) ).
fof(f238,plain,
( ~ sQ17_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f67,f228,f235]) ).
fof(f239,definition,
( sQ18_spl
<=> implies_3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ18_spl
| implies_3 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f241,plain,
( sQ18_spl
| ~ implies_3 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,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(f243,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)],[f242]) ).
fof(f245,plain,
( sQ19_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f70,f239,f242]) ).
fof(f246,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(f247,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)],[f246]) ).
fof(f248,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)],[f246]) ).
fof(f249,plain,
( ~ sQ20_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f71,f239,f246]) ).
fof(f250,definition,
( sQ21_spl
<=> and_1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ21_spl
| and_1 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f252,plain,
( sQ21_spl
| ~ and_1 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,definition,
! [X0,X1] :
( sQ22_spl
<=> is_a_theorem(implies(and(X0,X1),X0)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f254,plain,
! [X0,X1] :
( ~ sQ22_spl
| is_a_theorem(implies(and(X0,X1),X0)) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f74,f250,f253]) ).
fof(f257,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(f258,plain,
( ~ sQ23_spl
| is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl)) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( sQ23_spl
| ~ is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl)) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( ~ sQ23_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f75,f250,f257]) ).
fof(f261,definition,
( sQ24_spl
<=> and_2 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( ~ sQ24_spl
| and_2 ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f263,plain,
( sQ24_spl
| ~ and_2 ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,definition,
! [X0,X1] :
( sQ25_spl
<=> is_a_theorem(implies(and(X0,X1),X1)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f265,plain,
! [X0,X1] :
( ~ sQ25_spl
| is_a_theorem(implies(and(X0,X1),X1)) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f78,f261,f264]) ).
fof(f268,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(f269,plain,
( ~ sQ26_spl
| is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl)) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f270,plain,
( sQ26_spl
| ~ is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl)) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( ~ sQ26_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f79,f261,f268]) ).
fof(f272,definition,
( sQ27_spl
<=> and_3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ27_spl
| and_3 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( sQ27_spl
| ~ and_3 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,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(f276,plain,
! [X0,X1] :
( ~ sQ28_spl
| is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( sQ28_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f82,f272,f275]) ).
fof(f279,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(f280,plain,
( ~ sQ29_spl
| is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl)))) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( sQ29_spl
| ~ is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl)))) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( ~ sQ29_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f83,f272,f279]) ).
fof(f283,definition,
( sQ30_spl
<=> or_1 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ30_spl
| or_1 ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f285,plain,
( sQ30_spl
| ~ or_1 ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,definition,
! [X0,X1] :
( sQ31_spl
<=> is_a_theorem(implies(X0,or(X0,X1))) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f287,plain,
! [X0,X1] :
( ~ sQ31_spl
| is_a_theorem(implies(X0,or(X0,X1))) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f86,f283,f286]) ).
fof(f290,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(f291,plain,
( ~ sQ32_spl
| is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl))) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f292,plain,
( sQ32_spl
| ~ is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl))) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( ~ sQ32_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f87,f283,f290]) ).
fof(f294,definition,
( sQ33_spl
<=> or_2 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ33_spl
| or_2 ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f296,plain,
( sQ33_spl
| ~ or_2 ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
! [X0,X1] :
( sQ34_spl
<=> is_a_theorem(implies(X0,or(X1,X0))) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f298,plain,
! [X0,X1] :
( ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f90,f294,f297]) ).
fof(f301,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(f302,plain,
( ~ sQ35_spl
| is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl))) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f303,plain,
( sQ35_spl
| ~ is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl))) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,plain,
( ~ sQ35_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f91,f294,f301]) ).
fof(f305,definition,
( sQ36_spl
<=> or_3 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ36_spl
| or_3 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f307,plain,
( sQ36_spl
| ~ or_3 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,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(f309,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)],[f308]) ).
fof(f311,plain,
( sQ37_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f94,f305,f308]) ).
fof(f312,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(f313,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)],[f312]) ).
fof(f314,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)],[f312]) ).
fof(f315,plain,
( ~ sQ38_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f95,f305,f312]) ).
fof(f316,definition,
( sQ39_spl
<=> equivalence_1 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ39_spl
| equivalence_1 ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f318,plain,
( sQ39_spl
| ~ equivalence_1 ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,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(f320,plain,
! [X0,X1] :
( ~ sQ40_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,plain,
( sQ40_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f98,f316,f319]) ).
fof(f323,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(f324,plain,
( ~ sQ41_spl
| is_a_theorem(implies(equiv(sK26_skl,sK27_skl),implies(sK26_skl,sK27_skl))) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f325,plain,
( sQ41_spl
| ~ is_a_theorem(implies(equiv(sK26_skl,sK27_skl),implies(sK26_skl,sK27_skl))) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( ~ sQ41_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f99,f316,f323]) ).
fof(f327,definition,
( sQ42_spl
<=> equivalence_2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ42_spl
| equivalence_2 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f329,plain,
( sQ42_spl
| ~ equivalence_2 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,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(f331,plain,
! [X0,X1] :
( ~ sQ43_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( sQ43_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f102,f327,f330]) ).
fof(f334,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(f335,plain,
( ~ sQ44_spl
| is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl))) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f336,plain,
( sQ44_spl
| ~ is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl))) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( ~ sQ44_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f103,f327,f334]) ).
fof(f338,definition,
( sQ45_spl
<=> equivalence_3 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ45_spl
| equivalence_3 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f340,plain,
( sQ45_spl
| ~ equivalence_3 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,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(f342,plain,
! [X0,X1] :
( ~ sQ46_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( sQ46_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f106,f338,f341]) ).
fof(f345,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(f346,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)],[f345]) ).
fof(f347,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)],[f345]) ).
fof(f348,plain,
( ~ sQ47_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f107,f338,f345]) ).
fof(f349,definition,
( sQ48_spl
<=> kn1 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ48_spl
| kn1 ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f351,plain,
( sQ48_spl
| ~ kn1 ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
! [X0] :
( sQ49_spl
<=> is_a_theorem(implies(X0,and(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f353,plain,
! [X0] :
( ~ sQ49_spl
| is_a_theorem(implies(X0,and(X0,X0))) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( sQ49_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f110,f349,f352]) ).
fof(f356,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(f357,plain,
( ~ sQ50_spl
| is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl))) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f358,plain,
( sQ50_spl
| ~ is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl))) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( ~ sQ50_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f111,f349,f356]) ).
fof(f360,definition,
( sQ51_spl
<=> kn2 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ51_spl
| kn2 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f362,plain,
( sQ51_spl
| ~ kn2 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( sQ22_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f114,f360,f253]) ).
fof(f364,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(f365,plain,
( ~ sQ52_spl
| is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl)) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( sQ52_spl
| ~ is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl)) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( ~ sQ52_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f115,f360,f364]) ).
fof(f368,definition,
( sQ53_spl
<=> kn3 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( ~ sQ53_spl
| kn3 ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f370,plain,
( sQ53_spl
| ~ kn3 ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,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(f372,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)],[f371]) ).
fof(f374,plain,
( sQ54_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f118,f368,f371]) ).
fof(f375,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(f376,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)],[f375]) ).
fof(f377,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)],[f375]) ).
fof(f378,plain,
( ~ sQ55_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f119,f368,f375]) ).
fof(f379,definition,
( sQ56_spl
<=> cn1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ56_spl
| cn1 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f381,plain,
( sQ56_spl
| ~ cn1 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( sQ19_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f122,f379,f242]) ).
fof(f383,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(f384,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)],[f383]) ).
fof(f385,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)],[f383]) ).
fof(f386,plain,
( ~ sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f123,f379,f383]) ).
fof(f387,definition,
( sQ58_spl
<=> cn2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( ~ sQ58_spl
| cn2 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f389,plain,
( sQ58_spl
| ~ cn2 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,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(f391,plain,
! [X0,X1] :
( ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( sQ59_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f126,f387,f390]) ).
fof(f394,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(f395,plain,
( ~ sQ60_spl
| is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl))) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f396,plain,
( sQ60_spl
| ~ is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl))) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,plain,
( ~ sQ60_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f127,f387,f394]) ).
fof(f398,definition,
( sQ61_spl
<=> cn3 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ61_spl
| cn3 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f400,plain,
( sQ61_spl
| ~ cn3 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
! [X0] :
( sQ62_spl
<=> is_a_theorem(implies(implies(not(X0),X0),X0)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f402,plain,
! [X0] :
( ~ sQ62_spl
| is_a_theorem(implies(implies(not(X0),X0),X0)) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( sQ62_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f130,f398,f401]) ).
fof(f405,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(f406,plain,
( ~ sQ63_spl
| is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl)) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ63_spl
| ~ is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl)) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( ~ sQ63_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f131,f398,f405]) ).
fof(f409,definition,
( sQ64_spl
<=> r1 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( sQ64_spl
| ~ r1 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
! [X0] :
( sQ65_spl
<=> is_a_theorem(implies(or(X0,X0),X0)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f413,plain,
! [X0] :
( ~ sQ65_spl
| is_a_theorem(implies(or(X0,X0),X0)) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( sQ65_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f134,f409,f412]) ).
fof(f416,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(f417,plain,
( ~ sQ66_spl
| is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl)) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f418,plain,
( sQ66_spl
| ~ is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl)) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f420,definition,
( sQ67_spl
<=> r2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( sQ67_spl
| ~ r2 ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,plain,
( sQ34_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f138,f420,f297]) ).
fof(f424,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(f425,plain,
( ~ sQ68_spl
| is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl))) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ68_spl
| ~ is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl))) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f428,definition,
( sQ69_spl
<=> r3 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( sQ69_spl
| ~ r3 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,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(f432,plain,
! [X0,X1] :
( ~ sQ70_spl
| is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( sQ70_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f142,f428,f431]) ).
fof(f435,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(f436,plain,
( ~ sQ71_spl
| is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl))) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f437,plain,
( sQ71_spl
| ~ is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl))) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f439,definition,
( sQ72_spl
<=> r4 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( sQ72_spl
| ~ r4 ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,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(f443,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)],[f442]) ).
fof(f445,plain,
( sQ73_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f146,f439,f442]) ).
fof(f446,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(f447,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)],[f446]) ).
fof(f448,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)],[f446]) ).
fof(f450,definition,
( sQ75_spl
<=> r5 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( sQ75_spl
| ~ r5 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,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(f454,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)],[f453]) ).
fof(f456,plain,
( sQ76_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f150,f450,f453]) ).
fof(f457,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(f458,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)],[f457]) ).
fof(f459,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)],[f457]) ).
fof(f461,definition,
( sQ78_spl
<=> op_or ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( sQ78_spl
| ~ op_or ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,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(f467,plain,
( sQ79_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f153,f461,f464]) ).
fof(f468,definition,
( sQ80_spl
<=> op_and ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( sQ80_spl
| ~ op_and ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,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(f472,plain,
! [X0,X1] :
( ~ sQ81_spl
| and(X0,X1) = not(or(not(X0),not(X1))) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( sQ81_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f155,f468,f471]) ).
fof(f475,definition,
( sQ82_spl
<=> op_implies_and ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( sQ82_spl
| ~ op_implies_and ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,definition,
! [X0,X1] :
( sQ83_spl
<=> implies(X0,X1) = not(and(X0,not(X1))) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( sQ83_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f157,f475,f478]) ).
fof(f482,definition,
( sQ84_spl
<=> op_implies_or ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( sQ84_spl
| ~ op_implies_or ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
! [X0,X1] :
( sQ85_spl
<=> implies(X0,X1) = or(not(X0),X1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f486,plain,
! [X0,X1] :
( ~ sQ85_spl
| implies(X0,X1) = or(not(X0),X1) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( sQ85_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f159,f482,f485]) ).
fof(f489,definition,
( sQ86_spl
<=> op_equiv ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( sQ86_spl
| ~ op_equiv ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,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(f493,plain,
! [X0,X1] :
( ~ sQ87_spl
| equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,plain,
( sQ87_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f161,f489,f492]) ).
fof(f496,plain,
( sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f491,f164]) ).
fof(f497,plain,
sQ86_spl,
inference(contradiction_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f484,f162]) ).
fof(f499,plain,
sQ84_spl,
inference(contradiction_clause,[status(thm)],[f498]) ).
fof(f500,plain,
( sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f470,f163]) ).
fof(f501,plain,
sQ80_spl,
inference(contradiction_clause,[status(thm)],[f500]) ).
fof(f502,plain,
( sQ77_spl
| ~ sQ76_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f459,f454]) ).
fof(f503,plain,
( sQ74_spl
| ~ sQ73_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f448,f443]) ).
fof(f504,plain,
( sQ71_spl
| ~ sQ70_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f437,f432]) ).
fof(f505,plain,
( sQ68_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f426,f298]) ).
fof(f506,plain,
( sQ68_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f505]) ).
fof(f507,plain,
( sQ66_spl
| ~ sQ65_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f418,f413]) ).
fof(f508,plain,
( sQ63_spl
| ~ sQ62_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f407,f402]) ).
fof(f509,plain,
( sQ60_spl
| ~ sQ59_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f396,f391]) ).
fof(f510,plain,
( sQ57_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f385,f243]) ).
fof(f511,plain,
( sQ57_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f510]) ).
fof(f512,plain,
( sQ55_spl
| ~ sQ54_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f377,f372]) ).
fof(f513,plain,
( sQ52_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f366,f254]) ).
fof(f514,plain,
( sQ52_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f513]) ).
fof(f515,plain,
( sQ50_spl
| ~ sQ49_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f358,f353]) ).
fof(f516,plain,
( sQ47_spl
| ~ sQ46_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f347,f342]) ).
fof(f517,plain,
( sQ44_spl
| ~ sQ43_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f336,f331]) ).
fof(f518,plain,
( sQ41_spl
| ~ sQ40_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f325,f320]) ).
fof(f519,plain,
( sQ38_spl
| ~ sQ37_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f314,f309]) ).
fof(f520,plain,
( sQ32_spl
| ~ sQ31_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f292,f287]) ).
fof(f521,plain,
( sQ29_spl
| ~ sQ28_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f281,f276]) ).
fof(f522,plain,
( sQ26_spl
| ~ sQ25_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f270,f265]) ).
fof(f523,plain,
( sQ17_spl
| ~ sQ16_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f237,f232]) ).
fof(f524,plain,
( sQ14_spl
| ~ sQ13_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f226,f221]) ).
fof(f525,plain,
( sQ11_spl
| ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f215,f210]) ).
fof(f526,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f174,f165]) ).
fof(f527,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f526]) ).
fof(f528,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f193,f171]) ).
fof(f529,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f528]) ).
fof(f530,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| and(X0,X1) = not(implies(X0,not(X1))) ),
inference(forward_demodulation,[status(thm)],[f486,f472]) ).
fof(f531,plain,
( sQ77_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f502]) ).
fof(f532,plain,
( sQ74_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f503]) ).
fof(f533,plain,
( sQ71_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f504]) ).
fof(f534,plain,
( sQ66_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f507]) ).
fof(f535,plain,
( sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f508]) ).
fof(f536,plain,
( sQ60_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f509]) ).
fof(f537,plain,
( sQ35_spl
| ~ sQ34_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f303,f298]) ).
fof(f538,plain,
( sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f512]) ).
fof(f539,plain,
( sQ20_spl
| ~ sQ19_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f248,f243]) ).
fof(f540,plain,
( sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f515]) ).
fof(f541,plain,
( sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f516]) ).
fof(f542,plain,
( sQ44_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f517]) ).
fof(f543,plain,
( sQ41_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f518]) ).
fof(f544,plain,
( sQ38_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f519]) ).
fof(f545,plain,
( sQ32_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f520]) ).
fof(f546,plain,
( sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f547,plain,
( sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f522]) ).
fof(f548,plain,
( sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f523]) ).
fof(f549,plain,
( sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f524]) ).
fof(f550,plain,
( sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f525]) ).
fof(f551,plain,
( sQ23_spl
| ~ sQ22_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f259,f254]) ).
fof(f552,plain,
( sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f452,f170]) ).
fof(f553,plain,
sQ75_spl,
inference(contradiction_clause,[status(thm)],[f552]) ).
fof(f554,plain,
( sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f441,f169]) ).
fof(f555,plain,
sQ72_spl,
inference(contradiction_clause,[status(thm)],[f554]) ).
fof(f556,plain,
( sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f168]) ).
fof(f557,plain,
sQ69_spl,
inference(contradiction_clause,[status(thm)],[f556]) ).
fof(f558,plain,
( sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f411,f166]) ).
fof(f559,plain,
sQ64_spl,
inference(contradiction_clause,[status(thm)],[f558]) ).
fof(f560,plain,
( sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f537]) ).
fof(f561,plain,
( sQ20_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f539]) ).
fof(f562,plain,
( sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f563,plain,
( sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f167]) ).
fof(f564,plain,
sQ67_spl,
inference(contradiction_clause,[status(thm)],[f563]) ).
fof(f565,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| and(X0,implies(X1,not(X2))) = not(implies(X0,and(X1,X2))) ),
inference(paramodulation,[status(thm)],[f530,f530]) ).
fof(f566,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2) ),
inference(paramodulation,[status(thm)],[f530,f486]) ).
fof(f567,plain,
( sQ11_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ is_a_theorem(or(and(not(sK5_skl),sK4_skl),implies(sK4_skl,sK5_skl))) ),
inference(backward_demodulation,[status(thm)],[f566,f215]) ).
fof(f568,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X2,X0),or(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f454,f176]) ).
fof(f569,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))) ),
inference(paramodulation,[status(thm)],[f486,f454]) ).
fof(f571,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))) ),
inference(forward_demodulation,[status(thm)],[f486,f569]) ).
fof(f573,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(X1,or(X0,X2)))
| ~ is_a_theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f443,f176]) ).
fof(f574,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))) ),
inference(paramodulation,[status(thm)],[f486,f443]) ).
fof(f575,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),or(not(X1),or(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f486,f443]) ).
fof(f578,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))) ),
inference(forward_demodulation,[status(thm)],[f486,f574]) ).
fof(f579,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))) ),
inference(forward_demodulation,[status(thm)],[f486,f575]) ).
fof(f582,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f432,f176]) ).
fof(f583,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,X1),or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f486,f432]) ).
fof(f584,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,not(X1)),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f486,f432]) ).
fof(f585,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ65_spl
| is_a_theorem(X0)
| ~ is_a_theorem(or(X0,X0)) ),
inference(resolution,[status(thm)],[f413,f176]) ).
fof(f586,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| is_a_theorem(implies(implies(X0,not(X0)),not(X0))) ),
inference(paramodulation,[status(thm)],[f486,f413]) ).
fof(f587,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,X0),not(X0))) ),
inference(forward_demodulation,[status(thm)],[f566,f586]) ).
fof(f588,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f298,f176]) ).
fof(f589,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f486,f298]) ).
fof(f590,plain,
( ~ sQ85_spl
| ~ sQ34_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f589,f220,f297,f485]) ).
fof(f591,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f221,f176]) ).
fof(f592,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(X0),X1) = not(implies(implies(not(X0),X1),and(X1,X0))) ),
inference(paramodulation,[status(thm)],[f493,f565]) ).
fof(f596,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| implies(or(and(X0,X1),not(X2)),X3) = or(and(implies(X0,not(X1)),X2),X3) ),
inference(paramodulation,[status(thm)],[f566,f566]) ).
fof(f598,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(and(X0,X1),implies(or(X2,X0),or(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f566,f454]) ).
fof(f599,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(X2,implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f566,f221]) ).
fof(f600,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(or(and(X0,X1),or(X2,implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f566,f298]) ).
fof(f601,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| and(X0,or(and(X1,X2),not(X3))) = not(implies(X0,and(implies(X1,not(X2)),X3))) ),
inference(paramodulation,[status(thm)],[f566,f565]) ).
fof(f602,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| and(implies(X0,not(X1)),X2) = not(or(and(X0,X1),not(X2))) ),
inference(paramodulation,[status(thm)],[f566,f530]) ).
fof(f603,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(and(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f566,f221]) ).
fof(f604,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(and(X0,X1),X2),implies(or(X3,implies(X0,not(X1))),or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f566,f454]) ).
fof(f605,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X2)
| ~ is_a_theorem(or(and(X0,X1),X2))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f566,f176]) ).
fof(f606,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,not(X2))) = and(implies(X0,implies(X1,not(X2))),or(and(X1,X2),X0)) ),
inference(paramodulation,[status(thm)],[f566,f493]) ).
fof(f607,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(X0,not(X1)),X2) = and(or(and(X0,X1),X2),implies(X2,implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f566,f493]) ).
fof(f609,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| is_a_theorem(not(X0))
| ~ is_a_theorem(implies(X0,not(X0))) ),
inference(paramodulation,[status(thm)],[f486,f585]) ).
fof(f610,plain,
! [X0,X1,X2,X3] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,or(X1,or(X2,X3))),or(X0,or(X2,or(X1,X3))))) ),
inference(resolution,[status(thm)],[f568,f443]) ).
fof(f611,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f568,f432]) ).
fof(f612,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,or(X1,X1)),or(X0,X1))) ),
inference(resolution,[status(thm)],[f568,f413]) ).
fof(f613,plain,
! [X0,X1,X2,X3] :
( ~ sQ76_spl
| ~ sQ1_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),or(X0,implies(or(X3,X1),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f568,f454]) ).
fof(f614,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f568,f221]) ).
fof(f615,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,X1),or(X0,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f568,f298]) ).
fof(f616,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X3,implies(X0,not(X1))),or(X3,X2)))
| ~ is_a_theorem(or(and(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f566,f568]) ).
fof(f617,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),or(X0,implies(implies(X3,X1),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f571,f568]) ).
fof(f618,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f571,f176]) ).
fof(f619,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(and(X0,X1),implies(implies(X2,X0),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f566,f571]) ).
fof(f620,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(and(X0,X1),X2),implies(implies(X3,implies(X0,not(X1))),implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f566,f571]) ).
fof(f621,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(not(X0),X1),or(and(X2,X0),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f566,f571]) ).
fof(f626,plain,
! [X0,X1,X2,X3] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))) ),
inference(resolution,[status(thm)],[f588,f443]) ).
fof(f627,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(or(X1,X2),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f588,f432]) ).
fof(f628,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(or(X1,X1),X1))) ),
inference(resolution,[status(thm)],[f588,f413]) ).
fof(f629,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f588,f571]) ).
fof(f630,plain,
! [X0,X1,X2,X3] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f588,f454]) ).
fof(f631,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f588,f221]) ).
fof(f632,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f588,f298]) ).
fof(f633,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(X1,or(not(X0),X2)))
| ~ is_a_theorem(implies(X0,or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f486,f573]) ).
fof(f634,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(not(X1),or(X0,X2)))
| ~ is_a_theorem(or(X0,implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f486,f573]) ).
fof(f635,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,or(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f486,f633]) ).
fof(f636,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(X1,or(X0,X2)))
| ~ is_a_theorem(or(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f486,f634]) ).
fof(f637,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,or(X2,X3))),or(X0,or(X2,implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f578,f568]) ).
fof(f639,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f578,f588]) ).
fof(f641,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f486,f578]) ).
fof(f645,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))) ),
inference(forward_demodulation,[status(thm)],[f486,f641]) ).
fof(f648,plain,
! [X0,X1,X2,X3] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))) ),
inference(resolution,[status(thm)],[f591,f443]) ).
fof(f649,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f591,f432]) ).
fof(f650,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(or(X1,X1),X1))) ),
inference(resolution,[status(thm)],[f591,f413]) ).
fof(f651,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f591,f578]) ).
fof(f652,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f591,f571]) ).
fof(f653,plain,
! [X0,X1,X2,X3] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f591,f454]) ).
fof(f654,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f591,f221]) ).
fof(f655,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f591,f298]) ).
fof(f656,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,or(X1,implies(X2,X3))),or(X0,implies(X2,or(X1,X3))))) ),
inference(resolution,[status(thm)],[f579,f568]) ).
fof(f658,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3))))) ),
inference(resolution,[status(thm)],[f579,f591]) ).
fof(f659,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3))))) ),
inference(resolution,[status(thm)],[f579,f588]) ).
fof(f668,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(X1,not(X0)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f486,f582]) ).
fof(f669,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(not(X0),and(X0,X0))) ),
inference(resolution,[status(thm)],[f587,f582]) ).
fof(f670,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,or(and(X1,X1),not(X1)))) ),
inference(resolution,[status(thm)],[f587,f591]) ).
fof(f671,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,or(and(X1,X1),not(X1)))) ),
inference(resolution,[status(thm)],[f587,f588]) ).
fof(f672,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(equiv(X0,X0),not(implies(X0,X0)))) ),
inference(paramodulation,[status(thm)],[f493,f587]) ).
fof(f675,plain,
( sQ50_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f358,f676]) ).
fof(f676,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,and(X0,X0))) ),
inference(forward_demodulation,[status(thm)],[f486,f669]) ).
fof(f682,plain,
( sQ50_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f675]) ).
fof(f683,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),or(X0,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f583,f568]) ).
fof(f685,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f583,f591]) ).
fof(f686,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f583,f588]) ).
fof(f687,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(and(X0,X1),or(not(X1),not(X0)))) ),
inference(paramodulation,[status(thm)],[f566,f583]) ).
fof(f689,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f486,f583]) ).
fof(f691,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(and(X0,X1),implies(X1,not(X0)))) ),
inference(forward_demodulation,[status(thm)],[f486,f687]) ).
fof(f695,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(or(X0,X1),or(X0,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f676,f568]) ).
fof(f696,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(and(X0,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f676,f176]) ).
fof(f697,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f676,f591]) ).
fof(f698,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f676,f588]) ).
fof(f699,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(and(X0,X1),and(implies(X0,not(X1)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f566,f676]) ).
fof(f700,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f493,f676]) ).
fof(f702,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(and(X0,X1),not(implies(implies(X0,not(X1)),and(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f565,f699]) ).
fof(f703,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(and(X0,X1),not(or(and(X0,X1),and(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f566,f702]) ).
fof(f706,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,or(X1,not(X2))),or(X0,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f584,f568]) ).
fof(f707,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(or(X0,not(X1))) ),
inference(resolution,[status(thm)],[f584,f176]) ).
fof(f708,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f584,f591]) ).
fof(f709,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f584,f588]) ).
fof(f710,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f486,f584]) ).
fof(f716,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(X0),not(X1)) = not(or(and(not(X0),X1),and(not(X1),X0))) ),
inference(paramodulation,[status(thm)],[f566,f592]) ).
fof(f719,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(X0,X1)),implies(X1,X0)) = not(implies(implies(not(implies(X0,X1)),implies(X1,X0)),equiv(X1,X0))) ),
inference(paramodulation,[status(thm)],[f493,f592]) ).
fof(f726,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(X0,implies(implies(not(X1),X2),and(X2,X1))) = not(implies(X0,equiv(not(X1),X2))) ),
inference(paramodulation,[status(thm)],[f592,f530]) ).
fof(f727,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| implies(implies(implies(not(X0),X1),and(X1,X0)),X2) = or(equiv(not(X0),X1),X2) ),
inference(paramodulation,[status(thm)],[f592,f486]) ).
fof(f742,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(and(or(and(X0,X0),not(X0)),or(and(X0,X0),not(X0)))) ),
inference(resolution,[status(thm)],[f696,f587]) ).
fof(f743,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(or(X0,not(X1)),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f696,f584]) ).
fof(f744,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(and(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2))),implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2))))) ),
inference(resolution,[status(thm)],[f696,f579]) ).
fof(f745,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(and(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))),implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))) ),
inference(resolution,[status(thm)],[f696,f443]) ).
fof(f746,plain,
! [X0,X1] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(and(implies(or(X0,X1),or(X1,X0)),implies(or(X0,X1),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f696,f432]) ).
fof(f747,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ81_spl
| is_a_theorem(and(implies(or(X0,X0),X0),implies(or(X0,X0),X0))) ),
inference(resolution,[status(thm)],[f696,f413]) ).
fof(f748,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(and(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2))),implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f696,f578]) ).
fof(f749,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ81_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)],[f696,f583]) ).
fof(f750,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))),implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f696,f571]) ).
fof(f751,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))),implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))) ),
inference(resolution,[status(thm)],[f696,f454]) ).
fof(f752,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X0,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f696,f676]) ).
fof(f753,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X0,implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f696,f221]) ).
fof(f754,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X0,or(X1,X0)))) ),
inference(resolution,[status(thm)],[f696,f298]) ).
fof(f755,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| implies(or(and(X0,X1),not(implies(not(X1),X0))),X2) = or(equiv(X0,not(X1)),X2) ),
inference(paramodulation,[status(thm)],[f493,f596]) ).
fof(f761,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(or(and(X0,X1),not(X2)),not(X3)),implies(X3,and(implies(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f596,f584]) ).
fof(f762,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(or(and(X1,X2),not(X3)),not(X0)))) ),
inference(paramodulation,[status(thm)],[f596,f583]) ).
fof(f768,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(X3,and(implies(X0,not(X1)),X2)))
| ~ is_a_theorem(implies(or(and(X0,X1),not(X2)),X3)) ),
inference(paramodulation,[status(thm)],[f596,f582]) ).
fof(f772,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| is_a_theorem(and(implies(X0,not(X1)),X2))
| ~ is_a_theorem(implies(or(and(X0,X1),not(X2)),and(implies(X0,not(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f596,f585]) ).
fof(f773,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(or(and(X1,X2),not(X3)),X0))) ),
inference(paramodulation,[status(thm)],[f596,f298]) ).
fof(f774,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| is_a_theorem(implies(implies(or(and(X0,X1),not(X2)),and(implies(X0,not(X1)),X2)),and(implies(X0,not(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f596,f413]) ).
fof(f775,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,and(implies(X1,not(X2)),X3)),implies(or(and(X1,X2),not(X3)),X0))) ),
inference(paramodulation,[status(thm)],[f596,f432]) ).
fof(f776,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(or(and(X0,X1),not(X2)),X3),or(X3,and(implies(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f596,f432]) ).
fof(f790,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(and(or(and(X0,X1),not(X2)),X3),implies(X3,and(implies(X0,not(X1)),X2)))) ),
inference(forward_demodulation,[status(thm)],[f566,f761]) ).
fof(f803,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(implies(or(X0,X1),or(X0,not(X2))),and(X1,X2))) ),
inference(resolution,[status(thm)],[f598,f582]) ).
fof(f804,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(and(or(and(X0,X1),implies(or(X2,X0),or(X2,not(X1)))),or(and(X0,X1),implies(or(X2,X0),or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f598,f696]) ).
fof(f805,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,or(and(X1,X2),implies(or(X3,X1),or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f598,f591]) ).
fof(f806,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(and(X1,X2),implies(or(X3,X1),or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f598,f588]) ).
fof(f808,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(X0,X1),implies(or(X2,implies(X0,X1)),or(X2,not(implies(X1,X0)))))) ),
inference(paramodulation,[status(thm)],[f493,f598]) ).
fof(f826,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(or(X0,X0),X0),X1)) ),
inference(resolution,[status(thm)],[f628,f582]) ).
fof(f828,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,implies(or(X1,X1),X1)),or(X0,implies(or(X1,X1),X1)))) ),
inference(resolution,[status(thm)],[f628,f696]) ).
fof(f829,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(or(X2,X2),X2)))) ),
inference(resolution,[status(thm)],[f628,f591]) ).
fof(f830,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,or(X1,implies(or(X2,X2),X2)))) ),
inference(resolution,[status(thm)],[f628,f588]) ).
fof(f831,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(or(X3,X3),X3))) ),
inference(paramodulation,[status(thm)],[f596,f628]) ).
fof(f832,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(or(X1,X1),X1))) ),
inference(paramodulation,[status(thm)],[f486,f628]) ).
fof(f833,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(or(and(X1,X2),not(X3)),and(implies(X1,not(X2)),X3)),and(implies(X1,not(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f596,f628]) ).
fof(f834,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,not(X1)),not(X1)))) ),
inference(paramodulation,[status(thm)],[f486,f628]) ).
fof(f836,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(X1,not(X2))),and(X1,X2))) ),
inference(resolution,[status(thm)],[f599,f582]) ).
fof(f837,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| is_a_theorem(and(or(and(X0,X1),implies(X2,implies(X0,not(X1)))),or(and(X0,X1),implies(X2,implies(X0,not(X1)))))) ),
inference(resolution,[status(thm)],[f599,f696]) ).
fof(f838,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| is_a_theorem(implies(X0,or(and(X1,X2),implies(X3,implies(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f599,f591]) ).
fof(f839,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(and(X1,X2),implies(X3,implies(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f599,f588]) ).
fof(f841,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(X0,X1),implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))) ),
inference(paramodulation,[status(thm)],[f493,f599]) ).
fof(f843,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),or(and(X2,X3),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f566,f599]) ).
fof(f855,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(and(X1,X2),implies(X1,not(X2))))) ),
inference(resolution,[status(thm)],[f600,f573]) ).
fof(f856,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(X1,not(X2))),and(X1,X2))) ),
inference(resolution,[status(thm)],[f600,f582]) ).
fof(f857,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(and(or(and(X0,X1),or(X2,implies(X0,not(X1)))),or(and(X0,X1),or(X2,implies(X0,not(X1)))))) ),
inference(resolution,[status(thm)],[f600,f696]) ).
fof(f858,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(and(X1,X2),or(X3,implies(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f600,f591]) ).
fof(f859,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| is_a_theorem(or(X0,or(and(X1,X2),or(X3,implies(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f600,f588]) ).
fof(f861,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(or(equiv(X0,X1),or(X2,implies(implies(X0,X1),not(implies(X1,X0)))))) ),
inference(paramodulation,[status(thm)],[f493,f600]) ).
fof(f863,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(or(and(X0,X1),implies(or(and(X2,X3),not(X4)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f596,f600]) ).
fof(f864,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(or(and(X0,X1),implies(X2,implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f600]) ).
fof(f876,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f631,f582]) ).
fof(f878,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,implies(X1,implies(X2,X1))),or(X0,implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f631,f696]) ).
fof(f879,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f631,f591]) ).
fof(f880,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f631,f588]) ).
fof(f886,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| and(implies(X0,not(X1)),or(and(X2,X3),not(X4))) = not(or(and(X0,X1),and(implies(X2,not(X3)),X4))) ),
inference(paramodulation,[status(thm)],[f566,f601]) ).
fof(f887,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(X0,or(and(X1,X2),not(implies(not(X2),X1)))) = not(implies(X0,equiv(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f493,f601]) ).
fof(f899,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,and(X1,or(and(X2,X3),not(X4)))),implies(implies(X1,and(implies(X2,not(X3)),X4)),X0))) ),
inference(paramodulation,[status(thm)],[f601,f584]) ).
fof(f900,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(implies(X0,and(implies(X1,not(X2)),X3)),X4),or(X4,and(X0,or(and(X1,X2),not(X3)))))) ),
inference(paramodulation,[status(thm)],[f601,f583]) ).
fof(f901,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| is_a_theorem(or(and(implies(X0,and(implies(X1,not(X2)),X3)),implies(X0,and(implies(X1,not(X2)),X3))),and(X0,or(and(X1,X2),not(X3))))) ),
inference(paramodulation,[status(thm)],[f601,f587]) ).
fof(f902,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),X5) = or(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5) ),
inference(paramodulation,[status(thm)],[f601,f566]) ).
fof(f903,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))) = not(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))) ),
inference(paramodulation,[status(thm)],[f601,f565]) ).
fof(f904,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| and(X0,implies(X1,and(implies(X2,not(X3)),X4))) = not(implies(X0,and(X1,or(and(X2,X3),not(X4))))) ),
inference(paramodulation,[status(thm)],[f601,f530]) ).
fof(f905,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| implies(implies(X0,and(implies(X1,not(X2)),X3)),X4) = or(and(X0,or(and(X1,X2),not(X3))),X4) ),
inference(paramodulation,[status(thm)],[f601,f486]) ).
fof(f914,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| is_a_theorem(implies(implies(implies(X0,and(implies(X1,not(X2)),X3)),and(X0,or(and(X1,X2),not(X3)))),and(X0,or(and(X1,X2),not(X3))))) ),
inference(backward_demodulation,[status(thm)],[f902,f901]) ).
fof(f922,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(implies(X0,X1),not(implies(X1,X0))),X2) = not(or(equiv(X0,X1),not(X2))) ),
inference(paramodulation,[status(thm)],[f493,f602]) ).
fof(f926,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| and(implies(X0,not(X1)),implies(X2,and(implies(X3,not(X4)),X5))) = not(or(and(X0,X1),and(X2,or(and(X3,X4),not(X5))))) ),
inference(paramodulation,[status(thm)],[f601,f602]) ).
fof(f954,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f632,f582]) ).
fof(f956,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,implies(X1,or(X2,X1))),or(X0,implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f632,f696]) ).
fof(f957,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f632,f591]) ).
fof(f958,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f632,f588]) ).
fof(f959,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(X3,or(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f596,f632]) ).
fof(f960,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f632]) ).
fof(f962,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(or(and(X2,X3),not(X4)),X1)))) ),
inference(paramodulation,[status(thm)],[f596,f632]) ).
fof(f963,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f632]) ).
fof(f964,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ81_spl
| ~ sQ85_spl
| is_a_theorem(implies(or(X0,or(and(X1,X2),X3)),or(X0,implies(or(X4,implies(X1,not(X2))),or(X4,X3))))) ),
inference(resolution,[status(thm)],[f604,f568]) ).
fof(f966,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(and(implies(or(and(X0,X1),X2),implies(or(X3,implies(X0,not(X1))),or(X3,X2))),implies(or(and(X0,X1),X2),implies(or(X3,implies(X0,not(X1))),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f604,f696]) ).
fof(f967,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(or(and(X1,X2),X3),implies(or(X4,implies(X1,not(X2))),or(X4,X3))))) ),
inference(resolution,[status(thm)],[f604,f591]) ).
fof(f968,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,implies(or(and(X1,X2),X3),implies(or(X4,implies(X1,not(X2))),or(X4,X3))))) ),
inference(resolution,[status(thm)],[f604,f588]) ).
fof(f970,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(X0,X1),X2),implies(or(X3,implies(implies(X0,X1),not(implies(X1,X0)))),or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f493,f604]) ).
fof(f1003,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X2)
| ~ is_a_theorem(or(equiv(X0,X1),X2))
| ~ is_a_theorem(implies(implies(X0,X1),not(implies(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f493,f605]) ).
fof(f1005,definition,
! [X0,X1] :
( sQ88_spl
<=> ~ is_a_theorem(implies(X0,not(X1))) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1006,plain,
! [X0,X1] :
( ~ sQ88_spl
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1014,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(X2,X2),X2)))) ),
inference(resolution,[status(thm)],[f650,f568]) ).
fof(f1016,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(or(X1,X1),X1)),implies(X0,implies(or(X1,X1),X1)))) ),
inference(resolution,[status(thm)],[f650,f696]) ).
fof(f1017,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| is_a_theorem(implies(X0,implies(X1,implies(or(X2,X2),X2)))) ),
inference(resolution,[status(thm)],[f650,f591]) ).
fof(f1018,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(or(X2,X2),X2)))) ),
inference(resolution,[status(thm)],[f650,f588]) ).
fof(f1019,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(or(X2,X2),X2))) ),
inference(paramodulation,[status(thm)],[f566,f650]) ).
fof(f1020,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(or(and(X1,X2),not(X3)),and(implies(X1,not(X2)),X3)),and(implies(X1,not(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f596,f650]) ).
fof(f1021,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(X1,not(X1)),not(X1)))) ),
inference(paramodulation,[status(thm)],[f486,f650]) ).
fof(f1022,definition,
! [X0] :
( sQ89_spl
<=> ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ89_spl
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f1022]) ).
fof(f1027,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(X0,not(X1)),implies(X2,not(X3))) = and(or(and(X0,X1),implies(X2,not(X3))),or(and(X2,X3),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f566,f606]) ).
fof(f1034,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))) = and(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(equiv(X1,implies(X2,not(X3))),X0)) ),
inference(paramodulation,[status(thm)],[f606,f606]) ).
fof(f1035,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))) = and(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(equiv(X1,X2),X0)) ),
inference(paramodulation,[status(thm)],[f493,f606]) ).
fof(f1037,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X3)
| ~ is_a_theorem(or(equiv(X0,implies(X1,not(X2))),X3))
| ~ is_a_theorem(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))) ),
inference(paramodulation,[status(thm)],[f606,f605]) ).
fof(f1038,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(X0,implies(X1,not(X2))),X3),implies(or(X4,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))),or(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f606,f604]) ).
fof(f1039,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3) = not(or(equiv(X0,implies(X1,not(X2))),not(X3))) ),
inference(paramodulation,[status(thm)],[f606,f602]) ).
fof(f1040,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ34_spl
| is_a_theorem(or(equiv(X0,implies(X1,not(X2))),or(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))) ),
inference(paramodulation,[status(thm)],[f606,f600]) ).
fof(f1041,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(X0,implies(X1,not(X2))),implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))) ),
inference(paramodulation,[status(thm)],[f606,f599]) ).
fof(f1042,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(X0,implies(X1,not(X2))),implies(or(X3,implies(X0,implies(X1,not(X2)))),or(X3,not(or(and(X1,X2),X0)))))) ),
inference(paramodulation,[status(thm)],[f606,f598]) ).
fof(f1043,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))) = not(implies(implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),equiv(X2,implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f606,f592]) ).
fof(f1062,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3) = and(or(equiv(implies(X0,not(X1)),X2),X3),implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f607,f607]) ).
fof(f1063,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3) = and(or(equiv(X0,implies(X1,not(X2))),X3),implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))) ),
inference(paramodulation,[status(thm)],[f606,f607]) ).
fof(f1064,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2) = and(or(equiv(X0,X1),X2),implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f493,f607]) ).
fof(f1072,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))) = and(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(equiv(implies(X1,not(X2)),X3),X0)) ),
inference(paramodulation,[status(thm)],[f607,f606]) ).
fof(f1073,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X3)
| ~ is_a_theorem(or(equiv(implies(X0,not(X1)),X2),X3))
| ~ is_a_theorem(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f607,f605]) ).
fof(f1074,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(implies(X0,not(X1)),X2),X3),implies(or(X4,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))),or(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f607,f604]) ).
fof(f1075,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3) = not(or(equiv(implies(X0,not(X1)),X2),not(X3))) ),
inference(paramodulation,[status(thm)],[f607,f602]) ).
fof(f1076,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ34_spl
| is_a_theorem(or(equiv(implies(X0,not(X1)),X2),or(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f607,f600]) ).
fof(f1077,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(implies(X0,not(X1)),X2),implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f607,f599]) ).
fof(f1078,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(implies(X0,not(X1)),X2),implies(or(X3,or(and(X0,X1),X2)),or(X3,not(implies(X2,implies(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f607,f598]) ).
fof(f1079,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)) = not(implies(implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),equiv(implies(X1,not(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f607,f592]) ).
fof(f1097,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f654,f568]) ).
fof(f1099,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(X1,implies(X2,X1))),implies(X0,implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f654,f696]) ).
fof(f1100,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f654,f591]) ).
fof(f1101,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f654,f588]) ).
fof(f1102,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(and(X0,X1),implies(X2,implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f566,f654]) ).
fof(f1104,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(and(X2,X3),X1)))) ),
inference(paramodulation,[status(thm)],[f566,f654]) ).
fof(f1109,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| is_a_theorem(not(implies(X0,and(implies(X1,not(X2)),X3))))
| ~ is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),and(X0,or(and(X1,X2),not(X3))))) ),
inference(paramodulation,[status(thm)],[f601,f609]) ).
fof(f1116,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| is_a_theorem(and(X0,or(and(X1,X2),not(X3))))
| ~ is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),and(X0,or(and(X1,X2),not(X3))))) ),
inference(forward_demodulation,[status(thm)],[f601,f1109]) ).
fof(f1119,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,or(X1,or(X2,or(X3,X4)))),or(X0,or(X1,or(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f610,f568]) ).
fof(f1120,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(X2,or(X1,X3))))
| ~ is_a_theorem(or(X0,or(X1,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f610,f176]) ).
fof(f1121,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(and(implies(or(X0,or(X1,or(X2,X3))),or(X0,or(X2,or(X1,X3)))),implies(or(X0,or(X1,or(X2,X3))),or(X0,or(X2,or(X1,X3)))))) ),
inference(resolution,[status(thm)],[f610,f696]) ).
fof(f1122,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(or(X1,or(X2,or(X3,X4))),or(X1,or(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f610,f591]) ).
fof(f1123,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,implies(or(X1,or(X2,or(X3,X4))),or(X1,or(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f610,f588]) ).
fof(f1125,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,or(X1,or(X2,X3))),or(not(X0),or(X2,or(X1,X3))))) ),
inference(paramodulation,[status(thm)],[f486,f610]) ).
fof(f1137,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,or(X1,or(X2,X3))),implies(X0,or(X2,or(X1,X3))))) ),
inference(forward_demodulation,[status(thm)],[f486,f1125]) ).
fof(f1150,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(X1,or(X2,X1))),implies(X0,implies(X1,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f655,f696]) ).
fof(f1151,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f655,f591]) ).
fof(f1152,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f655,f588]) ).
fof(f1158,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,or(X1,or(X2,X3))),or(X0,or(X1,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f611,f568]) ).
fof(f1159,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(X2,X1)))
| ~ is_a_theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f611,f176]) ).
fof(f1160,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(and(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1))),implies(or(X0,or(X1,X2)),or(X0,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f611,f696]) ).
fof(f1161,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(or(X1,or(X2,X3)),or(X1,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f611,f591]) ).
fof(f1162,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,implies(or(X1,or(X2,X3)),or(X1,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f611,f588]) ).
fof(f1164,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(not(X0),or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f611]) ).
fof(f1165,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),not(X3)),X4)),or(X0,or(X4,and(implies(X1,not(X2)),X3))))) ),
inference(paramodulation,[status(thm)],[f596,f611]) ).
fof(f1169,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,or(X1,and(implies(X2,not(X3)),X4))),or(X0,implies(or(and(X2,X3),not(X4)),X1)))) ),
inference(paramodulation,[status(thm)],[f596,f611]) ).
fof(f1172,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(X0,or(X2,X1)))) ),
inference(forward_demodulation,[status(thm)],[f486,f1164]) ).
fof(f1175,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ65_spl
| is_a_theorem(implies(or(X0,or(X1,or(X2,X2))),or(X0,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f612,f568]) ).
fof(f1176,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(or(X0,or(X1,X1))) ),
inference(resolution,[status(thm)],[f612,f176]) ).
fof(f1177,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(and(implies(or(X0,or(X1,X1)),or(X0,X1)),implies(or(X0,or(X1,X1)),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f612,f696]) ).
fof(f1178,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(or(X1,or(X2,X2)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f612,f591]) ).
fof(f1179,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,implies(or(X1,or(X2,X2)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f612,f588]) ).
fof(f1181,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,or(X1,X1)),or(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f486,f612]) ).
fof(f1182,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),not(X3)),and(implies(X1,not(X2)),X3))),or(X0,and(implies(X1,not(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f596,f612]) ).
fof(f1183,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X1))),or(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f486,f612]) ).
fof(f1187,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f486,f1181]) ).
fof(f1190,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f697,f568]) ).
fof(f1191,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X1,and(X1,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f697,f176]) ).
fof(f1192,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X1,X1))),implies(X0,implies(X1,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f697,f696]) ).
fof(f1193,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f697,f591]) ).
fof(f1194,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f697,f588]) ).
fof(f1195,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(and(X0,X1),implies(X2,and(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f566,f697]) ).
fof(f1196,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(X0,or(and(X1,X2),and(implies(X1,not(X2)),implies(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f566,f697]) ).
fof(f1197,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,implies(implies(X1,X1),equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f493,f697]) ).
fof(f1199,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| sQ49_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1191,f1022,f352,f471,f412,f485,f431,f220,f175]) ).
fof(f1200,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(X0,or(and(X1,X2),not(implies(implies(X1,not(X2)),and(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f565,f1196]) ).
fof(f1201,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(X0,or(and(X1,X2),not(or(and(X1,X2),and(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f566,f1200]) ).
fof(f1204,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,or(X1,implies(X2,X3))),or(X0,or(X1,implies(or(X4,X2),or(X4,X3)))))) ),
inference(resolution,[status(thm)],[f613,f568]) ).
fof(f1205,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,implies(or(X3,X1),or(X3,X2))))
| ~ is_a_theorem(or(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f613,f176]) ).
fof(f1206,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(and(implies(or(X0,implies(X1,X2)),or(X0,implies(or(X3,X1),or(X3,X2)))),implies(or(X0,implies(X1,X2)),or(X0,implies(or(X3,X1),or(X3,X2)))))) ),
inference(resolution,[status(thm)],[f613,f696]) ).
fof(f1207,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(or(X1,implies(X2,X3)),or(X1,implies(or(X4,X2),or(X4,X3)))))) ),
inference(resolution,[status(thm)],[f613,f591]) ).
fof(f1208,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,implies(or(X1,implies(X2,X3)),or(X1,implies(or(X4,X2),or(X4,X3)))))) ),
inference(resolution,[status(thm)],[f613,f588]) ).
fof(f1210,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),or(not(X0),implies(or(X3,X1),or(X3,X2))))) ),
inference(paramodulation,[status(thm)],[f486,f613]) ).
fof(f1219,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,implies(or(X3,X1),or(X3,X2))))) ),
inference(forward_demodulation,[status(thm)],[f486,f1210]) ).
fof(f1226,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),or(X0,or(X1,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f614,f568]) ).
fof(f1227,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,implies(X2,X1)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f614,f176]) ).
fof(f1228,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ76_spl
| is_a_theorem(and(implies(or(X0,X1),or(X0,implies(X2,X1))),implies(or(X0,X1),or(X0,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f614,f696]) ).
fof(f1229,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),or(X1,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f614,f591]) ).
fof(f1230,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,implies(or(X1,X2),or(X1,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f614,f588]) ).
fof(f1232,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,X1),or(not(X0),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f614]) ).
fof(f1235,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,X1),or(X0,or(and(X2,X3),X1)))) ),
inference(paramodulation,[status(thm)],[f566,f614]) ).
fof(f1237,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))) ),
inference(forward_demodulation,[status(thm)],[f486,f1232]) ).
fof(f1240,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(X2,and(X2,X2)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f698,f605]) ).
fof(f1241,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(implies(X0,and(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f698,f582]) ).
fof(f1243,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,implies(X1,and(X1,X1))),or(X0,implies(X1,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f698,f696]) ).
fof(f1244,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f698,f591]) ).
fof(f1245,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,or(X1,implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f698,f588]) ).
fof(f1246,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(X3,and(X3,X3)))) ),
inference(paramodulation,[status(thm)],[f596,f698]) ).
fof(f1247,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,implies(X1,and(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f698]) ).
fof(f1248,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,or(and(X1,X2),and(implies(X1,not(X2)),implies(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f566,f698]) ).
fof(f1249,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,implies(implies(X1,X1),equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f493,f698]) ).
fof(f1251,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| sQ49_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1240,f1005,f352,f412,f431,f297,f175,f485,f471]) ).
fof(f1252,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,or(and(X1,X2),not(implies(implies(X1,not(X2)),and(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f565,f1248]) ).
fof(f1253,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,or(and(X1,X2),not(or(and(X1,X2),and(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f566,f1252]) ).
fof(f1256,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),or(X0,or(X1,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f615,f568]) ).
fof(f1257,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(X2,X1)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f615,f176]) ).
fof(f1258,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ76_spl
| is_a_theorem(and(implies(or(X0,X1),or(X0,or(X2,X1))),implies(or(X0,X1),or(X0,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f615,f696]) ).
fof(f1259,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),or(X1,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f615,f591]) ).
fof(f1260,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,implies(or(X1,X2),or(X1,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f615,f588]) ).
fof(f1262,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,X1),or(not(X0),or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f615]) ).
fof(f1265,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(and(X2,X3),not(X4)),X1)))) ),
inference(paramodulation,[status(thm)],[f596,f615]) ).
fof(f1266,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f615]) ).
fof(f1268,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,or(X2,X1)))) ),
inference(forward_demodulation,[status(thm)],[f486,f1262]) ).
fof(f1275,plain,
! [X0,X1,X2,X3] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(X3,X3),X3)))) ),
inference(resolution,[status(thm)],[f616,f628]) ).
fof(f1276,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X3,and(X3,X3))))) ),
inference(resolution,[status(thm)],[f616,f698]) ).
fof(f1277,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f616,f632]) ).
fof(f1280,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X4,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))),or(X4,X3)))
| ~ is_a_theorem(or(equiv(implies(X0,not(X1)),X2),X3)) ),
inference(paramodulation,[status(thm)],[f607,f616]) ).
fof(f1281,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X4,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))),or(X4,X3)))
| ~ is_a_theorem(or(equiv(X0,implies(X1,not(X2))),X3)) ),
inference(paramodulation,[status(thm)],[f606,f616]) ).
fof(f1282,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X3,implies(implies(X0,X1),not(implies(X1,X0)))),or(X3,X2)))
| ~ is_a_theorem(or(equiv(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f493,f616]) ).
fof(f1287,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(or(X0,implies(X1,X1)),or(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f700,f568]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(equiv(X0,X0))
| ~ is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f700,f176]) ).
fof(f1289,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_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)],[f700,f696]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(and(not(X0),X0),equiv(not(X0),not(X0)))) ),
inference(paramodulation,[status(thm)],[f566,f700]) ).
fof(f1293,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(or(and(X0,X1),implies(X0,not(X1))),equiv(implies(X0,not(X1)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f566,f700]) ).
fof(f1294,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| is_a_theorem(implies(or(X0,or(X1,implies(X2,X3))),or(X0,or(X1,implies(implies(X4,X2),implies(X4,X3)))))) ),
inference(resolution,[status(thm)],[f617,f568]) ).
fof(f1295,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| is_a_theorem(or(X0,implies(implies(X3,X1),implies(X3,X2))))
| ~ is_a_theorem(or(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f617,f176]) ).
fof(f1296,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(and(implies(or(X0,implies(X1,X2)),or(X0,implies(implies(X3,X1),implies(X3,X2)))),implies(or(X0,implies(X1,X2)),or(X0,implies(implies(X3,X1),implies(X3,X2)))))) ),
inference(resolution,[status(thm)],[f617,f696]) ).
fof(f1297,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ85_spl
| is_a_theorem(implies(X0,implies(or(X1,implies(X2,X3)),or(X1,implies(implies(X4,X2),implies(X4,X3)))))) ),
inference(resolution,[status(thm)],[f617,f591]) ).
fof(f1298,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ85_spl
| is_a_theorem(or(X0,implies(or(X1,implies(X2,X3)),or(X1,implies(implies(X4,X2),implies(X4,X3)))))) ),
inference(resolution,[status(thm)],[f617,f588]) ).
fof(f1300,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),or(not(X0),implies(implies(X3,X1),implies(X3,X2))))) ),
inference(paramodulation,[status(thm)],[f486,f617]) ).
fof(f1301,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,or(and(X1,X2),X3)),or(X0,implies(implies(X4,implies(X1,not(X2))),implies(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f566,f617]) ).
fof(f1304,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(not(X1),X2)),or(X0,or(and(X3,X1),implies(X3,X2))))) ),
inference(paramodulation,[status(thm)],[f566,f617]) ).
fof(f1308,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,implies(implies(X3,X1),implies(X3,X2))))) ),
inference(forward_demodulation,[status(thm)],[f486,f1300]) ).
fof(f1313,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,or(and(X1,X2),X3)),implies(X0,implies(or(X4,implies(X1,not(X2))),or(X4,X3))))) ),
inference(resolution,[status(thm)],[f618,f604]) ).
fof(f1314,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,or(X1,not(X2))),implies(X0,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f618,f584]) ).
fof(f1315,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| is_a_theorem(implies(implies(X0,or(X1,implies(X2,X3))),implies(X0,or(X1,implies(implies(X4,X2),implies(X4,X3)))))) ),
inference(resolution,[status(thm)],[f618,f617]) ).
fof(f1316,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ85_spl
| is_a_theorem(implies(implies(X0,or(X1,implies(X2,X3))),implies(X0,or(X1,implies(or(X4,X2),or(X4,X3)))))) ),
inference(resolution,[status(thm)],[f618,f613]) ).
fof(f1317,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,or(X1,implies(X2,X3))),implies(X0,implies(X2,or(X1,X3))))) ),
inference(resolution,[status(thm)],[f618,f579]) ).
fof(f1318,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| is_a_theorem(implies(implies(X0,or(X1,or(X2,or(X3,X4)))),implies(X0,or(X1,or(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f618,f610]) ).
fof(f1319,plain,
! [X0,X1,X2,X3] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| is_a_theorem(implies(implies(X0,or(X1,or(X2,X3))),implies(X0,or(X1,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f618,f611]) ).
fof(f1321,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| is_a_theorem(implies(implies(X0,or(X1,or(X2,X2))),implies(X0,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f618,f612]) ).
fof(f1322,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(X0,or(X1,or(X3,X2))))) ),
inference(resolution,[status(thm)],[f618,f615]) ).
fof(f1323,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(X0,or(X1,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f618,f614]) ).
fof(f1326,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,or(X2,X3))),implies(X0,or(X2,implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f618,f578]) ).
fof(f1327,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,X1)),implies(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f618,f700]) ).
fof(f1328,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f618,f583]) ).
fof(f1331,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f618,f676]) ).
fof(f1338,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X3,implies(X0,not(X1))),implies(X3,X2)))
| ~ is_a_theorem(or(and(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f566,f618]) ).
fof(f1339,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(implies(or(X1,X1),X1),X2))) ),
inference(resolution,[status(thm)],[f826,f573]) ).
fof(f1342,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(and(or(implies(or(X0,X0),X0),X1),or(implies(or(X0,X0),X0),X1))) ),
inference(resolution,[status(thm)],[f826,f696]) ).
fof(f1343,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(implies(or(X1,X1),X1),X2))) ),
inference(resolution,[status(thm)],[f826,f591]) ).
fof(f1344,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,or(implies(or(X1,X1),X1),X2))) ),
inference(resolution,[status(thm)],[f826,f588]) ).
fof(f1345,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(implies(or(and(X0,X1),not(X2)),and(implies(X0,not(X1)),X2)),and(implies(X0,not(X1)),X2)),X3)) ),
inference(paramodulation,[status(thm)],[f596,f826]) ).
fof(f1346,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(implies(X0,not(X0)),not(X0)),X1)) ),
inference(paramodulation,[status(thm)],[f486,f826]) ).
fof(f1347,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ81_spl
| is_a_theorem(or(or(and(X0,X0),not(X0)),X1)) ),
inference(forward_demodulation,[status(thm)],[f566,f1346]) ).
fof(f1350,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(X0,not(X2))),and(X1,X2))) ),
inference(resolution,[status(thm)],[f619,f582]) ).
fof(f1351,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(and(or(and(X0,X1),implies(implies(X2,X0),implies(X2,not(X1)))),or(and(X0,X1),implies(implies(X2,X0),implies(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f619,f696]) ).
fof(f1352,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,or(and(X1,X2),implies(implies(X3,X1),implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f619,f591]) ).
fof(f1353,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(and(X1,X2),implies(implies(X3,X1),implies(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f619,f588]) ).
fof(f1355,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(implies(X0,not(X1)),X2),implies(implies(X3,or(and(X0,X1),X2)),implies(X3,not(implies(X2,implies(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f607,f619]) ).
fof(f1356,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(X0,implies(X1,not(X2))),implies(implies(X3,implies(X0,implies(X1,not(X2)))),implies(X3,not(or(and(X1,X2),X0)))))) ),
inference(paramodulation,[status(thm)],[f606,f619]) ).
fof(f1357,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(X0,X1),implies(implies(X2,implies(X0,X1)),implies(X2,not(implies(X1,X0)))))) ),
inference(paramodulation,[status(thm)],[f493,f619]) ).
fof(f1359,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(and(not(X0),X1),or(and(X2,X0),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f566,f619]) ).
fof(f1376,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ81_spl
| is_a_theorem(implies(implies(X0,or(and(X1,X2),X3)),implies(X0,implies(implies(X4,implies(X1,not(X2))),implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f620,f618]) ).
fof(f1379,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(and(implies(or(and(X0,X1),X2),implies(implies(X3,implies(X0,not(X1))),implies(X3,X2))),implies(or(and(X0,X1),X2),implies(implies(X3,implies(X0,not(X1))),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f620,f696]) ).
fof(f1380,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(or(and(X1,X2),X3),implies(implies(X4,implies(X1,not(X2))),implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f620,f591]) ).
fof(f1381,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,implies(or(and(X1,X2),X3),implies(implies(X4,implies(X1,not(X2))),implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f620,f588]) ).
fof(f1383,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(implies(X0,not(X1)),X2),X3),implies(implies(X4,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))),implies(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f607,f620]) ).
fof(f1384,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(X0,implies(X1,not(X2))),X3),implies(implies(X4,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))),implies(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f606,f620]) ).
fof(f1385,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(X0,X1),X2),implies(implies(X3,implies(implies(X0,X1),not(implies(X1,X0)))),implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f493,f620]) ).
fof(f1406,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f876,f573]) ).
fof(f1409,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(and(or(implies(X0,implies(X1,X0)),X2),or(implies(X0,implies(X1,X0)),X2))) ),
inference(resolution,[status(thm)],[f876,f696]) ).
fof(f1410,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f876,f591]) ).
fof(f1411,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f876,f588]) ).
fof(f1412,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(or(and(X0,X1),implies(X2,implies(X0,not(X1)))),X3)) ),
inference(paramodulation,[status(thm)],[f566,f876]) ).
fof(f1414,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ81_spl
| is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,or(and(X3,X1),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f621,f618]) ).
fof(f1416,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(and(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[f621,f176]) ).
fof(f1417,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(and(implies(implies(not(X0),X1),or(and(X2,X0),implies(X2,X1))),implies(implies(not(X0),X1),or(and(X2,X0),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f621,f696]) ).
fof(f1418,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(implies(not(X1),X2),or(and(X3,X1),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f621,f591]) ).
fof(f1419,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,implies(implies(not(X1),X2),or(and(X3,X1),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f621,f588]) ).
fof(f1426,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(not(implies(X0,implies(X1,not(X2)))),X3),or(equiv(implies(X1,not(X2)),X0),implies(or(and(X1,X2),X0),X3)))) ),
inference(paramodulation,[status(thm)],[f607,f621]) ).
fof(f1427,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(not(or(and(X0,X1),X2)),X3),or(equiv(X2,implies(X0,not(X1))),implies(implies(X2,implies(X0,not(X1))),X3)))) ),
inference(paramodulation,[status(thm)],[f606,f621]) ).
fof(f1428,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(not(implies(X0,X1)),X2),or(equiv(X1,X0),implies(implies(X1,X0),X2)))) ),
inference(paramodulation,[status(thm)],[f493,f621]) ).
fof(f1441,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(X3,or(X4,X5)),or(X4,or(X3,X5)))))) ),
inference(resolution,[status(thm)],[f626,f616]) ).
fof(f1443,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f626,f582]) ).
fof(f1445,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),or(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))))) ),
inference(resolution,[status(thm)],[f626,f696]) ).
fof(f1446,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(or(X2,or(X3,X4)),or(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f626,f591]) ).
fof(f1447,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,implies(or(X2,or(X3,X4)),or(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f626,f588]) ).
fof(f1448,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(or(X3,or(X4,X5)),or(X4,or(X3,X5))))) ),
inference(paramodulation,[status(thm)],[f596,f626]) ).
fof(f1449,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))) ),
inference(paramodulation,[status(thm)],[f486,f626]) ).
fof(f1467,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f954,f573]) ).
fof(f1470,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(and(or(implies(X0,or(X1,X0)),X2),or(implies(X0,or(X1,X0)),X2))) ),
inference(resolution,[status(thm)],[f954,f696]) ).
fof(f1471,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f954,f591]) ).
fof(f1472,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f954,f588]) ).
fof(f1473,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(or(and(X0,X1),or(X2,implies(X0,not(X1)))),X3)) ),
inference(paramodulation,[status(thm)],[f566,f954]) ).
fof(f1474,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,implies(or(and(X1,X2),not(X3)),X0)),X4)) ),
inference(paramodulation,[status(thm)],[f596,f954]) ).
fof(f1475,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,implies(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f486,f954]) ).
fof(f1476,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(X3,X4),or(X4,X3))))) ),
inference(resolution,[status(thm)],[f627,f616]) ).
fof(f1478,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(or(X0,X1),or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f627,f582]) ).
fof(f1480,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,implies(or(X1,X2),or(X2,X1))),or(X0,implies(or(X1,X2),or(X2,X1))))) ),
inference(resolution,[status(thm)],[f627,f696]) ).
fof(f1481,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(or(X2,X3),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f627,f591]) ).
fof(f1482,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(X1,implies(or(X2,X3),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f627,f588]) ).
fof(f1483,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(or(X3,X4),or(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f596,f627]) ).
fof(f1484,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f627]) ).
fof(f1485,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(or(and(X1,X2),not(X3)),X4),or(X4,and(implies(X1,not(X2)),X3))))) ),
inference(paramodulation,[status(thm)],[f596,f627]) ).
fof(f1487,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(or(X1,and(implies(X2,not(X3)),X4)),implies(or(and(X2,X3),not(X4)),X1)))) ),
inference(paramodulation,[status(thm)],[f596,f627]) ).
fof(f1490,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(implies(X3,X4),implies(implies(X5,X3),implies(X5,X4)))))) ),
inference(resolution,[status(thm)],[f629,f616]) ).
fof(f1491,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X2,X3),implies(implies(X4,X2),implies(X4,X3))))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f629,f605]) ).
fof(f1492,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f629,f582]) ).
fof(f1494,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),or(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))))) ),
inference(resolution,[status(thm)],[f629,f696]) ).
fof(f1495,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(implies(X2,X3),implies(implies(X4,X2),implies(X4,X3)))))) ),
inference(resolution,[status(thm)],[f629,f591]) ).
fof(f1496,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(X1,implies(implies(X2,X3),implies(implies(X4,X2),implies(X4,X3)))))) ),
inference(resolution,[status(thm)],[f629,f588]) ).
fof(f1497,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(implies(X3,X4),implies(implies(X5,X3),implies(X5,X4))))) ),
inference(paramodulation,[status(thm)],[f596,f629]) ).
fof(f1498,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))) ),
inference(paramodulation,[status(thm)],[f486,f629]) ).
fof(f1504,definition,
! [X2,X3,X4] :
( sQ90_spl
<=> is_a_theorem(implies(implies(X2,X3),implies(implies(X4,X2),implies(X4,X3)))) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1505,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))) ),
inference(component_clause,[status(thm)],[f1504]) ).
fof(f1507,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| sQ90_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1491,f1005,f1504,f297,f453,f175,f485,f471]) ).
fof(f1510,plain,
( ~ sQ65_spl
| ~ sQ88_spl
| $false ),
inference(resolution,[status(thm)],[f1006,f413]) ).
fof(f1511,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ88_spl
| ~ is_a_theorem(or(and(X0,X1),not(X2))) ),
inference(paramodulation,[status(thm)],[f566,f1006]) ).
fof(f1512,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ88_spl
| ~ is_a_theorem(implies(X0,and(implies(X1,not(X2)),X3))) ),
inference(paramodulation,[status(thm)],[f602,f1006]) ).
fof(f1513,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ88_spl
| ~ is_a_theorem(implies(X0,equiv(not(X1),X2))) ),
inference(paramodulation,[status(thm)],[f592,f1006]) ).
fof(f1514,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ88_spl
| ~ is_a_theorem(implies(X0,and(X1,or(and(X2,X3),not(X4))))) ),
inference(paramodulation,[status(thm)],[f601,f1006]) ).
fof(f1515,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ88_spl
| ~ is_a_theorem(implies(X0,and(X1,X2))) ),
inference(paramodulation,[status(thm)],[f530,f1006]) ).
fof(f1516,plain,
( ~ sQ65_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f1510]) ).
fof(f1517,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(implies(X3,X4),implies(or(X5,X3),or(X5,X4)))))) ),
inference(resolution,[status(thm)],[f630,f616]) ).
fof(f1518,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f630,f582]) ).
fof(f1520,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),or(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))))) ),
inference(resolution,[status(thm)],[f630,f696]) ).
fof(f1521,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(implies(X2,X3),implies(or(X4,X2),or(X4,X3)))))) ),
inference(resolution,[status(thm)],[f630,f591]) ).
fof(f1522,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(X1,implies(implies(X2,X3),implies(or(X4,X2),or(X4,X3)))))) ),
inference(resolution,[status(thm)],[f630,f588]) ).
fof(f1523,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(implies(X3,X4),implies(or(X5,X3),or(X5,X4))))) ),
inference(paramodulation,[status(thm)],[f596,f630]) ).
fof(f1524,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))) ),
inference(paramodulation,[status(thm)],[f486,f630]) ).
fof(f1535,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(or(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f635,f617]) ).
fof(f1536,plain,
! [X0,X1,X2,X3] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(or(X0,implies(X1,X2)),implies(or(X3,X1),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f635,f613]) ).
fof(f1537,plain,
! [X0,X1,X2,X3] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| is_a_theorem(or(X0,implies(or(X0,or(X1,or(X2,X3))),or(X2,or(X1,X3))))) ),
inference(resolution,[status(thm)],[f635,f610]) ).
fof(f1538,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(or(X0,or(X1,X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f635,f611]) ).
fof(f1539,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(or(X1,or(X0,X2)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f635,f443]) ).
fof(f1540,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(or(X0,or(X1,X1)),X1))) ),
inference(resolution,[status(thm)],[f635,f612]) ).
fof(f1541,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(or(X0,X1),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f635,f615]) ).
fof(f1542,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(or(X0,X1),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f635,f614]) ).
fof(f1543,plain,
! [X0,X1] :
( ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(or(X1,X0),X1))) ),
inference(resolution,[status(thm)],[f635,f432]) ).
fof(f1544,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(or(or(X0,X1),or(X0,X1)),X1))) ),
inference(resolution,[status(thm)],[f635,f413]) ).
fof(f1545,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(and(X0,X1),implies(implies(not(X1),X2),implies(X0,X2)))) ),
inference(resolution,[status(thm)],[f635,f621]) ).
fof(f1546,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(implies(X1,or(X0,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f635,f578]) ).
fof(f1547,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(implies(X1,X0),not(X1)))) ),
inference(resolution,[status(thm)],[f635,f583]) ).
fof(f1548,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f635,f298]) ).
fof(f1551,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(not(X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f486,f635]) ).
fof(f1554,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f486,f1551]) ).
fof(f1555,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1548,f616]) ).
fof(f1556,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f1548,f582]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f1548,f585]) ).
fof(f1558,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(or(X0,implies(X1,X1)),or(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f1548,f696]) ).
fof(f1559,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1548,f591]) ).
fof(f1560,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1548,f588]) ).
fof(f1562,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f486,f1548]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f1288,f1557]) ).
fof(f1565,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(implies(or(X1,X1),X1),X2))) ),
inference(resolution,[status(thm)],[f636,f826]) ).
fof(f1566,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f636,f954]) ).
fof(f1568,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),implies(X0,not(X2))))) ),
inference(resolution,[status(thm)],[f636,f619]) ).
fof(f1569,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,X1),or(and(X1,X2),or(X0,not(X2))))) ),
inference(resolution,[status(thm)],[f636,f598]) ).
fof(f1570,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(and(X1,X2),implies(X1,not(X2))))) ),
inference(resolution,[status(thm)],[f636,f599]) ).
fof(f1571,plain,
! [X0,X1,X2,X3] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,X1),or(X2,implies(or(X3,X0),or(X3,X1))))) ),
inference(resolution,[status(thm)],[f636,f630]) ).
fof(f1572,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,X1),or(X2,implies(implies(X3,X0),implies(X3,X1))))) ),
inference(resolution,[status(thm)],[f636,f629]) ).
fof(f1573,plain,
! [X0,X1,X2,X3] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),or(X3,or(X1,or(X0,X2))))) ),
inference(resolution,[status(thm)],[f636,f626]) ).
fof(f1574,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,X1),or(X2,or(X1,X0)))) ),
inference(resolution,[status(thm)],[f636,f627]) ).
fof(f1575,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,X0),or(X1,X0))) ),
inference(resolution,[status(thm)],[f636,f628]) ).
fof(f1576,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f636,f698]) ).
fof(f1577,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,or(X2,X0)))) ),
inference(resolution,[status(thm)],[f636,f632]) ).
fof(f1578,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,X0)))) ),
inference(resolution,[status(thm)],[f636,f631]) ).
fof(f1586,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,implies(or(X0,implies(X1,or(X2,X3))),or(X2,implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f637,f635]) ).
fof(f1587,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(X1,implies(X2,or(X3,X4)))),implies(X0,or(X1,or(X3,implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f637,f618]) ).
fof(f1588,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,or(X1,implies(X2,or(X3,X4)))),or(X0,or(X1,or(X3,implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f637,f568]) ).
fof(f1589,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X2,implies(X1,X3))))
| ~ is_a_theorem(or(X0,implies(X1,or(X2,X3)))) ),
inference(resolution,[status(thm)],[f637,f176]) ).
fof(f1590,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(or(X0,implies(X1,or(X2,X3))),or(X0,or(X2,implies(X1,X3)))),implies(or(X0,implies(X1,or(X2,X3))),or(X0,or(X2,implies(X1,X3)))))) ),
inference(resolution,[status(thm)],[f637,f696]) ).
fof(f1591,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(or(X1,implies(X2,or(X3,X4))),or(X1,or(X3,implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f637,f591]) ).
fof(f1592,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(or(X1,implies(X2,or(X3,X4))),or(X1,or(X3,implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f637,f588]) ).
fof(f1597,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,implies(X2,X3))),or(X0,or(not(X2),implies(X1,X3))))) ),
inference(paramodulation,[status(thm)],[f486,f637]) ).
fof(f1607,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,implies(X2,X3))),or(X0,implies(X2,implies(X1,X3))))) ),
inference(forward_demodulation,[status(thm)],[f486,f1597]) ).
fof(f1613,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(or(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f1557,f635]) ).
fof(f1617,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f1557,f696]) ).
fof(f1620,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(and(X0,X1),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f566,f1557]) ).
fof(f1622,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(implies(X3,or(X4,X5)),or(X4,implies(X3,X5)))))) ),
inference(resolution,[status(thm)],[f639,f616]) ).
fof(f1623,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(X3,or(X1,implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f639,f636]) ).
fof(f1624,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f639,f582]) ).
fof(f1626,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(or(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3)))),or(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3)))))) ),
inference(resolution,[status(thm)],[f639,f696]) ).
fof(f1627,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,implies(implies(X2,or(X3,X4)),or(X3,implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f639,f591]) ).
fof(f1628,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,implies(implies(X2,or(X3,X4)),or(X3,implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f639,f588]) ).
fof(f1629,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(implies(X3,or(X4,X5)),or(X4,implies(X3,X5))))) ),
inference(paramodulation,[status(thm)],[f596,f639]) ).
fof(f1630,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3))))) ),
inference(paramodulation,[status(thm)],[f486,f639]) ).
fof(f1633,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(implies(X1,implies(X2,X3)),or(not(X2),implies(X1,X3))))) ),
inference(paramodulation,[status(thm)],[f486,f639]) ).
fof(f1639,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))))) ),
inference(forward_demodulation,[status(thm)],[f486,f1633]) ).
fof(f1643,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(X0,implies(X2,implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f645,f618]) ).
fof(f1646,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))),implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f645,f696]) ).
fof(f1647,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f645,f591]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(equiv(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f1564,f696]) ).
fof(f1659,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f1564,f591]) ).
fof(f1660,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f1564,f588]) ).
fof(f1662,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(X2,or(X3,X4)),or(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f648,f568]) ).
fof(f1664,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),implies(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))))) ),
inference(resolution,[status(thm)],[f648,f696]) ).
fof(f1665,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,implies(or(X2,or(X3,X4)),or(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f648,f591]) ).
fof(f1666,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(or(X2,or(X3,X4)),or(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f648,f588]) ).
fof(f1667,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(or(X2,or(X3,X4)),or(X3,or(X2,X4))))) ),
inference(paramodulation,[status(thm)],[f566,f648]) ).
fof(f1686,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(X2,X3),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f649,f568]) ).
fof(f1688,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(or(X1,X2),or(X2,X1))),implies(X0,implies(or(X1,X2),or(X2,X1))))) ),
inference(resolution,[status(thm)],[f649,f696]) ).
fof(f1689,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(X1,implies(or(X2,X3),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f649,f591]) ).
fof(f1690,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(or(X2,X3),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f649,f588]) ).
fof(f1691,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(or(X2,X3),or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f566,f649]) ).
fof(f1692,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(or(and(X1,X2),not(X3)),X4),or(X4,and(implies(X1,not(X2)),X3))))) ),
inference(paramodulation,[status(thm)],[f596,f649]) ).
fof(f1694,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(or(X1,and(implies(X2,not(X3)),X4)),implies(or(and(X2,X3),not(X4)),X1)))) ),
inference(paramodulation,[status(thm)],[f596,f649]) ).
fof(f1697,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f1556,f636]) ).
fof(f1698,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| is_a_theorem(or(X0,or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f1556,f573]) ).
fof(f1701,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(or(implies(X0,X0),X1),or(implies(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f1556,f696]) ).
fof(f1704,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(or(and(X0,X1),implies(X0,not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f566,f1556]) ).
fof(f1706,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(implies(X2,or(X3,X4)),or(X3,implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f651,f568]) ).
fof(f1707,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f651,f176]) ).
fof(f1708,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3)))),implies(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3)))))) ),
inference(resolution,[status(thm)],[f651,f696]) ).
fof(f1709,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,implies(implies(X2,or(X3,X4)),or(X3,implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f651,f591]) ).
fof(f1710,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,or(X3,X4)),or(X3,implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f651,f588]) ).
fof(f1711,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(implies(X2,or(X3,X4)),or(X3,implies(X2,X4))))) ),
inference(paramodulation,[status(thm)],[f566,f651]) ).
fof(f1718,definition,
! [X1,X2,X3] :
( sQ91_spl
<=> is_a_theorem(implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3)))) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1719,plain,
! [X0,X1,X2] :
( ~ sQ91_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))) ),
inference(component_clause,[status(thm)],[f1718]) ).
fof(f1721,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| sQ91_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1707,f1022,f1718,f220,f442,f485,f175]) ).
fof(f1728,plain,
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1564,f1023]) ).
fof(f1729,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f826,f1023]) ).
fof(f1730,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f954,f1023]) ).
fof(f1731,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f876,f1023]) ).
fof(f1732,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1556,f1023]) ).
fof(f1733,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f600,f1023]) ).
fof(f1734,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f619,f1023]) ).
fof(f1735,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f598,f1023]) ).
fof(f1736,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f599,f1023]) ).
fof(f1737,plain,
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f587,f1023]) ).
fof(f1738,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f639,f1023]) ).
fof(f1739,plain,
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f630,f1023]) ).
fof(f1740,plain,
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f629,f1023]) ).
fof(f1741,plain,
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f626,f1023]) ).
fof(f1742,plain,
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f627,f1023]) ).
fof(f1743,plain,
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f628,f1023]) ).
fof(f1744,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f698,f1023]) ).
fof(f1745,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f632,f1023]) ).
fof(f1746,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f631,f1023]) ).
fof(f1747,plain,
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1548,f1023]) ).
fof(f1748,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f620,f1023]) ).
fof(f1749,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f604,f1023]) ).
fof(f1750,plain,
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f584,f1023]) ).
fof(f1751,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f637,f1023]) ).
fof(f1752,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f617,f1023]) ).
fof(f1753,plain,
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f613,f1023]) ).
fof(f1754,plain,
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f579,f1023]) ).
fof(f1755,plain,
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f610,f1023]) ).
fof(f1756,plain,
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f611,f1023]) ).
fof(f1757,plain,
( ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f443,f1023]) ).
fof(f1758,plain,
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f612,f1023]) ).
fof(f1759,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f615,f1023]) ).
fof(f1760,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f614,f1023]) ).
fof(f1761,plain,
( ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f432,f1023]) ).
fof(f1762,plain,
( ~ sQ65_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f413,f1023]) ).
fof(f1763,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f621,f1023]) ).
fof(f1764,plain,
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f645,f1023]) ).
fof(f1765,plain,
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f578,f1023]) ).
fof(f1766,plain,
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f583,f1023]) ).
fof(f1767,plain,
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f571,f1023]) ).
fof(f1768,plain,
( ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f454,f1023]) ).
fof(f1769,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f676,f1023]) ).
fof(f1770,plain,
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f651,f1023]) ).
fof(f1771,plain,
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f648,f1023]) ).
fof(f1772,plain,
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f649,f1023]) ).
fof(f1773,plain,
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f650,f1023]) ).
fof(f1774,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f697,f1023]) ).
fof(f1775,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f655,f1023]) ).
fof(f1776,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f654,f1023]) ).
fof(f1777,plain,
( ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f221,f1023]) ).
fof(f1778,plain,
( ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f298,f1023]) ).
fof(f1779,plain,
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1557,f1023]) ).
fof(f1780,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1658,f1023]) ).
fof(f1781,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1417,f1023]) ).
fof(f1782,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1646,f1023]) ).
fof(f1783,plain,
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f748,f1023]) ).
fof(f1784,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1289,f1023]) ).
fof(f1785,plain,
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f751,f1023]) ).
fof(f1786,plain,
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f750,f1023]) ).
fof(f1787,plain,
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f749,f1023]) ).
fof(f1788,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1379,f1023]) ).
fof(f1789,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f966,f1023]) ).
fof(f1790,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1121,f1023]) ).
fof(f1791,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1160,f1023]) ).
fof(f1792,plain,
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f745,f1023]) ).
fof(f1793,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1177,f1023]) ).
fof(f1794,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1590,f1023]) ).
fof(f1795,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1296,f1023]) ).
fof(f1796,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1206,f1023]) ).
fof(f1797,plain,
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f744,f1023]) ).
fof(f1798,plain,
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f743,f1023]) ).
fof(f1799,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1258,f1023]) ).
fof(f1800,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1228,f1023]) ).
fof(f1801,plain,
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f746,f1023]) ).
fof(f1802,plain,
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f747,f1023]) ).
fof(f1803,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f754,f1023]) ).
fof(f1804,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1708,f1023]) ).
fof(f1805,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1664,f1023]) ).
fof(f1806,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1688,f1023]) ).
fof(f1807,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1016,f1023]) ).
fof(f1808,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1192,f1023]) ).
fof(f1809,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1150,f1023]) ).
fof(f1810,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1099,f1023]) ).
fof(f1811,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f753,f1023]) ).
fof(f1812,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f752,f1023]) ).
fof(f1813,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1342,f1023]) ).
fof(f1814,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1470,f1023]) ).
fof(f1815,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1409,f1023]) ).
fof(f1816,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1701,f1023]) ).
fof(f1817,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f857,f1023]) ).
fof(f1818,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1351,f1023]) ).
fof(f1819,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f804,f1023]) ).
fof(f1820,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f837,f1023]) ).
fof(f1821,plain,
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f742,f1023]) ).
fof(f1822,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1626,f1023]) ).
fof(f1823,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1520,f1023]) ).
fof(f1824,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1494,f1023]) ).
fof(f1825,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1445,f1023]) ).
fof(f1826,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1480,f1023]) ).
fof(f1827,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f828,f1023]) ).
fof(f1828,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1243,f1023]) ).
fof(f1829,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f956,f1023]) ).
fof(f1830,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f878,f1023]) ).
fof(f1831,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1558,f1023]) ).
fof(f1832,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1473,f1023]) ).
fof(f1833,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1704,f1023]) ).
fof(f1834,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1412,f1023]) ).
fof(f1835,plain,
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1347,f1023]) ).
fof(f1836,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f856,f1023]) ).
fof(f1837,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1345,f1023]) ).
fof(f1838,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1624,f1023]) ).
fof(f1839,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1518,f1023]) ).
fof(f1840,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1492,f1023]) ).
fof(f1841,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1350,f1023]) ).
fof(f1842,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1443,f1023]) ).
fof(f1843,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f803,f1023]) ).
fof(f1844,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1478,f1023]) ).
fof(f1845,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1241,f1023]) ).
fof(f1846,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f836,f1023]) ).
fof(f1847,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1355,f1023]) ).
fof(f1848,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1078,f1023]) ).
fof(f1849,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1077,f1023]) ).
fof(f1850,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1076,f1023]) ).
fof(f1851,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1356,f1023]) ).
fof(f1852,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1042,f1023]) ).
fof(f1853,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1041,f1023]) ).
fof(f1854,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1040,f1023]) ).
fof(f1855,plain,
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f861,f1023]) ).
fof(f1856,plain,
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1357,f1023]) ).
fof(f1857,plain,
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f808,f1023]) ).
fof(f1858,plain,
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f841,f1023]) ).
fof(f1859,plain,
( ~ sQ87_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f672,f1023]) ).
fof(f1860,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1359,f1023]) ).
fof(f1861,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f790,f1023]) ).
fof(f1862,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f703,f1023]) ).
fof(f1863,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1545,f1023]) ).
fof(f1864,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1620,f1023]) ).
fof(f1865,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f691,f1023]) ).
fof(f1866,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1660,f1023]) ).
fof(f1867,plain,
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1339,f1023]) ).
fof(f1868,plain,
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1467,f1023]) ).
fof(f1869,plain,
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1406,f1023]) ).
fof(f1870,plain,
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1698,f1023]) ).
fof(f1871,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f859,f1023]) ).
fof(f1872,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1353,f1023]) ).
fof(f1873,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f806,f1023]) ).
fof(f1874,plain,
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f855,f1023]) ).
fof(f1875,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f839,f1023]) ).
fof(f1876,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1253,f1023]) ).
fof(f1877,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f671,f1023]) ).
fof(f1878,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1628,f1023]) ).
fof(f1879,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1522,f1023]) ).
fof(f1880,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1496,f1023]) ).
fof(f1881,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1447,f1023]) ).
fof(f1882,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1482,f1023]) ).
fof(f1883,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f830,f1023]) ).
fof(f1884,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1245,f1023]) ).
fof(f1885,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f958,f1023]) ).
fof(f1886,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f880,f1023]) ).
fof(f1887,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1560,f1023]) ).
fof(f1888,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1419,f1023]) ).
fof(f1889,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f833,f1023]) ).
fof(f1890,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1485,f1023]) ).
fof(f1891,plain,
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1639,f1023]) ).
fof(f1892,plain,
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1546,f1023]) ).
fof(f1893,plain,
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1547,f1023]) ).
fof(f1894,plain,
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1249,f1023]) ).
fof(f1895,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f686,f1023]) ).
fof(f1896,plain,
( ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1544,f1023]) ).
fof(f1897,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1381,f1023]) ).
fof(f1898,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f968,f1023]) ).
fof(f1899,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1487,f1023]) ).
fof(f1900,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f709,f1023]) ).
fof(f1901,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1592,f1023]) ).
fof(f1902,plain,
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1586,f1023]) ).
fof(f1903,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1298,f1023]) ).
fof(f1904,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1208,f1023]) ).
fof(f1905,plain,
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1536,f1023]) ).
fof(f1906,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1535,f1023]) ).
fof(f1907,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f659,f1023]) ).
fof(f1908,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1123,f1023]) ).
fof(f1909,plain,
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1537,f1023]) ).
fof(f1910,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1162,f1023]) ).
fof(f1911,plain,
( ~ sQ73_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1539,f1023]) ).
fof(f1912,plain,
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1538,f1023]) ).
fof(f1913,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1179,f1023]) ).
fof(f1914,plain,
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1540,f1023]) ).
fof(f1915,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1542,f1023]) ).
fof(f1916,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1260,f1023]) ).
fof(f1917,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1230,f1023]) ).
fof(f1918,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1541,f1023]) ).
fof(f1919,plain,
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1613,f1023]) ).
fof(f1920,plain,
( ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1543,f1023]) ).
fof(f1921,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1710,f1023]) ).
fof(f1922,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1666,f1023]) ).
fof(f1923,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1690,f1023]) ).
fof(f1924,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1018,f1023]) ).
fof(f1925,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1194,f1023]) ).
fof(f1926,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1152,f1023]) ).
fof(f1927,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1101,f1023]) ).
fof(f1928,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1427,f1023]) ).
fof(f1929,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1426,f1023]) ).
fof(f1930,plain,
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1428,f1023]) ).
fof(f1931,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f914,f1023]) ).
fof(f1932,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f900,f1023]) ).
fof(f1933,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f774,f1023]) ).
fof(f1934,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f776,f1023]) ).
fof(f1935,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1376,f1023]) ).
fof(f1936,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1313,f1023]) ).
fof(f1937,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1587,f1023]) ).
fof(f1938,plain,
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1317,f1023]) ).
fof(f1939,plain,
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1316,f1023]) ).
fof(f1940,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1315,f1023]) ).
fof(f1941,plain,
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1314,f1023]) ).
fof(f1942,plain,
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1318,f1023]) ).
fof(f1943,plain,
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1319,f1023]) ).
fof(f1944,plain,
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1137,f1023]) ).
fof(f1945,plain,
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1321,f1023]) ).
fof(f1946,plain,
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1623,f1023]) ).
fof(f1947,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1323,f1023]) ).
fof(f1948,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1322,f1023]) ).
fof(f1949,plain,
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1172,f1023]) ).
fof(f1950,plain,
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1187,f1023]) ).
fof(f1951,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f762,f1023]) ).
fof(f1952,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1414,f1023]) ).
fof(f1953,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1643,f1023]) ).
fof(f1954,plain,
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1326,f1023]) ).
fof(f1955,plain,
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1328,f1023]) ).
fof(f1956,plain,
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1327,f1023]) ).
fof(f1957,plain,
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1308,f1023]) ).
fof(f1958,plain,
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1219,f1023]) ).
fof(f1959,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1568,f1023]) ).
fof(f1960,plain,
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1572,f1023]) ).
fof(f1961,plain,
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1571,f1023]) ).
fof(f1962,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1331,f1023]) ).
fof(f1963,plain,
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1268,f1023]) ).
fof(f1964,plain,
( ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1237,f1023]) ).
fof(f1965,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1383,f1023]) ).
fof(f1966,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1074,f1023]) ).
fof(f1967,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1384,f1023]) ).
fof(f1968,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1038,f1023]) ).
fof(f1969,plain,
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1385,f1023]) ).
fof(f1970,plain,
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f970,f1023]) ).
fof(f1971,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f775,f1023]) ).
fof(f1972,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f899,f1023]) ).
fof(f1973,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1301,f1023]) ).
fof(f1974,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f964,f1023]) ).
fof(f1975,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1169,f1023]) ).
fof(f1976,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1119,f1023]) ).
fof(f1977,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1158,f1023]) ).
fof(f1978,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1175,f1023]) ).
fof(f1979,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f706,f1023]) ).
fof(f1980,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1588,f1023]) ).
fof(f1981,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1294,f1023]) ).
fof(f1982,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1204,f1023]) ).
fof(f1983,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f656,f1023]) ).
fof(f1984,plain,
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1573,f1023]) ).
fof(f1985,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1256,f1023]) ).
fof(f1986,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1226,f1023]) ).
fof(f1987,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1304,f1023]) ).
fof(f1988,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1182,f1023]) ).
fof(f1989,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1165,f1023]) ).
fof(f1990,plain,
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1607,f1023]) ).
fof(f1991,plain,
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1183,f1023]) ).
fof(f1992,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1287,f1023]) ).
fof(f1993,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f683,f1023]) ).
fof(f1994,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1569,f1023]) ).
fof(f1995,plain,
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1574,f1023]) ).
fof(f1996,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f695,f1023]) ).
fof(f1997,plain,
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1575,f1023]) ).
fof(f1998,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1659,f1023]) ).
fof(f1999,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1418,f1023]) ).
fof(f2000,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1020,f1023]) ).
fof(f2001,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1692,f1023]) ).
fof(f2002,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1647,f1023]) ).
fof(f2003,plain,
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1197,f1023]) ).
fof(f2004,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f685,f1023]) ).
fof(f2005,plain,
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f653,f1023]) ).
fof(f2006,plain,
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f652,f1023]) ).
fof(f2007,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1380,f1023]) ).
fof(f2008,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f967,f1023]) ).
fof(f2009,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1694,f1023]) ).
fof(f2010,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f708,f1023]) ).
fof(f2011,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1591,f1023]) ).
fof(f2012,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1297,f1023]) ).
fof(f2013,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1207,f1023]) ).
fof(f2014,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f658,f1023]) ).
fof(f2015,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1122,f1023]) ).
fof(f2016,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1161,f1023]) ).
fof(f2017,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1178,f1023]) ).
fof(f2018,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1259,f1023]) ).
fof(f2019,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1229,f1023]) ).
fof(f2020,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1709,f1023]) ).
fof(f2021,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1665,f1023]) ).
fof(f2022,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1689,f1023]) ).
fof(f2023,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1017,f1023]) ).
fof(f2024,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1193,f1023]) ).
fof(f2025,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1151,f1023]) ).
fof(f2026,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1100,f1023]) ).
fof(f2027,plain,
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1562,f1023]) ).
fof(f2028,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1343,f1023]) ).
fof(f2029,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1471,f1023]) ).
fof(f2030,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1410,f1023]) ).
fof(f2031,plain,
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1697,f1023]) ).
fof(f2032,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f858,f1023]) ).
fof(f2033,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1352,f1023]) ).
fof(f2034,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f805,f1023]) ).
fof(f2035,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1570,f1023]) ).
fof(f2036,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f838,f1023]) ).
fof(f2037,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1201,f1023]) ).
fof(f2038,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f670,f1023]) ).
fof(f2039,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1577,f1023]) ).
fof(f2040,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1576,f1023]) ).
fof(f2041,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1627,f1023]) ).
fof(f2042,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1521,f1023]) ).
fof(f2043,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1495,f1023]) ).
fof(f2044,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1446,f1023]) ).
fof(f2045,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1481,f1023]) ).
fof(f2046,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f829,f1023]) ).
fof(f2047,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1244,f1023]) ).
fof(f2048,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f957,f1023]) ).
fof(f2049,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f879,f1023]) ).
fof(f2050,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1578,f1023]) ).
fof(f2051,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1559,f1023]) ).
fof(f2052,plain,
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1728]) ).
fof(f2059,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f696,f1557]) ).
fof(f2083,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| is_a_theorem(implies(implies(X0,not(X0)),not(X0))) ),
inference(paramodulation,[status(thm)],[f486,f413]) ).
fof(f2089,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(or(and(X0,X1),not(X2)),or(X3,X4)),or(X3,or(and(implies(X0,not(X1)),X2),X4)))) ),
inference(paramodulation,[status(thm)],[f596,f443]) ).
fof(f2090,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))) ),
inference(paramodulation,[status(thm)],[f486,f443]) ).
fof(f2095,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(and(implies(X0,not(X1)),X2),or(X3,X4)),or(X3,implies(or(and(X0,X1),not(X2)),X4)))) ),
inference(paramodulation,[status(thm)],[f596,f443]) ).
fof(f2096,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(not(X0),or(X1,X2)),or(X1,implies(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f486,f443]) ).
fof(f2097,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(or(and(X0,X1),not(X2)),or(X3,X4)),or(X3,implies(or(and(X0,X1),not(X2)),X4)))) ),
inference(forward_demodulation,[status(thm)],[f596,f2089]) ).
fof(f2098,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))) ),
inference(forward_demodulation,[status(thm)],[f486,f2090]) ).
fof(f2103,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(or(and(X0,X1),not(X2)),or(X3,X4)),or(X3,implies(or(and(X0,X1),not(X2)),X4)))) ),
inference(forward_demodulation,[status(thm)],[f596,f2095]) ).
fof(f2104,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))) ),
inference(forward_demodulation,[status(thm)],[f486,f2096]) ).
fof(f2110,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f493,f676]) ).
fof(f2143,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(and(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f566,f221]) ).
fof(f2149,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(or(and(X1,X2),not(X3)),X0))) ),
inference(paramodulation,[status(thm)],[f596,f298]) ).
fof(f2150,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f486,f298]) ).
fof(f2161,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1660,f588]) ).
fof(f2162,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1660,f591]) ).
fof(f2163,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ73_spl
| is_a_theorem(and(or(X0,equiv(X1,X1)),or(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f1660,f696]) ).
fof(f2164,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),equiv(X3,X3))) ),
inference(paramodulation,[status(thm)],[f596,f1660]) ).
fof(f2165,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f486,f1660]) ).
fof(f2167,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(equiv(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f582,f1660]) ).
fof(f2181,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(equiv(X1,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1659,f176]) ).
fof(f2182,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1659,f588]) ).
fof(f2183,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1659,f591]) ).
fof(f2184,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(X0,equiv(X1,X1)),implies(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f1659,f696]) ).
fof(f2186,definition,
! [X1] :
( sQ92_spl
<=> is_a_theorem(equiv(X1,X1)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f2187,plain,
! [X0] :
( ~ sQ92_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(component_clause,[status(thm)],[f2186]) ).
fof(f2189,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| sQ92_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f2181,f1022,f2186,f442,f297,f471,f412,f485,f431,f492,f220,f175]) ).
fof(f2195,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(equiv(X0,X0),not(implies(X0,X0)))) ),
inference(paramodulation,[status(thm)],[f493,f587]) ).
fof(f2220,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f486,f584]) ).
fof(f2231,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1562,f568]) ).
fof(f2232,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1562,f176]) ).
fof(f2233,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1562,f588]) ).
fof(f2234,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1562,f591]) ).
fof(f2235,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(X0,implies(X1,X1)),implies(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f1562,f696]) ).
fof(f2237,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(and(X1,X2),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f566,f1562]) ).
fof(f2238,definition,
! [X1] :
( sQ93_spl
<=> is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f2239,plain,
! [X0] :
( ~ sQ93_spl
| is_a_theorem(implies(X0,X0)) ),
inference(component_clause,[status(thm)],[f2238]) ).
fof(f2241,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ73_spl
| sQ93_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f2232,f1022,f2238,f442,f297,f485,f175]) ).
fof(f2267,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f486,f583]) ).
fof(f2277,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f2167,f573]) ).
fof(f2281,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f2167,f591]) ).
fof(f2282,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ73_spl
| is_a_theorem(and(or(equiv(X0,X0),X1),or(equiv(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f2167,f696]) ).
fof(f2296,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f616,f1660]) ).
fof(f2297,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f616,f1548]) ).
fof(f2309,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,or(implies(or(X1,X1),X1),X2))) ),
inference(resolution,[status(thm)],[f826,f588]) ).
fof(f2313,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(implies(X0,not(X0)),not(X0)),X1)) ),
inference(paramodulation,[status(thm)],[f486,f826]) ).
fof(f2315,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f636,f2167]) ).
fof(f2316,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(implies(or(X1,X1),X1),X2))) ),
inference(resolution,[status(thm)],[f636,f826]) ).
fof(f2337,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f954,f636]) ).
fof(f2341,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(implies(X1,or(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f954,f588]) ).
fof(f2345,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,implies(or(and(X1,X2),not(X3)),X0)),X4)) ),
inference(paramodulation,[status(thm)],[f596,f954]) ).
fof(f2346,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,implies(X1,X0)),X2)) ),
inference(paramodulation,[status(thm)],[f486,f954]) ).
fof(f2357,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f618,f1562]) ).
fof(f2363,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(equiv(X2,X2))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f605,f1660]) ).
fof(f2364,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ81_spl
| is_a_theorem(implies(X2,X2))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f605,f1548]) ).
fof(f2370,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| sQ92_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f2363,f1005,f2186,f442,f471,f412,f485,f431,f492,f297,f175]) ).
fof(f2371,plain,
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ81_spl
| sQ93_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f2364,f1005,f2238,f471,f442,f175,f485,f297]) ).
fof(f2379,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(implies(X1,implies(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f876,f588]) ).
fof(f2384,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f707,f2167]) ).
fof(f2386,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| is_a_theorem(implies(X0,implies(or(X1,X1),X1))) ),
inference(resolution,[status(thm)],[f707,f826]) ).
fof(f2388,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f707,f954]) ).
fof(f2390,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(implies(X3,and(implies(X0,not(X1)),X2)))
| ~ is_a_theorem(implies(or(and(X0,X1),not(X2)),not(X3))) ),
inference(paramodulation,[status(thm)],[f596,f707]) ).
fof(f2391,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f486,f707]) ).
fof(f2392,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(and(X1,X2),not(X3)),X0))
| ~ is_a_theorem(or(X0,and(implies(X1,not(X2)),X3))) ),
inference(paramodulation,[status(thm)],[f602,f707]) ).
fof(f2394,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X1,and(implies(X2,not(X3)),X4)),X0))
| ~ is_a_theorem(or(X0,and(X1,or(and(X2,X3),not(X4))))) ),
inference(paramodulation,[status(thm)],[f601,f707]) ).
fof(f2412,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(X3,X3),X3)))) ),
inference(resolution,[status(thm)],[f628,f616]) ).
fof(f2419,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(or(X3,X3),X3))) ),
inference(paramodulation,[status(thm)],[f596,f628]) ).
fof(f2420,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(or(X1,X1),X1))) ),
inference(paramodulation,[status(thm)],[f486,f628]) ).
fof(f2422,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,not(X1)),not(X1)))) ),
inference(paramodulation,[status(thm)],[f486,f628]) ).
fof(f2425,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| is_a_theorem(or(or(X0,not(X1)),not(implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f668,f583]) ).
fof(f2426,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(X0,X2)),not(implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f668,f571]) ).
fof(f2427,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(or(X0,X1),or(X0,X2)),not(implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f668,f454]) ).
fof(f2428,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,or(X1,X2)),not(or(X1,implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f668,f579]) ).
fof(f2429,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(X0,X1),not(or(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f668,f584]) ).
fof(f2430,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(X0,or(X1,X2)),not(or(X1,or(X0,X2))))) ),
inference(resolution,[status(thm)],[f668,f443]) ).
fof(f2431,plain,
! [X0,X1] :
( ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(or(or(X0,X1),not(or(X1,X0)))) ),
inference(resolution,[status(thm)],[f668,f432]) ).
fof(f2432,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,not(or(X0,X0)))) ),
inference(resolution,[status(thm)],[f668,f413]) ).
fof(f2434,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(X0,X1),not(X1))) ),
inference(resolution,[status(thm)],[f668,f298]) ).
fof(f2436,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,X1),not(X1))) ),
inference(resolution,[status(thm)],[f668,f221]) ).
fof(f2438,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(resolution,[status(thm)],[f668,f1557]) ).
fof(f2453,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(or(and(X0,X1),implies(or(and(X2,X3),not(X4)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f596,f600]) ).
fof(f2454,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(or(and(X0,X1),implies(X2,implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f600]) ).
fof(f2470,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(X0,X1)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f2438,f605]) ).
fof(f2471,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,not(and(X1,X2))))) ),
inference(resolution,[status(thm)],[f2438,f616]) ).
fof(f2474,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f2438,f588]) ).
fof(f2475,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f2438,f591]) ).
fof(f2476,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f2438,f696]) ).
fof(f2477,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),not(and(implies(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f596,f2438]) ).
fof(f2478,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,not(not(X0)))) ),
inference(paramodulation,[status(thm)],[f486,f2438]) ).
fof(f2479,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(or(and(X0,X1),not(X2)),and(implies(X0,not(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f602,f2438]) ).
fof(f2480,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(not(X0),X1),and(X1,X0)),equiv(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f592,f2438]) ).
fof(f2481,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,and(implies(X1,not(X2)),X3)),and(X0,or(and(X1,X2),not(X3))))) ),
inference(paramodulation,[status(thm)],[f601,f2438]) ).
fof(f2482,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,not(X1)),and(X0,X1))) ),
inference(paramodulation,[status(thm)],[f530,f2438]) ).
fof(f2546,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))) ),
inference(resolution,[status(thm)],[f2478,f618]) ).
fof(f2547,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,X1),or(X0,not(not(X1))))) ),
inference(resolution,[status(thm)],[f2478,f568]) ).
fof(f2548,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(X0)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2478,f176]) ).
fof(f2549,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(X1,not(not(X1))))) ),
inference(resolution,[status(thm)],[f2478,f588]) ).
fof(f2550,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(X1,not(not(X1))))) ),
inference(resolution,[status(thm)],[f2478,f591]) ).
fof(f2551,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(X0,not(not(X0))),implies(X0,not(not(X0))))) ),
inference(resolution,[status(thm)],[f2478,f696]) ).
fof(f2555,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),not(and(X0,or(and(X1,X2),not(X3)))))) ),
inference(paramodulation,[status(thm)],[f601,f2478]) ).
fof(f2558,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(not(implies(implies(X0,not(not(X0))),and(X0,not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f565,f2551]) ).
fof(f2559,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(not(or(and(X0,not(X0)),and(X0,not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f566,f2558]) ).
fof(f2575,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),or(and(X2,X3),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f566,f599]) ).
fof(f2591,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X2,or(X3,X4)),or(X3,implies(X2,X4))))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f639,f605]) ).
fof(f2592,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(implies(X3,or(X4,X5)),or(X4,implies(X3,X5)))))) ),
inference(resolution,[status(thm)],[f639,f616]) ).
fof(f2595,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))) ),
inference(resolution,[status(thm)],[f639,f585]) ).
fof(f2599,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(implies(X3,or(X4,X5)),or(X4,implies(X3,X5))))) ),
inference(paramodulation,[status(thm)],[f596,f639]) ).
fof(f2600,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3))))) ),
inference(paramodulation,[status(thm)],[f486,f639]) ).
fof(f2607,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| sQ91_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f2591,f1005,f1718,f442,f297,f175,f485,f471]) ).
fof(f2614,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(not(not(or(equiv(X0,X0),X1)))) ),
inference(resolution,[status(thm)],[f2548,f2167]) ).
fof(f2615,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(and(X0,X1),implies(or(X2,X0),or(X2,not(X1))))))) ),
inference(resolution,[status(thm)],[f2548,f598]) ).
fof(f2616,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(and(X0,X1),implies(implies(X2,X0),implies(X2,not(X1))))))) ),
inference(resolution,[status(thm)],[f2548,f619]) ).
fof(f2617,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(and(X0,X1),implies(X2,implies(X0,not(X1))))))) ),
inference(resolution,[status(thm)],[f2548,f599]) ).
fof(f2618,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(and(X0,X1),or(X2,implies(X0,not(X1))))))) ),
inference(resolution,[status(thm)],[f2548,f600]) ).
fof(f2619,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(and(X0,X0),not(X0))))) ),
inference(resolution,[status(thm)],[f2548,f587]) ).
fof(f2620,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(not(not(or(implies(or(X0,X0),X0),X1)))) ),
inference(resolution,[status(thm)],[f2548,f826]) ).
fof(f2621,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(not(not(or(implies(X0,implies(X1,X0)),X2)))) ),
inference(resolution,[status(thm)],[f2548,f876]) ).
fof(f2622,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(not(not(or(implies(X0,or(X1,X0)),X2)))) ),
inference(resolution,[status(thm)],[f2548,f954]) ).
fof(f2623,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ65_spl
| is_a_theorem(not(not(or(implies(X0,X0),X1)))) ),
inference(resolution,[status(thm)],[f2548,f1556]) ).
fof(f2624,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,not(X0))))) ),
inference(resolution,[status(thm)],[f2548,f2438]) ).
fof(f2625,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(not(not(or(X0,equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f2548,f1660]) ).
fof(f2626,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3))))))) ),
inference(resolution,[status(thm)],[f2548,f639]) ).
fof(f2627,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,implies(or(X1,X1),X1))))) ),
inference(resolution,[status(thm)],[f2548,f628]) ).
fof(f2628,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f2548,f1548]) ).
fof(f2629,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(not(not(implies(implies(X0,X1),or(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f2548,f583]) ).
fof(f2630,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))) ),
inference(resolution,[status(thm)],[f2548,f571]) ).
fof(f2631,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))) ),
inference(resolution,[status(thm)],[f2548,f454]) ).
fof(f2632,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))))) ),
inference(resolution,[status(thm)],[f2548,f579]) ).
fof(f2633,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(not(not(implies(or(X0,not(X1)),implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f2548,f584]) ).
fof(f2634,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))) ),
inference(resolution,[status(thm)],[f2548,f443]) ).
fof(f2635,plain,
! [X0,X1] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(not(not(implies(or(X0,X1),or(X1,X0))))) ),
inference(resolution,[status(thm)],[f2548,f432]) ).
fof(f2636,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(or(X0,X0),X0)))) ),
inference(resolution,[status(thm)],[f2548,f413]) ).
fof(f2637,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(X0,not(not(X0)))))) ),
inference(resolution,[status(thm)],[f2548,f2478]) ).
fof(f2638,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(not(not(implies(X0,equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f2548,f1659]) ).
fof(f2639,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(X0,or(X1,X0))))) ),
inference(resolution,[status(thm)],[f2548,f298]) ).
fof(f2640,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(X0,implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f2548,f1562]) ).
fof(f2641,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(X0,implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f2548,f221]) ).
fof(f2642,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(not(not(implies(X0,and(X0,X0))))) ),
inference(resolution,[status(thm)],[f2548,f676]) ).
fof(f2643,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f2548,f1557]) ).
fof(f2644,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(not(not(equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f2548,f1564]) ).
fof(f2645,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(implies(X0,not(X0)),X0))) ),
inference(forward_demodulation,[status(thm)],[f602,f2619]) ).
fof(f2646,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| is_a_theorem(not(and(X0,not(X0)))) ),
inference(forward_demodulation,[status(thm)],[f530,f2637]) ).
fof(f2648,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(implies(X3,X4),implies(or(X5,X3),or(X5,X4)))))) ),
inference(resolution,[status(thm)],[f630,f616]) ).
fof(f2652,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(not(not(or(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))))) ),
inference(resolution,[status(thm)],[f630,f2548]) ).
fof(f2656,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(implies(X3,X4),implies(or(X5,X3),or(X5,X4))))) ),
inference(paramodulation,[status(thm)],[f596,f630]) ).
fof(f2657,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))) ),
inference(paramodulation,[status(thm)],[f486,f630]) ).
fof(f2670,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(implies(X3,X4),implies(implies(X5,X3),implies(X5,X4)))))) ),
inference(resolution,[status(thm)],[f629,f616]) ).
fof(f2674,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(not(not(or(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))))) ),
inference(resolution,[status(thm)],[f629,f2548]) ).
fof(f2678,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(implies(X3,X4),implies(implies(X5,X3),implies(X5,X4))))) ),
inference(paramodulation,[status(thm)],[f596,f629]) ).
fof(f2679,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))) ),
inference(paramodulation,[status(thm)],[f486,f629]) ).
fof(f2688,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| is_a_theorem(not(not(not(and(X0,not(X0)))))) ),
inference(resolution,[status(thm)],[f2646,f2548]) ).
fof(f2689,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,not(and(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f2646,f588]) ).
fof(f2690,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,not(and(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f2646,f591]) ).
fof(f2691,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(not(and(X0,not(X0))),not(and(X0,not(X0))))) ),
inference(resolution,[status(thm)],[f2646,f696]) ).
fof(f2692,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(or(and(X0,X1),not(X2)),and(implies(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f602,f2646]) ).
fof(f2694,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(implies(X0,and(implies(X1,not(X2)),X3)),and(X0,or(and(X1,X2),not(X3)))))) ),
inference(paramodulation,[status(thm)],[f601,f2646]) ).
fof(f2695,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(implies(X0,not(X1)),and(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f530,f2646]) ).
fof(f2697,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(X3,or(X4,X5)),or(X4,or(X3,X5)))))) ),
inference(resolution,[status(thm)],[f626,f616]) ).
fof(f2701,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))))) ),
inference(resolution,[status(thm)],[f626,f2548]) ).
fof(f2705,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(or(X3,or(X4,X5)),or(X4,or(X3,X5))))) ),
inference(paramodulation,[status(thm)],[f596,f626]) ).
fof(f2706,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))) ),
inference(paramodulation,[status(thm)],[f486,f626]) ).
fof(f2725,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(X3,X4),or(X4,X3))))) ),
inference(resolution,[status(thm)],[f627,f616]) ).
fof(f2729,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,implies(or(X1,X2),or(X2,X1)))))) ),
inference(resolution,[status(thm)],[f627,f2548]) ).
fof(f2733,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(or(X3,X4),or(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f596,f627]) ).
fof(f2734,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f627]) ).
fof(f2740,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(not(not(implies(X0,X0)))))) ),
inference(resolution,[status(thm)],[f2643,f2548]) ).
fof(f2741,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,not(not(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f2643,f588]) ).
fof(f2742,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,not(not(implies(X1,X1))))) ),
inference(resolution,[status(thm)],[f2643,f591]) ).
fof(f2743,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(not(not(implies(X0,X0))),not(not(implies(X0,X0))))) ),
inference(resolution,[status(thm)],[f2643,f696]) ).
fof(f2744,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(and(implies(X0,not(X1)),X2),or(and(X0,X1),not(X2))))) ),
inference(paramodulation,[status(thm)],[f601,f2643]) ).
fof(f2745,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(not(X0),X0))) ),
inference(paramodulation,[status(thm)],[f530,f2643]) ).
fof(f2746,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(and(X0,X1),implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f566,f2643]) ).
fof(f2748,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f632,f616]) ).
fof(f2752,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,implies(X1,or(X2,X1)))))) ),
inference(resolution,[status(thm)],[f632,f2548]) ).
fof(f2756,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(X3,or(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f596,f632]) ).
fof(f2757,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f632]) ).
fof(f2759,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(or(and(X2,X3),not(X4)),X1)))) ),
inference(paramodulation,[status(thm)],[f596,f632]) ).
fof(f2760,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f632]) ).
fof(f2767,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(or(X0,implies(X1,implies(X2,X1)))))) ),
inference(resolution,[status(thm)],[f631,f2548]) ).
fof(f2776,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ87_spl
| ~ sQ81_spl
| is_a_theorem(not(not(not(not(equiv(X0,X0)))))) ),
inference(resolution,[status(thm)],[f2644,f2548]) ).
fof(f2777,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,not(not(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f2644,f588]) ).
fof(f2778,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,not(not(equiv(X1,X1))))) ),
inference(resolution,[status(thm)],[f2644,f591]) ).
fof(f2779,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(not(not(equiv(X0,X0))),not(not(equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f2644,f696]) ).
fof(f2780,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(or(implies(implies(X0,implies(X1,not(X2))),implies(X0,X3)),not(or(and(X1,X2),X3)))) ),
inference(resolution,[status(thm)],[f620,f668]) ).
fof(f2784,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(not(not(implies(or(and(X0,X1),X2),implies(implies(X3,implies(X0,not(X1))),implies(X3,X2)))))) ),
inference(resolution,[status(thm)],[f620,f2548]) ).
fof(f2812,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(or(implies(or(X0,implies(X1,not(X2))),or(X0,X3)),not(or(and(X1,X2),X3)))) ),
inference(resolution,[status(thm)],[f604,f668]) ).
fof(f2816,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(not(not(implies(or(and(X0,X1),X2),implies(or(X3,implies(X0,not(X1))),or(X3,X2)))))) ),
inference(resolution,[status(thm)],[f604,f2548]) ).
fof(f2848,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| is_a_theorem(not(not(not(and(not(X0),X0))))) ),
inference(resolution,[status(thm)],[f2745,f2548]) ).
fof(f2849,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,not(and(not(X1),X1)))) ),
inference(resolution,[status(thm)],[f2745,f588]) ).
fof(f2850,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,not(and(not(X1),X1)))) ),
inference(resolution,[status(thm)],[f2745,f591]) ).
fof(f2851,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(not(and(not(X0),X0)),not(and(not(X0),X0)))) ),
inference(resolution,[status(thm)],[f2745,f696]) ).
fof(f2855,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(and(X0,or(and(X1,X2),not(X3))),implies(X0,and(implies(X1,not(X2)),X3))))) ),
inference(paramodulation,[status(thm)],[f601,f2745]) ).
fof(f2861,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(or(or(X0,or(X1,implies(X2,X3))),not(or(X0,implies(X2,or(X1,X3)))))) ),
inference(resolution,[status(thm)],[f637,f668]) ).
fof(f2865,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(not(not(implies(or(X0,implies(X1,or(X2,X3))),or(X0,or(X2,implies(X1,X3))))))) ),
inference(resolution,[status(thm)],[f637,f2548]) ).
fof(f2890,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(or(X0,implies(implies(X1,X2),implies(X1,X3))),not(or(X0,implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f617,f668]) ).
fof(f2894,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(not(not(implies(or(X0,implies(X1,X2)),or(X0,implies(implies(X3,X1),implies(X3,X2))))))) ),
inference(resolution,[status(thm)],[f617,f2548]) ).
fof(f2912,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(not(or(and(X0,X1),and(X0,X1))))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f2432,f605]) ).
fof(f2913,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,not(or(and(X1,X2),and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f2432,f616]) ).
fof(f2916,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,not(or(X0,X0)))))) ),
inference(resolution,[status(thm)],[f2432,f2548]) ).
fof(f2917,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(X1,not(or(X1,X1))))) ),
inference(resolution,[status(thm)],[f2432,f588]) ).
fof(f2918,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(X1,not(or(X1,X1))))) ),
inference(resolution,[status(thm)],[f2432,f591]) ).
fof(f2919,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(and(or(X0,not(or(X0,X0))),or(X0,not(or(X0,X0))))) ),
inference(resolution,[status(thm)],[f2432,f696]) ).
fof(f2921,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,not(or(not(X0),not(X0))))) ),
inference(paramodulation,[status(thm)],[f486,f2432]) ).
fof(f2923,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(not(X0),not(implies(X0,not(X0))))) ),
inference(paramodulation,[status(thm)],[f486,f2432]) ).
fof(f2927,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,not(implies(X0,not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f486,f2921]) ).
fof(f2931,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,not(implies(X0,not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f486,f2923]) ).
fof(f2934,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(or(X0,implies(or(X1,X2),or(X1,X3))),not(or(X0,implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f613,f668]) ).
fof(f2938,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(not(not(implies(or(X0,implies(X1,X2)),or(X0,implies(or(X3,X1),or(X3,X2))))))) ),
inference(resolution,[status(thm)],[f613,f2548]) ).
fof(f2960,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(or(or(X0,or(X1,or(X2,X3))),not(or(X0,or(X2,or(X1,X3)))))) ),
inference(resolution,[status(thm)],[f610,f668]) ).
fof(f2964,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(not(not(implies(or(X0,or(X1,or(X2,X3))),or(X0,or(X2,or(X1,X3))))))) ),
inference(resolution,[status(thm)],[f610,f2548]) ).
fof(f2994,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(or(X0,X1),not(X1))))) ),
inference(resolution,[status(thm)],[f2434,f2548]) ).
fof(f2995,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(or(X1,X2),not(X2)))) ),
inference(resolution,[status(thm)],[f2434,f588]) ).
fof(f2996,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(or(X1,X2),not(X2)))) ),
inference(resolution,[status(thm)],[f2434,f591]) ).
fof(f2997,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(and(or(or(X0,X1),not(X1)),or(or(X0,X1),not(X1)))) ),
inference(resolution,[status(thm)],[f2434,f696]) ).
fof(f2998,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(or(and(X0,X1),not(X2)),X3),not(X3))) ),
inference(paramodulation,[status(thm)],[f596,f2434]) ).
fof(f2999,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,X1),not(X1))) ),
inference(paramodulation,[status(thm)],[f486,f2434]) ).
fof(f3000,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(X0,or(and(X1,X2),not(X3))),and(implies(X1,not(X2)),X3))) ),
inference(paramodulation,[status(thm)],[f602,f2434]) ).
fof(f3001,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(X0,implies(implies(not(X1),X2),and(X2,X1))),equiv(not(X1),X2))) ),
inference(paramodulation,[status(thm)],[f592,f2434]) ).
fof(f3002,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(X0,implies(X1,and(implies(X2,not(X3)),X4))),and(X1,or(and(X2,X3),not(X4))))) ),
inference(paramodulation,[status(thm)],[f601,f2434]) ).
fof(f3006,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(or(X0,or(X1,X2)),not(or(X0,or(X2,X1))))) ),
inference(resolution,[status(thm)],[f611,f668]) ).
fof(f3010,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(not(not(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1)))))) ),
inference(resolution,[status(thm)],[f611,f2548]) ).
fof(f3027,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(or(or(X0,X1),not(or(X0,or(X1,X1))))) ),
inference(resolution,[status(thm)],[f612,f668]) ).
fof(f3031,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(not(not(implies(or(X0,or(X1,X1)),or(X0,X1))))) ),
inference(resolution,[status(thm)],[f612,f2548]) ).
fof(f3047,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(or(implies(X0,X1),not(X1))))) ),
inference(resolution,[status(thm)],[f2436,f2548]) ).
fof(f3048,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(implies(X1,X2),not(X2)))) ),
inference(resolution,[status(thm)],[f2436,f588]) ).
fof(f3049,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(implies(X1,X2),not(X2)))) ),
inference(resolution,[status(thm)],[f2436,f591]) ).
fof(f3050,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| is_a_theorem(and(or(implies(X0,X1),not(X1)),or(implies(X0,X1),not(X1)))) ),
inference(resolution,[status(thm)],[f2436,f696]) ).
fof(f3051,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(and(X0,X1),X2),not(X2))) ),
inference(paramodulation,[status(thm)],[f566,f2436]) ).
fof(f3052,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,or(and(X1,X2),not(X3))),and(implies(X1,not(X2)),X3))) ),
inference(paramodulation,[status(thm)],[f602,f2436]) ).
fof(f3053,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,implies(implies(not(X1),X2),and(X2,X1))),equiv(not(X1),X2))) ),
inference(paramodulation,[status(thm)],[f592,f2436]) ).
fof(f3054,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,implies(X1,and(implies(X2,not(X3)),X4))),and(X1,or(and(X2,X3),not(X4))))) ),
inference(paramodulation,[status(thm)],[f601,f2436]) ).
fof(f3058,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ76_spl
| is_a_theorem(or(or(X0,or(X1,X2)),not(or(X0,X2)))) ),
inference(resolution,[status(thm)],[f615,f668]) ).
fof(f3062,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(not(not(implies(or(X0,X1),or(X0,or(X2,X1)))))) ),
inference(resolution,[status(thm)],[f615,f2548]) ).
fof(f3070,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(and(X2,X3),not(X4)),X1)))) ),
inference(paramodulation,[status(thm)],[f596,f615]) ).
fof(f3071,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f615]) ).
fof(f3077,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ76_spl
| is_a_theorem(or(or(X0,implies(X1,X2)),not(or(X0,X2)))) ),
inference(resolution,[status(thm)],[f614,f668]) ).
fof(f3081,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ76_spl
| is_a_theorem(not(not(implies(or(X0,X1),or(X0,implies(X2,X1)))))) ),
inference(resolution,[status(thm)],[f614,f2548]) ).
fof(f3089,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,X1),or(X0,or(and(X2,X3),X1)))) ),
inference(paramodulation,[status(thm)],[f566,f614]) ).
fof(f3094,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X2,not(X2)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f2474,f605]) ).
fof(f3095,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f2474,f616]) ).
fof(f3096,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(resolution,[status(thm)],[f2474,f573]) ).
fof(f3097,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(or(X0,not(X0)),X1)) ),
inference(resolution,[status(thm)],[f2474,f582]) ).
fof(f3099,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f2474,f2548]) ).
fof(f3100,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f2474,f588]) ).
fof(f3101,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f2474,f591]) ).
fof(f3102,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(or(X0,or(X1,not(X1))),or(X0,or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f2474,f696]) ).
fof(f3103,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),or(X3,not(X3)))) ),
inference(paramodulation,[status(thm)],[f596,f2474]) ).
fof(f3104,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(X1,not(X1)))) ),
inference(paramodulation,[status(thm)],[f486,f2474]) ).
fof(f3105,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(or(and(X1,X2),not(X3)),not(and(implies(X1,not(X2)),X3))))) ),
inference(paramodulation,[status(thm)],[f596,f2474]) ).
fof(f3107,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(or(and(X1,X2),not(X3)),and(implies(X1,not(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f602,f2474]) ).
fof(f3108,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(implies(implies(not(X1),X2),and(X2,X1)),equiv(not(X1),X2)))) ),
inference(paramodulation,[status(thm)],[f592,f2474]) ).
fof(f3109,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(implies(X1,and(implies(X2,not(X3)),X4)),and(X1,or(and(X2,X3),not(X4)))))) ),
inference(paramodulation,[status(thm)],[f601,f2474]) ).
fof(f3110,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(implies(X1,not(X2)),and(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f530,f2474]) ).
fof(f3111,definition,
! [X2] :
( sQ94_spl
<=> is_a_theorem(or(X2,not(X2))) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f3112,plain,
! [X0] :
( ~ sQ94_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(component_clause,[status(thm)],[f3111]) ).
fof(f3114,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| sQ94_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f3094,f1005,f3111,f431,f442,f412,f297,f175,f485,f471]) ).
fof(f3116,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(or(or(and(X0,X1),implies(X0,X2)),not(implies(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f621,f668]) ).
fof(f3120,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(not(not(implies(implies(not(X0),X1),or(and(X2,X0),implies(X2,X1)))))) ),
inference(resolution,[status(thm)],[f621,f2548]) ).
fof(f3145,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(X0,implies(X1,X2)),not(implies(X1,implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f645,f668]) ).
fof(f3149,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))))) ),
inference(resolution,[status(thm)],[f645,f2548]) ).
fof(f3154,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(and(X1,X2),X3)),implies(implies(X1,not(X2)),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f566,f645]) ).
fof(f3155,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,not(X2)),X3)),or(and(X1,X2),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f566,f645]) ).
fof(f3158,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(and(X1,X2),X3)),or(and(X1,X2),implies(X0,X3)))) ),
inference(forward_demodulation,[status(thm)],[f566,f3154]) ).
fof(f3159,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(and(X1,X2),X3)),or(and(X1,X2),implies(X0,X3)))) ),
inference(forward_demodulation,[status(thm)],[f566,f3155]) ).
fof(f3161,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(X1,not(X0)))) ),
inference(resolution,[status(thm)],[f2475,f635]) ).
fof(f3165,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X1,not(X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2475,f176]) ).
fof(f3166,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,or(X1,not(X1)))))) ),
inference(resolution,[status(thm)],[f2475,f2548]) ).
fof(f3167,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f2475,f588]) ).
fof(f3168,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f2475,f591]) ).
fof(f3169,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(X0,or(X1,not(X1))),implies(X0,or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f2475,f696]) ).
fof(f3171,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(or(and(X1,X2),not(X3)),not(and(implies(X1,not(X2)),X3))))) ),
inference(paramodulation,[status(thm)],[f596,f2475]) ).
fof(f3173,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(or(and(X1,X2),not(X3)),and(implies(X1,not(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f602,f2475]) ).
fof(f3174,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(implies(implies(not(X1),X2),and(X2,X1)),equiv(not(X1),X2)))) ),
inference(paramodulation,[status(thm)],[f592,f2475]) ).
fof(f3175,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(implies(X1,and(implies(X2,not(X3)),X4)),and(X1,or(and(X2,X3),not(X4)))))) ),
inference(paramodulation,[status(thm)],[f601,f2475]) ).
fof(f3176,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(implies(X1,not(X2)),and(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f530,f2475]) ).
fof(f3177,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| sQ94_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3165,f1022,f3111,f431,f442,f485,f297,f412,f220,f175]) ).
fof(f3178,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2))),not(X3))) ),
inference(resolution,[status(thm)],[f651,f668]) ).
fof(f3180,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(implies(X2,or(X3,X4)),or(X3,implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f651,f568]) ).
fof(f3182,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3))))))) ),
inference(resolution,[status(thm)],[f651,f2548]) ).
fof(f3186,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(implies(X2,or(X3,X4)),or(X3,implies(X2,X4))))) ),
inference(paramodulation,[status(thm)],[f566,f651]) ).
fof(f3200,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))),not(X3))) ),
inference(resolution,[status(thm)],[f648,f668]) ).
fof(f3202,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(X2,or(X3,X4)),or(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f648,f568]) ).
fof(f3204,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))))) ),
inference(resolution,[status(thm)],[f648,f2548]) ).
fof(f3208,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(or(X2,or(X3,X4)),or(X3,or(X2,X4))))) ),
inference(paramodulation,[status(thm)],[f566,f648]) ).
fof(f3226,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(X2,not(and(X0,X1))))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f3096,f605]) ).
fof(f3227,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,or(X3,not(and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f3096,f616]) ).
fof(f3229,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| is_a_theorem(or(or(X0,not(X1)),X1)) ),
inference(resolution,[status(thm)],[f3096,f582]) ).
fof(f3230,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,or(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f3096,f2548]) ).
fof(f3231,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f3096,f588]) ).
fof(f3232,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f3096,f591]) ).
fof(f3233,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,or(X1,not(X0))),or(X0,or(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f3096,f696]) ).
fof(f3234,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),or(X3,not(and(implies(X0,not(X1)),X2))))) ),
inference(paramodulation,[status(thm)],[f596,f3096]) ).
fof(f3235,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(X1,not(not(X0))))) ),
inference(paramodulation,[status(thm)],[f486,f3096]) ).
fof(f3236,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(or(and(X1,X2),not(X3)),not(X0)))) ),
inference(paramodulation,[status(thm)],[f596,f3096]) ).
fof(f3237,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f486,f3096]) ).
fof(f3238,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(or(and(X0,X1),not(X2)),or(X3,and(implies(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f602,f3096]) ).
fof(f3239,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(not(X0),X1),and(X1,X0)),or(X2,equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f592,f3096]) ).
fof(f3240,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,and(implies(X1,not(X2)),X3)),or(X4,and(X0,or(and(X1,X2),not(X3)))))) ),
inference(paramodulation,[status(thm)],[f601,f3096]) ).
fof(f3241,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,not(X1)),or(X2,and(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f530,f3096]) ).
fof(f3242,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(or(X0,X1),or(X1,X0)),not(X2))) ),
inference(resolution,[status(thm)],[f649,f668]) ).
fof(f3244,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(X2,X3),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f649,f568]) ).
fof(f3246,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,implies(or(X1,X2),or(X2,X1)))))) ),
inference(resolution,[status(thm)],[f649,f2548]) ).
fof(f3250,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(or(X2,X3),or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f566,f649]) ).
fof(f3256,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(or(X0,X0),X0),not(X1))) ),
inference(resolution,[status(thm)],[f650,f668]) ).
fof(f3258,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(X2,X2),X2)))) ),
inference(resolution,[status(thm)],[f650,f568]) ).
fof(f3260,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,implies(or(X1,X1),X1))))) ),
inference(resolution,[status(thm)],[f650,f2548]) ).
fof(f3264,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(or(X2,X2),X2))) ),
inference(paramodulation,[status(thm)],[f566,f650]) ).
fof(f3266,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(X1,not(X1)),not(X1)))) ),
inference(paramodulation,[status(thm)],[f486,f650]) ).
fof(f3269,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f3097,f707]) ).
fof(f3270,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(implies(X0,or(or(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f3097,f636]) ).
fof(f3271,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| is_a_theorem(or(X0,or(or(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f3097,f573]) ).
fof(f3274,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(or(X0,not(X0)),X1)))) ),
inference(resolution,[status(thm)],[f3097,f2548]) ).
fof(f3277,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(or(or(X0,not(X0)),X1),or(or(X0,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f3097,f696]) ).
fof(f3278,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(or(and(X0,X1),not(X2)),not(and(implies(X0,not(X1)),X2))),X3)) ),
inference(paramodulation,[status(thm)],[f596,f3097]) ).
fof(f3279,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(X0,not(not(X0))),X1)) ),
inference(paramodulation,[status(thm)],[f486,f3097]) ).
fof(f3280,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(or(or(and(X0,X1),not(X2)),and(implies(X0,not(X1)),X2)),X3)) ),
inference(paramodulation,[status(thm)],[f602,f3097]) ).
fof(f3281,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(or(implies(implies(not(X0),X1),and(X1,X0)),equiv(not(X0),X1)),X2)) ),
inference(paramodulation,[status(thm)],[f592,f3097]) ).
fof(f3282,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(or(implies(X0,and(implies(X1,not(X2)),X3)),and(X0,or(and(X1,X2),not(X3)))),X4)) ),
inference(paramodulation,[status(thm)],[f601,f3097]) ).
fof(f3283,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(or(implies(X0,not(X1)),and(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f530,f3097]) ).
fof(f3288,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,implies(X1,or(X2,X1)))))) ),
inference(resolution,[status(thm)],[f655,f2548]) ).
fof(f3297,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(X1,X0)),not(X2))) ),
inference(resolution,[status(thm)],[f654,f668]) ).
fof(f3299,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f654,f568]) ).
fof(f3301,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,implies(X1,implies(X2,X1)))))) ),
inference(resolution,[status(thm)],[f654,f2548]) ).
fof(f3305,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(and(X0,X1),implies(X2,implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f566,f654]) ).
fof(f3307,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(and(X2,X3),X1)))) ),
inference(paramodulation,[status(thm)],[f566,f654]) ).
fof(f3309,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(X2,not(and(X0,X1))))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f3161,f605]) ).
fof(f3310,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X3,not(and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f3161,f616]) ).
fof(f3312,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,not(X1)),X1)) ),
inference(resolution,[status(thm)],[f3161,f582]) ).
fof(f3313,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(or(X0,implies(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f3161,f2548]) ).
fof(f3314,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f3161,f588]) ).
fof(f3315,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f3161,f591]) ).
fof(f3316,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X0,implies(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f3161,f696]) ).
fof(f3317,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(X3,not(and(implies(X0,not(X1)),X2))))) ),
inference(paramodulation,[status(thm)],[f596,f3161]) ).
fof(f3318,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(X1,not(not(X0))))) ),
inference(paramodulation,[status(thm)],[f486,f3161]) ).
fof(f3320,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(or(and(X0,X1),not(X2)),implies(X3,and(implies(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f602,f3161]) ).
fof(f3321,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(not(X0),X1),and(X1,X0)),implies(X2,equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f592,f3161]) ).
fof(f3322,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,and(implies(X1,not(X2)),X3)),implies(X4,and(X0,or(and(X1,X2),not(X3)))))) ),
inference(paramodulation,[status(thm)],[f601,f3161]) ).
fof(f3323,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,not(X1)),implies(X2,and(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f530,f3161]) ).
fof(f3325,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f691,f616]) ).
fof(f3326,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(and(X1,X0),not(X1)))) ),
inference(resolution,[status(thm)],[f691,f636]) ).
fof(f3327,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ85_spl
| is_a_theorem(or(implies(X0,not(X1)),and(X1,X0))) ),
inference(resolution,[status(thm)],[f691,f582]) ).
fof(f3328,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| is_a_theorem(not(not(or(and(X0,X1),implies(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f691,f2548]) ).
fof(f3329,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(and(X1,X2),implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f691,f588]) ).
fof(f3330,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(and(X1,X2),implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f691,f591]) ).
fof(f3331,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_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)],[f691,f696]) ).
fof(f3333,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(implies(X0,not(X1)),X2),implies(implies(X2,implies(X0,not(X1))),not(or(and(X0,X1),X2))))) ),
inference(paramodulation,[status(thm)],[f607,f691]) ).
fof(f3334,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(X0,implies(X1,not(X2))),implies(or(and(X1,X2),X0),not(implies(X0,implies(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f606,f691]) ).
fof(f3335,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(X0,X1),implies(implies(X1,X0),not(implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f493,f691]) ).
fof(f3340,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(and(implies(X0,and(implies(X1,not(X2)),X3)),X4),implies(X4,and(X0,or(and(X1,X2),not(X3)))))) ),
inference(paramodulation,[status(thm)],[f601,f691]) ).
fof(f3348,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(and(X2,X2),not(X2)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f671,f605]) ).
fof(f3349,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,or(and(X3,X3),not(X3))))) ),
inference(resolution,[status(thm)],[f671,f616]) ).
fof(f3350,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,X0),or(X1,not(X0)))) ),
inference(resolution,[status(thm)],[f671,f573]) ).
fof(f3353,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| is_a_theorem(not(not(or(X0,or(and(X1,X1),not(X1)))))) ),
inference(resolution,[status(thm)],[f671,f2548]) ).
fof(f3354,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,or(X1,or(and(X2,X2),not(X2))))) ),
inference(resolution,[status(thm)],[f671,f588]) ).
fof(f3355,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,or(X1,or(and(X2,X2),not(X2))))) ),
inference(resolution,[status(thm)],[f671,f591]) ).
fof(f3356,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,or(and(X1,X1),not(X1))),or(X0,or(and(X1,X1),not(X1))))) ),
inference(resolution,[status(thm)],[f671,f696]) ).
fof(f3357,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),or(and(X3,X3),not(X3)))) ),
inference(paramodulation,[status(thm)],[f596,f671]) ).
fof(f3358,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,or(and(X1,X1),not(X1)))) ),
inference(paramodulation,[status(thm)],[f486,f671]) ).
fof(f3360,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,or(equiv(X1,X1),not(implies(X1,X1))))) ),
inference(paramodulation,[status(thm)],[f493,f671]) ).
fof(f3364,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,or(and(implies(X1,and(implies(X2,not(X3)),X4)),implies(X1,and(implies(X2,not(X3)),X4))),and(X1,or(and(X2,X3),not(X4)))))) ),
inference(paramodulation,[status(thm)],[f601,f671]) ).
fof(f3366,definition,
! [X2] :
( sQ95_spl
<=> is_a_theorem(or(and(X2,X2),not(X2))) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f3367,plain,
! [X0] :
( ~ sQ95_spl
| is_a_theorem(or(and(X0,X0),not(X0))) ),
inference(component_clause,[status(thm)],[f3366]) ).
fof(f3369,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| sQ95_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f3348,f1005,f3366,f412,f297,f175,f485,f471]) ).
fof(f3379,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,implies(implies(implies(X1,and(implies(X2,not(X3)),X4)),and(X1,or(and(X2,X3),not(X4)))),and(X1,or(and(X2,X3),not(X4)))))) ),
inference(forward_demodulation,[status(thm)],[f902,f3364]) ).
fof(f3383,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(implies(X0,or(or(X1,not(implies(X0,X2))),X2))) ),
inference(resolution,[status(thm)],[f3229,f636]) ).
fof(f3384,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| is_a_theorem(or(X0,or(or(X1,not(or(X0,X2))),X2))) ),
inference(resolution,[status(thm)],[f3229,f573]) ).
fof(f3386,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(or(X0,not(X1)),X1)))) ),
inference(resolution,[status(thm)],[f3229,f2548]) ).
fof(f3387,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ85_spl
| is_a_theorem(or(X0,or(or(X1,not(X2)),X2))) ),
inference(resolution,[status(thm)],[f3229,f588]) ).
fof(f3388,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| is_a_theorem(implies(X0,or(or(X1,not(X2)),X2))) ),
inference(resolution,[status(thm)],[f3229,f591]) ).
fof(f3389,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ34_spl
| is_a_theorem(and(or(or(X0,not(X1)),X1),or(or(X0,not(X1)),X1))) ),
inference(resolution,[status(thm)],[f3229,f696]) ).
fof(f3390,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(implies(or(and(X0,X1),not(X2)),not(X3)),X3)) ),
inference(paramodulation,[status(thm)],[f596,f3229]) ).
fof(f3391,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(implies(X0,not(X1)),X1)) ),
inference(paramodulation,[status(thm)],[f486,f3229]) ).
fof(f3392,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(X0,and(implies(X1,not(X2)),X3)),or(and(X1,X2),not(X3)))) ),
inference(paramodulation,[status(thm)],[f602,f3229]) ).
fof(f3393,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(X0,equiv(not(X1),X2)),implies(implies(not(X1),X2),and(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f592,f3229]) ).
fof(f3394,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(X0,and(X1,or(and(X2,X3),not(X4)))),implies(X1,and(implies(X2,not(X3)),X4)))) ),
inference(paramodulation,[status(thm)],[f601,f3229]) ).
fof(f3395,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(X0,and(X1,X2)),implies(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f530,f3229]) ).
fof(f3396,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X2,X3),or(X3,not(X2))))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f686,f605]) ).
fof(f3397,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(implies(X3,X4),or(X4,not(X3)))))) ),
inference(resolution,[status(thm)],[f686,f616]) ).
fof(f3398,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,X1),or(X2,or(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f686,f636]) ).
fof(f3399,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| is_a_theorem(or(implies(implies(X0,X1),or(X1,not(X0))),X2)) ),
inference(resolution,[status(thm)],[f686,f582]) ).
fof(f3401,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,implies(implies(X1,X2),or(X2,not(X1))))))) ),
inference(resolution,[status(thm)],[f686,f2548]) ).
fof(f3402,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(X1,implies(implies(X2,X3),or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f686,f588]) ).
fof(f3403,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(X1,implies(implies(X2,X3),or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f686,f591]) ).
fof(f3404,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,implies(implies(X1,X2),or(X2,not(X1)))),or(X0,implies(implies(X1,X2),or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f686,f696]) ).
fof(f3405,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(implies(X3,X4),or(X4,not(X3))))) ),
inference(paramodulation,[status(thm)],[f596,f686]) ).
fof(f3406,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),or(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f686]) ).
fof(f3409,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),implies(or(and(X2,X3),not(X4)),not(X1))))) ),
inference(paramodulation,[status(thm)],[f596,f686]) ).
fof(f3410,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(X1,not(X2)),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f686]) ).
fof(f3413,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(implies(X1,and(implies(X2,not(X3)),X4)),X5),or(X5,and(X1,or(and(X2,X3),not(X4))))))) ),
inference(paramodulation,[status(thm)],[f601,f686]) ).
fof(f3415,definition,
! [X2,X3] :
( sQ96_spl
<=> is_a_theorem(implies(implies(X2,X3),or(X3,not(X2)))) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f3416,plain,
! [X0,X1] :
( ~ sQ96_spl
| is_a_theorem(implies(implies(X0,X1),or(X1,not(X0)))) ),
inference(component_clause,[status(thm)],[f3415]) ).
fof(f3418,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| sQ96_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f3396,f1005,f3415,f431,f297,f175,f485,f471]) ).
fof(f3424,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X2,not(X3)),implies(X3,X2)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f709,f605]) ).
fof(f3425,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(X3,not(X4)),implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f709,f616]) ).
fof(f3426,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,not(X1)),or(X2,implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f709,f636]) ).
fof(f3427,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| is_a_theorem(or(implies(or(X0,not(X1)),implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f709,f582]) ).
fof(f3429,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,implies(or(X1,not(X2)),implies(X2,X1)))))) ),
inference(resolution,[status(thm)],[f709,f2548]) ).
fof(f3430,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(X1,implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f709,f588]) ).
fof(f3431,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(X1,implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f709,f591]) ).
fof(f3432,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,implies(or(X1,not(X2)),implies(X2,X1))),or(X0,implies(or(X1,not(X2)),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f709,f696]) ).
fof(f3433,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(or(X3,not(X4)),implies(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f596,f709]) ).
fof(f3434,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f709]) ).
fof(f3435,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(or(and(X1,X2),not(X3)),not(X4)),implies(X4,and(implies(X1,not(X2)),X3))))) ),
inference(paramodulation,[status(thm)],[f596,f709]) ).
fof(f3436,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(X1,not(X2)),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f709]) ).
fof(f3439,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(or(X1,and(X2,or(and(X3,X4),not(X5)))),implies(implies(X2,and(implies(X3,not(X4)),X5)),X1)))) ),
inference(paramodulation,[status(thm)],[f601,f709]) ).
fof(f3442,definition,
! [X2,X3] :
( sQ97_spl
<=> is_a_theorem(implies(or(X2,not(X3)),implies(X3,X2))) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f3443,plain,
! [X0,X1] :
( ~ sQ97_spl
| is_a_theorem(implies(or(X0,not(X1)),implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f3442]) ).
fof(f3445,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| sQ97_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f3424,f1005,f3442,f431,f297,f175,f485,f471]) ).
fof(f3446,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(and(or(and(X1,X2),not(X3)),X4),implies(X4,and(implies(X1,not(X2)),X3))))) ),
inference(forward_demodulation,[status(thm)],[f566,f3435]) ).
fof(f3452,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(implies(X1,not(implies(X0,X2))),X2))) ),
inference(resolution,[status(thm)],[f3312,f636]) ).
fof(f3453,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(implies(X1,not(or(X0,X2))),X2))) ),
inference(resolution,[status(thm)],[f3312,f573]) ).
fof(f3455,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(or(implies(X0,not(X1)),X1)))) ),
inference(resolution,[status(thm)],[f3312,f2548]) ).
fof(f3456,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,or(implies(X1,not(X2)),X2))) ),
inference(resolution,[status(thm)],[f3312,f588]) ).
fof(f3457,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(implies(X1,not(X2)),X2))) ),
inference(resolution,[status(thm)],[f3312,f591]) ).
fof(f3458,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(and(or(implies(X0,not(X1)),X1),or(implies(X0,not(X1)),X1))) ),
inference(resolution,[status(thm)],[f3312,f696]) ).
fof(f3460,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,and(implies(X1,not(X2)),X3)),or(and(X1,X2),not(X3)))) ),
inference(paramodulation,[status(thm)],[f602,f3312]) ).
fof(f3461,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,equiv(not(X1),X2)),implies(implies(not(X1),X2),and(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f592,f3312]) ).
fof(f3462,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(X1,and(implies(X2,not(X3)),X4)))) ),
inference(paramodulation,[status(thm)],[f601,f3312]) ).
fof(f3463,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,and(X1,X2)),implies(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f530,f3312]) ).
fof(f3464,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X2,implies(X3,X4)),implies(X3,or(X2,X4))))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f659,f605]) ).
fof(f3465,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(X3,implies(X4,X5)),implies(X4,or(X3,X5)))))) ),
inference(resolution,[status(thm)],[f659,f616]) ).
fof(f3466,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),or(X3,implies(X1,or(X0,X2))))) ),
inference(resolution,[status(thm)],[f659,f636]) ).
fof(f3467,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f659,f582]) ).
fof(f3469,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3))))))) ),
inference(resolution,[status(thm)],[f659,f2548]) ).
fof(f3470,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,implies(or(X2,implies(X3,X4)),implies(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f659,f588]) ).
fof(f3471,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,implies(or(X2,implies(X3,X4)),implies(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f659,f591]) ).
fof(f3472,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(or(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3)))),or(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3)))))) ),
inference(resolution,[status(thm)],[f659,f696]) ).
fof(f3473,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(or(X3,implies(X4,X5)),implies(X4,or(X3,X5))))) ),
inference(paramodulation,[status(thm)],[f596,f659]) ).
fof(f3474,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3))))) ),
inference(paramodulation,[status(thm)],[f486,f659]) ).
fof(f3481,definition,
! [X2,X3,X4] :
( sQ98_spl
<=> is_a_theorem(implies(or(X2,implies(X3,X4)),implies(X3,or(X2,X4)))) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f3482,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))) ),
inference(component_clause,[status(thm)],[f3481]) ).
fof(f3484,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| sQ98_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f3464,f1005,f3481,f442,f297,f175,f485,f471]) ).
fof(f3491,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(or(X0,or(X1,not(X2))),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f706,f635]) ).
fof(f3492,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(or(X0,implies(X1,X2)),not(or(X0,or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f706,f668]) ).
fof(f3493,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,or(X1,or(X2,not(X3)))),implies(X0,or(X1,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f706,f618]) ).
fof(f3494,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,or(X1,or(X2,not(X3)))),or(X0,or(X1,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f706,f568]) ).
fof(f3495,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(X2,X1)))
| ~ is_a_theorem(or(X0,or(X1,not(X2)))) ),
inference(resolution,[status(thm)],[f706,f176]) ).
fof(f3496,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(not(not(implies(or(X0,or(X1,not(X2))),or(X0,implies(X2,X1)))))) ),
inference(resolution,[status(thm)],[f706,f2548]) ).
fof(f3497,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(or(X1,or(X2,not(X3))),or(X1,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f706,f588]) ).
fof(f3498,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(or(X1,or(X2,not(X3))),or(X1,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f706,f591]) ).
fof(f3499,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(and(implies(or(X0,or(X1,not(X2))),or(X0,implies(X2,X1))),implies(or(X0,or(X1,not(X2))),or(X0,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f706,f696]) ).
fof(f3502,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),not(X3)),not(X4))),or(X0,implies(X4,and(implies(X1,not(X2)),X3))))) ),
inference(paramodulation,[status(thm)],[f596,f706]) ).
fof(f3503,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f706]) ).
fof(f3506,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,or(X1,and(X2,or(and(X3,X4),not(X5))))),or(X0,implies(implies(X2,and(implies(X3,not(X4)),X5)),X1)))) ),
inference(paramodulation,[status(thm)],[f601,f706]) ).
fof(f3519,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X3,and(X3,X3))))) ),
inference(resolution,[status(thm)],[f698,f616]) ).
fof(f3523,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| is_a_theorem(not(not(or(X0,implies(X1,and(X1,X1)))))) ),
inference(resolution,[status(thm)],[f698,f2548]) ).
fof(f3527,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(X3,and(X3,X3)))) ),
inference(paramodulation,[status(thm)],[f596,f698]) ).
fof(f3528,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,implies(X1,and(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f698]) ).
fof(f3530,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,implies(implies(X1,X1),equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f493,f698]) ).
fof(f3537,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,implies(or(X0,or(X1,implies(X2,X3))),implies(X2,or(X1,X3))))) ),
inference(resolution,[status(thm)],[f656,f635]) ).
fof(f3538,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(or(or(X0,implies(X1,or(X2,X3))),not(or(X0,or(X2,implies(X1,X3)))))) ),
inference(resolution,[status(thm)],[f656,f668]) ).
fof(f3539,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(X1,or(X2,implies(X3,X4)))),implies(X0,or(X1,implies(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f656,f618]) ).
fof(f3540,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,or(X1,or(X2,implies(X3,X4)))),or(X0,or(X1,implies(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f656,f568]) ).
fof(f3541,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X2,or(X1,X3))))
| ~ is_a_theorem(or(X0,or(X1,implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f656,f176]) ).
fof(f3542,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(not(not(implies(or(X0,or(X1,implies(X2,X3))),or(X0,implies(X2,or(X1,X3))))))) ),
inference(resolution,[status(thm)],[f656,f2548]) ).
fof(f3543,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(or(X1,or(X2,implies(X3,X4))),or(X1,implies(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f656,f588]) ).
fof(f3544,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(or(X1,or(X2,implies(X3,X4))),or(X1,implies(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f656,f591]) ).
fof(f3545,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(or(X0,or(X1,implies(X2,X3))),or(X0,implies(X2,or(X1,X3)))),implies(or(X0,or(X1,implies(X2,X3))),or(X0,implies(X2,or(X1,X3)))))) ),
inference(resolution,[status(thm)],[f656,f696]) ).
fof(f3566,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(or(X0,implies(X1,X2)),or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f683,f635]) ).
fof(f3567,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(or(X0,or(X1,not(X2))),not(or(X0,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f683,f668]) ).
fof(f3568,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,or(X1,implies(X2,X3))),implies(X0,or(X1,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f683,f618]) ).
fof(f3569,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,or(X1,implies(X2,X3))),or(X0,or(X1,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f683,f568]) ).
fof(f3570,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(X2,not(X1))))
| ~ is_a_theorem(or(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f683,f176]) ).
fof(f3571,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(not(not(implies(or(X0,implies(X1,X2)),or(X0,or(X2,not(X1))))))) ),
inference(resolution,[status(thm)],[f683,f2548]) ).
fof(f3572,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(or(X1,implies(X2,X3)),or(X1,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f683,f588]) ).
fof(f3573,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(or(X1,implies(X2,X3)),or(X1,or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f683,f591]) ).
fof(f3574,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(and(implies(or(X0,implies(X1,X2)),or(X0,or(X2,not(X1)))),implies(or(X0,implies(X1,X2)),or(X0,or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f683,f696]) ).
fof(f3580,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,and(implies(X2,not(X3)),X4))),or(X0,implies(or(and(X2,X3),not(X4)),not(X1))))) ),
inference(paramodulation,[status(thm)],[f596,f683]) ).
fof(f3581,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f683]) ).
fof(f3584,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),X5)),or(X0,or(X5,and(X1,or(and(X2,X3),not(X4))))))) ),
inference(paramodulation,[status(thm)],[f601,f683]) ).
fof(f3593,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(implies(X0,and(X0,X0)),not(X1))) ),
inference(resolution,[status(thm)],[f697,f668]) ).
fof(f3595,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,and(X2,X2))))) ),
inference(resolution,[status(thm)],[f697,f568]) ).
fof(f3597,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ81_spl
| is_a_theorem(not(not(implies(X0,implies(X1,and(X1,X1)))))) ),
inference(resolution,[status(thm)],[f697,f2548]) ).
fof(f3601,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(and(X0,X1),implies(X2,and(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f566,f697]) ).
fof(f3603,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,implies(implies(X1,X1),equiv(X1,X1)))) ),
inference(paramodulation,[status(thm)],[f493,f697]) ).
fof(f3610,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(implies(X0,X1),or(X1,not(X0))),not(X2))) ),
inference(resolution,[status(thm)],[f685,f668]) ).
fof(f3612,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(implies(X2,X3),or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f685,f568]) ).
fof(f3613,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X1,X2),or(X2,not(X1))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f685,f176]) ).
fof(f3614,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,implies(implies(X1,X2),or(X2,not(X1))))))) ),
inference(resolution,[status(thm)],[f685,f2548]) ).
fof(f3615,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,X3),or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f685,f588]) ).
fof(f3616,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f685,f591]) ).
fof(f3617,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(implies(X1,X2),or(X2,not(X1)))),implies(X0,implies(implies(X1,X2),or(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f685,f696]) ).
fof(f3618,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(or(and(X0,X1),implies(implies(X2,X3),or(X3,not(X2))))) ),
inference(paramodulation,[status(thm)],[f566,f685]) ).
fof(f3621,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),implies(or(and(X2,X3),not(X4)),not(X1))))) ),
inference(paramodulation,[status(thm)],[f596,f685]) ).
fof(f3622,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(X1,not(X2)),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f685]) ).
fof(f3625,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,and(implies(X2,not(X3)),X4)),X5),or(X5,and(X1,or(and(X2,X3),not(X4))))))) ),
inference(paramodulation,[status(thm)],[f601,f685]) ).
fof(f3627,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| sQ96_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3613,f1022,f3415,f431,f485,f220,f175]) ).
fof(f3633,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))),not(X3))) ),
inference(resolution,[status(thm)],[f653,f668]) ).
fof(f3635,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(implies(X2,X3),implies(or(X4,X2),or(X4,X3)))))) ),
inference(resolution,[status(thm)],[f653,f568]) ).
fof(f3637,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))))) ),
inference(resolution,[status(thm)],[f653,f2548]) ).
fof(f3638,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,X3),implies(or(X4,X2),or(X4,X3)))))) ),
inference(resolution,[status(thm)],[f653,f588]) ).
fof(f3639,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(or(X4,X2),or(X4,X3)))))) ),
inference(resolution,[status(thm)],[f653,f591]) ).
fof(f3640,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),implies(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))))) ),
inference(resolution,[status(thm)],[f653,f696]) ).
fof(f3641,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(implies(X2,X3),implies(or(X4,X2),or(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f566,f653]) ).
fof(f3653,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| is_a_theorem(not(not(and(equiv(X0,X0),equiv(X0,X0))))) ),
inference(resolution,[status(thm)],[f1658,f2548]) ).
fof(f3654,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,and(equiv(X1,X1),equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f1658,f588]) ).
fof(f3655,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,and(equiv(X1,X1),equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f1658,f591]) ).
fof(f3656,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(and(equiv(X0,X0),equiv(X0,X0)),and(equiv(X0,X0),equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f1658,f696]) ).
fof(f3657,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))),not(X3))) ),
inference(resolution,[status(thm)],[f652,f668]) ).
fof(f3659,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(implies(X2,X3),implies(implies(X4,X2),implies(X4,X3)))))) ),
inference(resolution,[status(thm)],[f652,f568]) ).
fof(f3660,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f652,f176]) ).
fof(f3661,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))))) ),
inference(resolution,[status(thm)],[f652,f2548]) ).
fof(f3662,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,X3),implies(implies(X4,X2),implies(X4,X3)))))) ),
inference(resolution,[status(thm)],[f652,f588]) ).
fof(f3663,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(implies(X4,X2),implies(X4,X3)))))) ),
inference(resolution,[status(thm)],[f652,f591]) ).
fof(f3664,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))))) ),
inference(resolution,[status(thm)],[f652,f696]) ).
fof(f3665,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(implies(X2,X3),implies(implies(X4,X2),implies(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f566,f652]) ).
fof(f3671,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ13_spl
| sQ90_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3660,f1022,f1504,f220,f453,f485,f175]) ).
fof(f3674,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(or(X0,not(X1)),implies(X1,X0)),not(X2))) ),
inference(resolution,[status(thm)],[f708,f668]) ).
fof(f3676,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f708,f568]) ).
fof(f3677,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X1,not(X2)),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f708,f176]) ).
fof(f3678,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,implies(or(X1,not(X2)),implies(X2,X1)))))) ),
inference(resolution,[status(thm)],[f708,f2548]) ).
fof(f3679,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(X1,implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f708,f588]) ).
fof(f3680,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(X1,implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f708,f591]) ).
fof(f3681,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,implies(or(X1,not(X2)),implies(X2,X1))),implies(X0,implies(or(X1,not(X2)),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f708,f696]) ).
fof(f3682,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(or(and(X0,X1),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f566,f708]) ).
fof(f3683,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(or(and(X1,X2),not(X3)),not(X4)),implies(X4,and(implies(X1,not(X2)),X3))))) ),
inference(paramodulation,[status(thm)],[f596,f708]) ).
fof(f3684,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(X1,not(X2)),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f708]) ).
fof(f3687,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(or(X1,and(X2,or(and(X3,X4),not(X5)))),implies(implies(X2,and(implies(X3,not(X4)),X5)),X1)))) ),
inference(paramodulation,[status(thm)],[f601,f708]) ).
fof(f3690,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| sQ97_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3677,f1022,f3442,f431,f485,f220,f175]) ).
fof(f3691,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(and(or(and(X1,X2),not(X3)),X4),implies(X4,and(implies(X1,not(X2)),X3))))) ),
inference(forward_demodulation,[status(thm)],[f566,f3683]) ).
fof(f3696,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f1241,f707]) ).
fof(f3697,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f1241,f636]) ).
fof(f3698,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f1241,f573]) ).
fof(f3701,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| is_a_theorem(not(not(or(implies(X0,and(X0,X0)),X1)))) ),
inference(resolution,[status(thm)],[f1241,f2548]) ).
fof(f3702,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f1241,f588]) ).
fof(f3703,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f1241,f591]) ).
fof(f3704,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(and(or(implies(X0,and(X0,X0)),X1),or(implies(X0,and(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f1241,f696]) ).
fof(f3705,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(and(X0,X1),and(implies(X0,not(X1)),implies(X0,not(X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f566,f1241]) ).
fof(f3706,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(implies(implies(X0,X0),equiv(X0,X0)),X1)) ),
inference(paramodulation,[status(thm)],[f493,f1241]) ).
fof(f3708,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(and(X0,X1),not(implies(implies(X0,not(X1)),and(X0,X1)))),X2)) ),
inference(forward_demodulation,[status(thm)],[f565,f3705]) ).
fof(f3709,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(and(X0,X1),not(or(and(X0,X1),and(X0,X1)))),X2)) ),
inference(forward_demodulation,[status(thm)],[f566,f3708]) ).
fof(f3712,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2))),not(X3))) ),
inference(resolution,[status(thm)],[f658,f668]) ).
fof(f3714,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(X2,implies(X3,X4)),implies(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f658,f568]) ).
fof(f3715,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f658,f176]) ).
fof(f3716,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3))))))) ),
inference(resolution,[status(thm)],[f658,f2548]) ).
fof(f3717,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,implies(or(X2,implies(X3,X4)),implies(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f658,f588]) ).
fof(f3718,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,implies(or(X2,implies(X3,X4)),implies(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f658,f591]) ).
fof(f3719,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3)))),implies(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3)))))) ),
inference(resolution,[status(thm)],[f658,f696]) ).
fof(f3720,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| is_a_theorem(or(and(X0,X1),implies(or(X2,implies(X3,X4)),implies(X3,or(X2,X4))))) ),
inference(paramodulation,[status(thm)],[f566,f658]) ).
fof(f3727,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| sQ98_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3715,f1022,f3481,f442,f485,f220,f175]) ).
fof(f3734,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,X0),implies(X1,not(X0)))) ),
inference(resolution,[status(thm)],[f670,f635]) ).
fof(f3735,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(or(and(X0,X0),not(X0)),not(X1))) ),
inference(resolution,[status(thm)],[f670,f668]) ).
fof(f3737,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(or(X0,X1),or(X0,or(and(X2,X2),not(X2))))) ),
inference(resolution,[status(thm)],[f670,f568]) ).
fof(f3738,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X1,X1),not(X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f670,f176]) ).
fof(f3739,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ81_spl
| is_a_theorem(not(not(implies(X0,or(and(X1,X1),not(X1)))))) ),
inference(resolution,[status(thm)],[f670,f2548]) ).
fof(f3740,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,implies(X1,or(and(X2,X2),not(X2))))) ),
inference(resolution,[status(thm)],[f670,f588]) ).
fof(f3741,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,implies(X1,or(and(X2,X2),not(X2))))) ),
inference(resolution,[status(thm)],[f670,f591]) ).
fof(f3742,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| is_a_theorem(and(implies(X0,or(and(X1,X1),not(X1))),implies(X0,or(and(X1,X1),not(X1))))) ),
inference(resolution,[status(thm)],[f670,f696]) ).
fof(f3743,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| is_a_theorem(or(and(X0,X1),or(and(X2,X2),not(X2)))) ),
inference(paramodulation,[status(thm)],[f566,f670]) ).
fof(f3745,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,or(equiv(X1,X1),not(implies(X1,X1))))) ),
inference(paramodulation,[status(thm)],[f493,f670]) ).
fof(f3749,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| is_a_theorem(implies(X0,or(and(implies(X1,and(implies(X2,not(X3)),X4)),implies(X1,and(implies(X2,not(X3)),X4))),and(X1,or(and(X2,X3),not(X4)))))) ),
inference(paramodulation,[status(thm)],[f601,f670]) ).
fof(f3751,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| sQ95_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3738,f1022,f3366,f471,f412,f485,f220,f175]) ).
fof(f3761,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,and(implies(X2,not(X3)),X4)),and(X1,or(and(X2,X3),not(X4)))),and(X1,or(and(X2,X3),not(X4)))))) ),
inference(forward_demodulation,[status(thm)],[f902,f3749]) ).
fof(f3764,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X2,X2),X3))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f1698,f605]) ).
fof(f3765,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,or(implies(X3,X3),X4)))) ),
inference(resolution,[status(thm)],[f1698,f616]) ).
fof(f3767,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ85_spl
| is_a_theorem(or(or(implies(X0,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f1698,f582]) ).
fof(f3769,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,or(implies(X1,X1),X2))))) ),
inference(resolution,[status(thm)],[f1698,f2548]) ).
fof(f3770,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ85_spl
| is_a_theorem(or(X0,or(X1,or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1698,f588]) ).
fof(f3771,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| is_a_theorem(implies(X0,or(X1,or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1698,f591]) ).
fof(f3772,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,or(implies(X1,X1),X2)),or(X0,or(implies(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f1698,f696]) ).
fof(f3775,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(or(and(X1,X2),implies(X1,not(X2))),X3))) ),
inference(paramodulation,[status(thm)],[f566,f1698]) ).
fof(f3776,definition,
! [X2,X3] :
( sQ99_spl
<=> is_a_theorem(or(implies(X2,X2),X3)) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f3777,plain,
! [X0,X1] :
( ~ sQ99_spl
| is_a_theorem(or(implies(X0,X0),X1)) ),
inference(component_clause,[status(thm)],[f3776]) ).
fof(f3779,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| sQ99_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f3764,f1005,f3776,f297,f431,f442,f175,f485,f471]) ).
fof(f3782,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(and(X0,X1),not(X2))),not(X3)) = not(or(and(and(implies(X0,not(X1)),X2),X3),and(not(X3),or(and(X0,X1),not(X2))))) ),
inference(paramodulation,[status(thm)],[f602,f716]) ).
fof(f3784,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,and(implies(X1,not(X2)),X3))),not(X4)) = not(or(and(and(X0,or(and(X1,X2),not(X3))),X4),and(not(X4),implies(X0,and(implies(X1,not(X2)),X3))))) ),
inference(paramodulation,[status(thm)],[f601,f716]) ).
fof(f3792,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(and(not(X0),X0),equiv(not(X0),not(X0)))) ),
inference(paramodulation,[status(thm)],[f716,f2432]) ).
fof(f3798,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,equiv(not(X1),not(X2))),or(and(not(X1),X2),and(not(X2),X1)))) ),
inference(paramodulation,[status(thm)],[f716,f3312]) ).
fof(f3801,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(X0,equiv(not(X1),not(X2))),or(and(not(X1),X2),and(not(X2),X1)))) ),
inference(paramodulation,[status(thm)],[f716,f3229]) ).
fof(f3803,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ70_spl
| is_a_theorem(or(and(or(and(not(X0),X1),and(not(X1),X0)),X2),implies(X2,equiv(not(X0),not(X1))))) ),
inference(paramodulation,[status(thm)],[f716,f691]) ).
fof(f3804,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(or(and(not(X0),X1),and(not(X1),X0)),implies(X2,equiv(not(X0),not(X1))))) ),
inference(paramodulation,[status(thm)],[f716,f3161]) ).
fof(f3805,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(or(or(and(not(X0),X1),and(not(X1),X0)),equiv(not(X0),not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f716,f3097]) ).
fof(f3806,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(or(and(not(X0),X1),and(not(X1),X0)),or(X2,equiv(not(X0),not(X1))))) ),
inference(paramodulation,[status(thm)],[f716,f3096]) ).
fof(f3807,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(or(and(not(X1),X2),and(not(X2),X1)),equiv(not(X1),not(X2))))) ),
inference(paramodulation,[status(thm)],[f716,f2475]) ).
fof(f3809,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(or(and(not(X1),X2),and(not(X2),X1)),equiv(not(X1),not(X2))))) ),
inference(paramodulation,[status(thm)],[f716,f2474]) ).
fof(f3810,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,or(and(not(X1),X2),and(not(X2),X1))),equiv(not(X1),not(X2)))) ),
inference(paramodulation,[status(thm)],[f716,f2436]) ).
fof(f3811,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(X0,or(and(not(X1),X2),and(not(X2),X1))),equiv(not(X1),not(X2)))) ),
inference(paramodulation,[status(thm)],[f716,f2434]) ).
fof(f3815,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(or(and(not(X0),X1),and(not(X1),X0)),equiv(not(X0),not(X1))))) ),
inference(paramodulation,[status(thm)],[f716,f2646]) ).
fof(f3820,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(or(and(not(X0),X1),and(not(X1),X0)),equiv(not(X0),not(X1)))) ),
inference(paramodulation,[status(thm)],[f716,f2438]) ).
fof(f3835,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,or(and(not(X1),X2),and(not(X2),X1))) = not(implies(X0,equiv(not(X1),not(X2)))) ),
inference(paramodulation,[status(thm)],[f716,f530]) ).
fof(f3836,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(or(and(not(X0),X1),and(not(X1),X0)),X2) = or(equiv(not(X0),not(X1)),X2) ),
inference(paramodulation,[status(thm)],[f716,f486]) ).
fof(f3841,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(and(implies(X0,not(X1)),X2),not(X3)) = not(or(and(and(implies(X0,not(X1)),X2),X3),and(not(X3),or(and(X0,X1),not(X2))))) ),
inference(forward_demodulation,[status(thm)],[f602,f3782]) ).
fof(f3845,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(and(X0,or(and(X1,X2),not(X3))),not(X4)) = not(or(and(and(X0,or(and(X1,X2),not(X3))),X4),and(not(X4),implies(X0,and(implies(X1,not(X2)),X3))))) ),
inference(forward_demodulation,[status(thm)],[f601,f3784]) ).
fof(f3903,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(implies(not(implies(X0,X1)),implies(X1,X0)),equiv(X1,X0))),implies(equiv(X1,X0),implies(not(implies(X0,X1)),implies(X1,X0)))) = not(implies(implies(equiv(not(implies(X0,X1)),implies(X1,X0)),implies(equiv(X1,X0),implies(not(implies(X0,X1)),implies(X1,X0)))),equiv(equiv(X1,X0),implies(not(implies(X0,X1)),implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f719,f719]) ).
fof(f3904,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(implies(not(X0),X1),and(X1,X0))),implies(and(X1,X0),implies(not(X0),X1))) = not(implies(implies(equiv(not(X0),X1),implies(and(X1,X0),implies(not(X0),X1))),equiv(and(X1,X0),implies(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f592,f719]) ).
fof(f3905,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,and(implies(X1,not(X2)),X3))),implies(and(implies(X1,not(X2)),X3),X0)) = not(implies(implies(and(X0,or(and(X1,X2),not(X3))),implies(and(implies(X1,not(X2)),X3),X0)),equiv(and(implies(X1,not(X2)),X3),X0))) ),
inference(paramodulation,[status(thm)],[f601,f719]) ).
fof(f3906,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,not(X1))),implies(not(X1),X0)) = not(implies(implies(and(X0,X1),implies(not(X1),X0)),equiv(not(X1),X0))) ),
inference(paramodulation,[status(thm)],[f530,f719]) ).
fof(f3916,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,equiv(not(implies(X1,X2)),implies(X2,X1))),implies(implies(not(implies(X1,X2)),implies(X2,X1)),equiv(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f719,f3312]) ).
fof(f3919,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(X0,equiv(not(implies(X1,X2)),implies(X2,X1))),implies(implies(not(implies(X1,X2)),implies(X2,X1)),equiv(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f719,f3229]) ).
fof(f3921,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(and(implies(implies(not(implies(X0,X1)),implies(X1,X0)),equiv(X1,X0)),X2),implies(X2,equiv(not(implies(X0,X1)),implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f719,f691]) ).
fof(f3922,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(not(implies(X0,X1)),implies(X1,X0)),equiv(X1,X0)),implies(X2,equiv(not(implies(X0,X1)),implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f719,f3161]) ).
fof(f3923,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(or(implies(implies(not(implies(X0,X1)),implies(X1,X0)),equiv(X1,X0)),equiv(not(implies(X0,X1)),implies(X1,X0))),X2)) ),
inference(paramodulation,[status(thm)],[f719,f3097]) ).
fof(f3924,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(not(implies(X0,X1)),implies(X1,X0)),equiv(X1,X0)),or(X2,equiv(not(implies(X0,X1)),implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f719,f3096]) ).
fof(f3925,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(implies(implies(not(implies(X1,X2)),implies(X2,X1)),equiv(X2,X1)),equiv(not(implies(X1,X2)),implies(X2,X1))))) ),
inference(paramodulation,[status(thm)],[f719,f2475]) ).
fof(f3927,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(implies(implies(not(implies(X1,X2)),implies(X2,X1)),equiv(X2,X1)),equiv(not(implies(X1,X2)),implies(X2,X1))))) ),
inference(paramodulation,[status(thm)],[f719,f2474]) ).
fof(f3928,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,implies(implies(not(implies(X1,X2)),implies(X2,X1)),equiv(X2,X1))),equiv(not(implies(X1,X2)),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f719,f2436]) ).
fof(f3929,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(X0,implies(implies(not(implies(X1,X2)),implies(X2,X1)),equiv(X2,X1))),equiv(not(implies(X1,X2)),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f719,f2434]) ).
fof(f3933,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(implies(implies(not(implies(X0,X1)),implies(X1,X0)),equiv(X1,X0)),equiv(not(implies(X0,X1)),implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f719,f2646]) ).
fof(f3938,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(not(implies(X0,X1)),implies(X1,X0)),equiv(X1,X0)),equiv(not(implies(X0,X1)),implies(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f719,f2438]) ).
fof(f3953,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(X0,implies(implies(not(implies(X1,X2)),implies(X2,X1)),equiv(X2,X1))) = not(implies(X0,equiv(not(implies(X1,X2)),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f719,f530]) ).
fof(f3954,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| implies(implies(implies(not(implies(X0,X1)),implies(X1,X0)),equiv(X1,X0)),X2) = or(equiv(not(implies(X0,X1)),implies(X1,X0)),X2) ),
inference(paramodulation,[status(thm)],[f719,f486]) ).
fof(f3955,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(equiv(not(implies(X0,X1)),implies(X1,X0)),implies(equiv(X1,X0),implies(not(implies(X0,X1)),implies(X1,X0)))) = not(implies(implies(equiv(not(implies(X0,X1)),implies(X1,X0)),implies(equiv(X1,X0),implies(not(implies(X0,X1)),implies(X1,X0)))),equiv(equiv(X1,X0),implies(not(implies(X0,X1)),implies(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f719,f3903]) ).
fof(f3956,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(equiv(not(X0),X1),implies(and(X1,X0),implies(not(X0),X1))) = not(implies(implies(equiv(not(X0),X1),implies(and(X1,X0),implies(not(X0),X1))),equiv(and(X1,X0),implies(not(X0),X1)))) ),
inference(forward_demodulation,[status(thm)],[f592,f3904]) ).
fof(f3957,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(and(X0,or(and(X1,X2),not(X3))),implies(and(implies(X1,not(X2)),X3),X0)) = not(implies(implies(and(X0,or(and(X1,X2),not(X3))),implies(and(implies(X1,not(X2)),X3),X0)),equiv(and(implies(X1,not(X2)),X3),X0))) ),
inference(forward_demodulation,[status(thm)],[f601,f3905]) ).
fof(f3958,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(and(X0,X1),implies(not(X1),X0)) = not(implies(implies(and(X0,X1),implies(not(X1),X0)),equiv(not(X1),X0))) ),
inference(forward_demodulation,[status(thm)],[f530,f3906]) ).
fof(f4003,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(X2,implies(X3,X3)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f1560,f605]) ).
fof(f4004,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,or(X3,implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f1560,f616]) ).
fof(f4006,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(or(X0,implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f1560,f582]) ).
fof(f4008,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,or(X1,implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1560,f2548]) ).
fof(f4009,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1560,f588]) ).
fof(f4010,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1560,f591]) ).
fof(f4011,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(or(X0,or(X1,implies(X2,X2))),or(X0,or(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1560,f696]) ).
fof(f4012,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),or(X3,implies(X4,X4)))) ),
inference(paramodulation,[status(thm)],[f596,f1560]) ).
fof(f4013,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f486,f1560]) ).
fof(f4016,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,or(and(X2,X3),implies(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f566,f1560]) ).
fof(f4017,definition,
! [X2,X3] :
( sQ100_spl
<=> is_a_theorem(or(X2,implies(X3,X3))) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f4018,plain,
! [X0,X1] :
( ~ sQ100_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(component_clause,[status(thm)],[f4017]) ).
fof(f4020,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| sQ100_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f4003,f1005,f4017,f442,f297,f175,f485,f471]) ).
fof(f4024,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(and(implies(X1,not(X2)),X3),X4),and(X4,or(and(X1,X2),not(X3))))) = not(implies(X0,equiv(not(or(and(X1,X2),not(X3))),X4))) ),
inference(paramodulation,[status(thm)],[f602,f726]) ).
fof(f4027,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(and(X1,or(and(X2,X3),not(X4))),X5),and(X5,implies(X1,and(implies(X2,not(X3)),X4))))) = not(implies(X0,equiv(not(implies(X1,and(implies(X2,not(X3)),X4))),X5))) ),
inference(paramodulation,[status(thm)],[f601,f726]) ).
fof(f4029,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),equiv(implies(X2,not(X3)),X1))) = not(implies(X0,equiv(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)))) ),
inference(paramodulation,[status(thm)],[f607,f726]) ).
fof(f4030,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),equiv(X3,implies(X1,not(X2))))) = not(implies(X0,equiv(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f606,f726]) ).
fof(f4064,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(and(implies(X1,not(X2)),X3),X4),and(X4,or(and(X1,X2),not(X3))))) = not(implies(X0,equiv(and(implies(X1,not(X2)),X3),X4))) ),
inference(forward_demodulation,[status(thm)],[f602,f4024]) ).
fof(f4071,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(and(X1,or(and(X2,X3),not(X4))),X5),and(X5,implies(X1,and(implies(X2,not(X3)),X4))))) = not(implies(X0,equiv(and(X1,or(and(X2,X3),not(X4))),X5))) ),
inference(forward_demodulation,[status(thm)],[f601,f4027]) ).
fof(f4142,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(and(implies(X0,not(X1)),X2),X3),and(X3,or(and(X0,X1),not(X2)))),X4) = or(equiv(not(or(and(X0,X1),not(X2))),X3),X4) ),
inference(paramodulation,[status(thm)],[f602,f727]) ).
fof(f4145,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(and(X0,or(and(X1,X2),not(X3))),X4),and(X4,implies(X0,and(implies(X1,not(X2)),X3)))),X5) = or(equiv(not(implies(X0,and(implies(X1,not(X2)),X3))),X4),X5) ),
inference(paramodulation,[status(thm)],[f601,f727]) ).
fof(f4147,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),equiv(implies(X1,not(X2)),X0)),X3) = or(equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),X3) ),
inference(paramodulation,[status(thm)],[f607,f727]) ).
fof(f4148,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),equiv(X2,implies(X0,not(X1)))),X3) = or(equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),X3) ),
inference(paramodulation,[status(thm)],[f606,f727]) ).
fof(f4152,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(equiv(not(X1),X2),or(and(X2,X1),not(implies(not(X1),X2)))))) ),
inference(paramodulation,[status(thm)],[f727,f685]) ).
fof(f4153,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(equiv(not(X1),X2),or(and(X2,X1),not(implies(not(X1),X2)))))) ),
inference(paramodulation,[status(thm)],[f727,f686]) ).
fof(f4154,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(not(X0),X1),or(and(X1,X0),not(implies(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f727,f583]) ).
fof(f4155,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(equiv(not(X1),X2),implies(implies(X3,implies(not(X1),X2)),implies(X3,and(X2,X1)))))) ),
inference(paramodulation,[status(thm)],[f727,f652]) ).
fof(f4156,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(equiv(not(X1),X2),implies(implies(X3,implies(not(X1),X2)),implies(X3,and(X2,X1)))))) ),
inference(paramodulation,[status(thm)],[f727,f629]) ).
fof(f4157,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(implies(X2,implies(not(X0),X1)),implies(X2,and(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f727,f571]) ).
fof(f4158,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(equiv(not(X1),X2),implies(or(X3,implies(not(X1),X2)),or(X3,and(X2,X1)))))) ),
inference(paramodulation,[status(thm)],[f727,f653]) ).
fof(f4159,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(equiv(not(X1),X2),implies(or(X3,implies(not(X1),X2)),or(X3,and(X2,X1)))))) ),
inference(paramodulation,[status(thm)],[f727,f630]) ).
fof(f4160,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(or(X2,implies(not(X0),X1)),or(X2,and(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f727,f454]) ).
fof(f4161,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(and(and(X0,X1),X2),or(equiv(not(X1),X0),implies(implies(not(X1),X0),not(X2))))) ),
inference(paramodulation,[status(thm)],[f727,f619]) ).
fof(f4162,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(and(X1,X2),X3),or(equiv(not(X2),X1),implies(implies(not(X2),X1),X3))))) ),
inference(paramodulation,[status(thm)],[f727,f652]) ).
fof(f4163,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(and(X1,X2),X3)),or(X0,or(equiv(not(X2),X1),implies(implies(not(X2),X1),X3))))) ),
inference(paramodulation,[status(thm)],[f727,f617]) ).
fof(f4164,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(and(X1,X2),X3),or(equiv(not(X2),X1),implies(implies(not(X2),X1),X3))))) ),
inference(paramodulation,[status(thm)],[f727,f629]) ).
fof(f4165,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(and(X0,X1),X2),or(equiv(not(X1),X0),implies(implies(not(X1),X0),X2)))) ),
inference(paramodulation,[status(thm)],[f727,f571]) ).
fof(f4167,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| is_a_theorem(or(equiv(not(X0),X1),or(and(X2,X2),not(X2)))) ),
inference(paramodulation,[status(thm)],[f727,f670]) ).
fof(f4172,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(equiv(not(X1),X2),or(X3,implies(implies(not(X1),X2),and(X2,X1)))))) ),
inference(paramodulation,[status(thm)],[f727,f655]) ).
fof(f4175,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,or(equiv(not(X1),X2),or(X3,implies(implies(not(X1),X2),and(X2,X1)))))) ),
inference(paramodulation,[status(thm)],[f727,f632]) ).
fof(f4177,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(or(equiv(not(X0),X1),or(X2,implies(implies(not(X0),X1),and(X1,X0)))),X3)) ),
inference(paramodulation,[status(thm)],[f727,f954]) ).
fof(f4180,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(or(equiv(not(X0),X1),or(X2,implies(implies(not(X0),X1),and(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f727,f298]) ).
fof(f4186,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(or(X2,implies(X3,X4)),implies(X3,or(X2,X4))))) ),
inference(paramodulation,[status(thm)],[f727,f658]) ).
fof(f4187,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f727,f708]) ).
fof(f4188,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(or(X2,or(X3,X4)),or(X3,or(X2,X4))))) ),
inference(paramodulation,[status(thm)],[f727,f648]) ).
fof(f4189,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(or(X2,X3),or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f727,f649]) ).
fof(f4190,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(or(X2,X2),X2))) ),
inference(paramodulation,[status(thm)],[f727,f650]) ).
fof(f4191,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(implies(X2,or(X3,X4)),or(X3,implies(X2,X4))))) ),
inference(paramodulation,[status(thm)],[f727,f651]) ).
fof(f4192,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(implies(X2,X3),implies(implies(X4,X2),implies(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f727,f652]) ).
fof(f4193,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(implies(X2,X3),implies(or(X4,X2),or(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f727,f653]) ).
fof(f4194,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(implies(X2,X3),or(X3,not(X2))))) ),
inference(paramodulation,[status(thm)],[f727,f685]) ).
fof(f4195,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(X2,and(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f727,f697]) ).
fof(f4196,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(X2,implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f727,f654]) ).
fof(f4199,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),or(equiv(not(X2),X3),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f727,f599]) ).
fof(f4200,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(X0,not(X1)),implies(implies(not(X2),X3),and(X3,X2))) = and(or(and(X0,X1),implies(implies(not(X2),X3),and(X3,X2))),or(equiv(not(X2),X3),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f727,f607]) ).
fof(f4201,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(not(X0),X1),and(X1,X0)),implies(X2,not(X3))) = and(or(equiv(not(X0),X1),implies(X2,not(X3))),or(and(X2,X3),implies(implies(not(X0),X1),and(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f727,f606]) ).
fof(f4202,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,or(equiv(not(X1),X2),implies(X3,implies(implies(not(X1),X2),and(X2,X1)))))) ),
inference(paramodulation,[status(thm)],[f727,f654]) ).
fof(f4203,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,implies(implies(implies(not(X1),X2),and(X2,X1)),X3)),or(equiv(not(X1),X2),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f727,f645]) ).
fof(f4205,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(equiv(not(X1),X2),implies(X3,implies(implies(not(X1),X2),and(X2,X1)))))) ),
inference(paramodulation,[status(thm)],[f727,f631]) ).
fof(f4206,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(or(equiv(not(X0),X1),implies(X2,implies(implies(not(X0),X1),and(X1,X0)))),X3)) ),
inference(paramodulation,[status(thm)],[f727,f876]) ).
fof(f4208,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(X2,implies(implies(not(X0),X1),and(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f727,f221]) ).
fof(f4225,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(implies(not(X0),X1),and(X1,X0)),X2) = not(or(equiv(not(X0),X1),not(X2))) ),
inference(paramodulation,[status(thm)],[f727,f530]) ).
fof(f4226,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,or(equiv(not(X2),X3),implies(implies(not(X2),X3),and(X3,X2)))))) ),
inference(paramodulation,[status(thm)],[f727,f1560]) ).
fof(f4227,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(X0,implies(implies(not(X1),X2),and(X2,X1)))),implies(implies(implies(not(X1),X2),and(X2,X1)),X0)) = not(implies(implies(not(implies(X0,implies(implies(not(X1),X2),and(X2,X1)))),or(equiv(not(X1),X2),X0)),equiv(implies(implies(not(X1),X2),and(X2,X1)),X0))) ),
inference(paramodulation,[status(thm)],[f727,f719]) ).
fof(f4228,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(implies(implies(not(X0),X1),and(X1,X0)),X2)),implies(X2,implies(implies(not(X0),X1),and(X1,X0)))) = not(implies(implies(not(or(equiv(not(X0),X1),X2)),implies(X2,implies(implies(not(X0),X1),and(X1,X0)))),equiv(X2,implies(implies(not(X0),X1),and(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f727,f719]) ).
fof(f4229,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(or(equiv(not(X1),X2),implies(implies(not(X1),X2),and(X2,X1))),X3))) ),
inference(paramodulation,[status(thm)],[f727,f1698]) ).
fof(f4234,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(or(equiv(not(X1),X2),X3),implies(implies(X4,implies(implies(not(X1),X2),and(X2,X1))),implies(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f727,f652]) ).
fof(f4235,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(or(equiv(not(X1),X2),X3),implies(or(X4,implies(implies(not(X1),X2),and(X2,X1))),or(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f727,f653]) ).
fof(f4243,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(equiv(not(X2),X3),X1)))) ),
inference(paramodulation,[status(thm)],[f727,f654]) ).
fof(f4246,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(equiv(not(X1),X2),X3)),implies(implies(implies(not(X1),X2),and(X2,X1)),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f727,f645]) ).
fof(f4248,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,X1),or(X0,or(equiv(not(X2),X3),X1)))) ),
inference(paramodulation,[status(thm)],[f727,f614]) ).
fof(f4249,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(equiv(not(X0),X1),X2),not(X2))) ),
inference(paramodulation,[status(thm)],[f727,f2436]) ).
fof(f4250,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| is_a_theorem(implies(or(X0,or(equiv(not(X1),X2),X3)),or(X0,implies(or(X4,implies(implies(not(X1),X2),and(X2,X1))),or(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f727,f613]) ).
fof(f4253,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,or(equiv(not(X1),X2),X3)),or(X0,implies(implies(X4,implies(implies(not(X1),X2),and(X2,X1))),implies(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f727,f617]) ).
fof(f4257,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(equiv(not(X0),X1),implies(implies(not(X0),X1),and(X1,X0)))))) ),
inference(paramodulation,[status(thm)],[f727,f2643]) ).
fof(f4260,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(or(equiv(not(X1),X2),X3),implies(implies(X4,implies(implies(not(X1),X2),and(X2,X1))),implies(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f727,f629]) ).
fof(f4261,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(or(equiv(not(X1),X2),X3),implies(or(X4,implies(implies(not(X1),X2),and(X2,X1))),or(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f727,f630]) ).
fof(f4266,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X3,implies(implies(not(X0),X1),and(X1,X0))),implies(X3,X2)))
| ~ is_a_theorem(or(equiv(not(X0),X1),X2)) ),
inference(paramodulation,[status(thm)],[f727,f618]) ).
fof(f4270,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(not(X0),X1),X2),implies(implies(X3,implies(implies(not(X0),X1),and(X1,X0))),implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f727,f571]) ).
fof(f4273,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(equiv(not(X1),X2),implies(implies(not(X1),X2),and(X2,X1))))) ),
inference(paramodulation,[status(thm)],[f727,f1562]) ).
fof(f4275,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X3,implies(implies(not(X0),X1),and(X1,X0))),or(X3,X2)))
| ~ is_a_theorem(or(equiv(not(X0),X1),X2)) ),
inference(paramodulation,[status(thm)],[f727,f568]) ).
fof(f4276,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(equiv(not(X1),X2),X0))) ),
inference(paramodulation,[status(thm)],[f727,f221]) ).
fof(f4277,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(not(X0),X1),X2),implies(or(X3,implies(implies(not(X0),X1),and(X1,X0))),or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f727,f454]) ).
fof(f4278,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(equiv(not(X1),X2),implies(implies(not(X1),X2),and(X2,X1))))) ),
inference(paramodulation,[status(thm)],[f727,f1548]) ).
fof(f4279,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(or(equiv(not(X0),X1),implies(implies(not(X0),X1),and(X1,X0))),X2)) ),
inference(paramodulation,[status(thm)],[f727,f1556]) ).
fof(f4280,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(implies(not(X0),X1),and(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f727,f1557]) ).
fof(f4281,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X2)
| ~ is_a_theorem(or(equiv(not(X0),X1),X2))
| ~ is_a_theorem(implies(implies(not(X0),X1),and(X1,X0))) ),
inference(paramodulation,[status(thm)],[f727,f176]) ).
fof(f4282,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(not(X1),X2),and(X2,X1))) = and(implies(X0,implies(implies(not(X1),X2),and(X2,X1))),or(equiv(not(X1),X2),X0)) ),
inference(paramodulation,[status(thm)],[f727,f493]) ).
fof(f4283,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(not(X0),X1),and(X1,X0)),X2) = and(or(equiv(not(X0),X1),X2),implies(X2,implies(implies(not(X0),X1),and(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f727,f493]) ).
fof(f4287,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(and(implies(X0,not(X1)),X2),X3),and(X3,or(and(X0,X1),not(X2)))),X4) = or(equiv(and(implies(X0,not(X1)),X2),X3),X4) ),
inference(forward_demodulation,[status(thm)],[f602,f4142]) ).
fof(f4294,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(and(X0,or(and(X1,X2),not(X3))),X4),and(X4,implies(X0,and(implies(X1,not(X2)),X3)))),X5) = or(equiv(and(X0,or(and(X1,X2),not(X3))),X4),X5) ),
inference(forward_demodulation,[status(thm)],[f601,f4145]) ).
fof(f4321,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(equiv(not(X1),X2),X3)),or(equiv(not(X1),X2),implies(X0,X3)))) ),
inference(forward_demodulation,[status(thm)],[f727,f4203]) ).
fof(f4344,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(X0,implies(implies(not(X1),X2),and(X2,X1)))),or(equiv(not(X1),X2),X0)) = not(implies(implies(not(implies(X0,implies(implies(not(X1),X2),and(X2,X1)))),or(equiv(not(X1),X2),X0)),equiv(implies(implies(not(X1),X2),and(X2,X1)),X0))) ),
inference(forward_demodulation,[status(thm)],[f727,f4227]) ).
fof(f4345,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(or(equiv(not(X0),X1),X2)),implies(X2,implies(implies(not(X0),X1),and(X1,X0)))) = not(implies(implies(not(or(equiv(not(X0),X1),X2)),implies(X2,implies(implies(not(X0),X1),and(X1,X0)))),equiv(X2,implies(implies(not(X0),X1),and(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f727,f4228]) ).
fof(f4359,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(equiv(not(X1),X2),X3)),or(equiv(not(X1),X2),implies(X0,X3)))) ),
inference(forward_demodulation,[status(thm)],[f727,f4246]) ).
fof(f4376,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(and(X0,X1),X2),X2))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f1613,f605]) ).
fof(f4377,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(and(X1,X2),X3),X3)))) ),
inference(resolution,[status(thm)],[f1613,f616]) ).
fof(f4379,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(or(X0,X1),X1),X0)) ),
inference(resolution,[status(thm)],[f1613,f582]) ).
fof(f4380,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,implies(or(X0,X1),X1))))) ),
inference(resolution,[status(thm)],[f1613,f2548]) ).
fof(f4381,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,or(X1,implies(or(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1613,f588]) ).
fof(f4382,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(or(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1613,f591]) ).
fof(f4383,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ34_spl
| is_a_theorem(and(or(X0,implies(or(X0,X1),X1)),or(X0,implies(or(X0,X1),X1)))) ),
inference(resolution,[status(thm)],[f1613,f696]) ).
fof(f4385,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(or(not(X0),X1),X1))) ),
inference(paramodulation,[status(thm)],[f486,f1613]) ).
fof(f4389,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X0,X1),X1))) ),
inference(forward_demodulation,[status(thm)],[f486,f4385]) ).
fof(f4393,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(or(equiv(implies(X0,not(X1)),X2),not(implies(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2)))),X3) = or(equiv(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3) ),
inference(paramodulation,[status(thm)],[f607,f755]) ).
fof(f4394,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(or(equiv(X0,implies(X1,not(X2))),not(implies(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2)))))),X3) = or(equiv(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3) ),
inference(paramodulation,[status(thm)],[f606,f755]) ).
fof(f4395,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| implies(or(equiv(X0,X1),not(implies(not(implies(X1,X0)),implies(X0,X1)))),X2) = or(equiv(implies(X0,X1),not(implies(X1,X0))),X2) ),
inference(paramodulation,[status(thm)],[f493,f755]) ).
fof(f4398,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(or(and(and(implies(X0,not(X1)),X2),X3),and(not(X3),or(and(X0,X1),not(X2)))),X4) = or(equiv(and(implies(X0,not(X1)),X2),not(X3)),X4) ),
inference(paramodulation,[status(thm)],[f601,f755]) ).
fof(f4408,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(equiv(X1,not(X2)),implies(implies(not(X2),X1),and(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f755,f708]) ).
fof(f4409,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(equiv(X1,not(X2)),implies(implies(not(X2),X1),and(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f755,f709]) ).
fof(f4410,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(implies(not(X1),X0),and(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f755,f584]) ).
fof(f4411,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(X0,not(X1)),or(and(X0,X1),implies(X2,not(implies(not(X1),X0)))))) ),
inference(paramodulation,[status(thm)],[f755,f614]) ).
fof(f4412,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(X0,not(X1)),or(and(X0,X1),or(X2,not(implies(not(X1),X0)))))) ),
inference(paramodulation,[status(thm)],[f755,f615]) ).
fof(f4413,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(and(not(implies(not(X0),X1)),X2),or(equiv(X1,not(X0)),or(and(X1,X0),not(X2))))) ),
inference(paramodulation,[status(thm)],[f755,f598]) ).
fof(f4414,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(not(implies(not(X1),X2)),X3),or(equiv(X2,not(X1)),or(and(X2,X1),X3))))) ),
inference(paramodulation,[status(thm)],[f755,f653]) ).
fof(f4416,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| is_a_theorem(implies(or(X0,implies(not(implies(not(X1),X2)),X3)),or(X0,or(equiv(X2,not(X1)),or(and(X2,X1),X3))))) ),
inference(paramodulation,[status(thm)],[f755,f613]) ).
fof(f4418,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(not(implies(not(X1),X2)),X3),or(equiv(X2,not(X1)),or(and(X2,X1),X3))))) ),
inference(paramodulation,[status(thm)],[f755,f630]) ).
fof(f4419,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(not(implies(not(X0),X1)),X2),or(equiv(X1,not(X0)),or(and(X1,X0),X2)))) ),
inference(paramodulation,[status(thm)],[f755,f454]) ).
fof(f4421,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(and(X0,X1),or(equiv(X0,not(X1)),not(implies(not(X1),X0))))) ),
inference(paramodulation,[status(thm)],[f755,f1613]) ).
fof(f4423,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| is_a_theorem(or(equiv(X0,not(X1)),or(and(X2,X2),not(X2)))) ),
inference(paramodulation,[status(thm)],[f755,f670]) ).
fof(f4428,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(equiv(X1,not(X2)),or(X3,or(and(X1,X2),not(implies(not(X2),X1))))))) ),
inference(paramodulation,[status(thm)],[f755,f655]) ).
fof(f4431,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,or(equiv(X1,not(X2)),or(X3,or(and(X1,X2),not(implies(not(X2),X1))))))) ),
inference(paramodulation,[status(thm)],[f755,f632]) ).
fof(f4433,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(or(equiv(X0,not(X1)),or(X2,or(and(X0,X1),not(implies(not(X1),X0))))),X3)) ),
inference(paramodulation,[status(thm)],[f755,f954]) ).
fof(f4436,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(or(equiv(X0,not(X1)),or(X2,or(and(X0,X1),not(implies(not(X1),X0)))))) ),
inference(paramodulation,[status(thm)],[f755,f298]) ).
fof(f4442,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(or(X2,implies(X3,X4)),implies(X3,or(X2,X4))))) ),
inference(paramodulation,[status(thm)],[f755,f658]) ).
fof(f4443,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f755,f708]) ).
fof(f4444,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(or(X2,or(X3,X4)),or(X3,or(X2,X4))))) ),
inference(paramodulation,[status(thm)],[f755,f648]) ).
fof(f4445,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(or(X2,X3),or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f755,f649]) ).
fof(f4446,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(or(X2,X2),X2))) ),
inference(paramodulation,[status(thm)],[f755,f650]) ).
fof(f4447,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(implies(X2,or(X3,X4)),or(X3,implies(X2,X4))))) ),
inference(paramodulation,[status(thm)],[f755,f651]) ).
fof(f4448,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(implies(X2,X3),implies(implies(X4,X2),implies(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f755,f652]) ).
fof(f4449,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(implies(X2,X3),implies(or(X4,X2),or(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f755,f653]) ).
fof(f4450,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(implies(X2,X3),or(X3,not(X2))))) ),
inference(paramodulation,[status(thm)],[f755,f685]) ).
fof(f4451,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(X2,and(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f755,f697]) ).
fof(f4452,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(X2,implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f755,f654]) ).
fof(f4455,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),or(equiv(X2,not(X3)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f755,f599]) ).
fof(f4456,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(X0,not(X1)),or(and(X2,X3),not(implies(not(X3),X2)))) = and(or(and(X0,X1),or(and(X2,X3),not(implies(not(X3),X2)))),or(equiv(X2,not(X3)),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f755,f607]) ).
fof(f4457,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(or(and(X0,X1),not(implies(not(X1),X0))),implies(X2,not(X3))) = and(or(equiv(X0,not(X1)),implies(X2,not(X3))),or(and(X2,X3),or(and(X0,X1),not(implies(not(X1),X0))))) ),
inference(paramodulation,[status(thm)],[f755,f606]) ).
fof(f4458,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,or(equiv(X1,not(X2)),implies(X3,or(and(X1,X2),not(implies(not(X2),X1))))))) ),
inference(paramodulation,[status(thm)],[f755,f654]) ).
fof(f4459,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,implies(or(and(X1,X2),not(implies(not(X2),X1))),X3)),or(equiv(X1,not(X2)),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f755,f645]) ).
fof(f4461,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(equiv(X1,not(X2)),implies(X3,or(and(X1,X2),not(implies(not(X2),X1))))))) ),
inference(paramodulation,[status(thm)],[f755,f631]) ).
fof(f4462,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ34_spl
| is_a_theorem(or(or(equiv(X0,not(X1)),implies(X2,or(and(X0,X1),not(implies(not(X1),X0))))),X3)) ),
inference(paramodulation,[status(thm)],[f755,f876]) ).
fof(f4464,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(X2,or(and(X0,X1),not(implies(not(X1),X0)))))) ),
inference(paramodulation,[status(thm)],[f755,f221]) ).
fof(f4481,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(or(and(X0,X1),not(implies(not(X1),X0))),X2) = not(or(equiv(X0,not(X1)),not(X2))) ),
inference(paramodulation,[status(thm)],[f755,f530]) ).
fof(f4482,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,or(equiv(X2,not(X3)),or(and(X2,X3),not(implies(not(X3),X2))))))) ),
inference(paramodulation,[status(thm)],[f755,f1560]) ).
fof(f4483,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(X0,or(and(X1,X2),not(implies(not(X2),X1))))),implies(or(and(X1,X2),not(implies(not(X2),X1))),X0)) = not(implies(implies(not(implies(X0,or(and(X1,X2),not(implies(not(X2),X1))))),or(equiv(X1,not(X2)),X0)),equiv(or(and(X1,X2),not(implies(not(X2),X1))),X0))) ),
inference(paramodulation,[status(thm)],[f755,f719]) ).
fof(f4484,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(or(and(X0,X1),not(implies(not(X1),X0))),X2)),implies(X2,or(and(X0,X1),not(implies(not(X1),X0))))) = not(implies(implies(not(or(equiv(X0,not(X1)),X2)),implies(X2,or(and(X0,X1),not(implies(not(X1),X0))))),equiv(X2,or(and(X0,X1),not(implies(not(X1),X0)))))) ),
inference(paramodulation,[status(thm)],[f755,f719]) ).
fof(f4485,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(or(equiv(X1,not(X2)),or(and(X1,X2),not(implies(not(X2),X1)))),X3))) ),
inference(paramodulation,[status(thm)],[f755,f1698]) ).
fof(f4490,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(or(equiv(X1,not(X2)),X3),implies(implies(X4,or(and(X1,X2),not(implies(not(X2),X1)))),implies(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f755,f652]) ).
fof(f4491,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(or(equiv(X1,not(X2)),X3),implies(or(X4,or(and(X1,X2),not(implies(not(X2),X1)))),or(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f755,f653]) ).
fof(f4499,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(equiv(X2,not(X3)),X1)))) ),
inference(paramodulation,[status(thm)],[f755,f654]) ).
fof(f4502,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(equiv(X1,not(X2)),X3)),implies(or(and(X1,X2),not(implies(not(X2),X1))),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f755,f645]) ).
fof(f4504,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,X1),or(X0,or(equiv(X2,not(X3)),X1)))) ),
inference(paramodulation,[status(thm)],[f755,f614]) ).
fof(f4505,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(equiv(X0,not(X1)),X2),not(X2))) ),
inference(paramodulation,[status(thm)],[f755,f2436]) ).
fof(f4506,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| is_a_theorem(implies(or(X0,or(equiv(X1,not(X2)),X3)),or(X0,implies(or(X4,or(and(X1,X2),not(implies(not(X2),X1)))),or(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f755,f613]) ).
fof(f4509,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,or(equiv(X1,not(X2)),X3)),or(X0,implies(implies(X4,or(and(X1,X2),not(implies(not(X2),X1)))),implies(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f755,f617]) ).
fof(f4513,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(equiv(X0,not(X1)),or(and(X0,X1),not(implies(not(X1),X0))))))) ),
inference(paramodulation,[status(thm)],[f755,f2643]) ).
fof(f4516,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(or(equiv(X1,not(X2)),X3),implies(implies(X4,or(and(X1,X2),not(implies(not(X2),X1)))),implies(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f755,f629]) ).
fof(f4517,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(or(equiv(X1,not(X2)),X3),implies(or(X4,or(and(X1,X2),not(implies(not(X2),X1)))),or(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f755,f630]) ).
fof(f4522,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X3,or(and(X0,X1),not(implies(not(X1),X0)))),implies(X3,X2)))
| ~ is_a_theorem(or(equiv(X0,not(X1)),X2)) ),
inference(paramodulation,[status(thm)],[f755,f618]) ).
fof(f4526,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(X0,not(X1)),X2),implies(implies(X3,or(and(X0,X1),not(implies(not(X1),X0)))),implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f755,f571]) ).
fof(f4529,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(equiv(X1,not(X2)),or(and(X1,X2),not(implies(not(X2),X1)))))) ),
inference(paramodulation,[status(thm)],[f755,f1562]) ).
fof(f4531,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X3,or(and(X0,X1),not(implies(not(X1),X0)))),or(X3,X2)))
| ~ is_a_theorem(or(equiv(X0,not(X1)),X2)) ),
inference(paramodulation,[status(thm)],[f755,f568]) ).
fof(f4532,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(equiv(X1,not(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f755,f221]) ).
fof(f4533,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(X0,not(X1)),X2),implies(or(X3,or(and(X0,X1),not(implies(not(X1),X0)))),or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f755,f454]) ).
fof(f4534,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(equiv(X1,not(X2)),or(and(X1,X2),not(implies(not(X2),X1)))))) ),
inference(paramodulation,[status(thm)],[f755,f1548]) ).
fof(f4535,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(or(equiv(X0,not(X1)),or(and(X0,X1),not(implies(not(X1),X0)))),X2)) ),
inference(paramodulation,[status(thm)],[f755,f1556]) ).
fof(f4536,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(equiv(X0,not(X1)),or(and(X0,X1),not(implies(not(X1),X0))))) ),
inference(paramodulation,[status(thm)],[f755,f1557]) ).
fof(f4537,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X2)
| ~ is_a_theorem(or(equiv(X0,not(X1)),X2))
| ~ is_a_theorem(or(and(X0,X1),not(implies(not(X1),X0)))) ),
inference(paramodulation,[status(thm)],[f755,f176]) ).
fof(f4538,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,or(and(X1,X2),not(implies(not(X2),X1)))) = and(implies(X0,or(and(X1,X2),not(implies(not(X2),X1)))),or(equiv(X1,not(X2)),X0)) ),
inference(paramodulation,[status(thm)],[f755,f493]) ).
fof(f4539,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(or(and(X0,X1),not(implies(not(X1),X0))),X2) = and(or(equiv(X0,not(X1)),X2),implies(X2,or(and(X0,X1),not(implies(not(X1),X0))))) ),
inference(paramodulation,[status(thm)],[f755,f493]) ).
fof(f4591,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(equiv(X1,not(X2)),X3)),or(equiv(X1,not(X2)),implies(X0,X3)))) ),
inference(forward_demodulation,[status(thm)],[f755,f4459]) ).
fof(f4615,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(X0,or(and(X1,X2),not(implies(not(X2),X1))))),or(equiv(X1,not(X2)),X0)) = not(implies(implies(not(implies(X0,or(and(X1,X2),not(implies(not(X2),X1))))),or(equiv(X1,not(X2)),X0)),equiv(or(and(X1,X2),not(implies(not(X2),X1))),X0))) ),
inference(forward_demodulation,[status(thm)],[f755,f4483]) ).
fof(f4616,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(or(equiv(X0,not(X1)),X2)),implies(X2,or(and(X0,X1),not(implies(not(X1),X0))))) = not(implies(implies(not(or(equiv(X0,not(X1)),X2)),implies(X2,or(and(X0,X1),not(implies(not(X1),X0))))),equiv(X2,or(and(X0,X1),not(implies(not(X1),X0)))))) ),
inference(forward_demodulation,[status(thm)],[f755,f4484]) ).
fof(f4636,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(equiv(X1,not(X2)),X3)),or(equiv(X1,not(X2)),implies(X0,X3)))) ),
inference(forward_demodulation,[status(thm)],[f755,f4502]) ).
fof(f4792,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X2,and(X0,X1)),X2))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f1543,f605]) ).
fof(f4793,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(X3,and(X1,X2)),X3)))) ),
inference(resolution,[status(thm)],[f1543,f616]) ).
fof(f4795,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(or(X0,X1),X0),X1)) ),
inference(resolution,[status(thm)],[f1543,f582]) ).
fof(f4796,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,implies(or(X1,X0),X1))))) ),
inference(resolution,[status(thm)],[f1543,f2548]) ).
fof(f4797,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,implies(or(X2,X1),X2)))) ),
inference(resolution,[status(thm)],[f1543,f588]) ).
fof(f4798,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,implies(or(X2,X1),X2)))) ),
inference(resolution,[status(thm)],[f1543,f591]) ).
fof(f4799,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(and(or(X0,implies(or(X1,X0),X1)),or(X0,implies(or(X1,X0),X1)))) ),
inference(resolution,[status(thm)],[f1543,f696]) ).
fof(f4800,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(or(X3,and(implies(X0,not(X1)),X2)),X3))) ),
inference(paramodulation,[status(thm)],[f596,f1543]) ).
fof(f4801,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(or(X1,not(X0)),X1))) ),
inference(paramodulation,[status(thm)],[f486,f1543]) ).
fof(f4802,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(not(implies(not(X0),X1)),or(equiv(X1,not(X0)),and(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f755,f1543]) ).
fof(f4803,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(implies(or(and(X1,X2),not(X3)),X0),and(implies(X1,not(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f596,f1543]) ).
fof(f4805,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(not(X0),X1),or(equiv(X1,not(X0)),and(X1,X0)))) ),
inference(forward_demodulation,[status(thm)],[f486,f4802]) ).
fof(f4809,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,or(equiv(implies(X1,not(X2)),X3),not(implies(not(implies(X3,implies(X1,not(X2)))),or(and(X1,X2),X3))))) = not(implies(X0,equiv(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f607,f887]) ).
fof(f4811,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,or(equiv(X1,implies(X2,not(X3))),not(implies(not(or(and(X2,X3),X1)),implies(X1,implies(X2,not(X3))))))) = not(implies(X0,equiv(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))) ),
inference(paramodulation,[status(thm)],[f606,f887]) ).
fof(f4812,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(X0,or(equiv(X1,X2),not(implies(not(implies(X2,X1)),implies(X1,X2))))) = not(implies(X0,equiv(implies(X1,X2),not(implies(X2,X1))))) ),
inference(paramodulation,[status(thm)],[f493,f887]) ).
fof(f4816,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,or(and(and(implies(X1,not(X2)),X3),X4),and(not(X4),or(and(X1,X2),not(X3))))) = not(implies(X0,equiv(and(implies(X1,not(X2)),X3),not(X4)))) ),
inference(paramodulation,[status(thm)],[f601,f887]) ).
fof(f5028,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(implies(X1,and(implies(X2,not(X3)),X4)),not(X0)))) ),
inference(paramodulation,[status(thm)],[f902,f691]) ).
fof(f5046,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),not(X6)),implies(X6,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))) ),
inference(paramodulation,[status(thm)],[f902,f708]) ).
fof(f5047,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),implies(implies(X2,and(X3,or(and(X4,X5),not(X6)))),not(X1))))) ),
inference(paramodulation,[status(thm)],[f902,f685]) ).
fof(f5048,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6))))),or(X0,implies(implies(X2,and(X3,or(and(X4,X5),not(X6)))),not(X1))))) ),
inference(paramodulation,[status(thm)],[f902,f683]) ).
fof(f5049,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),not(X6))),or(X0,implies(X6,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))) ),
inference(paramodulation,[status(thm)],[f902,f706]) ).
fof(f5050,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),not(X6)),implies(X6,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))) ),
inference(paramodulation,[status(thm)],[f902,f709]) ).
fof(f5051,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),implies(implies(X2,and(X3,or(and(X4,X5),not(X6)))),not(X1))))) ),
inference(paramodulation,[status(thm)],[f902,f686]) ).
fof(f5052,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),not(X5)),X5)) ),
inference(paramodulation,[status(thm)],[f902,f3229]) ).
fof(f5053,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),not(and(X0,implies(X1,and(implies(X2,not(X3)),X4))))),X5)) ),
inference(paramodulation,[status(thm)],[f902,f3097]) ).
fof(f5054,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f902,f3096]) ).
fof(f5055,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),not(and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))) ),
inference(paramodulation,[status(thm)],[f902,f2475]) ).
fof(f5056,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),not(and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))) ),
inference(paramodulation,[status(thm)],[f902,f2474]) ).
fof(f5058,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),not(and(X0,implies(X1,and(implies(X2,not(X3)),X4)))))) ),
inference(paramodulation,[status(thm)],[f902,f2438]) ).
fof(f5059,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(implies(X5,and(X0,implies(X1,and(implies(X2,not(X3)),X4)))))
| ~ is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),not(X5))) ),
inference(paramodulation,[status(thm)],[f902,f707]) ).
fof(f5060,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f902,f583]) ).
fof(f5061,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),not(X5)),implies(X5,and(X0,implies(X1,and(implies(X2,not(X3)),X4)))))) ),
inference(paramodulation,[status(thm)],[f902,f584]) ).
fof(f5062,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),equiv(X5,X5))) ),
inference(paramodulation,[status(thm)],[f902,f1660]) ).
fof(f5064,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),or(and(X5,X5),not(X5)))) ),
inference(paramodulation,[status(thm)],[f902,f671]) ).
fof(f5067,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),or(X5,not(and(X0,implies(X1,and(implies(X2,not(X3)),X4))))))) ),
inference(paramodulation,[status(thm)],[f902,f3096]) ).
fof(f5068,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),or(X5,not(X5)))) ),
inference(paramodulation,[status(thm)],[f902,f2474]) ).
fof(f5071,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),or(X5,implies(X6,X6)))) ),
inference(paramodulation,[status(thm)],[f902,f1560]) ).
fof(f5086,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),or(X5,X6)),or(X5,or(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X6)))) ),
inference(paramodulation,[status(thm)],[f902,f443]) ).
fof(f5087,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(implies(X5,or(X6,X7)),or(X6,implies(X5,X7))))) ),
inference(paramodulation,[status(thm)],[f902,f639]) ).
fof(f5088,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(implies(X5,X6),or(X6,not(X5))))) ),
inference(paramodulation,[status(thm)],[f902,f686]) ).
fof(f5089,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(implies(X5,X6),implies(implies(X7,X5),implies(X7,X6))))) ),
inference(paramodulation,[status(thm)],[f902,f629]) ).
fof(f5090,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(implies(X5,X6),implies(or(X7,X5),or(X7,X6))))) ),
inference(paramodulation,[status(thm)],[f902,f630]) ).
fof(f5092,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(or(X5,implies(X6,X7)),implies(X6,or(X5,X7))))) ),
inference(paramodulation,[status(thm)],[f902,f659]) ).
fof(f5093,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(or(X5,not(X6)),implies(X6,X5)))) ),
inference(paramodulation,[status(thm)],[f902,f709]) ).
fof(f5094,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(or(X5,or(X6,X7)),or(X6,or(X5,X7))))) ),
inference(paramodulation,[status(thm)],[f902,f626]) ).
fof(f5096,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(or(X5,X6),or(X6,X5)))) ),
inference(paramodulation,[status(thm)],[f902,f627]) ).
fof(f5097,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(or(X5,and(X0,implies(X1,and(implies(X2,not(X3)),X4)))),X5))) ),
inference(paramodulation,[status(thm)],[f902,f1543]) ).
fof(f5099,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(or(X5,X5),X5))) ),
inference(paramodulation,[status(thm)],[f902,f628]) ).
fof(f5100,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(X5,and(X5,X5)))) ),
inference(paramodulation,[status(thm)],[f902,f698]) ).
fof(f5104,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(X5,or(X6,X5)))) ),
inference(paramodulation,[status(thm)],[f902,f632]) ).
fof(f5105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(X5,not(and(X0,implies(X1,and(implies(X2,not(X3)),X4))))))) ),
inference(paramodulation,[status(thm)],[f902,f3161]) ).
fof(f5107,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(or(and(X0,X1),implies(implies(X2,and(X3,or(and(X4,X5),not(X6)))),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f902,f600]) ).
fof(f5123,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X0),and(X1,implies(X2,and(implies(X3,not(X4)),X5)))))) ),
inference(paramodulation,[status(thm)],[f902,f1543]) ).
fof(f5131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),and(X1,implies(X2,and(implies(X3,not(X4)),X5)))))) ),
inference(paramodulation,[status(thm)],[f902,f650]) ).
fof(f5132,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(or(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),implies(implies(X2,and(X3,or(and(X4,X5),not(X6)))),X1)))) ),
inference(paramodulation,[status(thm)],[f902,f649]) ).
fof(f5133,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X6),or(X6,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))) ),
inference(paramodulation,[status(thm)],[f902,f649]) ).
fof(f5138,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(implies(X2,and(X3,or(and(X4,X5),not(X6)))),X1)))) ),
inference(paramodulation,[status(thm)],[f902,f615]) ).
fof(f5141,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),and(X1,implies(X2,and(implies(X3,not(X4)),X5))))),or(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))))) ),
inference(paramodulation,[status(thm)],[f902,f612]) ).
fof(f5142,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,or(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6))))),or(X0,implies(implies(X2,and(X3,or(and(X4,X5),not(X6)))),X1)))) ),
inference(paramodulation,[status(thm)],[f902,f611]) ).
fof(f5143,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X6)),or(X0,or(X6,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))) ),
inference(paramodulation,[status(thm)],[f902,f611]) ).
fof(f5144,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),X5),not(X5))) ),
inference(paramodulation,[status(thm)],[f902,f2434]) ).
fof(f5152,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,and(X3,or(and(X4,X5),not(X6)))),X1)))) ),
inference(paramodulation,[status(thm)],[f902,f632]) ).
fof(f5153,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(or(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),implies(implies(X2,and(X3,or(and(X4,X5),not(X6)))),X1)))) ),
inference(paramodulation,[status(thm)],[f902,f627]) ).
fof(f5154,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X6),or(X6,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))) ),
inference(paramodulation,[status(thm)],[f902,f627]) ).
fof(f5161,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),and(X1,implies(X2,and(implies(X3,not(X4)),X5)))))) ),
inference(paramodulation,[status(thm)],[f902,f628]) ).
fof(f5162,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X0)),X6)) ),
inference(paramodulation,[status(thm)],[f902,f954]) ).
fof(f5164,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),and(X0,implies(X1,and(implies(X2,not(X3)),X4)))),and(X0,implies(X1,and(implies(X2,not(X3)),X4)))),X5)) ),
inference(paramodulation,[status(thm)],[f902,f826]) ).
fof(f5166,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(X5,and(X0,implies(X1,and(implies(X2,not(X3)),X4)))))
| ~ is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),X5)) ),
inference(paramodulation,[status(thm)],[f902,f582]) ).
fof(f5168,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X0))) ),
inference(paramodulation,[status(thm)],[f902,f298]) ).
fof(f5171,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X0))) ),
inference(paramodulation,[status(thm)],[f902,f432]) ).
fof(f5172,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),X5),or(X5,and(X0,implies(X1,and(implies(X2,not(X3)),X4)))))) ),
inference(paramodulation,[status(thm)],[f902,f432]) ).
fof(f5173,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),or(X5,X6)),or(X5,implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),X6)))) ),
inference(paramodulation,[status(thm)],[f902,f443]) ).
fof(f5175,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),and(X0,implies(X1,and(implies(X2,not(X3)),X4)))),and(X0,implies(X1,and(implies(X2,not(X3)),X4))))) ),
inference(paramodulation,[status(thm)],[f902,f413]) ).
fof(f5176,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| is_a_theorem(and(X0,implies(X1,and(implies(X2,not(X3)),X4))))
| ~ is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),and(X0,implies(X1,and(implies(X2,not(X3)),X4))))) ),
inference(paramodulation,[status(thm)],[f902,f585]) ).
fof(f5251,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(and(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X6),implies(X6,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))) ),
inference(forward_demodulation,[status(thm)],[f566,f5046]) ).
fof(f5252,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(and(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X6),implies(X6,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))) ),
inference(forward_demodulation,[status(thm)],[f566,f5050]) ).
fof(f5254,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(and(implies(X0,and(X1,or(and(X2,X3),not(X4)))),X5),implies(X5,and(X0,implies(X1,and(implies(X2,not(X3)),X4)))))) ),
inference(forward_demodulation,[status(thm)],[f566,f5061]) ).
fof(f5273,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),or(X5,X6)),or(X5,implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),X6)))) ),
inference(forward_demodulation,[status(thm)],[f902,f5086]) ).
fof(f5324,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),or(X5,X6)),or(X5,implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),X6)))) ),
inference(forward_demodulation,[status(thm)],[f902,f5173]) ).
fof(f5327,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(or(X0,X1),not(or(X1,X1)))) ),
inference(resolution,[status(thm)],[f1575,f668]) ).
fof(f5328,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(X1,X1)),implies(X0,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1575,f618]) ).
fof(f5329,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,or(X1,X1)),or(X0,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1575,f568]) ).
fof(f5330,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(or(X0,X0)) ),
inference(resolution,[status(thm)],[f1575,f176]) ).
fof(f5331,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(or(X0,X0),or(X1,X0))))) ),
inference(resolution,[status(thm)],[f1575,f2548]) ).
fof(f5332,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(or(X1,X1),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1575,f588]) ).
fof(f5333,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(or(X1,X1),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f1575,f591]) ).
fof(f5334,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(or(X0,X0),or(X1,X0)),implies(or(X0,X0),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f1575,f696]) ).
fof(f5335,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(or(and(X0,X1),not(X2)),and(implies(X0,not(X1)),X2)),or(X3,and(implies(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f596,f1575]) ).
fof(f5336,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),and(X0,implies(X1,and(implies(X2,not(X3)),X4)))),or(X5,and(X0,implies(X1,and(implies(X2,not(X3)),X4)))))) ),
inference(paramodulation,[status(thm)],[f902,f1575]) ).
fof(f5337,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,not(X0)),or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f486,f1575]) ).
fof(f5340,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,X0),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f486,f1575]) ).
fof(f5346,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| and(implies(X0,not(X1)),implies(X2,and(X3,or(and(X4,X5),not(X6))))) = not(or(and(X0,X1),and(X2,implies(X3,and(implies(X4,not(X5)),X6))))) ),
inference(paramodulation,[status(thm)],[f566,f903]) ).
fof(f5367,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,or(and(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X6),and(not(X6),implies(X1,and(X2,or(and(X3,X4),not(X5))))))) = not(implies(X0,equiv(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),not(X6)))) ),
inference(paramodulation,[status(thm)],[f903,f887]) ).
fof(f5368,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(or(and(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),and(not(X5),implies(X0,and(X1,or(and(X2,X3),not(X4)))))),X6) = or(equiv(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),not(X5)),X6) ),
inference(paramodulation,[status(thm)],[f903,f755]) ).
fof(f5371,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))),implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X0)) = not(implies(implies(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X0)),equiv(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X0))) ),
inference(paramodulation,[status(thm)],[f903,f719]) ).
fof(f5372,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),implies(X0,and(X1,or(and(X2,X3),not(X4))))))) ),
inference(paramodulation,[status(thm)],[f903,f2643]) ).
fof(f5378,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),X6),and(X6,implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))))),X7) = or(equiv(not(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))),X6),X7) ),
inference(paramodulation,[status(thm)],[f903,f727]) ).
fof(f5379,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6))))),X7),and(X7,implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6))))))) = not(implies(X0,equiv(not(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6))))),X7))) ),
inference(paramodulation,[status(thm)],[f903,f726]) ).
fof(f5381,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))),not(X6)) = not(or(and(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),X6),and(not(X6),implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))) ),
inference(paramodulation,[status(thm)],[f903,f716]) ).
fof(f5382,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| is_a_theorem(implies(X0,or(and(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6))))),and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6)))))))) ),
inference(paramodulation,[status(thm)],[f903,f670]) ).
fof(f5383,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(or(X1,and(X2,implies(X3,and(X4,or(and(X5,X6),not(X7)))))),implies(implies(X2,and(X3,implies(X4,and(implies(X5,not(X6)),X7)))),X1)))) ),
inference(paramodulation,[status(thm)],[f903,f708]) ).
fof(f5384,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),X7),or(X7,and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6))))))))) ),
inference(paramodulation,[status(thm)],[f903,f685]) ).
fof(f5385,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),X7)),or(X0,or(X7,and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6))))))))) ),
inference(paramodulation,[status(thm)],[f903,f683]) ).
fof(f5386,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,or(X1,and(X2,implies(X3,and(X4,or(and(X5,X6),not(X7))))))),or(X0,implies(implies(X2,and(X3,implies(X4,and(implies(X5,not(X6)),X7)))),X1)))) ),
inference(paramodulation,[status(thm)],[f903,f706]) ).
fof(f5387,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6)))))),implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))))) ),
inference(paramodulation,[status(thm)],[f903,f3312]) ).
fof(f5388,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(or(X1,and(X2,implies(X3,and(X4,or(and(X5,X6),not(X7)))))),implies(implies(X2,and(X3,implies(X4,and(implies(X5,not(X6)),X7)))),X1)))) ),
inference(paramodulation,[status(thm)],[f903,f709]) ).
fof(f5389,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),X7),or(X7,and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6))))))))) ),
inference(paramodulation,[status(thm)],[f903,f686]) ).
fof(f5390,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(X0,and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6)))))),implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))))) ),
inference(paramodulation,[status(thm)],[f903,f3229]) ).
fof(f5391,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,or(and(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6))))),and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6)))))))) ),
inference(paramodulation,[status(thm)],[f903,f671]) ).
fof(f5392,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(and(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),X6),implies(X6,and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5)))))))) ),
inference(paramodulation,[status(thm)],[f903,f691]) ).
fof(f5393,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),implies(X6,and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5)))))))) ),
inference(paramodulation,[status(thm)],[f903,f3161]) ).
fof(f5394,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(or(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5)))))),X6)) ),
inference(paramodulation,[status(thm)],[f903,f3097]) ).
fof(f5395,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),or(X6,and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5)))))))) ),
inference(paramodulation,[status(thm)],[f903,f3096]) ).
fof(f5396,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6)))))))) ),
inference(paramodulation,[status(thm)],[f903,f2475]) ).
fof(f5398,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6)))))))) ),
inference(paramodulation,[status(thm)],[f903,f2474]) ).
fof(f5399,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6))))),and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6))))))) ),
inference(paramodulation,[status(thm)],[f903,f2436]) ).
fof(f5400,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(X0,implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6))))),and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6))))))) ),
inference(paramodulation,[status(thm)],[f903,f2434]) ).
fof(f5401,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))) ),
inference(paramodulation,[status(thm)],[f903,f2745]) ).
fof(f5404,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5)))))))) ),
inference(paramodulation,[status(thm)],[f903,f2646]) ).
fof(f5406,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),not(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5)))))))) ),
inference(paramodulation,[status(thm)],[f903,f2478]) ).
fof(f5409,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))))) ),
inference(paramodulation,[status(thm)],[f903,f2438]) ).
fof(f5411,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| is_a_theorem(not(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))))) ),
inference(paramodulation,[status(thm)],[f903,f609]) ).
fof(f5412,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),X0))
| ~ is_a_theorem(or(X0,and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6))))))) ),
inference(paramodulation,[status(thm)],[f903,f707]) ).
fof(f5413,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),X6),or(X6,and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5)))))))) ),
inference(paramodulation,[status(thm)],[f903,f583]) ).
fof(f5414,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6)))))),implies(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),X0))) ),
inference(paramodulation,[status(thm)],[f903,f584]) ).
fof(f5415,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| is_a_theorem(or(and(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))),and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))))) ),
inference(paramodulation,[status(thm)],[f903,f587]) ).
fof(f5418,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| and(implies(X0,not(X1)),implies(X2,and(X3,implies(X4,and(implies(X5,not(X6)),X7))))) = not(or(and(X0,X1),and(X2,implies(X3,and(X4,or(and(X5,X6),not(X7))))))) ),
inference(paramodulation,[status(thm)],[f903,f602]) ).
fof(f5422,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| implies(implies(X0,and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6)))))),X7) = or(and(X0,implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6))))),X7) ),
inference(paramodulation,[status(thm)],[f903,f566]) ).
fof(f5423,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| and(X0,implies(X1,and(X2,implies(X3,and(X4,or(and(X5,X6),not(X7))))))) = not(implies(X0,and(X1,implies(X2,and(X3,implies(X4,and(implies(X5,not(X6)),X7))))))) ),
inference(paramodulation,[status(thm)],[f903,f565]) ).
fof(f5424,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| and(X0,implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6))))) = not(implies(X0,and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6))))))) ),
inference(paramodulation,[status(thm)],[f903,f530]) ).
fof(f5425,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| implies(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),X6) = or(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),X6) ),
inference(paramodulation,[status(thm)],[f903,f486]) ).
fof(f5477,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X0)) = not(implies(implies(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X0)),equiv(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X0))) ),
inference(forward_demodulation,[status(thm)],[f903,f5371]) ).
fof(f5480,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),X6),and(X6,implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))))),X7) = or(equiv(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),X6),X7) ),
inference(forward_demodulation,[status(thm)],[f903,f5378]) ).
fof(f5481,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6))))),X7),and(X7,implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6))))))) = not(implies(X0,equiv(and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6))))),X7))) ),
inference(forward_demodulation,[status(thm)],[f903,f5379]) ).
fof(f5483,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),not(X6)) = not(or(and(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),X6),and(not(X6),implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))) ),
inference(forward_demodulation,[status(thm)],[f903,f5381]) ).
fof(f5484,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| is_a_theorem(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))))) ),
inference(forward_demodulation,[status(thm)],[f903,f5411]) ).
fof(f5493,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5)))))),and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))))) ),
inference(backward_demodulation,[status(thm)],[f5422,f5415]) ).
fof(f5494,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,implies(implies(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6)))))),and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6)))))))) ),
inference(backward_demodulation,[status(thm)],[f5422,f5391]) ).
fof(f5495,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6)))))),and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6)))))))) ),
inference(backward_demodulation,[status(thm)],[f5422,f5382]) ).
fof(f5535,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,or(and(and(X1,or(and(X2,X3),not(X4))),X5),and(not(X5),implies(X1,and(implies(X2,not(X3)),X4))))) = not(implies(X0,equiv(and(X1,or(and(X2,X3),not(X4))),not(X5)))) ),
inference(paramodulation,[status(thm)],[f904,f887]) ).
fof(f5536,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(or(and(and(X0,or(and(X1,X2),not(X3))),X4),and(not(X4),implies(X0,and(implies(X1,not(X2)),X3)))),X5) = or(equiv(and(X0,or(and(X1,X2),not(X3))),not(X4)),X5) ),
inference(paramodulation,[status(thm)],[f904,f755]) ).
fof(f5539,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,and(X1,or(and(X2,X3),not(X4))))),implies(and(X1,or(and(X2,X3),not(X4))),X0)) = not(implies(implies(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),implies(and(X1,or(and(X2,X3),not(X4))),X0)),equiv(and(X1,or(and(X2,X3),not(X4))),X0))) ),
inference(paramodulation,[status(thm)],[f904,f719]) ).
fof(f5547,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),and(X5,implies(X0,and(X1,or(and(X2,X3),not(X4)))))),X6) = or(equiv(not(implies(X0,and(X1,or(and(X2,X3),not(X4))))),X5),X6) ),
inference(paramodulation,[status(thm)],[f904,f727]) ).
fof(f5548,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X6),and(X6,implies(X1,and(X2,or(and(X3,X4),not(X5))))))) = not(implies(X0,equiv(not(implies(X1,and(X2,or(and(X3,X4),not(X5))))),X6))) ),
inference(paramodulation,[status(thm)],[f904,f726]) ).
fof(f5550,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,and(X1,or(and(X2,X3),not(X4))))),not(X5)) = not(or(and(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),and(not(X5),implies(X0,and(X1,or(and(X2,X3),not(X4))))))) ),
inference(paramodulation,[status(thm)],[f904,f716]) ).
fof(f5556,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),implies(X1,and(X2,or(and(X3,X4),not(X5)))))) ),
inference(paramodulation,[status(thm)],[f904,f3312]) ).
fof(f5559,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),implies(X1,and(X2,or(and(X3,X4),not(X5)))))) ),
inference(paramodulation,[status(thm)],[f904,f3229]) ).
fof(f5562,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(X5,and(X0,implies(X1,and(implies(X2,not(X3)),X4)))))) ),
inference(paramodulation,[status(thm)],[f904,f3161]) ).
fof(f5563,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(or(implies(X0,and(X1,or(and(X2,X3),not(X4)))),and(X0,implies(X1,and(implies(X2,not(X3)),X4)))),X5)) ),
inference(paramodulation,[status(thm)],[f904,f3097]) ).
fof(f5564,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,and(X1,or(and(X2,X3),not(X4)))),or(X5,and(X0,implies(X1,and(implies(X2,not(X3)),X4)))))) ),
inference(paramodulation,[status(thm)],[f904,f3096]) ).
fof(f5565,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(implies(X1,and(X2,or(and(X3,X4),not(X5)))),and(X1,implies(X2,and(implies(X3,not(X4)),X5)))))) ),
inference(paramodulation,[status(thm)],[f904,f2475]) ).
fof(f5567,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(implies(X1,and(X2,or(and(X3,X4),not(X5)))),and(X1,implies(X2,and(implies(X3,not(X4)),X5)))))) ),
inference(paramodulation,[status(thm)],[f904,f2474]) ).
fof(f5568,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),and(X1,implies(X2,and(implies(X3,not(X4)),X5))))) ),
inference(paramodulation,[status(thm)],[f904,f2436]) ).
fof(f5569,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),and(X1,implies(X2,and(implies(X3,not(X4)),X5))))) ),
inference(paramodulation,[status(thm)],[f904,f2434]) ).
fof(f5573,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(implies(X0,and(X1,or(and(X2,X3),not(X4)))),and(X0,implies(X1,and(implies(X2,not(X3)),X4)))))) ),
inference(paramodulation,[status(thm)],[f904,f2646]) ).
fof(f5578,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,and(X1,or(and(X2,X3),not(X4)))),and(X0,implies(X1,and(implies(X2,not(X3)),X4))))) ),
inference(paramodulation,[status(thm)],[f904,f2438]) ).
fof(f5581,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X0))
| ~ is_a_theorem(or(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))) ),
inference(paramodulation,[status(thm)],[f904,f707]) ).
fof(f5638,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),implies(and(X1,or(and(X2,X3),not(X4))),X0)) = not(implies(implies(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),implies(and(X1,or(and(X2,X3),not(X4))),X0)),equiv(and(X1,or(and(X2,X3),not(X4))),X0))) ),
inference(forward_demodulation,[status(thm)],[f904,f5539]) ).
fof(f5651,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),and(X5,implies(X0,and(X1,or(and(X2,X3),not(X4)))))),X6) = or(equiv(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),X6) ),
inference(forward_demodulation,[status(thm)],[f904,f5547]) ).
fof(f5652,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X6),and(X6,implies(X1,and(X2,or(and(X3,X4),not(X5))))))) = not(implies(X0,equiv(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X6))) ),
inference(forward_demodulation,[status(thm)],[f904,f5548]) ).
fof(f5655,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),not(X5)) = not(or(and(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),and(not(X5),implies(X0,and(X1,or(and(X2,X3),not(X4))))))) ),
inference(forward_demodulation,[status(thm)],[f904,f5550]) ).
fof(f5677,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1697,f618]) ).
fof(f5678,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,X1),or(X0,or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1697,f568]) ).
fof(f5679,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X1,X1),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1697,f176]) ).
fof(f5680,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(X0,or(implies(X1,X1),X2))))) ),
inference(resolution,[status(thm)],[f1697,f2548]) ).
fof(f5681,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(X1,or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1697,f588]) ).
fof(f5682,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(X1,or(implies(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f1697,f591]) ).
fof(f5683,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ34_spl
| is_a_theorem(and(implies(X0,or(implies(X1,X1),X2)),implies(X0,or(implies(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f1697,f696]) ).
fof(f5687,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(or(equiv(X1,not(X2)),or(and(X1,X2),not(implies(not(X2),X1)))),X3))) ),
inference(paramodulation,[status(thm)],[f755,f1697]) ).
fof(f5688,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(or(equiv(not(X1),X2),implies(implies(not(X1),X2),and(X2,X1))),X3))) ),
inference(paramodulation,[status(thm)],[f727,f1697]) ).
fof(f5689,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(or(and(X1,X2),implies(X1,not(X2))),X3))) ),
inference(paramodulation,[status(thm)],[f566,f1697]) ).
fof(f5690,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| sQ99_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f5679,f1022,f3776,f297,f431,f442,f485,f175]) ).
fof(f5736,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,and(implies(X2,not(X3)),X4)),not(X5)),implies(X5,and(X1,or(and(X2,X3),not(X4))))))) ),
inference(paramodulation,[status(thm)],[f905,f708]) ).
fof(f5737,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),implies(implies(X2,and(implies(X3,not(X4)),X5)),not(X1))))) ),
inference(paramodulation,[status(thm)],[f905,f685]) ).
fof(f5738,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),or(X0,implies(implies(X2,and(implies(X3,not(X4)),X5)),not(X1))))) ),
inference(paramodulation,[status(thm)],[f905,f683]) ).
fof(f5739,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),not(X5))),or(X0,implies(X5,and(X1,or(and(X2,X3),not(X4))))))) ),
inference(paramodulation,[status(thm)],[f905,f706]) ).
fof(f5740,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(implies(X1,and(implies(X2,not(X3)),X4)),not(X5)),implies(X5,and(X1,or(and(X2,X3),not(X4))))))) ),
inference(paramodulation,[status(thm)],[f905,f709]) ).
fof(f5741,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),implies(implies(X2,and(implies(X3,not(X4)),X5)),not(X1))))) ),
inference(paramodulation,[status(thm)],[f905,f686]) ).
fof(f5742,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(implies(implies(X0,and(implies(X1,not(X2)),X3)),not(X4)),X4)) ),
inference(paramodulation,[status(thm)],[f905,f3229]) ).
fof(f5743,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(implies(X0,and(implies(X1,not(X2)),X3)),not(and(X0,or(and(X1,X2),not(X3))))),X4)) ),
inference(paramodulation,[status(thm)],[f905,f3097]) ).
fof(f5744,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),not(X0)))) ),
inference(paramodulation,[status(thm)],[f905,f3096]) ).
fof(f5745,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),not(and(X1,or(and(X2,X3),not(X4))))))) ),
inference(paramodulation,[status(thm)],[f905,f2475]) ).
fof(f5746,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),not(and(X1,or(and(X2,X3),not(X4))))))) ),
inference(paramodulation,[status(thm)],[f905,f2474]) ).
fof(f5749,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(implies(X4,and(X0,or(and(X1,X2),not(X3)))))
| ~ is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),not(X4))) ),
inference(paramodulation,[status(thm)],[f905,f707]) ).
fof(f5752,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),equiv(X4,X4))) ),
inference(paramodulation,[status(thm)],[f905,f1660]) ).
fof(f5754,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),or(and(X4,X4),not(X4)))) ),
inference(paramodulation,[status(thm)],[f905,f671]) ).
fof(f5757,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),or(X4,not(and(X0,or(and(X1,X2),not(X3))))))) ),
inference(paramodulation,[status(thm)],[f905,f3096]) ).
fof(f5758,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),or(X4,not(X4)))) ),
inference(paramodulation,[status(thm)],[f905,f2474]) ).
fof(f5761,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),or(X4,implies(X5,X5)))) ),
inference(paramodulation,[status(thm)],[f905,f1560]) ).
fof(f5776,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(implies(X0,and(implies(X1,not(X2)),X3)),or(X4,X5)),or(X4,or(and(X0,or(and(X1,X2),not(X3))),X5)))) ),
inference(paramodulation,[status(thm)],[f905,f443]) ).
fof(f5777,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(implies(X4,or(X5,X6)),or(X5,implies(X4,X6))))) ),
inference(paramodulation,[status(thm)],[f905,f639]) ).
fof(f5778,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(implies(X4,X5),or(X5,not(X4))))) ),
inference(paramodulation,[status(thm)],[f905,f686]) ).
fof(f5779,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(implies(X4,X5),implies(implies(X6,X4),implies(X6,X5))))) ),
inference(paramodulation,[status(thm)],[f905,f629]) ).
fof(f5780,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(implies(X4,X5),implies(or(X6,X4),or(X6,X5))))) ),
inference(paramodulation,[status(thm)],[f905,f630]) ).
fof(f5782,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(or(X4,implies(X5,X6)),implies(X5,or(X4,X6))))) ),
inference(paramodulation,[status(thm)],[f905,f659]) ).
fof(f5783,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(or(X4,not(X5)),implies(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f905,f709]) ).
fof(f5784,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(or(X4,or(X5,X6)),or(X5,or(X4,X6))))) ),
inference(paramodulation,[status(thm)],[f905,f626]) ).
fof(f5786,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(or(X4,X5),or(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f905,f627]) ).
fof(f5787,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(or(X4,and(X0,or(and(X1,X2),not(X3)))),X4))) ),
inference(paramodulation,[status(thm)],[f905,f1543]) ).
fof(f5789,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(or(X4,X4),X4))) ),
inference(paramodulation,[status(thm)],[f905,f628]) ).
fof(f5790,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(X4,and(X4,X4)))) ),
inference(paramodulation,[status(thm)],[f905,f698]) ).
fof(f5794,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(X4,or(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f905,f632]) ).
fof(f5795,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(X4,not(and(X0,or(and(X1,X2),not(X3))))))) ),
inference(paramodulation,[status(thm)],[f905,f3161]) ).
fof(f5797,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(or(and(X0,X1),implies(implies(X2,and(implies(X3,not(X4)),X5)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f905,f600]) ).
fof(f5814,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(implies(X0,and(implies(X1,not(X2)),X3)),and(X0,or(and(X1,X2),not(X3)))),or(X4,and(X0,or(and(X1,X2),not(X3)))))) ),
inference(paramodulation,[status(thm)],[f905,f1575]) ).
fof(f5815,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(implies(implies(X1,and(implies(X2,not(X3)),X4)),X0),and(X1,or(and(X2,X3),not(X4)))))) ),
inference(paramodulation,[status(thm)],[f905,f1543]) ).
fof(f5830,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(implies(X2,and(implies(X3,not(X4)),X5)),X1)))) ),
inference(paramodulation,[status(thm)],[f905,f615]) ).
fof(f5833,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),and(X1,or(and(X2,X3),not(X4))))),or(X0,and(X1,or(and(X2,X3),not(X4)))))) ),
inference(paramodulation,[status(thm)],[f905,f612]) ).
fof(f5836,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(X0,and(implies(X1,not(X2)),X3)),X4),not(X4))) ),
inference(paramodulation,[status(thm)],[f905,f2434]) ).
fof(f5844,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(implies(X2,and(implies(X3,not(X4)),X5)),X1)))) ),
inference(paramodulation,[status(thm)],[f905,f632]) ).
fof(f5854,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),X0)),X5)) ),
inference(paramodulation,[status(thm)],[f905,f954]) ).
fof(f5856,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(implies(implies(X0,and(implies(X1,not(X2)),X3)),and(X0,or(and(X1,X2),not(X3)))),and(X0,or(and(X1,X2),not(X3)))),X4)) ),
inference(paramodulation,[status(thm)],[f905,f826]) ).
fof(f5858,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(X4,and(X0,or(and(X1,X2),not(X3)))))
| ~ is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),X4)) ),
inference(paramodulation,[status(thm)],[f905,f582]) ).
fof(f5860,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),X0))) ),
inference(paramodulation,[status(thm)],[f905,f298]) ).
fof(f5865,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(and(X0,or(and(X1,X2),not(X3))),or(X4,X5)),or(X4,implies(implies(X0,and(implies(X1,not(X2)),X3)),X5)))) ),
inference(paramodulation,[status(thm)],[f905,f443]) ).
fof(f5939,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(and(implies(X1,and(implies(X2,not(X3)),X4)),X5),implies(X5,and(X1,or(and(X2,X3),not(X4))))))) ),
inference(forward_demodulation,[status(thm)],[f566,f5736]) ).
fof(f5940,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(and(implies(X1,and(implies(X2,not(X3)),X4)),X5),implies(X5,and(X1,or(and(X2,X3),not(X4))))))) ),
inference(forward_demodulation,[status(thm)],[f566,f5740]) ).
fof(f5961,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(implies(X0,and(implies(X1,not(X2)),X3)),or(X4,X5)),or(X4,implies(implies(X0,and(implies(X1,not(X2)),X3)),X5)))) ),
inference(forward_demodulation,[status(thm)],[f905,f5776]) ).
fof(f6012,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(implies(X0,and(implies(X1,not(X2)),X3)),or(X4,X5)),or(X4,implies(implies(X0,and(implies(X1,not(X2)),X3)),X5)))) ),
inference(forward_demodulation,[status(thm)],[f905,f5865]) ).
fof(f6015,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(X0,X1),not(implies(X1,X0))) = not(or(equiv(X0,X1),not(implies(not(implies(X1,X0)),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f493,f922]) ).
fof(f6019,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(or(equiv(not(X0),X1),not(implies(and(X1,X0),implies(not(X0),X1)))),X2) = not(or(equiv(implies(not(X0),X1),and(X1,X0)),not(X2))) ),
inference(paramodulation,[status(thm)],[f727,f922]) ).
fof(f6021,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(or(equiv(X0,not(X1)),X2),not(implies(X2,or(and(X0,X1),not(implies(not(X1),X0)))))),X3) = not(or(equiv(or(and(X0,X1),not(implies(not(X1),X0))),X2),not(X3))) ),
inference(paramodulation,[status(thm)],[f755,f922]) ).
fof(f6022,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(or(equiv(not(X0),X1),X2),not(implies(X2,implies(implies(not(X0),X1),and(X1,X0))))),X3) = not(or(equiv(implies(implies(not(X0),X1),and(X1,X0)),X2),not(X3))) ),
inference(paramodulation,[status(thm)],[f727,f922]) ).
fof(f6024,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(implies(equiv(X0,X1),implies(not(implies(X1,X0)),implies(X0,X1))),equiv(not(implies(X1,X0)),implies(X0,X1))),X2) = not(or(equiv(equiv(X0,X1),implies(not(implies(X1,X0)),implies(X0,X1))),not(X2))) ),
inference(paramodulation,[status(thm)],[f719,f922]) ).
fof(f6025,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(implies(and(X0,X1),implies(not(X1),X0)),equiv(not(X1),X0)),X2) = not(or(equiv(and(X0,X1),implies(not(X1),X0)),not(X2))) ),
inference(paramodulation,[status(thm)],[f592,f922]) ).
fof(f6026,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(implies(and(implies(X0,not(X1)),X2),X3),and(X3,or(and(X0,X1),not(X2)))),X4) = not(or(equiv(and(implies(X0,not(X1)),X2),X3),not(X4))) ),
inference(paramodulation,[status(thm)],[f601,f922]) ).
fof(f6027,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(implies(and(X0,or(and(X1,X2),not(X3))),X4),and(X4,implies(X0,and(implies(X1,not(X2)),X3)))),X5) = not(or(equiv(and(X0,or(and(X1,X2),not(X3))),X4),not(X5))) ),
inference(paramodulation,[status(thm)],[f904,f922]) ).
fof(f6028,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(implies(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),and(X5,implies(X0,and(X1,or(and(X2,X3),not(X4)))))),X6) = not(or(equiv(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),not(X6))) ),
inference(paramodulation,[status(thm)],[f903,f922]) ).
fof(f6030,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(implies(X0,or(and(X1,X2),not(implies(not(X2),X1)))),not(or(equiv(X1,not(X2)),X0))),X3) = not(or(equiv(X0,or(and(X1,X2),not(implies(not(X2),X1)))),not(X3))) ),
inference(paramodulation,[status(thm)],[f755,f922]) ).
fof(f6031,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(implies(X0,implies(implies(not(X1),X2),and(X2,X1))),not(or(equiv(not(X1),X2),X0))),X3) = not(or(equiv(X0,implies(implies(not(X1),X2),and(X2,X1))),not(X3))) ),
inference(paramodulation,[status(thm)],[f727,f922]) ).
fof(f6055,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(implies(implies(implies(X0,X1),not(implies(X1,X0))),not(or(equiv(X0,X1),not(implies(implies(X0,X1),not(implies(X1,X0))))))),X2)) ),
inference(paramodulation,[status(thm)],[f922,f1241]) ).
fof(f6134,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(and(implies(X0,X1),implies(X1,X0)),not(or(equiv(X0,X1),not(implies(implies(X0,X1),not(implies(X1,X0))))))),X2)) ),
inference(forward_demodulation,[status(thm)],[f566,f6055]) ).
fof(f6135,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(equiv(X0,X1),not(or(equiv(X0,X1),not(implies(implies(X0,X1),not(implies(X1,X0))))))),X2)) ),
inference(forward_demodulation,[status(thm)],[f493,f6134]) ).
fof(f6136,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(equiv(X0,X1),not(or(equiv(X0,X1),and(implies(X0,X1),implies(X1,X0))))),X2)) ),
inference(forward_demodulation,[status(thm)],[f530,f6135]) ).
fof(f6137,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(equiv(X0,X1),not(or(equiv(X0,X1),equiv(X0,X1)))),X2)) ),
inference(forward_demodulation,[status(thm)],[f493,f6136]) ).
fof(f6201,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(or(X0,or(X1,X2)),not(X2))) ),
inference(resolution,[status(thm)],[f1577,f668]) ).
fof(f6202,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,or(X2,or(X3,X1))))) ),
inference(resolution,[status(thm)],[f1577,f618]) ).
fof(f6203,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,X1),or(X0,or(X2,or(X3,X1))))) ),
inference(resolution,[status(thm)],[f1577,f568]) ).
fof(f6204,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X1,or(X2,X0)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1577,f176]) ).
fof(f6205,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(X0,or(X1,or(X2,X0)))))) ),
inference(resolution,[status(thm)],[f1577,f2548]) ).
fof(f6206,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,or(X2,or(X3,X1))))) ),
inference(resolution,[status(thm)],[f1577,f588]) ).
fof(f6207,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,or(X3,X1))))) ),
inference(resolution,[status(thm)],[f1577,f591]) ).
fof(f6208,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(X0,or(X1,or(X2,X0))),implies(X0,or(X1,or(X2,X0))))) ),
inference(resolution,[status(thm)],[f1577,f696]) ).
fof(f6209,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(equiv(X0,not(X1)),or(X2,or(X3,or(and(X0,X1),not(implies(not(X1),X0))))))) ),
inference(paramodulation,[status(thm)],[f755,f1577]) ).
fof(f6210,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(equiv(not(X0),X1),or(X2,or(X3,implies(implies(not(X0),X1),and(X1,X0)))))) ),
inference(paramodulation,[status(thm)],[f727,f1577]) ).
fof(f6211,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(and(X0,X1),or(X2,or(X3,implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f566,f1577]) ).
fof(f6215,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X0)))) ),
inference(paramodulation,[status(thm)],[f486,f1577]) ).
fof(f6216,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,implies(or(and(X2,X3),not(X4)),X0)))) ),
inference(paramodulation,[status(thm)],[f596,f1577]) ).
fof(f6217,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,implies(implies(X2,and(implies(X3,not(X4)),X5)),X0)))) ),
inference(paramodulation,[status(thm)],[f905,f1577]) ).
fof(f6218,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,implies(implies(X2,and(X3,or(and(X4,X5),not(X6)))),X0)))) ),
inference(paramodulation,[status(thm)],[f902,f1577]) ).
fof(f6219,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,X0)))) ),
inference(paramodulation,[status(thm)],[f486,f1577]) ).
fof(f6436,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))),implies(X4,not(X5))) = and(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),implies(X4,not(X5))),or(and(X4,X5),implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1027,f1027]) ).
fof(f6437,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),implies(X3,not(X4))) = and(or(equiv(implies(X0,not(X1)),X2),implies(X3,not(X4))),or(and(X3,X4),implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f607,f1027]) ).
fof(f6441,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),implies(X3,not(X4))) = and(or(equiv(X0,implies(X1,not(X2))),implies(X3,not(X4))),or(and(X3,X4),implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))) ),
inference(paramodulation,[status(thm)],[f606,f1027]) ).
fof(f6442,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,X1),not(implies(X1,X0))),implies(X2,not(X3))) = and(or(equiv(X0,X1),implies(X2,not(X3))),or(and(X2,X3),implies(implies(X0,X1),not(implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f493,f1027]) ).
fof(f6460,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(X0,not(X1)),implies(or(and(X2,X3),implies(X4,not(X5))),not(or(and(X4,X5),implies(X2,not(X3)))))) = and(or(and(X0,X1),implies(or(and(X2,X3),implies(X4,not(X5))),not(or(and(X4,X5),implies(X2,not(X3)))))),or(equiv(implies(X2,not(X3)),implies(X4,not(X5))),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1027,f1027]) ).
fof(f6461,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(X0,not(X1)),implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))) = and(or(and(X0,X1),implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),or(equiv(implies(X2,not(X3)),X4),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f607,f1027]) ).
fof(f6465,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(X0,not(X1)),implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))) = and(or(and(X0,X1),implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),or(equiv(X2,implies(X3,not(X4))),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f606,f1027]) ).
fof(f6466,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(X0,not(X1)),implies(implies(X2,X3),not(implies(X3,X2)))) = and(or(and(X0,X1),implies(implies(X2,X3),not(implies(X3,X2)))),or(equiv(X2,X3),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f493,f1027]) ).
fof(f6483,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,or(equiv(implies(X1,not(X2)),implies(X3,not(X4))),not(implies(not(or(and(X3,X4),implies(X1,not(X2)))),or(and(X1,X2),implies(X3,not(X4))))))) = not(implies(X0,equiv(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1027,f887]) ).
fof(f6485,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),not(implies(not(or(and(X2,X3),implies(X0,not(X1)))),or(and(X0,X1),implies(X2,not(X3)))))),X4) = or(equiv(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))),X4) ),
inference(paramodulation,[status(thm)],[f1027,f755]) ).
fof(f6486,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(not(or(and(X0,X1),implies(X2,not(X3)))),or(and(X2,X3),implies(X0,not(X1)))),equiv(implies(X2,not(X3)),implies(X0,not(X1)))),X4) = or(equiv(not(or(and(X0,X1),implies(X2,not(X3)))),or(and(X2,X3),implies(X0,not(X1)))),X4) ),
inference(paramodulation,[status(thm)],[f1027,f727]) ).
fof(f6487,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(not(or(and(X1,X2),implies(X3,not(X4)))),or(and(X3,X4),implies(X1,not(X2)))),equiv(implies(X3,not(X4)),implies(X1,not(X2))))) = not(implies(X0,equiv(not(or(and(X1,X2),implies(X3,not(X4)))),or(and(X3,X4),implies(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1027,f726]) ).
fof(f6488,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| is_a_theorem(implies(X0,or(equiv(implies(X1,not(X2)),implies(X1,not(X2))),not(or(and(X1,X2),implies(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1027,f670]) ).
fof(f6489,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(implies(or(and(X0,X1),implies(X0,not(X1))),equiv(implies(X0,not(X1)),implies(X0,not(X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f1027,f1241]) ).
fof(f6490,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(X0,implies(or(and(X1,X2),implies(X1,not(X2))),equiv(implies(X1,not(X2)),implies(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1027,f697]) ).
fof(f6491,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,implies(or(and(X1,X2),implies(X1,not(X2))),equiv(implies(X1,not(X2)),implies(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1027,f698]) ).
fof(f6492,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,or(equiv(implies(X1,not(X2)),implies(X1,not(X2))),not(or(and(X1,X2),implies(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1027,f671]) ).
fof(f6493,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),implies(or(and(X2,X3),implies(X0,not(X1))),not(or(and(X0,X1),implies(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f1027,f691]) ).
fof(f6494,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(not(or(and(X0,X1),implies(X2,not(X3)))),X4),or(equiv(implies(X2,not(X3)),implies(X0,not(X1))),implies(or(and(X2,X3),implies(X0,not(X1))),X4)))) ),
inference(paramodulation,[status(thm)],[f1027,f621]) ).
fof(f6495,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),X4),implies(or(X5,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1)))))),or(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f1027,f604]) ).
fof(f6496,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),X4),implies(implies(X5,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1)))))),implies(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f1027,f620]) ).
fof(f6497,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),implies(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1027,f599]) ).
fof(f6498,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),implies(or(X4,or(and(X0,X1),implies(X2,not(X3)))),or(X4,not(or(and(X2,X3),implies(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1027,f598]) ).
fof(f6499,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),implies(implies(X4,or(and(X0,X1),implies(X2,not(X3)))),implies(X4,not(or(and(X2,X3),implies(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1027,f619]) ).
fof(f6500,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ34_spl
| is_a_theorem(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),or(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1027,f600]) ).
fof(f6501,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X4)
| ~ is_a_theorem(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),X4))
| ~ is_a_theorem(implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1027,f605]) ).
fof(f6502,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X5,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1)))))),or(X5,X4)))
| ~ is_a_theorem(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),X4)) ),
inference(paramodulation,[status(thm)],[f1027,f616]) ).
fof(f6503,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ65_spl
| is_a_theorem(or(equiv(implies(X0,not(X1)),implies(X0,not(X1))),not(or(and(X0,X1),implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1027,f587]) ).
fof(f6504,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(or(and(X0,X1),implies(X0,not(X1))),equiv(implies(X0,not(X1)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1027,f676]) ).
fof(f6505,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))),X4) = and(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),X4),implies(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1027,f607]) ).
fof(f6506,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2)))))) = and(implies(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2)))))),or(equiv(implies(X1,not(X2)),implies(X3,not(X4))),X0)) ),
inference(paramodulation,[status(thm)],[f1027,f606]) ).
fof(f6507,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))),X4) = not(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),not(X4))) ),
inference(paramodulation,[status(thm)],[f1027,f602]) ).
fof(f6508,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(and(X0,X1),implies(X2,not(X3)))),or(and(X2,X3),implies(X0,not(X1)))) = not(implies(implies(not(or(and(X0,X1),implies(X2,not(X3)))),or(and(X2,X3),implies(X0,not(X1)))),equiv(implies(X2,not(X3)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f1027,f592]) ).
fof(f6633,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(or(X0,and(X1,X1)),not(X1))) ),
inference(resolution,[status(thm)],[f1576,f668]) ).
fof(f6634,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,or(X2,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f1576,f618]) ).
fof(f6635,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,X1),or(X0,or(X2,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f1576,f568]) ).
fof(f6636,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(X1,and(X0,X0)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1576,f176]) ).
fof(f6637,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| is_a_theorem(not(not(implies(X0,or(X1,and(X0,X0)))))) ),
inference(resolution,[status(thm)],[f1576,f2548]) ).
fof(f6638,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,or(X2,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f1576,f588]) ).
fof(f6639,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,and(X1,X1))))) ),
inference(resolution,[status(thm)],[f1576,f591]) ).
fof(f6640,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(X0,or(X1,and(X0,X0))),implies(X0,or(X1,and(X0,X0))))) ),
inference(resolution,[status(thm)],[f1576,f696]) ).
fof(f6643,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(and(X0,X1),or(X2,and(implies(X0,not(X1)),implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f566,f1576]) ).
fof(f6647,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,and(X0,X0)))) ),
inference(paramodulation,[status(thm)],[f486,f1576]) ).
fof(f6648,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(and(X0,X1),implies(X0,not(X1))),or(X2,equiv(implies(X0,not(X1)),implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1027,f1576]) ).
fof(f6649,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(implies(X0,X1),not(implies(X1,X0))),or(X2,not(or(equiv(X0,X1),not(implies(implies(X0,X1),not(implies(X1,X0))))))))) ),
inference(paramodulation,[status(thm)],[f922,f1576]) ).
fof(f6650,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,X0),or(X1,equiv(X0,X0)))) ),
inference(paramodulation,[status(thm)],[f493,f1576]) ).
fof(f6658,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(and(X0,X1),or(X2,not(implies(implies(X0,not(X1)),and(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f565,f6643]) ).
fof(f6659,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(and(X0,X1),or(X2,not(or(and(X0,X1),and(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f566,f6658]) ).
fof(f6660,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(and(implies(X0,X1),implies(X1,X0)),or(X2,not(or(equiv(X0,X1),not(implies(implies(X0,X1),not(implies(X1,X0))))))))) ),
inference(forward_demodulation,[status(thm)],[f566,f6649]) ).
fof(f6661,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(equiv(X0,X1),or(X2,not(or(equiv(X0,X1),not(implies(implies(X0,X1),not(implies(X1,X0))))))))) ),
inference(forward_demodulation,[status(thm)],[f493,f6660]) ).
fof(f6662,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(equiv(X0,X1),or(X2,not(or(equiv(X0,X1),and(implies(X0,X1),implies(X1,X0))))))) ),
inference(forward_demodulation,[status(thm)],[f530,f6661]) ).
fof(f6663,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(equiv(X0,X1),or(X2,not(or(equiv(X0,X1),equiv(X0,X1)))))) ),
inference(forward_demodulation,[status(thm)],[f493,f6662]) ).
fof(f6670,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(or(and(X0,X1),not(implies(not(X1),X0))),implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))) = and(or(equiv(X0,not(X1)),implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),or(equiv(X2,implies(X3,not(X4))),or(and(X0,X1),not(implies(not(X1),X0))))) ),
inference(paramodulation,[status(thm)],[f755,f1034]) ).
fof(f6671,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(not(X0),X1),and(X1,X0)),implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))) = and(or(equiv(not(X0),X1),implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),or(equiv(X2,implies(X3,not(X4))),implies(implies(not(X0),X1),and(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f727,f1034]) ).
fof(f6673,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(or(and(X1,X2),not(implies(not(X2),X1))),implies(X3,not(X4))),not(or(and(X3,X4),or(and(X1,X2),not(implies(not(X2),X1))))))) = and(implies(X0,implies(or(equiv(X1,not(X2)),implies(X3,not(X4))),not(or(and(X3,X4),or(and(X1,X2),not(implies(not(X2),X1))))))),or(equiv(or(and(X1,X2),not(implies(not(X2),X1))),implies(X3,not(X4))),X0)) ),
inference(paramodulation,[status(thm)],[f755,f1034]) ).
fof(f6674,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(implies(implies(not(X1),X2),and(X2,X1)),implies(X3,not(X4))),not(or(and(X3,X4),implies(implies(not(X1),X2),and(X2,X1)))))) = and(implies(X0,implies(or(equiv(not(X1),X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(implies(not(X1),X2),and(X2,X1)))))),or(equiv(implies(implies(not(X1),X2),and(X2,X1)),implies(X3,not(X4))),X0)) ),
inference(paramodulation,[status(thm)],[f727,f1034]) ).
fof(f6692,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(or(and(X2,X3),implies(X4,not(X5))),not(or(and(X4,X5),implies(X2,not(X3)))))),not(or(and(or(and(X2,X3),implies(X4,not(X5))),or(and(X4,X5),implies(X2,not(X3)))),X1)))) = and(implies(X0,implies(implies(X1,implies(or(and(X2,X3),implies(X4,not(X5))),not(or(and(X4,X5),implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),implies(X4,not(X5))),X1)))),or(equiv(X1,implies(or(and(X2,X3),implies(X4,not(X5))),not(or(and(X4,X5),implies(X2,not(X3)))))),X0)) ),
inference(paramodulation,[status(thm)],[f1027,f1034]) ).
fof(f6693,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(and(or(and(X2,X3),X4),implies(X4,implies(X2,not(X3)))),X1)))) = and(implies(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1)))),or(equiv(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),X0)) ),
inference(paramodulation,[status(thm)],[f607,f1034]) ).
fof(f6697,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(implies(X2,implies(implies(X3,implies(X4,not(X5))),not(or(and(X4,X5),X3)))),not(or(equiv(X3,implies(X4,not(X5))),X2)))),not(or(and(implies(X2,implies(implies(X3,implies(X4,not(X5))),not(or(and(X4,X5),X3)))),or(equiv(X3,implies(X4,not(X5))),X2)),X1)))) = and(implies(X0,implies(implies(X1,implies(implies(X2,implies(implies(X3,implies(X4,not(X5))),not(or(and(X4,X5),X3)))),not(or(equiv(X3,implies(X4,not(X5))),X2)))),not(or(equiv(X2,implies(implies(X3,implies(X4,not(X5))),not(or(and(X4,X5),X3)))),X1)))),or(equiv(X1,implies(implies(X2,implies(implies(X3,implies(X4,not(X5))),not(or(and(X4,X5),X3)))),not(or(equiv(X3,implies(X4,not(X5))),X2)))),X0)) ),
inference(paramodulation,[status(thm)],[f1034,f1034]) ).
fof(f6698,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(and(implies(X2,implies(X3,not(X4))),or(and(X3,X4),X2)),X1)))) = and(implies(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1)))),or(equiv(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),X0)) ),
inference(paramodulation,[status(thm)],[f606,f1034]) ).
fof(f6699,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(and(implies(X2,X3),implies(X3,X2)),X1)))) = and(implies(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1)))),or(equiv(X1,implies(implies(X2,X3),not(implies(X3,X2)))),X0)) ),
inference(paramodulation,[status(thm)],[f493,f1034]) ).
fof(f6714,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(X0,not(X1)),implies(implies(X2,implies(implies(X3,implies(X4,not(X5))),not(or(and(X4,X5),X3)))),not(or(equiv(X3,implies(X4,not(X5))),X2)))) = and(or(and(X0,X1),implies(implies(X2,implies(implies(X3,implies(X4,not(X5))),not(or(and(X4,X5),X3)))),not(or(equiv(X3,implies(X4,not(X5))),X2)))),or(equiv(X2,implies(implies(X3,implies(X4,not(X5))),not(or(and(X4,X5),X3)))),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1034,f1027]) ).
fof(f6715,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))),implies(X4,not(X5))) = and(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),implies(X4,not(X5))),or(and(X4,X5),implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))))) ),
inference(paramodulation,[status(thm)],[f1034,f1027]) ).
fof(f6718,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,or(equiv(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(implies(not(or(equiv(X2,implies(X3,not(X4))),X1)),implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))))))) = not(implies(X0,equiv(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1))))) ),
inference(paramodulation,[status(thm)],[f1034,f887]) ).
fof(f6720,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(implies(not(or(equiv(X1,implies(X2,not(X3))),X0)),implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))))),X4) = or(equiv(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))),X4) ),
inference(paramodulation,[status(thm)],[f1034,f755]) ).
fof(f6721,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(not(or(equiv(X0,implies(X1,not(X2))),X3)),implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))),equiv(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))),X4) = or(equiv(not(or(equiv(X0,implies(X1,not(X2))),X3)),implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))),X4) ),
inference(paramodulation,[status(thm)],[f1034,f727]) ).
fof(f6722,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(not(or(equiv(X1,implies(X2,not(X3))),X4)),implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))),equiv(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))) = not(implies(X0,equiv(not(or(equiv(X1,implies(X2,not(X3))),X4)),implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))))) ),
inference(paramodulation,[status(thm)],[f1034,f726]) ).
fof(f6723,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),implies(or(equiv(X1,implies(X2,not(X3))),X0),not(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))))) ),
inference(paramodulation,[status(thm)],[f1034,f691]) ).
fof(f6724,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(not(or(equiv(X0,implies(X1,not(X2))),X3)),X4),or(equiv(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))),implies(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))),X4)))) ),
inference(paramodulation,[status(thm)],[f1034,f621]) ).
fof(f6725,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),X4),implies(or(X5,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0)))),or(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f1034,f604]) ).
fof(f6726,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),X4),implies(implies(X5,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0)))),implies(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f1034,f620]) ).
fof(f6727,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),implies(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0)))))) ),
inference(paramodulation,[status(thm)],[f1034,f599]) ).
fof(f6728,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),implies(or(X4,implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))),or(X4,not(or(equiv(X1,implies(X2,not(X3))),X0)))))) ),
inference(paramodulation,[status(thm)],[f1034,f598]) ).
fof(f6729,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),implies(implies(X4,implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))),implies(X4,not(or(equiv(X1,implies(X2,not(X3))),X0)))))) ),
inference(paramodulation,[status(thm)],[f1034,f619]) ).
fof(f6730,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ34_spl
| is_a_theorem(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0)))))) ),
inference(paramodulation,[status(thm)],[f1034,f600]) ).
fof(f6731,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X4)
| ~ is_a_theorem(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),X4))
| ~ is_a_theorem(implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0)))) ),
inference(paramodulation,[status(thm)],[f1034,f605]) ).
fof(f6732,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X5,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0)))),or(X5,X4)))
| ~ is_a_theorem(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),X4)) ),
inference(paramodulation,[status(thm)],[f1034,f616]) ).
fof(f6733,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))),X4) = and(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),X4),implies(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))))) ),
inference(paramodulation,[status(thm)],[f1034,f607]) ).
fof(f6735,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))),X4) = not(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(X4))) ),
inference(paramodulation,[status(thm)],[f1034,f602]) ).
fof(f6736,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(equiv(X0,implies(X1,not(X2))),X3)),implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))) = not(implies(implies(not(or(equiv(X0,implies(X1,not(X2))),X3)),implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))),equiv(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))) ),
inference(paramodulation,[status(thm)],[f1034,f592]) ).
fof(f6737,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(or(equiv(X1,not(X2)),implies(X3,not(X4))),not(or(and(X3,X4),or(and(X1,X2),not(implies(not(X2),X1))))))) = and(implies(X0,implies(or(equiv(X1,not(X2)),implies(X3,not(X4))),not(or(and(X3,X4),or(and(X1,X2),not(implies(not(X2),X1))))))),or(equiv(or(and(X1,X2),not(implies(not(X2),X1))),implies(X3,not(X4))),X0)) ),
inference(forward_demodulation,[status(thm)],[f755,f6673]) ).
fof(f6738,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(or(equiv(not(X1),X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(implies(not(X1),X2),and(X2,X1)))))) = and(implies(X0,implies(or(equiv(not(X1),X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(implies(not(X1),X2),and(X2,X1)))))),or(equiv(implies(implies(not(X1),X2),and(X2,X1)),implies(X3,not(X4))),X0)) ),
inference(forward_demodulation,[status(thm)],[f727,f6674]) ).
fof(f6810,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(or(and(X2,X3),implies(X4,not(X5))),not(or(and(X4,X5),implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),implies(X4,not(X5))),X1)))) = and(implies(X0,implies(implies(X1,implies(or(and(X2,X3),implies(X4,not(X5))),not(or(and(X4,X5),implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),implies(X4,not(X5))),X1)))),or(equiv(X1,implies(or(and(X2,X3),implies(X4,not(X5))),not(or(and(X4,X5),implies(X2,not(X3)))))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1027,f6692]) ).
fof(f6811,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1)))) = and(implies(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1)))),or(equiv(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),X0)) ),
inference(forward_demodulation,[status(thm)],[f607,f6693]) ).
fof(f6839,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(implies(X2,implies(implies(X3,implies(X4,not(X5))),not(or(and(X4,X5),X3)))),not(or(equiv(X3,implies(X4,not(X5))),X2)))),not(or(equiv(X2,implies(implies(X3,implies(X4,not(X5))),not(or(and(X4,X5),X3)))),X1)))) = and(implies(X0,implies(implies(X1,implies(implies(X2,implies(implies(X3,implies(X4,not(X5))),not(or(and(X4,X5),X3)))),not(or(equiv(X3,implies(X4,not(X5))),X2)))),not(or(equiv(X2,implies(implies(X3,implies(X4,not(X5))),not(or(and(X4,X5),X3)))),X1)))),or(equiv(X1,implies(implies(X2,implies(implies(X3,implies(X4,not(X5))),not(or(and(X4,X5),X3)))),not(or(equiv(X3,implies(X4,not(X5))),X2)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1034,f6697]) ).
fof(f6840,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1)))) = and(implies(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1)))),or(equiv(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f606,f6698]) ).
fof(f6841,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1)))) = and(implies(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1)))),or(equiv(X1,implies(implies(X2,X3),not(implies(X3,X2)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f493,f6699]) ).
fof(f6922,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(or(and(X0,X1),not(implies(not(X1),X0))),implies(implies(X2,X3),not(implies(X3,X2)))) = and(or(equiv(X0,not(X1)),implies(implies(X2,X3),not(implies(X3,X2)))),or(equiv(X2,X3),or(and(X0,X1),not(implies(not(X1),X0))))) ),
inference(paramodulation,[status(thm)],[f755,f1035]) ).
fof(f6923,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(not(X0),X1),and(X1,X0)),implies(implies(X2,X3),not(implies(X3,X2)))) = and(or(equiv(not(X0),X1),implies(implies(X2,X3),not(implies(X3,X2)))),or(equiv(X2,X3),implies(implies(not(X0),X1),and(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f727,f1035]) ).
fof(f6925,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(implies(not(X1),X2),and(X2,X1)),not(implies(and(X2,X1),implies(not(X1),X2))))) = and(implies(X0,or(equiv(not(X1),X2),not(implies(and(X2,X1),implies(not(X1),X2))))),or(equiv(implies(not(X1),X2),and(X2,X1)),X0)) ),
inference(paramodulation,[status(thm)],[f727,f1035]) ).
fof(f6927,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(or(and(X1,X2),not(implies(not(X2),X1))),X3),not(implies(X3,or(and(X1,X2),not(implies(not(X2),X1))))))) = and(implies(X0,implies(or(equiv(X1,not(X2)),X3),not(implies(X3,or(and(X1,X2),not(implies(not(X2),X1))))))),or(equiv(or(and(X1,X2),not(implies(not(X2),X1))),X3),X0)) ),
inference(paramodulation,[status(thm)],[f755,f1035]) ).
fof(f6928,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(implies(implies(not(X1),X2),and(X2,X1)),X3),not(implies(X3,implies(implies(not(X1),X2),and(X2,X1)))))) = and(implies(X0,implies(or(equiv(not(X1),X2),X3),not(implies(X3,implies(implies(not(X1),X2),and(X2,X1)))))),or(equiv(implies(implies(not(X1),X2),and(X2,X1)),X3),X0)) ),
inference(paramodulation,[status(thm)],[f727,f1035]) ).
fof(f6930,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(equiv(X1,X2),implies(not(implies(X2,X1)),implies(X1,X2))),not(implies(implies(not(implies(X2,X1)),implies(X1,X2)),equiv(X1,X2))))) = and(implies(X0,implies(implies(equiv(X1,X2),implies(not(implies(X2,X1)),implies(X1,X2))),equiv(not(implies(X2,X1)),implies(X1,X2)))),or(equiv(equiv(X1,X2),implies(not(implies(X2,X1)),implies(X1,X2))),X0)) ),
inference(paramodulation,[status(thm)],[f719,f1035]) ).
fof(f6931,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(and(X1,X2),implies(not(X2),X1)),not(implies(implies(not(X2),X1),and(X1,X2))))) = and(implies(X0,implies(implies(and(X1,X2),implies(not(X2),X1)),equiv(not(X2),X1))),or(equiv(and(X1,X2),implies(not(X2),X1)),X0)) ),
inference(paramodulation,[status(thm)],[f592,f1035]) ).
fof(f6932,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(and(implies(X1,not(X2)),X3),X4),not(implies(X4,and(implies(X1,not(X2)),X3))))) = and(implies(X0,implies(implies(and(implies(X1,not(X2)),X3),X4),and(X4,or(and(X1,X2),not(X3))))),or(equiv(and(implies(X1,not(X2)),X3),X4),X0)) ),
inference(paramodulation,[status(thm)],[f601,f1035]) ).
fof(f6933,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(and(X1,or(and(X2,X3),not(X4))),X5),not(implies(X5,and(X1,or(and(X2,X3),not(X4))))))) = and(implies(X0,implies(implies(and(X1,or(and(X2,X3),not(X4))),X5),and(X5,implies(X1,and(implies(X2,not(X3)),X4))))),or(equiv(and(X1,or(and(X2,X3),not(X4))),X5),X0)) ),
inference(paramodulation,[status(thm)],[f904,f1035]) ).
fof(f6934,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X6),not(implies(X6,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))) = and(implies(X0,implies(implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X6),and(X6,implies(X1,and(X2,or(and(X3,X4),not(X5))))))),or(equiv(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X6),X0)) ),
inference(paramodulation,[status(thm)],[f903,f1035]) ).
fof(f6936,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(X1,or(and(X2,X3),not(implies(not(X3),X2)))),not(implies(or(and(X2,X3),not(implies(not(X3),X2))),X1)))) = and(implies(X0,implies(implies(X1,or(and(X2,X3),not(implies(not(X3),X2)))),not(or(equiv(X2,not(X3)),X1)))),or(equiv(X1,or(and(X2,X3),not(implies(not(X3),X2)))),X0)) ),
inference(paramodulation,[status(thm)],[f755,f1035]) ).
fof(f6937,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(X1,implies(implies(not(X2),X3),and(X3,X2))),not(implies(implies(implies(not(X2),X3),and(X3,X2)),X1)))) = and(implies(X0,implies(implies(X1,implies(implies(not(X2),X3),and(X3,X2))),not(or(equiv(not(X2),X3),X1)))),or(equiv(X1,implies(implies(not(X2),X3),and(X3,X2))),X0)) ),
inference(paramodulation,[status(thm)],[f727,f1035]) ).
fof(f6939,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(X1,implies(implies(X2,implies(implies(X3,X4),not(implies(X4,X3)))),not(or(equiv(X3,X4),X2)))),not(or(and(implies(X2,implies(implies(X3,X4),not(implies(X4,X3)))),or(equiv(X3,X4),X2)),X1)))) = and(implies(X0,implies(implies(X1,implies(implies(X2,implies(implies(X3,X4),not(implies(X4,X3)))),not(or(equiv(X3,X4),X2)))),not(or(equiv(X2,implies(implies(X3,X4),not(implies(X4,X3)))),X1)))),or(equiv(X1,implies(implies(X2,implies(implies(X3,X4),not(implies(X4,X3)))),not(or(equiv(X3,X4),X2)))),X0)) ),
inference(paramodulation,[status(thm)],[f1035,f1034]) ).
fof(f6940,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(X0,not(X1)),implies(implies(X2,implies(implies(X3,X4),not(implies(X4,X3)))),not(or(equiv(X3,X4),X2)))) = and(or(and(X0,X1),implies(implies(X2,implies(implies(X3,X4),not(implies(X4,X3)))),not(or(equiv(X3,X4),X2)))),or(equiv(X2,implies(implies(X3,X4),not(implies(X4,X3)))),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1035,f1027]) ).
fof(f6941,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))),implies(X3,not(X4))) = and(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),implies(X3,not(X4))),or(and(X3,X4),implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))))) ),
inference(paramodulation,[status(thm)],[f1035,f1027]) ).
fof(f6944,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(X0,or(equiv(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(implies(not(or(equiv(X2,X3),X1)),implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))))))) = not(implies(X0,equiv(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1))))) ),
inference(paramodulation,[status(thm)],[f1035,f887]) ).
fof(f6946,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| implies(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(implies(not(or(equiv(X1,X2),X0)),implies(X0,implies(implies(X1,X2),not(implies(X2,X1))))))),X3) = or(equiv(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))),X3) ),
inference(paramodulation,[status(thm)],[f1035,f755]) ).
fof(f6947,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| implies(implies(implies(not(or(equiv(X0,X1),X2)),implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))),equiv(X2,implies(implies(X0,X1),not(implies(X1,X0))))),X3) = or(equiv(not(or(equiv(X0,X1),X2)),implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))),X3) ),
inference(paramodulation,[status(thm)],[f1035,f727]) ).
fof(f6948,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(X0,implies(implies(not(or(equiv(X1,X2),X3)),implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))),equiv(X3,implies(implies(X1,X2),not(implies(X2,X1)))))) = not(implies(X0,equiv(not(or(equiv(X1,X2),X3)),implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))))) ),
inference(paramodulation,[status(thm)],[f1035,f726]) ).
fof(f6949,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),implies(or(equiv(X1,X2),X0),not(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))))))) ),
inference(paramodulation,[status(thm)],[f1035,f691]) ).
fof(f6950,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(not(or(equiv(X0,X1),X2)),X3),or(equiv(X2,implies(implies(X0,X1),not(implies(X1,X0)))),implies(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))),X3)))) ),
inference(paramodulation,[status(thm)],[f1035,f621]) ).
fof(f6951,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),X3),implies(or(X4,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0)))),or(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f1035,f604]) ).
fof(f6952,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),X3),implies(implies(X4,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0)))),implies(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f1035,f620]) ).
fof(f6953,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),implies(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0)))))) ),
inference(paramodulation,[status(thm)],[f1035,f599]) ).
fof(f6954,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),implies(or(X3,implies(X0,implies(implies(X1,X2),not(implies(X2,X1))))),or(X3,not(or(equiv(X1,X2),X0)))))) ),
inference(paramodulation,[status(thm)],[f1035,f598]) ).
fof(f6955,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),implies(implies(X3,implies(X0,implies(implies(X1,X2),not(implies(X2,X1))))),implies(X3,not(or(equiv(X1,X2),X0)))))) ),
inference(paramodulation,[status(thm)],[f1035,f619]) ).
fof(f6956,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0)))))) ),
inference(paramodulation,[status(thm)],[f1035,f600]) ).
fof(f6957,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X3)
| ~ is_a_theorem(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),X3))
| ~ is_a_theorem(implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0)))) ),
inference(paramodulation,[status(thm)],[f1035,f605]) ).
fof(f6958,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X4,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0)))),or(X4,X3)))
| ~ is_a_theorem(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),X3)) ),
inference(paramodulation,[status(thm)],[f1035,f616]) ).
fof(f6959,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))),X3) = and(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),X3),implies(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))))) ),
inference(paramodulation,[status(thm)],[f1035,f607]) ).
fof(f6961,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))),X3) = not(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(X3))) ),
inference(paramodulation,[status(thm)],[f1035,f602]) ).
fof(f6962,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(or(equiv(X0,X1),X2)),implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))) = not(implies(implies(not(or(equiv(X0,X1),X2)),implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))),equiv(X2,implies(implies(X0,X1),not(implies(X1,X0)))))) ),
inference(paramodulation,[status(thm)],[f1035,f592]) ).
fof(f6963,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,or(equiv(not(X1),X2),not(implies(and(X2,X1),implies(not(X1),X2))))) = and(implies(X0,or(equiv(not(X1),X2),not(implies(and(X2,X1),implies(not(X1),X2))))),or(equiv(implies(not(X1),X2),and(X2,X1)),X0)) ),
inference(forward_demodulation,[status(thm)],[f727,f6925]) ).
fof(f6965,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(or(equiv(X1,not(X2)),X3),not(implies(X3,or(and(X1,X2),not(implies(not(X2),X1))))))) = and(implies(X0,implies(or(equiv(X1,not(X2)),X3),not(implies(X3,or(and(X1,X2),not(implies(not(X2),X1))))))),or(equiv(or(and(X1,X2),not(implies(not(X2),X1))),X3),X0)) ),
inference(forward_demodulation,[status(thm)],[f755,f6927]) ).
fof(f6966,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(or(equiv(not(X1),X2),X3),not(implies(X3,implies(implies(not(X1),X2),and(X2,X1)))))) = and(implies(X0,implies(or(equiv(not(X1),X2),X3),not(implies(X3,implies(implies(not(X1),X2),and(X2,X1)))))),or(equiv(implies(implies(not(X1),X2),and(X2,X1)),X3),X0)) ),
inference(forward_demodulation,[status(thm)],[f727,f6928]) ).
fof(f6968,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(equiv(X1,X2),implies(not(implies(X2,X1)),implies(X1,X2))),equiv(not(implies(X2,X1)),implies(X1,X2)))) = and(implies(X0,implies(implies(equiv(X1,X2),implies(not(implies(X2,X1)),implies(X1,X2))),equiv(not(implies(X2,X1)),implies(X1,X2)))),or(equiv(equiv(X1,X2),implies(not(implies(X2,X1)),implies(X1,X2))),X0)) ),
inference(forward_demodulation,[status(thm)],[f719,f6930]) ).
fof(f6970,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(and(X1,X2),implies(not(X2),X1)),equiv(not(X2),X1))) = and(implies(X0,implies(implies(and(X1,X2),implies(not(X2),X1)),equiv(not(X2),X1))),or(equiv(and(X1,X2),implies(not(X2),X1)),X0)) ),
inference(forward_demodulation,[status(thm)],[f592,f6931]) ).
fof(f6971,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(and(implies(X1,not(X2)),X3),X4),and(X4,or(and(X1,X2),not(X3))))) = and(implies(X0,implies(implies(and(implies(X1,not(X2)),X3),X4),and(X4,or(and(X1,X2),not(X3))))),or(equiv(and(implies(X1,not(X2)),X3),X4),X0)) ),
inference(forward_demodulation,[status(thm)],[f601,f6932]) ).
fof(f6972,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(and(X1,or(and(X2,X3),not(X4))),X5),and(X5,implies(X1,and(implies(X2,not(X3)),X4))))) = and(implies(X0,implies(implies(and(X1,or(and(X2,X3),not(X4))),X5),and(X5,implies(X1,and(implies(X2,not(X3)),X4))))),or(equiv(and(X1,or(and(X2,X3),not(X4))),X5),X0)) ),
inference(forward_demodulation,[status(thm)],[f904,f6933]) ).
fof(f6973,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X6),and(X6,implies(X1,and(X2,or(and(X3,X4),not(X5))))))) = and(implies(X0,implies(implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X6),and(X6,implies(X1,and(X2,or(and(X3,X4),not(X5))))))),or(equiv(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X6),X0)) ),
inference(forward_demodulation,[status(thm)],[f903,f6934]) ).
fof(f6975,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(X1,or(and(X2,X3),not(implies(not(X3),X2)))),not(or(equiv(X2,not(X3)),X1)))) = and(implies(X0,implies(implies(X1,or(and(X2,X3),not(implies(not(X3),X2)))),not(or(equiv(X2,not(X3)),X1)))),or(equiv(X1,or(and(X2,X3),not(implies(not(X3),X2)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f755,f6936]) ).
fof(f6976,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(X1,implies(implies(not(X2),X3),and(X3,X2))),not(or(equiv(not(X2),X3),X1)))) = and(implies(X0,implies(implies(X1,implies(implies(not(X2),X3),and(X3,X2))),not(or(equiv(not(X2),X3),X1)))),or(equiv(X1,implies(implies(not(X2),X3),and(X3,X2))),X0)) ),
inference(forward_demodulation,[status(thm)],[f727,f6937]) ).
fof(f6978,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(X1,implies(implies(X2,implies(implies(X3,X4),not(implies(X4,X3)))),not(or(equiv(X3,X4),X2)))),not(or(equiv(X2,implies(implies(X3,X4),not(implies(X4,X3)))),X1)))) = and(implies(X0,implies(implies(X1,implies(implies(X2,implies(implies(X3,X4),not(implies(X4,X3)))),not(or(equiv(X3,X4),X2)))),not(or(equiv(X2,implies(implies(X3,X4),not(implies(X4,X3)))),X1)))),or(equiv(X1,implies(implies(X2,implies(implies(X3,X4),not(implies(X4,X3)))),not(or(equiv(X3,X4),X2)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1035,f6939]) ).
fof(f6983,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(or(X0,implies(X1,X2)),not(X2))) ),
inference(resolution,[status(thm)],[f1578,f668]) ).
fof(f6984,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,or(X2,implies(X3,X1))))) ),
inference(resolution,[status(thm)],[f1578,f618]) ).
fof(f6985,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,X1),or(X0,or(X2,implies(X3,X1))))) ),
inference(resolution,[status(thm)],[f1578,f568]) ).
fof(f6986,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X1,implies(X2,X0)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1578,f176]) ).
fof(f6987,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,or(X1,implies(X2,X0)))))) ),
inference(resolution,[status(thm)],[f1578,f2548]) ).
fof(f6988,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,or(X2,implies(X3,X1))))) ),
inference(resolution,[status(thm)],[f1578,f588]) ).
fof(f6989,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,implies(X3,X1))))) ),
inference(resolution,[status(thm)],[f1578,f591]) ).
fof(f6990,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(X0,or(X1,implies(X2,X0))),implies(X0,or(X1,implies(X2,X0))))) ),
inference(resolution,[status(thm)],[f1578,f696]) ).
fof(f6991,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(equiv(X0,not(X1)),or(X2,implies(X3,or(and(X0,X1),not(implies(not(X1),X0))))))) ),
inference(paramodulation,[status(thm)],[f755,f1578]) ).
fof(f6992,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(equiv(not(X0),X1),or(X2,implies(X3,implies(implies(not(X0),X1),and(X1,X0)))))) ),
inference(paramodulation,[status(thm)],[f727,f1578]) ).
fof(f6993,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(and(X0,X1),or(X2,implies(X3,implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f566,f1578]) ).
fof(f6997,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))) ),
inference(paramodulation,[status(thm)],[f486,f1578]) ).
fof(f7003,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))) = not(or(equiv(X0,implies(X1,not(X2))),not(implies(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f493,f1039]) ).
fof(f7007,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(or(equiv(X0,not(X1)),implies(X2,not(X3))),not(or(and(X2,X3),or(and(X0,X1),not(implies(not(X1),X0)))))),X4) = not(or(equiv(or(and(X0,X1),not(implies(not(X1),X0))),implies(X2,not(X3))),not(X4))) ),
inference(paramodulation,[status(thm)],[f755,f1039]) ).
fof(f7008,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(or(equiv(not(X0),X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(implies(not(X0),X1),and(X1,X0))))),X4) = not(or(equiv(implies(implies(not(X0),X1),and(X1,X0)),implies(X2,not(X3))),not(X4))) ),
inference(paramodulation,[status(thm)],[f727,f1039]) ).
fof(f7026,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(implies(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),implies(X3,not(X4))),X0))),X5) = not(or(equiv(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2)))))),not(X5))) ),
inference(paramodulation,[status(thm)],[f1027,f1039]) ).
fof(f7027,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))),X4) = not(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(X4))) ),
inference(paramodulation,[status(thm)],[f607,f1039]) ).
fof(f7032,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(implies(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1)))),not(or(equiv(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),X0))),X5) = not(or(equiv(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1)))),not(X5))) ),
inference(paramodulation,[status(thm)],[f1034,f1039]) ).
fof(f7033,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(implies(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1)))),not(or(equiv(X1,implies(implies(X2,X3),not(implies(X3,X2)))),X0))),X4) = not(or(equiv(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1)))),not(X4))) ),
inference(paramodulation,[status(thm)],[f1035,f1039]) ).
fof(f7309,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(and(or(and(X0,X1),implies(X2,not(X3))),or(and(X2,X3),implies(X0,not(X1)))),X4)),implies(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))))) = not(implies(implies(not(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),X4)),implies(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))))),equiv(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f1027,f1043]) ).
fof(f7310,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(and(or(and(X0,X1),X2),implies(X2,implies(X0,not(X1)))),X3)),implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))) = not(implies(implies(not(or(equiv(implies(X0,not(X1)),X2),X3)),implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))),equiv(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))) ),
inference(paramodulation,[status(thm)],[f607,f1043]) ).
fof(f7315,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(and(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(equiv(X1,implies(X2,not(X3))),X0)),X4)),implies(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))))) = not(implies(implies(not(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),X4)),implies(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))))),equiv(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0)))))) ),
inference(paramodulation,[status(thm)],[f1034,f1043]) ).
fof(f7316,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(or(and(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(equiv(X1,X2),X0)),X3)),implies(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))))) = not(implies(implies(not(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),X3)),implies(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))))),equiv(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0)))))) ),
inference(paramodulation,[status(thm)],[f1035,f1043]) ).
fof(f7322,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(or(and(X0,X1),or(and(X2,X3),not(implies(not(X3),X2))))),implies(or(and(X2,X3),not(implies(not(X3),X2))),implies(X0,not(X1)))) = not(implies(implies(not(or(and(X0,X1),or(and(X2,X3),not(implies(not(X3),X2))))),or(equiv(X2,not(X3)),implies(X0,not(X1)))),equiv(or(and(X2,X3),not(implies(not(X3),X2))),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f755,f1043]) ).
fof(f7323,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(or(and(X0,X1),implies(implies(not(X2),X3),and(X3,X2)))),implies(implies(implies(not(X2),X3),and(X3,X2)),implies(X0,not(X1)))) = not(implies(implies(not(or(and(X0,X1),implies(implies(not(X2),X3),and(X3,X2)))),or(equiv(not(X2),X3),implies(X0,not(X1)))),equiv(implies(implies(not(X2),X3),and(X3,X2)),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f727,f1043]) ).
fof(f7349,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(equiv(X1,implies(X2,not(X3))),implies(not(or(and(X2,X3),X1)),implies(X1,implies(X2,not(X3))))),not(implies(implies(not(or(and(X2,X3),X1)),implies(X1,implies(X2,not(X3)))),equiv(X1,implies(X2,not(X3))))))) = and(implies(X0,implies(implies(equiv(X1,implies(X2,not(X3))),implies(not(or(and(X2,X3),X1)),implies(X1,implies(X2,not(X3))))),equiv(not(or(and(X2,X3),X1)),implies(X1,implies(X2,not(X3)))))),or(equiv(equiv(X1,implies(X2,not(X3))),implies(not(or(and(X2,X3),X1)),implies(X1,implies(X2,not(X3))))),X0)) ),
inference(paramodulation,[status(thm)],[f1043,f1035]) ).
fof(f7350,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(implies(equiv(X0,implies(X1,not(X2))),implies(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))),equiv(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))),X3) = not(or(equiv(equiv(X0,implies(X1,not(X2))),implies(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))),not(X3))) ),
inference(paramodulation,[status(thm)],[f1043,f922]) ).
fof(f7351,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),equiv(X2,implies(X0,not(X1))))),implies(equiv(X2,implies(X0,not(X1))),implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))))) = not(implies(implies(equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),implies(equiv(X2,implies(X0,not(X1))),implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))))),equiv(equiv(X2,implies(X0,not(X1))),implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1043,f719]) ).
fof(f7376,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,equiv(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2))))),implies(implies(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),equiv(X3,implies(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1043,f3312]) ).
fof(f7379,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(X0,equiv(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2))))),implies(implies(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),equiv(X3,implies(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1043,f3229]) ).
fof(f7381,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ70_spl
| is_a_theorem(or(and(implies(implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),equiv(X2,implies(X0,not(X1)))),X3),implies(X3,equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1043,f691]) ).
fof(f7382,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),equiv(X2,implies(X0,not(X1)))),implies(X3,equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1043,f3161]) ).
fof(f7383,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(or(implies(implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),equiv(X2,implies(X0,not(X1)))),equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1))))),X3)) ),
inference(paramodulation,[status(thm)],[f1043,f3097]) ).
fof(f7384,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),equiv(X2,implies(X0,not(X1)))),or(X3,equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1043,f3096]) ).
fof(f7385,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(implies(implies(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),equiv(X3,implies(X1,not(X2)))),equiv(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1043,f2475]) ).
fof(f7387,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(implies(implies(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),equiv(X3,implies(X1,not(X2)))),equiv(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1043,f2474]) ).
fof(f7388,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,implies(implies(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),equiv(X3,implies(X1,not(X2))))),equiv(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1043,f2436]) ).
fof(f7389,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(X0,implies(implies(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),equiv(X3,implies(X1,not(X2))))),equiv(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1043,f2434]) ).
fof(f7393,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(implies(implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),equiv(X2,implies(X0,not(X1)))),equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f1043,f2646]) ).
fof(f7398,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),equiv(X2,implies(X0,not(X1)))),equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1043,f2438]) ).
fof(f7429,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),X4)),implies(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))))) = not(implies(implies(not(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),X4)),implies(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))))),equiv(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1)))))))) ),
inference(forward_demodulation,[status(thm)],[f1027,f7309]) ).
fof(f7430,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(equiv(implies(X0,not(X1)),X2),X3)),implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))) = not(implies(implies(not(or(equiv(implies(X0,not(X1)),X2),X3)),implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))),equiv(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))) ),
inference(forward_demodulation,[status(thm)],[f607,f7310]) ).
fof(f7467,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),X4)),implies(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))))) = not(implies(implies(not(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),X4)),implies(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))))),equiv(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1034,f7315]) ).
fof(f7468,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),X3)),implies(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))))) = not(implies(implies(not(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),X3)),implies(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))))),equiv(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1035,f7316]) ).
fof(f7492,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(or(and(X0,X1),or(and(X2,X3),not(implies(not(X3),X2))))),or(equiv(X2,not(X3)),implies(X0,not(X1)))) = not(implies(implies(not(or(and(X0,X1),or(and(X2,X3),not(implies(not(X3),X2))))),or(equiv(X2,not(X3)),implies(X0,not(X1)))),equiv(or(and(X2,X3),not(implies(not(X3),X2))),implies(X0,not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f755,f7322]) ).
fof(f7493,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(or(and(X0,X1),implies(implies(not(X2),X3),and(X3,X2)))),or(equiv(not(X2),X3),implies(X0,not(X1)))) = not(implies(implies(not(or(and(X0,X1),implies(implies(not(X2),X3),and(X3,X2)))),or(equiv(not(X2),X3),implies(X0,not(X1)))),equiv(implies(implies(not(X2),X3),and(X3,X2)),implies(X0,not(X1))))) ),
inference(forward_demodulation,[status(thm)],[f727,f7323]) ).
fof(f7619,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(equiv(X1,implies(X2,not(X3))),implies(not(or(and(X2,X3),X1)),implies(X1,implies(X2,not(X3))))),equiv(not(or(and(X2,X3),X1)),implies(X1,implies(X2,not(X3)))))) = and(implies(X0,implies(implies(equiv(X1,implies(X2,not(X3))),implies(not(or(and(X2,X3),X1)),implies(X1,implies(X2,not(X3))))),equiv(not(or(and(X2,X3),X1)),implies(X1,implies(X2,not(X3)))))),or(equiv(equiv(X1,implies(X2,not(X3))),implies(not(or(and(X2,X3),X1)),implies(X1,implies(X2,not(X3))))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1043,f7349]) ).
fof(f7620,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),implies(equiv(X2,implies(X0,not(X1))),implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))))) = not(implies(implies(equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),implies(equiv(X2,implies(X0,not(X1))),implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))))),equiv(equiv(X2,implies(X0,not(X1))),implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f1043,f7351]) ).
fof(f7737,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X1,implies(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1559,f176]) ).
fof(f7738,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,or(X1,implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f1559,f2548]) ).
fof(f7739,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1559,f588]) ).
fof(f7740,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1559,f591]) ).
fof(f7741,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(X0,or(X1,implies(X2,X2))),implies(X0,or(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f1559,f696]) ).
fof(f7749,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,or(equiv(X2,not(X3)),or(and(X2,X3),not(implies(not(X3),X2))))))) ),
inference(paramodulation,[status(thm)],[f755,f1559]) ).
fof(f7750,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,or(equiv(not(X2),X3),implies(implies(not(X2),X3),and(X3,X2)))))) ),
inference(paramodulation,[status(thm)],[f727,f1559]) ).
fof(f7751,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,or(and(X2,X3),implies(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f566,f1559]) ).
fof(f7752,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| sQ100_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f7737,f1022,f4017,f442,f485,f297,f220,f175]) ).
fof(f7765,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),or(and(X3,X4),not(implies(not(X4),X3)))) = and(or(equiv(implies(X0,not(X1)),X2),or(and(X3,X4),not(implies(not(X4),X3)))),or(equiv(X3,not(X4)),implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f755,f1062]) ).
fof(f7766,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),implies(implies(not(X3),X4),and(X4,X3))) = and(or(equiv(implies(X0,not(X1)),X2),implies(implies(not(X3),X4),and(X4,X3))),or(equiv(not(X3),X4),implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f727,f1062]) ).
fof(f7768,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(and(X0,X1),not(implies(not(X1),X0))),not(implies(not(implies(not(X1),X0)),implies(X0,not(X1))))),X2) = and(or(equiv(implies(X0,not(X1)),not(implies(not(X1),X0))),X2),implies(X2,or(equiv(X0,not(X1)),not(implies(not(implies(not(X1),X0)),implies(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f755,f1062]) ).
fof(f7772,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(and(or(equiv(implies(X0,not(X1)),X2),X3),implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))),X4),not(implies(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))))),X5) = and(or(equiv(implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))),X4),X5),implies(X5,implies(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4),not(implies(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))))))) ),
inference(paramodulation,[status(thm)],[f1062,f1062]) ).
fof(f7773,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(and(or(and(X0,X1),implies(X2,not(X3))),or(and(X2,X3),implies(X0,not(X1)))),X4),not(implies(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1)))))))),X5) = and(or(equiv(implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))),X4),X5),implies(X5,implies(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),X4),not(implies(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1)))))))))) ),
inference(paramodulation,[status(thm)],[f1027,f1062]) ).
fof(f7774,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(and(or(and(X0,X1),X2),implies(X2,implies(X0,not(X1)))),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))),X4) = and(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4),implies(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))))) ),
inference(paramodulation,[status(thm)],[f607,f1062]) ).
fof(f7779,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(and(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(equiv(X1,implies(X2,not(X3))),X0)),X4),not(implies(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0)))))),X5) = and(or(equiv(implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))),X4),X5),implies(X5,implies(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),X4),not(implies(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0)))))))) ),
inference(paramodulation,[status(thm)],[f1034,f1062]) ).
fof(f7780,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(and(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(equiv(X1,X2),X0)),X3),not(implies(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0)))))),X4) = and(or(equiv(implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))),X3),X4),implies(X4,implies(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),X3),not(implies(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0)))))))) ),
inference(paramodulation,[status(thm)],[f1035,f1062]) ).
fof(f7781,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(and(implies(X0,implies(X1,not(X2))),or(and(X1,X2),X0)),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))),X4) = and(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4),implies(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))))) ),
inference(paramodulation,[status(thm)],[f606,f1062]) ).
fof(f7782,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(and(implies(X0,X1),implies(X1,X0)),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))),X3) = and(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3),implies(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))))) ),
inference(paramodulation,[status(thm)],[f493,f1062]) ).
fof(f7786,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(and(X0,X1),or(and(X2,X3),not(implies(not(X3),X2)))),not(implies(or(and(X2,X3),not(implies(not(X3),X2))),implies(X0,not(X1))))),X4) = and(or(equiv(implies(X0,not(X1)),or(and(X2,X3),not(implies(not(X3),X2)))),X4),implies(X4,implies(or(and(X0,X1),or(and(X2,X3),not(implies(not(X3),X2)))),not(or(equiv(X2,not(X3)),implies(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f755,f1062]) ).
fof(f7787,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(and(X0,X1),implies(implies(not(X2),X3),and(X3,X2))),not(implies(implies(implies(not(X2),X3),and(X3,X2)),implies(X0,not(X1))))),X4) = and(or(equiv(implies(X0,not(X1)),implies(implies(not(X2),X3),and(X3,X2))),X4),implies(X4,implies(or(and(X0,X1),implies(implies(not(X2),X3),and(X3,X2))),not(or(equiv(not(X2),X3),implies(X0,not(X1))))))) ),
inference(paramodulation,[status(thm)],[f727,f1062]) ).
fof(f7801,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(and(or(equiv(implies(X0,not(X1)),X2),X3),implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))),X4)),implies(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))))) = not(implies(implies(not(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4)),implies(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))))),equiv(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))))) ),
inference(paramodulation,[status(thm)],[f1062,f1043]) ).
fof(f7802,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(implies(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))))),not(or(equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X4),X0))),X5) = not(or(equiv(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))))),not(X5))) ),
inference(paramodulation,[status(thm)],[f1062,f1039]) ).
fof(f7803,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(or(equiv(implies(X2,not(X3)),X4),X5),not(implies(X5,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))))))),not(or(and(or(equiv(implies(X2,not(X3)),X4),X5),implies(X5,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))))),X1)))) = and(implies(X0,implies(implies(X1,implies(or(equiv(implies(X2,not(X3)),X4),X5),not(implies(X5,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))))))),not(or(equiv(implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))),X5),X1)))),or(equiv(X1,implies(or(equiv(implies(X2,not(X3)),X4),X5),not(implies(X5,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))))))),X0)) ),
inference(paramodulation,[status(thm)],[f1062,f1034]) ).
fof(f7804,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(X0,not(X1)),implies(or(equiv(implies(X2,not(X3)),X4),X5),not(implies(X5,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))))))) = and(or(and(X0,X1),implies(or(equiv(implies(X2,not(X3)),X4),X5),not(implies(X5,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))))))),or(equiv(implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))),X5),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1062,f1027]) ).
fof(f7805,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))),implies(X4,not(X5))) = and(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),implies(X4,not(X5))),or(and(X4,X5),implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))))) ),
inference(paramodulation,[status(thm)],[f1062,f1027]) ).
fof(f7808,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,or(equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X4),not(implies(not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))),or(equiv(implies(X1,not(X2)),X3),X4))))) = not(implies(X0,equiv(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))))) ),
inference(paramodulation,[status(thm)],[f1062,f887]) ).
fof(f7810,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),not(implies(not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))),or(equiv(implies(X0,not(X1)),X2),X3)))),X4) = or(equiv(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))),X4) ),
inference(paramodulation,[status(thm)],[f1062,f755]) ).
fof(f7811,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(not(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))),or(equiv(implies(X1,not(X2)),X3),X0)),equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X0)),X4) = or(equiv(not(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))),or(equiv(implies(X1,not(X2)),X3),X0)),X4) ),
inference(paramodulation,[status(thm)],[f1062,f727]) ).
fof(f7812,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(not(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))))),or(equiv(implies(X2,not(X3)),X4),X1)),equiv(implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))),X1))) = not(implies(X0,equiv(not(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))))),or(equiv(implies(X2,not(X3)),X4),X1)))) ),
inference(paramodulation,[status(thm)],[f1062,f726]) ).
fof(f7813,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),implies(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))),not(or(equiv(implies(X0,not(X1)),X2),X3))))) ),
inference(paramodulation,[status(thm)],[f1062,f691]) ).
fof(f7814,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(not(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))),X4),or(equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X0),implies(or(equiv(implies(X1,not(X2)),X3),X0),X4)))) ),
inference(paramodulation,[status(thm)],[f1062,f621]) ).
fof(f7815,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4),implies(or(X5,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))),or(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f1062,f604]) ).
fof(f7816,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4),implies(implies(X5,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))),implies(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f1062,f620]) ).
fof(f7817,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),implies(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))))) ),
inference(paramodulation,[status(thm)],[f1062,f599]) ).
fof(f7818,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),implies(or(X4,or(equiv(implies(X0,not(X1)),X2),X3)),or(X4,not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))))) ),
inference(paramodulation,[status(thm)],[f1062,f598]) ).
fof(f7819,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),implies(implies(X4,or(equiv(implies(X0,not(X1)),X2),X3)),implies(X4,not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))))) ),
inference(paramodulation,[status(thm)],[f1062,f619]) ).
fof(f7820,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ34_spl
| is_a_theorem(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),or(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))))) ),
inference(paramodulation,[status(thm)],[f1062,f600]) ).
fof(f7821,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X4)
| ~ is_a_theorem(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4))
| ~ is_a_theorem(implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))) ),
inference(paramodulation,[status(thm)],[f1062,f605]) ).
fof(f7822,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X5,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))),or(X5,X4)))
| ~ is_a_theorem(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4)) ),
inference(paramodulation,[status(thm)],[f1062,f616]) ).
fof(f7824,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))))) = and(implies(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))))),or(equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X4),X0)) ),
inference(paramodulation,[status(thm)],[f1062,f606]) ).
fof(f7825,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))),X4) = not(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),not(X4))) ),
inference(paramodulation,[status(thm)],[f1062,f602]) ).
fof(f7826,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))),or(equiv(implies(X1,not(X2)),X3),X0)) = not(implies(implies(not(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))),or(equiv(implies(X1,not(X2)),X3),X0)),equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X0))) ),
inference(paramodulation,[status(thm)],[f1062,f592]) ).
fof(f7889,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(or(equiv(X0,not(X1)),not(implies(not(implies(not(X1),X0)),implies(X0,not(X1))))),X2) = and(or(equiv(implies(X0,not(X1)),not(implies(not(X1),X0))),X2),implies(X2,or(equiv(X0,not(X1)),not(implies(not(implies(not(X1),X0)),implies(X0,not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f755,f7768]) ).
fof(f7902,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4),not(implies(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))))),X5) = and(or(equiv(implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))),X4),X5),implies(X5,implies(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4),not(implies(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))))))) ),
inference(forward_demodulation,[status(thm)],[f1062,f7772]) ).
fof(f7903,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),X4),not(implies(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1)))))))),X5) = and(or(equiv(implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))),X4),X5),implies(X5,implies(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),X4),not(implies(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1)))))))))) ),
inference(forward_demodulation,[status(thm)],[f1027,f7773]) ).
fof(f7904,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))),X4) = and(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4),implies(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))))) ),
inference(forward_demodulation,[status(thm)],[f607,f7774]) ).
fof(f7941,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),X4),not(implies(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0)))))),X5) = and(or(equiv(implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))),X4),X5),implies(X5,implies(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),X4),not(implies(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0)))))))) ),
inference(forward_demodulation,[status(thm)],[f1034,f7779]) ).
fof(f7942,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),X3),not(implies(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0)))))),X4) = and(or(equiv(implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))),X3),X4),implies(X4,implies(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),X3),not(implies(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0)))))))) ),
inference(forward_demodulation,[status(thm)],[f1035,f7780]) ).
fof(f7943,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))),X4) = and(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4),implies(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))))) ),
inference(forward_demodulation,[status(thm)],[f606,f7781]) ).
fof(f7944,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))),X3) = and(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3),implies(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))))) ),
inference(forward_demodulation,[status(thm)],[f493,f7782]) ).
fof(f7966,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(and(X0,X1),or(and(X2,X3),not(implies(not(X3),X2)))),not(or(equiv(X2,not(X3)),implies(X0,not(X1))))),X4) = and(or(equiv(implies(X0,not(X1)),or(and(X2,X3),not(implies(not(X3),X2)))),X4),implies(X4,implies(or(and(X0,X1),or(and(X2,X3),not(implies(not(X3),X2)))),not(or(equiv(X2,not(X3)),implies(X0,not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f755,f7786]) ).
fof(f7967,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(and(X0,X1),implies(implies(not(X2),X3),and(X3,X2))),not(or(equiv(not(X2),X3),implies(X0,not(X1))))),X4) = and(or(equiv(implies(X0,not(X1)),implies(implies(not(X2),X3),and(X3,X2))),X4),implies(X4,implies(or(and(X0,X1),implies(implies(not(X2),X3),and(X3,X2))),not(or(equiv(not(X2),X3),implies(X0,not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f727,f7787]) ).
fof(f8031,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4)),implies(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))))) = not(implies(implies(not(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4)),implies(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))))),equiv(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))))) ),
inference(forward_demodulation,[status(thm)],[f1062,f7801]) ).
fof(f8032,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(or(equiv(implies(X2,not(X3)),X4),X5),not(implies(X5,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))))))),not(or(equiv(implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))),X5),X1)))) = and(implies(X0,implies(implies(X1,implies(or(equiv(implies(X2,not(X3)),X4),X5),not(implies(X5,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))))))),not(or(equiv(implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))),X5),X1)))),or(equiv(X1,implies(or(equiv(implies(X2,not(X3)),X4),X5),not(implies(X5,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3))))))))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1062,f7803]) ).
fof(f8048,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),or(and(X3,X4),not(implies(not(X4),X3)))) = and(or(equiv(X0,implies(X1,not(X2))),or(and(X3,X4),not(implies(not(X4),X3)))),or(equiv(X3,not(X4)),implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))) ),
inference(paramodulation,[status(thm)],[f755,f1063]) ).
fof(f8049,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),implies(implies(not(X3),X4),and(X4,X3))) = and(or(equiv(X0,implies(X1,not(X2))),implies(implies(not(X3),X4),and(X4,X3))),or(equiv(not(X3),X4),implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))) ),
inference(paramodulation,[status(thm)],[f727,f1063]) ).
fof(f8051,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(or(and(X0,X1),not(implies(not(X1),X0))),implies(X2,not(X3))),not(or(and(X2,X3),or(and(X0,X1),not(implies(not(X1),X0)))))),X4) = and(or(equiv(or(and(X0,X1),not(implies(not(X1),X0))),implies(X2,not(X3))),X4),implies(X4,implies(or(equiv(X0,not(X1)),implies(X2,not(X3))),not(or(and(X2,X3),or(and(X0,X1),not(implies(not(X1),X0)))))))) ),
inference(paramodulation,[status(thm)],[f755,f1063]) ).
fof(f8052,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(implies(implies(not(X0),X1),and(X1,X0)),implies(X2,not(X3))),not(or(and(X2,X3),implies(implies(not(X0),X1),and(X1,X0))))),X4) = and(or(equiv(implies(implies(not(X0),X1),and(X1,X0)),implies(X2,not(X3))),X4),implies(X4,implies(or(equiv(not(X0),X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(implies(not(X0),X1),and(X1,X0))))))) ),
inference(paramodulation,[status(thm)],[f727,f1063]) ).
fof(f8071,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))))),not(or(and(or(equiv(implies(X1,not(X2)),X3),X4),implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))),X0))),X5) = and(or(equiv(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))))),X5),implies(X5,implies(implies(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))))),not(or(equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X4),X0))))) ),
inference(paramodulation,[status(thm)],[f1062,f1063]) ).
fof(f8072,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))))),not(or(and(or(equiv(X1,implies(X2,not(X3))),X4),implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))),X0))),X5) = and(or(equiv(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))))),X5),implies(X5,implies(implies(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))))),not(or(equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X4),X0))))) ),
inference(paramodulation,[status(thm)],[f1063,f1063]) ).
fof(f8073,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2)))))),not(or(and(or(and(X1,X2),implies(X3,not(X4))),or(and(X3,X4),implies(X1,not(X2)))),X0))),X5) = and(or(equiv(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2)))))),X5),implies(X5,implies(implies(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),implies(X3,not(X4))),X0))))) ),
inference(paramodulation,[status(thm)],[f1027,f1063]) ).
fof(f8074,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(and(or(and(X1,X2),X3),implies(X3,implies(X1,not(X2)))),X0))),X4) = and(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4),implies(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))))) ),
inference(paramodulation,[status(thm)],[f607,f1063]) ).
fof(f8079,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1)))),not(or(and(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),or(equiv(X2,implies(X3,not(X4))),X1)),X0))),X5) = and(or(equiv(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1)))),X5),implies(X5,implies(implies(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1)))),not(or(equiv(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),X0))))) ),
inference(paramodulation,[status(thm)],[f1034,f1063]) ).
fof(f8080,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1)))),not(or(and(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),or(equiv(X2,X3),X1)),X0))),X4) = and(or(equiv(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1)))),X4),implies(X4,implies(implies(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1)))),not(or(equiv(X1,implies(implies(X2,X3),not(implies(X3,X2)))),X0))))) ),
inference(paramodulation,[status(thm)],[f1035,f1063]) ).
fof(f8086,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(and(or(equiv(X0,implies(X1,not(X2))),X3),implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))),X4),not(implies(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))))),X5) = and(or(equiv(implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))),X4),X5),implies(X5,implies(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4),not(implies(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))))))) ),
inference(paramodulation,[status(thm)],[f1063,f1062]) ).
fof(f8087,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(and(or(equiv(X0,implies(X1,not(X2))),X3),implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))),X4)),implies(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))))) = not(implies(implies(not(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4)),implies(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))))),equiv(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))))) ),
inference(paramodulation,[status(thm)],[f1063,f1043]) ).
fof(f8088,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(implies(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))))),not(or(equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X4),X0))),X5) = not(or(equiv(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))))),not(X5))) ),
inference(paramodulation,[status(thm)],[f1063,f1039]) ).
fof(f8089,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(or(equiv(X2,implies(X3,not(X4))),X5),not(implies(X5,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))))))),not(or(and(or(equiv(X2,implies(X3,not(X4))),X5),implies(X5,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))))),X1)))) = and(implies(X0,implies(implies(X1,implies(or(equiv(X2,implies(X3,not(X4))),X5),not(implies(X5,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))))))),not(or(equiv(implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))),X5),X1)))),or(equiv(X1,implies(or(equiv(X2,implies(X3,not(X4))),X5),not(implies(X5,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))))))),X0)) ),
inference(paramodulation,[status(thm)],[f1063,f1034]) ).
fof(f8090,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(X0,not(X1)),implies(or(equiv(X2,implies(X3,not(X4))),X5),not(implies(X5,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))))))) = and(or(and(X0,X1),implies(or(equiv(X2,implies(X3,not(X4))),X5),not(implies(X5,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))))))),or(equiv(implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))),X5),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1063,f1027]) ).
fof(f8091,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))),implies(X4,not(X5))) = and(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),implies(X4,not(X5))),or(and(X4,X5),implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))))) ),
inference(paramodulation,[status(thm)],[f1063,f1027]) ).
fof(f8094,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,or(equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X4),not(implies(not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))),or(equiv(X1,implies(X2,not(X3))),X4))))) = not(implies(X0,equiv(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))))) ),
inference(paramodulation,[status(thm)],[f1063,f887]) ).
fof(f8096,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),not(implies(not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))),or(equiv(X0,implies(X1,not(X2))),X3)))),X4) = or(equiv(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))),X4) ),
inference(paramodulation,[status(thm)],[f1063,f755]) ).
fof(f8097,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(not(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))),or(equiv(X1,implies(X2,not(X3))),X0)),equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X0)),X4) = or(equiv(not(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))),or(equiv(X1,implies(X2,not(X3))),X0)),X4) ),
inference(paramodulation,[status(thm)],[f1063,f727]) ).
fof(f8098,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(not(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))))),or(equiv(X2,implies(X3,not(X4))),X1)),equiv(implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))),X1))) = not(implies(X0,equiv(not(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))))),or(equiv(X2,implies(X3,not(X4))),X1)))) ),
inference(paramodulation,[status(thm)],[f1063,f726]) ).
fof(f8099,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),implies(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))),not(or(equiv(X0,implies(X1,not(X2))),X3))))) ),
inference(paramodulation,[status(thm)],[f1063,f691]) ).
fof(f8100,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(not(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))),X4),or(equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X0),implies(or(equiv(X1,implies(X2,not(X3))),X0),X4)))) ),
inference(paramodulation,[status(thm)],[f1063,f621]) ).
fof(f8101,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4),implies(or(X5,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))),or(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f1063,f604]) ).
fof(f8102,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4),implies(implies(X5,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))),implies(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f1063,f620]) ).
fof(f8103,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),implies(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))))) ),
inference(paramodulation,[status(thm)],[f1063,f599]) ).
fof(f8104,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),implies(or(X4,or(equiv(X0,implies(X1,not(X2))),X3)),or(X4,not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))))) ),
inference(paramodulation,[status(thm)],[f1063,f598]) ).
fof(f8105,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),implies(implies(X4,or(equiv(X0,implies(X1,not(X2))),X3)),implies(X4,not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))))) ),
inference(paramodulation,[status(thm)],[f1063,f619]) ).
fof(f8106,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ34_spl
| is_a_theorem(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),or(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))))) ),
inference(paramodulation,[status(thm)],[f1063,f600]) ).
fof(f8107,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X4)
| ~ is_a_theorem(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4))
| ~ is_a_theorem(implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))) ),
inference(paramodulation,[status(thm)],[f1063,f605]) ).
fof(f8108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X5,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))),or(X5,X4)))
| ~ is_a_theorem(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4)) ),
inference(paramodulation,[status(thm)],[f1063,f616]) ).
fof(f8110,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))))) = and(implies(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))))),or(equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X4),X0)) ),
inference(paramodulation,[status(thm)],[f1063,f606]) ).
fof(f8111,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))),X4) = not(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),not(X4))) ),
inference(paramodulation,[status(thm)],[f1063,f602]) ).
fof(f8112,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))),or(equiv(X1,implies(X2,not(X3))),X0)) = not(implies(implies(not(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))),or(equiv(X1,implies(X2,not(X3))),X0)),equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X0))) ),
inference(paramodulation,[status(thm)],[f1063,f592]) ).
fof(f8175,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(equiv(X0,not(X1)),implies(X2,not(X3))),not(or(and(X2,X3),or(and(X0,X1),not(implies(not(X1),X0)))))),X4) = and(or(equiv(or(and(X0,X1),not(implies(not(X1),X0))),implies(X2,not(X3))),X4),implies(X4,implies(or(equiv(X0,not(X1)),implies(X2,not(X3))),not(or(and(X2,X3),or(and(X0,X1),not(implies(not(X1),X0)))))))) ),
inference(forward_demodulation,[status(thm)],[f755,f8051]) ).
fof(f8176,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(equiv(not(X0),X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(implies(not(X0),X1),and(X1,X0))))),X4) = and(or(equiv(implies(implies(not(X0),X1),and(X1,X0)),implies(X2,not(X3))),X4),implies(X4,implies(or(equiv(not(X0),X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(implies(not(X0),X1),and(X1,X0))))))) ),
inference(forward_demodulation,[status(thm)],[f727,f8052]) ).
fof(f8254,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))))),not(or(equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X4),X0))),X5) = and(or(equiv(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))))),X5),implies(X5,implies(implies(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))))),not(or(equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X4),X0))))) ),
inference(forward_demodulation,[status(thm)],[f1062,f8071]) ).
fof(f8255,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))))),not(or(equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X4),X0))),X5) = and(or(equiv(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))))),X5),implies(X5,implies(implies(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))))),not(or(equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X4),X0))))) ),
inference(forward_demodulation,[status(thm)],[f1063,f8072]) ).
fof(f8256,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),implies(X3,not(X4))),X0))),X5) = and(or(equiv(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2)))))),X5),implies(X5,implies(implies(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),implies(X3,not(X4))),X0))))) ),
inference(forward_demodulation,[status(thm)],[f1027,f8073]) ).
fof(f8257,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))),X4) = and(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4),implies(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))))) ),
inference(forward_demodulation,[status(thm)],[f607,f8074]) ).
fof(f8294,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1)))),not(or(equiv(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),X0))),X5) = and(or(equiv(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1)))),X5),implies(X5,implies(implies(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1)))),not(or(equiv(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),X0))))) ),
inference(forward_demodulation,[status(thm)],[f1034,f8079]) ).
fof(f8295,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1)))),not(or(equiv(X1,implies(implies(X2,X3),not(implies(X3,X2)))),X0))),X4) = and(or(equiv(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1)))),X4),implies(X4,implies(implies(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1)))),not(or(equiv(X1,implies(implies(X2,X3),not(implies(X3,X2)))),X0))))) ),
inference(forward_demodulation,[status(thm)],[f1035,f8080]) ).
fof(f8319,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4),not(implies(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))))),X5) = and(or(equiv(implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))),X4),X5),implies(X5,implies(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4),not(implies(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))))))) ),
inference(forward_demodulation,[status(thm)],[f1063,f8086]) ).
fof(f8320,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4)),implies(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))))) = not(implies(implies(not(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4)),implies(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))))),equiv(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))))) ),
inference(forward_demodulation,[status(thm)],[f1063,f8087]) ).
fof(f8321,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(or(equiv(X2,implies(X3,not(X4))),X5),not(implies(X5,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))))))),not(or(equiv(implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))),X5),X1)))) = and(implies(X0,implies(implies(X1,implies(or(equiv(X2,implies(X3,not(X4))),X5),not(implies(X5,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))))))),not(or(equiv(implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))),X5),X1)))),or(equiv(X1,implies(or(equiv(X2,implies(X3,not(X4))),X5),not(implies(X5,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2))))))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1063,f8089]) ).
fof(f8325,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(X2,equiv(X3,X3)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f2161,f605]) ).
fof(f8326,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,or(X3,equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f2161,f616]) ).
fof(f8328,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(or(X0,equiv(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f2161,f582]) ).
fof(f8330,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ87_spl
| ~ sQ81_spl
| is_a_theorem(not(not(or(X0,or(X1,equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f2161,f2548]) ).
fof(f8331,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f2161,f588]) ).
fof(f8332,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f2161,f591]) ).
fof(f8333,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ73_spl
| is_a_theorem(and(or(X0,or(X1,equiv(X2,X2))),or(X0,or(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f2161,f696]) ).
fof(f8334,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),or(X3,equiv(X4,X4)))) ),
inference(paramodulation,[status(thm)],[f596,f2161]) ).
fof(f8335,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),or(X4,equiv(X5,X5)))) ),
inference(paramodulation,[status(thm)],[f905,f2161]) ).
fof(f8336,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),or(X5,equiv(X6,X6)))) ),
inference(paramodulation,[status(thm)],[f902,f2161]) ).
fof(f8337,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f486,f2161]) ).
fof(f8338,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(or(and(X1,X2),not(X3)),equiv(X4,X4)))) ),
inference(paramodulation,[status(thm)],[f596,f2161]) ).
fof(f8339,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),equiv(X5,X5)))) ),
inference(paramodulation,[status(thm)],[f905,f2161]) ).
fof(f8340,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),equiv(X6,X6)))) ),
inference(paramodulation,[status(thm)],[f902,f2161]) ).
fof(f8341,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,equiv(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f486,f2161]) ).
fof(f8342,definition,
! [X2,X3] :
( sQ101_spl
<=> is_a_theorem(or(X2,equiv(X3,X3))) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f8343,plain,
! [X0,X1] :
( ~ sQ101_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(component_clause,[status(thm)],[f8342]) ).
fof(f8345,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ101_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f8325,f1005,f8342,f442,f412,f431,f492,f297,f175,f485,f471]) ).
fof(f8346,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,X1),not(implies(X1,X0))),or(and(X2,X3),not(implies(not(X3),X2)))) = and(or(equiv(X0,X1),or(and(X2,X3),not(implies(not(X3),X2)))),or(equiv(X2,not(X3)),implies(implies(X0,X1),not(implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f755,f1064]) ).
fof(f8347,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,X1),not(implies(X1,X0))),implies(implies(not(X2),X3),and(X3,X2))) = and(or(equiv(X0,X1),implies(implies(not(X2),X3),and(X3,X2))),or(equiv(not(X2),X3),implies(implies(X0,X1),not(implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f727,f1064]) ).
fof(f8349,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(implies(not(X0),X1),and(X1,X0)),not(implies(and(X1,X0),implies(not(X0),X1)))),X2) = and(or(equiv(implies(not(X0),X1),and(X1,X0)),X2),implies(X2,or(equiv(not(X0),X1),not(implies(and(X1,X0),implies(not(X0),X1)))))) ),
inference(paramodulation,[status(thm)],[f727,f1064]) ).
fof(f8351,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(or(and(X0,X1),not(implies(not(X1),X0))),X2),not(implies(X2,or(and(X0,X1),not(implies(not(X1),X0)))))),X3) = and(or(equiv(or(and(X0,X1),not(implies(not(X1),X0))),X2),X3),implies(X3,implies(or(equiv(X0,not(X1)),X2),not(implies(X2,or(and(X0,X1),not(implies(not(X1),X0)))))))) ),
inference(paramodulation,[status(thm)],[f755,f1064]) ).
fof(f8352,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(implies(implies(not(X0),X1),and(X1,X0)),X2),not(implies(X2,implies(implies(not(X0),X1),and(X1,X0))))),X3) = and(or(equiv(implies(implies(not(X0),X1),and(X1,X0)),X2),X3),implies(X3,implies(or(equiv(not(X0),X1),X2),not(implies(X2,implies(implies(not(X0),X1),and(X1,X0))))))) ),
inference(paramodulation,[status(thm)],[f727,f1064]) ).
fof(f8354,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(equiv(X0,implies(X1,not(X2))),implies(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))),not(implies(implies(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2)))),equiv(X0,implies(X1,not(X2)))))),X3) = and(or(equiv(equiv(X0,implies(X1,not(X2))),implies(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))),X3),implies(X3,implies(implies(equiv(X0,implies(X1,not(X2))),implies(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))),equiv(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))))) ),
inference(paramodulation,[status(thm)],[f1043,f1064]) ).
fof(f8355,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(equiv(X0,X1),implies(not(implies(X1,X0)),implies(X0,X1))),not(implies(implies(not(implies(X1,X0)),implies(X0,X1)),equiv(X0,X1)))),X2) = and(or(equiv(equiv(X0,X1),implies(not(implies(X1,X0)),implies(X0,X1))),X2),implies(X2,implies(implies(equiv(X0,X1),implies(not(implies(X1,X0)),implies(X0,X1))),equiv(not(implies(X1,X0)),implies(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f719,f1064]) ).
fof(f8356,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(and(X0,X1),implies(not(X1),X0)),not(implies(implies(not(X1),X0),and(X0,X1)))),X2) = and(or(equiv(and(X0,X1),implies(not(X1),X0)),X2),implies(X2,implies(implies(and(X0,X1),implies(not(X1),X0)),equiv(not(X1),X0)))) ),
inference(paramodulation,[status(thm)],[f592,f1064]) ).
fof(f8357,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(and(implies(X0,not(X1)),X2),X3),not(implies(X3,and(implies(X0,not(X1)),X2)))),X4) = and(or(equiv(and(implies(X0,not(X1)),X2),X3),X4),implies(X4,implies(implies(and(implies(X0,not(X1)),X2),X3),and(X3,or(and(X0,X1),not(X2)))))) ),
inference(paramodulation,[status(thm)],[f601,f1064]) ).
fof(f8358,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(and(X0,or(and(X1,X2),not(X3))),X4),not(implies(X4,and(X0,or(and(X1,X2),not(X3)))))),X5) = and(or(equiv(and(X0,or(and(X1,X2),not(X3))),X4),X5),implies(X5,implies(implies(and(X0,or(and(X1,X2),not(X3))),X4),and(X4,implies(X0,and(implies(X1,not(X2)),X3)))))) ),
inference(paramodulation,[status(thm)],[f904,f1064]) ).
fof(f8359,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),not(implies(X5,and(X0,implies(X1,and(implies(X2,not(X3)),X4)))))),X6) = and(or(equiv(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),X6),implies(X6,implies(implies(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),and(X5,implies(X0,and(X1,or(and(X2,X3),not(X4)))))))) ),
inference(paramodulation,[status(thm)],[f903,f1064]) ).
fof(f8361,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,or(and(X1,X2),not(implies(not(X2),X1)))),not(implies(or(and(X1,X2),not(implies(not(X2),X1))),X0))),X3) = and(or(equiv(X0,or(and(X1,X2),not(implies(not(X2),X1)))),X3),implies(X3,implies(implies(X0,or(and(X1,X2),not(implies(not(X2),X1)))),not(or(equiv(X1,not(X2)),X0))))) ),
inference(paramodulation,[status(thm)],[f755,f1064]) ).
fof(f8362,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,implies(implies(not(X1),X2),and(X2,X1))),not(implies(implies(implies(not(X1),X2),and(X2,X1)),X0))),X3) = and(or(equiv(X0,implies(implies(not(X1),X2),and(X2,X1))),X3),implies(X3,implies(implies(X0,implies(implies(not(X1),X2),and(X2,X1))),not(or(equiv(not(X1),X2),X0))))) ),
inference(paramodulation,[status(thm)],[f727,f1064]) ).
fof(f8364,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))))),not(or(and(or(equiv(X1,X2),X3),implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))),X0))),X4) = and(or(equiv(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))))),X4),implies(X4,implies(implies(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))))),not(or(equiv(implies(implies(X1,X2),not(implies(X2,X1))),X3),X0))))) ),
inference(paramodulation,[status(thm)],[f1064,f1063]) ).
fof(f8365,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(and(or(equiv(X0,X1),X2),implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))),X3),not(implies(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))))),X4) = and(or(equiv(implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))),X3),X4),implies(X4,implies(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3),not(implies(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))))))) ),
inference(paramodulation,[status(thm)],[f1064,f1062]) ).
fof(f8366,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(or(and(or(equiv(X0,X1),X2),implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))),X3)),implies(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))))) = not(implies(implies(not(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3)),implies(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))))),equiv(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))))) ),
inference(paramodulation,[status(thm)],[f1064,f1043]) ).
fof(f8367,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(implies(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))))),not(or(equiv(implies(implies(X1,X2),not(implies(X2,X1))),X3),X0))),X4) = not(or(equiv(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))))),not(X4))) ),
inference(paramodulation,[status(thm)],[f1064,f1039]) ).
fof(f8368,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(X1,implies(or(equiv(X2,X3),X4),not(implies(X4,implies(implies(X2,X3),not(implies(X3,X2))))))),not(or(and(or(equiv(X2,X3),X4),implies(X4,implies(implies(X2,X3),not(implies(X3,X2))))),X1)))) = and(implies(X0,implies(implies(X1,implies(or(equiv(X2,X3),X4),not(implies(X4,implies(implies(X2,X3),not(implies(X3,X2))))))),not(or(equiv(implies(implies(X2,X3),not(implies(X3,X2))),X4),X1)))),or(equiv(X1,implies(or(equiv(X2,X3),X4),not(implies(X4,implies(implies(X2,X3),not(implies(X3,X2))))))),X0)) ),
inference(paramodulation,[status(thm)],[f1064,f1034]) ).
fof(f8369,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(X0,not(X1)),implies(or(equiv(X2,X3),X4),not(implies(X4,implies(implies(X2,X3),not(implies(X3,X2))))))) = and(or(and(X0,X1),implies(or(equiv(X2,X3),X4),not(implies(X4,implies(implies(X2,X3),not(implies(X3,X2))))))),or(equiv(implies(implies(X2,X3),not(implies(X3,X2))),X4),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1064,f1027]) ).
fof(f8370,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))),implies(X3,not(X4))) = and(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),implies(X3,not(X4))),or(and(X3,X4),implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))))) ),
inference(paramodulation,[status(thm)],[f1064,f1027]) ).
fof(f8373,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(X0,or(equiv(implies(implies(X1,X2),not(implies(X2,X1))),X3),not(implies(not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))),or(equiv(X1,X2),X3))))) = not(implies(X0,equiv(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1)))))))) ),
inference(paramodulation,[status(thm)],[f1064,f887]) ).
fof(f8375,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| implies(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),not(implies(not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))),or(equiv(X0,X1),X2)))),X3) = or(equiv(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))),X3) ),
inference(paramodulation,[status(thm)],[f1064,f755]) ).
fof(f8376,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| implies(implies(implies(not(implies(X0,implies(implies(X1,X2),not(implies(X2,X1))))),or(equiv(X1,X2),X0)),equiv(implies(implies(X1,X2),not(implies(X2,X1))),X0)),X3) = or(equiv(not(implies(X0,implies(implies(X1,X2),not(implies(X2,X1))))),or(equiv(X1,X2),X0)),X3) ),
inference(paramodulation,[status(thm)],[f1064,f727]) ).
fof(f8377,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(X0,implies(implies(not(implies(X1,implies(implies(X2,X3),not(implies(X3,X2))))),or(equiv(X2,X3),X1)),equiv(implies(implies(X2,X3),not(implies(X3,X2))),X1))) = not(implies(X0,equiv(not(implies(X1,implies(implies(X2,X3),not(implies(X3,X2))))),or(equiv(X2,X3),X1)))) ),
inference(paramodulation,[status(thm)],[f1064,f726]) ).
fof(f8378,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),implies(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))),not(or(equiv(X0,X1),X2))))) ),
inference(paramodulation,[status(thm)],[f1064,f691]) ).
fof(f8379,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(not(implies(X0,implies(implies(X1,X2),not(implies(X2,X1))))),X3),or(equiv(implies(implies(X1,X2),not(implies(X2,X1))),X0),implies(or(equiv(X1,X2),X0),X3)))) ),
inference(paramodulation,[status(thm)],[f1064,f621]) ).
fof(f8380,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3),implies(or(X4,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))),or(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f1064,f604]) ).
fof(f8381,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3),implies(implies(X4,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))),implies(X4,X3)))) ),
inference(paramodulation,[status(thm)],[f1064,f620]) ).
fof(f8382,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),implies(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))))) ),
inference(paramodulation,[status(thm)],[f1064,f599]) ).
fof(f8383,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),implies(or(X3,or(equiv(X0,X1),X2)),or(X3,not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))))) ),
inference(paramodulation,[status(thm)],[f1064,f598]) ).
fof(f8384,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),implies(implies(X3,or(equiv(X0,X1),X2)),implies(X3,not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))))) ),
inference(paramodulation,[status(thm)],[f1064,f619]) ).
fof(f8385,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),or(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))))) ),
inference(paramodulation,[status(thm)],[f1064,f600]) ).
fof(f8386,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X3)
| ~ is_a_theorem(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3))
| ~ is_a_theorem(implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))) ),
inference(paramodulation,[status(thm)],[f1064,f605]) ).
fof(f8387,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X4,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))),or(X4,X3)))
| ~ is_a_theorem(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3)) ),
inference(paramodulation,[status(thm)],[f1064,f616]) ).
fof(f8389,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))))) = and(implies(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))))),or(equiv(implies(implies(X1,X2),not(implies(X2,X1))),X3),X0)) ),
inference(paramodulation,[status(thm)],[f1064,f606]) ).
fof(f8390,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))),X3) = not(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),not(X3))) ),
inference(paramodulation,[status(thm)],[f1064,f602]) ).
fof(f8391,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(X0,implies(implies(X1,X2),not(implies(X2,X1))))),or(equiv(X1,X2),X0)) = not(implies(implies(not(implies(X0,implies(implies(X1,X2),not(implies(X2,X1))))),or(equiv(X1,X2),X0)),equiv(implies(implies(X1,X2),not(implies(X2,X1))),X0))) ),
inference(paramodulation,[status(thm)],[f1064,f592]) ).
fof(f8392,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(or(equiv(not(X0),X1),not(implies(and(X1,X0),implies(not(X0),X1)))),X2) = and(or(equiv(implies(not(X0),X1),and(X1,X0)),X2),implies(X2,or(equiv(not(X0),X1),not(implies(and(X1,X0),implies(not(X0),X1)))))) ),
inference(forward_demodulation,[status(thm)],[f727,f8349]) ).
fof(f8394,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(equiv(X0,not(X1)),X2),not(implies(X2,or(and(X0,X1),not(implies(not(X1),X0)))))),X3) = and(or(equiv(or(and(X0,X1),not(implies(not(X1),X0))),X2),X3),implies(X3,implies(or(equiv(X0,not(X1)),X2),not(implies(X2,or(and(X0,X1),not(implies(not(X1),X0)))))))) ),
inference(forward_demodulation,[status(thm)],[f755,f8351]) ).
fof(f8395,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(equiv(not(X0),X1),X2),not(implies(X2,implies(implies(not(X0),X1),and(X1,X0))))),X3) = and(or(equiv(implies(implies(not(X0),X1),and(X1,X0)),X2),X3),implies(X3,implies(or(equiv(not(X0),X1),X2),not(implies(X2,implies(implies(not(X0),X1),and(X1,X0))))))) ),
inference(forward_demodulation,[status(thm)],[f727,f8352]) ).
fof(f8397,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(equiv(X0,implies(X1,not(X2))),implies(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))),equiv(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))),X3) = and(or(equiv(equiv(X0,implies(X1,not(X2))),implies(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))),X3),implies(X3,implies(implies(equiv(X0,implies(X1,not(X2))),implies(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))),equiv(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f1043,f8354]) ).
fof(f8398,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(equiv(X0,X1),implies(not(implies(X1,X0)),implies(X0,X1))),equiv(not(implies(X1,X0)),implies(X0,X1))),X2) = and(or(equiv(equiv(X0,X1),implies(not(implies(X1,X0)),implies(X0,X1))),X2),implies(X2,implies(implies(equiv(X0,X1),implies(not(implies(X1,X0)),implies(X0,X1))),equiv(not(implies(X1,X0)),implies(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f719,f8355]) ).
fof(f8400,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(and(X0,X1),implies(not(X1),X0)),equiv(not(X1),X0)),X2) = and(or(equiv(and(X0,X1),implies(not(X1),X0)),X2),implies(X2,implies(implies(and(X0,X1),implies(not(X1),X0)),equiv(not(X1),X0)))) ),
inference(forward_demodulation,[status(thm)],[f592,f8356]) ).
fof(f8401,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(and(implies(X0,not(X1)),X2),X3),and(X3,or(and(X0,X1),not(X2)))),X4) = and(or(equiv(and(implies(X0,not(X1)),X2),X3),X4),implies(X4,implies(implies(and(implies(X0,not(X1)),X2),X3),and(X3,or(and(X0,X1),not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f601,f8357]) ).
fof(f8402,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(and(X0,or(and(X1,X2),not(X3))),X4),and(X4,implies(X0,and(implies(X1,not(X2)),X3)))),X5) = and(or(equiv(and(X0,or(and(X1,X2),not(X3))),X4),X5),implies(X5,implies(implies(and(X0,or(and(X1,X2),not(X3))),X4),and(X4,implies(X0,and(implies(X1,not(X2)),X3)))))) ),
inference(forward_demodulation,[status(thm)],[f904,f8358]) ).
fof(f8403,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),and(X5,implies(X0,and(X1,or(and(X2,X3),not(X4)))))),X6) = and(or(equiv(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),X6),implies(X6,implies(implies(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),and(X5,implies(X0,and(X1,or(and(X2,X3),not(X4)))))))) ),
inference(forward_demodulation,[status(thm)],[f903,f8359]) ).
fof(f8405,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,or(and(X1,X2),not(implies(not(X2),X1)))),not(or(equiv(X1,not(X2)),X0))),X3) = and(or(equiv(X0,or(and(X1,X2),not(implies(not(X2),X1)))),X3),implies(X3,implies(implies(X0,or(and(X1,X2),not(implies(not(X2),X1)))),not(or(equiv(X1,not(X2)),X0))))) ),
inference(forward_demodulation,[status(thm)],[f755,f8361]) ).
fof(f8406,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,implies(implies(not(X1),X2),and(X2,X1))),not(or(equiv(not(X1),X2),X0))),X3) = and(or(equiv(X0,implies(implies(not(X1),X2),and(X2,X1))),X3),implies(X3,implies(implies(X0,implies(implies(not(X1),X2),and(X2,X1))),not(or(equiv(not(X1),X2),X0))))) ),
inference(forward_demodulation,[status(thm)],[f727,f8362]) ).
fof(f8408,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))))),not(or(equiv(implies(implies(X1,X2),not(implies(X2,X1))),X3),X0))),X4) = and(or(equiv(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))))),X4),implies(X4,implies(implies(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))))),not(or(equiv(implies(implies(X1,X2),not(implies(X2,X1))),X3),X0))))) ),
inference(forward_demodulation,[status(thm)],[f1064,f8364]) ).
fof(f8409,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3),not(implies(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))))),X4) = and(or(equiv(implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))),X3),X4),implies(X4,implies(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3),not(implies(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))))))) ),
inference(forward_demodulation,[status(thm)],[f1064,f8365]) ).
fof(f8410,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3)),implies(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))))) = not(implies(implies(not(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3)),implies(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))))),equiv(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))))) ),
inference(forward_demodulation,[status(thm)],[f1064,f8366]) ).
fof(f8411,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(implies(X1,implies(or(equiv(X2,X3),X4),not(implies(X4,implies(implies(X2,X3),not(implies(X3,X2))))))),not(or(equiv(implies(implies(X2,X3),not(implies(X3,X2))),X4),X1)))) = and(implies(X0,implies(implies(X1,implies(or(equiv(X2,X3),X4),not(implies(X4,implies(implies(X2,X3),not(implies(X3,X2))))))),not(or(equiv(implies(implies(X2,X3),not(implies(X3,X2))),X4),X1)))),or(equiv(X1,implies(or(equiv(X2,X3),X4),not(implies(X4,implies(implies(X2,X3),not(implies(X3,X2))))))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1064,f8368]) ).
fof(f8415,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(or(and(X0,X1),not(implies(not(X1),X0))),implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))) = and(or(equiv(X0,not(X1)),implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),or(equiv(implies(X2,not(X3)),X4),or(and(X0,X1),not(implies(not(X1),X0))))) ),
inference(paramodulation,[status(thm)],[f755,f1072]) ).
fof(f8416,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(implies(implies(not(X0),X1),and(X1,X0)),implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))) = and(or(equiv(not(X0),X1),implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),or(equiv(implies(X2,not(X3)),X4),implies(implies(not(X0),X1),and(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f727,f1072]) ).
fof(f8418,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(or(and(X1,X2),not(implies(not(X2),X1))),not(implies(not(implies(not(X2),X1)),implies(X1,not(X2)))))) = and(implies(X0,or(equiv(X1,not(X2)),not(implies(not(implies(not(X2),X1)),implies(X1,not(X2)))))),or(equiv(implies(X1,not(X2)),not(implies(not(X2),X1))),X0)) ),
inference(paramodulation,[status(thm)],[f755,f1072]) ).
fof(f8422,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(or(and(or(equiv(implies(X1,not(X2)),X3),X4),implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))),X5),not(implies(X5,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))))))) = and(implies(X0,implies(or(equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X4),X5),not(implies(X5,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))))))),or(equiv(implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))),X5),X0)) ),
inference(paramodulation,[status(thm)],[f1062,f1072]) ).
fof(f8423,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(or(and(or(equiv(X1,implies(X2,not(X3))),X4),implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))),X5),not(implies(X5,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))))))) = and(implies(X0,implies(or(equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X4),X5),not(implies(X5,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))))))),or(equiv(implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))),X5),X0)) ),
inference(paramodulation,[status(thm)],[f1063,f1072]) ).
fof(f8424,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(or(and(or(equiv(X1,X2),X3),implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))),X4),not(implies(X4,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1)))))))))) = and(implies(X0,implies(or(equiv(implies(implies(X1,X2),not(implies(X2,X1))),X3),X4),not(implies(X4,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1)))))))))),or(equiv(implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1)))))),X4),X0)) ),
inference(paramodulation,[status(thm)],[f1064,f1072]) ).
fof(f8425,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(or(and(or(and(X1,X2),implies(X3,not(X4))),or(and(X3,X4),implies(X1,not(X2)))),X5),not(implies(X5,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2))))))))) = and(implies(X0,implies(or(equiv(implies(X1,not(X2)),implies(X3,not(X4))),X5),not(implies(X5,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2))))))))),or(equiv(implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2))))),X5),X0)) ),
inference(paramodulation,[status(thm)],[f1027,f1072]) ).
fof(f8431,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(or(and(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),or(equiv(implies(X2,not(X3)),X4),X1)),X5),not(implies(X5,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1))))))) = and(implies(X0,implies(or(equiv(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),X5),not(implies(X5,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1))))))),or(equiv(implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1))),X5),X0)) ),
inference(paramodulation,[status(thm)],[f1072,f1072]) ).
fof(f8432,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(or(and(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),or(equiv(X2,implies(X3,not(X4))),X1)),X5),not(implies(X5,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1))))))) = and(implies(X0,implies(or(equiv(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),X5),not(implies(X5,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1))))))),or(equiv(implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1))),X5),X0)) ),
inference(paramodulation,[status(thm)],[f1034,f1072]) ).
fof(f8433,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(or(and(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),or(equiv(X2,X3),X1)),X4),not(implies(X4,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1))))))) = and(implies(X0,implies(or(equiv(X1,implies(implies(X2,X3),not(implies(X3,X2)))),X4),not(implies(X4,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1))))))),or(equiv(implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1))),X4),X0)) ),
inference(paramodulation,[status(thm)],[f1035,f1072]) ).
fof(f8439,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(or(and(X1,X2),or(and(X3,X4),not(implies(not(X4),X3)))),not(implies(or(and(X3,X4),not(implies(not(X4),X3))),implies(X1,not(X2)))))) = and(implies(X0,implies(or(and(X1,X2),or(and(X3,X4),not(implies(not(X4),X3)))),not(or(equiv(X3,not(X4)),implies(X1,not(X2)))))),or(equiv(implies(X1,not(X2)),or(and(X3,X4),not(implies(not(X4),X3)))),X0)) ),
inference(paramodulation,[status(thm)],[f755,f1072]) ).
fof(f8440,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(or(and(X1,X2),implies(implies(not(X3),X4),and(X4,X3))),not(implies(implies(implies(not(X3),X4),and(X4,X3)),implies(X1,not(X2)))))) = and(implies(X0,implies(or(and(X1,X2),implies(implies(not(X3),X4),and(X4,X3))),not(or(equiv(not(X3),X4),implies(X1,not(X2)))))),or(equiv(implies(X1,not(X2)),implies(implies(not(X3),X4),and(X4,X3))),X0)) ),
inference(paramodulation,[status(thm)],[f727,f1072]) ).
fof(f8466,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1)))),not(or(and(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),or(equiv(implies(X2,not(X3)),X4),X1)),X0))),X5) = and(or(equiv(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1)))),X5),implies(X5,implies(implies(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1)))),not(or(equiv(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),X0))))) ),
inference(paramodulation,[status(thm)],[f1072,f1063]) ).
fof(f8467,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(and(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(equiv(implies(X1,not(X2)),X3),X0)),X4),not(implies(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0)))))),X5) = and(or(equiv(implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))),X4),X5),implies(X5,implies(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4),not(implies(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0)))))))) ),
inference(paramodulation,[status(thm)],[f1072,f1062]) ).
fof(f8468,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(and(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(equiv(implies(X1,not(X2)),X3),X0)),X4)),implies(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))))) = not(implies(implies(not(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4)),implies(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))))),equiv(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0)))))) ),
inference(paramodulation,[status(thm)],[f1072,f1043]) ).
fof(f8469,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(implies(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1)))),not(or(equiv(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),X0))),X5) = not(or(equiv(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1)))),not(X5))) ),
inference(paramodulation,[status(thm)],[f1072,f1039]) ).
fof(f8470,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(implies(X2,implies(or(and(X3,X4),X5),not(implies(X5,implies(X3,not(X4)))))),not(or(equiv(implies(X3,not(X4)),X5),X2)))),not(or(and(implies(X2,implies(or(and(X3,X4),X5),not(implies(X5,implies(X3,not(X4)))))),or(equiv(implies(X3,not(X4)),X5),X2)),X1)))) = and(implies(X0,implies(implies(X1,implies(implies(X2,implies(or(and(X3,X4),X5),not(implies(X5,implies(X3,not(X4)))))),not(or(equiv(implies(X3,not(X4)),X5),X2)))),not(or(equiv(X2,implies(or(and(X3,X4),X5),not(implies(X5,implies(X3,not(X4)))))),X1)))),or(equiv(X1,implies(implies(X2,implies(or(and(X3,X4),X5),not(implies(X5,implies(X3,not(X4)))))),not(or(equiv(implies(X3,not(X4)),X5),X2)))),X0)) ),
inference(paramodulation,[status(thm)],[f1072,f1034]) ).
fof(f8471,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(X0,not(X1)),implies(implies(X2,implies(or(and(X3,X4),X5),not(implies(X5,implies(X3,not(X4)))))),not(or(equiv(implies(X3,not(X4)),X5),X2)))) = and(or(and(X0,X1),implies(implies(X2,implies(or(and(X3,X4),X5),not(implies(X5,implies(X3,not(X4)))))),not(or(equiv(implies(X3,not(X4)),X5),X2)))),or(equiv(X2,implies(or(and(X3,X4),X5),not(implies(X5,implies(X3,not(X4)))))),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f1072,f1027]) ).
fof(f8472,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))),implies(X4,not(X5))) = and(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),implies(X4,not(X5))),or(and(X4,X5),implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))))) ),
inference(paramodulation,[status(thm)],[f1072,f1027]) ).
fof(f8475,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,or(equiv(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(implies(not(or(equiv(implies(X2,not(X3)),X4),X1)),implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))))))) = not(implies(X0,equiv(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1))))) ),
inference(paramodulation,[status(thm)],[f1072,f887]) ).
fof(f8477,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(implies(not(or(equiv(implies(X1,not(X2)),X3),X0)),implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))))),X4) = or(equiv(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))),X4) ),
inference(paramodulation,[status(thm)],[f1072,f755]) ).
fof(f8478,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| implies(implies(implies(not(or(equiv(implies(X0,not(X1)),X2),X3)),implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))),equiv(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))),X4) = or(equiv(not(or(equiv(implies(X0,not(X1)),X2),X3)),implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))),X4) ),
inference(paramodulation,[status(thm)],[f1072,f727]) ).
fof(f8479,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(X0,implies(implies(not(or(equiv(implies(X1,not(X2)),X3),X4)),implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))),equiv(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))) = not(implies(X0,equiv(not(or(equiv(implies(X1,not(X2)),X3),X4)),implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))))) ),
inference(paramodulation,[status(thm)],[f1072,f726]) ).
fof(f8480,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ70_spl
| is_a_theorem(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),implies(or(equiv(implies(X1,not(X2)),X3),X0),not(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))))) ),
inference(paramodulation,[status(thm)],[f1072,f691]) ).
fof(f8481,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(not(or(equiv(implies(X0,not(X1)),X2),X3)),X4),or(equiv(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))),implies(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))),X4)))) ),
inference(paramodulation,[status(thm)],[f1072,f621]) ).
fof(f8482,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4),implies(or(X5,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0)))),or(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f1072,f604]) ).
fof(f8483,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4),implies(implies(X5,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0)))),implies(X5,X4)))) ),
inference(paramodulation,[status(thm)],[f1072,f620]) ).
fof(f8484,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ13_spl
| is_a_theorem(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),implies(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0)))))) ),
inference(paramodulation,[status(thm)],[f1072,f599]) ).
fof(f8485,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),implies(or(X4,implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))),or(X4,not(or(equiv(implies(X1,not(X2)),X3),X0)))))) ),
inference(paramodulation,[status(thm)],[f1072,f598]) ).
fof(f8486,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),implies(implies(X4,implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))),implies(X4,not(or(equiv(implies(X1,not(X2)),X3),X0)))))) ),
inference(paramodulation,[status(thm)],[f1072,f619]) ).
fof(f8487,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ34_spl
| is_a_theorem(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0)))))) ),
inference(paramodulation,[status(thm)],[f1072,f600]) ).
fof(f8488,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X4)
| ~ is_a_theorem(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4))
| ~ is_a_theorem(implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0)))) ),
inference(paramodulation,[status(thm)],[f1072,f605]) ).
fof(f8489,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X5,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0)))),or(X5,X4)))
| ~ is_a_theorem(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4)) ),
inference(paramodulation,[status(thm)],[f1072,f616]) ).
fof(f8494,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,or(equiv(X1,not(X2)),not(implies(not(implies(not(X2),X1)),implies(X1,not(X2)))))) = and(implies(X0,or(equiv(X1,not(X2)),not(implies(not(implies(not(X2),X1)),implies(X1,not(X2)))))),or(equiv(implies(X1,not(X2)),not(implies(not(X2),X1))),X0)) ),
inference(forward_demodulation,[status(thm)],[f755,f8418]) ).
fof(f8507,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(or(equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X4),X5),not(implies(X5,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))))))) = and(implies(X0,implies(or(equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X4),X5),not(implies(X5,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))))))),or(equiv(implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))),X5),X0)) ),
inference(forward_demodulation,[status(thm)],[f1062,f8422]) ).
fof(f8508,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(or(equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X4),X5),not(implies(X5,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))))))) = and(implies(X0,implies(or(equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X4),X5),not(implies(X5,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))))))),or(equiv(implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))),X5),X0)) ),
inference(forward_demodulation,[status(thm)],[f1063,f8423]) ).
fof(f8509,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(or(equiv(implies(implies(X1,X2),not(implies(X2,X1))),X3),X4),not(implies(X4,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1)))))))))) = and(implies(X0,implies(or(equiv(implies(implies(X1,X2),not(implies(X2,X1))),X3),X4),not(implies(X4,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1)))))))))),or(equiv(implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1)))))),X4),X0)) ),
inference(forward_demodulation,[status(thm)],[f1064,f8424]) ).
fof(f8510,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(or(equiv(implies(X1,not(X2)),implies(X3,not(X4))),X5),not(implies(X5,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2))))))))) = and(implies(X0,implies(or(equiv(implies(X1,not(X2)),implies(X3,not(X4))),X5),not(implies(X5,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2))))))))),or(equiv(implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2))))),X5),X0)) ),
inference(forward_demodulation,[status(thm)],[f1027,f8425]) ).
fof(f8548,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(or(equiv(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),X5),not(implies(X5,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1))))))) = and(implies(X0,implies(or(equiv(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),X5),not(implies(X5,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1))))))),or(equiv(implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1))),X5),X0)) ),
inference(forward_demodulation,[status(thm)],[f1072,f8431]) ).
fof(f8549,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(or(equiv(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),X5),not(implies(X5,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1))))))) = and(implies(X0,implies(or(equiv(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),X5),not(implies(X5,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1))))))),or(equiv(implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1))),X5),X0)) ),
inference(forward_demodulation,[status(thm)],[f1034,f8432]) ).
fof(f8550,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(or(equiv(X1,implies(implies(X2,X3),not(implies(X3,X2)))),X4),not(implies(X4,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1))))))) = and(implies(X0,implies(or(equiv(X1,implies(implies(X2,X3),not(implies(X3,X2)))),X4),not(implies(X4,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1))))))),or(equiv(implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1))),X4),X0)) ),
inference(forward_demodulation,[status(thm)],[f1035,f8433]) ).
fof(f8574,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(or(and(X1,X2),or(and(X3,X4),not(implies(not(X4),X3)))),not(or(equiv(X3,not(X4)),implies(X1,not(X2)))))) = and(implies(X0,implies(or(and(X1,X2),or(and(X3,X4),not(implies(not(X4),X3)))),not(or(equiv(X3,not(X4)),implies(X1,not(X2)))))),or(equiv(implies(X1,not(X2)),or(and(X3,X4),not(implies(not(X4),X3)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f755,f8439]) ).
fof(f8575,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(X0,implies(or(and(X1,X2),implies(implies(not(X3),X4),and(X4,X3))),not(or(equiv(not(X3),X4),implies(X1,not(X2)))))) = and(implies(X0,implies(or(and(X1,X2),implies(implies(not(X3),X4),and(X4,X3))),not(or(equiv(not(X3),X4),implies(X1,not(X2)))))),or(equiv(implies(X1,not(X2)),implies(implies(not(X3),X4),and(X4,X3))),X0)) ),
inference(forward_demodulation,[status(thm)],[f727,f8440]) ).
fof(f8701,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1)))),not(or(equiv(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),X0))),X5) = and(or(equiv(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1)))),X5),implies(X5,implies(implies(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1)))),not(or(equiv(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),X0))))) ),
inference(forward_demodulation,[status(thm)],[f1072,f8466]) ).
fof(f8702,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4),not(implies(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0)))))),X5) = and(or(equiv(implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))),X4),X5),implies(X5,implies(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4),not(implies(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0)))))))) ),
inference(forward_demodulation,[status(thm)],[f1072,f8467]) ).
fof(f8703,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4)),implies(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))))) = not(implies(implies(not(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4)),implies(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))))),equiv(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0)))))) ),
inference(forward_demodulation,[status(thm)],[f1072,f8468]) ).
fof(f8704,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(X1,implies(implies(X2,implies(or(and(X3,X4),X5),not(implies(X5,implies(X3,not(X4)))))),not(or(equiv(implies(X3,not(X4)),X5),X2)))),not(or(equiv(X2,implies(or(and(X3,X4),X5),not(implies(X5,implies(X3,not(X4)))))),X1)))) = and(implies(X0,implies(implies(X1,implies(implies(X2,implies(or(and(X3,X4),X5),not(implies(X5,implies(X3,not(X4)))))),not(or(equiv(implies(X3,not(X4)),X5),X2)))),not(or(equiv(X2,implies(or(and(X3,X4),X5),not(implies(X5,implies(X3,not(X4)))))),X1)))),or(equiv(X1,implies(implies(X2,implies(or(and(X3,X4),X5),not(implies(X5,implies(X3,not(X4)))))),not(or(equiv(implies(X3,not(X4)),X5),X2)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1072,f8470]) ).
fof(f8712,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(X1,equiv(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2162,f176]) ).
fof(f8713,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ81_spl
| is_a_theorem(not(not(implies(X0,or(X1,equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f2162,f2548]) ).
fof(f8714,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f2162,f588]) ).
fof(f8715,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f2162,f591]) ).
fof(f8716,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(X0,or(X1,equiv(X2,X2))),implies(X0,or(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f2162,f696]) ).
fof(f8724,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| sQ101_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f8712,f1022,f8342,f442,f471,f412,f485,f431,f492,f297,f220,f175]) ).
fof(f8727,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))) = not(or(equiv(implies(X0,not(X1)),X2),not(implies(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))))) ),
inference(paramodulation,[status(thm)],[f493,f1075]) ).
fof(f8731,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(or(equiv(X0,not(X1)),not(implies(not(implies(not(X1),X0)),implies(X0,not(X1))))),X2) = not(or(equiv(implies(X0,not(X1)),not(implies(not(X1),X0))),not(X2))) ),
inference(paramodulation,[status(thm)],[f755,f1075]) ).
fof(f8735,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4),not(implies(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))))),X5) = not(or(equiv(implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))),X4),not(X5))) ),
inference(paramodulation,[status(thm)],[f1062,f1075]) ).
fof(f8736,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4),not(implies(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))))),X5) = not(or(equiv(implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))),X4),not(X5))) ),
inference(paramodulation,[status(thm)],[f1063,f1075]) ).
fof(f8737,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3),not(implies(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))))),X4) = not(or(equiv(implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))),X3),not(X4))) ),
inference(paramodulation,[status(thm)],[f1064,f1075]) ).
fof(f8738,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),X4),not(implies(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1)))))))),X5) = not(or(equiv(implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))),X4),not(X5))) ),
inference(paramodulation,[status(thm)],[f1027,f1075]) ).
fof(f8745,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4),not(implies(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0)))))),X5) = not(or(equiv(implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))),X4),not(X5))) ),
inference(paramodulation,[status(thm)],[f1072,f1075]) ).
fof(f8746,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),X4),not(implies(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0)))))),X5) = not(or(equiv(implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))),X4),not(X5))) ),
inference(paramodulation,[status(thm)],[f1034,f1075]) ).
fof(f8747,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),X3),not(implies(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0)))))),X4) = not(or(equiv(implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))),X3),not(X4))) ),
inference(paramodulation,[status(thm)],[f1035,f1075]) ).
fof(f8753,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(or(and(X0,X1),or(and(X2,X3),not(implies(not(X3),X2)))),not(or(equiv(X2,not(X3)),implies(X0,not(X1))))),X4) = not(or(equiv(implies(X0,not(X1)),or(and(X2,X3),not(implies(not(X3),X2)))),not(X4))) ),
inference(paramodulation,[status(thm)],[f755,f1075]) ).
fof(f8754,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| and(implies(or(and(X0,X1),implies(implies(not(X2),X3),and(X3,X2))),not(or(equiv(not(X2),X3),implies(X0,not(X1))))),X4) = not(or(equiv(implies(X0,not(X1)),implies(implies(not(X2),X3),and(X3,X2))),not(X4))) ),
inference(paramodulation,[status(thm)],[f727,f1075]) ).
fof(f9087,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(or(and(X0,X1),not(implies(not(X1),X0))),implies(X2,not(X3)))),or(and(X2,X3),or(and(X0,X1),not(implies(not(X1),X0))))) = not(implies(implies(not(or(equiv(X0,not(X1)),implies(X2,not(X3)))),or(and(X2,X3),or(and(X0,X1),not(implies(not(X1),X0))))),equiv(implies(X2,not(X3)),or(and(X0,X1),not(implies(not(X1),X0)))))) ),
inference(paramodulation,[status(thm)],[f755,f1079]) ).
fof(f9088,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(implies(implies(not(X0),X1),and(X1,X0)),implies(X2,not(X3)))),or(and(X2,X3),implies(implies(not(X0),X1),and(X1,X0)))) = not(implies(implies(not(or(equiv(not(X0),X1),implies(X2,not(X3)))),or(and(X2,X3),implies(implies(not(X0),X1),and(X1,X0)))),equiv(implies(X2,not(X3)),implies(implies(not(X0),X1),and(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f727,f1079]) ).
fof(f9106,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))))),or(and(or(equiv(implies(X1,not(X2)),X3),X4),implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))),X0)) = not(implies(implies(not(implies(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))))),or(equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X4),X0)),equiv(implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))),X0))) ),
inference(paramodulation,[status(thm)],[f1062,f1079]) ).
fof(f9107,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))))),or(and(or(equiv(X1,implies(X2,not(X3))),X4),implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))),X0)) = not(implies(implies(not(implies(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))))),or(equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X4),X0)),equiv(implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))),X0))) ),
inference(paramodulation,[status(thm)],[f1063,f1079]) ).
fof(f9108,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1)))))))),or(and(or(equiv(X1,X2),X3),implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))),X0)) = not(implies(implies(not(implies(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1)))))))),or(equiv(implies(implies(X1,X2),not(implies(X2,X1))),X3),X0)),equiv(implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1)))))),X0))) ),
inference(paramodulation,[status(thm)],[f1064,f1079]) ).
fof(f9109,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2))))))),or(and(or(and(X1,X2),implies(X3,not(X4))),or(and(X3,X4),implies(X1,not(X2)))),X0)) = not(implies(implies(not(implies(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2))))))),or(equiv(implies(X1,not(X2)),implies(X3,not(X4))),X0)),equiv(implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2))))),X0))) ),
inference(paramodulation,[status(thm)],[f1027,f1079]) ).
fof(f9116,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1))))),or(and(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),or(equiv(implies(X2,not(X3)),X4),X1)),X0)) = not(implies(implies(not(implies(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1))))),or(equiv(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),X0)),equiv(implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1))),X0))) ),
inference(paramodulation,[status(thm)],[f1072,f1079]) ).
fof(f9117,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1))))),or(and(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),or(equiv(X2,implies(X3,not(X4))),X1)),X0)) = not(implies(implies(not(implies(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1))))),or(equiv(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),X0)),equiv(implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1))),X0))) ),
inference(paramodulation,[status(thm)],[f1034,f1079]) ).
fof(f9118,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1))))),or(and(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),or(equiv(X2,X3),X1)),X0)) = not(implies(implies(not(implies(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1))))),or(equiv(X1,implies(implies(X2,X3),not(implies(X3,X2)))),X0)),equiv(implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1))),X0))) ),
inference(paramodulation,[status(thm)],[f1035,f1079]) ).
fof(f9137,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(equiv(implies(X0,not(X1)),X2),implies(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))),not(implies(implies(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2)),equiv(implies(X0,not(X1)),X2)))),X3) = and(or(equiv(equiv(implies(X0,not(X1)),X2),implies(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))),X3),implies(X3,implies(implies(equiv(implies(X0,not(X1)),X2),implies(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))),equiv(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))))) ),
inference(paramodulation,[status(thm)],[f1079,f1064]) ).
fof(f9138,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(equiv(implies(X1,not(X2)),X3),implies(not(implies(X3,implies(X1,not(X2)))),or(and(X1,X2),X3))),not(implies(implies(not(implies(X3,implies(X1,not(X2)))),or(and(X1,X2),X3)),equiv(implies(X1,not(X2)),X3))))) = and(implies(X0,implies(implies(equiv(implies(X1,not(X2)),X3),implies(not(implies(X3,implies(X1,not(X2)))),or(and(X1,X2),X3))),equiv(not(implies(X3,implies(X1,not(X2)))),or(and(X1,X2),X3)))),or(equiv(equiv(implies(X1,not(X2)),X3),implies(not(implies(X3,implies(X1,not(X2)))),or(and(X1,X2),X3))),X0)) ),
inference(paramodulation,[status(thm)],[f1079,f1035]) ).
fof(f9139,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| and(implies(implies(equiv(implies(X0,not(X1)),X2),implies(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))),equiv(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))),X3) = not(or(equiv(equiv(implies(X0,not(X1)),X2),implies(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))),not(X3))) ),
inference(paramodulation,[status(thm)],[f1079,f922]) ).
fof(f9140,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),equiv(implies(X1,not(X2)),X0))),implies(equiv(implies(X1,not(X2)),X0),implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)))) = not(implies(implies(equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),implies(equiv(implies(X1,not(X2)),X0),implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)))),equiv(equiv(implies(X1,not(X2)),X0),implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0))))) ),
inference(paramodulation,[status(thm)],[f1079,f719]) ).
fof(f9174,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(X0,equiv(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1))),implies(implies(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),equiv(implies(X2,not(X3)),X1)))) ),
inference(paramodulation,[status(thm)],[f1079,f3312]) ).
fof(f9177,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(X0,equiv(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1))),implies(implies(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),equiv(implies(X2,not(X3)),X1)))) ),
inference(paramodulation,[status(thm)],[f1079,f3229]) ).
fof(f9179,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ70_spl
| is_a_theorem(or(and(implies(implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),equiv(implies(X1,not(X2)),X0)),X3),implies(X3,equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0))))) ),
inference(paramodulation,[status(thm)],[f1079,f691]) ).
fof(f9180,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),equiv(implies(X1,not(X2)),X0)),implies(X3,equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0))))) ),
inference(paramodulation,[status(thm)],[f1079,f3161]) ).
fof(f9181,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(or(or(implies(implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),equiv(implies(X1,not(X2)),X0)),equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0))),X3)) ),
inference(paramodulation,[status(thm)],[f1079,f3097]) ).
fof(f9182,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),equiv(implies(X1,not(X2)),X0)),or(X3,equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0))))) ),
inference(paramodulation,[status(thm)],[f1079,f3096]) ).
fof(f9183,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(implies(implies(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),equiv(implies(X2,not(X3)),X1)),equiv(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1))))) ),
inference(paramodulation,[status(thm)],[f1079,f2475]) ).
fof(f9185,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(implies(implies(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),equiv(implies(X2,not(X3)),X1)),equiv(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1))))) ),
inference(paramodulation,[status(thm)],[f1079,f2474]) ).
fof(f9186,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,implies(implies(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),equiv(implies(X2,not(X3)),X1))),equiv(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)))) ),
inference(paramodulation,[status(thm)],[f1079,f2436]) ).
fof(f9187,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(X0,implies(implies(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),equiv(implies(X2,not(X3)),X1))),equiv(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)))) ),
inference(paramodulation,[status(thm)],[f1079,f2434]) ).
fof(f9191,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(and(implies(implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),equiv(implies(X1,not(X2)),X0)),equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0))))) ),
inference(paramodulation,[status(thm)],[f1079,f2646]) ).
fof(f9196,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),equiv(implies(X1,not(X2)),X0)),equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)))) ),
inference(paramodulation,[status(thm)],[f1079,f2438]) ).
fof(f9213,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(or(equiv(X0,not(X1)),implies(X2,not(X3)))),or(and(X2,X3),or(and(X0,X1),not(implies(not(X1),X0))))) = not(implies(implies(not(or(equiv(X0,not(X1)),implies(X2,not(X3)))),or(and(X2,X3),or(and(X0,X1),not(implies(not(X1),X0))))),equiv(implies(X2,not(X3)),or(and(X0,X1),not(implies(not(X1),X0)))))) ),
inference(forward_demodulation,[status(thm)],[f755,f9087]) ).
fof(f9214,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(or(equiv(not(X0),X1),implies(X2,not(X3)))),or(and(X2,X3),implies(implies(not(X0),X1),and(X1,X0)))) = not(implies(implies(not(or(equiv(not(X0),X1),implies(X2,not(X3)))),or(and(X2,X3),implies(implies(not(X0),X1),and(X1,X0)))),equiv(implies(X2,not(X3)),implies(implies(not(X0),X1),and(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f727,f9088]) ).
fof(f9296,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))))),or(equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X4),X0)) = not(implies(implies(not(implies(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))))),or(equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X4),X0)),equiv(implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))))),X0))) ),
inference(forward_demodulation,[status(thm)],[f1062,f9106]) ).
fof(f9297,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))))),or(equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X4),X0)) = not(implies(implies(not(implies(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))))),or(equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X4),X0)),equiv(implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))))),X0))) ),
inference(forward_demodulation,[status(thm)],[f1063,f9107]) ).
fof(f9298,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1)))))))),or(equiv(implies(implies(X1,X2),not(implies(X2,X1))),X3),X0)) = not(implies(implies(not(implies(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1)))))))),or(equiv(implies(implies(X1,X2),not(implies(X2,X1))),X3),X0)),equiv(implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1)))))),X0))) ),
inference(forward_demodulation,[status(thm)],[f1064,f9108]) ).
fof(f9299,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2))))))),or(equiv(implies(X1,not(X2)),implies(X3,not(X4))),X0)) = not(implies(implies(not(implies(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2))))))),or(equiv(implies(X1,not(X2)),implies(X3,not(X4))),X0)),equiv(implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2))))),X0))) ),
inference(forward_demodulation,[status(thm)],[f1027,f9109]) ).
fof(f9346,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1))))),or(equiv(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),X0)) = not(implies(implies(not(implies(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1))))),or(equiv(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),X0)),equiv(implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1))),X0))) ),
inference(forward_demodulation,[status(thm)],[f1072,f9116]) ).
fof(f9347,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(not(implies(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1))))),or(equiv(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),X0)) = not(implies(implies(not(implies(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1))))),or(equiv(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),X0)),equiv(implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1))),X0))) ),
inference(forward_demodulation,[status(thm)],[f1034,f9117]) ).
fof(f9348,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| equiv(not(implies(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1))))),or(equiv(X1,implies(implies(X2,X3),not(implies(X3,X2)))),X0)) = not(implies(implies(not(implies(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1))))),or(equiv(X1,implies(implies(X2,X3),not(implies(X3,X2)))),X0)),equiv(implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1))),X0))) ),
inference(forward_demodulation,[status(thm)],[f1035,f9118]) ).
fof(f9440,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(implies(implies(equiv(implies(X0,not(X1)),X2),implies(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))),equiv(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))),X3) = and(or(equiv(equiv(implies(X0,not(X1)),X2),implies(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))),X3),implies(X3,implies(implies(equiv(implies(X0,not(X1)),X2),implies(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))),equiv(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))))) ),
inference(forward_demodulation,[status(thm)],[f1079,f9137]) ).
fof(f9441,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(X0,implies(implies(equiv(implies(X1,not(X2)),X3),implies(not(implies(X3,implies(X1,not(X2)))),or(and(X1,X2),X3))),equiv(not(implies(X3,implies(X1,not(X2)))),or(and(X1,X2),X3)))) = and(implies(X0,implies(implies(equiv(implies(X1,not(X2)),X3),implies(not(implies(X3,implies(X1,not(X2)))),or(and(X1,X2),X3))),equiv(not(implies(X3,implies(X1,not(X2)))),or(and(X1,X2),X3)))),or(equiv(equiv(implies(X1,not(X2)),X3),implies(not(implies(X3,implies(X1,not(X2)))),or(and(X1,X2),X3))),X0)) ),
inference(forward_demodulation,[status(thm)],[f1079,f9138]) ).
fof(f9442,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| equiv(equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),implies(equiv(implies(X1,not(X2)),X0),implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)))) = not(implies(implies(equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),implies(equiv(implies(X1,not(X2)),X0),implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)))),equiv(equiv(implies(X1,not(X2)),X0),implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0))))) ),
inference(forward_demodulation,[status(thm)],[f1079,f9140]) ).
fof(f9606,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(implies(X2,equiv(X3,X3)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f2182,f605]) ).
fof(f9609,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(X0,equiv(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f2182,f582]) ).
fof(f9611,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ81_spl
| is_a_theorem(not(not(or(X0,implies(X1,equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f2182,f2548]) ).
fof(f9612,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f2182,f588]) ).
fof(f9613,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f2182,f591]) ).
fof(f9614,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ73_spl
| is_a_theorem(and(or(X0,implies(X1,equiv(X2,X2))),or(X0,implies(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f2182,f696]) ).
fof(f9622,definition,
! [X2,X3] :
( sQ102_spl
<=> is_a_theorem(implies(X2,equiv(X3,X3))) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f9623,plain,
! [X0,X1] :
( ~ sQ102_spl
| is_a_theorem(implies(X0,equiv(X1,X1))) ),
inference(component_clause,[status(thm)],[f9622]) ).
fof(f9625,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ102_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f9606,f1005,f9622,f442,f412,f431,f492,f220,f297,f175,f485,f471]) ).
fof(f9627,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ91_spl
| is_a_theorem(or(or(X0,implies(X1,X2)),not(implies(X1,or(X0,X2))))) ),
inference(resolution,[status(thm)],[f1719,f668]) ).
fof(f9628,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,implies(X1,or(X2,X3))),implies(X0,or(X2,implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f1719,f618]) ).
fof(f9629,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ91_spl
| is_a_theorem(implies(or(X0,implies(X1,or(X2,X3))),or(X0,or(X2,implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f1719,f568]) ).
fof(f9630,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ91_spl
| is_a_theorem(or(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f1719,f176]) ).
fof(f9631,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ91_spl
| is_a_theorem(not(not(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))))) ),
inference(resolution,[status(thm)],[f1719,f2548]) ).
fof(f9632,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ91_spl
| is_a_theorem(or(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f1719,f588]) ).
fof(f9633,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ91_spl
| is_a_theorem(implies(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f1719,f591]) ).
fof(f9634,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ91_spl
| is_a_theorem(and(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2))),implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f1719,f696]) ).
fof(f9635,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(or(equiv(X0,not(X1)),or(X2,X3)),or(X2,implies(or(and(X0,X1),not(implies(not(X1),X0))),X3)))) ),
inference(paramodulation,[status(thm)],[f755,f1719]) ).
fof(f9636,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(or(equiv(not(X0),X1),or(X2,X3)),or(X2,implies(implies(implies(not(X0),X1),and(X1,X0)),X3)))) ),
inference(paramodulation,[status(thm)],[f727,f1719]) ).
fof(f9637,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(or(and(X0,X1),or(X2,X3)),or(X2,implies(implies(X0,not(X1)),X3)))) ),
inference(paramodulation,[status(thm)],[f566,f1719]) ).
fof(f9638,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,implies(or(and(X1,X2),not(X3)),X4)),or(and(implies(X1,not(X2)),X3),implies(X0,X4)))) ),
inference(paramodulation,[status(thm)],[f596,f1719]) ).
fof(f9639,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),X5)),or(and(X1,or(and(X2,X3),not(X4))),implies(X0,X5)))) ),
inference(paramodulation,[status(thm)],[f905,f1719]) ).
fof(f9640,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X6)),or(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),implies(X0,X6)))) ),
inference(paramodulation,[status(thm)],[f902,f1719]) ).
fof(f9641,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f486,f1719]) ).
fof(f9642,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,or(and(implies(X1,not(X2)),X3),X4)),implies(or(and(X1,X2),not(X3)),implies(X0,X4)))) ),
inference(paramodulation,[status(thm)],[f596,f1719]) ).
fof(f9643,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,or(and(X1,or(and(X2,X3),not(X4))),X5)),implies(implies(X1,and(implies(X2,not(X3)),X4)),implies(X0,X5)))) ),
inference(paramodulation,[status(thm)],[f905,f1719]) ).
fof(f9644,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,or(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X6)),implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),implies(X0,X6)))) ),
inference(paramodulation,[status(thm)],[f902,f1719]) ).
fof(f9645,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,or(not(X1),X2)),implies(X1,implies(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f486,f1719]) ).
fof(f9646,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(or(and(X0,X1),not(implies(not(X1),X0))),or(X2,X3)),or(X2,or(equiv(X0,not(X1)),X3)))) ),
inference(paramodulation,[status(thm)],[f755,f1719]) ).
fof(f9647,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(implies(implies(not(X0),X1),and(X1,X0)),or(X2,X3)),or(X2,or(equiv(not(X0),X1),X3)))) ),
inference(paramodulation,[status(thm)],[f727,f1719]) ).
fof(f9648,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(implies(X0,not(X1)),or(X2,X3)),or(X2,or(and(X0,X1),X3)))) ),
inference(paramodulation,[status(thm)],[f566,f1719]) ).
fof(f9649,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(or(equiv(X0,not(X1)),or(X2,X3)),or(X2,or(equiv(X0,not(X1)),X3)))) ),
inference(forward_demodulation,[status(thm)],[f755,f9635]) ).
fof(f9650,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(or(equiv(not(X0),X1),or(X2,X3)),or(X2,or(equiv(not(X0),X1),X3)))) ),
inference(forward_demodulation,[status(thm)],[f727,f9636]) ).
fof(f9651,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(or(and(X0,X1),or(X2,X3)),or(X2,or(and(X0,X1),X3)))) ),
inference(forward_demodulation,[status(thm)],[f566,f9637]) ).
fof(f9652,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,implies(or(and(X1,X2),not(X3)),X4)),implies(or(and(X1,X2),not(X3)),implies(X0,X4)))) ),
inference(forward_demodulation,[status(thm)],[f596,f9638]) ).
fof(f9653,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),X5)),implies(implies(X1,and(implies(X2,not(X3)),X4)),implies(X0,X5)))) ),
inference(forward_demodulation,[status(thm)],[f905,f9639]) ).
fof(f9654,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X6)),implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),implies(X0,X6)))) ),
inference(forward_demodulation,[status(thm)],[f902,f9640]) ).
fof(f9655,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))) ),
inference(forward_demodulation,[status(thm)],[f486,f9641]) ).
fof(f9656,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,implies(or(and(X1,X2),not(X3)),X4)),implies(or(and(X1,X2),not(X3)),implies(X0,X4)))) ),
inference(forward_demodulation,[status(thm)],[f596,f9642]) ).
fof(f9657,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),X5)),implies(implies(X1,and(implies(X2,not(X3)),X4)),implies(X0,X5)))) ),
inference(forward_demodulation,[status(thm)],[f905,f9643]) ).
fof(f9658,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X6)),implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),implies(X0,X6)))) ),
inference(forward_demodulation,[status(thm)],[f902,f9644]) ).
fof(f9659,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))) ),
inference(forward_demodulation,[status(thm)],[f486,f9645]) ).
fof(f9660,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(or(equiv(X0,not(X1)),or(X2,X3)),or(X2,or(equiv(X0,not(X1)),X3)))) ),
inference(forward_demodulation,[status(thm)],[f755,f9646]) ).
fof(f9661,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(or(equiv(not(X0),X1),or(X2,X3)),or(X2,or(equiv(not(X0),X1),X3)))) ),
inference(forward_demodulation,[status(thm)],[f727,f9647]) ).
fof(f9662,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ91_spl
| is_a_theorem(implies(or(and(X0,X1),or(X2,X3)),or(X2,or(and(X0,X1),X3)))) ),
inference(forward_demodulation,[status(thm)],[f566,f9648]) ).
fof(f9665,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f1338,f691]) ).
fof(f9668,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X1))),implies(X0,not(X1)))) ),
inference(resolution,[status(thm)],[f1338,f587]) ).
fof(f9669,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,or(implies(X3,X3),X4)))) ),
inference(resolution,[status(thm)],[f1338,f1698]) ).
fof(f9670,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,or(and(X3,X3),not(X3))))) ),
inference(resolution,[status(thm)],[f1338,f671]) ).
fof(f9671,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,or(X3,equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f1338,f2161]) ).
fof(f9672,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,or(X3,implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f1338,f1560]) ).
fof(f9673,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,or(X3,not(and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1338,f3096]) ).
fof(f9674,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f1338,f2474]) ).
fof(f9675,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,not(or(and(X1,X2),and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1338,f2432]) ).
fof(f9676,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,not(and(X1,X2))))) ),
inference(resolution,[status(thm)],[f1338,f2438]) ).
fof(f9677,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1338,f1660]) ).
fof(f9678,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(implies(X3,or(X4,X5)),or(X4,implies(X3,X5)))))) ),
inference(resolution,[status(thm)],[f1338,f639]) ).
fof(f9679,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(implies(X3,X4),or(X4,not(X3)))))) ),
inference(resolution,[status(thm)],[f1338,f686]) ).
fof(f9680,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(implies(X3,X4),implies(implies(X5,X3),implies(X5,X4)))))) ),
inference(resolution,[status(thm)],[f1338,f629]) ).
fof(f9681,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(implies(X3,X4),implies(or(X5,X3),or(X5,X4)))))) ),
inference(resolution,[status(thm)],[f1338,f630]) ).
fof(f9682,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(or(X3,implies(X4,X5)),implies(X4,or(X3,X5)))))) ),
inference(resolution,[status(thm)],[f1338,f659]) ).
fof(f9683,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(or(X3,not(X4)),implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1338,f709]) ).
fof(f9684,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(or(X3,or(X4,X5)),or(X4,or(X3,X5)))))) ),
inference(resolution,[status(thm)],[f1338,f626]) ).
fof(f9685,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(or(X3,X4),or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1338,f627]) ).
fof(f9686,plain,
! [X0,X1,X2,X3] :
( ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(or(X3,and(X1,X2)),X3)))) ),
inference(resolution,[status(thm)],[f1338,f1543]) ).
fof(f9687,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(or(and(X1,X2),X3),X3)))) ),
inference(resolution,[status(thm)],[f1338,f1613]) ).
fof(f9688,plain,
! [X0,X1,X2,X3] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(or(X3,X3),X3)))) ),
inference(resolution,[status(thm)],[f1338,f628]) ).
fof(f9690,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(X3,and(X3,X3))))) ),
inference(resolution,[status(thm)],[f1338,f698]) ).
fof(f9691,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(X3,not(and(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1338,f3161]) ).
fof(f9693,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1338,f632]) ).
fof(f9694,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1338,f1548]) ).
fof(f9698,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X5,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))))))),implies(X5,X4)))
| ~ is_a_theorem(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4)) ),
inference(paramodulation,[status(thm)],[f1062,f1338]) ).
fof(f9699,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X5,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))))))),implies(X5,X4)))
| ~ is_a_theorem(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4)) ),
inference(paramodulation,[status(thm)],[f1063,f1338]) ).
fof(f9700,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X4,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0))))))),implies(X4,X3)))
| ~ is_a_theorem(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3)) ),
inference(paramodulation,[status(thm)],[f1064,f1338]) ).
fof(f9701,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X5,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1)))))),implies(X5,X4)))
| ~ is_a_theorem(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),X4)) ),
inference(paramodulation,[status(thm)],[f1027,f1338]) ).
fof(f9702,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X4,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))),implies(X4,X3)))
| ~ is_a_theorem(or(equiv(implies(X0,not(X1)),X2),X3)) ),
inference(paramodulation,[status(thm)],[f607,f1338]) ).
fof(f9708,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X5,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0)))),implies(X5,X4)))
| ~ is_a_theorem(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4)) ),
inference(paramodulation,[status(thm)],[f1072,f1338]) ).
fof(f9709,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X5,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0)))),implies(X5,X4)))
| ~ is_a_theorem(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),X4)) ),
inference(paramodulation,[status(thm)],[f1034,f1338]) ).
fof(f9710,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X4,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0)))),implies(X4,X3)))
| ~ is_a_theorem(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),X3)) ),
inference(paramodulation,[status(thm)],[f1035,f1338]) ).
fof(f9711,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X4,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))),implies(X4,X3)))
| ~ is_a_theorem(or(equiv(X0,implies(X1,not(X2))),X3)) ),
inference(paramodulation,[status(thm)],[f606,f1338]) ).
fof(f9712,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X3,implies(implies(X0,X1),not(implies(X1,X0)))),implies(X3,X2)))
| ~ is_a_theorem(or(equiv(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f493,f1338]) ).
fof(f9744,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X1,equiv(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2183,f176]) ).
fof(f9745,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ81_spl
| is_a_theorem(not(not(implies(X0,implies(X1,equiv(X2,X2)))))) ),
inference(resolution,[status(thm)],[f2183,f2548]) ).
fof(f9746,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f2183,f588]) ).
fof(f9747,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,equiv(X3,X3))))) ),
inference(resolution,[status(thm)],[f2183,f591]) ).
fof(f9748,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(X0,implies(X1,equiv(X2,X2))),implies(X0,implies(X1,equiv(X2,X2))))) ),
inference(resolution,[status(thm)],[f2183,f696]) ).
fof(f9755,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| sQ102_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f9744,f1022,f9622,f442,f297,f471,f412,f485,f431,f492,f220,f175]) ).
fof(f9756,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X2)
| ~ is_a_theorem(or(equiv(implies(X0,not(X1)),not(implies(not(X1),X0))),X2))
| ~ is_a_theorem(or(equiv(X0,not(X1)),not(implies(not(implies(not(X1),X0)),implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f755,f1073]) ).
fof(f9760,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X5)
| ~ is_a_theorem(or(equiv(implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))),X4),X5))
| ~ is_a_theorem(implies(or(equiv(implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1))))),X3),X4),not(implies(X4,implies(or(equiv(implies(X0,not(X1)),X2),X3),not(implies(X3,implies(or(and(X0,X1),X2),not(implies(X2,implies(X0,not(X1)))))))))))) ),
inference(paramodulation,[status(thm)],[f1062,f1073]) ).
fof(f9761,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X5)
| ~ is_a_theorem(or(equiv(implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))),X4),X5))
| ~ is_a_theorem(implies(or(equiv(implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0))),X3),X4),not(implies(X4,implies(or(equiv(X0,implies(X1,not(X2))),X3),not(implies(X3,implies(implies(X0,implies(X1,not(X2))),not(or(and(X1,X2),X0)))))))))) ),
inference(paramodulation,[status(thm)],[f1063,f1073]) ).
fof(f9762,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X4)
| ~ is_a_theorem(or(equiv(implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))),X3),X4))
| ~ is_a_theorem(implies(or(equiv(implies(implies(X0,X1),not(implies(X1,X0))),X2),X3),not(implies(X3,implies(or(equiv(X0,X1),X2),not(implies(X2,implies(implies(X0,X1),not(implies(X1,X0)))))))))) ),
inference(paramodulation,[status(thm)],[f1064,f1073]) ).
fof(f9763,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X5)
| ~ is_a_theorem(or(equiv(implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))),X4),X5))
| ~ is_a_theorem(implies(or(equiv(implies(X0,not(X1)),implies(X2,not(X3))),X4),not(implies(X4,implies(or(and(X0,X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(X0,not(X1))))))))) ),
inference(paramodulation,[status(thm)],[f1027,f1073]) ).
fof(f9770,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X5)
| ~ is_a_theorem(or(equiv(implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))),X4),X5))
| ~ is_a_theorem(implies(or(equiv(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),X4),not(implies(X4,implies(implies(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),X3),X0))))))) ),
inference(paramodulation,[status(thm)],[f1072,f1073]) ).
fof(f9771,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X5)
| ~ is_a_theorem(or(equiv(implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))),X4),X5))
| ~ is_a_theorem(implies(or(equiv(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),X4),not(implies(X4,implies(implies(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),not(or(equiv(X1,implies(X2,not(X3))),X0))))))) ),
inference(paramodulation,[status(thm)],[f1034,f1073]) ).
fof(f9772,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X4)
| ~ is_a_theorem(or(equiv(implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))),X3),X4))
| ~ is_a_theorem(implies(or(equiv(X0,implies(implies(X1,X2),not(implies(X2,X1)))),X3),not(implies(X3,implies(implies(X0,implies(implies(X1,X2),not(implies(X2,X1)))),not(or(equiv(X1,X2),X0))))))) ),
inference(paramodulation,[status(thm)],[f1035,f1073]) ).
fof(f9778,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X4)
| ~ is_a_theorem(or(equiv(implies(X0,not(X1)),or(and(X2,X3),not(implies(not(X3),X2)))),X4))
| ~ is_a_theorem(implies(or(and(X0,X1),or(and(X2,X3),not(implies(not(X3),X2)))),not(or(equiv(X2,not(X3)),implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f755,f1073]) ).
fof(f9779,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X4)
| ~ is_a_theorem(or(equiv(implies(X0,not(X1)),implies(implies(not(X2),X3),and(X3,X2))),X4))
| ~ is_a_theorem(implies(or(and(X0,X1),implies(implies(not(X2),X3),and(X3,X2))),not(or(equiv(not(X2),X3),implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f727,f1073]) ).
fof(f9870,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),implies(X1,not(X2))),not(implies(implies(X1,not(X2)),implies(X1,not(X2)))))),or(X0,X3))) ),
inference(resolution,[status(thm)],[f1280,f2167]) ).
fof(f9871,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,or(implies(X4,X4),X5)))) ),
inference(resolution,[status(thm)],[f1280,f1698]) ).
fof(f9872,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,or(and(X4,X4),not(X4))))) ),
inference(resolution,[status(thm)],[f1280,f671]) ).
fof(f9873,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,or(X4,equiv(X5,X5))))) ),
inference(resolution,[status(thm)],[f1280,f2161]) ).
fof(f9874,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,or(X4,implies(X5,X5))))) ),
inference(resolution,[status(thm)],[f1280,f1560]) ).
fof(f9875,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,or(X4,not(equiv(implies(X1,not(X2)),X3)))))) ),
inference(resolution,[status(thm)],[f1280,f3096]) ).
fof(f9876,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,or(X4,not(X4))))) ),
inference(resolution,[status(thm)],[f1280,f2474]) ).
fof(f9877,plain,
! [X0,X1,X2,X3] :
( ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,not(or(equiv(implies(X1,not(X2)),X3),equiv(implies(X1,not(X2)),X3)))))) ),
inference(resolution,[status(thm)],[f1280,f2432]) ).
fof(f9878,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,not(equiv(implies(X1,not(X2)),X3))))) ),
inference(resolution,[status(thm)],[f1280,f2438]) ).
fof(f9879,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,equiv(X4,X4)))) ),
inference(resolution,[status(thm)],[f1280,f1660]) ).
fof(f9880,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(implies(X4,or(X5,X6)),or(X5,implies(X4,X6)))))) ),
inference(resolution,[status(thm)],[f1280,f639]) ).
fof(f9881,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(implies(X4,X5),or(X5,not(X4)))))) ),
inference(resolution,[status(thm)],[f1280,f686]) ).
fof(f9882,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ87_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(implies(X4,X5),implies(implies(X6,X4),implies(X6,X5)))))) ),
inference(resolution,[status(thm)],[f1280,f629]) ).
fof(f9883,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(implies(X4,X5),implies(or(X6,X4),or(X6,X5)))))) ),
inference(resolution,[status(thm)],[f1280,f630]) ).
fof(f9884,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(or(X4,implies(X5,X6)),implies(X5,or(X4,X6)))))) ),
inference(resolution,[status(thm)],[f1280,f659]) ).
fof(f9885,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(or(X4,not(X5)),implies(X5,X4))))) ),
inference(resolution,[status(thm)],[f1280,f709]) ).
fof(f9886,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(or(X4,or(X5,X6)),or(X5,or(X4,X6)))))) ),
inference(resolution,[status(thm)],[f1280,f626]) ).
fof(f9887,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(or(X4,X5),or(X5,X4))))) ),
inference(resolution,[status(thm)],[f1280,f627]) ).
fof(f9888,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(or(X4,equiv(implies(X1,not(X2)),X3)),X4)))) ),
inference(resolution,[status(thm)],[f1280,f1543]) ).
fof(f9889,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),X4)))) ),
inference(resolution,[status(thm)],[f1280,f1613]) ).
fof(f9890,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(or(X4,X4),X4)))) ),
inference(resolution,[status(thm)],[f1280,f628]) ).
fof(f9892,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(X4,and(X4,X4))))) ),
inference(resolution,[status(thm)],[f1280,f698]) ).
fof(f9893,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(X4,not(equiv(implies(X1,not(X2)),X3)))))) ),
inference(resolution,[status(thm)],[f1280,f3161]) ).
fof(f9895,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(X4,or(X5,X4))))) ),
inference(resolution,[status(thm)],[f1280,f632]) ).
fof(f9896,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(X4,X4)))) ),
inference(resolution,[status(thm)],[f1280,f1548]) ).
fof(f9910,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),implies(X1,not(X2))),not(or(and(X1,X2),implies(X1,not(X2)))))),or(X0,X3))) ),
inference(forward_demodulation,[status(thm)],[f566,f9870]) ).
fof(f9946,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(X3,implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f2233,f1338]) ).
fof(f9947,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X2,implies(X3,X3)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f2233,f605]) ).
fof(f9948,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X3,implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f2233,f616]) ).
fof(f9949,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f2233,f636]) ).
fof(f9950,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(X0,implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f2233,f582]) ).
fof(f9952,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(or(X0,implies(X1,implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f2233,f2548]) ).
fof(f9953,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f2233,f588]) ).
fof(f9954,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f2233,f591]) ).
fof(f9955,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(or(X0,implies(X1,implies(X2,X2))),or(X0,implies(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f2233,f696]) ).
fof(f9956,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(X3,implies(X4,X4)))) ),
inference(paramodulation,[status(thm)],[f596,f2233]) ).
fof(f9957,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(X4,implies(X5,X5)))) ),
inference(paramodulation,[status(thm)],[f905,f2233]) ).
fof(f9958,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(X5,implies(X6,X6)))) ),
inference(paramodulation,[status(thm)],[f902,f2233]) ).
fof(f9959,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))) ),
inference(paramodulation,[status(thm)],[f486,f2233]) ).
fof(f9963,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,or(equiv(X2,not(X3)),or(and(X2,X3),not(implies(not(X3),X2))))))) ),
inference(paramodulation,[status(thm)],[f755,f2233]) ).
fof(f9964,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,or(equiv(not(X2),X3),implies(implies(not(X2),X3),and(X3,X2)))))) ),
inference(paramodulation,[status(thm)],[f727,f2233]) ).
fof(f9965,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,or(and(X2,X3),implies(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f566,f2233]) ).
fof(f9966,definition,
! [X2,X3] :
( sQ103_spl
<=> is_a_theorem(implies(X2,implies(X3,X3))) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f9967,plain,
! [X0,X1] :
( ~ sQ103_spl
| is_a_theorem(implies(X0,implies(X1,X1))) ),
inference(component_clause,[status(thm)],[f9966]) ).
fof(f9969,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| sQ103_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f9947,f1005,f9966,f442,f297,f175,f485,f471]) ).
fof(f9970,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X4)
| ~ is_a_theorem(or(equiv(or(and(X0,X1),not(implies(not(X1),X0))),implies(X2,not(X3))),X4))
| ~ is_a_theorem(implies(or(equiv(X0,not(X1)),implies(X2,not(X3))),not(or(and(X2,X3),or(and(X0,X1),not(implies(not(X1),X0))))))) ),
inference(paramodulation,[status(thm)],[f755,f1037]) ).
fof(f9971,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X4)
| ~ is_a_theorem(or(equiv(implies(implies(not(X0),X1),and(X1,X0)),implies(X2,not(X3))),X4))
| ~ is_a_theorem(implies(or(equiv(not(X0),X1),implies(X2,not(X3))),not(or(and(X2,X3),implies(implies(not(X0),X1),and(X1,X0)))))) ),
inference(paramodulation,[status(thm)],[f727,f1037]) ).
fof(f9991,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X5)
| ~ is_a_theorem(or(equiv(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))))),X5))
| ~ is_a_theorem(implies(implies(X0,implies(or(equiv(implies(X1,not(X2)),X3),X4),not(implies(X4,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))))))),not(or(equiv(implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2))))),X4),X0)))) ),
inference(paramodulation,[status(thm)],[f1062,f1037]) ).
fof(f9992,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X5)
| ~ is_a_theorem(or(equiv(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))))),X5))
| ~ is_a_theorem(implies(implies(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),not(implies(X4,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))))))),not(or(equiv(implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1))),X4),X0)))) ),
inference(paramodulation,[status(thm)],[f1063,f1037]) ).
fof(f9993,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X4)
| ~ is_a_theorem(or(equiv(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))))),X4))
| ~ is_a_theorem(implies(implies(X0,implies(or(equiv(X1,X2),X3),not(implies(X3,implies(implies(X1,X2),not(implies(X2,X1))))))),not(or(equiv(implies(implies(X1,X2),not(implies(X2,X1))),X3),X0)))) ),
inference(paramodulation,[status(thm)],[f1064,f1037]) ).
fof(f9994,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X5)
| ~ is_a_theorem(or(equiv(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2)))))),X5))
| ~ is_a_theorem(implies(implies(X0,implies(or(and(X1,X2),implies(X3,not(X4))),not(or(and(X3,X4),implies(X1,not(X2)))))),not(or(equiv(implies(X1,not(X2)),implies(X3,not(X4))),X0)))) ),
inference(paramodulation,[status(thm)],[f1027,f1037]) ).
fof(f10001,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X5)
| ~ is_a_theorem(or(equiv(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1)))),X5))
| ~ is_a_theorem(implies(implies(X0,implies(implies(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),not(or(equiv(implies(X2,not(X3)),X4),X1)))),not(or(equiv(X1,implies(or(and(X2,X3),X4),not(implies(X4,implies(X2,not(X3)))))),X0)))) ),
inference(paramodulation,[status(thm)],[f1072,f1037]) ).
fof(f10002,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X5)
| ~ is_a_theorem(or(equiv(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1)))),X5))
| ~ is_a_theorem(implies(implies(X0,implies(implies(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),not(or(equiv(X2,implies(X3,not(X4))),X1)))),not(or(equiv(X1,implies(implies(X2,implies(X3,not(X4))),not(or(and(X3,X4),X2)))),X0)))) ),
inference(paramodulation,[status(thm)],[f1034,f1037]) ).
fof(f10003,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X4)
| ~ is_a_theorem(or(equiv(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1)))),X4))
| ~ is_a_theorem(implies(implies(X0,implies(implies(X1,implies(implies(X2,X3),not(implies(X3,X2)))),not(or(equiv(X2,X3),X1)))),not(or(equiv(X1,implies(implies(X2,X3),not(implies(X3,X2)))),X0)))) ),
inference(paramodulation,[status(thm)],[f1035,f1037]) ).
fof(f10086,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,or(implies(X4,X4),X5)))) ),
inference(resolution,[status(thm)],[f1281,f1698]) ).
fof(f10087,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,or(and(X4,X4),not(X4))))) ),
inference(resolution,[status(thm)],[f1281,f671]) ).
fof(f10088,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,or(X4,equiv(X5,X5))))) ),
inference(resolution,[status(thm)],[f1281,f2161]) ).
fof(f10089,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,or(X4,implies(X5,X5))))) ),
inference(resolution,[status(thm)],[f1281,f1560]) ).
fof(f10090,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,or(X4,not(equiv(X1,implies(X2,not(X3)))))))) ),
inference(resolution,[status(thm)],[f1281,f3096]) ).
fof(f10091,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,or(X4,not(X4))))) ),
inference(resolution,[status(thm)],[f1281,f2474]) ).
fof(f10092,plain,
! [X0,X1,X2,X3] :
( ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,not(or(equiv(X1,implies(X2,not(X3))),equiv(X1,implies(X2,not(X3)))))))) ),
inference(resolution,[status(thm)],[f1281,f2432]) ).
fof(f10093,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,not(equiv(X1,implies(X2,not(X3))))))) ),
inference(resolution,[status(thm)],[f1281,f2438]) ).
fof(f10094,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,equiv(X4,X4)))) ),
inference(resolution,[status(thm)],[f1281,f1660]) ).
fof(f10095,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(implies(X4,or(X5,X6)),or(X5,implies(X4,X6)))))) ),
inference(resolution,[status(thm)],[f1281,f639]) ).
fof(f10096,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(implies(X4,X5),or(X5,not(X4)))))) ),
inference(resolution,[status(thm)],[f1281,f686]) ).
fof(f10097,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ87_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(implies(X4,X5),implies(implies(X6,X4),implies(X6,X5)))))) ),
inference(resolution,[status(thm)],[f1281,f629]) ).
fof(f10098,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(implies(X4,X5),implies(or(X6,X4),or(X6,X5)))))) ),
inference(resolution,[status(thm)],[f1281,f630]) ).
fof(f10099,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(or(X4,implies(X5,X6)),implies(X5,or(X4,X6)))))) ),
inference(resolution,[status(thm)],[f1281,f659]) ).
fof(f10100,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(or(X4,not(X5)),implies(X5,X4))))) ),
inference(resolution,[status(thm)],[f1281,f709]) ).
fof(f10101,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(or(X4,or(X5,X6)),or(X5,or(X4,X6)))))) ),
inference(resolution,[status(thm)],[f1281,f626]) ).
fof(f10102,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(or(X4,X5),or(X5,X4))))) ),
inference(resolution,[status(thm)],[f1281,f627]) ).
fof(f10103,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(or(X4,equiv(X1,implies(X2,not(X3)))),X4)))) ),
inference(resolution,[status(thm)],[f1281,f1543]) ).
fof(f10104,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(or(equiv(X1,implies(X2,not(X3))),X4),X4)))) ),
inference(resolution,[status(thm)],[f1281,f1613]) ).
fof(f10105,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(or(X4,X4),X4)))) ),
inference(resolution,[status(thm)],[f1281,f628]) ).
fof(f10107,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(X4,and(X4,X4))))) ),
inference(resolution,[status(thm)],[f1281,f698]) ).
fof(f10108,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(X4,not(equiv(X1,implies(X2,not(X3)))))))) ),
inference(resolution,[status(thm)],[f1281,f3161]) ).
fof(f10109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(X4,implies(X5,X5))))) ),
inference(resolution,[status(thm)],[f1281,f2233]) ).
fof(f10111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(X4,or(X5,X4))))) ),
inference(resolution,[status(thm)],[f1281,f632]) ).
fof(f10112,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(X4,X4)))) ),
inference(resolution,[status(thm)],[f1281,f1548]) ).
fof(f10164,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X1,implies(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2234,f176]) ).
fof(f10165,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(not(not(implies(X0,implies(X1,implies(X2,X2)))))) ),
inference(resolution,[status(thm)],[f2234,f2548]) ).
fof(f10166,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f2234,f588]) ).
fof(f10167,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f2234,f591]) ).
fof(f10168,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(X0,implies(X1,implies(X2,X2))),implies(X0,implies(X1,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f2234,f696]) ).
fof(f10175,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,or(equiv(X2,not(X3)),or(and(X2,X3),not(implies(not(X3),X2))))))) ),
inference(paramodulation,[status(thm)],[f755,f2234]) ).
fof(f10176,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,or(equiv(not(X2),X3),implies(implies(not(X2),X3),and(X3,X2)))))) ),
inference(paramodulation,[status(thm)],[f727,f2234]) ).
fof(f10177,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,or(and(X2,X3),implies(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f566,f2234]) ).
fof(f10178,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ73_spl
| sQ103_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f10164,f1022,f9966,f442,f297,f485,f220,f175]) ).
fof(f10179,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X2)
| ~ is_a_theorem(or(equiv(implies(not(X0),X1),and(X1,X0)),X2))
| ~ is_a_theorem(or(equiv(not(X0),X1),not(implies(and(X1,X0),implies(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f727,f1003]) ).
fof(f10181,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X3)
| ~ is_a_theorem(or(equiv(or(and(X0,X1),not(implies(not(X1),X0))),X2),X3))
| ~ is_a_theorem(implies(or(equiv(X0,not(X1)),X2),not(implies(X2,or(and(X0,X1),not(implies(not(X1),X0))))))) ),
inference(paramodulation,[status(thm)],[f755,f1003]) ).
fof(f10182,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X3)
| ~ is_a_theorem(or(equiv(implies(implies(not(X0),X1),and(X1,X0)),X2),X3))
| ~ is_a_theorem(implies(or(equiv(not(X0),X1),X2),not(implies(X2,implies(implies(not(X0),X1),and(X1,X0)))))) ),
inference(paramodulation,[status(thm)],[f727,f1003]) ).
fof(f10184,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X3)
| ~ is_a_theorem(or(equiv(equiv(X0,implies(X1,not(X2))),implies(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))),X3))
| ~ is_a_theorem(implies(implies(equiv(X0,implies(X1,not(X2))),implies(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2))))),equiv(not(or(and(X1,X2),X0)),implies(X0,implies(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f1043,f1003]) ).
fof(f10185,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X3)
| ~ is_a_theorem(or(equiv(equiv(implies(X0,not(X1)),X2),implies(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))),X3))
| ~ is_a_theorem(implies(implies(equiv(implies(X0,not(X1)),X2),implies(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2))),equiv(not(implies(X2,implies(X0,not(X1)))),or(and(X0,X1),X2)))) ),
inference(paramodulation,[status(thm)],[f1079,f1003]) ).
fof(f10186,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X2)
| ~ is_a_theorem(or(equiv(equiv(X0,X1),implies(not(implies(X1,X0)),implies(X0,X1))),X2))
| ~ is_a_theorem(implies(implies(equiv(X0,X1),implies(not(implies(X1,X0)),implies(X0,X1))),equiv(not(implies(X1,X0)),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f719,f1003]) ).
fof(f10187,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X2)
| ~ is_a_theorem(or(equiv(and(X0,X1),implies(not(X1),X0)),X2))
| ~ is_a_theorem(implies(implies(and(X0,X1),implies(not(X1),X0)),equiv(not(X1),X0))) ),
inference(paramodulation,[status(thm)],[f592,f1003]) ).
fof(f10188,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X4)
| ~ is_a_theorem(or(equiv(and(implies(X0,not(X1)),X2),X3),X4))
| ~ is_a_theorem(implies(implies(and(implies(X0,not(X1)),X2),X3),and(X3,or(and(X0,X1),not(X2))))) ),
inference(paramodulation,[status(thm)],[f601,f1003]) ).
fof(f10189,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X5)
| ~ is_a_theorem(or(equiv(and(X0,or(and(X1,X2),not(X3))),X4),X5))
| ~ is_a_theorem(implies(implies(and(X0,or(and(X1,X2),not(X3))),X4),and(X4,implies(X0,and(implies(X1,not(X2)),X3))))) ),
inference(paramodulation,[status(thm)],[f904,f1003]) ).
fof(f10190,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(X6)
| ~ is_a_theorem(or(equiv(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),X6))
| ~ is_a_theorem(implies(implies(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5),and(X5,implies(X0,and(X1,or(and(X2,X3),not(X4))))))) ),
inference(paramodulation,[status(thm)],[f903,f1003]) ).
fof(f10192,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X3)
| ~ is_a_theorem(or(equiv(X0,or(and(X1,X2),not(implies(not(X2),X1)))),X3))
| ~ is_a_theorem(implies(implies(X0,or(and(X1,X2),not(implies(not(X2),X1)))),not(or(equiv(X1,not(X2)),X0)))) ),
inference(paramodulation,[status(thm)],[f755,f1003]) ).
fof(f10193,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| is_a_theorem(X3)
| ~ is_a_theorem(or(equiv(X0,implies(implies(not(X1),X2),and(X2,X1))),X3))
| ~ is_a_theorem(implies(implies(X0,implies(implies(not(X1),X2),and(X2,X1))),not(or(equiv(not(X1),X2),X0)))) ),
inference(paramodulation,[status(thm)],[f727,f1003]) ).
fof(f10195,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X1),not(implies(X1,X1)))),or(X0,X2))) ),
inference(resolution,[status(thm)],[f1282,f2167]) ).
fof(f10196,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,or(implies(X3,X3),X4)))) ),
inference(resolution,[status(thm)],[f1282,f1698]) ).
fof(f10197,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,or(and(X3,X3),not(X3))))) ),
inference(resolution,[status(thm)],[f1282,f671]) ).
fof(f10198,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,or(X3,equiv(X4,X4))))) ),
inference(resolution,[status(thm)],[f1282,f2161]) ).
fof(f10199,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,or(X3,implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f1282,f1560]) ).
fof(f10200,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,or(X3,not(equiv(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1282,f3096]) ).
fof(f10201,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f1282,f2474]) ).
fof(f10202,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,not(or(equiv(X1,X2),equiv(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1282,f2432]) ).
fof(f10203,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,not(equiv(X1,X2))))) ),
inference(resolution,[status(thm)],[f1282,f2438]) ).
fof(f10204,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f1282,f1660]) ).
fof(f10205,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(implies(X3,or(X4,X5)),or(X4,implies(X3,X5)))))) ),
inference(resolution,[status(thm)],[f1282,f639]) ).
fof(f10206,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(implies(X3,X4),or(X4,not(X3)))))) ),
inference(resolution,[status(thm)],[f1282,f686]) ).
fof(f10207,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ81_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(implies(X3,X4),implies(implies(X5,X3),implies(X5,X4)))))) ),
inference(resolution,[status(thm)],[f1282,f629]) ).
fof(f10208,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(implies(X3,X4),implies(or(X5,X3),or(X5,X4)))))) ),
inference(resolution,[status(thm)],[f1282,f630]) ).
fof(f10209,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(or(X3,implies(X4,X5)),implies(X4,or(X3,X5)))))) ),
inference(resolution,[status(thm)],[f1282,f659]) ).
fof(f10210,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(or(X3,not(X4)),implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f1282,f709]) ).
fof(f10211,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(or(X3,or(X4,X5)),or(X4,or(X3,X5)))))) ),
inference(resolution,[status(thm)],[f1282,f626]) ).
fof(f10212,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(or(X3,X4),or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1282,f627]) ).
fof(f10213,plain,
! [X0,X1,X2,X3] :
( ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(or(X3,equiv(X1,X2)),X3)))) ),
inference(resolution,[status(thm)],[f1282,f1543]) ).
fof(f10214,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(or(equiv(X1,X2),X3),X3)))) ),
inference(resolution,[status(thm)],[f1282,f1613]) ).
fof(f10215,plain,
! [X0,X1,X2,X3] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(or(X3,X3),X3)))) ),
inference(resolution,[status(thm)],[f1282,f628]) ).
fof(f10217,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(X3,and(X3,X3))))) ),
inference(resolution,[status(thm)],[f1282,f698]) ).
fof(f10218,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(X3,not(equiv(X1,X2)))))) ),
inference(resolution,[status(thm)],[f1282,f3161]) ).
fof(f10219,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(X3,implies(X4,X4))))) ),
inference(resolution,[status(thm)],[f1282,f2233]) ).
fof(f10221,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f1282,f632]) ).
fof(f10222,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f1282,f1548]) ).
fof(f10226,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,or(equiv(X3,X3),X4)))) ),
inference(resolution,[status(thm)],[f2277,f1338]) ).
fof(f10227,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(equiv(X2,X2),X3))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f2277,f605]) ).
fof(f10228,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,or(equiv(X3,X3),X4)))) ),
inference(resolution,[status(thm)],[f2277,f616]) ).
fof(f10230,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(or(equiv(X0,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f2277,f582]) ).
fof(f10232,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ87_spl
| ~ sQ81_spl
| is_a_theorem(not(not(or(X0,or(equiv(X1,X1),X2))))) ),
inference(resolution,[status(thm)],[f2277,f2548]) ).
fof(f10233,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,or(X1,or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f2277,f588]) ).
fof(f10234,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,or(X1,or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f2277,f591]) ).
fof(f10235,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ34_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)],[f2277,f696]) ).
fof(f10236,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),or(equiv(X3,X3),X4))) ),
inference(paramodulation,[status(thm)],[f596,f2277]) ).
fof(f10237,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),or(equiv(X4,X4),X5))) ),
inference(paramodulation,[status(thm)],[f905,f2277]) ).
fof(f10238,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),or(equiv(X5,X5),X6))) ),
inference(paramodulation,[status(thm)],[f902,f2277]) ).
fof(f10239,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,or(equiv(X1,X1),X2))) ),
inference(paramodulation,[status(thm)],[f486,f2277]) ).
fof(f10240,definition,
! [X2,X3] :
( sQ104_spl
<=> is_a_theorem(or(equiv(X2,X2),X3)) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f10241,plain,
! [X0,X1] :
( ~ sQ104_spl
| is_a_theorem(or(equiv(X0,X0),X1)) ),
inference(component_clause,[status(thm)],[f10240]) ).
fof(f10243,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| sQ104_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f10227,f1005,f10240,f412,f431,f492,f297,f442,f175,f485,f471]) ).
fof(f10244,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(or(X0,not(or(X1,or(X2,X3)))),or(X2,or(X1,X3)))) ),
inference(resolution,[status(thm)],[f1120,f3229]) ).
fof(f10249,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ76_spl
| is_a_theorem(or(implies(X0,not(or(X1,or(X2,X3)))),or(X2,or(X1,X3)))) ),
inference(resolution,[status(thm)],[f1120,f3312]) ).
fof(f10258,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(or(not(X0),or(X2,or(X1,X3))))
| ~ is_a_theorem(implies(X0,or(X1,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f486,f1120]) ).
fof(f10270,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,or(X2,or(X1,X3))))
| ~ is_a_theorem(implies(X0,or(X1,or(X2,X3)))) ),
inference(forward_demodulation,[status(thm)],[f486,f10258]) ).
fof(f10279,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(or(X0,not(or(X1,X1))),X1)) ),
inference(resolution,[status(thm)],[f1176,f3229]) ).
fof(f10282,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(or(and(X0,X1),implies(X0,not(X1)))) ),
inference(resolution,[status(thm)],[f1176,f600]) ).
fof(f10285,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ76_spl
| is_a_theorem(or(implies(X0,not(or(X1,X1))),X1)) ),
inference(resolution,[status(thm)],[f1176,f3312]) ).
fof(f10297,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(or(not(X0),X1))
| ~ is_a_theorem(implies(X0,or(X1,X1))) ),
inference(paramodulation,[status(thm)],[f486,f1176]) ).
fof(f10298,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,and(implies(X1,not(X2)),X3)))
| ~ is_a_theorem(or(X0,implies(or(and(X1,X2),not(X3)),and(implies(X1,not(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f596,f1176]) ).
fof(f10299,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,and(X1,or(and(X2,X3),not(X4)))))
| ~ is_a_theorem(or(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),and(X1,or(and(X2,X3),not(X4)))))) ),
inference(paramodulation,[status(thm)],[f905,f1176]) ).
fof(f10300,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))))
| ~ is_a_theorem(or(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),and(X1,implies(X2,and(implies(X3,not(X4)),X5)))))) ),
inference(paramodulation,[status(thm)],[f902,f1176]) ).
fof(f10301,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,not(X1)))
| ~ is_a_theorem(or(X0,implies(X1,not(X1)))) ),
inference(paramodulation,[status(thm)],[f486,f1176]) ).
fof(f10305,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,or(X1,X1))) ),
inference(forward_demodulation,[status(thm)],[f486,f10297]) ).
fof(f10310,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(equiv(X1,X1),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2281,f176]) ).
fof(f10311,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ81_spl
| is_a_theorem(not(not(implies(X0,or(equiv(X1,X1),X2))))) ),
inference(resolution,[status(thm)],[f2281,f2548]) ).
fof(f10312,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X1,or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f2281,f588]) ).
fof(f10313,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(X1,or(equiv(X2,X2),X3)))) ),
inference(resolution,[status(thm)],[f2281,f591]) ).
fof(f10314,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ73_spl
| is_a_theorem(and(implies(X0,or(equiv(X1,X1),X2)),implies(X0,or(equiv(X1,X1),X2)))) ),
inference(resolution,[status(thm)],[f2281,f696]) ).
fof(f10318,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| sQ104_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f10310,f1022,f10240,f442,f471,f412,f485,f431,f492,f297,f220,f175]) ).
fof(f10319,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(or(X0,not(or(X1,X2))),or(X2,X1))) ),
inference(resolution,[status(thm)],[f1159,f3229]) ).
fof(f10322,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(and(X0,X1),or(implies(X0,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f1159,f600]) ).
fof(f10325,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ76_spl
| is_a_theorem(or(implies(X0,not(or(X1,X2))),or(X2,X1))) ),
inference(resolution,[status(thm)],[f1159,f3312]) ).
fof(f10334,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(not(X0),X1))) ),
inference(resolution,[status(thm)],[f1159,f3096]) ).
fof(f10339,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(not(X0),or(X2,X1)))
| ~ is_a_theorem(implies(X0,or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f486,f1159]) ).
fof(f10340,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(X4,and(implies(X1,not(X2)),X3))))
| ~ is_a_theorem(or(X0,implies(or(and(X1,X2),not(X3)),X4))) ),
inference(paramodulation,[status(thm)],[f596,f1159]) ).
fof(f10341,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(X5,and(X1,or(and(X2,X3),not(X4))))))
| ~ is_a_theorem(or(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),X5))) ),
inference(paramodulation,[status(thm)],[f905,f1159]) ).
fof(f10342,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(X6,and(X1,implies(X2,and(implies(X3,not(X4)),X5))))))
| ~ is_a_theorem(or(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X6))) ),
inference(paramodulation,[status(thm)],[f902,f1159]) ).
fof(f10345,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,implies(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f486,f10334]) ).
fof(f10350,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,or(X2,X1)))
| ~ is_a_theorem(implies(X0,or(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f486,f10339]) ).
fof(f10351,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(or(X0,not(implies(X1,or(X2,X3)))),or(X2,implies(X1,X3)))) ),
inference(resolution,[status(thm)],[f1589,f3229]) ).
fof(f10354,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(and(X0,X1),or(X2,implies(or(X2,X0),not(X1))))) ),
inference(resolution,[status(thm)],[f1589,f598]) ).
fof(f10357,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ76_spl
| is_a_theorem(or(implies(X0,not(implies(X1,or(X2,X3)))),or(X2,implies(X1,X3)))) ),
inference(resolution,[status(thm)],[f1589,f3312]) ).
fof(f10361,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(X1,implies(implies(X2,or(X1,X3)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f1589,f639]) ).
fof(f10362,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,implies(implies(X2,X1),not(X2))))) ),
inference(resolution,[status(thm)],[f1589,f686]) ).
fof(f10363,plain,
! [X0,X1,X2,X3] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ85_spl
| is_a_theorem(or(X0,or(X1,implies(or(X2,or(X1,X3)),or(X2,X3))))) ),
inference(resolution,[status(thm)],[f1589,f626]) ).
fof(f10365,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(X1,implies(or(or(X1,X2),X0),X2)))) ),
inference(resolution,[status(thm)],[f1589,f1543]) ).
fof(f10366,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(X1,implies(or(X0,or(X1,X2)),X2)))) ),
inference(resolution,[status(thm)],[f1589,f1613]) ).
fof(f10367,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(X1,implies(or(or(X1,X2),or(X1,X2)),X2)))) ),
inference(resolution,[status(thm)],[f1589,f628]) ).
fof(f10369,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(X1,implies(or(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f1589,f1548]) ).
fof(f10373,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(or(not(X0),or(X2,implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f486,f1589]) ).
fof(f10380,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,or(not(X2),implies(X1,X3))))
| ~ is_a_theorem(or(X0,implies(X1,implies(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f486,f1589]) ).
fof(f10384,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X2,implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,or(X2,X3)))) ),
inference(forward_demodulation,[status(thm)],[f486,f10373]) ).
fof(f10391,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X2,implies(X1,X3))))
| ~ is_a_theorem(or(X0,implies(X1,implies(X2,X3)))) ),
inference(forward_demodulation,[status(thm)],[f486,f10380]) ).
fof(f10392,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(or(and(X1,X2),X3),not(implies(X3,implies(X1,not(X2)))))),or(X0,implies(equiv(implies(X1,not(X2)),X3),X4)))) ),
inference(resolution,[status(thm)],[f10345,f1280]) ).
fof(f10393,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,implies(X2,not(X3))),not(or(and(X2,X3),X1)))),or(X0,implies(equiv(X1,implies(X2,not(X3))),X4)))) ),
inference(resolution,[status(thm)],[f10345,f1281]) ).
fof(f10394,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),not(implies(X2,X1)))),or(X0,implies(equiv(X1,X2),X3)))) ),
inference(resolution,[status(thm)],[f10345,f1282]) ).
fof(f10395,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(and(X1,X2),X3)))) ),
inference(resolution,[status(thm)],[f10345,f1338]) ).
fof(f10396,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(implies(and(X0,X1),X2))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f10345,f605]) ).
fof(f10397,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(and(X1,X2),X3)))) ),
inference(resolution,[status(thm)],[f10345,f616]) ).
fof(f10398,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,or(X1,implies(X0,X2)))) ),
inference(resolution,[status(thm)],[f10345,f1589]) ).
fof(f10399,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,or(X0,X1))) ),
inference(resolution,[status(thm)],[f10345,f636]) ).
fof(f10400,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[f10345,f582]) ).
fof(f10401,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(not(not(or(X0,implies(X0,X1))))) ),
inference(resolution,[status(thm)],[f10345,f2548]) ).
fof(f10402,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(X1,implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f10345,f588]) ).
fof(f10403,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,or(X1,implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f10345,f591]) ).
fof(f10404,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ76_spl
| is_a_theorem(and(or(X0,implies(X0,X1)),or(X0,implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f10345,f696]) ).
fof(f10405,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(and(implies(X0,not(X1)),X2),X3))) ),
inference(paramodulation,[status(thm)],[f596,f10345]) ).
fof(f10406,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(and(X0,or(and(X1,X2),not(X3))),X4))) ),
inference(paramodulation,[status(thm)],[f905,f10345]) ).
fof(f10407,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5))) ),
inference(paramodulation,[status(thm)],[f902,f10345]) ).
fof(f10408,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f486,f10345]) ).
fof(f10409,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(or(and(X0,X1),not(implies(not(X1),X0))),or(equiv(X0,not(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f755,f10345]) ).
fof(f10410,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(implies(implies(not(X0),X1),and(X1,X0)),or(equiv(not(X0),X1),X2))) ),
inference(paramodulation,[status(thm)],[f727,f10345]) ).
fof(f10411,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(or(implies(X0,not(X1)),or(and(X0,X1),X2))) ),
inference(paramodulation,[status(thm)],[f566,f10345]) ).
fof(f10412,plain,
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ76_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f10399,f286,f453,f431,f412,f297,f442,f175,f485]) ).
fof(f10413,plain,
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ76_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f10408,f390,f453,f431,f412,f297,f442,f175,f485]) ).
fof(f10414,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(X0,X1))) ),
inference(resolution,[status(thm)],[f287,f635]) ).
fof(f10415,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,X1),not(X0))) ),
inference(resolution,[status(thm)],[f287,f668]) ).
fof(f10416,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f287,f618]) ).
fof(f10417,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,X1),or(X0,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f287,f568]) ).
fof(f10418,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f287,f176]) ).
fof(f10419,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(not(not(implies(X0,or(X0,X1))))) ),
inference(resolution,[status(thm)],[f287,f2548]) ).
fof(f10420,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f287,f588]) ).
fof(f10421,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f287,f591]) ).
fof(f10422,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X0,or(X0,X1)))) ),
inference(resolution,[status(thm)],[f287,f696]) ).
fof(f10423,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(or(equiv(X0,not(X1)),or(or(and(X0,X1),not(implies(not(X1),X0))),X2))) ),
inference(paramodulation,[status(thm)],[f755,f287]) ).
fof(f10424,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(or(equiv(not(X0),X1),or(implies(implies(not(X0),X1),and(X1,X0)),X2))) ),
inference(paramodulation,[status(thm)],[f727,f287]) ).
fof(f10425,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(or(and(X0,X1),or(implies(X0,not(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f566,f287]) ).
fof(f10426,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(implies(X0,not(X1)),X2),implies(or(and(X0,X1),not(X2)),X3))) ),
inference(paramodulation,[status(thm)],[f596,f287]) ).
fof(f10427,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(X0,or(and(X1,X2),not(X3))),implies(implies(X0,and(implies(X1,not(X2)),X3)),X4))) ),
inference(paramodulation,[status(thm)],[f905,f287]) ).
fof(f10428,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),X5))) ),
inference(paramodulation,[status(thm)],[f902,f287]) ).
fof(f10429,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(X0),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f486,f287]) ).
fof(f10430,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(not(X0),X1),not(X0))) ),
inference(resolution,[status(thm)],[f391,f668]) ).
fof(f10431,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,implies(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f391,f618]) ).
fof(f10432,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f391,f568]) ).
fof(f10433,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f391,f176]) ).
fof(f10434,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(X0,implies(not(X0),X1))))) ),
inference(resolution,[status(thm)],[f391,f2548]) ).
fof(f10435,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(X1,implies(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f391,f588]) ).
fof(f10436,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f391,f591]) ).
fof(f10437,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ59_spl
| is_a_theorem(and(implies(X0,implies(not(X0),X1)),implies(X0,implies(not(X0),X1)))) ),
inference(resolution,[status(thm)],[f391,f696]) ).
fof(f10438,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(not(or(and(X0,X1),not(implies(not(X1),X0)))),X2))) ),
inference(paramodulation,[status(thm)],[f755,f391]) ).
fof(f10439,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(not(implies(implies(not(X0),X1),and(X1,X0))),X2))) ),
inference(paramodulation,[status(thm)],[f727,f391]) ).
fof(f10440,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(or(and(X0,X1),implies(not(implies(X0,not(X1))),X2))) ),
inference(paramodulation,[status(thm)],[f566,f391]) ).
fof(f10441,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(and(not(X0),X1),and(not(X1),X0)),implies(equiv(not(X0),not(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f716,f391]) ).
fof(f10442,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(and(implies(X0,not(X1)),X2),X3))) ),
inference(paramodulation,[status(thm)],[f602,f391]) ).
fof(f10443,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),equiv(X2,implies(X0,not(X1)))),implies(equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),X3))) ),
inference(paramodulation,[status(thm)],[f1043,f391]) ).
fof(f10444,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),equiv(implies(X1,not(X2)),X0)),implies(equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),X3))) ),
inference(paramodulation,[status(thm)],[f1079,f391]) ).
fof(f10445,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(implies(not(implies(X0,X1)),implies(X1,X0)),equiv(X1,X0)),implies(equiv(not(implies(X0,X1)),implies(X1,X0)),X2))) ),
inference(paramodulation,[status(thm)],[f719,f391]) ).
fof(f10446,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(implies(not(X0),X1),and(X1,X0)),implies(equiv(not(X0),X1),X2))) ),
inference(paramodulation,[status(thm)],[f592,f391]) ).
fof(f10447,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(and(X0,or(and(X1,X2),not(X3))),X4))) ),
inference(paramodulation,[status(thm)],[f601,f391]) ).
fof(f10448,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),X5))) ),
inference(paramodulation,[status(thm)],[f904,f391]) ).
fof(f10449,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),implies(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),X6))) ),
inference(paramodulation,[status(thm)],[f903,f391]) ).
fof(f10450,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(and(X0,X1),X2))) ),
inference(paramodulation,[status(thm)],[f530,f391]) ).
fof(f10451,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(and(implies(X0,not(X1)),implies(not(X1),X0)),X2))) ),
inference(forward_demodulation,[status(thm)],[f602,f10438]) ).
fof(f10452,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(equiv(X0,not(X1)),X2))) ),
inference(forward_demodulation,[status(thm)],[f493,f10451]) ).
fof(f10453,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(equiv(not(X0),X1),X2))) ),
inference(forward_demodulation,[status(thm)],[f592,f10439]) ).
fof(f10454,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(or(and(X0,X1),implies(and(X0,X1),X2))) ),
inference(forward_demodulation,[status(thm)],[f530,f10440]) ).
fof(f10455,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ59_spl
| is_a_theorem(or(equiv(not(X0),not(X1)),implies(equiv(not(X0),not(X1)),X2))) ),
inference(forward_demodulation,[status(thm)],[f3836,f10441]) ).
fof(f10456,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ59_spl
| is_a_theorem(or(equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),implies(equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),X3))) ),
inference(forward_demodulation,[status(thm)],[f4148,f10443]) ).
fof(f10457,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ59_spl
| is_a_theorem(or(equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),implies(equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),X3))) ),
inference(forward_demodulation,[status(thm)],[f4147,f10444]) ).
fof(f10458,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(or(equiv(not(implies(X0,X1)),implies(X1,X0)),implies(equiv(not(implies(X0,X1)),implies(X1,X0)),X2))) ),
inference(forward_demodulation,[status(thm)],[f3954,f10445]) ).
fof(f10459,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(equiv(not(X0),X1),X2))) ),
inference(forward_demodulation,[status(thm)],[f727,f10446]) ).
fof(f10460,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(or(and(X0,X1),implies(and(X0,X1),X2))) ),
inference(forward_demodulation,[status(thm)],[f566,f10450]) ).
fof(f10461,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(and(equiv(X0,X0),equiv(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f10418,f1658]) ).
fof(f10462,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(not(not(equiv(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f10418,f2644]) ).
fof(f10463,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(not(not(implies(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f10418,f2643]) ).
fof(f10464,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(not(and(not(X0),X0)),X1)) ),
inference(resolution,[status(thm)],[f10418,f2745]) ).
fof(f10465,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(or(not(and(X0,not(X0))),X1)) ),
inference(resolution,[status(thm)],[f10418,f2646]) ).
fof(f10466,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(or(or(or(X0,not(X1)),X1),X2)) ),
inference(resolution,[status(thm)],[f10418,f3229]) ).
fof(f10467,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(or(or(X0,not(X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f10418,f3097]) ).
fof(f10468,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(or(X0,X1),not(X1)),X2)) ),
inference(resolution,[status(thm)],[f10418,f2434]) ).
fof(f10470,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(and(X0,X1),implies(or(X2,X0),or(X2,not(X1)))),X3)) ),
inference(resolution,[status(thm)],[f10418,f598]) ).
fof(f10471,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(and(X0,X1),implies(implies(X2,X0),implies(X2,not(X1)))),X3)) ),
inference(resolution,[status(thm)],[f10418,f619]) ).
fof(f10472,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(and(X0,X1),implies(X1,not(X0))),X2)) ),
inference(resolution,[status(thm)],[f10418,f691]) ).
fof(f10473,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(and(X0,X1),implies(X2,implies(X0,not(X1)))),X3)) ),
inference(resolution,[status(thm)],[f10418,f599]) ).
fof(f10474,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(and(X0,X1),or(X2,implies(X0,not(X1)))),X3)) ),
inference(resolution,[status(thm)],[f10418,f600]) ).
fof(f10475,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(and(X0,X0),not(X0)),X1)) ),
inference(resolution,[status(thm)],[f10418,f587]) ).
fof(f10476,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(or(X0,X0),X0),X1),X2)) ),
inference(resolution,[status(thm)],[f10418,f826]) ).
fof(f10477,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(X0,and(X0,X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f10418,f1241]) ).
fof(f10478,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(X0,not(X1)),X1),X2)) ),
inference(resolution,[status(thm)],[f10418,f3312]) ).
fof(f10479,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(X0,implies(X1,X0)),X2),X3)) ),
inference(resolution,[status(thm)],[f10418,f876]) ).
fof(f10480,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(X0,or(X1,X0)),X2),X3)) ),
inference(resolution,[status(thm)],[f10418,f954]) ).
fof(f10481,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(X0,X1),not(X1)),X2)) ),
inference(resolution,[status(thm)],[f10418,f2436]) ).
fof(f10483,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,or(equiv(X1,X1),X2)),X3)) ),
inference(resolution,[status(thm)],[f10418,f2277]) ).
fof(f10484,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,or(implies(X1,X1),X2)),X3)) ),
inference(resolution,[status(thm)],[f10418,f1698]) ).
fof(f10485,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,or(and(X1,X1),not(X1))),X2)) ),
inference(resolution,[status(thm)],[f10418,f671]) ).
fof(f10486,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,or(X1,equiv(X2,X2))),X3)) ),
inference(resolution,[status(thm)],[f10418,f2161]) ).
fof(f10487,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,or(X1,implies(X2,X2))),X3)) ),
inference(resolution,[status(thm)],[f10418,f1560]) ).
fof(f10488,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,or(X1,not(X0))),X2)) ),
inference(resolution,[status(thm)],[f10418,f3096]) ).
fof(f10489,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,or(X1,not(X1))),X2)) ),
inference(resolution,[status(thm)],[f10418,f2474]) ).
fof(f10490,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,not(or(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f10418,f2432]) ).
fof(f10493,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f639]) ).
fof(f10494,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(implies(X1,X2),or(X2,not(X1)))),X3)) ),
inference(resolution,[status(thm)],[f10418,f686]) ).
fof(f10495,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f629]) ).
fof(f10496,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f630]) ).
fof(f10497,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f659]) ).
fof(f10498,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(or(X1,not(X2)),implies(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f709]) ).
fof(f10499,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f626]) ).
fof(f10500,plain,
! [X0,X1,X2,X3] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(or(X1,X2),or(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f627]) ).
fof(f10501,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(or(X1,X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f10418,f1543]) ).
fof(f10502,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(or(X0,X1),X1)),X2)) ),
inference(resolution,[status(thm)],[f10418,f1613]) ).
fof(f10503,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(or(X1,X1),X1)),X2)) ),
inference(resolution,[status(thm)],[f10418,f628]) ).
fof(f10504,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(X1,equiv(X2,X2))),X3)) ),
inference(resolution,[status(thm)],[f10418,f2182]) ).
fof(f10505,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(X1,and(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f10418,f698]) ).
fof(f10506,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(X1,not(X0))),X2)) ),
inference(resolution,[status(thm)],[f10418,f3161]) ).
fof(f10507,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(X1,implies(X2,X2))),X3)) ),
inference(resolution,[status(thm)],[f10418,f2233]) ).
fof(f10508,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(X1,implies(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f631]) ).
fof(f10509,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(X1,or(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f632]) ).
fof(f10510,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f10418,f10345]) ).
fof(f10511,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f10418,f1548]) ).
fof(f10512,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(not(X0),X1),or(and(X2,X0),implies(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f621]) ).
fof(f10513,plain,
! [X0,X1,X2,X3] :
( ~ sQ91_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f10418,f1719]) ).
fof(f10514,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f10418,f645]) ).
fof(f10515,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(X0,X1),or(X1,not(X0))),X2)) ),
inference(resolution,[status(thm)],[f10418,f583]) ).
fof(f10516,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f571]) ).
fof(f10517,plain,
! [X0,X1,X2,X3] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f454]) ).
fof(f10518,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(and(X0,X1),X2),implies(or(X3,implies(X0,not(X1))),or(X3,X2))),X4)) ),
inference(resolution,[status(thm)],[f10418,f604]) ).
fof(f10519,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(and(X0,X1),X2),implies(implies(X3,implies(X0,not(X1))),implies(X3,X2))),X4)) ),
inference(resolution,[status(thm)],[f10418,f620]) ).
fof(f10520,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,implies(X1,or(X2,X3))),or(X0,or(X2,implies(X1,X3)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f637]) ).
fof(f10521,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,implies(X1,X2)),or(X0,or(X2,not(X1)))),X3)) ),
inference(resolution,[status(thm)],[f10418,f683]) ).
fof(f10522,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,implies(X1,X2)),or(X0,implies(or(X3,X1),or(X3,X2)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f613]) ).
fof(f10523,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,implies(X1,X2)),or(X0,implies(implies(X3,X1),implies(X3,X2)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f617]) ).
fof(f10524,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f10418,f579]) ).
fof(f10525,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,not(X1)),implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f10418,f584]) ).
fof(f10526,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,or(X1,implies(X2,X3))),or(X0,implies(X2,or(X1,X3)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f656]) ).
fof(f10527,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,or(X1,not(X2))),or(X0,implies(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f706]) ).
fof(f10528,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,or(X1,or(X2,X3))),or(X0,or(X2,or(X1,X3)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f610]) ).
fof(f10529,plain,
! [X0,X1,X2,X3] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f611]) ).
fof(f10530,plain,
! [X0,X1,X2,X3] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f10418,f443]) ).
fof(f10531,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,or(X1,X1)),or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f10418,f612]) ).
fof(f10532,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,X1),or(X0,implies(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f614]) ).
fof(f10533,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,X1),or(X0,or(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f615]) ).
fof(f10534,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,X0),or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f10418,f1575]) ).
fof(f10535,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,X1),or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f10418,f432]) ).
fof(f10536,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,X0),X0),X1)) ),
inference(resolution,[status(thm)],[f10418,f413]) ).
fof(f10539,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(equiv(X1,X1),X2)),X3)) ),
inference(resolution,[status(thm)],[f10418,f2281]) ).
fof(f10540,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(implies(X1,X1),X2)),X3)) ),
inference(resolution,[status(thm)],[f10418,f1697]) ).
fof(f10541,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(and(X1,X1),not(X1))),X2)) ),
inference(resolution,[status(thm)],[f10418,f670]) ).
fof(f10542,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,equiv(X2,X2))),X3)) ),
inference(resolution,[status(thm)],[f10418,f2162]) ).
fof(f10543,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,implies(X2,X2))),X3)) ),
inference(resolution,[status(thm)],[f10418,f1559]) ).
fof(f10544,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,implies(X2,X0))),X3)) ),
inference(resolution,[status(thm)],[f10418,f1578]) ).
fof(f10545,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,and(X0,X0))),X2)) ),
inference(resolution,[status(thm)],[f10418,f1576]) ).
fof(f10546,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,or(X2,X0))),X3)) ),
inference(resolution,[status(thm)],[f10418,f1577]) ).
fof(f10547,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,not(X1))),X2)) ),
inference(resolution,[status(thm)],[f10418,f2475]) ).
fof(f10548,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(X0,or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f10418,f287]) ).
fof(f10549,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f10418,f298]) ).
fof(f10550,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(not(X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f10418,f391]) ).
fof(f10551,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f658]) ).
fof(f10552,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(or(X1,not(X2)),implies(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f708]) ).
fof(f10553,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f648]) ).
fof(f10554,plain,
! [X0,X1,X2,X3] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(or(X1,X2),or(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f649]) ).
fof(f10555,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(or(X1,X1),X1)),X2)) ),
inference(resolution,[status(thm)],[f10418,f650]) ).
fof(f10556,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f651]) ).
fof(f10557,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f652]) ).
fof(f10558,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),X4)) ),
inference(resolution,[status(thm)],[f10418,f653]) ).
fof(f10559,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(implies(X1,X2),or(X2,not(X1)))),X3)) ),
inference(resolution,[status(thm)],[f10418,f685]) ).
fof(f10560,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(X1,equiv(X2,X2))),X3)) ),
inference(resolution,[status(thm)],[f10418,f2183]) ).
fof(f10561,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(X1,and(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f10418,f697]) ).
fof(f10562,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(X1,implies(X2,X2))),X3)) ),
inference(resolution,[status(thm)],[f10418,f2234]) ).
fof(f10563,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(X1,implies(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f654]) ).
fof(f10564,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(X1,or(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f655]) ).
fof(f10565,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f10418,f1562]) ).
fof(f10566,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f10418,f221]) ).
fof(f10567,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,and(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f10418,f676]) ).
fof(f10568,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f10418,f1557]) ).
fof(f10570,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(equiv(X0,X0)),X1)) ),
inference(forward_demodulation,[status(thm)],[f486,f10462]) ).
fof(f10571,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(implies(X0,X0)),X1)) ),
inference(forward_demodulation,[status(thm)],[f486,f10463]) ).
fof(f10572,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(not(X0),X0),X1)) ),
inference(forward_demodulation,[status(thm)],[f486,f10464]) ).
fof(f10573,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(X0,not(X0)),X1)) ),
inference(forward_demodulation,[status(thm)],[f486,f10465]) ).
fof(f10574,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(resolution,[status(thm)],[f10400,f707]) ).
fof(f10575,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(implies(implies(X0,or(X1,X2)),X3),or(X1,implies(X0,X2)))) ),
inference(resolution,[status(thm)],[f10400,f1589]) ).
fof(f10576,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,or(implies(implies(X0,X1),X2),X1))) ),
inference(resolution,[status(thm)],[f10400,f636]) ).
fof(f10577,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| is_a_theorem(or(implies(or(X0,or(X1,X2)),X3),or(X1,or(X0,X2)))) ),
inference(resolution,[status(thm)],[f10400,f1120]) ).
fof(f10578,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| is_a_theorem(or(implies(or(X0,X1),X2),or(X1,X0))) ),
inference(resolution,[status(thm)],[f10400,f1159]) ).
fof(f10579,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ85_spl
| is_a_theorem(or(implies(or(X0,X0),X1),X0)) ),
inference(resolution,[status(thm)],[f10400,f1176]) ).
fof(f10580,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(implies(or(X0,X1),X2),X1))) ),
inference(resolution,[status(thm)],[f10400,f573]) ).
fof(f10582,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(or(implies(X0,X1),X0),X2)) ),
inference(resolution,[status(thm)],[f10400,f10418]) ).
fof(f10583,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(not(not(or(implies(X0,X1),X0)))) ),
inference(resolution,[status(thm)],[f10400,f2548]) ).
fof(f10584,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(X0,or(implies(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f10400,f588]) ).
fof(f10585,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,or(implies(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f10400,f591]) ).
fof(f10586,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ76_spl
| is_a_theorem(and(or(implies(X0,X1),X0),or(implies(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f10400,f696]) ).
fof(f10587,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(or(or(equiv(X0,not(X1)),X2),or(and(X0,X1),not(implies(not(X1),X0))))) ),
inference(paramodulation,[status(thm)],[f755,f10400]) ).
fof(f10588,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(or(or(equiv(not(X0),X1),X2),implies(implies(not(X0),X1),and(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f727,f10400]) ).
fof(f10589,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ76_spl
| is_a_theorem(or(or(and(X0,X1),X2),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f566,f10400]) ).
fof(f10590,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,X1),not(not(X0)))) ),
inference(resolution,[status(thm)],[f10429,f668]) ).
fof(f10591,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(X0,implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f10429,f618]) ).
fof(f10592,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,not(X1)),or(X0,implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f10429,f568]) ).
fof(f10593,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f10429,f176]) ).
fof(f10594,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| is_a_theorem(or(implies(not(X0),implies(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f10429,f10418]) ).
fof(f10595,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(not(not(implies(not(X0),implies(X0,X1))))) ),
inference(resolution,[status(thm)],[f10429,f2548]) ).
fof(f10596,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(not(X1),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f10429,f588]) ).
fof(f10597,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(not(X1),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f10429,f591]) ).
fof(f10598,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(not(X0),implies(X0,X1)),implies(not(X0),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f10429,f696]) ).
fof(f10607,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),implies(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),X6))) ),
inference(paramodulation,[status(thm)],[f903,f10429]) ).
fof(f10612,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ31_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,X1),implies(X0,implies(X1,X2)))) ),
inference(forward_demodulation,[status(thm)],[f566,f10591]) ).
fof(f10623,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(and(equiv(X0,X0),equiv(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f10433,f1658]) ).
fof(f10624,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(not(not(equiv(X0,X0)))),X1)) ),
inference(resolution,[status(thm)],[f10433,f2644]) ).
fof(f10625,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(not(not(implies(X0,X0)))),X1)) ),
inference(resolution,[status(thm)],[f10433,f2643]) ).
fof(f10626,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(not(and(not(X0),X0))),X1)) ),
inference(resolution,[status(thm)],[f10433,f2745]) ).
fof(f10627,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(not(and(X0,not(X0)))),X1)) ),
inference(resolution,[status(thm)],[f10433,f2646]) ).
fof(f10628,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(or(X0,not(X1)),X1)),X2)) ),
inference(resolution,[status(thm)],[f10433,f3229]) ).
fof(f10629,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(or(X0,not(X0)),X1)),X2)) ),
inference(resolution,[status(thm)],[f10433,f3097]) ).
fof(f10630,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(or(X0,X1),not(X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f2434]) ).
fof(f10631,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(equiv(X0,X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f10433,f2167]) ).
fof(f10632,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(and(X0,X1),implies(or(X2,X0),or(X2,not(X1))))),X3)) ),
inference(resolution,[status(thm)],[f10433,f598]) ).
fof(f10633,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(and(X0,X1),implies(implies(X2,X0),implies(X2,not(X1))))),X3)) ),
inference(resolution,[status(thm)],[f10433,f619]) ).
fof(f10634,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(and(X0,X1),implies(X1,not(X0)))),X2)) ),
inference(resolution,[status(thm)],[f10433,f691]) ).
fof(f10635,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(and(X0,X1),implies(X2,implies(X0,not(X1))))),X3)) ),
inference(resolution,[status(thm)],[f10433,f599]) ).
fof(f10636,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(and(X0,X1),or(X2,implies(X0,not(X1))))),X3)) ),
inference(resolution,[status(thm)],[f10433,f600]) ).
fof(f10637,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(and(X0,X0),not(X0))),X1)) ),
inference(resolution,[status(thm)],[f10433,f587]) ).
fof(f10638,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(implies(or(X0,X0),X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f10433,f826]) ).
fof(f10639,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(implies(X0,and(X0,X0)),X1)),X2)) ),
inference(resolution,[status(thm)],[f10433,f1241]) ).
fof(f10640,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(implies(X0,not(X1)),X1)),X2)) ),
inference(resolution,[status(thm)],[f10433,f3312]) ).
fof(f10641,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(implies(X0,implies(X1,X0)),X2)),X3)) ),
inference(resolution,[status(thm)],[f10433,f876]) ).
fof(f10642,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(implies(X0,or(X1,X0)),X2)),X3)) ),
inference(resolution,[status(thm)],[f10433,f954]) ).
fof(f10643,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(implies(X0,X1),not(X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f2436]) ).
fof(f10644,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(implies(X0,X1),X0)),X2)) ),
inference(resolution,[status(thm)],[f10433,f10400]) ).
fof(f10645,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(implies(X0,X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f10433,f1556]) ).
fof(f10646,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,or(equiv(X1,X1),X2))),X3)) ),
inference(resolution,[status(thm)],[f10433,f2277]) ).
fof(f10647,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,or(implies(X1,X1),X2))),X3)) ),
inference(resolution,[status(thm)],[f10433,f1698]) ).
fof(f10648,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,or(and(X1,X1),not(X1)))),X2)) ),
inference(resolution,[status(thm)],[f10433,f671]) ).
fof(f10649,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,or(X1,equiv(X2,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f2161]) ).
fof(f10650,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,or(X1,implies(X2,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f1560]) ).
fof(f10651,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,or(X1,not(X0)))),X2)) ),
inference(resolution,[status(thm)],[f10433,f3096]) ).
fof(f10652,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,or(X1,not(X1)))),X2)) ),
inference(resolution,[status(thm)],[f10433,f2474]) ).
fof(f10653,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,not(or(X0,X0)))),X1)) ),
inference(resolution,[status(thm)],[f10433,f2432]) ).
fof(f10654,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,not(X0))),X1)) ),
inference(resolution,[status(thm)],[f10433,f2438]) ).
fof(f10655,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,equiv(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f1660]) ).
fof(f10656,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f639]) ).
fof(f10657,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(implies(X1,X2),or(X2,not(X1))))),X3)) ),
inference(resolution,[status(thm)],[f10433,f686]) ).
fof(f10658,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f629]) ).
fof(f10659,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f630]) ).
fof(f10660,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f659]) ).
fof(f10661,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(or(X1,not(X2)),implies(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f709]) ).
fof(f10662,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f626]) ).
fof(f10663,plain,
! [X0,X1,X2,X3] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(or(X1,X2),or(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f627]) ).
fof(f10664,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(or(X1,X0),X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f1543]) ).
fof(f10665,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(or(X0,X1),X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f1613]) ).
fof(f10666,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(or(X1,X1),X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f628]) ).
fof(f10667,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(X1,equiv(X2,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f2182]) ).
fof(f10668,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(X1,and(X1,X1)))),X2)) ),
inference(resolution,[status(thm)],[f10433,f698]) ).
fof(f10669,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(X1,not(X0)))),X2)) ),
inference(resolution,[status(thm)],[f10433,f3161]) ).
fof(f10670,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(X1,implies(X2,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f2233]) ).
fof(f10671,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(X1,implies(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f631]) ).
fof(f10672,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(X1,or(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f632]) ).
fof(f10673,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f10345]) ).
fof(f10674,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(or(X0,implies(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f1548]) ).
fof(f10675,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(not(X0),implies(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f10429]) ).
fof(f10676,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(implies(not(X0),X1),or(and(X2,X0),implies(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f621]) ).
fof(f10677,plain,
! [X0,X1,X2,X3] :
( ~ sQ91_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f1719]) ).
fof(f10678,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f645]) ).
fof(f10679,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(implies(X0,X1),or(X1,not(X0)))),X2)) ),
inference(resolution,[status(thm)],[f10433,f583]) ).
fof(f10680,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f571]) ).
fof(f10681,plain,
! [X0,X1,X2,X3] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f454]) ).
fof(f10682,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(and(X0,X1),X2),implies(or(X3,implies(X0,not(X1))),or(X3,X2)))),X4)) ),
inference(resolution,[status(thm)],[f10433,f604]) ).
fof(f10683,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(and(X0,X1),X2),implies(implies(X3,implies(X0,not(X1))),implies(X3,X2)))),X4)) ),
inference(resolution,[status(thm)],[f10433,f620]) ).
fof(f10684,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,implies(X1,or(X2,X3))),or(X0,or(X2,implies(X1,X3))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f637]) ).
fof(f10685,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,implies(X1,X2)),or(X0,or(X2,not(X1))))),X3)) ),
inference(resolution,[status(thm)],[f10433,f683]) ).
fof(f10686,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,implies(X1,X2)),or(X0,implies(or(X3,X1),or(X3,X2))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f613]) ).
fof(f10687,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,implies(X1,X2)),or(X0,implies(implies(X3,X1),implies(X3,X2))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f617]) ).
fof(f10688,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f579]) ).
fof(f10689,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,not(X1)),implies(X1,X0))),X2)) ),
inference(resolution,[status(thm)],[f10433,f584]) ).
fof(f10690,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,or(X1,implies(X2,X3))),or(X0,implies(X2,or(X1,X3))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f656]) ).
fof(f10691,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,or(X1,not(X2))),or(X0,implies(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f706]) ).
fof(f10692,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,or(X1,or(X2,X3))),or(X0,or(X2,or(X1,X3))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f610]) ).
fof(f10693,plain,
! [X0,X1,X2,X3] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f611]) ).
fof(f10694,plain,
! [X0,X1,X2,X3] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f443]) ).
fof(f10695,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,or(X1,X1)),or(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f612]) ).
fof(f10696,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,X1),or(X0,implies(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f614]) ).
fof(f10697,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,X1),or(X0,or(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f615]) ).
fof(f10698,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,X0),or(X1,X0))),X2)) ),
inference(resolution,[status(thm)],[f10433,f1575]) ).
fof(f10699,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,X1),or(X1,X0))),X2)) ),
inference(resolution,[status(thm)],[f10433,f432]) ).
fof(f10700,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(X0,X0),X0)),X1)) ),
inference(resolution,[status(thm)],[f10433,f413]) ).
fof(f10701,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,not(not(X0)))),X1)) ),
inference(resolution,[status(thm)],[f10433,f2478]) ).
fof(f10702,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,equiv(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f1659]) ).
fof(f10703,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,or(equiv(X1,X1),X2))),X3)) ),
inference(resolution,[status(thm)],[f10433,f2281]) ).
fof(f10704,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,or(implies(X1,X1),X2))),X3)) ),
inference(resolution,[status(thm)],[f10433,f1697]) ).
fof(f10705,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,or(and(X1,X1),not(X1)))),X2)) ),
inference(resolution,[status(thm)],[f10433,f670]) ).
fof(f10706,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,or(X1,equiv(X2,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f2162]) ).
fof(f10707,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,or(X1,implies(X2,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f1559]) ).
fof(f10708,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,or(X1,implies(X2,X0)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f1578]) ).
fof(f10709,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,or(X1,and(X0,X0)))),X2)) ),
inference(resolution,[status(thm)],[f10433,f1576]) ).
fof(f10710,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,or(X1,or(X2,X0)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f1577]) ).
fof(f10711,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,or(X1,not(X1)))),X2)) ),
inference(resolution,[status(thm)],[f10433,f2475]) ).
fof(f10712,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,or(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f287]) ).
fof(f10713,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,or(X1,X0))),X2)) ),
inference(resolution,[status(thm)],[f10433,f298]) ).
fof(f10714,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| ~ sQ1_spl
| is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f391]) ).
fof(f10715,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f658]) ).
fof(f10716,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(or(X1,not(X2)),implies(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f708]) ).
fof(f10717,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f648]) ).
fof(f10718,plain,
! [X0,X1,X2,X3] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(or(X1,X2),or(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f649]) ).
fof(f10719,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(or(X1,X1),X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f650]) ).
fof(f10720,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f651]) ).
fof(f10721,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f652]) ).
fof(f10722,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))),X4)) ),
inference(resolution,[status(thm)],[f10433,f653]) ).
fof(f10723,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(implies(X1,X2),or(X2,not(X1))))),X3)) ),
inference(resolution,[status(thm)],[f10433,f685]) ).
fof(f10724,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(X1,equiv(X2,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f2183]) ).
fof(f10725,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(X1,and(X1,X1)))),X2)) ),
inference(resolution,[status(thm)],[f10433,f697]) ).
fof(f10726,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(X1,implies(X2,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f2234]) ).
fof(f10727,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(X1,implies(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f654]) ).
fof(f10728,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(X1,or(X2,X1)))),X3)) ),
inference(resolution,[status(thm)],[f10433,f655]) ).
fof(f10729,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)) ),
inference(resolution,[status(thm)],[f10433,f1562]) ).
fof(f10730,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,implies(X1,X0))),X2)) ),
inference(resolution,[status(thm)],[f10433,f221]) ).
fof(f10731,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,and(X0,X0))),X1)) ),
inference(resolution,[status(thm)],[f10433,f676]) ).
fof(f10732,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f10433,f1557]) ).
fof(f10733,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(equiv(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f10433,f1564]) ).
fof(f10734,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(and(implies(X0,not(X0)),X0),X1)) ),
inference(forward_demodulation,[status(thm)],[f602,f10637]) ).
fof(f10735,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| ~ sQ81_spl
| is_a_theorem(implies(and(X0,not(X0)),X1)) ),
inference(forward_demodulation,[status(thm)],[f530,f10701]) ).
fof(f10738,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(or(or(X0,X1),not(X0))),X2)) ),
inference(resolution,[status(thm)],[f10415,f10433]) ).
fof(f10739,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(or(or(X0,X1),not(X0)),X2)) ),
inference(resolution,[status(thm)],[f10415,f10418]) ).
fof(f10740,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(not(not(or(or(X0,X1),not(X0))))) ),
inference(resolution,[status(thm)],[f10415,f2548]) ).
fof(f10741,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(or(X1,X2),not(X1)))) ),
inference(resolution,[status(thm)],[f10415,f588]) ).
fof(f10742,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(or(X1,X2),not(X1)))) ),
inference(resolution,[status(thm)],[f10415,f591]) ).
fof(f10743,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(and(or(or(X0,X1),not(X0)),or(or(X0,X1),not(X0)))) ),
inference(resolution,[status(thm)],[f10415,f696]) ).
fof(f10744,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(and(X0,X1),not(X2)),X3),not(and(implies(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f596,f10415]) ).
fof(f10745,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(X0,and(implies(X1,not(X2)),X3)),X4),not(and(X0,or(and(X1,X2),not(X3)))))) ),
inference(paramodulation,[status(thm)],[f905,f10415]) ).
fof(f10746,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),X5),not(and(X0,implies(X1,and(implies(X2,not(X3)),X4)))))) ),
inference(paramodulation,[status(thm)],[f902,f10415]) ).
fof(f10748,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(or(and(not(X0),X1),and(not(X1),X0)),X2),equiv(not(X0),not(X1)))) ),
inference(paramodulation,[status(thm)],[f716,f10415]) ).
fof(f10749,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(or(and(X0,X1),not(X2)),X3),and(implies(X0,not(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f602,f10415]) ).
fof(f10750,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(implies(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))),equiv(X2,implies(X0,not(X1)))),X3),equiv(not(or(and(X0,X1),X2)),implies(X2,implies(X0,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f1043,f10415]) ).
fof(f10751,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(implies(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)),equiv(implies(X1,not(X2)),X0)),X3),equiv(not(implies(X0,implies(X1,not(X2)))),or(and(X1,X2),X0)))) ),
inference(paramodulation,[status(thm)],[f1079,f10415]) ).
fof(f10752,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(implies(not(implies(X0,X1)),implies(X1,X0)),equiv(X1,X0)),X2),equiv(not(implies(X0,X1)),implies(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f719,f10415]) ).
fof(f10753,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(implies(not(X0),X1),and(X1,X0)),X2),equiv(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f592,f10415]) ).
fof(f10754,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(X0,and(implies(X1,not(X2)),X3)),X4),and(X0,or(and(X1,X2),not(X3))))) ),
inference(paramodulation,[status(thm)],[f601,f10415]) ).
fof(f10755,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(X0,and(X1,or(and(X2,X3),not(X4)))),X5),and(X0,implies(X1,and(implies(X2,not(X3)),X4))))) ),
inference(paramodulation,[status(thm)],[f904,f10415]) ).
fof(f10756,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),X6),and(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))))) ),
inference(paramodulation,[status(thm)],[f903,f10415]) ).
fof(f10757,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(X0,not(X1)),X2),and(X0,X1))) ),
inference(paramodulation,[status(thm)],[f530,f10415]) ).
fof(f10759,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(or(X0,X1),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f10417,f635]) ).
fof(f10760,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(or(or(X0,or(X1,X2)),not(or(X0,X1)))) ),
inference(resolution,[status(thm)],[f10417,f668]) ).
fof(f10761,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(X0,or(X1,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f10417,f618]) ).
fof(f10762,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),or(X0,or(X1,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f10417,f568]) ).
fof(f10763,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,X2)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f10417,f176]) ).
fof(f10764,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(implies(or(X0,X1),or(X0,or(X1,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10417,f10433]) ).
fof(f10765,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ76_spl
| is_a_theorem(or(implies(or(X0,X1),or(X0,or(X1,X2))),X3)) ),
inference(resolution,[status(thm)],[f10417,f10418]) ).
fof(f10766,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(not(not(implies(or(X0,X1),or(X0,or(X1,X2)))))) ),
inference(resolution,[status(thm)],[f10417,f2548]) ).
fof(f10767,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(or(X1,X2),or(X1,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f10417,f588]) ).
fof(f10768,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),or(X1,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f10417,f591]) ).
fof(f10769,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(or(X0,X1),or(X0,or(X1,X2))),implies(or(X0,X1),or(X0,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f10417,f696]) ).
fof(f10770,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(or(equiv(X0,not(X1)),or(and(X0,X1),or(not(implies(not(X1),X0)),X2)))) ),
inference(paramodulation,[status(thm)],[f755,f10417]) ).
fof(f10779,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,and(implies(X1,not(X2)),X3)),or(X0,implies(or(and(X1,X2),not(X3)),X4)))) ),
inference(paramodulation,[status(thm)],[f596,f10417]) ).
fof(f10780,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,and(X1,or(and(X2,X3),not(X4)))),or(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),X5)))) ),
inference(paramodulation,[status(thm)],[f905,f10417]) ).
fof(f10781,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,and(X1,implies(X2,and(implies(X3,not(X4)),X5)))),or(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X6)))) ),
inference(paramodulation,[status(thm)],[f902,f10417]) ).
fof(f10783,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ31_spl
| is_a_theorem(or(equiv(X0,not(X1)),or(and(X0,X1),implies(implies(not(X1),X0),X2)))) ),
inference(forward_demodulation,[status(thm)],[f486,f10770]) ).
fof(f10795,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f10420,f1338]) ).
fof(f10797,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f10420,f616]) ).
fof(f10798,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f10420,f1589]) ).
fof(f10799,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,or(X0,X2)))) ),
inference(resolution,[status(thm)],[f10420,f636]) ).
fof(f10802,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(or(X0,implies(X1,or(X1,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10420,f10433]) ).
fof(f10803,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(X1,or(X1,X2))),X3)) ),
inference(resolution,[status(thm)],[f10420,f10418]) ).
fof(f10804,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(not(not(or(X0,implies(X1,or(X1,X2)))))) ),
inference(resolution,[status(thm)],[f10420,f2548]) ).
fof(f10805,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f10420,f588]) ).
fof(f10806,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f10420,f591]) ).
fof(f10807,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,implies(X1,or(X1,X2))),or(X0,implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f10420,f696]) ).
fof(f10808,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(X3,or(X3,X4)))) ),
inference(paramodulation,[status(thm)],[f596,f10420]) ).
fof(f10809,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(X4,or(X4,X5)))) ),
inference(paramodulation,[status(thm)],[f905,f10420]) ).
fof(f10810,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(X5,or(X5,X6)))) ),
inference(paramodulation,[status(thm)],[f902,f10420]) ).
fof(f10811,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f486,f10420]) ).
fof(f10812,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(equiv(X1,not(X2)),or(or(and(X1,X2),not(implies(not(X2),X1))),X3)))) ),
inference(paramodulation,[status(thm)],[f755,f10420]) ).
fof(f10813,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(equiv(not(X1),X2),or(implies(implies(not(X1),X2),and(X2,X1)),X3)))) ),
inference(paramodulation,[status(thm)],[f727,f10420]) ).
fof(f10814,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(and(X1,X2),or(implies(X1,not(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f566,f10420]) ).
fof(f10815,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(and(implies(X1,not(X2)),X3),implies(or(and(X1,X2),not(X3)),X4)))) ),
inference(paramodulation,[status(thm)],[f596,f10420]) ).
fof(f10816,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(and(X1,or(and(X2,X3),not(X4))),implies(implies(X1,and(implies(X2,not(X3)),X4)),X5)))) ),
inference(paramodulation,[status(thm)],[f905,f10420]) ).
fof(f10817,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X6)))) ),
inference(paramodulation,[status(thm)],[f902,f10420]) ).
fof(f10821,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(not(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f10570,f635]) ).
fof(f10823,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,not(equiv(X1,X1))),implies(X0,X2))) ),
inference(resolution,[status(thm)],[f10570,f618]) ).
fof(f10824,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,not(equiv(X1,X1))),or(X0,X2))) ),
inference(resolution,[status(thm)],[f10570,f568]) ).
fof(f10825,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f10570,f176]) ).
fof(f10826,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(implies(not(equiv(X0,X0)),X1)),X2)) ),
inference(resolution,[status(thm)],[f10570,f10433]) ).
fof(f10827,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(not(equiv(X0,X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f10570,f10418]) ).
fof(f10828,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(not(not(implies(not(equiv(X0,X0)),X1)))) ),
inference(resolution,[status(thm)],[f10570,f2548]) ).
fof(f10830,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(not(equiv(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f10570,f591]) ).
fof(f10831,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ87_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(not(equiv(X0,X0)),X1),implies(not(equiv(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f10570,f696]) ).
fof(f10832,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(and(X0,equiv(X1,X1)),implies(X0,X2))) ),
inference(forward_demodulation,[status(thm)],[f566,f10823]) ).
fof(f10833,definition,
! [X0] :
( sQ105_spl
<=> ~ is_a_theorem(not(equiv(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f10834,plain,
! [X0] :
( ~ sQ105_spl
| ~ is_a_theorem(not(equiv(X0,X0))) ),
inference(component_clause,[status(thm)],[f10833]) ).
fof(f10836,definition,
! [X1] :
( sQ106_spl
<=> is_a_theorem(X1) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f10837,plain,
! [X0] :
( ~ sQ106_spl
| is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f10836]) ).
fof(f10839,plain,
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f10825,f10833,f10836,f286,f442,f297,f471,f412,f485,f431,f492,f175]) ).
fof(f10842,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f10421,f568]) ).
fof(f10844,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(implies(X0,implies(X1,or(X1,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10421,f10433]) ).
fof(f10845,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(X1,or(X1,X2))),X3)) ),
inference(resolution,[status(thm)],[f10421,f10418]) ).
fof(f10846,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(not(not(implies(X0,implies(X1,or(X1,X2)))))) ),
inference(resolution,[status(thm)],[f10421,f2548]) ).
fof(f10847,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f10421,f588]) ).
fof(f10848,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f10421,f591]) ).
fof(f10849,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(X0,implies(X1,or(X1,X2))),implies(X0,implies(X1,or(X1,X2))))) ),
inference(resolution,[status(thm)],[f10421,f696]) ).
fof(f10850,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f755,f10421]) ).
fof(f10851,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f727,f10421]) ).
fof(f10852,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(and(X0,X1),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f566,f10421]) ).
fof(f10853,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(equiv(X1,not(X2)),or(or(and(X1,X2),not(implies(not(X2),X1))),X3)))) ),
inference(paramodulation,[status(thm)],[f755,f10421]) ).
fof(f10854,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(equiv(not(X1),X2),or(implies(implies(not(X1),X2),and(X2,X1)),X3)))) ),
inference(paramodulation,[status(thm)],[f727,f10421]) ).
fof(f10855,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(and(X1,X2),or(implies(X1,not(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f566,f10421]) ).
fof(f10856,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(and(implies(X1,not(X2)),X3),implies(or(and(X1,X2),not(X3)),X4)))) ),
inference(paramodulation,[status(thm)],[f596,f10421]) ).
fof(f10857,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(and(X1,or(and(X2,X3),not(X4))),implies(implies(X1,and(implies(X2,not(X3)),X4)),X5)))) ),
inference(paramodulation,[status(thm)],[f905,f10421]) ).
fof(f10858,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),X6)))) ),
inference(paramodulation,[status(thm)],[f902,f10421]) ).
fof(f10861,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(or(X0,X1),implies(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f10432,f635]) ).
fof(f10862,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(or(or(X0,implies(not(X1),X2)),not(or(X0,X1)))) ),
inference(resolution,[status(thm)],[f10432,f668]) ).
fof(f10863,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(X0,or(X1,implies(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f10432,f618]) ).
fof(f10864,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),or(X0,or(X1,implies(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f10432,f568]) ).
fof(f10865,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(X1),X2)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f10432,f176]) ).
fof(f10866,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ76_spl
| is_a_theorem(implies(not(implies(or(X0,X1),or(X0,implies(not(X1),X2)))),X3)) ),
inference(resolution,[status(thm)],[f10432,f10433]) ).
fof(f10867,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(or(X0,X1),or(X0,implies(not(X1),X2))),X3)) ),
inference(resolution,[status(thm)],[f10432,f10418]) ).
fof(f10868,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(or(X0,X1),or(X0,implies(not(X1),X2)))))) ),
inference(resolution,[status(thm)],[f10432,f2548]) ).
fof(f10869,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(or(X1,X2),or(X1,implies(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f10432,f588]) ).
fof(f10870,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),or(X1,implies(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f10432,f591]) ).
fof(f10871,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(and(implies(or(X0,X1),or(X0,implies(not(X1),X2))),implies(or(X0,X1),or(X0,implies(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f10432,f696]) ).
fof(f10872,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(or(equiv(X0,not(X1)),or(and(X0,X1),implies(not(not(implies(not(X1),X0))),X2)))) ),
inference(paramodulation,[status(thm)],[f755,f10432]) ).
fof(f10881,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,or(and(not(X1),X2),and(not(X2),X1))),or(X0,implies(equiv(not(X1),not(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f716,f10432]) ).
fof(f10882,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,or(and(X1,X2),not(X3))),or(X0,implies(and(implies(X1,not(X2)),X3),X4)))) ),
inference(paramodulation,[status(thm)],[f602,f10432]) ).
fof(f10883,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,implies(implies(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),equiv(X3,implies(X1,not(X2))))),or(X0,implies(equiv(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),X4)))) ),
inference(paramodulation,[status(thm)],[f1043,f10432]) ).
fof(f10884,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,implies(implies(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),equiv(implies(X2,not(X3)),X1))),or(X0,implies(equiv(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),X4)))) ),
inference(paramodulation,[status(thm)],[f1079,f10432]) ).
fof(f10885,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,implies(implies(not(implies(X1,X2)),implies(X2,X1)),equiv(X2,X1))),or(X0,implies(equiv(not(implies(X1,X2)),implies(X2,X1)),X3)))) ),
inference(paramodulation,[status(thm)],[f719,f10432]) ).
fof(f10886,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,implies(implies(not(X1),X2),and(X2,X1))),or(X0,implies(equiv(not(X1),X2),X3)))) ),
inference(paramodulation,[status(thm)],[f592,f10432]) ).
fof(f10887,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,implies(X1,and(implies(X2,not(X3)),X4))),or(X0,implies(and(X1,or(and(X2,X3),not(X4))),X5)))) ),
inference(paramodulation,[status(thm)],[f601,f10432]) ).
fof(f10888,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,or(and(X3,X4),not(X5))))),or(X0,implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X6)))) ),
inference(paramodulation,[status(thm)],[f904,f10432]) ).
fof(f10889,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6))))),or(X0,implies(and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6))))),X7)))) ),
inference(paramodulation,[status(thm)],[f903,f10432]) ).
fof(f10890,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(and(X1,X2),X3)))) ),
inference(paramodulation,[status(thm)],[f530,f10432]) ).
fof(f10902,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(X0,implies(X3,implies(not(X3),X4))))) ),
inference(resolution,[status(thm)],[f10435,f1338]) ).
fof(f10904,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X3,implies(not(X3),X4))))) ),
inference(resolution,[status(thm)],[f10435,f616]) ).
fof(f10905,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(X1,implies(not(X0),X2)))) ),
inference(resolution,[status(thm)],[f10435,f636]) ).
fof(f10906,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(X0,implies(not(X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f10435,f582]) ).
fof(f10908,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ34_spl
| is_a_theorem(implies(not(or(X0,implies(X1,implies(not(X1),X2)))),X3)) ),
inference(resolution,[status(thm)],[f10435,f10433]) ).
fof(f10909,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(or(X0,implies(X1,implies(not(X1),X2))),X3)) ),
inference(resolution,[status(thm)],[f10435,f10418]) ).
fof(f10910,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(not(not(or(X0,implies(X1,implies(not(X1),X2)))))) ),
inference(resolution,[status(thm)],[f10435,f2548]) ).
fof(f10911,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(X1,implies(X2,implies(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f10435,f588]) ).
fof(f10912,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,implies(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f10435,f591]) ).
fof(f10913,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(and(or(X0,implies(X1,implies(not(X1),X2))),or(X0,implies(X1,implies(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f10435,f696]) ).
fof(f10914,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(and(X0,X1),not(X2)),implies(X3,implies(not(X3),X4)))) ),
inference(paramodulation,[status(thm)],[f596,f10435]) ).
fof(f10915,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,and(implies(X1,not(X2)),X3)),implies(X4,implies(not(X4),X5)))) ),
inference(paramodulation,[status(thm)],[f905,f10435]) ).
fof(f10916,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,and(X1,or(and(X2,X3),not(X4)))),implies(X5,implies(not(X5),X6)))) ),
inference(paramodulation,[status(thm)],[f902,f10435]) ).
fof(f10917,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))) ),
inference(paramodulation,[status(thm)],[f486,f10435]) ).
fof(f10918,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(equiv(X1,not(X2)),implies(not(or(and(X1,X2),not(implies(not(X2),X1)))),X3)))) ),
inference(paramodulation,[status(thm)],[f755,f10435]) ).
fof(f10919,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(equiv(not(X1),X2),implies(not(implies(implies(not(X1),X2),and(X2,X1))),X3)))) ),
inference(paramodulation,[status(thm)],[f727,f10435]) ).
fof(f10920,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(and(X1,X2),implies(not(implies(X1,not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f566,f10435]) ).
fof(f10921,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(or(and(not(X1),X2),and(not(X2),X1)),implies(equiv(not(X1),not(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f716,f10435]) ).
fof(f10922,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(or(and(X1,X2),not(X3)),implies(and(implies(X1,not(X2)),X3),X4)))) ),
inference(paramodulation,[status(thm)],[f602,f10435]) ).
fof(f10923,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(implies(implies(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),equiv(X3,implies(X1,not(X2)))),implies(equiv(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),X4)))) ),
inference(paramodulation,[status(thm)],[f1043,f10435]) ).
fof(f10924,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(implies(implies(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),equiv(implies(X2,not(X3)),X1)),implies(equiv(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),X4)))) ),
inference(paramodulation,[status(thm)],[f1079,f10435]) ).
fof(f10925,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(implies(implies(not(implies(X1,X2)),implies(X2,X1)),equiv(X2,X1)),implies(equiv(not(implies(X1,X2)),implies(X2,X1)),X3)))) ),
inference(paramodulation,[status(thm)],[f719,f10435]) ).
fof(f10926,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(implies(implies(not(X1),X2),and(X2,X1)),implies(equiv(not(X1),X2),X3)))) ),
inference(paramodulation,[status(thm)],[f592,f10435]) ).
fof(f10927,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),implies(and(X1,or(and(X2,X3),not(X4))),X5)))) ),
inference(paramodulation,[status(thm)],[f601,f10435]) ).
fof(f10928,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X6)))) ),
inference(paramodulation,[status(thm)],[f904,f10435]) ).
fof(f10929,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),implies(and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6))))),X7)))) ),
inference(paramodulation,[status(thm)],[f903,f10435]) ).
fof(f10930,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(implies(X1,not(X2)),implies(and(X1,X2),X3)))) ),
inference(paramodulation,[status(thm)],[f530,f10435]) ).
fof(f10932,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(equiv(X1,not(X2)),implies(and(implies(X1,not(X2)),implies(not(X2),X1)),X3)))) ),
inference(forward_demodulation,[status(thm)],[f602,f10918]) ).
fof(f10933,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(equiv(X1,not(X2)),implies(equiv(X1,not(X2)),X3)))) ),
inference(forward_demodulation,[status(thm)],[f493,f10932]) ).
fof(f10934,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(equiv(not(X1),X2),implies(equiv(not(X1),X2),X3)))) ),
inference(forward_demodulation,[status(thm)],[f592,f10919]) ).
fof(f10935,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(and(X1,X2),implies(and(X1,X2),X3)))) ),
inference(forward_demodulation,[status(thm)],[f530,f10920]) ).
fof(f10936,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(equiv(not(X1),not(X2)),implies(equiv(not(X1),not(X2)),X3)))) ),
inference(forward_demodulation,[status(thm)],[f3836,f10921]) ).
fof(f10937,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(equiv(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),implies(equiv(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),X4)))) ),
inference(forward_demodulation,[status(thm)],[f4148,f10923]) ).
fof(f10938,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(equiv(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),implies(equiv(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),X4)))) ),
inference(forward_demodulation,[status(thm)],[f4147,f10924]) ).
fof(f10939,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(equiv(not(implies(X1,X2)),implies(X2,X1)),implies(equiv(not(implies(X1,X2)),implies(X2,X1)),X3)))) ),
inference(forward_demodulation,[status(thm)],[f3954,f10925]) ).
fof(f10940,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(equiv(not(X1),X2),implies(equiv(not(X1),X2),X3)))) ),
inference(forward_demodulation,[status(thm)],[f727,f10926]) ).
fof(f10941,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(and(X1,X2),implies(and(X1,X2),X3)))) ),
inference(forward_demodulation,[status(thm)],[f566,f10930]) ).
fof(f10942,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(X0,implies(not(X0),X1)),not(X2))) ),
inference(resolution,[status(thm)],[f10436,f668]) ).
fof(f10944,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,implies(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f10436,f568]) ).
fof(f10946,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ13_spl
| is_a_theorem(implies(not(implies(X0,implies(X1,implies(not(X1),X2)))),X3)) ),
inference(resolution,[status(thm)],[f10436,f10433]) ).
fof(f10947,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(X0,implies(X1,implies(not(X1),X2))),X3)) ),
inference(resolution,[status(thm)],[f10436,f10418]) ).
fof(f10948,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(X0,implies(X1,implies(not(X1),X2)))))) ),
inference(resolution,[status(thm)],[f10436,f2548]) ).
fof(f10949,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,implies(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f10436,f588]) ).
fof(f10950,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f10436,f591]) ).
fof(f10951,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(and(implies(X0,implies(X1,implies(not(X1),X2))),implies(X0,implies(X1,implies(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f10436,f696]) ).
fof(f10952,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(or(equiv(X0,not(X1)),implies(X2,implies(not(X2),X3)))) ),
inference(paramodulation,[status(thm)],[f755,f10436]) ).
fof(f10953,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(X2,implies(not(X2),X3)))) ),
inference(paramodulation,[status(thm)],[f727,f10436]) ).
fof(f10954,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(or(and(X0,X1),implies(X2,implies(not(X2),X3)))) ),
inference(paramodulation,[status(thm)],[f566,f10436]) ).
fof(f10955,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(equiv(X1,not(X2)),implies(not(or(and(X1,X2),not(implies(not(X2),X1)))),X3)))) ),
inference(paramodulation,[status(thm)],[f755,f10436]) ).
fof(f10956,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(equiv(not(X1),X2),implies(not(implies(implies(not(X1),X2),and(X2,X1))),X3)))) ),
inference(paramodulation,[status(thm)],[f727,f10436]) ).
fof(f10957,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(and(X1,X2),implies(not(implies(X1,not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f566,f10436]) ).
fof(f10958,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(or(and(not(X1),X2),and(not(X2),X1)),implies(equiv(not(X1),not(X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f716,f10436]) ).
fof(f10959,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(or(and(X1,X2),not(X3)),implies(and(implies(X1,not(X2)),X3),X4)))) ),
inference(paramodulation,[status(thm)],[f602,f10436]) ).
fof(f10960,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(implies(implies(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),equiv(X3,implies(X1,not(X2)))),implies(equiv(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),X4)))) ),
inference(paramodulation,[status(thm)],[f1043,f10436]) ).
fof(f10961,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(implies(implies(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),equiv(implies(X2,not(X3)),X1)),implies(equiv(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),X4)))) ),
inference(paramodulation,[status(thm)],[f1079,f10436]) ).
fof(f10962,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(implies(implies(not(implies(X1,X2)),implies(X2,X1)),equiv(X2,X1)),implies(equiv(not(implies(X1,X2)),implies(X2,X1)),X3)))) ),
inference(paramodulation,[status(thm)],[f719,f10436]) ).
fof(f10963,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(implies(implies(not(X1),X2),and(X2,X1)),implies(equiv(not(X1),X2),X3)))) ),
inference(paramodulation,[status(thm)],[f592,f10436]) ).
fof(f10964,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(implies(X2,not(X3)),X4)),implies(and(X1,or(and(X2,X3),not(X4))),X5)))) ),
inference(paramodulation,[status(thm)],[f601,f10436]) ).
fof(f10965,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(X2,or(and(X3,X4),not(X5)))),implies(and(X1,implies(X2,and(implies(X3,not(X4)),X5))),X6)))) ),
inference(paramodulation,[status(thm)],[f904,f10436]) ).
fof(f10966,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(X2,implies(X3,and(implies(X4,not(X5)),X6)))),implies(and(X1,implies(X2,and(X3,or(and(X4,X5),not(X6))))),X7)))) ),
inference(paramodulation,[status(thm)],[f903,f10436]) ).
fof(f10967,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(implies(X1,not(X2)),implies(and(X1,X2),X3)))) ),
inference(paramodulation,[status(thm)],[f530,f10436]) ).
fof(f10969,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(equiv(X1,not(X2)),implies(and(implies(X1,not(X2)),implies(not(X2),X1)),X3)))) ),
inference(forward_demodulation,[status(thm)],[f602,f10955]) ).
fof(f10970,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(equiv(X1,not(X2)),implies(equiv(X1,not(X2)),X3)))) ),
inference(forward_demodulation,[status(thm)],[f493,f10969]) ).
fof(f10971,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(equiv(not(X1),X2),implies(equiv(not(X1),X2),X3)))) ),
inference(forward_demodulation,[status(thm)],[f592,f10956]) ).
fof(f10972,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(and(X1,X2),implies(and(X1,X2),X3)))) ),
inference(forward_demodulation,[status(thm)],[f530,f10957]) ).
fof(f10973,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(equiv(not(X1),not(X2)),implies(equiv(not(X1),not(X2)),X3)))) ),
inference(forward_demodulation,[status(thm)],[f3836,f10958]) ).
fof(f10974,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(equiv(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),implies(equiv(not(or(and(X1,X2),X3)),implies(X3,implies(X1,not(X2)))),X4)))) ),
inference(forward_demodulation,[status(thm)],[f4148,f10960]) ).
fof(f10975,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(equiv(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),implies(equiv(not(implies(X1,implies(X2,not(X3)))),or(and(X2,X3),X1)),X4)))) ),
inference(forward_demodulation,[status(thm)],[f4147,f10961]) ).
fof(f10976,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(equiv(not(implies(X1,X2)),implies(X2,X1)),implies(equiv(not(implies(X1,X2)),implies(X2,X1)),X3)))) ),
inference(forward_demodulation,[status(thm)],[f3954,f10962]) ).
fof(f10977,plain,
! [X0,X1,X2,X3] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(equiv(not(X1),X2),implies(equiv(not(X1),X2),X3)))) ),
inference(forward_demodulation,[status(thm)],[f727,f10963]) ).
fof(f10978,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(and(X1,X2),implies(and(X1,X2),X3)))) ),
inference(forward_demodulation,[status(thm)],[f566,f10967]) ).
fof(f10980,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(not(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f10571,f635]) ).
fof(f10982,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,not(implies(X1,X1))),implies(X0,X2))) ),
inference(resolution,[status(thm)],[f10571,f618]) ).
fof(f10983,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,not(implies(X1,X1))),or(X0,X2))) ),
inference(resolution,[status(thm)],[f10571,f568]) ).
fof(f10984,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(X0,X0))) ),
inference(resolution,[status(thm)],[f10571,f176]) ).
fof(f10985,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(implies(not(implies(X0,X0)),X1)),X2)) ),
inference(resolution,[status(thm)],[f10571,f10433]) ).
fof(f10986,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(not(implies(X0,X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f10571,f10418]) ).
fof(f10987,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(not(not(implies(not(implies(X0,X0)),X1)))) ),
inference(resolution,[status(thm)],[f10571,f2548]) ).
fof(f10989,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f10571,f591]) ).
fof(f10990,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(not(implies(X0,X0)),X1),implies(not(implies(X0,X0)),X1))) ),
inference(resolution,[status(thm)],[f10571,f696]) ).
fof(f10991,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(and(implies(X0,not(X1)),X2),or(and(X0,X1),not(X2))),X3)) ),
inference(paramodulation,[status(thm)],[f601,f10571]) ).
fof(f10992,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(and(X0,or(and(X1,X2),not(X3))),implies(X0,and(implies(X1,not(X2)),X3))),X4)) ),
inference(paramodulation,[status(thm)],[f904,f10571]) ).
fof(f10993,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(and(X0,implies(X1,and(implies(X2,not(X3)),X4))),implies(X0,and(X1,or(and(X2,X3),not(X4))))),X5)) ),
inference(paramodulation,[status(thm)],[f903,f10571]) ).
fof(f10995,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(or(equiv(X0,not(X1)),or(and(X0,X1),not(implies(not(X1),X0))))),X2)) ),
inference(paramodulation,[status(thm)],[f755,f10571]) ).
fof(f10996,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(or(equiv(not(X0),X1),implies(implies(not(X0),X1),and(X1,X0)))),X2)) ),
inference(paramodulation,[status(thm)],[f727,f10571]) ).
fof(f10997,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(or(and(X0,X1),implies(X0,not(X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f566,f10571]) ).
fof(f10998,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,implies(X1,X1)),implies(X0,X2))) ),
inference(forward_demodulation,[status(thm)],[f566,f10982]) ).
fof(f10999,definition,
! [X0] :
( sQ107_spl
<=> ~ is_a_theorem(not(implies(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f11000,plain,
! [X0] :
( ~ sQ107_spl
| ~ is_a_theorem(not(implies(X0,X0))) ),
inference(component_clause,[status(thm)],[f10999]) ).
fof(f11002,plain,
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| sQ106_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f10984,f10999,f10836,f286,f431,f442,f485,f297,f412,f175]) ).
fof(f11003,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ sQ106_spl
| X0 = X1 ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f10837]) ).
fof(f11004,plain,
( sQ11_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ106_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f567,f10837]) ).
fof(f11005,plain,
( sQ63_spl
| ~ sQ106_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f407,f10837]) ).
fof(f11006,plain,
( sQ55_spl
| ~ sQ106_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f377,f10837]) ).
fof(f11007,plain,
( sQ47_spl
| ~ sQ106_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f347,f10837]) ).
fof(f11008,plain,
( sQ38_spl
| ~ sQ106_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f314,f10837]) ).
fof(f11009,plain,
( sQ17_spl
| ~ sQ106_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f237,f10837]) ).
fof(f11010,plain,
( sQ20_spl
| ~ sQ106_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f248,f10837]) ).
fof(f11011,plain,
( sQ57_spl
| ~ sQ106_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f385,f10837]) ).
fof(f11012,plain,
( sQ44_spl
| ~ sQ106_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f336,f10837]) ).
fof(f11013,plain,
( sQ41_spl
| ~ sQ106_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f325,f10837]) ).
fof(f11014,plain,
( sQ29_spl
| ~ sQ106_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f281,f10837]) ).
fof(f11015,plain,
( sQ26_spl
| ~ sQ106_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f270,f10837]) ).
fof(f11016,plain,
( sQ23_spl
| ~ sQ106_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f259,f10837]) ).
fof(f11017,plain,
( sQ52_spl
| ~ sQ106_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f366,f10837]) ).
fof(f11018,plain,
( sQ11_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f11004]) ).
fof(f11031,plain,
! [X0,X1,X2,X3] :
( ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f10418,f443]) ).
fof(f11032,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,X1),or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f10418,f432]) ).
fof(f11033,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,X0),X0),X1)) ),
inference(resolution,[status(thm)],[f10418,f413]) ).
fof(f11034,plain,
! [X0,X1,X2,X3] :
( ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f10418,f454]) ).
fof(f11036,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f10418,f221]) ).
fof(f11037,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f10418,f298]) ).
fof(f11039,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f10418,f1557]) ).
fof(f11072,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f696,f1557]) ).
fof(f11084,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ107_spl
| ~ is_a_theorem(and(not(X0),X0)) ),
inference(paramodulation,[status(thm)],[f530,f11000]) ).
fof(f11086,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(and(X0,X1),X2))) ),
inference(paramodulation,[status(thm)],[f530,f391]) ).
fof(f11087,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(or(and(X0,X1),implies(and(X0,X1),X2))) ),
inference(forward_demodulation,[status(thm)],[f566,f11086]) ).
fof(f11091,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))) ),
inference(paramodulation,[status(thm)],[f486,f443]) ).
fof(f11093,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f486,f298]) ).
fof(f11095,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| is_a_theorem(implies(implies(X0,not(X0)),not(X0))) ),
inference(paramodulation,[status(thm)],[f486,f413]) ).
fof(f11098,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(not(X0),or(X1,X2)),or(X1,implies(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f486,f443]) ).
fof(f11103,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))) ),
inference(forward_demodulation,[status(thm)],[f486,f11091]) ).
fof(f11105,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))) ),
inference(forward_demodulation,[status(thm)],[f486,f11098]) ).
fof(f11133,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(equiv(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f10433,f1564]) ).
fof(f11142,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f10433,f1557]) ).
fof(f11150,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f486,f1660]) ).
fof(f11165,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(or(and(X0,X0),not(X0)),X1)) ),
inference(resolution,[status(thm)],[f587,f10418]) ).
fof(f11166,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(equiv(X0,X0),not(implies(X0,X0)))) ),
inference(paramodulation,[status(thm)],[f493,f587]) ).
fof(f11178,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f486,f10345]) ).
fof(f11194,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(implies(X0,X1),or(X1,not(X0))),X2)) ),
inference(resolution,[status(thm)],[f583,f10418]) ).
fof(f11195,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f486,f583]) ).
fof(f11205,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(or(X0,implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f1548,f10418]) ).
fof(f11213,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f571,f10418]) ).
fof(f11220,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f579,f10418]) ).
fof(f11239,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(or(X0,not(X1)),implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f584,f10418]) ).
fof(f11240,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f486,f584]) ).
fof(f11254,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1562,f568]) ).
fof(f11260,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(X0,implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f1562,f10418]) ).
fof(f11271,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(or(and(X0,X1),implies(not(implies(X0,not(X1))),X2))) ),
inference(paramodulation,[status(thm)],[f566,f391]) ).
fof(f11276,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(or(and(X0,X1),or(implies(X0,not(X1)),X2))) ),
inference(paramodulation,[status(thm)],[f566,f287]) ).
fof(f11277,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(and(X1,X2),implies(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f566,f1562]) ).
fof(f11292,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(and(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f566,f221]) ).
fof(f11293,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ107_spl
| ~ is_a_theorem(not(or(and(X0,X1),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f566,f11000]) ).
fof(f11299,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(or(and(X0,X1),implies(and(X0,X1),X2))) ),
inference(forward_demodulation,[status(thm)],[f530,f11271]) ).
fof(f11319,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(implies(X0,and(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f676,f10418]) ).
fof(f11321,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f493,f676]) ).
fof(f11338,plain,
! [X0,X1] :
( ~ sQ59_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(not(X0),X1),not(X0))) ),
inference(resolution,[status(thm)],[f668,f391]) ).
fof(f11351,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| is_a_theorem(or(X0,implies(X0,X1))) ),
inference(resolution,[status(thm)],[f635,f287]) ).
fof(f11384,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(X0,implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f618,f10429]) ).
fof(f11396,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f618,f1562]) ).
fof(f11404,plain,
! [X0,X1,X2,X3] :
( ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X3,X3)))) ),
inference(resolution,[status(thm)],[f616,f1548]) ).
fof(f11406,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,equiv(X3,X3)))) ),
inference(resolution,[status(thm)],[f616,f1660]) ).
fof(f11421,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f636,f2167]) ).
fof(f11423,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,or(X0,X1))) ),
inference(resolution,[status(thm)],[f636,f10345]) ).
fof(f11430,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(resolution,[status(thm)],[f707,f10400]) ).
fof(f11431,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ87_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f707,f2167]) ).
fof(f11546,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(or(or(and(X0,X1),implies(X2,implies(X0,not(X1)))),X3)) ),
inference(resolution,[status(thm)],[f599,f10418]) ).
fof(f11549,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),or(and(X2,X3),implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f566,f599]) ).
fof(f11566,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ34_spl
| is_a_theorem(or(or(and(X0,X1),or(X2,implies(X0,not(X1)))),X3)) ),
inference(resolution,[status(thm)],[f600,f10418]) ).
fof(f11569,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ81_spl
| ~ sQ34_spl
| is_a_theorem(or(and(X0,X1),implies(X2,implies(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f600]) ).
fof(f11581,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(not(not(implies(X0,not(not(X0)))))) ),
inference(resolution,[status(thm)],[f2478,f2548]) ).
fof(f11582,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(not(implies(X0,not(not(X0)))),X1)) ),
inference(resolution,[status(thm)],[f2478,f10433]) ).
fof(f11591,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| is_a_theorem(implies(and(X0,not(X0)),X1)) ),
inference(forward_demodulation,[status(thm)],[f530,f11582]) ).
fof(f11597,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,or(and(X3,X3),not(X3))))) ),
inference(resolution,[status(thm)],[f671,f616]) ).
fof(f11607,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,or(and(X1,X1),not(X1)))) ),
inference(paramodulation,[status(thm)],[f486,f671]) ).
fof(f11608,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,or(equiv(X1,X1),not(implies(X1,X1))))) ),
inference(paramodulation,[status(thm)],[f493,f671]) ).
fof(f11618,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(implies(X3,or(X4,X5)),or(X4,implies(X3,X5)))))) ),
inference(resolution,[status(thm)],[f639,f616]) ).
fof(f11621,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))) ),
inference(resolution,[status(thm)],[f639,f585]) ).
fof(f11628,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3))))) ),
inference(paramodulation,[status(thm)],[f486,f639]) ).
fof(f11648,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(implies(X0,not(X1)),X1)) ),
inference(paramodulation,[status(thm)],[f486,f3229]) ).
fof(f11651,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(implies(X3,X4),or(X4,not(X3)))))) ),
inference(resolution,[status(thm)],[f686,f616]) ).
fof(f11661,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),or(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f686]) ).
fof(f11664,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(X1,not(X2)),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f686]) ).
fof(f11672,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(implies(X3,X4),implies(implies(X5,X3),implies(X5,X4)))))) ),
inference(resolution,[status(thm)],[f629,f616]) ).
fof(f11682,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))) ),
inference(paramodulation,[status(thm)],[f486,f629]) ).
fof(f11691,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f3097,f707]) ).
fof(f11705,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(implies(X3,X4),implies(or(X5,X3),or(X5,X4)))))) ),
inference(resolution,[status(thm)],[f630,f616]) ).
fof(f11715,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))) ),
inference(paramodulation,[status(thm)],[f486,f630]) ).
fof(f11724,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(X3,implies(X4,X5)),implies(X4,or(X3,X5)))))) ),
inference(resolution,[status(thm)],[f659,f616]) ).
fof(f11734,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| is_a_theorem(implies(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3))))) ),
inference(paramodulation,[status(thm)],[f486,f659]) ).
fof(f11756,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(X3,not(X4)),implies(X4,X3))))) ),
inference(resolution,[status(thm)],[f709,f616]) ).
fof(f11766,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f709]) ).
fof(f11767,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(implies(X1,not(X2)),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f709]) ).
fof(f11775,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(X3,or(X4,X5)),or(X4,or(X3,X5)))))) ),
inference(resolution,[status(thm)],[f626,f616]) ).
fof(f11785,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))) ),
inference(paramodulation,[status(thm)],[f486,f626]) ).
fof(f11803,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(X0,X1),not(X1))) ),
inference(paramodulation,[status(thm)],[f486,f2434]) ).
fof(f11807,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(X3,X4),or(X4,X3))))) ),
inference(resolution,[status(thm)],[f627,f616]) ).
fof(f11817,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f627]) ).
fof(f11822,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(or(X3,X3),X3)))) ),
inference(resolution,[status(thm)],[f628,f616]) ).
fof(f11832,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(or(X1,X1),X1))) ),
inference(paramodulation,[status(thm)],[f486,f628]) ).
fof(f11833,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,not(X1)),not(X1)))) ),
inference(paramodulation,[status(thm)],[f486,f628]) ).
fof(f11849,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X3,implies(not(X3),X4))))) ),
inference(resolution,[status(thm)],[f10435,f616]) ).
fof(f11851,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(X0,implies(not(X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f10435,f582]) ).
fof(f11859,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))) ),
inference(paramodulation,[status(thm)],[f486,f10435]) ).
fof(f11860,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(and(X1,X2),implies(not(implies(X1,not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f566,f10435]) ).
fof(f11861,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(implies(X1,not(X2)),implies(and(X1,X2),X3)))) ),
inference(paramodulation,[status(thm)],[f530,f10435]) ).
fof(f11863,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(and(X1,X2),implies(and(X1,X2),X3)))) ),
inference(forward_demodulation,[status(thm)],[f530,f11860]) ).
fof(f11864,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,or(and(X1,X2),implies(and(X1,X2),X3)))) ),
inference(forward_demodulation,[status(thm)],[f566,f11861]) ).
fof(f11888,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(or(and(X0,X1),X2),not(X2))) ),
inference(paramodulation,[status(thm)],[f566,f2436]) ).
fof(f11892,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X3,or(X3,X4))))) ),
inference(resolution,[status(thm)],[f10420,f616]) ).
fof(f11902,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f486,f10420]) ).
fof(f11907,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X3,or(X4,X3))))) ),
inference(resolution,[status(thm)],[f632,f616]) ).
fof(f11917,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f632]) ).
fof(f11919,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f632]) ).
fof(f11932,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ70_spl
| is_a_theorem(or(X0,implies(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f486,f3096]) ).
fof(f11966,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(and(X1,X2),X3)),implies(implies(X1,not(X2)),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f566,f645]) ).
fof(f11967,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,not(X2)),X3)),or(and(X1,X2),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f566,f645]) ).
fof(f11970,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(and(X1,X2),X3)),or(and(X1,X2),implies(X0,X3)))) ),
inference(forward_demodulation,[status(thm)],[f566,f11966]) ).
fof(f11971,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(implies(X0,or(and(X1,X2),X3)),or(and(X1,X2),implies(X0,X3)))) ),
inference(forward_demodulation,[status(thm)],[f566,f11967]) ).
fof(f11974,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,or(X3,not(X3))))) ),
inference(resolution,[status(thm)],[f2474,f616]) ).
fof(f11984,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,or(X1,not(X1)))) ),
inference(paramodulation,[status(thm)],[f486,f2474]) ).
fof(f12044,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,not(or(not(X0),not(X0))))) ),
inference(paramodulation,[status(thm)],[f486,f2432]) ).
fof(f12045,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(or(not(X0),not(implies(X0,not(X0))))) ),
inference(paramodulation,[status(thm)],[f486,f2432]) ).
fof(f12047,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,not(implies(X0,not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f486,f12044]) ).
fof(f12049,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,not(implies(X0,not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f486,f12045]) ).
fof(f12088,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f683]) ).
fof(f12150,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,not(implies(X1,X1))),implies(X0,X2))) ),
inference(resolution,[status(thm)],[f10571,f618]) ).
fof(f12199,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f706]) ).
fof(f12305,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(and(X1,X2),X3)))) ),
inference(paramodulation,[status(thm)],[f530,f10432]) ).
fof(f12308,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ81_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(and(not(X1),X1),X2))) ),
inference(resolution,[status(thm)],[f10572,f635]) ).
fof(f12310,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ81_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,and(not(X1),X1)),implies(X0,X2))) ),
inference(resolution,[status(thm)],[f10572,f618]) ).
fof(f12312,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,and(not(X1),X1)),or(X0,X2))) ),
inference(resolution,[status(thm)],[f10572,f568]) ).
fof(f12313,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(X1)
| ~ is_a_theorem(and(not(X0),X0)) ),
inference(resolution,[status(thm)],[f10572,f176]) ).
fof(f12314,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(not(not(implies(and(not(X0),X0),X1)))) ),
inference(resolution,[status(thm)],[f10572,f2548]) ).
fof(f12315,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(implies(and(not(X0),X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f10572,f10433]) ).
fof(f12316,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(and(not(X0),X0),X1),implies(and(not(X0),X0),X1))) ),
inference(resolution,[status(thm)],[f10572,f696]) ).
fof(f12317,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(and(not(X1),X1),X2))) ),
inference(resolution,[status(thm)],[f10572,f591]) ).
fof(f12319,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| is_a_theorem(or(implies(and(not(X0),X0),X1),X2)) ),
inference(resolution,[status(thm)],[f10572,f10418]) ).
fof(f12322,definition,
! [X0] :
( sQ108_spl
<=> ~ is_a_theorem(and(not(X0),X0)) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f12323,plain,
! [X0] :
( ~ sQ108_spl
| ~ is_a_theorem(and(not(X0),X0)) ),
inference(component_clause,[status(thm)],[f12322]) ).
fof(f12325,plain,
( ~ sQ1_spl
| ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| sQ106_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f12313,f12322,f10836,f286,f431,f442,f297,f412,f485,f471,f175]) ).
fof(f12328,plain,
( sQ63_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f11005]) ).
fof(f12342,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,X1),or(X0,or(and(X2,X3),X1)))) ),
inference(paramodulation,[status(thm)],[f566,f614]) ).
fof(f12376,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ76_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,X1)))) ),
inference(paramodulation,[status(thm)],[f486,f615]) ).
fof(f12381,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(or(and(X0,X0),not(X0)),not(X1))) ),
inference(resolution,[status(thm)],[f670,f668]) ).
fof(f12382,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(or(X0,X1),or(X0,or(and(X2,X2),not(X2))))) ),
inference(resolution,[status(thm)],[f670,f568]) ).
fof(f12390,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| is_a_theorem(or(and(X0,X1),or(and(X2,X2),not(X2)))) ),
inference(paramodulation,[status(thm)],[f566,f670]) ).
fof(f12391,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,or(equiv(X1,X1),not(implies(X1,X1))))) ),
inference(paramodulation,[status(thm)],[f493,f670]) ).
fof(f12405,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ73_spl
| is_a_theorem(or(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2))),not(X3))) ),
inference(resolution,[status(thm)],[f658,f668]) ).
fof(f12406,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(X2,implies(X3,X4)),implies(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f658,f568]) ).
fof(f12414,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| is_a_theorem(or(and(X0,X1),implies(or(X2,implies(X3,X4)),implies(X3,or(X2,X4))))) ),
inference(paramodulation,[status(thm)],[f566,f658]) ).
fof(f12425,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(or(X0,not(X1)),implies(X1,X0)),not(X2))) ),
inference(resolution,[status(thm)],[f708,f668]) ).
fof(f12426,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(X2,not(X3)),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f708,f568]) ).
fof(f12434,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(or(and(X0,X1),implies(or(X2,not(X3)),implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f566,f708]) ).
fof(f12435,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(X1,not(X2)),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f708]) ).
fof(f12442,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(and(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f10573,f635]) ).
fof(f12444,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,and(X1,not(X1))),implies(X0,X2))) ),
inference(resolution,[status(thm)],[f10573,f618]) ).
fof(f12446,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,and(X1,not(X1))),or(X0,X2))) ),
inference(resolution,[status(thm)],[f10573,f568]) ).
fof(f12447,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(X1)
| ~ is_a_theorem(and(X0,not(X0))) ),
inference(resolution,[status(thm)],[f10573,f176]) ).
fof(f12448,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(not(not(implies(and(X0,not(X0)),X1)))) ),
inference(resolution,[status(thm)],[f10573,f2548]) ).
fof(f12449,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(implies(and(X0,not(X0)),X1)),X2)) ),
inference(resolution,[status(thm)],[f10573,f10433]) ).
fof(f12450,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(and(implies(and(X0,not(X0)),X1),implies(and(X0,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f10573,f696]) ).
fof(f12451,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(and(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f10573,f591]) ).
fof(f12453,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| is_a_theorem(or(implies(and(X0,not(X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f10573,f10418]) ).
fof(f12454,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(implies(X0,not(X1)),and(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f530,f10573]) ).
fof(f12455,definition,
! [X0] :
( sQ109_spl
<=> ~ is_a_theorem(and(X0,not(X0))) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f12456,plain,
! [X0] :
( ~ sQ109_spl
| ~ is_a_theorem(and(X0,not(X0))) ),
inference(component_clause,[status(thm)],[f12455]) ).
fof(f12458,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ81_spl
| ~ sQ31_spl
| sQ106_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f12447,f12455,f10836,f286,f471,f431,f442,f297,f412,f485,f175]) ).
fof(f12459,plain,
( sQ55_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f11006]) ).
fof(f12461,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))),not(X3))) ),
inference(resolution,[status(thm)],[f648,f668]) ).
fof(f12462,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(X2,or(X3,X4)),or(X3,or(X2,X4)))))) ),
inference(resolution,[status(thm)],[f648,f568]) ).
fof(f12470,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(or(X2,or(X3,X4)),or(X3,or(X2,X4))))) ),
inference(paramodulation,[status(thm)],[f566,f648]) ).
fof(f12481,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(or(X0,X1),or(X1,X0)),not(X2))) ),
inference(resolution,[status(thm)],[f649,f668]) ).
fof(f12482,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(X2,X3),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f649,f568]) ).
fof(f12490,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(or(X2,X3),or(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f566,f649]) ).
fof(f12495,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(or(X0,X0),X0),not(X1))) ),
inference(resolution,[status(thm)],[f650,f668]) ).
fof(f12496,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(or(X2,X2),X2)))) ),
inference(resolution,[status(thm)],[f650,f568]) ).
fof(f12504,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(or(X2,X2),X2))) ),
inference(paramodulation,[status(thm)],[f566,f650]) ).
fof(f12505,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(X1,not(X1)),not(X1)))) ),
inference(paramodulation,[status(thm)],[f486,f650]) ).
fof(f12511,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2))),not(X3))) ),
inference(resolution,[status(thm)],[f651,f668]) ).
fof(f12512,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(implies(X2,or(X3,X4)),or(X3,implies(X2,X4)))))) ),
inference(resolution,[status(thm)],[f651,f568]) ).
fof(f12520,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(implies(X2,or(X3,X4)),or(X3,implies(X2,X4))))) ),
inference(paramodulation,[status(thm)],[f566,f651]) ).
fof(f12531,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))),not(X3))) ),
inference(resolution,[status(thm)],[f652,f668]) ).
fof(f12532,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(implies(X2,X3),implies(implies(X4,X2),implies(X4,X3)))))) ),
inference(resolution,[status(thm)],[f652,f568]) ).
fof(f12540,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(implies(X2,X3),implies(implies(X4,X2),implies(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f566,f652]) ).
fof(f12554,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))),not(X3))) ),
inference(resolution,[status(thm)],[f653,f668]) ).
fof(f12555,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(implies(X2,X3),implies(or(X4,X2),or(X4,X3)))))) ),
inference(resolution,[status(thm)],[f653,f568]) ).
fof(f12563,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,X1),implies(implies(X2,X3),implies(or(X4,X2),or(X4,X3))))) ),
inference(paramodulation,[status(thm)],[f566,f653]) ).
fof(f12572,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(implies(X0,X1),or(X1,not(X0))),not(X2))) ),
inference(resolution,[status(thm)],[f685,f668]) ).
fof(f12573,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(implies(X2,X3),or(X3,not(X2)))))) ),
inference(resolution,[status(thm)],[f685,f568]) ).
fof(f12581,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(or(and(X0,X1),implies(implies(X2,X3),or(X3,not(X2))))) ),
inference(paramodulation,[status(thm)],[f566,f685]) ).
fof(f12584,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| is_a_theorem(implies(X0,implies(implies(X1,not(X2)),implies(X2,not(X1))))) ),
inference(paramodulation,[status(thm)],[f486,f685]) ).
fof(f12591,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ109_spl
| ~ is_a_theorem(and(implies(X0,not(X1)),and(X0,X1))) ),
inference(paramodulation,[status(thm)],[f530,f12456]) ).
fof(f12593,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(X0,implies(not(X0),X1)),not(X2))) ),
inference(resolution,[status(thm)],[f10436,f668]) ).
fof(f12594,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,implies(not(X2),X3))))) ),
inference(resolution,[status(thm)],[f10436,f568]) ).
fof(f12602,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(or(and(X0,X1),implies(X2,implies(not(X2),X3)))) ),
inference(paramodulation,[status(thm)],[f566,f10436]) ).
fof(f12603,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(and(X1,X2),implies(not(implies(X1,not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f566,f10436]) ).
fof(f12604,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(implies(X1,not(X2)),implies(and(X1,X2),X3)))) ),
inference(paramodulation,[status(thm)],[f530,f10436]) ).
fof(f12606,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(and(X1,X2),implies(and(X1,X2),X3)))) ),
inference(forward_demodulation,[status(thm)],[f530,f12603]) ).
fof(f12607,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,or(and(X1,X2),implies(and(X1,X2),X3)))) ),
inference(forward_demodulation,[status(thm)],[f566,f12604]) ).
fof(f12609,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ13_spl
| is_a_theorem(or(implies(X0,implies(X1,X0)),not(X2))) ),
inference(resolution,[status(thm)],[f654,f668]) ).
fof(f12610,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f654,f568]) ).
fof(f12618,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(or(and(X0,X1),implies(X2,implies(X3,X2)))) ),
inference(paramodulation,[status(thm)],[f566,f654]) ).
fof(f12620,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,or(and(X2,X3),X1)))) ),
inference(paramodulation,[status(thm)],[f566,f654]) ).
fof(f12630,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,X1),or(X0,implies(X2,or(X2,X3))))) ),
inference(resolution,[status(thm)],[f10421,f568]) ).
fof(f12638,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(or(and(X0,X1),implies(X2,or(X2,X3)))) ),
inference(paramodulation,[status(thm)],[f566,f10421]) ).
fof(f12662,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(not(X1),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f10594,f707]) ).
fof(f12663,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(not(X1),implies(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f10594,f636]) ).
fof(f12664,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ31_spl
| ~ sQ85_spl
| is_a_theorem(or(X0,or(implies(not(X1),implies(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f10594,f573]) ).
fof(f12665,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| ~ sQ85_spl
| is_a_theorem(or(X0,implies(not(X1),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f10594,f582]) ).
fof(f12667,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(not(not(or(implies(not(X0),implies(X0,X1)),X2)))) ),
inference(resolution,[status(thm)],[f10594,f2548]) ).
fof(f12668,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ31_spl
| ~ sQ85_spl
| is_a_theorem(implies(not(or(implies(not(X0),implies(X0,X1)),X2)),X3)) ),
inference(resolution,[status(thm)],[f10594,f10433]) ).
fof(f12669,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(and(or(implies(not(X0),implies(X0,X1)),X2),or(implies(not(X0),implies(X0,X1)),X2))) ),
inference(resolution,[status(thm)],[f10594,f696]) ).
fof(f12670,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ85_spl
| is_a_theorem(implies(X0,or(implies(not(X1),implies(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f10594,f591]) ).
fof(f12671,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ85_spl
| is_a_theorem(or(X0,or(implies(not(X1),implies(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f10594,f588]) ).
fof(f12672,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| is_a_theorem(or(or(implies(not(X0),implies(X0,X1)),X2),X3)) ),
inference(resolution,[status(thm)],[f10594,f10418]) ).
fof(f12677,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f10548,f707]) ).
fof(f12678,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f10548,f636]) ).
fof(f12679,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f10548,f573]) ).
fof(f12680,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f10548,f582]) ).
fof(f12682,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(not(not(or(implies(X0,or(X0,X1)),X2)))) ),
inference(resolution,[status(thm)],[f10548,f2548]) ).
fof(f12683,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(or(implies(X0,or(X0,X1)),X2)),X3)) ),
inference(resolution,[status(thm)],[f10548,f10433]) ).
fof(f12684,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ31_spl
| is_a_theorem(and(or(implies(X0,or(X0,X1)),X2),or(implies(X0,or(X0,X1)),X2))) ),
inference(resolution,[status(thm)],[f10548,f696]) ).
fof(f12685,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f10548,f591]) ).
fof(f12686,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(X1,or(X1,X2)),X3))) ),
inference(resolution,[status(thm)],[f10548,f588]) ).
fof(f12687,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(implies(X0,or(X0,X1)),X2),X3)) ),
inference(resolution,[status(thm)],[f10548,f10418]) ).
fof(f12688,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(or(and(X0,X1),or(implies(X0,not(X1)),X2)),X3)) ),
inference(paramodulation,[status(thm)],[f566,f10548]) ).
fof(f12690,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(or(X1,X1),X1))) ),
inference(resolution,[status(thm)],[f826,f707]) ).
fof(f12691,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(implies(or(X1,X1),X1),X2))) ),
inference(resolution,[status(thm)],[f826,f636]) ).
fof(f12699,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ65_spl
| is_a_theorem(or(X0,or(implies(or(X1,X1),X1),X2))) ),
inference(resolution,[status(thm)],[f826,f588]) ).
fof(f12701,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ34_spl
| is_a_theorem(or(implies(implies(X0,not(X0)),not(X0)),X1)) ),
inference(paramodulation,[status(thm)],[f486,f826]) ).
fof(f12703,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f10550,f707]) ).
fof(f12704,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ59_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(X1,implies(not(X1),X2)),X3))) ),
inference(resolution,[status(thm)],[f10550,f636]) ).
fof(f12705,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ59_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(X1,implies(not(X1),X2)),X3))) ),
inference(resolution,[status(thm)],[f10550,f573]) ).
fof(f12706,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ59_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,implies(X1,implies(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f10550,f582]) ).
fof(f12708,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| ~ sQ31_spl
| is_a_theorem(not(not(or(implies(X0,implies(not(X0),X1)),X2)))) ),
inference(resolution,[status(thm)],[f10550,f2548]) ).
fof(f12709,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(or(implies(X0,implies(not(X0),X1)),X2)),X3)) ),
inference(resolution,[status(thm)],[f10550,f10433]) ).
fof(f12710,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ59_spl
| ~ sQ31_spl
| is_a_theorem(and(or(implies(X0,implies(not(X0),X1)),X2),or(implies(X0,implies(not(X0),X1)),X2))) ),
inference(resolution,[status(thm)],[f10550,f696]) ).
fof(f12711,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(X1,implies(not(X1),X2)),X3))) ),
inference(resolution,[status(thm)],[f10550,f591]) ).
fof(f12712,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(X1,implies(not(X1),X2)),X3))) ),
inference(resolution,[status(thm)],[f10550,f588]) ).
fof(f12713,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ59_spl
| is_a_theorem(or(or(implies(X0,implies(not(X0),X1)),X2),X3)) ),
inference(resolution,[status(thm)],[f10550,f10418]) ).
fof(f12714,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(and(X0,X1),implies(not(implies(X0,not(X1))),X2)),X3)) ),
inference(paramodulation,[status(thm)],[f566,f10550]) ).
fof(f12715,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(X0,not(X1)),implies(and(X0,X1),X2)),X3)) ),
inference(paramodulation,[status(thm)],[f530,f10550]) ).
fof(f12716,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(and(X0,X1),implies(and(X0,X1),X2)),X3)) ),
inference(forward_demodulation,[status(thm)],[f530,f12714]) ).
fof(f12717,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(or(and(X0,X1),implies(and(X0,X1),X2)),X3)) ),
inference(forward_demodulation,[status(thm)],[f566,f12715]) ).
fof(f12718,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(X2),implies(X2,X3)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f10596,f605]) ).
fof(f12719,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(or(X0,implies(X1,not(X2))),or(X0,implies(not(X3),implies(X3,X4))))) ),
inference(resolution,[status(thm)],[f10596,f616]) ).
fof(f12720,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(X0),or(X1,implies(X0,X2)))) ),
inference(resolution,[status(thm)],[f10596,f636]) ).
fof(f12723,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| is_a_theorem(not(not(or(X0,implies(not(X1),implies(X1,X2)))))) ),
inference(resolution,[status(thm)],[f10596,f2548]) ).
fof(f12724,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(or(X0,implies(not(X1),implies(X1,X2)))),X3)) ),
inference(resolution,[status(thm)],[f10596,f10433]) ).
fof(f12725,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(and(or(X0,implies(not(X1),implies(X1,X2))),or(X0,implies(not(X1),implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f10596,f696]) ).
fof(f12726,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,implies(not(X2),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f10596,f591]) ).
fof(f12727,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,implies(not(X2),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f10596,f588]) ).
fof(f12728,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ85_spl
| is_a_theorem(or(or(X0,implies(not(X1),implies(X1,X2))),X3)) ),
inference(resolution,[status(thm)],[f10596,f10418]) ).
fof(f12729,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,implies(not(X1),implies(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f486,f10596]) ).
fof(f12732,definition,
! [X2,X3] :
( sQ110_spl
<=> is_a_theorem(implies(not(X2),implies(X2,X3))) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f12733,plain,
! [X0,X1] :
( ~ sQ110_spl
| is_a_theorem(implies(not(X0),implies(X0,X1))) ),
inference(component_clause,[status(thm)],[f12732]) ).
fof(f12735,plain,
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| sQ110_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f12718,f1005,f12732,f286,f297,f175,f485,f471]) ).
fof(f12738,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f1241,f707]) ).
fof(f12746,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(implies(X0,or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f1241,f591]) ).
fof(f12747,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(X0,or(implies(X1,and(X1,X1)),X2))) ),
inference(resolution,[status(thm)],[f1241,f588]) ).
fof(f12749,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(and(X0,X1),and(implies(X0,not(X1)),implies(X0,not(X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f566,f1241]) ).
fof(f12750,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| is_a_theorem(or(implies(implies(X0,X0),equiv(X0,X0)),X1)) ),
inference(paramodulation,[status(thm)],[f493,f1241]) ).
fof(f12751,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(implies(implies(X0,not(X1)),not(implies(implies(X0,not(X1)),and(X0,X1)))),X2)) ),
inference(paramodulation,[status(thm)],[f565,f1241]) ).
fof(f12752,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(and(X0,X1),not(implies(implies(X0,not(X1)),and(X0,X1)))),X2)) ),
inference(forward_demodulation,[status(thm)],[f565,f12749]) ).
fof(f12753,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(and(X0,X1),not(or(and(X0,X1),and(X0,X1)))),X2)) ),
inference(forward_demodulation,[status(thm)],[f566,f12752]) ).
fof(f12754,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(and(X0,X1),not(implies(implies(X0,not(X1)),and(X0,X1)))),X2)) ),
inference(forward_demodulation,[status(thm)],[f566,f12751]) ).
fof(f12755,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ65_spl
| is_a_theorem(or(or(and(X0,X1),not(or(and(X0,X1),and(X0,X1)))),X2)) ),
inference(forward_demodulation,[status(thm)],[f566,f12754]) ).
fof(f12756,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),X4))) ),
inference(resolution,[status(thm)],[f10694,f635]) ).
fof(f12757,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))) ),
inference(resolution,[status(thm)],[f10694,f609]) ).
fof(f12758,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,not(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))),implies(X0,X4))) ),
inference(resolution,[status(thm)],[f10694,f618]) ).
fof(f12759,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,not(not(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))))) ),
inference(resolution,[status(thm)],[f10694,f668]) ).
fof(f12760,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,not(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))),or(X0,X4))) ),
inference(resolution,[status(thm)],[f10694,f568]) ).
fof(f12761,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(X3)
| ~ is_a_theorem(not(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))) ),
inference(resolution,[status(thm)],[f10694,f176]) ).
fof(f12762,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(not(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),X3)))) ),
inference(resolution,[status(thm)],[f10694,f2548]) ).
fof(f12763,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ73_spl
| is_a_theorem(implies(not(implies(not(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),X3)),X4)) ),
inference(resolution,[status(thm)],[f10694,f10433]) ).
fof(f12764,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(and(implies(not(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),X3),implies(not(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),X3))) ),
inference(resolution,[status(thm)],[f10694,f696]) ).
fof(f12765,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),X4))) ),
inference(resolution,[status(thm)],[f10694,f591]) ).
fof(f12766,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),X4))) ),
inference(resolution,[status(thm)],[f10694,f588]) ).
fof(f12767,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(not(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),X3),X4)) ),
inference(resolution,[status(thm)],[f10694,f10418]) ).
fof(f12768,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),X3)) ),
inference(paramodulation,[status(thm)],[f486,f10694]) ).
fof(f12771,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(or(not(X0),or(X1,X2)),or(X1,implies(X0,X2)))),X3)) ),
inference(paramodulation,[status(thm)],[f486,f10694]) ).
fof(f12772,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ59_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),implies(X0,X4))) ),
inference(forward_demodulation,[status(thm)],[f566,f12758]) ).
fof(f12773,definition,
! [X0,X1,X2] :
( sQ111_spl
<=> ~ is_a_theorem(not(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f12774,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| ~ is_a_theorem(not(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))) ),
inference(component_clause,[status(thm)],[f12773]) ).
fof(f12776,plain,
( ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ59_spl
| sQ106_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f12761,f12773,f10836,f390,f442,f175]) ).
fof(f12777,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),X3)) ),
inference(forward_demodulation,[status(thm)],[f486,f12768]) ).
fof(f12780,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),X3)) ),
inference(forward_demodulation,[status(thm)],[f486,f12771]) ).
fof(f12781,plain,
( sQ47_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f11007]) ).
fof(f12782,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(or(X1,not(X2)),implies(X2,X1))),X3))) ),
inference(resolution,[status(thm)],[f10689,f635]) ).
fof(f12783,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(or(X0,not(X1)),implies(X1,X0))))) ),
inference(resolution,[status(thm)],[f10689,f609]) ).
fof(f12784,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,not(implies(or(X1,not(X2)),implies(X2,X1)))),implies(X0,X3))) ),
inference(resolution,[status(thm)],[f10689,f618]) ).
fof(f12785,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,not(not(implies(or(X1,not(X2)),implies(X2,X1)))))) ),
inference(resolution,[status(thm)],[f10689,f668]) ).
fof(f12786,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,not(implies(or(X1,not(X2)),implies(X2,X1)))),or(X0,X3))) ),
inference(resolution,[status(thm)],[f10689,f568]) ).
fof(f12787,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(or(X0,not(X1)),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f10689,f176]) ).
fof(f12788,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(not(implies(or(X0,not(X1)),implies(X1,X0))),X2)))) ),
inference(resolution,[status(thm)],[f10689,f2548]) ).
fof(f12789,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(not(implies(not(implies(or(X0,not(X1)),implies(X1,X0))),X2)),X3)) ),
inference(resolution,[status(thm)],[f10689,f10433]) ).
fof(f12790,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ59_spl
| is_a_theorem(and(implies(not(implies(or(X0,not(X1)),implies(X1,X0))),X2),implies(not(implies(or(X0,not(X1)),implies(X1,X0))),X2))) ),
inference(resolution,[status(thm)],[f10689,f696]) ).
fof(f12791,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(implies(or(X1,not(X2)),implies(X2,X1))),X3))) ),
inference(resolution,[status(thm)],[f10689,f591]) ).
fof(f12792,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(or(X1,not(X2)),implies(X2,X1))),X3))) ),
inference(resolution,[status(thm)],[f10689,f588]) ).
fof(f12793,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(not(implies(or(X0,not(X1)),implies(X1,X0))),X2),X3)) ),
inference(resolution,[status(thm)],[f10689,f10418]) ).
fof(f12794,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(implies(X0,not(X1)),implies(X1,not(X0)))),X2)) ),
inference(paramodulation,[status(thm)],[f486,f10689]) ).
fof(f12797,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ59_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,implies(or(X1,not(X2)),implies(X2,X1))),implies(X0,X3))) ),
inference(forward_demodulation,[status(thm)],[f566,f12784]) ).
fof(f12798,definition,
! [X0,X1] :
( sQ112_spl
<=> ~ is_a_theorem(not(implies(or(X0,not(X1)),implies(X1,X0)))) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f12799,plain,
! [X0,X1] :
( ~ sQ112_spl
| ~ is_a_theorem(not(implies(or(X0,not(X1)),implies(X1,X0)))) ),
inference(component_clause,[status(thm)],[f12798]) ).
fof(f12801,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| sQ106_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f12787,f12798,f10836,f390,f431,f485,f175]) ).
fof(f12805,plain,
( sQ38_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f11008]) ).
fof(f12806,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3)))),X4))) ),
inference(resolution,[status(thm)],[f10688,f635]) ).
fof(f12807,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))))) ),
inference(resolution,[status(thm)],[f10688,f609]) ).
fof(f12808,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,not(implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3))))),implies(X0,X4))) ),
inference(resolution,[status(thm)],[f10688,f618]) ).
fof(f12809,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,not(not(implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3))))))) ),
inference(resolution,[status(thm)],[f10688,f668]) ).
fof(f12810,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,not(implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3))))),or(X0,X4))) ),
inference(resolution,[status(thm)],[f10688,f568]) ).
fof(f12811,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(X3)
| ~ is_a_theorem(not(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2))))) ),
inference(resolution,[status(thm)],[f10688,f176]) ).
fof(f12812,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(not(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),X3)))) ),
inference(resolution,[status(thm)],[f10688,f2548]) ).
fof(f12813,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ85_spl
| ~ sQ73_spl
| is_a_theorem(implies(not(implies(not(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),X3)),X4)) ),
inference(resolution,[status(thm)],[f10688,f10433]) ).
fof(f12814,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(and(implies(not(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),X3),implies(not(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),X3))) ),
inference(resolution,[status(thm)],[f10688,f696]) ).
fof(f12815,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3)))),X4))) ),
inference(resolution,[status(thm)],[f10688,f591]) ).
fof(f12817,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(not(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),X3),X4)) ),
inference(resolution,[status(thm)],[f10688,f10418]) ).
fof(f12822,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ73_spl
| ~ sQ59_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,implies(or(X1,implies(X2,X3)),implies(X2,or(X1,X3)))),implies(X0,X4))) ),
inference(forward_demodulation,[status(thm)],[f566,f12808]) ).
fof(f12823,definition,
! [X0,X1,X2] :
( sQ113_spl
<=> ~ is_a_theorem(not(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2))))) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f12824,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| ~ is_a_theorem(not(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2))))) ),
inference(component_clause,[status(thm)],[f12823]) ).
fof(f12826,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ sQ59_spl
| sQ106_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f12811,f12823,f10836,f390,f442,f485,f175]) ).
fof(f12831,plain,
( sQ17_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f11009]) ).
fof(f12832,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(or(X1,X2),or(X2,X1))),X3))) ),
inference(resolution,[status(thm)],[f10699,f635]) ).
fof(f12833,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(or(X0,X1),or(X1,X0))))) ),
inference(resolution,[status(thm)],[f10699,f609]) ).
fof(f12834,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,not(implies(or(X1,X2),or(X2,X1)))),implies(X0,X3))) ),
inference(resolution,[status(thm)],[f10699,f618]) ).
fof(f12835,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,not(not(implies(or(X1,X2),or(X2,X1)))))) ),
inference(resolution,[status(thm)],[f10699,f668]) ).
fof(f12836,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,not(implies(or(X1,X2),or(X2,X1)))),or(X0,X3))) ),
inference(resolution,[status(thm)],[f10699,f568]) ).
fof(f12837,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(or(X0,X1),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f10699,f176]) ).
fof(f12838,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(not(implies(or(X0,X1),or(X1,X0))),X2)))) ),
inference(resolution,[status(thm)],[f10699,f2548]) ).
fof(f12839,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ70_spl
| is_a_theorem(implies(not(implies(not(implies(or(X0,X1),or(X1,X0))),X2)),X3)) ),
inference(resolution,[status(thm)],[f10699,f10433]) ).
fof(f12840,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ59_spl
| is_a_theorem(and(implies(not(implies(or(X0,X1),or(X1,X0))),X2),implies(not(implies(or(X0,X1),or(X1,X0))),X2))) ),
inference(resolution,[status(thm)],[f10699,f696]) ).
fof(f12841,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(implies(or(X1,X2),or(X2,X1))),X3))) ),
inference(resolution,[status(thm)],[f10699,f591]) ).
fof(f12842,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(or(X1,X2),or(X2,X1))),X3))) ),
inference(resolution,[status(thm)],[f10699,f588]) ).
fof(f12843,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(not(implies(or(X0,X1),or(X1,X0))),X2),X3)) ),
inference(resolution,[status(thm)],[f10699,f10418]) ).
fof(f12846,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ59_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,implies(or(X1,X2),or(X2,X1))),implies(X0,X3))) ),
inference(forward_demodulation,[status(thm)],[f566,f12834]) ).
fof(f12847,definition,
! [X0,X1] :
( sQ114_spl
<=> ~ is_a_theorem(not(implies(or(X0,X1),or(X1,X0)))) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f12848,plain,
! [X0,X1] :
( ~ sQ114_spl
| ~ is_a_theorem(not(implies(or(X0,X1),or(X1,X0)))) ),
inference(component_clause,[status(thm)],[f12847]) ).
fof(f12850,plain,
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ59_spl
| sQ106_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f12837,f12847,f10836,f390,f431,f175]) ).
fof(f12851,plain,
( sQ20_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f11010]) ).
fof(f12852,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(or(X1,X1),X1)),X2))) ),
inference(resolution,[status(thm)],[f10700,f635]) ).
fof(f12853,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(or(X0,X0),X0)))) ),
inference(resolution,[status(thm)],[f10700,f609]) ).
fof(f12854,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,not(implies(or(X1,X1),X1))),implies(X0,X2))) ),
inference(resolution,[status(thm)],[f10700,f618]) ).
fof(f12855,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ65_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,not(not(implies(or(X1,X1),X1))))) ),
inference(resolution,[status(thm)],[f10700,f668]) ).
fof(f12856,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,not(implies(or(X1,X1),X1))),or(X0,X2))) ),
inference(resolution,[status(thm)],[f10700,f568]) ).
fof(f12857,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ59_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(or(X0,X0),X0))) ),
inference(resolution,[status(thm)],[f10700,f176]) ).
fof(f12858,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(not(implies(or(X0,X0),X0)),X1)))) ),
inference(resolution,[status(thm)],[f10700,f2548]) ).
fof(f12859,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ65_spl
| is_a_theorem(implies(not(implies(not(implies(or(X0,X0),X0)),X1)),X2)) ),
inference(resolution,[status(thm)],[f10700,f10433]) ).
fof(f12860,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ59_spl
| is_a_theorem(and(implies(not(implies(or(X0,X0),X0)),X1),implies(not(implies(or(X0,X0),X0)),X1))) ),
inference(resolution,[status(thm)],[f10700,f696]) ).
fof(f12861,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ65_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(implies(or(X1,X1),X1)),X2))) ),
inference(resolution,[status(thm)],[f10700,f591]) ).
fof(f12862,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(or(X1,X1),X1)),X2))) ),
inference(resolution,[status(thm)],[f10700,f588]) ).
fof(f12863,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ65_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(not(implies(or(X0,X0),X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f10700,f10418]) ).
fof(f12865,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(implies(X0,not(X0)),not(X0))),X1)) ),
inference(paramodulation,[status(thm)],[f486,f10700]) ).
fof(f12866,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ65_spl
| ~ sQ59_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,implies(or(X1,X1),X1)),implies(X0,X2))) ),
inference(forward_demodulation,[status(thm)],[f566,f12854]) ).
fof(f12867,definition,
! [X0] :
( sQ115_spl
<=> ~ is_a_theorem(not(implies(or(X0,X0),X0))) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f12868,plain,
! [X0] :
( ~ sQ115_spl
| ~ is_a_theorem(not(implies(or(X0,X0),X0))) ),
inference(component_clause,[status(thm)],[f12867]) ).
fof(f12870,plain,
( ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ59_spl
| sQ106_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f12857,f12867,f10836,f390,f412,f175]) ).
fof(f12873,plain,
( sQ44_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f11012]) ).
fof(f12874,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),X4))) ),
inference(resolution,[status(thm)],[f10681,f635]) ).
fof(f12875,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))) ),
inference(resolution,[status(thm)],[f10681,f609]) ).
fof(f12876,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,not(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))),implies(X0,X4))) ),
inference(resolution,[status(thm)],[f10681,f618]) ).
fof(f12877,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,not(not(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))))) ),
inference(resolution,[status(thm)],[f10681,f668]) ).
fof(f12878,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,not(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))),or(X0,X4))) ),
inference(resolution,[status(thm)],[f10681,f568]) ).
fof(f12879,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(X3)
| ~ is_a_theorem(not(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))) ),
inference(resolution,[status(thm)],[f10681,f176]) ).
fof(f12880,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(not(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),X3)))) ),
inference(resolution,[status(thm)],[f10681,f2548]) ).
fof(f12881,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ76_spl
| is_a_theorem(implies(not(implies(not(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),X3)),X4)) ),
inference(resolution,[status(thm)],[f10681,f10433]) ).
fof(f12882,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(and(implies(not(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),X3),implies(not(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),X3))) ),
inference(resolution,[status(thm)],[f10681,f696]) ).
fof(f12883,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),X4))) ),
inference(resolution,[status(thm)],[f10681,f591]) ).
fof(f12884,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),X4))) ),
inference(resolution,[status(thm)],[f10681,f588]) ).
fof(f12885,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(not(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),X3),X4)) ),
inference(resolution,[status(thm)],[f10681,f10418]) ).
fof(f12890,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ59_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),implies(X0,X4))) ),
inference(forward_demodulation,[status(thm)],[f566,f12876]) ).
fof(f12891,definition,
! [X0,X1,X2] :
( sQ116_spl
<=> ~ is_a_theorem(not(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f12892,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| ~ is_a_theorem(not(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))) ),
inference(component_clause,[status(thm)],[f12891]) ).
fof(f12894,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| sQ106_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f12879,f12891,f10836,f390,f453,f175]) ).
fof(f12897,plain,
( sQ41_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f11013]) ).
fof(f12898,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),X4))) ),
inference(resolution,[status(thm)],[f10680,f635]) ).
fof(f12899,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))) ),
inference(resolution,[status(thm)],[f10680,f609]) ).
fof(f12900,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,not(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))),implies(X0,X4))) ),
inference(resolution,[status(thm)],[f10680,f618]) ).
fof(f12901,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,not(not(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))))) ),
inference(resolution,[status(thm)],[f10680,f668]) ).
fof(f12902,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,not(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))),or(X0,X4))) ),
inference(resolution,[status(thm)],[f10680,f568]) ).
fof(f12903,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(X3)
| ~ is_a_theorem(not(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f10680,f176]) ).
fof(f12904,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(not(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),X3)))) ),
inference(resolution,[status(thm)],[f10680,f2548]) ).
fof(f12905,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ85_spl
| ~ sQ76_spl
| is_a_theorem(implies(not(implies(not(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),X3)),X4)) ),
inference(resolution,[status(thm)],[f10680,f10433]) ).
fof(f12906,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(and(implies(not(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),X3),implies(not(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),X3))) ),
inference(resolution,[status(thm)],[f10680,f696]) ).
fof(f12907,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),X4))) ),
inference(resolution,[status(thm)],[f10680,f591]) ).
fof(f12908,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),X4))) ),
inference(resolution,[status(thm)],[f10680,f588]) ).
fof(f12909,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(not(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),X3),X4)) ),
inference(resolution,[status(thm)],[f10680,f10418]) ).
fof(f12915,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ59_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),implies(X0,X4))) ),
inference(forward_demodulation,[status(thm)],[f566,f12900]) ).
fof(f12916,definition,
! [X0,X1,X2] :
( sQ117_spl
<=> ~ is_a_theorem(not(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f12917,plain,
! [X0,X1,X2] :
( ~ sQ117_spl
| ~ is_a_theorem(not(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))) ),
inference(component_clause,[status(thm)],[f12916]) ).
fof(f12919,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ59_spl
| sQ106_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f12903,f12916,f10836,f390,f453,f485,f175]) ).
fof(f12922,plain,
( sQ29_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f11014]) ).
fof(f12923,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(implies(X1,X2),or(X2,not(X1)))),X3))) ),
inference(resolution,[status(thm)],[f10679,f635]) ).
fof(f12924,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(implies(X0,X1),or(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f10679,f609]) ).
fof(f12925,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,not(implies(implies(X1,X2),or(X2,not(X1))))),implies(X0,X3))) ),
inference(resolution,[status(thm)],[f10679,f618]) ).
fof(f12926,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,not(not(implies(implies(X1,X2),or(X2,not(X1))))))) ),
inference(resolution,[status(thm)],[f10679,f668]) ).
fof(f12927,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,not(implies(implies(X1,X2),or(X2,not(X1))))),or(X0,X3))) ),
inference(resolution,[status(thm)],[f10679,f568]) ).
fof(f12928,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(implies(X0,X1),or(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f10679,f176]) ).
fof(f12929,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(not(implies(implies(X0,X1),or(X1,not(X0)))),X2)))) ),
inference(resolution,[status(thm)],[f10679,f2548]) ).
fof(f12930,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ85_spl
| ~ sQ70_spl
| is_a_theorem(implies(not(implies(not(implies(implies(X0,X1),or(X1,not(X0)))),X2)),X3)) ),
inference(resolution,[status(thm)],[f10679,f10433]) ).
fof(f12931,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ59_spl
| is_a_theorem(and(implies(not(implies(implies(X0,X1),or(X1,not(X0)))),X2),implies(not(implies(implies(X0,X1),or(X1,not(X0)))),X2))) ),
inference(resolution,[status(thm)],[f10679,f696]) ).
fof(f12932,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(implies(implies(X1,X2),or(X2,not(X1)))),X3))) ),
inference(resolution,[status(thm)],[f10679,f591]) ).
fof(f12933,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(implies(X1,X2),or(X2,not(X1)))),X3))) ),
inference(resolution,[status(thm)],[f10679,f588]) ).
fof(f12934,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(not(implies(implies(X0,X1),or(X1,not(X0)))),X2),X3)) ),
inference(resolution,[status(thm)],[f10679,f10418]) ).
fof(f12937,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(implies(X0,not(X1)),implies(X1,not(X0)))),X2)) ),
inference(paramodulation,[status(thm)],[f486,f10679]) ).
fof(f12939,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ70_spl
| ~ sQ59_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,implies(implies(X1,X2),or(X2,not(X1)))),implies(X0,X3))) ),
inference(forward_demodulation,[status(thm)],[f566,f12925]) ).
fof(f12940,definition,
! [X0,X1] :
( sQ118_spl
<=> ~ is_a_theorem(not(implies(implies(X0,X1),or(X1,not(X0))))) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f12941,plain,
! [X0,X1] :
( ~ sQ118_spl
| ~ is_a_theorem(not(implies(implies(X0,X1),or(X1,not(X0))))) ),
inference(component_clause,[status(thm)],[f12940]) ).
fof(f12943,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ70_spl
| ~ sQ59_spl
| sQ106_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f12928,f12940,f10836,f390,f431,f485,f175]) ).
fof(f12948,plain,
( sQ26_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f11015]) ).
fof(f12949,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ31_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(not(X1),implies(X1,X2))),X3))) ),
inference(resolution,[status(thm)],[f10675,f635]) ).
fof(f12950,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ31_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(not(X0),implies(X0,X1))))) ),
inference(resolution,[status(thm)],[f10675,f609]) ).
fof(f12951,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ31_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,not(implies(not(X1),implies(X1,X2)))),implies(X0,X3))) ),
inference(resolution,[status(thm)],[f10675,f618]) ).
fof(f12952,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ31_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,not(not(implies(not(X1),implies(X1,X2)))))) ),
inference(resolution,[status(thm)],[f10675,f668]) ).
fof(f12953,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ85_spl
| ~ sQ31_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,not(implies(not(X1),implies(X1,X2)))),or(X0,X3))) ),
inference(resolution,[status(thm)],[f10675,f568]) ).
fof(f12954,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ31_spl
| ~ sQ59_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(not(X0),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f10675,f176]) ).
fof(f12955,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ31_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(not(implies(not(X0),implies(X0,X1))),X2)))) ),
inference(resolution,[status(thm)],[f10675,f2548]) ).
fof(f12956,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| ~ sQ85_spl
| ~ sQ31_spl
| is_a_theorem(implies(not(implies(not(implies(not(X0),implies(X0,X1))),X2)),X3)) ),
inference(resolution,[status(thm)],[f10675,f10433]) ).
fof(f12957,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ31_spl
| ~ sQ59_spl
| is_a_theorem(and(implies(not(implies(not(X0),implies(X0,X1))),X2),implies(not(implies(not(X0),implies(X0,X1))),X2))) ),
inference(resolution,[status(thm)],[f10675,f696]) ).
fof(f12958,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ85_spl
| ~ sQ31_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(implies(not(X1),implies(X1,X2))),X3))) ),
inference(resolution,[status(thm)],[f10675,f591]) ).
fof(f12959,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ85_spl
| ~ sQ31_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(not(X1),implies(X1,X2))),X3))) ),
inference(resolution,[status(thm)],[f10675,f588]) ).
fof(f12960,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ85_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(not(implies(not(X0),implies(X0,X1))),X2),X3)) ),
inference(resolution,[status(thm)],[f10675,f10418]) ).
fof(f12963,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ31_spl
| ~ sQ59_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,implies(not(X1),implies(X1,X2))),implies(X0,X3))) ),
inference(forward_demodulation,[status(thm)],[f566,f12951]) ).
fof(f12964,definition,
! [X0,X1] :
( sQ119_spl
<=> ~ is_a_theorem(not(implies(not(X0),implies(X0,X1)))) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f12965,plain,
! [X0,X1] :
( ~ sQ119_spl
| ~ is_a_theorem(not(implies(not(X0),implies(X0,X1)))) ),
inference(component_clause,[status(thm)],[f12964]) ).
fof(f12967,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ31_spl
| ~ sQ59_spl
| sQ106_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f12954,f12964,f10836,f390,f286,f485,f175]) ).
fof(f12970,plain,
( sQ23_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f11016]) ).
fof(f12971,plain,
! [X0,X1,X2,X3] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ73_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(X1,implies(not(X1),X2))),X3))) ),
inference(resolution,[status(thm)],[f10714,f635]) ).
fof(f12972,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ65_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(X0,implies(not(X0),X1))))) ),
inference(resolution,[status(thm)],[f10714,f609]) ).
fof(f12973,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(implies(X0,not(implies(X1,implies(not(X1),X2)))),implies(X0,X3))) ),
inference(resolution,[status(thm)],[f10714,f618]) ).
fof(f12974,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,not(not(implies(X1,implies(not(X1),X2)))))) ),
inference(resolution,[status(thm)],[f10714,f668]) ).
fof(f12975,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ76_spl
| ~ sQ59_spl
| is_a_theorem(implies(or(X0,not(implies(X1,implies(not(X1),X2)))),or(X0,X3))) ),
inference(resolution,[status(thm)],[f10714,f568]) ).
fof(f12976,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(X0,implies(not(X0),X1)))) ),
inference(resolution,[status(thm)],[f10714,f176]) ).
fof(f12977,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ34_spl
| ~ sQ73_spl
| ~ sQ70_spl
| ~ sQ59_spl
| is_a_theorem(not(not(implies(not(implies(X0,implies(not(X0),X1))),X2)))) ),
inference(resolution,[status(thm)],[f10714,f2548]) ).
fof(f12978,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ59_spl
| is_a_theorem(implies(not(implies(not(implies(X0,implies(not(X0),X1))),X2)),X3)) ),
inference(resolution,[status(thm)],[f10714,f10433]) ).
fof(f12979,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ70_spl
| ~ sQ85_spl
| ~ sQ65_spl
| ~ sQ81_spl
| ~ sQ59_spl
| is_a_theorem(and(implies(not(implies(X0,implies(not(X0),X1))),X2),implies(not(implies(X0,implies(not(X0),X1))),X2))) ),
inference(resolution,[status(thm)],[f10714,f696]) ).
fof(f12980,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(implies(X1,implies(not(X1),X2))),X3))) ),
inference(resolution,[status(thm)],[f10714,f591]) ).
fof(f12981,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ59_spl
| is_a_theorem(or(X0,implies(not(implies(X1,implies(not(X1),X2))),X3))) ),
inference(resolution,[status(thm)],[f10714,f588]) ).
fof(f12982,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ59_spl
| is_a_theorem(or(implies(not(implies(X0,implies(not(X0),X1))),X2),X3)) ),
inference(resolution,[status(thm)],[f10714,f10418]) ).
fof(f12983,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| ~ sQ1_spl
| is_a_theorem(implies(not(or(and(X0,X1),implies(not(implies(X0,not(X1))),X2))),X3)) ),
inference(paramodulation,[status(thm)],[f566,f10714]) ).
fof(f12984,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| ~ sQ1_spl
| is_a_theorem(implies(not(implies(implies(X0,not(X1)),implies(and(X0,X1),X2))),X3)) ),
inference(paramodulation,[status(thm)],[f530,f10714]) ).
fof(f12985,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ76_spl
| ~ sQ59_spl
| ~ sQ81_spl
| is_a_theorem(or(and(X0,implies(X1,implies(not(X1),X2))),implies(X0,X3))) ),
inference(forward_demodulation,[status(thm)],[f566,f12973]) ).
fof(f12986,definition,
! [X0,X1] :
( sQ120_spl
<=> ~ is_a_theorem(not(implies(X0,implies(not(X0),X1)))) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f12989,plain,
( ~ sQ1_spl
| ~ sQ59_spl
| sQ106_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f12976,f12986,f10836,f390,f175]) ).
fof(f12990,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| ~ sQ1_spl
| is_a_theorem(implies(not(or(and(X0,X1),implies(and(X0,X1),X2))),X3)) ),
inference(forward_demodulation,[status(thm)],[f530,f12983]) ).
fof(f12991,plain,
! [X0,X1,X2,X3] :
( ~ sQ81_spl
| ~ sQ85_spl
| ~ sQ59_spl
| ~ sQ1_spl
| is_a_theorem(implies(not(or(and(X0,X1),implies(and(X0,X1),X2))),X3)) ),
inference(forward_demodulation,[status(thm)],[f566,f12984]) ).
fof(f12993,plain,
( ~ sQ11_spl
| ~ sQ81_spl
| ~ sQ85_spl
| is_a_theorem(or(and(not(sK5_skl),sK4_skl),implies(sK4_skl,sK5_skl))) ),
inference(forward_demodulation,[status(thm)],[f566,f214]) ).
fof(f12994,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ81_spl
| ~ sQ85_spl
| is_a_theorem(or(and(not(X0),X1),implies(X1,X0))) ),
inference(forward_demodulation,[status(thm)],[f566,f210]) ).
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
| sQ80_spl
| sQ81_spl
| ~ sQ82_spl
| sQ84_spl
| sQ85_spl
| sQ86_spl
| sQ87_spl
| ~ sQ88_spl
| ~ sQ89_spl
| sQ90_spl
| sQ91_spl
| sQ92_spl
| sQ93_spl
| sQ94_spl
| sQ95_spl
| sQ96_spl
| sQ97_spl
| sQ98_spl
| sQ99_spl
| sQ100_spl
| sQ101_spl
| sQ102_spl
| sQ103_spl
| sQ104_spl
| sQ106_spl
| sQ110_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL909+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.56 % Computer : n020.cluster.edu
% 0.11/5.56 % Model : x86_64 x86_64
% 0.11/5.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.56 % Memory : 8046.5625MB
% 0.11/5.56 % OS : Linux 6.8.0-71-generic
% 0.11/5.56 % CPULimit : 300
% 0.11/5.56 % WCLimit : 300
% 0.11/5.56 % DateTime : Mon Sep 21 01:11:39 UTC 2026
% 0.11/5.56 % CPUTime :
% 0.11/5.57 % Drodi V4.1.1
% 10.59/7.04 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 10.59/7.04 % SZS output start Saturation for theBenchmark
% See solution above
% 1.39/7.15 % Elapsed time: 1.569876 seconds
% 1.39/7.15 % CPU time: 11.735468 seconds
% 1.39/7.15 % Total memory used: 214.659 MB
% 1.39/7.15 % Net memory used: 199.559 MB
%------------------------------------------------------------------------------