%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL907+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:11:20 PM UTC 2026
% Result : Satisfiable 0.20s 0.78s
% Output : Saturation 0.29s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X,Y] :
( ( is_a_theorem(implies(X,Y))
& is_a_theorem(X) )
=> is_a_theorem(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X,Y] :
( is_a_theorem(equiv(X,Y))
=> X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( modus_tollens
<=> ! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( implies_1
<=> ! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( implies_2
<=> ! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( implies_3
<=> ! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( and_1
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( and_2
<=> ! [X,Y] : is_a_theorem(implies(and(X,Y),Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( and_3
<=> ! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( or_1
<=> ! [X,Y] : is_a_theorem(implies(X,or(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( or_2
<=> ! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( or_3
<=> ! [X,Y,Z] : is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( equivalence_1
<=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( equivalence_2
<=> ! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(Y,X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( equivalence_3
<=> ! [X,Y] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( kn1
<=> ! [P] : is_a_theorem(implies(P,and(P,P))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( kn2
<=> ! [P,Q] : is_a_theorem(implies(and(P,Q),P)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( kn3
<=> ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
( cn1
<=> ! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( cn2
<=> ! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
( cn3
<=> ! [P] : is_a_theorem(implies(implies(not(P),P),P)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
( r1
<=> ! [P] : is_a_theorem(implies(or(P,P),P)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
( r2
<=> ! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
( r3
<=> ! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
( r4
<=> ! [P,Q,R] : is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
( r5
<=> ! [P,Q,R] : is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
( op_or
=> ! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
( op_and
=> ! [X,Y] : and(X,Y) = not(or(not(X),not(Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
( op_implies_and
=> ! [X,Y] : implies(X,Y) = not(and(X,not(Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
( op_implies_or
=> ! [X,Y] : implies(X,Y) = or(not(X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
( op_equiv
=> ! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
op_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
op_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
modus_tollens,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
implies_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
implies_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
implies_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
and_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
and_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
and_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
or_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
or_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
or_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
equivalence_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
equivalence_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
equivalence_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,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(f51,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)],[f50]) ).
fof(f52,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)],[f51]) ).
fof(f53,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)],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| ~ modus_ponens ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f58,plain,
( substitution_of_equivalents
<=> ! [X,Y] :
( X = Y
| ~ is_a_theorem(equiv(X,Y)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f59,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)],[f58]) ).
fof(f60,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)],[f59]) ).
fof(f61,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f64,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(f65,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)],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
| ~ modus_tollens ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f68,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(f69,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)],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f72,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(f73,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)],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f76,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(f77,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)],[f76]) ).
fof(f78,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)],[f77]) ).
fof(f80,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(f81,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)],[f80]) ).
fof(f82,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f84,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(f85,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)],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X1))
| ~ and_2 ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f88,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(f89,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)],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f92,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(f93,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)],[f92]) ).
fof(f94,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f96,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(f97,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)],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X1,X0)))
| ~ or_2 ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f100,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(f101,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)],[f100]) ).
fof(f102,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)],[f101]) ).
fof(f104,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(f105,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)],[f104]) ).
fof(f106,plain,
! [X0,X1] :
( is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
| ~ equivalence_1 ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f108,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(f109,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)],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
| ~ equivalence_2 ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f112,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(f113,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)],[f112]) ).
fof(f114,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
| ~ equivalence_3 ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f116,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(f117,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)],[f116]) ).
fof(f118,plain,
! [X0] :
( is_a_theorem(implies(X0,and(X0,X0)))
| ~ kn1 ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f119,plain,
( ~ is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl)))
| kn1 ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f120,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(f121,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)],[f120]) ).
fof(f122,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ kn2 ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f123,plain,
( ~ is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl))
| kn2 ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f124,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(f125,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)],[f124]) ).
fof(f126,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)],[f125]) ).
fof(f127,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)],[f125]) ).
fof(f128,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(f129,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)],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ cn1 ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,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)],[f129]) ).
fof(f132,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(f133,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)],[f132]) ).
fof(f134,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ cn2 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
( ~ is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl)))
| cn2 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,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(f137,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)],[f136]) ).
fof(f138,plain,
! [X0] :
( is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ cn3 ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f139,plain,
( ~ is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl))
| cn3 ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f140,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(f141,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)],[f140]) ).
fof(f142,plain,
! [X0] :
( is_a_theorem(implies(or(X0,X0),X0))
| ~ r1 ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
( ~ is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl))
| r1 ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f144,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(f145,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)],[f144]) ).
fof(f146,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X1,X0)))
| ~ r2 ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
( ~ is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl)))
| r2 ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f148,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(f149,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)],[f148]) ).
fof(f150,plain,
! [X0,X1] :
( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
| ~ r3 ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
( ~ is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl)))
| r3 ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f152,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(f153,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)],[f152]) ).
fof(f154,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
| ~ r4 ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
( ~ is_a_theorem(implies(or(sK49_skl,or(sK50_skl,sK51_skl)),or(sK50_skl,or(sK49_skl,sK51_skl))))
| r4 ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f156,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(f157,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)],[f156]) ).
fof(f158,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))
| ~ r5 ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
( ~ is_a_theorem(implies(implies(sK53_skl,sK54_skl),implies(or(sK52_skl,sK53_skl),or(sK52_skl,sK54_skl))))
| r5 ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f160,plain,
( ! [X,Y] : or(X,Y) = not(and(not(X),not(Y)))
| ~ op_or ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f161,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
( ! [X,Y] : and(X,Y) = not(or(not(X),not(Y)))
| ~ op_and ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f163,plain,
! [X0,X1] :
( and(X0,X1) = not(or(not(X0),not(X1)))
| ~ op_and ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( ! [X,Y] : implies(X,Y) = not(and(X,not(Y)))
| ~ op_implies_and ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f165,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( ! [X,Y] : implies(X,Y) = or(not(X),Y)
| ~ op_implies_or ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f167,plain,
! [X0,X1] :
( implies(X0,X1) = or(not(X0),X1)
| ~ op_implies_or ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( ! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X))
| ~ op_equiv ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f169,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
op_or,
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f171,plain,
op_implies_and,
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f172,plain,
op_equiv,
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f173,plain,
modus_ponens,
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f174,plain,
modus_tollens,
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f175,plain,
implies_1,
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f176,plain,
implies_2,
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f177,plain,
implies_3,
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f178,plain,
and_1,
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f179,plain,
and_2,
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f180,plain,
and_3,
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f181,plain,
or_1,
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f182,plain,
or_2,
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f183,plain,
or_3,
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f184,plain,
equivalence_1,
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f185,plain,
equivalence_2,
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f186,plain,
equivalence_3,
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f187,plain,
substitution_of_equivalents,
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f188,definition,
( sQ0_spl
<=> modus_ponens ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( sQ0_spl
| ~ modus_ponens ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,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(f192,plain,
! [X0,X1] :
( ~ sQ1_spl
| is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f54,f188,f191]) ).
fof(f195,definition,
( sQ2_spl
<=> is_a_theorem(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ2_spl
| is_a_theorem(sK1_skl) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f199,definition,
( sQ3_spl
<=> is_a_theorem(implies(sK1_skl,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ3_spl
| is_a_theorem(implies(sK1_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f203,definition,
( sQ4_spl
<=> is_a_theorem(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( sQ4_spl
| ~ is_a_theorem(sK0_skl) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f207,definition,
( sQ5_spl
<=> substitution_of_equivalents ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( sQ5_spl
| ~ substitution_of_equivalents ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,definition,
! [X0,X1] :
( sQ6_spl
<=> ( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f211,plain,
! [X0,X1] :
( ~ sQ6_spl
| X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f61,f207,f210]) ).
fof(f214,definition,
( sQ7_spl
<=> is_a_theorem(equiv(sK2_skl,sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ7_spl
| is_a_theorem(equiv(sK2_skl,sK3_skl)) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f218,definition,
( sQ8_spl
<=> sK2_skl = sK3_skl ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( sQ8_spl
| sK2_skl != sK3_skl ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f222,definition,
( sQ9_spl
<=> modus_tollens ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( sQ9_spl
| ~ modus_tollens ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,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(f226,plain,
! [X0,X1] :
( ~ sQ10_spl
| is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f66,f222,f225]) ).
fof(f229,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(f230,plain,
( ~ sQ11_spl
| is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f231,plain,
( sQ11_spl
| ~ is_a_theorem(implies(implies(not(sK5_skl),not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f233,definition,
( sQ12_spl
<=> implies_1 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( sQ12_spl
| ~ implies_1 ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,definition,
! [X0,X1] :
( sQ13_spl
<=> is_a_theorem(implies(X0,implies(X1,X0))) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f237,plain,
! [X0,X1] :
( ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f70,f233,f236]) ).
fof(f240,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(f241,plain,
( ~ sQ14_spl
| is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl))) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ14_spl
| ~ is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl))) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f244,definition,
( sQ15_spl
<=> implies_2 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( sQ15_spl
| ~ implies_2 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,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(f248,plain,
! [X0,X1] :
( ~ sQ16_spl
| is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f74,f244,f247]) ).
fof(f251,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(f252,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)],[f251]) ).
fof(f253,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)],[f251]) ).
fof(f255,definition,
( sQ18_spl
<=> implies_3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( sQ18_spl
| ~ implies_3 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,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(f259,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)],[f258]) ).
fof(f261,plain,
( sQ19_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f78,f255,f258]) ).
fof(f262,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(f263,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)],[f262]) ).
fof(f264,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)],[f262]) ).
fof(f266,definition,
( sQ21_spl
<=> and_1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( sQ21_spl
| ~ and_1 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,definition,
! [X0,X1] :
( sQ22_spl
<=> is_a_theorem(implies(and(X0,X1),X0)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f270,plain,
! [X0,X1] :
( ~ sQ22_spl
| is_a_theorem(implies(and(X0,X1),X0)) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,plain,
( sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f82,f266,f269]) ).
fof(f273,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(f274,plain,
( ~ sQ23_spl
| is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl)) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f275,plain,
( sQ23_spl
| ~ is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl)) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f277,definition,
( sQ24_spl
<=> and_2 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( sQ24_spl
| ~ and_2 ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,definition,
! [X0,X1] :
( sQ25_spl
<=> is_a_theorem(implies(and(X0,X1),X1)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f281,plain,
! [X0,X1] :
( ~ sQ25_spl
| is_a_theorem(implies(and(X0,X1),X1)) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f86,f277,f280]) ).
fof(f284,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(f285,plain,
( ~ sQ26_spl
| is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl)) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f286,plain,
( sQ26_spl
| ~ is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl)) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f288,definition,
( sQ27_spl
<=> and_3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( sQ27_spl
| ~ and_3 ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,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(f292,plain,
! [X0,X1] :
( ~ sQ28_spl
| is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( sQ28_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f90,f288,f291]) ).
fof(f295,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(f296,plain,
( ~ sQ29_spl
| is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl)))) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( sQ29_spl
| ~ is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl)))) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f299,definition,
( sQ30_spl
<=> or_1 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( sQ30_spl
| ~ or_1 ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,definition,
! [X0,X1] :
( sQ31_spl
<=> is_a_theorem(implies(X0,or(X0,X1))) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f303,plain,
! [X0,X1] :
( ~ sQ31_spl
| is_a_theorem(implies(X0,or(X0,X1))) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f94,f299,f302]) ).
fof(f306,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(f307,plain,
( ~ sQ32_spl
| is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl))) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f308,plain,
( sQ32_spl
| ~ is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl))) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f310,definition,
( sQ33_spl
<=> or_2 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( sQ33_spl
| ~ or_2 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,definition,
! [X0,X1] :
( sQ34_spl
<=> is_a_theorem(implies(X0,or(X1,X0))) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f314,plain,
! [X0,X1] :
( ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f98,f310,f313]) ).
fof(f317,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(f318,plain,
( ~ sQ35_spl
| is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl))) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f319,plain,
( sQ35_spl
| ~ is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl))) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f321,definition,
( sQ36_spl
<=> or_3 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( sQ36_spl
| ~ or_3 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,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(f325,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)],[f324]) ).
fof(f327,plain,
( sQ37_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f102,f321,f324]) ).
fof(f328,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(f329,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)],[f328]) ).
fof(f330,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)],[f328]) ).
fof(f332,definition,
( sQ39_spl
<=> equivalence_1 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( sQ39_spl
| ~ equivalence_1 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,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(f336,plain,
! [X0,X1] :
( ~ sQ40_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( sQ40_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f106,f332,f335]) ).
fof(f339,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(f340,plain,
( ~ sQ41_spl
| is_a_theorem(implies(equiv(sK26_skl,sK27_skl),implies(sK26_skl,sK27_skl))) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f341,plain,
( sQ41_spl
| ~ is_a_theorem(implies(equiv(sK26_skl,sK27_skl),implies(sK26_skl,sK27_skl))) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f343,definition,
( sQ42_spl
<=> equivalence_2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f345,plain,
( sQ42_spl
| ~ equivalence_2 ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,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(f347,plain,
! [X0,X1] :
( ~ sQ43_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,plain,
( sQ43_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f110,f343,f346]) ).
fof(f350,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(f351,plain,
( ~ sQ44_spl
| is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl))) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f352,plain,
( sQ44_spl
| ~ is_a_theorem(implies(equiv(sK28_skl,sK29_skl),implies(sK29_skl,sK28_skl))) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f354,definition,
( sQ45_spl
<=> equivalence_3 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( sQ45_spl
| ~ equivalence_3 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,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(f358,plain,
! [X0,X1] :
( ~ sQ46_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( sQ46_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f114,f354,f357]) ).
fof(f361,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(f362,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)],[f361]) ).
fof(f363,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)],[f361]) ).
fof(f365,definition,
( sQ48_spl
<=> kn1 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( ~ sQ48_spl
| kn1 ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f367,plain,
( sQ48_spl
| ~ kn1 ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,definition,
! [X0] :
( sQ49_spl
<=> is_a_theorem(implies(X0,and(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f369,plain,
! [X0] :
( ~ sQ49_spl
| is_a_theorem(implies(X0,and(X0,X0))) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( sQ49_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f118,f365,f368]) ).
fof(f372,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(f373,plain,
( ~ sQ50_spl
| is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl))) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f374,plain,
( sQ50_spl
| ~ is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl))) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( ~ sQ50_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f119,f365,f372]) ).
fof(f376,definition,
( sQ51_spl
<=> kn2 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ51_spl
| kn2 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( sQ51_spl
| ~ kn2 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( sQ22_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f122,f376,f269]) ).
fof(f380,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(f381,plain,
( ~ sQ52_spl
| is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl)) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f382,plain,
( sQ52_spl
| ~ is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl)) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( ~ sQ52_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f123,f376,f380]) ).
fof(f384,definition,
( sQ53_spl
<=> kn3 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( ~ sQ53_spl
| kn3 ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f386,plain,
( sQ53_spl
| ~ kn3 ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,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(f388,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)],[f387]) ).
fof(f390,plain,
( sQ54_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f126,f384,f387]) ).
fof(f391,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(f392,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)],[f391]) ).
fof(f393,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)],[f391]) ).
fof(f394,plain,
( ~ sQ55_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f127,f384,f391]) ).
fof(f395,definition,
( sQ56_spl
<=> cn1 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ56_spl
| cn1 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f397,plain,
( sQ56_spl
| ~ cn1 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( sQ19_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f130,f395,f258]) ).
fof(f399,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(f400,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)],[f399]) ).
fof(f401,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)],[f399]) ).
fof(f402,plain,
( ~ sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f131,f395,f399]) ).
fof(f403,definition,
( sQ58_spl
<=> cn2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( ~ sQ58_spl
| cn2 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f405,plain,
( sQ58_spl
| ~ cn2 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,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(f407,plain,
! [X0,X1] :
( ~ sQ59_spl
| is_a_theorem(implies(X0,implies(not(X0),X1))) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( sQ59_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f134,f403,f406]) ).
fof(f410,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(f411,plain,
( ~ sQ60_spl
| is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl))) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f412,plain,
( sQ60_spl
| ~ is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl))) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,plain,
( ~ sQ60_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f135,f403,f410]) ).
fof(f414,definition,
( sQ61_spl
<=> cn3 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ61_spl
| cn3 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( sQ61_spl
| ~ cn3 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
! [X0] :
( sQ62_spl
<=> is_a_theorem(implies(implies(not(X0),X0),X0)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f418,plain,
! [X0] :
( ~ sQ62_spl
| is_a_theorem(implies(implies(not(X0),X0),X0)) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( sQ62_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f138,f414,f417]) ).
fof(f421,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(f422,plain,
( ~ sQ63_spl
| is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl)) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f423,plain,
( sQ63_spl
| ~ is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl)) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( ~ sQ63_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f139,f414,f421]) ).
fof(f425,definition,
( sQ64_spl
<=> r1 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( ~ sQ64_spl
| r1 ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f427,plain,
( sQ64_spl
| ~ r1 ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
! [X0] :
( sQ65_spl
<=> is_a_theorem(implies(or(X0,X0),X0)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f429,plain,
! [X0] :
( ~ sQ65_spl
| is_a_theorem(implies(or(X0,X0),X0)) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( sQ65_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f142,f425,f428]) ).
fof(f432,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(f433,plain,
( ~ sQ66_spl
| is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl)) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f434,plain,
( sQ66_spl
| ~ is_a_theorem(implies(or(sK44_skl,sK44_skl),sK44_skl)) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( ~ sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f143,f425,f432]) ).
fof(f436,definition,
( sQ67_spl
<=> r2 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ67_spl
| r2 ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( sQ67_spl
| ~ r2 ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,plain,
( sQ34_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f146,f436,f313]) ).
fof(f440,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(f441,plain,
( ~ sQ68_spl
| is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl))) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f442,plain,
( sQ68_spl
| ~ is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl))) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( ~ sQ68_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f147,f436,f440]) ).
fof(f444,definition,
( sQ69_spl
<=> r3 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ69_spl
| r3 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f446,plain,
( sQ69_spl
| ~ r3 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,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(f448,plain,
! [X0,X1] :
( ~ sQ70_spl
| is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( sQ70_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f150,f444,f447]) ).
fof(f451,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(f452,plain,
( ~ sQ71_spl
| is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl))) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f453,plain,
( sQ71_spl
| ~ is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl))) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( ~ sQ71_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f151,f444,f451]) ).
fof(f455,definition,
( sQ72_spl
<=> r4 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ72_spl
| r4 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f457,plain,
( sQ72_spl
| ~ r4 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,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(f459,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)],[f458]) ).
fof(f461,plain,
( sQ73_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f154,f455,f458]) ).
fof(f462,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(f463,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)],[f462]) ).
fof(f464,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)],[f462]) ).
fof(f465,plain,
( ~ sQ74_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f155,f455,f462]) ).
fof(f466,definition,
( sQ75_spl
<=> r5 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ75_spl
| r5 ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f468,plain,
( sQ75_spl
| ~ r5 ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,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(f470,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)],[f469]) ).
fof(f472,plain,
( sQ76_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f158,f466,f469]) ).
fof(f473,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(f474,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)],[f473]) ).
fof(f475,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)],[f473]) ).
fof(f476,plain,
( ~ sQ77_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f159,f466,f473]) ).
fof(f477,definition,
( sQ78_spl
<=> op_or ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( sQ78_spl
| ~ op_or ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,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(f481,plain,
! [X0,X1] :
( ~ sQ79_spl
| or(X0,X1) = not(and(not(X0),not(X1))) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( sQ79_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f161,f477,f480]) ).
fof(f484,definition,
( sQ80_spl
<=> op_and ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( sQ80_spl
| ~ op_and ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,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(f490,plain,
( sQ81_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f163,f484,f487]) ).
fof(f491,definition,
( sQ82_spl
<=> op_implies_and ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( sQ82_spl
| ~ op_implies_and ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
! [X0,X1] :
( sQ83_spl
<=> implies(X0,X1) = not(and(X0,not(X1))) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f495,plain,
! [X0,X1] :
( ~ sQ83_spl
| implies(X0,X1) = not(and(X0,not(X1))) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( sQ83_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f165,f491,f494]) ).
fof(f498,definition,
( sQ84_spl
<=> op_implies_or ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( sQ84_spl
| ~ op_implies_or ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,definition,
! [X0,X1] :
( sQ85_spl
<=> implies(X0,X1) = or(not(X0),X1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( sQ85_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f167,f498,f501]) ).
fof(f505,definition,
( sQ86_spl
<=> op_equiv ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( sQ86_spl
| ~ op_equiv ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,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(f509,plain,
! [X0,X1] :
( ~ sQ87_spl
| equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( sQ87_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f169,f505,f508]) ).
fof(f512,plain,
( sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f507,f172]) ).
fof(f513,plain,
sQ86_spl,
inference(contradiction_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f171]) ).
fof(f515,plain,
sQ82_spl,
inference(contradiction_clause,[status(thm)],[f514]) ).
fof(f516,plain,
( sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f479,f170]) ).
fof(f517,plain,
sQ78_spl,
inference(contradiction_clause,[status(thm)],[f516]) ).
fof(f518,plain,
( sQ77_spl
| ~ sQ76_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f475,f470]) ).
fof(f519,plain,
( sQ74_spl
| ~ sQ73_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f464,f459]) ).
fof(f520,plain,
( sQ71_spl
| ~ sQ70_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f453,f448]) ).
fof(f521,plain,
( sQ68_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f442,f314]) ).
fof(f522,plain,
( sQ68_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f523,plain,
( sQ66_spl
| ~ sQ65_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f434,f429]) ).
fof(f524,plain,
( sQ63_spl
| ~ sQ62_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f423,f418]) ).
fof(f525,plain,
( sQ60_spl
| ~ sQ59_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f412,f407]) ).
fof(f526,plain,
( sQ57_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f401,f259]) ).
fof(f527,plain,
( sQ57_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f526]) ).
fof(f528,plain,
( sQ55_spl
| ~ sQ54_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f393,f388]) ).
fof(f529,plain,
( sQ52_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f382,f270]) ).
fof(f530,plain,
( sQ52_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f529]) ).
fof(f531,plain,
( sQ50_spl
| ~ sQ49_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f374,f369]) ).
fof(f532,plain,
( sQ47_spl
| ~ sQ46_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f363,f358]) ).
fof(f533,plain,
( sQ44_spl
| ~ sQ43_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f352,f347]) ).
fof(f534,plain,
( sQ41_spl
| ~ sQ40_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f341,f336]) ).
fof(f535,plain,
( sQ38_spl
| ~ sQ37_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f330,f325]) ).
fof(f536,plain,
( sQ32_spl
| ~ sQ31_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f308,f303]) ).
fof(f537,plain,
( sQ29_spl
| ~ sQ28_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f297,f292]) ).
fof(f538,plain,
( sQ26_spl
| ~ sQ25_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f286,f281]) ).
fof(f539,plain,
( sQ17_spl
| ~ sQ16_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f253,f248]) ).
fof(f540,plain,
( sQ14_spl
| ~ sQ13_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f242,f237]) ).
fof(f541,plain,
( sQ11_spl
| ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f231,f226]) ).
fof(f542,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f190,f173]) ).
fof(f543,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f209,f187]) ).
fof(f545,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f544]) ).
fof(f546,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),not(and(X2,X0))))) ),
inference(backward_demodulation,[status(thm)],[f550,f388]) ).
fof(f547,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(X0,not(X1)),implies(X1,X0))) ),
inference(backward_demodulation,[status(thm)],[f550,f226]) ).
fof(f548,plain,
! [X0,X1] :
( ~ sQ59_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,or(X0,X1))) ),
inference(backward_demodulation,[status(thm)],[f550,f407]) ).
fof(f549,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(X0,X0),X0)) ),
inference(backward_demodulation,[status(thm)],[f550,f418]) ).
fof(f550,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| or(X0,X1) = implies(not(X0),X1) ),
inference(forward_demodulation,[status(thm)],[f495,f481]) ).
fof(f551,plain,
( sQ77_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f518]) ).
fof(f552,plain,
( sQ74_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f519]) ).
fof(f553,plain,
( sQ71_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f520]) ).
fof(f554,plain,
( sQ66_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f523]) ).
fof(f555,plain,
( sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f524]) ).
fof(f556,plain,
( sQ60_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f525]) ).
fof(f557,plain,
( sQ35_spl
| ~ sQ34_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f319,f314]) ).
fof(f558,plain,
( sQ55_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f528]) ).
fof(f559,plain,
( sQ20_spl
| ~ sQ19_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f264,f259]) ).
fof(f560,plain,
( sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f531]) ).
fof(f561,plain,
( sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f532]) ).
fof(f562,plain,
( sQ44_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f533]) ).
fof(f563,plain,
( sQ41_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f534]) ).
fof(f564,plain,
( sQ38_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f535]) ).
fof(f565,plain,
( sQ32_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f536]) ).
fof(f566,plain,
( sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f537]) ).
fof(f567,plain,
( sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f538]) ).
fof(f568,plain,
( sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f539]) ).
fof(f569,plain,
( sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f540]) ).
fof(f570,plain,
( sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f571,plain,
( sQ23_spl
| ~ sQ22_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f275,f270]) ).
fof(f572,plain,
( sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ is_a_theorem(implies(or(sK43_skl,sK43_skl),sK43_skl)) ),
inference(forward_demodulation,[status(thm)],[f550,f423]) ).
fof(f573,plain,
( sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ is_a_theorem(implies(sK41_skl,or(sK41_skl,sK42_skl))) ),
inference(forward_demodulation,[status(thm)],[f550,f412]) ).
fof(f574,plain,
( sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f557]) ).
fof(f575,plain,
( sQ55_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ is_a_theorem(implies(implies(sK35_skl,sK36_skl),or(and(sK36_skl,sK37_skl),not(and(sK37_skl,sK35_skl))))) ),
inference(forward_demodulation,[status(thm)],[f550,f393]) ).
fof(f576,plain,
( sQ20_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f559]) ).
fof(f577,plain,
( sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f356,f186]) ).
fof(f578,plain,
sQ45_spl,
inference(contradiction_clause,[status(thm)],[f577]) ).
fof(f579,plain,
( sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f345,f185]) ).
fof(f580,plain,
sQ42_spl,
inference(contradiction_clause,[status(thm)],[f579]) ).
fof(f581,plain,
( sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f334,f184]) ).
fof(f582,plain,
sQ39_spl,
inference(contradiction_clause,[status(thm)],[f581]) ).
fof(f583,plain,
( sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f323,f183]) ).
fof(f584,plain,
sQ36_spl,
inference(contradiction_clause,[status(thm)],[f583]) ).
fof(f585,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f301,f181]) ).
fof(f586,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f585]) ).
fof(f587,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f290,f180]) ).
fof(f588,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f587]) ).
fof(f589,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f279,f179]) ).
fof(f590,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f589]) ).
fof(f591,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f246,f176]) ).
fof(f592,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f591]) ).
fof(f593,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f175]) ).
fof(f594,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f593]) ).
fof(f595,plain,
( sQ11_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ is_a_theorem(implies(or(sK5_skl,not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
inference(forward_demodulation,[status(thm)],[f550,f231]) ).
fof(f596,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f224,f174]) ).
fof(f597,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f596]) ).
fof(f598,plain,
( sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f571]) ).
fof(f599,plain,
( sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f312,f182]) ).
fof(f600,plain,
sQ33_spl,
inference(contradiction_clause,[status(thm)],[f599]) ).
fof(f601,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f257,f177]) ).
fof(f602,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f601]) ).
fof(f603,plain,
( sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f573,f303]) ).
fof(f604,plain,
( ~ sQ11_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(sK5_skl,not(sK4_skl)),implies(sK4_skl,sK5_skl))) ),
inference(forward_demodulation,[status(thm)],[f550,f230]) ).
fof(f605,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f268,f178]) ).
fof(f606,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f605]) ).
fof(f607,plain,
( sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f603]) ).
fof(f608,plain,
( ~ sQ60_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(sK41_skl,or(sK41_skl,sK42_skl))) ),
inference(forward_demodulation,[status(thm)],[f550,f411]) ).
fof(f609,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| implies(X0,and(X1,not(X2))) = not(and(X0,implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f495,f495]) ).
fof(f610,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,not(X1)),X2) = implies(implies(X0,X1),X2) ),
inference(paramodulation,[status(thm)],[f495,f550]) ).
fof(f611,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(X0,not(X1)) = and(implies(X0,not(X1)),or(X1,X0)) ),
inference(paramodulation,[status(thm)],[f550,f509]) ).
fof(f612,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(not(X0),X1) = and(or(X0,X1),implies(X1,not(X0))) ),
inference(paramodulation,[status(thm)],[f550,f509]) ).
fof(f613,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(X1)
| ~ is_a_theorem(or(X0,X1))
| ~ is_a_theorem(not(X0)) ),
inference(paramodulation,[status(thm)],[f550,f192]) ).
fof(f614,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X1,X0),equiv(X0,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f358,f192]) ).
fof(f615,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f550,f358]) ).
fof(f616,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f550,f358]) ).
fof(f617,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ43_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(resolution,[status(thm)],[f347,f192]) ).
fof(f618,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(X0,not(X1)),or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f550,f347]) ).
fof(f619,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(resolution,[status(thm)],[f336,f192]) ).
fof(f620,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(not(X0),X1),or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f550,f336]) ).
fof(f621,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X2,X1),implies(or(X0,X2),X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f325,f192]) ).
fof(f622,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(X2,X1),implies(or(not(X0),X2),X1)))) ),
inference(paramodulation,[status(thm)],[f550,f325]) ).
fof(f623,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(X2,X1),implies(or(X0,not(X2)),X1)))) ),
inference(paramodulation,[status(thm)],[f550,f325]) ).
fof(f624,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f303,f192]) ).
fof(f625,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f550,f303]) ).
fof(f626,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X1,and(X0,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f292,f192]) ).
fof(f627,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,implies(X1,and(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f550,f292]) ).
fof(f628,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,or(X1,and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f550,f292]) ).
fof(f629,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f509,f292]) ).
fof(f630,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(X1)
| ~ is_a_theorem(and(X0,X1)) ),
inference(resolution,[status(thm)],[f281,f192]) ).
fof(f631,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f509,f281]) ).
fof(f632,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f237,f192]) ).
fof(f633,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,implies(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f550,f237]) ).
fof(f634,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f550,f237]) ).
fof(f635,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f314,f192]) ).
fof(f636,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f550,f314]) ).
fof(f637,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(resolution,[status(thm)],[f248,f192]) ).
fof(f638,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(or(X0,implies(not(X0),X1)),implies(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f550,f248]) ).
fof(f641,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(or(X0,or(X0,X1)),implies(not(X0),X1))) ),
inference(forward_demodulation,[status(thm)],[f550,f638]) ).
fof(f642,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(or(X0,or(X0,X1)),or(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f550,f641]) ).
fof(f647,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(or(X0,not(X1))) ),
inference(resolution,[status(thm)],[f547,f192]) ).
fof(f648,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(and(X1,not(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f495,f547]) ).
fof(f649,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,not(not(X1))),or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f550,f547]) ).
fof(f650,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f259,f192]) ).
fof(f651,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),implies(not(X0),X2)))) ),
inference(paramodulation,[status(thm)],[f550,f259]) ).
fof(f652,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(or(X1,X2),implies(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f550,f259]) ).
fof(f654,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2)))) ),
inference(forward_demodulation,[status(thm)],[f550,f651]) ).
fof(f656,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(X0)
| ~ is_a_theorem(and(X0,X1)) ),
inference(resolution,[status(thm)],[f270,f192]) ).
fof(f657,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f509,f270]) ).
fof(f658,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| implies(implies(X0,X1),and(X1,not(X0))) = not(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f509,f609]) ).
fof(f659,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| implies(X0,and(not(X1),not(X2))) = not(and(X0,or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f550,f609]) ).
fof(f660,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,not(X3)))),implies(and(X1,implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f609,f547]) ).
fof(f661,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,X2)),X3) = implies(implies(X0,and(X1,not(X2))),X3) ),
inference(paramodulation,[status(thm)],[f609,f550]) ).
fof(f664,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,and(X2,not(X3)))),X4) = implies(implies(X0,and(X1,implies(X2,X3))),X4) ),
inference(paramodulation,[status(thm)],[f609,f610]) ).
fof(f666,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,X1),not(X2)),implies(X2,and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f610,f547]) ).
fof(f667,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f610,f314]) ).
fof(f668,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(X0,not(X1)),implies(implies(X0,X1),X2))) ),
inference(paramodulation,[status(thm)],[f610,f303]) ).
fof(f669,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),X2),implies(implies(X3,X2),implies(implies(implies(X0,X1),X3),X2)))) ),
inference(paramodulation,[status(thm)],[f610,f325]) ).
fof(f670,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(not(X0),not(X1)) = and(or(X0,not(X1)),or(X1,not(X0))) ),
inference(paramodulation,[status(thm)],[f550,f611]) ).
fof(f671,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,not(and(X1,implies(X2,X3)))) = and(implies(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),X0)) ),
inference(paramodulation,[status(thm)],[f609,f611]) ).
fof(f674,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,not(X1)),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f611,f270]) ).
fof(f675,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,not(X1)),or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f611,f281]) ).
fof(f676,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f611,f292]) ).
fof(f677,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,and(X2,not(X3)))) = and(implies(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),X0)) ),
inference(forward_demodulation,[status(thm)],[f609,f671]) ).
fof(f684,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(not(and(X0,implies(X1,X2))),X3) = and(or(and(X0,implies(X1,X2)),X3),implies(X3,implies(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f609,f612]) ).
fof(f686,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| implies(or(X0,X1),and(X1,not(not(X0)))) = not(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f612,f609]) ).
fof(f687,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(not(X0),X1),or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f612,f270]) ).
fof(f688,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(not(X0),X1),implies(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f612,f281]) ).
fof(f689,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f612,f292]) ).
fof(f692,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,not(X2))),X3) = and(or(and(X0,implies(X1,X2)),X3),implies(X3,implies(X0,and(X1,not(X2))))) ),
inference(forward_demodulation,[status(thm)],[f609,f684]) ).
fof(f695,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(or(X0,not(X1)),implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f624,f547]) ).
fof(f696,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(and(X0,X1),X0),X2)) ),
inference(resolution,[status(thm)],[f624,f270]) ).
fof(f697,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(and(X0,X1),X1),X2)) ),
inference(resolution,[status(thm)],[f624,f281]) ).
fof(f698,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f624,f336]) ).
fof(f699,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f624,f347]) ).
fof(f700,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f624,f248]) ).
fof(f701,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),X3)) ),
inference(resolution,[status(thm)],[f624,f325]) ).
fof(f702,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f624,f259]) ).
fof(f703,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f624,f358]) ).
fof(f704,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(X1,and(X0,X1))),X2)) ),
inference(resolution,[status(thm)],[f624,f292]) ).
fof(f705,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f624,f237]) ).
fof(f706,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(X0,or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f624,f314]) ).
fof(f707,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| is_a_theorem(or(implies(X0,or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f624,f303]) ).
fof(f710,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,X1),or(X1,not(X0))),equiv(or(X1,not(X0)),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f614,f547]) ).
fof(f711,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,and(X0,X1)),equiv(and(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f614,f270]) ).
fof(f712,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,and(X1,X0)),equiv(and(X1,X0),X0))) ),
inference(resolution,[status(thm)],[f614,f281]) ).
fof(f713,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,X1),equiv(X0,X1)),equiv(equiv(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f614,f336]) ).
fof(f714,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,X1),equiv(X1,X0)),equiv(equiv(X1,X0),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f614,f347]) ).
fof(f715,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,X1),implies(X0,implies(X0,X1))),equiv(implies(X0,implies(X0,X1)),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f614,f248]) ).
fof(f716,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(or(X2,X0),X1)),implies(X2,X1)),equiv(implies(X2,X1),implies(implies(X0,X1),implies(or(X2,X0),X1))))) ),
inference(resolution,[status(thm)],[f614,f325]) ).
fof(f717,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X2,X0)),equiv(implies(X2,X0),implies(implies(X0,X1),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f614,f259]) ).
fof(f718,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),equiv(X1,X0)),implies(X1,X0)),equiv(implies(X1,X0),implies(implies(X0,X1),equiv(X1,X0))))) ),
inference(resolution,[status(thm)],[f614,f358]) ).
fof(f719,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,X0)),X1),equiv(X1,implies(X0,and(X1,X0))))) ),
inference(resolution,[status(thm)],[f614,f292]) ).
fof(f720,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,X1),X1),equiv(X1,implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f614,f237]) ).
fof(f721,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(or(X0,X1),X1),equiv(X1,or(X0,X1)))) ),
inference(resolution,[status(thm)],[f614,f314]) ).
fof(f722,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(or(X0,X1),X0),equiv(X0,or(X0,X1)))) ),
inference(resolution,[status(thm)],[f614,f303]) ).
fof(f723,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X1,not(X0)),equiv(not(X0),X1)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(paramodulation,[status(thm)],[f550,f614]) ).
fof(f724,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f612,f630]) ).
fof(f725,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f611,f630]) ).
fof(f726,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f509,f630]) ).
fof(f727,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f632,f547]) ).
fof(f728,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f632,f270]) ).
fof(f729,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f632,f281]) ).
fof(f730,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f632,f336]) ).
fof(f731,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f632,f347]) ).
fof(f732,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f632,f248]) ).
fof(f733,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))))) ),
inference(resolution,[status(thm)],[f632,f325]) ).
fof(f734,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f632,f259]) ).
fof(f735,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))) ),
inference(resolution,[status(thm)],[f632,f358]) ).
fof(f736,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,and(X1,X2))))) ),
inference(resolution,[status(thm)],[f632,f292]) ).
fof(f737,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f632,f237]) ).
fof(f738,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f632,f314]) ).
fof(f739,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f632,f303]) ).
fof(f740,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(or(X1,not(X2)),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f635,f547]) ).
fof(f741,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f635,f270]) ).
fof(f742,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(and(X1,X2),X2))) ),
inference(resolution,[status(thm)],[f635,f281]) ).
fof(f743,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f635,f336]) ).
fof(f744,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(equiv(X1,X2),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f635,f347]) ).
fof(f745,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f635,f248]) ).
fof(f746,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))))) ),
inference(resolution,[status(thm)],[f635,f325]) ).
fof(f747,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f635,f259]) ).
fof(f748,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))))) ),
inference(resolution,[status(thm)],[f635,f358]) ).
fof(f749,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,and(X1,X2))))) ),
inference(resolution,[status(thm)],[f635,f292]) ).
fof(f750,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f635,f237]) ).
fof(f751,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,implies(X1,or(X2,X1)))) ),
inference(resolution,[status(thm)],[f635,f314]) ).
fof(f752,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(X1,or(X1,X2)))) ),
inference(resolution,[status(thm)],[f635,f303]) ).
fof(f753,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f612,f656]) ).
fof(f754,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(X1)))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f611,f656]) ).
fof(f755,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f509,f656]) ).
fof(f756,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(implies(implies(implies(X0,not(X1)),equiv(not(X1),X0)),or(X1,X0)),equiv(or(X1,X0),implies(implies(X0,not(X1)),equiv(not(X1),X0))))) ),
inference(resolution,[status(thm)],[f615,f614]) ).
fof(f758,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(or(X0,implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f615,f635]) ).
fof(f759,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f615,f632]) ).
fof(f760,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(or(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1))),X2)) ),
inference(resolution,[status(thm)],[f615,f624]) ).
fof(f762,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,not(X1)),implies(or(X1,not(X0)),equiv(not(X0),not(X1))))) ),
inference(paramodulation,[status(thm)],[f550,f615]) ).
fof(f763,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),X3),implies(implies(X3,implies(X0,and(X1,not(X2)))),equiv(not(and(X0,implies(X1,X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f609,f615]) ).
fof(f769,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),X3),implies(implies(X3,implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),X3)))) ),
inference(forward_demodulation,[status(thm)],[f609,f763]) ).
fof(f775,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(implies(implies(or(X0,X1),equiv(X1,not(X0))),implies(X1,not(X0))),equiv(implies(X1,not(X0)),implies(or(X0,X1),equiv(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f616,f614]) ).
fof(f776,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X1,X0),equiv(X0,not(X1))))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f616,f192]) ).
fof(f777,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(or(X0,implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f616,f635]) ).
fof(f778,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(X0,implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f616,f632]) ).
fof(f779,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(or(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1)))),X2)) ),
inference(resolution,[status(thm)],[f616,f624]) ).
fof(f781,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X0),equiv(X0,not(and(X1,implies(X2,X3))))))) ),
inference(paramodulation,[status(thm)],[f609,f616]) ).
fof(f786,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X0),equiv(X0,implies(X1,and(X2,not(X3))))))) ),
inference(forward_demodulation,[status(thm)],[f609,f781]) ).
fof(f794,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(implies(implies(or(X0,X1),equiv(X1,not(X0))),equiv(equiv(X1,not(X0)),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f618,f614]) ).
fof(f795,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(resolution,[status(thm)],[f618,f192]) ).
fof(f796,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f618,f635]) ).
fof(f797,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(implies(X0,implies(equiv(X1,not(X2)),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f618,f632]) ).
fof(f798,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(implies(equiv(X0,not(X1)),or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f618,f624]) ).
fof(f799,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f609,f618]) ).
fof(f804,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(implies(or(X0,X1),equiv(not(X0),X1)),equiv(equiv(not(X0),X1),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f620,f614]) ).
fof(f805,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(resolution,[status(thm)],[f620,f192]) ).
fof(f806,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f620,f635]) ).
fof(f807,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,implies(equiv(not(X1),X2),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f620,f632]) ).
fof(f808,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f620,f624]) ).
fof(f809,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(implies(X0,and(X1,not(X2))),X3),or(and(X0,implies(X1,X2)),X3))) ),
inference(paramodulation,[status(thm)],[f609,f620]) ).
fof(f814,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(or(or(X2,not(X1)),X0),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f621,f547]) ).
fof(f815,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,not(X2)),equiv(not(X2),X1))),implies(or(or(X2,X1),X0),implies(implies(X1,not(X2)),equiv(not(X2),X1))))) ),
inference(resolution,[status(thm)],[f621,f615]) ).
fof(f816,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(and(X1,X2),X0),X1))) ),
inference(resolution,[status(thm)],[f621,f270]) ).
fof(f817,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(and(X2,X1),X0),X1))) ),
inference(resolution,[status(thm)],[f621,f281]) ).
fof(f818,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(or(equiv(not(X1),X2),X0),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f621,f620]) ).
fof(f819,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(or(equiv(X2,not(X1)),X0),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f621,f618]) ).
fof(f820,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(or(equiv(X1,X2),X0),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f621,f336]) ).
fof(f821,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(or(equiv(X2,X1),X0),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f621,f347]) ).
fof(f822,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(or(X1,X2),equiv(X2,not(X1)))),implies(or(implies(X2,not(X1)),X0),implies(or(X1,X2),equiv(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f621,f616]) ).
fof(f823,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(or(implies(X1,implies(X1,X2)),X0),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f621,f248]) ).
fof(f824,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,X2),implies(or(X3,X1),X2))),implies(or(implies(X3,X2),X0),implies(implies(X1,X2),implies(or(X3,X1),X2))))) ),
inference(resolution,[status(thm)],[f621,f325]) ).
fof(f825,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,X2),implies(X3,X2))),implies(or(implies(X3,X1),X0),implies(implies(X1,X2),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f621,f259]) ).
fof(f826,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,X2),equiv(X2,X1))),implies(or(implies(X2,X1),X0),implies(implies(X1,X2),equiv(X2,X1))))) ),
inference(resolution,[status(thm)],[f621,f358]) ).
fof(f827,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,and(X2,X1))),implies(or(X2,X0),implies(X1,and(X2,X1))))) ),
inference(resolution,[status(thm)],[f621,f292]) ).
fof(f828,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(or(X2,X0),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f621,f237]) ).
fof(f829,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(or(X2,X0),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f621,f314]) ).
fof(f830,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(or(X1,X0),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f621,f303]) ).
fof(f831,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X2,X1),implies(or(not(X0),X2),X1)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(paramodulation,[status(thm)],[f550,f621]) ).
fof(f832,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,X2),implies(or(not(X3),X1),X2))),implies(or(or(X3,X2),X0),implies(implies(X1,X2),implies(or(not(X3),X1),X2))))) ),
inference(resolution,[status(thm)],[f622,f621]) ).
fof(f833,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(or(not(X2),X0),X1)),or(X2,X1)),equiv(or(X2,X1),implies(implies(X0,X1),implies(or(not(X2),X0),X1))))) ),
inference(resolution,[status(thm)],[f622,f614]) ).
fof(f835,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(X0,implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))))) ),
inference(resolution,[status(thm)],[f622,f635]) ).
fof(f836,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))))) ),
inference(resolution,[status(thm)],[f622,f632]) ).
fof(f837,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(implies(or(X0,X1),implies(implies(X2,X1),implies(or(not(X0),X2),X1))),X3)) ),
inference(resolution,[status(thm)],[f622,f624]) ).
fof(f839,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(X2,X1),implies(or(not(X0),not(X2)),X1)))) ),
inference(paramodulation,[status(thm)],[f550,f622]) ).
fof(f840,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),X3),implies(implies(X4,X3),implies(or(implies(X0,and(X1,not(X2))),X4),X3)))) ),
inference(paramodulation,[status(thm)],[f609,f622]) ).
fof(f845,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f625,f635]) ).
fof(f846,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f625,f632]) ).
fof(f847,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(or(X0,or(not(X0),X1)),X2)) ),
inference(resolution,[status(thm)],[f625,f624]) ).
fof(f849,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(implies(X0,and(X1,not(X2))),X3))) ),
inference(paramodulation,[status(thm)],[f609,f625]) ).
fof(f853,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(implies(X0,implies(or(X1,X2),implies(or(X3,not(X1)),X2))),implies(or(implies(X3,X2),X0),implies(or(X1,X2),implies(or(X3,not(X1)),X2))))) ),
inference(resolution,[status(thm)],[f623,f621]) ).
fof(f854,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(implies(or(X0,X1),implies(or(X2,not(X0)),X1)),implies(X2,X1)),equiv(implies(X2,X1),implies(or(X0,X1),implies(or(X2,not(X0)),X1))))) ),
inference(resolution,[status(thm)],[f623,f614]) ).
fof(f855,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X2,X1),implies(or(X0,not(X2)),X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f623,f192]) ).
fof(f856,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))))) ),
inference(resolution,[status(thm)],[f623,f635]) ).
fof(f857,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))))) ),
inference(resolution,[status(thm)],[f623,f632]) ).
fof(f858,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(implies(implies(X0,X1),implies(or(X2,X1),implies(or(X0,not(X2)),X1))),X3)) ),
inference(resolution,[status(thm)],[f623,f624]) ).
fof(f861,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),X2),implies(or(X3,X2),implies(implies(implies(X0,X1),not(X3)),X2)))) ),
inference(paramodulation,[status(thm)],[f610,f623]) ).
fof(f862,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(and(X2,implies(X3,X4)),X1),implies(or(X0,implies(X2,and(X3,not(X4)))),X1)))) ),
inference(paramodulation,[status(thm)],[f609,f623]) ).
fof(f866,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(or(X1,or(not(X1),X2)),X0))) ),
inference(resolution,[status(thm)],[f626,f625]) ).
fof(f867,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(or(X1,not(X2)),implies(X2,X1)),X0))) ),
inference(resolution,[status(thm)],[f626,f547]) ).
fof(f868,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))),X0))) ),
inference(resolution,[status(thm)],[f626,f615]) ).
fof(f869,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))),X0))) ),
inference(resolution,[status(thm)],[f626,f622]) ).
fof(f870,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(and(X1,X2),X1),X0))) ),
inference(resolution,[status(thm)],[f626,f270]) ).
fof(f871,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(and(X1,X2),X2),X0))) ),
inference(resolution,[status(thm)],[f626,f281]) ).
fof(f872,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(equiv(not(X1),X2),or(X1,X2)),X0))) ),
inference(resolution,[status(thm)],[f626,f620]) ).
fof(f873,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(equiv(X1,not(X2)),or(X2,X1)),X0))) ),
inference(resolution,[status(thm)],[f626,f618]) ).
fof(f874,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(equiv(X1,X2),implies(X1,X2)),X0))) ),
inference(resolution,[status(thm)],[f626,f336]) ).
fof(f875,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(equiv(X1,X2),implies(X2,X1)),X0))) ),
inference(resolution,[status(thm)],[f626,f347]) ).
fof(f876,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))),X0))) ),
inference(resolution,[status(thm)],[f626,f616]) ).
fof(f877,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,implies(X1,X2)),implies(X1,X2)),X0))) ),
inference(resolution,[status(thm)],[f626,f248]) ).
fof(f878,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))),X0))) ),
inference(resolution,[status(thm)],[f626,f623]) ).
fof(f879,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))),X0))) ),
inference(resolution,[status(thm)],[f626,f325]) ).
fof(f880,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),X0))) ),
inference(resolution,[status(thm)],[f626,f259]) ).
fof(f881,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))),X0))) ),
inference(resolution,[status(thm)],[f626,f358]) ).
fof(f882,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,and(X1,X2))),X0))) ),
inference(resolution,[status(thm)],[f626,f292]) ).
fof(f883,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,X1)),X0))) ),
inference(resolution,[status(thm)],[f626,f237]) ).
fof(f884,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,or(X2,X1)),X0))) ),
inference(resolution,[status(thm)],[f626,f314]) ).
fof(f885,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(implies(X1,or(X1,X2)),X0))) ),
inference(resolution,[status(thm)],[f626,f303]) ).
fof(f887,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,not(X1))),X0))) ),
inference(resolution,[status(thm)],[f633,f626]) ).
fof(f888,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f633,f635]) ).
fof(f889,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f633,f632]) ).
fof(f890,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(or(X0,implies(X1,not(X0))),X2)) ),
inference(resolution,[status(thm)],[f633,f624]) ).
fof(f892,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f550,f633]) ).
fof(f893,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X3,implies(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f609,f633]) ).
fof(f898,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,and(or(X1,or(X2,not(X1))),X0))) ),
inference(resolution,[status(thm)],[f636,f626]) ).
fof(f899,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X0,or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f636,f635]) ).
fof(f900,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f636,f632]) ).
fof(f901,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,or(X1,not(X0))),X2)) ),
inference(resolution,[status(thm)],[f636,f624]) ).
fof(f903,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),not(X0)))) ),
inference(paramodulation,[status(thm)],[f610,f636]) ).
fof(f904,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(X3,implies(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f609,f636]) ).
fof(f908,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(implies(and(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f696,f613]) ).
fof(f909,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,and(or(implies(and(X1,X2),X1),X3),X0))) ),
inference(resolution,[status(thm)],[f696,f626]) ).
fof(f910,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(implies(and(X1,X2),X1),X3))) ),
inference(resolution,[status(thm)],[f696,f635]) ).
fof(f911,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(implies(and(X1,X2),X1),X3))) ),
inference(resolution,[status(thm)],[f696,f632]) ).
fof(f912,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ22_spl
| is_a_theorem(or(or(implies(and(X0,X1),X0),X2),X3)) ),
inference(resolution,[status(thm)],[f696,f624]) ).
fof(f913,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(not(X0),X1),or(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f612,f696]) ).
fof(f914,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,not(X1)),implies(X0,not(X1))),X2)) ),
inference(paramodulation,[status(thm)],[f611,f696]) ).
fof(f915,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(implies(equiv(X0,X1),implies(X0,X1)),X2)) ),
inference(paramodulation,[status(thm)],[f509,f696]) ).
fof(f916,definition,
! [X0,X1] :
( sQ88_spl
<=> ~ is_a_theorem(not(implies(and(X0,X1),X0))) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f917,plain,
! [X0,X1] :
( ~ sQ88_spl
| ~ is_a_theorem(not(implies(and(X0,X1),X0))) ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,definition,
! [X2] :
( sQ89_spl
<=> is_a_theorem(X2) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f920,plain,
! [X0] :
( ~ sQ89_spl
| is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ22_spl
| ~ sQ31_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f908,f916,f919,f302,f269,f191,f494,f480]) ).
fof(f923,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ88_spl
| ~ is_a_theorem(not(implies(equiv(not(X0),X1),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f612,f917]) ).
fof(f925,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ88_spl
| ~ is_a_theorem(not(implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f509,f917]) ).
fof(f927,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,and(not(X1),X2))),X0))) ),
inference(resolution,[status(thm)],[f627,f626]) ).
fof(f928,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,or(X1,implies(X2,and(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f627,f635]) ).
fof(f929,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,and(not(X1),X2))))) ),
inference(resolution,[status(thm)],[f627,f632]) ).
fof(f930,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(or(X0,implies(X1,and(not(X0),X1))),X2)) ),
inference(resolution,[status(thm)],[f627,f624]) ).
fof(f933,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X3,and(implies(X0,and(X1,not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f609,f627]) ).
fof(f937,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,or(X1,and(X2,not(X1)))),implies(or(X2,X0),or(X1,and(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f628,f621]) ).
fof(f938,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(or(X0,and(X1,not(X0))),X1),equiv(X1,or(X0,and(X1,not(X0)))))) ),
inference(resolution,[status(thm)],[f628,f614]) ).
fof(f939,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X1,and(X0,not(X1))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f628,f192]) ).
fof(f940,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,and(implies(X1,or(X2,and(X1,not(X2)))),X0))) ),
inference(resolution,[status(thm)],[f628,f626]) ).
fof(f941,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,implies(X1,or(X2,and(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f628,f635]) ).
fof(f942,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,and(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f628,f632]) ).
fof(f943,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(implies(X0,or(X1,and(X0,not(X1)))),X2)) ),
inference(resolution,[status(thm)],[f628,f624]) ).
fof(f946,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,or(and(X1,implies(X2,X3)),and(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f609,f628]) ).
fof(f950,plain,
! [X0,X1] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f637,f325]) ).
fof(f951,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f637,f259]) ).
fof(f952,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f637,f358]) ).
fof(f953,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(X0,X0))) ),
inference(resolution,[status(thm)],[f637,f292]) ).
fof(f954,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f637,f237]) ).
fof(f955,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(or(X0,implies(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f550,f637]) ).
fof(f957,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ16_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f953,f368,f247,f191,f291]) ).
fof(f958,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(or(X0,or(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f550,f955]) ).
fof(f959,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(or(X0,or(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f550,f958]) ).
fof(f962,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,and(X1,X1)),implies(or(X1,X0),and(X1,X1)))) ),
inference(resolution,[status(thm)],[f369,f621]) ).
fof(f963,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(and(X0,X0),X0),equiv(X0,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f369,f614]) ).
fof(f964,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(X0,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f369,f192]) ).
fof(f965,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(implies(X1,and(X1,X1)),X0))) ),
inference(resolution,[status(thm)],[f369,f626]) ).
fof(f966,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f369,f635]) ).
fof(f967,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,implies(X1,and(X1,X1)))) ),
inference(resolution,[status(thm)],[f369,f632]) ).
fof(f968,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(or(implies(X0,and(X0,X0)),X1)) ),
inference(resolution,[status(thm)],[f369,f624]) ).
fof(f969,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,and(not(X0),not(X0)))) ),
inference(paramodulation,[status(thm)],[f550,f369]) ).
fof(f970,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f509,f369]) ).
fof(f971,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(or(or(X1,or(X1,X2)),X0),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f642,f621]) ).
fof(f972,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(or(X0,X1),or(X0,or(X0,X1))),equiv(or(X0,or(X0,X1)),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f642,f614]) ).
fof(f974,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(implies(or(X1,or(X1,X2)),or(X1,X2)),X0))) ),
inference(resolution,[status(thm)],[f642,f626]) ).
fof(f975,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(or(X1,or(X1,X2)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f642,f635]) ).
fof(f976,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,implies(or(X1,or(X1,X2)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f642,f632]) ).
fof(f977,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(or(implies(or(X0,or(X0,X1)),or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f642,f624]) ).
fof(f987,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,implies(and(X1,X2),X1))) ),
inference(resolution,[status(thm)],[f647,f696]) ).
fof(f988,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(X2,and(X0,not(X1))))
| ~ is_a_theorem(implies(implies(X0,X1),not(X2))) ),
inference(paramodulation,[status(thm)],[f610,f647]) ).
fof(f989,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,implies(X2,X3)),X0))
| ~ is_a_theorem(or(X0,implies(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f609,f647]) ).
fof(f990,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,not(X2)),X0))
| ~ is_a_theorem(or(X0,implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f495,f647]) ).
fof(f991,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(X0,implies(and(X1,not(X2)),X3)),implies(or(or(X3,implies(X1,X2)),X0),implies(and(X1,not(X2)),X3)))) ),
inference(resolution,[status(thm)],[f648,f621]) ).
fof(f992,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(implies(and(X0,not(X1)),X2),or(X2,implies(X0,X1))),equiv(or(X2,implies(X0,X1)),implies(and(X0,not(X1)),X2)))) ),
inference(resolution,[status(thm)],[f648,f614]) ).
fof(f994,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(X0,and(implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)),X0))) ),
inference(resolution,[status(thm)],[f648,f626]) ).
fof(f995,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(or(X0,implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)))) ),
inference(resolution,[status(thm)],[f648,f635]) ).
fof(f996,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(X0,implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)))) ),
inference(resolution,[status(thm)],[f648,f632]) ).
fof(f997,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(or(implies(or(X0,implies(X1,X2)),implies(and(X1,not(X2)),X0)),X3)) ),
inference(resolution,[status(thm)],[f648,f624]) ).
fof(f998,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(and(X2,not(X3)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f610,f648]) ).
fof(f999,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(and(not(X1),not(X2)),X0))) ),
inference(paramodulation,[status(thm)],[f550,f648]) ).
fof(f1000,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,implies(X3,X4)))),implies(and(X1,implies(X2,and(X3,not(X4)))),X0))) ),
inference(paramodulation,[status(thm)],[f609,f648]) ).
fof(f1002,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(X1,X0),X1))) ),
inference(resolution,[status(thm)],[f954,f621]) ).
fof(f1005,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(implies(X1,X1),X0))) ),
inference(resolution,[status(thm)],[f954,f626]) ).
fof(f1006,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f954,f635]) ).
fof(f1007,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f954,f632]) ).
fof(f1008,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f954,f624]) ).
fof(f1009,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(paramodulation,[status(thm)],[f550,f954]) ).
fof(f1010,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(or(or(X2,not(not(X1))),X0),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f649,f621]) ).
fof(f1011,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(or(X0,X1),or(X1,not(not(X0)))),equiv(or(X1,not(not(X0))),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f649,f614]) ).
fof(f1012,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(or(X0,not(not(X1)))) ),
inference(resolution,[status(thm)],[f649,f192]) ).
fof(f1013,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(X0,and(implies(or(X1,not(not(X2))),or(X2,X1)),X0))) ),
inference(resolution,[status(thm)],[f649,f626]) ).
fof(f1014,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,implies(or(X1,not(not(X2))),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f649,f635]) ).
fof(f1015,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(X0,implies(or(X1,not(not(X2))),or(X2,X1)))) ),
inference(resolution,[status(thm)],[f649,f632]) ).
fof(f1016,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(implies(or(X0,not(not(X1))),or(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f649,f624]) ).
fof(f1017,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,X1),not(not(X2))),or(X2,and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f610,f649]) ).
fof(f1018,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,not(implies(X1,and(X2,not(X3))))),or(and(X1,implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f609,f649]) ).
fof(f1023,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(and(X0,not(X1)),X2),X3),implies(or(X2,implies(X0,X1)),X3))) ),
inference(resolution,[status(thm)],[f650,f648]) ).
fof(f1024,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),implies(or(X0,or(X0,X1)),X2))) ),
inference(resolution,[status(thm)],[f650,f642]) ).
fof(f1025,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),implies(or(X1,not(not(X0))),X2))) ),
inference(resolution,[status(thm)],[f650,f649]) ).
fof(f1026,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(or(X1,not(X0)),X2))) ),
inference(resolution,[status(thm)],[f650,f547]) ).
fof(f1027,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(implies(X0,not(X1)),equiv(not(X1),X0)),X2),implies(or(X1,X0),X2))) ),
inference(resolution,[status(thm)],[f650,f615]) ).
fof(f1028,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(or(not(X2),X0),X1)),X3),implies(or(X2,X1),X3))) ),
inference(resolution,[status(thm)],[f650,f622]) ).
fof(f1029,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X0,X2),X1))) ),
inference(resolution,[status(thm)],[f650,f270]) ).
fof(f1030,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(and(X2,X0),X1))) ),
inference(resolution,[status(thm)],[f650,f281]) ).
fof(f1031,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),implies(equiv(not(X0),X1),X2))) ),
inference(resolution,[status(thm)],[f650,f620]) ).
fof(f1032,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),implies(equiv(X1,not(X0)),X2))) ),
inference(resolution,[status(thm)],[f650,f618]) ).
fof(f1033,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(equiv(X0,X1),X2))) ),
inference(resolution,[status(thm)],[f650,f336]) ).
fof(f1034,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(equiv(X1,X0),X2))) ),
inference(resolution,[status(thm)],[f650,f347]) ).
fof(f1035,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(or(X0,X1),equiv(X1,not(X0))),X2),implies(implies(X1,not(X0)),X2))) ),
inference(resolution,[status(thm)],[f650,f616]) ).
fof(f1036,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,implies(X0,X1)),X2))) ),
inference(resolution,[status(thm)],[f650,f248]) ).
fof(f1037,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(or(X0,X1),implies(or(X2,not(X0)),X1)),X3),implies(implies(X2,X1),X3))) ),
inference(resolution,[status(thm)],[f650,f623]) ).
fof(f1038,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(or(X2,X0),X1)),X3),implies(implies(X2,X1),X3))) ),
inference(resolution,[status(thm)],[f650,f325]) ).
fof(f1039,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ1_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))) ),
inference(resolution,[status(thm)],[f650,f259]) ).
fof(f1040,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),equiv(X1,X0)),X2),implies(implies(X1,X0),X2))) ),
inference(resolution,[status(thm)],[f650,f358]) ).
fof(f1041,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(and(X0,X0),X1),implies(X0,X1))) ),
inference(resolution,[status(thm)],[f650,f369]) ).
fof(f1042,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,X0)),X2),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f650,f292]) ).
fof(f1043,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f650,f237]) ).
fof(f1044,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,and(X1,not(X0))),X2),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f650,f628]) ).
fof(f1045,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),implies(X1,X2))) ),
inference(resolution,[status(thm)],[f650,f314]) ).
fof(f1046,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),implies(X0,X2))) ),
inference(resolution,[status(thm)],[f650,f303]) ).
fof(f1048,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(paramodulation,[status(thm)],[f550,f650]) ).
fof(f1049,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X1,X2),or(X0,X2)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f550,f1048]) ).
fof(f1052,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(X1,not(X1)),X0))) ),
inference(resolution,[status(thm)],[f1009,f626]) ).
fof(f1053,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f1009,f635]) ).
fof(f1054,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f1009,f632]) ).
fof(f1055,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(X0,not(X0)),X1)) ),
inference(resolution,[status(thm)],[f1009,f624]) ).
fof(f1057,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f609,f1009]) ).
fof(f1061,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| is_a_theorem(and(or(implies(and(X0,X1),X0),X2),or(implies(and(X0,X1),X0),X2))) ),
inference(resolution,[status(thm)],[f964,f696]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f964,f1009]) ).
fof(f1063,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(X1,and(not(X0),X1))),or(X0,implies(X1,and(not(X0),X1))))) ),
inference(resolution,[status(thm)],[f964,f627]) ).
fof(f1064,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,implies(X1,not(X0))),or(X0,implies(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f964,f633]) ).
fof(f1065,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(not(X0),X1)),or(X0,or(not(X0),X1)))) ),
inference(resolution,[status(thm)],[f964,f625]) ).
fof(f1066,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,or(X1,not(X0))),or(X0,or(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f964,f636]) ).
fof(f1067,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,implies(X1,X2)),implies(and(X1,not(X2)),X0)),implies(or(X0,implies(X1,X2)),implies(and(X1,not(X2)),X0)))) ),
inference(resolution,[status(thm)],[f964,f648]) ).
fof(f1068,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,or(X0,X1)),or(X0,X1)),implies(or(X0,or(X0,X1)),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f964,f642]) ).
fof(f1069,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(not(X1))),or(X1,X0)),implies(or(X0,not(not(X1))),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f964,f649]) ).
fof(f1070,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,not(X1)),implies(X1,X0)),implies(or(X0,not(X1)),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f964,f547]) ).
fof(f1071,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1))),implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1))))) ),
inference(resolution,[status(thm)],[f964,f615]) ).
fof(f1072,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(or(X0,X1),implies(implies(X2,X1),implies(or(not(X0),X2),X1))),implies(or(X0,X1),implies(implies(X2,X1),implies(or(not(X0),X2),X1))))) ),
inference(resolution,[status(thm)],[f964,f622]) ).
fof(f1073,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X0),implies(and(X0,X1),X0))) ),
inference(resolution,[status(thm)],[f964,f270]) ).
fof(f1074,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(and(X0,X1),X1),implies(and(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f964,f281]) ).
fof(f1075,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(not(X0),X1),or(X0,X1)),implies(equiv(not(X0),X1),or(X0,X1)))) ),
inference(resolution,[status(thm)],[f964,f620]) ).
fof(f1076,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,not(X1)),or(X1,X0)),implies(equiv(X0,not(X1)),or(X1,X0)))) ),
inference(resolution,[status(thm)],[f964,f618]) ).
fof(f1077,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X0,X1)),implies(equiv(X0,X1),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f964,f336]) ).
fof(f1078,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(equiv(X0,X1),implies(X1,X0)),implies(equiv(X0,X1),implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f964,f347]) ).
fof(f1079,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1)))),implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1)))))) ),
inference(resolution,[status(thm)],[f964,f616]) ).
fof(f1080,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,implies(X0,X1)),implies(X0,X1)),implies(implies(X0,implies(X0,X1)),implies(X0,X1)))) ),
inference(resolution,[status(thm)],[f964,f248]) ).
fof(f1081,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(or(X2,X1),implies(or(X0,not(X2)),X1))),implies(implies(X0,X1),implies(or(X2,X1),implies(or(X0,not(X2)),X1))))) ),
inference(resolution,[status(thm)],[f964,f623]) ).
fof(f1082,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))),implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))) ),
inference(resolution,[status(thm)],[f964,f325]) ).
fof(f1083,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f964,f259]) ).
fof(f1084,plain,
! [X0,X1] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))),implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))) ),
inference(resolution,[status(thm)],[f964,f358]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ1_spl
| is_a_theorem(and(implies(X0,and(X0,X0)),implies(X0,and(X0,X0)))) ),
inference(resolution,[status(thm)],[f964,f369]) ).
fof(f1086,plain,
! [X0,X1] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,and(X0,X1))),implies(X0,implies(X1,and(X0,X1))))) ),
inference(resolution,[status(thm)],[f964,f292]) ).
fof(f1087,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,implies(X1,X0)),implies(X0,implies(X1,X0)))) ),
inference(resolution,[status(thm)],[f964,f237]) ).
fof(f1088,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,and(X0,not(X1)))),implies(X0,or(X1,and(X0,not(X1)))))) ),
inference(resolution,[status(thm)],[f964,f628]) ).
fof(f1089,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X1,X0)),implies(X0,or(X1,X0)))) ),
inference(resolution,[status(thm)],[f964,f314]) ).
fof(f1090,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,or(X0,X1)),implies(X0,or(X0,X1)))) ),
inference(resolution,[status(thm)],[f964,f303]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f964,f954]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(forward_demodulation,[status(thm)],[f509,f1091]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(equiv(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f1093,f964]) ).
fof(f1098,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(equiv(X1,X1),X0))) ),
inference(resolution,[status(thm)],[f1093,f626]) ).
fof(f1099,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f1093,f635]) ).
fof(f1100,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f1093,f632]) ).
fof(f1101,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(equiv(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f1093,f624]) ).
fof(f1102,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1006,f613]) ).
fof(f1103,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(X0,implies(X1,X1)),or(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f1006,f964]) ).
fof(f1104,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(X1,implies(X2,X2)),X0))) ),
inference(resolution,[status(thm)],[f1006,f626]) ).
fof(f1105,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1006,f635]) ).
fof(f1106,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1006,f632]) ).
fof(f1107,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(X0,implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f1006,f624]) ).
fof(f1110,definition,
! [X0] :
( sQ90_spl
<=> ~ is_a_theorem(not(X0)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1111,plain,
! [X0] :
( ~ sQ90_spl
| ~ is_a_theorem(not(X0)) ),
inference(component_clause,[status(thm)],[f1110]) ).
fof(f1113,definition,
! [X1] :
( sQ91_spl
<=> is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ91_spl
| is_a_theorem(implies(X0,X0)) ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1116,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1102,f1110,f1113,f247,f236,f313,f191,f494,f480]) ).
fof(f1117,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),or(X2,X1)),X3),implies(or(X2,X0),X3))) ),
inference(resolution,[status(thm)],[f654,f650]) ).
fof(f1118,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,implies(implies(X1,X2),or(X3,X2))),implies(or(or(X3,X1),X0),implies(implies(X1,X2),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f654,f621]) ).
fof(f1119,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),or(X2,X1)),or(X2,X0)),equiv(or(X2,X0),implies(implies(X0,X1),or(X2,X1))))) ),
inference(resolution,[status(thm)],[f654,f614]) ).
fof(f1121,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2))),implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2))))) ),
inference(resolution,[status(thm)],[f654,f964]) ).
fof(f1122,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(X0,and(implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))),X0))) ),
inference(resolution,[status(thm)],[f654,f626]) ).
fof(f1123,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(or(X0,implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))))) ),
inference(resolution,[status(thm)],[f654,f635]) ).
fof(f1124,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(X0,implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))))) ),
inference(resolution,[status(thm)],[f654,f632]) ).
fof(f1125,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(or(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f654,f624]) ).
fof(f1127,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,not(X1)),implies(or(X1,X2),or(X0,X2)))) ),
inference(paramodulation,[status(thm)],[f550,f654]) ).
fof(f1131,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(implies(implies(or(X0,X1),implies(X2,X1)),X3),implies(implies(X2,not(X0)),X3))) ),
inference(resolution,[status(thm)],[f652,f650]) ).
fof(f1132,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,implies(or(X1,X2),implies(X3,X2))),implies(or(implies(X3,not(X1)),X0),implies(or(X1,X2),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f652,f621]) ).
fof(f1133,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(or(X0,X1),implies(X2,X1)),implies(X2,not(X0))),equiv(implies(X2,not(X0)),implies(or(X0,X1),implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f652,f614]) ).
fof(f1134,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[f652,f192]) ).
fof(f1135,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(and(implies(implies(X0,not(X1)),implies(or(X1,X2),implies(X0,X2))),implies(implies(X0,not(X1)),implies(or(X1,X2),implies(X0,X2))))) ),
inference(resolution,[status(thm)],[f652,f964]) ).
fof(f1136,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(X0,and(implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))),X0))) ),
inference(resolution,[status(thm)],[f652,f626]) ).
fof(f1137,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(or(X0,implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f652,f635]) ).
fof(f1138,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(X0,implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))))) ),
inference(resolution,[status(thm)],[f652,f632]) ).
fof(f1139,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(or(implies(implies(X0,not(X1)),implies(or(X1,X2),implies(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[f652,f624]) ).
fof(f1141,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X4),implies(X0,X4)))) ),
inference(paramodulation,[status(thm)],[f609,f652]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,and(not(X0),not(X0))),or(X0,and(not(X0),not(X0))))) ),
inference(resolution,[status(thm)],[f969,f964]) ).
fof(f1150,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(or(X1,and(not(X1),not(X1))),X0))) ),
inference(resolution,[status(thm)],[f969,f626]) ).
fof(f1151,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,or(X1,and(not(X1),not(X1))))) ),
inference(resolution,[status(thm)],[f969,f635]) ).
fof(f1152,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,or(X1,and(not(X1),not(X1))))) ),
inference(resolution,[status(thm)],[f969,f632]) ).
fof(f1153,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(or(X0,and(not(X0),not(X0))),X1)) ),
inference(resolution,[status(thm)],[f969,f624]) ).
fof(f1155,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),and(implies(X0,and(X1,not(X2))),not(and(X0,implies(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f609,f969]) ).
fof(f1163,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),and(implies(X0,and(X1,not(X2))),implies(X0,and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f609,f1155]) ).
fof(f1169,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| implies(not(equiv(X0,X1)),and(and(X1,not(X0)),not(implies(X0,X1)))) = not(equiv(implies(X0,X1),and(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f658,f658]) ).
fof(f1171,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ87_spl
| implies(implies(and(X0,implies(X1,X2)),X3),and(X3,implies(X0,and(X1,not(X2))))) = not(equiv(and(X0,implies(X1,X2)),X3)) ),
inference(paramodulation,[status(thm)],[f609,f658]) ).
fof(f1172,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ87_spl
| implies(implies(and(X0,not(X1)),X2),and(X2,implies(X0,X1))) = not(equiv(and(X0,not(X1)),X2)) ),
inference(paramodulation,[status(thm)],[f495,f658]) ).
fof(f1173,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),not(X2)),implies(or(X2,and(X1,not(X0))),not(equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f658,f652]) ).
fof(f1174,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(not(equiv(X1,X2)),or(X0,and(X2,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f658,f654]) ).
fof(f1175,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(and(X1,not(X0)),X2),implies(implies(X0,X1),X2)))
| ~ is_a_theorem(not(equiv(X0,X1))) ),
inference(paramodulation,[status(thm)],[f658,f650]) ).
fof(f1177,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X1),and(X1,not(X0))))
| ~ is_a_theorem(implies(implies(X0,X1),not(equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f658,f637]) ).
fof(f1178,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(equiv(X0,X1)),implies(or(X2,and(X1,not(X0))),implies(or(implies(X0,X1),not(X2)),and(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f658,f623]) ).
fof(f1179,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,not(X2))),implies(not(equiv(X2,X1)),implies(or(not(X0),implies(X2,X1)),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f658,f622]) ).
fof(f1180,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X2,and(X1,not(X0))),implies(or(implies(X0,X1),X2),and(X1,not(X0)))))
| ~ is_a_theorem(not(equiv(X0,X1))) ),
inference(paramodulation,[status(thm)],[f658,f621]) ).
fof(f1181,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X1,not(X0)),implies(X0,X1)),equiv(implies(X0,X1),and(X1,not(X0)))))
| ~ is_a_theorem(not(equiv(X0,X1))) ),
inference(paramodulation,[status(thm)],[f658,f614]) ).
fof(f1183,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,and(X1,not(X0))),not(equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f658,f259]) ).
fof(f1184,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(not(equiv(X1,X2)),implies(X0,and(X2,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f658,f259]) ).
fof(f1185,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(and(X1,not(X0)),X2),implies(implies(X0,X1),X2)))) ),
inference(paramodulation,[status(thm)],[f658,f259]) ).
fof(f1186,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(and(X0,not(X1)),not(implies(X1,X0))),not(equiv(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f658,f547]) ).
fof(f1187,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X0,X1),and(X1,not(X0)))),not(equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f658,f248]) ).
fof(f1189,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(and(X0,not(X1)),not(equiv(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f658,f237]) ).
fof(f1190,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(X1,not(X2))),implies(not(equiv(X2,X1)),implies(or(X0,implies(X2,X1)),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f658,f325]) ).
fof(f1191,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(X2,and(X1,not(X0))),implies(or(implies(X0,X1),X2),and(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f658,f325]) ).
fof(f1192,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(implies(X0,X1),and(X1,not(X0))),not(equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f658,f336]) ).
fof(f1193,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(and(X0,not(X1)),implies(X1,X0)),not(equiv(X1,X0)))) ),
inference(paramodulation,[status(thm)],[f658,f347]) ).
fof(f1194,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),implies(X1,X0)),implies(not(equiv(X1,X0)),equiv(and(X0,not(X1)),implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f658,f358]) ).
fof(f1195,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(and(X1,not(X0)),implies(X0,X1)),equiv(implies(X0,X1),and(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f658,f358]) ).
fof(f1196,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(and(X1,not(X0)))
| ~ is_a_theorem(not(equiv(X0,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f658,f192]) ).
fof(f1197,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| equiv(and(X0,not(X1)),implies(X1,X0)) = and(implies(and(X0,not(X1)),implies(X1,X0)),not(equiv(X1,X0))) ),
inference(paramodulation,[status(thm)],[f658,f509]) ).
fof(f1198,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| equiv(implies(X0,X1),and(X1,not(X0))) = and(not(equiv(X0,X1)),implies(and(X1,not(X0)),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f658,f509]) ).
fof(f1199,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(equiv(X0,X1),and(and(X1,not(X0)),not(implies(X0,X1)))) = not(equiv(implies(X0,X1),and(X1,not(X0)))) ),
inference(forward_demodulation,[status(thm)],[f550,f1169]) ).
fof(f1200,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),or(equiv(X1,X2),or(X0,and(X2,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1174]) ).
fof(f1203,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(not(equiv(X0,X1)))
| ~ is_a_theorem(implies(implies(X0,X1),not(equiv(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f658,f1177]) ).
fof(f1204,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ90_spl
| ~ is_a_theorem(implies(implies(X0,X1),not(equiv(X0,X1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1203,f1111]) ).
fof(f1205,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(or(equiv(X0,X1),implies(or(X2,and(X1,not(X0))),implies(or(implies(X0,X1),not(X2)),and(X1,not(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1178]) ).
fof(f1206,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,not(X2))),or(equiv(X2,X1),implies(or(not(X0),implies(X2,X1)),and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1179]) ).
fof(f1207,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X2,implies(X1,X0)),implies(or(implies(X0,X1),X2),and(X1,not(X0)))))
| ~ is_a_theorem(not(equiv(X0,X1))) ),
inference(forward_demodulation,[status(thm)],[f661,f1180]) ).
fof(f1210,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),or(and(X2,implies(X1,X0)),not(equiv(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f661,f1183]) ).
fof(f1211,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),or(equiv(X1,X2),implies(X0,and(X2,not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1184]) ).
fof(f1212,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ79_spl
| is_a_theorem(or(equiv(X0,X1),implies(implies(and(X1,not(X0)),X2),implies(implies(X0,X1),X2)))) ),
inference(forward_demodulation,[status(thm)],[f550,f1185]) ).
fof(f1213,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(implies(X0,X1),not(implies(X1,X0))),not(equiv(X1,X0)))) ),
inference(forward_demodulation,[status(thm)],[f610,f1186]) ).
fof(f1214,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(implies(X0,X1),not(equiv(X0,X1))),not(equiv(X0,X1)))) ),
inference(forward_demodulation,[status(thm)],[f658,f1187]) ).
fof(f1216,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(not(equiv(X2,X1)),implies(or(X0,implies(X2,X1)),and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f661,f1190]) ).
fof(f1217,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(equiv(X2,X1),implies(or(X0,implies(X2,X1)),and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1216]) ).
fof(f1218,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(equiv(X0,X1),implies(implies(X2,and(X1,not(X0))),implies(or(implies(X0,X1),X2),and(X1,not(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1191]) ).
fof(f1219,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| is_a_theorem(or(equiv(X0,X1),or(and(X2,implies(X1,X0)),implies(or(implies(X0,X1),X2),and(X1,not(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f661,f1218]) ).
fof(f1220,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),implies(X1,X0)),or(equiv(X1,X0),equiv(and(X0,not(X1)),implies(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1194]) ).
fof(f1221,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ79_spl
| is_a_theorem(or(equiv(X0,X1),implies(implies(and(X1,not(X0)),implies(X0,X1)),equiv(implies(X0,X1),and(X1,not(X0)))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1195]) ).
fof(f1223,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| or(X0,and(not(X1),not(X2))) = not(and(not(X0),or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f550,f659]) ).
fof(f1224,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| implies(X0,and(implies(X1,and(X2,not(X3))),not(X4))) = not(and(X0,or(and(X1,implies(X2,X3)),X4))) ),
inference(paramodulation,[status(thm)],[f609,f659]) ).
fof(f1226,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| implies(X0,and(not(X1),implies(X2,and(X3,not(X4))))) = not(and(X0,or(X1,and(X2,implies(X3,X4))))) ),
inference(paramodulation,[status(thm)],[f609,f659]) ).
fof(f1227,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| implies(X0,and(not(X1),implies(X2,X3))) = not(and(X0,or(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f495,f659]) ).
fof(f1228,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(and(not(X0),not(X1)),implies(X2,X3)),not(and(and(X2,not(X3)),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f648]) ).
fof(f1229,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(not(and(and(and(not(X0),not(X1)),X2),or(X0,X1))),X3)) ),
inference(paramodulation,[status(thm)],[f659,f696]) ).
fof(f1230,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| is_a_theorem(not(and(and(and(not(X0),not(X1)),X2),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f270]) ).
fof(f1231,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| is_a_theorem(not(and(and(X0,and(not(X1),not(X2))),or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f281]) ).
fof(f1234,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(not(X1),not(X2))),implies(implies(X3,and(not(X1),not(X2))),not(and(or(X0,X3),or(X1,X2)))))) ),
inference(paramodulation,[status(thm)],[f659,f325]) ).
fof(f1237,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,not(and(not(X1),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f627]) ).
fof(f1238,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(not(and(not(X0),or(X0,X0)))) ),
inference(paramodulation,[status(thm)],[f659,f369]) ).
fof(f1240,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| implies(not(and(X0,or(X1,X2))),and(and(not(X1),not(X2)),not(X0))) = not(equiv(X0,and(not(X1),not(X2)))) ),
inference(paramodulation,[status(thm)],[f659,f658]) ).
fof(f1242,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),implies(not(and(X1,or(X2,X3))),or(X0,and(not(X2),not(X3)))))) ),
inference(paramodulation,[status(thm)],[f659,f654]) ).
fof(f1243,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,not(and(and(not(X1),not(X2)),or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f659,f1006]) ).
fof(f1244,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(and(not(X1),not(X2)),X3),implies(X0,X3)))
| ~ is_a_theorem(not(and(X0,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f650]) ).
fof(f1245,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(not(and(and(not(X0),not(X1)),or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f954]) ).
fof(f1247,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(not(X1),not(X2))))
| ~ is_a_theorem(implies(X0,not(and(X0,or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f659,f637]) ).
fof(f1250,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X3,and(not(X1),not(X2))),implies(or(X0,X3),and(not(X1),not(X2)))))
| ~ is_a_theorem(not(and(X0,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f621]) ).
fof(f1251,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(not(X1),not(X2)),X0),equiv(X0,and(not(X1),not(X2)))))
| ~ is_a_theorem(not(and(X0,or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f614]) ).
fof(f1253,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,and(not(X2),not(X3))),not(and(X0,or(X2,X3)))))) ),
inference(paramodulation,[status(thm)],[f659,f259]) ).
fof(f1255,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(not(and(X0,or(X1,X2))),implies(implies(and(not(X1),not(X2)),X3),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f659,f259]) ).
fof(f1256,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(and(not(X0),not(X1)),not(X2)),not(and(X2,or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f547]) ).
fof(f1257,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,implies(X0,and(not(X1),not(X2)))),not(and(X0,or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f659,f248]) ).
fof(f1259,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(and(not(X0),not(X1)),not(and(X2,or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f237]) ).
fof(f1262,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(X0,and(not(X1),not(X2))),not(and(X0,or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f659,f336]) ).
fof(f1263,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(and(not(X0),not(X1)),X2),not(and(X2,or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f347]) ).
fof(f1264,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(not(X0),not(X1)),X2),implies(not(and(X2,or(X0,X1))),equiv(and(not(X0),not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f659,f358]) ).
fof(f1265,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(not(and(X0,or(X1,X2))),implies(implies(and(not(X1),not(X2)),X0),equiv(X0,and(not(X1),not(X2)))))) ),
inference(paramodulation,[status(thm)],[f659,f358]) ).
fof(f1266,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| is_a_theorem(and(not(X1),not(X2)))
| ~ is_a_theorem(not(and(X0,or(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(paramodulation,[status(thm)],[f659,f192]) ).
fof(f1267,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(and(not(X0),not(X1)),X2) = and(implies(and(not(X0),not(X1)),X2),not(and(X2,or(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f659,f509]) ).
fof(f1268,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(X0,and(not(X1),not(X2))) = and(not(and(X0,or(X1,X2))),implies(and(not(X1),not(X2)),X0)) ),
inference(paramodulation,[status(thm)],[f659,f509]) ).
fof(f1270,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(not(and(not(X0),or(X0,X0))),X1)) ),
inference(backward_demodulation,[status(thm)],[f1223,f1153]) ).
fof(f1271,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,not(and(not(X1),or(X1,X1))))) ),
inference(backward_demodulation,[status(thm)],[f1223,f1152]) ).
fof(f1272,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(or(X0,not(and(not(X1),or(X1,X1))))) ),
inference(backward_demodulation,[status(thm)],[f1223,f1151]) ).
fof(f1273,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| is_a_theorem(implies(X0,and(not(and(not(X1),or(X1,X1))),X0))) ),
inference(backward_demodulation,[status(thm)],[f1223,f1150]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(X0,and(not(X0),not(X0))),not(and(not(X0),or(X0,X0))))) ),
inference(backward_demodulation,[status(thm)],[f1223,f1149]) ).
fof(f1277,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(not(X0),X1),implies(X2,X3)),not(and(and(X2,not(X3)),or(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f610,f1228]) ).
fof(f1278,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(or(X0,X1),implies(X2,X3)),not(and(and(X2,not(X3)),or(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1277]) ).
fof(f1279,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1230,f1111]) ).
fof(f1280,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1279]) ).
fof(f1289,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(not(X1),X2)),implies(implies(X3,and(not(X1),not(X2))),not(and(or(X0,X3),or(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f661,f1234]) ).
fof(f1290,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,or(X1,X2)),implies(implies(X3,and(not(X1),not(X2))),not(and(or(X0,X3),or(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1289]) ).
fof(f1291,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,or(X1,X2)),or(and(X3,implies(not(X1),X2)),not(and(or(X0,X3),or(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f661,f1290]) ).
fof(f1292,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,or(X1,X2)),or(and(X3,or(X1,X2)),not(and(or(X0,X3),or(X1,X2)))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1291]) ).
fof(f1294,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| or(and(X0,or(X1,X2)),and(and(not(X1),not(X2)),not(X0))) = not(equiv(X0,and(not(X1),not(X2)))) ),
inference(forward_demodulation,[status(thm)],[f550,f1240]) ).
fof(f1297,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),or(and(X1,or(X2,X3)),or(X0,and(not(X2),not(X3)))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1242]) ).
fof(f1298,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),or(and(X1,or(X2,X3)),not(and(not(X0),or(X2,X3)))))) ),
inference(forward_demodulation,[status(thm)],[f1223,f1297]) ).
fof(f1301,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(not(and(X0,or(X1,X2))))
| ~ is_a_theorem(implies(X0,not(and(X0,or(X1,X2))))) ),
inference(forward_demodulation,[status(thm)],[f659,f1247]) ).
fof(f1310,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X3,implies(not(X1),X2)),implies(or(X0,X3),and(not(X1),not(X2)))))
| ~ is_a_theorem(not(and(X0,or(X1,X2)))) ),
inference(forward_demodulation,[status(thm)],[f661,f1250]) ).
fof(f1311,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X3,or(X1,X2)),implies(or(X0,X3),and(not(X1),not(X2)))))
| ~ is_a_theorem(not(and(X0,or(X1,X2)))) ),
inference(forward_demodulation,[status(thm)],[f550,f1310]) ).
fof(f1312,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X3,or(X1,X2)),not(and(or(X0,X3),or(X1,X2)))))
| ~ is_a_theorem(not(and(X0,or(X1,X2)))) ),
inference(forward_demodulation,[status(thm)],[f659,f1311]) ).
fof(f1315,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(and(X1,implies(not(X2),X3)),not(and(X0,or(X2,X3)))))) ),
inference(forward_demodulation,[status(thm)],[f661,f1253]) ).
fof(f1316,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(and(X1,or(X2,X3)),not(and(X0,or(X2,X3)))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1315]) ).
fof(f1319,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(or(and(X0,or(X1,X2)),implies(implies(and(not(X1),not(X2)),X3),implies(X0,X3)))) ),
inference(forward_demodulation,[status(thm)],[f550,f1255]) ).
fof(f1320,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(not(X0),X1),not(X2)),not(and(X2,or(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f610,f1256]) ).
fof(f1321,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(or(X0,X1),not(X2)),not(and(X2,or(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1320]) ).
fof(f1322,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,not(and(X0,or(X1,X2)))),not(and(X0,or(X1,X2))))) ),
inference(forward_demodulation,[status(thm)],[f659,f1257]) ).
fof(f1332,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(not(X0),not(X1)),X2),or(and(X2,or(X0,X1)),equiv(and(not(X0),not(X1)),X2)))) ),
inference(forward_demodulation,[status(thm)],[f550,f1264]) ).
fof(f1333,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(or(and(X0,or(X1,X2)),implies(implies(and(not(X1),not(X2)),X0),equiv(X0,and(not(X1),not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1265]) ).
fof(f1334,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(not(and(not(X0),or(X0,X0))),not(and(not(X0),or(X0,X0))))) ),
inference(forward_demodulation,[status(thm)],[f1223,f1274]) ).
fof(f1346,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(implies(and(X0,implies(X1,X2)),X3),X4),implies(or(X3,implies(X0,and(X1,not(X2)))),X4))) ),
inference(resolution,[status(thm)],[f660,f650]) ).
fof(f1347,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(X0,implies(and(X1,implies(X2,X3)),X4)),implies(or(or(X4,implies(X1,and(X2,not(X3)))),X0),implies(and(X1,implies(X2,X3)),X4)))) ),
inference(resolution,[status(thm)],[f660,f621]) ).
fof(f1348,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(implies(and(X0,implies(X1,X2)),X3),or(X3,implies(X0,and(X1,not(X2))))),equiv(or(X3,implies(X0,and(X1,not(X2)))),implies(and(X0,implies(X1,X2)),X3)))) ),
inference(resolution,[status(thm)],[f660,f614]) ).
fof(f1350,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(or(X0,implies(X1,and(X2,not(X3)))),implies(and(X1,implies(X2,X3)),X0)),implies(or(X0,implies(X1,and(X2,not(X3)))),implies(and(X1,implies(X2,X3)),X0)))) ),
inference(resolution,[status(thm)],[f660,f964]) ).
fof(f1351,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(X0,and(implies(or(X1,implies(X2,and(X3,not(X4)))),implies(and(X2,implies(X3,X4)),X1)),X0))) ),
inference(resolution,[status(thm)],[f660,f626]) ).
fof(f1352,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(or(X0,implies(or(X1,implies(X2,and(X3,not(X4)))),implies(and(X2,implies(X3,X4)),X1)))) ),
inference(resolution,[status(thm)],[f660,f635]) ).
fof(f1353,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(X0,implies(or(X1,implies(X2,and(X3,not(X4)))),implies(and(X2,implies(X3,X4)),X1)))) ),
inference(resolution,[status(thm)],[f660,f632]) ).
fof(f1354,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(or(implies(or(X0,implies(X1,and(X2,not(X3)))),implies(and(X1,implies(X2,X3)),X0)),X4)) ),
inference(resolution,[status(thm)],[f660,f624]) ).
fof(f1355,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,X1),implies(X2,and(X3,not(X4)))),implies(and(X2,implies(X3,X4)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f610,f660]) ).
fof(f1357,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,or(X1,and(X2,not(X3)))),implies(and(not(X1),implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f550,f660]) ).
fof(f1359,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,implies(X3,and(X4,not(X5)))))),implies(and(X1,implies(X2,and(X3,implies(X4,X5)))),X0))) ),
inference(paramodulation,[status(thm)],[f609,f660]) ).
fof(f1361,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(and(not(X0),not(X1)),implies(X2,and(X3,not(X4)))),not(and(and(X2,implies(X3,X4)),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f660]) ).
fof(f1369,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(not(X0),X1),implies(X2,and(X3,not(X4)))),not(and(and(X2,implies(X3,X4)),or(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f610,f1361]) ).
fof(f1370,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(or(X0,X1),implies(X2,and(X3,not(X4)))),not(and(and(X2,implies(X3,X4)),or(X0,X1))))) ),
inference(forward_demodulation,[status(thm)],[f550,f1369]) ).
fof(f1378,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,X2)),and(and(X1,not(X2)),not(X0))) = not(equiv(X0,and(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f658,f661]) ).
fof(f1380,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| or(and(implies(X0,and(X1,not(X2))),implies(X3,X4)),X5) = implies(or(and(X0,implies(X1,X2)),and(X3,not(X4))),X5) ),
inference(paramodulation,[status(thm)],[f661,f661]) ).
fof(f1382,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| or(and(not(X0),implies(X1,X2)),X3) = implies(or(X0,and(X1,not(X2))),X3) ),
inference(paramodulation,[status(thm)],[f550,f661]) ).
fof(f1384,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,and(X2,implies(X3,X4)))),X5) = implies(implies(X0,and(X1,implies(X2,and(X3,not(X4))))),X5) ),
inference(paramodulation,[status(thm)],[f609,f661]) ).
fof(f1387,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),or(and(X1,implies(X2,X3)),or(X0,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f661,f654]) ).
fof(f1388,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),X2),or(and(X2,implies(X0,X1)),equiv(and(X0,not(X1)),X2)))) ),
inference(paramodulation,[status(thm)],[f661,f358]) ).
fof(f1389,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,not(X2))),or(and(X3,implies(X1,X2)),implies(or(not(X0),X3),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f661,f622]) ).
fof(f1390,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(or(X3,and(X1,not(X2))),implies(or(X0,not(X3)),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f661,f623]) ).
fof(f1391,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(X1,not(X2))),or(and(X3,implies(X1,X2)),implies(or(X0,X3),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f661,f325]) ).
fof(f1393,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(implies(and(X1,not(X2)),X3),implies(X0,X3)))) ),
inference(paramodulation,[status(thm)],[f661,f259]) ).
fof(f1394,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(implies(and(X1,not(X2)),X0),equiv(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f661,f358]) ).
fof(f1395,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X1),or(and(X1,implies(X2,X3)),implies(X0,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f661,f259]) ).
fof(f1397,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),not(X0)))) ),
inference(paramodulation,[status(thm)],[f661,f633]) ).
fof(f1398,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),not(X3)),implies(or(X3,implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),not(X3))))) ),
inference(paramodulation,[status(thm)],[f661,f616]) ).
fof(f1399,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),not(X0)),equiv(not(X0),implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f661,f615]) ).
fof(f1400,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(not(X0),implies(X1,and(X2,not(X3)))) = and(or(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),not(X0))) ),
inference(paramodulation,[status(thm)],[f661,f612]) ).
fof(f1401,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,not(X2))),not(X3)) = and(or(and(X0,implies(X1,X2)),not(X3)),or(X3,implies(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f661,f611]) ).
fof(f1403,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),and(not(X0),implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f661,f627]) ).
fof(f1404,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,or(and(X1,implies(X2,X3)),and(X4,not(X5)))),implies(and(implies(X1,and(X2,not(X3))),implies(X4,X5)),X0))) ),
inference(paramodulation,[status(thm)],[f661,f660]) ).
fof(f1411,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(X3,and(implies(X0,and(X1,not(X2))),not(X3))))) ),
inference(paramodulation,[status(thm)],[f661,f628]) ).
fof(f1415,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| implies(or(and(X0,implies(X1,X2)),X3),and(X3,not(implies(X0,and(X1,not(X2)))))) = not(equiv(implies(X0,and(X1,not(X2))),X3)) ),
inference(paramodulation,[status(thm)],[f661,f658]) ).
fof(f1417,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X4),or(X0,X4)))) ),
inference(paramodulation,[status(thm)],[f661,f654]) ).
fof(f1418,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),implies(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f661,f1006]) ).
fof(f1421,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(X0,or(and(X1,implies(X2,X3)),X4)),implies(and(implies(X1,and(X2,not(X3))),not(X4)),X0))) ),
inference(paramodulation,[status(thm)],[f661,f648]) ).
fof(f1423,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),X3),implies(or(X4,X3),implies(or(implies(X0,and(X1,not(X2))),not(X4)),X3)))) ),
inference(paramodulation,[status(thm)],[f661,f623]) ).
fof(f1424,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(and(X2,implies(X3,X4)),X1),implies(or(not(X0),implies(X2,and(X3,not(X4)))),X1)))) ),
inference(paramodulation,[status(thm)],[f661,f622]) ).
fof(f1425,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X4,X3),implies(or(implies(X0,and(X1,not(X2))),X4),X3)))
| ~ is_a_theorem(or(and(X0,implies(X1,X2)),X3)) ),
inference(paramodulation,[status(thm)],[f661,f621]) ).
fof(f1426,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X3,implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),X3)))
| ~ is_a_theorem(or(and(X0,implies(X1,X2)),X3)) ),
inference(paramodulation,[status(thm)],[f661,f614]) ).
fof(f1434,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(and(X1,implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f661,f237]) ).
fof(f1441,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| is_a_theorem(X3)
| ~ is_a_theorem(or(and(X0,implies(X1,X2)),X3))
| ~ is_a_theorem(implies(X0,and(X1,not(X2)))) ),
inference(paramodulation,[status(thm)],[f661,f192]) ).
fof(f1447,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(and(X3,implies(X1,X2)),implies(or(X0,X3),and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f661,f1391]) ).
fof(f1467,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f1007,f650]) ).
fof(f1469,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(implies(X0,X0),X1),equiv(X1,implies(X0,X0)))) ),
inference(resolution,[status(thm)],[f1007,f614]) ).
fof(f1470,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1007,f192]) ).
fof(f1471,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,implies(X1,X1)),implies(X0,implies(X1,X1)))) ),
inference(resolution,[status(thm)],[f1007,f964]) ).
fof(f1472,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(implies(X1,implies(X2,X2)),X0))) ),
inference(resolution,[status(thm)],[f1007,f626]) ).
fof(f1473,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1007,f635]) ).
fof(f1474,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))) ),
inference(resolution,[status(thm)],[f1007,f632]) ).
fof(f1475,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(implies(X0,implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f1007,f624]) ).
fof(f1476,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X3,X3))) ),
inference(paramodulation,[status(thm)],[f661,f1007]) ).
fof(f1477,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f550,f1007]) ).
fof(f1478,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(and(X1,implies(X2,X3)),implies(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f661,f1007]) ).
fof(f1480,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,not(and(and(not(X1),not(X2)),or(X1,X2))))) ),
inference(paramodulation,[status(thm)],[f659,f1007]) ).
fof(f1481,definition,
! [X0] :
( sQ92_spl
<=> ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1482,plain,
! [X0] :
( ~ sQ92_spl
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f1481]) ).
fof(f1484,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| sQ91_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1470,f1481,f1113,f247,f236,f191]) ).
fof(f1488,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ79_spl
| ~ sQ83_spl
| or(and(X0,or(X1,and(X2,not(X3)))),X4) = implies(implies(X0,and(not(X1),implies(X2,X3))),X4) ),
inference(paramodulation,[status(thm)],[f550,f664]) ).
fof(f1490,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ83_spl
| ~ sQ79_spl
| or(and(X0,implies(X1,and(X2,implies(X3,and(X4,not(X5)))))),X6) = implies(implies(X0,and(X1,implies(X2,and(X3,implies(X4,X5))))),X6) ),
inference(paramodulation,[status(thm)],[f609,f664]) ).
fof(f1494,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,implies(X2,X3))),implies(X4,and(X5,not(X6)))),implies(and(X4,implies(X5,X6)),and(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f664,f660]) ).
fof(f1497,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,implies(X2,X3))),implies(X4,X5)),implies(and(X4,not(X5)),and(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f664,f648]) ).
fof(f1501,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,implies(X2,X3))),not(not(X4))),or(X4,and(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f664,f649]) ).
fof(f1503,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(X4,and(X0,implies(X1,and(X2,not(X3))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),not(X4))) ),
inference(paramodulation,[status(thm)],[f664,f647]) ).
fof(f1504,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,and(X2,implies(X3,X4))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f664,f636]) ).
fof(f1505,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(and(X0,implies(X1,and(X2,not(X3)))),X4),implies(or(X5,X4),implies(implies(implies(X0,and(X1,implies(X2,X3))),not(X5)),X4)))) ),
inference(paramodulation,[status(thm)],[f664,f623]) ).
fof(f1506,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,implies(X2,X3))),not(X4)),implies(X4,and(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f664,f547]) ).
fof(f1522,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(X2,implies(X3,X4))),X0))) ),
inference(paramodulation,[status(thm)],[f664,f314]) ).
fof(f1523,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(X0,implies(X1,and(X2,not(X3)))),implies(implies(X0,and(X1,implies(X2,X3))),X4))) ),
inference(paramodulation,[status(thm)],[f664,f303]) ).
fof(f1524,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(and(X0,implies(X1,and(X2,not(X3)))),X4),implies(implies(X5,X4),implies(implies(implies(X0,and(X1,implies(X2,X3))),X5),X4)))) ),
inference(paramodulation,[status(thm)],[f664,f325]) ).
fof(f1579,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,not(X2))),X3),implies(implies(implies(X1,X2),not(X0)),X3))) ),
inference(resolution,[status(thm)],[f666,f650]) ).
fof(f1580,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(X0,implies(X1,and(X2,not(X3)))),implies(or(implies(implies(X2,X3),not(X1)),X0),implies(X1,and(X2,not(X3)))))) ),
inference(resolution,[status(thm)],[f666,f621]) ).
fof(f1581,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,and(X1,not(X2))),implies(implies(X1,X2),not(X0))),equiv(implies(implies(X1,X2),not(X0)),implies(X0,and(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f666,f614]) ).
fof(f1583,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(and(implies(implies(implies(X0,X1),not(X2)),implies(X2,and(X0,not(X1)))),implies(implies(implies(X0,X1),not(X2)),implies(X2,and(X0,not(X1)))))) ),
inference(resolution,[status(thm)],[f666,f964]) ).
fof(f1584,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(X0,and(implies(implies(implies(X1,X2),not(X3)),implies(X3,and(X1,not(X2)))),X0))) ),
inference(resolution,[status(thm)],[f666,f626]) ).
fof(f1585,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,implies(implies(implies(X1,X2),not(X3)),implies(X3,and(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f666,f635]) ).
fof(f1586,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,X2),not(X3)),implies(X3,and(X1,not(X2)))))) ),
inference(resolution,[status(thm)],[f666,f632]) ).
fof(f1587,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(or(implies(implies(implies(X0,X1),not(X2)),implies(X2,and(X0,not(X1)))),X3)) ),
inference(resolution,[status(thm)],[f666,f624]) ).
fof(f1595,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,X1),not(implies(X2,and(X3,not(X4))))),or(and(X2,implies(X3,X4)),and(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f661,f666]) ).
fof(f1601,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),X3),implies(implies(implies(X1,X2),not(X0)),X3))) ),
inference(forward_demodulation,[status(thm)],[f661,f1579]) ).
fof(f1602,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),implies(implies(X1,X2),not(X0))),equiv(implies(implies(X1,X2),not(X0)),implies(X0,and(X1,not(X2)))))) ),
inference(forward_demodulation,[status(thm)],[f661,f1581]) ).
fof(f1615,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(implies(X0,X0))) ),
inference(resolution,[status(thm)],[f1008,f613]) ).
fof(f1616,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(implies(X0,X0),X1),or(implies(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f1008,f964]) ).
fof(f1617,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(implies(X1,X1),X2),X0))) ),
inference(resolution,[status(thm)],[f1008,f626]) ).
fof(f1618,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f1008,f635]) ).
fof(f1619,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(implies(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f1008,f632]) ).
fof(f1620,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(implies(X0,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f1008,f624]) ).
fof(f1621,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))),X3)) ),
inference(paramodulation,[status(thm)],[f661,f1008]) ).
fof(f1623,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(not(and(and(not(X0),not(X1)),or(X0,X1))),X2)) ),
inference(paramodulation,[status(thm)],[f659,f1008]) ).
fof(f1624,definition,
! [X0] :
( sQ93_spl
<=> ~ is_a_theorem(not(implies(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1625,plain,
! [X0] :
( ~ sQ93_spl
| ~ is_a_theorem(not(implies(X0,X0))) ),
inference(component_clause,[status(thm)],[f1624]) ).
fof(f1627,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| sQ89_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1615,f1624,f919,f247,f236,f302,f191,f494,f480]) ).
fof(f1628,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ sQ89_spl
| X0 = X1 ),
inference(backward_subsumption_resolution,[status(thm)],[f211,f920]) ).
fof(f1629,plain,
( sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f572,f920]) ).
fof(f1630,plain,
( sQ66_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f434,f920]) ).
fof(f1631,plain,
( sQ71_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f453,f920]) ).
fof(f1632,plain,
( sQ74_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f464,f920]) ).
fof(f1633,plain,
( sQ55_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f575,f920]) ).
fof(f1634,plain,
( sQ77_spl
| ~ sQ89_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f475,f920]) ).
fof(f1635,plain,
( sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1629]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f964,f1009]) ).
fof(f1657,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f964,f954]) ).
fof(f1739,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f550,f237]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ93_spl
| ~ is_a_theorem(not(or(X0,not(X0)))) ),
inference(paramodulation,[status(thm)],[f550,f1625]) ).
fof(f1771,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f509,f630]) ).
fof(f1772,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f509,f656]) ).
fof(f1773,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f509,f292]) ).
fof(f1774,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f509,f369]) ).
fof(f1775,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f509,f281]) ).
fof(f1776,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f509,f270]) ).
fof(f1824,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f614,f954]) ).
fof(f1854,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f550,f1007]) ).
fof(f1860,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f637,f358]) ).
fof(f1862,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f637,f259]) ).
fof(f1863,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(X0,X0))) ),
inference(resolution,[status(thm)],[f637,f292]) ).
fof(f1873,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(or(equiv(X1,X1),X2),X0))) ),
inference(resolution,[status(thm)],[f1101,f626]) ).
fof(f1874,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(equiv(X0,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f1101,f624]) ).
fof(f1875,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f1101,f635]) ).
fof(f1876,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f1101,f632]) ).
fof(f1877,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(or(equiv(X0,X0),X1),or(equiv(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f1101,f964]) ).
fof(f1878,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(or(X1,equiv(X2,X2)),X0))) ),
inference(resolution,[status(thm)],[f1099,f626]) ).
fof(f1879,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(X0,equiv(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f1099,f624]) ).
fof(f1880,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,or(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1099,f635]) ).
fof(f1881,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,or(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1099,f632]) ).
fof(f1882,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(or(X0,equiv(X1,X1)),or(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f1099,f964]) ).
fof(f1883,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(implies(equiv(X0,X0),X1),equiv(X1,equiv(X0,X0)))) ),
inference(resolution,[status(thm)],[f1100,f614]) ).
fof(f1884,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(implies(equiv(X0,X0),X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f1100,f650]) ).
fof(f1886,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(equiv(X1,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1100,f192]) ).
fof(f1887,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(implies(X1,equiv(X2,X2)),X0))) ),
inference(resolution,[status(thm)],[f1100,f626]) ).
fof(f1888,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(implies(X0,equiv(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f1100,f624]) ).
fof(f1889,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1100,f635]) ).
fof(f1890,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,implies(X1,equiv(X2,X2)))) ),
inference(resolution,[status(thm)],[f1100,f632]) ).
fof(f1891,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(implies(X0,equiv(X1,X1)),implies(X0,equiv(X1,X1)))) ),
inference(resolution,[status(thm)],[f1100,f964]) ).
fof(f1892,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f550,f1100]) ).
fof(f1893,definition,
! [X1] :
( sQ94_spl
<=> is_a_theorem(equiv(X1,X1)) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1894,plain,
! [X0] :
( ~ sQ94_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(component_clause,[status(thm)],[f1893]) ).
fof(f1896,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ94_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1886,f1481,f1893,f508,f368,f247,f236,f191]) ).
fof(f1897,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1101,f1482]) ).
fof(f1898,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1008,f1482]) ).
fof(f1899,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1099,f1482]) ).
fof(f1900,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1006,f1482]) ).
fof(f1901,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1009,f1482]) ).
fof(f1902,plain,
( ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f248,f1482]) ).
fof(f1903,plain,
( ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f358,f1482]) ).
fof(f1904,plain,
( ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f325,f1482]) ).
fof(f1905,plain,
( ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f259,f1482]) ).
fof(f1906,plain,
( ~ sQ43_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f347,f1482]) ).
fof(f1907,plain,
( ~ sQ40_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f336,f1482]) ).
fof(f1908,plain,
( ~ sQ25_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f281,f1482]) ).
fof(f1909,plain,
( ~ sQ22_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f270,f1482]) ).
fof(f1910,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f547,f1482]) ).
fof(f1911,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1100,f1482]) ).
fof(f1912,plain,
( ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f303,f1482]) ).
fof(f1913,plain,
( ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f314,f1482]) ).
fof(f1914,plain,
( ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f292,f1482]) ).
fof(f1915,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1007,f1482]) ).
fof(f1916,plain,
( ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f237,f1482]) ).
fof(f1917,plain,
( ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f369,f1482]) ).
fof(f1918,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f954,f1482]) ).
fof(f1919,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1093,f1482]) ).
fof(f1920,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1245,f1482]) ).
fof(f1921,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1230,f1482]) ).
fof(f1922,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ25_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1231,f1482]) ).
fof(f1923,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1238,f1482]) ).
fof(f1924,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1874,f1482]) ).
fof(f1925,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ22_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f912,f1482]) ).
fof(f1926,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1620,f1482]) ).
fof(f1927,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1621,f1482]) ).
fof(f1928,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1879,f1482]) ).
fof(f1929,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f847,f1482]) ).
fof(f1930,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f901,f1482]) ).
fof(f1931,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f890,f1482]) ).
fof(f1932,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f930,f1482]) ).
fof(f1933,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1107,f1482]) ).
fof(f1934,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1055,f1482]) ).
fof(f1935,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f849,f1482]) ).
fof(f1936,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1217,f1482]) ).
fof(f1937,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1447,f1482]) ).
fof(f1938,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f904,f1482]) ).
fof(f1939,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1411,f1482]) ).
fof(f1940,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1390,f1482]) ).
fof(f1941,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1393,f1482]) ).
fof(f1942,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1394,f1482]) ).
fof(f1943,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f893,f1482]) ).
fof(f1944,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f933,f1482]) ).
fof(f1945,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1057,f1482]) ).
fof(f1946,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1163,f1482]) ).
fof(f1947,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1292,f1482]) ).
fof(f1948,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1319,f1482]) ).
fof(f1949,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1333,f1482]) ).
fof(f1950,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1205,f1482]) ).
fof(f1951,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1221,f1482]) ).
fof(f1952,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1212,f1482]) ).
fof(f1953,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1219,f1482]) ).
fof(f1954,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1229,f1482]) ).
fof(f1955,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1623,f1482]) ).
fof(f1956,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1270,f1482]) ).
fof(f1957,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1016,f1482]) ).
fof(f1958,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f695,f1482]) ).
fof(f1959,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f977,f1482]) ).
fof(f1960,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1354,f1482]) ).
fof(f1961,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f997,f1482]) ).
fof(f1962,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f760,f1482]) ).
fof(f1963,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f837,f1482]) ).
fof(f1964,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1125,f1482]) ).
fof(f1965,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f808,f1482]) ).
fof(f1966,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f798,f1482]) ).
fof(f1967,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f698,f1482]) ).
fof(f1968,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f699,f1482]) ).
fof(f1969,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1587,f1482]) ).
fof(f1970,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f700,f1482]) ).
fof(f1971,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f779,f1482]) ).
fof(f1972,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1139,f1482]) ).
fof(f1973,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f701,f1482]) ).
fof(f1974,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f702,f1482]) ).
fof(f1975,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f703,f1482]) ).
fof(f1976,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f858,f1482]) ).
fof(f1977,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f697,f1482]) ).
fof(f1978,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f696,f1482]) ).
fof(f1979,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1888,f1482]) ).
fof(f1980,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f704,f1482]) ).
fof(f1981,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f705,f1482]) ).
fof(f1982,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1475,f1482]) ).
fof(f1983,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f943,f1482]) ).
fof(f1984,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f706,f1482]) ).
fof(f1985,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f707,f1482]) ).
fof(f1986,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f968,f1482]) ).
fof(f1987,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1875,f1482]) ).
fof(f1988,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f910,f1482]) ).
fof(f1989,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1618,f1482]) ).
fof(f1990,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1403,f1482]) ).
fof(f1991,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1418,f1482]) ).
fof(f1992,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f625,f1482]) ).
fof(f1993,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1880,f1482]) ).
fof(f1994,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f845,f1482]) ).
fof(f1995,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f899,f1482]) ).
fof(f1996,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f888,f1482]) ).
fof(f1997,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f928,f1482]) ).
fof(f1998,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1105,f1482]) ).
fof(f1999,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1053,f1482]) ).
fof(f2000,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f636,f1482]) ).
fof(f2001,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1014,f1482]) ).
fof(f2002,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f740,f1482]) ).
fof(f2003,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f975,f1482]) ).
fof(f2004,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1352,f1482]) ).
fof(f2005,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f995,f1482]) ).
fof(f2006,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f758,f1482]) ).
fof(f2007,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f835,f1482]) ).
fof(f2008,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1123,f1482]) ).
fof(f2009,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f741,f1482]) ).
fof(f2010,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f742,f1482]) ).
fof(f2011,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f806,f1482]) ).
fof(f2012,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f796,f1482]) ).
fof(f2013,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f743,f1482]) ).
fof(f2014,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f744,f1482]) ).
fof(f2015,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1585,f1482]) ).
fof(f2016,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f745,f1482]) ).
fof(f2017,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f777,f1482]) ).
fof(f2018,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1137,f1482]) ).
fof(f2019,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f746,f1482]) ).
fof(f2020,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f747,f1482]) ).
fof(f2021,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f748,f1482]) ).
fof(f2022,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f856,f1482]) ).
fof(f2023,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1889,f1482]) ).
fof(f2024,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f749,f1482]) ).
fof(f2025,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f750,f1482]) ).
fof(f2026,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1473,f1482]) ).
fof(f2027,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f941,f1482]) ).
fof(f2028,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f751,f1482]) ).
fof(f2029,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f752,f1482]) ).
fof(f2030,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f633,f1482]) ).
fof(f2031,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f627,f1482]) ).
fof(f2032,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f966,f1482]) ).
fof(f2033,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1237,f1482]) ).
fof(f2034,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1272,f1482]) ).
fof(f2035,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1243,f1482]) ).
fof(f2036,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ40_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f809,f1482]) ).
fof(f2037,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1192,f1482]) ).
fof(f2038,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1263,f1482]) ).
fof(f2039,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1193,f1482]) ).
fof(f2040,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f620,f1482]) ).
fof(f2041,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ43_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f799,f1482]) ).
fof(f2042,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1262,f1482]) ).
fof(f2043,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f618,f1482]) ).
fof(f2044,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1259,f1482]) ).
fof(f2045,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f668,f1482]) ).
fof(f2046,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1189,f1482]) ).
fof(f2047,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1523,f1482]) ).
fof(f2048,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1398,f1482]) ).
fof(f2049,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1602,f1482]) ).
fof(f2050,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1601,f1482]) ).
fof(f2051,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f769,f1482]) ).
fof(f2052,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f840,f1482]) ).
fof(f2053,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1423,f1482]) ).
fof(f2054,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1206,f1482]) ).
fof(f2055,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1389,f1482]) ).
fof(f2056,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1018,f1482]) ).
fof(f2057,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f649,f1482]) ).
fof(f2058,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f762,f1482]) ).
fof(f2059,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1127,f1482]) ).
fof(f2060,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1404,f1482]) ).
fof(f2061,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1421,f1482]) ).
fof(f2062,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1357,f1482]) ).
fof(f2063,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f999,f1482]) ).
fof(f2064,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f642,f1482]) ).
fof(f2065,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1359,f1482]) ).
fof(f2066,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1000,f1482]) ).
fof(f2067,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1399,f1482]) ).
fof(f2068,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1417,f1482]) ).
fof(f2069,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f660,f1482]) ).
fof(f2070,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1200,f1482]) ).
fof(f2071,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f648,f1482]) ).
fof(f2072,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1298,f1482]) ).
fof(f2073,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1387,f1482]) ).
fof(f2074,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1424,f1482]) ).
fof(f2075,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f839,f1482]) ).
fof(f2076,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f615,f1482]) ).
fof(f2077,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f622,f1482]) ).
fof(f2078,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f654,f1482]) ).
fof(f2079,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1884,f1482]) ).
fof(f2080,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1883,f1482]) ).
fof(f2081,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1332,f1482]) ).
fof(f2082,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1220,f1482]) ).
fof(f2083,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f669,f1482]) ).
fof(f2084,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f861,f1482]) ).
fof(f2085,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1388,f1482]) ).
fof(f2086,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1505,f1482]) ).
fof(f2087,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1524,f1482]) ).
fof(f2088,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f963,f1482]) ).
fof(f2089,plain,
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1041,f1482]) ).
fof(f2090,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f938,f1482]) ).
fof(f2091,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1044,f1482]) ).
fof(f2092,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f804,f1482]) ).
fof(f2093,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f794,f1482]) ).
fof(f2094,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f972,f1482]) ).
fof(f2095,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1011,f1482]) ).
fof(f2096,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1370,f1482]) ).
fof(f2097,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1278,f1482]) ).
fof(f2098,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1321,f1482]) ).
fof(f2099,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f721,f1482]) ).
fof(f2100,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f722,f1482]) ).
fof(f2101,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1024,f1482]) ).
fof(f2102,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1025,f1482]) ).
fof(f2103,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1031,f1482]) ).
fof(f2104,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1032,f1482]) ).
fof(f2105,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1045,f1482]) ).
fof(f2106,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1046,f1482]) ).
fof(f2107,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f756,f1482]) ).
fof(f2108,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1027,f1482]) ).
fof(f2109,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f833,f1482]) ).
fof(f2110,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1028,f1482]) ).
fof(f2111,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f716,f1482]) ).
fof(f2112,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1038,f1482]) ).
fof(f2113,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f717,f1482]) ).
fof(f2114,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1039,f1482]) ).
fof(f2115,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f718,f1482]) ).
fof(f2116,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1040,f1482]) ).
fof(f2117,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1119,f1482]) ).
fof(f2118,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1117,f1482]) ).
fof(f2119,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f775,f1482]) ).
fof(f2120,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1035,f1482]) ).
fof(f2121,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f854,f1482]) ).
fof(f2122,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1037,f1482]) ).
fof(f2123,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1133,f1482]) ).
fof(f2124,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1131,f1482]) ).
fof(f2125,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f992,f1482]) ).
fof(f2126,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1023,f1482]) ).
fof(f2127,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1348,f1482]) ).
fof(f2128,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1346,f1482]) ).
fof(f2129,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1494,f1482]) ).
fof(f2130,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1497,f1482]) ).
fof(f2131,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1501,f1482]) ).
fof(f2132,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1506,f1482]) ).
fof(f2133,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f719,f1482]) ).
fof(f2134,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1042,f1482]) ).
fof(f2135,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f710,f1482]) ).
fof(f2136,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f713,f1482]) ).
fof(f2137,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f714,f1482]) ).
fof(f2138,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f715,f1482]) ).
fof(f2139,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1355,f1482]) ).
fof(f2140,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f998,f1482]) ).
fof(f2141,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1017,f1482]) ).
fof(f2142,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1595,f1482]) ).
fof(f2143,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1213,f1482]) ).
fof(f2144,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1214,f1482]) ).
fof(f2145,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1173,f1482]) ).
fof(f2146,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f666,f1482]) ).
fof(f2147,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f720,f1482]) ).
fof(f2148,plain,
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1469,f1482]) ).
fof(f2149,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1026,f1482]) ).
fof(f2150,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1033,f1482]) ).
fof(f2151,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1034,f1482]) ).
fof(f2152,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1036,f1482]) ).
fof(f2153,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1043,f1482]) ).
fof(f2154,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1467,f1482]) ).
fof(f2155,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1210,f1482]) ).
fof(f2156,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f711,f1482]) ).
fof(f2157,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f712,f1482]) ).
fof(f2158,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f962,f1482]) ).
fof(f2159,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f937,f1482]) ).
fof(f2160,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f818,f1482]) ).
fof(f2161,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f819,f1482]) ).
fof(f2162,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f971,f1482]) ).
fof(f2163,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1010,f1482]) ).
fof(f2164,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f829,f1482]) ).
fof(f2165,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f830,f1482]) ).
fof(f2166,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f815,f1482]) ).
fof(f2167,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f832,f1482]) ).
fof(f2168,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f824,f1482]) ).
fof(f2169,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f825,f1482]) ).
fof(f2170,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f826,f1482]) ).
fof(f2171,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1118,f1482]) ).
fof(f2172,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f822,f1482]) ).
fof(f2173,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f853,f1482]) ).
fof(f2174,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1132,f1482]) ).
fof(f2175,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f991,f1482]) ).
fof(f2176,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1347,f1482]) ).
fof(f2177,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f786,f1482]) ).
fof(f2178,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1141,f1482]) ).
fof(f2179,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1580,f1482]) ).
fof(f2180,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f827,f1482]) ).
fof(f2181,plain,
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1211,f1482]) ).
fof(f2182,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f814,f1482]) ).
fof(f2183,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f820,f1482]) ).
fof(f2184,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f821,f1482]) ).
fof(f2185,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f823,f1482]) ).
fof(f2186,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f828,f1482]) ).
fof(f2187,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1322,f1482]) ).
fof(f2188,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f616,f1482]) ).
fof(f2189,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f652,f1482]) ).
fof(f2190,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1316,f1482]) ).
fof(f2191,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1395,f1482]) ).
fof(f2192,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1029,f1482]) ).
fof(f2193,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1030,f1482]) ).
fof(f2194,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f862,f1482]) ).
fof(f2195,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f816,f1482]) ).
fof(f2196,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f817,f1482]) ).
fof(f2197,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f623,f1482]) ).
fof(f2198,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f950,f1482]) ).
fof(f2199,plain,
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1002,f1482]) ).
fof(f2200,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1271,f1482]) ).
fof(f2201,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1480,f1482]) ).
fof(f2202,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1876,f1482]) ).
fof(f2203,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f911,f1482]) ).
fof(f2204,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1619,f1482]) ).
fof(f2205,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f946,f1482]) ).
fof(f2206,plain,
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1478,f1482]) ).
fof(f2207,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1881,f1482]) ).
fof(f2208,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f846,f1482]) ).
fof(f2209,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f900,f1482]) ).
fof(f2210,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f889,f1482]) ).
fof(f2211,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f929,f1482]) ).
fof(f2212,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1106,f1482]) ).
fof(f2213,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1054,f1482]) ).
fof(f2214,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f628,f1482]) ).
fof(f2215,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1015,f1482]) ).
fof(f2216,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f727,f1482]) ).
fof(f2217,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f976,f1482]) ).
fof(f2218,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1353,f1482]) ).
fof(f2219,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f996,f1482]) ).
fof(f2220,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f759,f1482]) ).
fof(f2221,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f836,f1482]) ).
fof(f2222,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1124,f1482]) ).
fof(f2223,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f728,f1482]) ).
fof(f2224,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f729,f1482]) ).
fof(f2225,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f807,f1482]) ).
fof(f2226,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f797,f1482]) ).
fof(f2227,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f730,f1482]) ).
fof(f2228,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f731,f1482]) ).
fof(f2229,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1586,f1482]) ).
fof(f2230,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f732,f1482]) ).
fof(f2231,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f778,f1482]) ).
fof(f2232,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1138,f1482]) ).
fof(f2233,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f733,f1482]) ).
fof(f2234,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f734,f1482]) ).
fof(f2235,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f735,f1482]) ).
fof(f2236,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f857,f1482]) ).
fof(f2237,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1890,f1482]) ).
fof(f2238,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f736,f1482]) ).
fof(f2239,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f737,f1482]) ).
fof(f2240,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1474,f1482]) ).
fof(f2241,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f942,f1482]) ).
fof(f2242,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f738,f1482]) ).
fof(f2243,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f739,f1482]) ).
fof(f2244,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f967,f1482]) ).
fof(f2245,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1873,f1482]) ).
fof(f2246,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ22_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f909,f1482]) ).
fof(f2247,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1617,f1482]) ).
fof(f2248,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1878,f1482]) ).
fof(f2249,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f866,f1482]) ).
fof(f2250,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f898,f1482]) ).
fof(f2251,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f887,f1482]) ).
fof(f2252,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f927,f1482]) ).
fof(f2253,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1104,f1482]) ).
fof(f2254,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1052,f1482]) ).
fof(f2255,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1013,f1482]) ).
fof(f2256,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f867,f1482]) ).
fof(f2257,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f974,f1482]) ).
fof(f2258,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1351,f1482]) ).
fof(f2259,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f994,f1482]) ).
fof(f2260,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f868,f1482]) ).
fof(f2261,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f869,f1482]) ).
fof(f2262,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1122,f1482]) ).
fof(f2263,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f870,f1482]) ).
fof(f2264,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f871,f1482]) ).
fof(f2265,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f872,f1482]) ).
fof(f2266,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f873,f1482]) ).
fof(f2267,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f874,f1482]) ).
fof(f2268,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f875,f1482]) ).
fof(f2269,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1584,f1482]) ).
fof(f2270,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f876,f1482]) ).
fof(f2271,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1136,f1482]) ).
fof(f2272,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f877,f1482]) ).
fof(f2273,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f878,f1482]) ).
fof(f2274,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f879,f1482]) ).
fof(f2275,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f880,f1482]) ).
fof(f2276,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f881,f1482]) ).
fof(f2277,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1887,f1482]) ).
fof(f2278,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f882,f1482]) ).
fof(f2279,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f883,f1482]) ).
fof(f2280,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1472,f1482]) ).
fof(f2281,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f940,f1482]) ).
fof(f2282,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f884,f1482]) ).
fof(f2283,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f885,f1482]) ).
fof(f2284,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f965,f1482]) ).
fof(f2285,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1005,f1482]) ).
fof(f2286,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1098,f1482]) ).
fof(f2287,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1273,f1482]) ).
fof(f2288,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1877,f1482]) ).
fof(f2289,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1061,f1482]) ).
fof(f2290,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1616,f1482]) ).
fof(f2291,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1882,f1482]) ).
fof(f2292,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1063,f1482]) ).
fof(f2293,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1064,f1482]) ).
fof(f2294,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1103,f1482]) ).
fof(f2295,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1065,f1482]) ).
fof(f2296,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1066,f1482]) ).
fof(f2297,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1350,f1482]) ).
fof(f2298,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1067,f1482]) ).
fof(f2299,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1068,f1482]) ).
fof(f2300,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1069,f1482]) ).
fof(f2301,plain,
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1070,f1482]) ).
fof(f2302,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1071,f1482]) ).
fof(f2303,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1072,f1482]) ).
fof(f2304,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1121,f1482]) ).
fof(f2305,plain,
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1073,f1482]) ).
fof(f2306,plain,
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1074,f1482]) ).
fof(f2307,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1075,f1482]) ).
fof(f2308,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1076,f1482]) ).
fof(f2309,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1077,f1482]) ).
fof(f2310,plain,
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1078,f1482]) ).
fof(f2311,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1583,f1482]) ).
fof(f2312,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1079,f1482]) ).
fof(f2313,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1135,f1482]) ).
fof(f2314,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1080,f1482]) ).
fof(f2315,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1081,f1482]) ).
fof(f2316,plain,
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1082,f1482]) ).
fof(f2317,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1083,f1482]) ).
fof(f2318,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1084,f1482]) ).
fof(f2319,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1891,f1482]) ).
fof(f2320,plain,
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1085,f1482]) ).
fof(f2321,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1086,f1482]) ).
fof(f2322,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1087,f1482]) ).
fof(f2323,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1471,f1482]) ).
fof(f2324,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1088,f1482]) ).
fof(f2325,plain,
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1089,f1482]) ).
fof(f2326,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1090,f1482]) ).
fof(f2327,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1097,f1482]) ).
fof(f2328,plain,
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ92_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1334,f1482]) ).
fof(f2329,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f1897]) ).
fof(f2350,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f509,f630]) ).
fof(f2351,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(paramodulation,[status(thm)],[f509,f656]) ).
fof(f2366,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
inference(paramodulation,[status(thm)],[f509,f281]) ).
fof(f2368,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
inference(paramodulation,[status(thm)],[f509,f270]) ).
fof(f2386,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(or(equiv(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f624,f1894]) ).
fof(f2394,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
inference(paramodulation,[status(thm)],[f509,f292]) ).
fof(f2409,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f635,f1894]) ).
fof(f2424,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f632,f1894]) ).
fof(f2425,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(and(or(X0,not(X0)),or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f964,f1009]) ).
fof(f2438,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| is_a_theorem(and(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f964,f954]) ).
fof(f2439,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ49_spl
| is_a_theorem(and(equiv(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f964,f1894]) ).
fof(f2440,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(equiv(not(X0),not(X0))) ),
inference(forward_demodulation,[status(thm)],[f670,f2425]) ).
fof(f2441,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(equiv(X0,X0)) ),
inference(forward_demodulation,[status(thm)],[f509,f2438]) ).
fof(f2452,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f550,f237]) ).
fof(f2459,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(paramodulation,[status(thm)],[f509,f369]) ).
fof(f2464,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),X0))) ),
inference(paramodulation,[status(thm)],[f610,f314]) ).
fof(f2481,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(X1,not(X0)),equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f612,f292]) ).
fof(f2482,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(not(X0),X1),or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f612,f270]) ).
fof(f2483,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(not(X0),X1),implies(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f612,f281]) ).
fof(f2485,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(paramodulation,[status(thm)],[f612,f630]) ).
fof(f2495,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,not(X1)),implies(or(X1,X0),equiv(X0,not(X1))))) ),
inference(paramodulation,[status(thm)],[f611,f292]) ).
fof(f2496,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,not(X1)),implies(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f611,f270]) ).
fof(f2497,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,not(X1)),or(X1,X0))) ),
inference(paramodulation,[status(thm)],[f611,f281]) ).
fof(f2498,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,not(X1)))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f611,f656]) ).
fof(f2511,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),implies(X0,X0))) ),
inference(resolution,[status(thm)],[f637,f259]) ).
fof(f2512,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f637,f358]) ).
fof(f2513,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(X0,X0))) ),
inference(resolution,[status(thm)],[f637,f292]) ).
fof(f2541,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f614,f954]) ).
fof(f2578,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(paramodulation,[status(thm)],[f550,f1100]) ).
fof(f2588,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(paramodulation,[status(thm)],[f550,f1007]) ).
fof(f2631,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(implies(X0,and(equiv(X1,X1),X0))) ),
inference(resolution,[status(thm)],[f626,f1894]) ).
fof(f2632,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ43_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f617,f1894]) ).
fof(f2633,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ40_spl
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f619,f1894]) ).
fof(f2635,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(equiv(X0,X0))) ),
inference(resolution,[status(thm)],[f613,f1101]) ).
fof(f2637,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(equiv(X1,X1))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f613,f1099]) ).
fof(f2641,definition,
! [X0] :
( sQ95_spl
<=> ~ is_a_theorem(not(equiv(X0,X0))) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f2642,plain,
! [X0] :
( ~ sQ95_spl
| ~ is_a_theorem(not(equiv(X0,X0))) ),
inference(component_clause,[status(thm)],[f2641]) ).
fof(f2644,plain,
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ89_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2635,f2641,f919,f494,f480,f508,f368,f247,f236,f302,f191]) ).
fof(f2646,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| sQ94_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f2637,f1110,f1893,f494,f480,f508,f368,f247,f236,f313,f191]) ).
fof(f2648,plain,
( sQ66_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1630]) ).
fof(f2668,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,X2),not(X0)))) ),
inference(paramodulation,[status(thm)],[f610,f636]) ).
fof(f2680,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f550,f633]) ).
fof(f2686,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ93_spl
| ~ is_a_theorem(not(or(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f609,f1753]) ).
fof(f2691,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(X1)
| ~ is_a_theorem(not(or(X0,not(X0)))) ),
inference(resolution,[status(thm)],[f1055,f613]) ).
fof(f2692,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(or(X1,not(X1)),X2),X0))) ),
inference(resolution,[status(thm)],[f1055,f626]) ).
fof(f2693,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(or(X0,not(X0)),X1),or(or(X0,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f1055,f964]) ).
fof(f2694,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(or(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f1055,f632]) ).
fof(f2695,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(or(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f1055,f635]) ).
fof(f2696,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(or(X0,not(X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f1055,f624]) ).
fof(f2700,definition,
! [X0] :
( sQ96_spl
<=> ~ is_a_theorem(not(or(X0,not(X0)))) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f2701,plain,
! [X0] :
( ~ sQ96_spl
| ~ is_a_theorem(not(or(X0,not(X0)))) ),
inference(component_clause,[status(thm)],[f2700]) ).
fof(f2703,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| sQ89_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f2691,f2700,f919,f247,f236,f302,f191,f494,f480]) ).
fof(f2706,plain,
( sQ71_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1631]) ).
fof(f2723,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| is_a_theorem(or(X0,X1))
| ~ is_a_theorem(equiv(not(X0),X1)) ),
inference(resolution,[status(thm)],[f620,f192]) ).
fof(f2737,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| is_a_theorem(or(X1,X0))
| ~ is_a_theorem(equiv(X0,not(X1))) ),
inference(resolution,[status(thm)],[f618,f192]) ).
fof(f2823,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X1,not(X1)))
| ~ is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1053,f613]) ).
fof(f2824,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(or(X1,or(X2,not(X2))),X0))) ),
inference(resolution,[status(thm)],[f1053,f626]) ).
fof(f2825,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(and(or(X0,or(X1,not(X1))),or(X0,or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f1053,f964]) ).
fof(f2826,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,or(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1053,f632]) ).
fof(f2827,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1053,f635]) ).
fof(f2828,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(or(X0,or(X1,not(X1))),X2)) ),
inference(resolution,[status(thm)],[f1053,f624]) ).
fof(f2833,definition,
! [X1] :
( sQ97_spl
<=> is_a_theorem(or(X1,not(X1))) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f2834,plain,
! [X0] :
( ~ sQ97_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(component_clause,[status(thm)],[f2833]) ).
fof(f2836,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| sQ97_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f2823,f1110,f2833,f247,f236,f313,f191,f494,f480]) ).
fof(f2840,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(or(X0,not(X0)),X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f1054,f650]) ).
fof(f2841,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(or(X0,not(X0)),X1),equiv(X1,or(X0,not(X0))))) ),
inference(resolution,[status(thm)],[f1054,f614]) ).
fof(f2842,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(or(X1,not(X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1054,f192]) ).
fof(f2843,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,and(implies(X1,or(X2,not(X2))),X0))) ),
inference(resolution,[status(thm)],[f1054,f626]) ).
fof(f2844,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(and(implies(X0,or(X1,not(X1))),implies(X0,or(X1,not(X1))))) ),
inference(resolution,[status(thm)],[f1054,f964]) ).
fof(f2845,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(implies(X0,implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1054,f632]) ).
fof(f2846,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,implies(X1,or(X2,not(X2))))) ),
inference(resolution,[status(thm)],[f1054,f635]) ).
fof(f2847,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| is_a_theorem(or(implies(X0,or(X1,not(X1))),X2)) ),
inference(resolution,[status(thm)],[f1054,f624]) ).
fof(f2848,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,or(X1,not(X1)))) ),
inference(paramodulation,[status(thm)],[f550,f1054]) ).
fof(f2852,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| sQ97_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f2842,f1481,f2833,f247,f494,f480,f236,f191]) ).
fof(f2977,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,implies(implies(X1,and(X2,implies(X3,X4))),not(X0)))) ),
inference(paramodulation,[status(thm)],[f664,f636]) ).
fof(f2996,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,implies(implies(X1,and(X2,implies(X3,X4))),X0))) ),
inference(paramodulation,[status(thm)],[f664,f314]) ).
fof(f3071,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),equiv(X3,X3))) ),
inference(paramodulation,[status(thm)],[f661,f1100]) ).
fof(f3075,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),not(X0)))) ),
inference(paramodulation,[status(thm)],[f661,f633]) ).
fof(f3083,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),or(X3,not(X3)))) ),
inference(paramodulation,[status(thm)],[f661,f1054]) ).
fof(f3087,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),implies(X3,X3))) ),
inference(paramodulation,[status(thm)],[f661,f1007]) ).
fof(f3105,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,or(and(X1,implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f661,f237]) ).
fof(f3145,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| implies(not(equiv(X0,X1)),and(and(X1,not(X0)),not(implies(X0,X1)))) = not(equiv(implies(X0,X1),and(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f658,f658]) ).
fof(f3157,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X2,and(X1,not(X0))),implies(or(implies(X0,X1),X2),and(X1,not(X0)))))
| ~ is_a_theorem(not(equiv(X0,X1))) ),
inference(paramodulation,[status(thm)],[f658,f621]) ).
fof(f3166,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,and(X1,not(X0))),not(equiv(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f658,f259]) ).
fof(f3167,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(not(equiv(X1,X2)),implies(X0,and(X2,not(X1)))))) ),
inference(paramodulation,[status(thm)],[f658,f259]) ).
fof(f3168,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(and(X1,not(X0)),X2),implies(implies(X0,X1),X2)))) ),
inference(paramodulation,[status(thm)],[f658,f259]) ).
fof(f3169,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(X1,not(X2))),implies(not(equiv(X2,X1)),implies(or(X0,implies(X2,X1)),and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f658,f325]) ).
fof(f3170,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(X2,and(X1,not(X0))),implies(or(implies(X0,X1),X2),and(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f658,f325]) ).
fof(f3171,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X0,not(X1)),implies(X1,X0)),implies(not(equiv(X1,X0)),equiv(and(X0,not(X1)),implies(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f658,f358]) ).
fof(f3172,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(not(equiv(X0,X1)),implies(implies(and(X1,not(X0)),implies(X0,X1)),equiv(implies(X0,X1),and(X1,not(X0)))))) ),
inference(paramodulation,[status(thm)],[f658,f358]) ).
fof(f3210,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ88_spl
| ~ is_a_theorem(not(not(and(and(and(not(X0),not(X1)),X2),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f917]) ).
fof(f3230,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ93_spl
| ~ is_a_theorem(not(not(and(and(not(X0),not(X1)),or(X0,X1))))) ),
inference(paramodulation,[status(thm)],[f659,f1625]) ).
fof(f3317,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(equiv(X0,X0),X1))) ),
inference(resolution,[status(thm)],[f1874,f613]) ).
fof(f3318,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,and(or(or(equiv(X1,X1),X2),X3),X0))) ),
inference(resolution,[status(thm)],[f1874,f626]) ).
fof(f3319,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ87_spl
| is_a_theorem(and(or(or(equiv(X0,X0),X1),X2),or(or(equiv(X0,X0),X1),X2))) ),
inference(resolution,[status(thm)],[f1874,f964]) ).
fof(f3320,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(implies(X0,or(or(equiv(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f1874,f632]) ).
fof(f3321,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(X0,or(or(equiv(X1,X1),X2),X3))) ),
inference(resolution,[status(thm)],[f1874,f635]) ).
fof(f3322,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| is_a_theorem(or(or(or(equiv(X0,X0),X1),X2),X3)) ),
inference(resolution,[status(thm)],[f1874,f624]) ).
fof(f3323,definition,
! [X0,X1] :
( sQ98_spl
<=> ~ is_a_theorem(not(or(equiv(X0,X0),X1))) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f3324,plain,
! [X0,X1] :
( ~ sQ98_spl
| ~ is_a_theorem(not(or(equiv(X0,X0),X1))) ),
inference(component_clause,[status(thm)],[f3323]) ).
fof(f3326,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| sQ89_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f3317,f3323,f919,f508,f368,f247,f236,f302,f191,f494,f480]) ).
fof(f3327,plain,
( sQ74_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1632]) ).
fof(f3333,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,not(not(not(X0))))),implies(implies(X1,and(X1,not(not(not(X0))))),not(equiv(not(not(X0)),X1))))) ),
inference(paramodulation,[status(thm)],[f686,f622]) ).
fof(f3334,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(not(X1),not(not(X0)))),implies(or(X1,and(not(X1),not(not(X0)))),not(equiv(not(X0),not(X1)))))) ),
inference(paramodulation,[status(thm)],[f686,f623]) ).
fof(f3335,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(X1,not(not(X0)))),implies(implies(X1,and(X1,not(not(X0)))),not(equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f686,f325]) ).
fof(f3339,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| implies(not(equiv(not(X0),X1)),and(and(X1,not(not(X0))),not(or(X0,X1)))) = not(equiv(or(X0,X1),and(X1,not(not(X0))))) ),
inference(paramodulation,[status(thm)],[f686,f658]) ).
fof(f3340,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(equiv(not(X0),X1)),implies(or(X2,and(X1,not(not(X0)))),implies(or(or(X0,X1),not(X2)),and(X1,not(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f686,f623]) ).
fof(f3341,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),not(X2)),implies(or(X2,and(X1,not(not(X0)))),not(equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f686,f652]) ).
fof(f3342,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(not(equiv(not(X1),X2)),or(X0,and(X2,not(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f686,f654]) ).
fof(f3343,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,not(not(X2)))),implies(not(equiv(not(X2),X1)),implies(or(not(X0),or(X2,X1)),and(X1,not(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f686,f622]) ).
fof(f3345,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X2,and(X1,not(not(X0)))),implies(or(or(X0,X1),X2),and(X1,not(not(X0))))))
| ~ is_a_theorem(not(equiv(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f686,f621]) ).
fof(f3346,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(and(X1,not(not(X0))),X2),implies(or(X0,X1),X2)))
| ~ is_a_theorem(not(equiv(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f686,f650]) ).
fof(f3347,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X1,not(not(X0))),or(X0,X1)),equiv(or(X0,X1),and(X1,not(not(X0))))))
| ~ is_a_theorem(not(equiv(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f686,f614]) ).
fof(f3348,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(implies(or(X0,X1),and(X1,not(not(X0)))))
| ~ is_a_theorem(implies(or(X0,X1),not(equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f686,f637]) ).
fof(f3351,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ10_spl
| is_a_theorem(implies(or(and(X0,not(not(X1))),not(or(X1,X0))),not(equiv(not(X1),X0)))) ),
inference(paramodulation,[status(thm)],[f686,f547]) ).
fof(f3352,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ40_spl
| is_a_theorem(implies(equiv(or(X0,X1),and(X1,not(not(X0)))),not(equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f686,f336]) ).
fof(f3353,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ43_spl
| is_a_theorem(implies(equiv(and(X0,not(not(X1))),or(X1,X0)),not(equiv(not(X1),X0)))) ),
inference(paramodulation,[status(thm)],[f686,f347]) ).
fof(f3354,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),implies(implies(X2,and(X1,not(not(X0)))),not(equiv(not(X0),X1))))) ),
inference(paramodulation,[status(thm)],[f686,f259]) ).
fof(f3355,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),implies(not(equiv(not(X1),X2)),implies(X0,and(X2,not(not(X1))))))) ),
inference(paramodulation,[status(thm)],[f686,f259]) ).
fof(f3356,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(not(equiv(not(X0),X1)),implies(implies(and(X1,not(not(X0))),X2),implies(or(X0,X1),X2)))) ),
inference(paramodulation,[status(thm)],[f686,f259]) ).
fof(f3357,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,and(X1,not(not(X2)))),implies(not(equiv(not(X2),X1)),implies(or(X0,or(X2,X1)),and(X1,not(not(X2))))))) ),
inference(paramodulation,[status(thm)],[f686,f325]) ).
fof(f3358,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(not(equiv(not(X0),X1)),implies(implies(X2,and(X1,not(not(X0)))),implies(or(or(X0,X1),X2),and(X1,not(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f686,f325]) ).
fof(f3359,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X0,not(not(X1))),or(X1,X0)),implies(not(equiv(not(X1),X0)),equiv(and(X0,not(not(X1))),or(X1,X0))))) ),
inference(paramodulation,[status(thm)],[f686,f358]) ).
fof(f3360,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ46_spl
| is_a_theorem(implies(not(equiv(not(X0),X1)),implies(implies(and(X1,not(not(X0))),or(X0,X1)),equiv(or(X0,X1),and(X1,not(not(X0))))))) ),
inference(paramodulation,[status(thm)],[f686,f358]) ).
fof(f3361,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(or(X0,X1),implies(or(X0,X1),and(X1,not(not(X0))))),not(equiv(not(X0),X1)))) ),
inference(paramodulation,[status(thm)],[f686,f248]) ).
fof(f3363,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| is_a_theorem(and(X1,not(not(X0))))
| ~ is_a_theorem(not(equiv(not(X0),X1)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(paramodulation,[status(thm)],[f686,f192]) ).
fof(f3364,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(and(X0,not(not(X1))),or(X1,X0)) = and(implies(and(X0,not(not(X1))),or(X1,X0)),not(equiv(not(X1),X0))) ),
inference(paramodulation,[status(thm)],[f686,f509]) ).
fof(f3365,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| equiv(or(X0,X1),and(X1,not(not(X0)))) = and(not(equiv(not(X0),X1)),implies(and(X1,not(not(X0))),or(X0,X1))) ),
inference(paramodulation,[status(thm)],[f686,f509]) ).
fof(f3375,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,not(not(not(X0))))),or(and(X1,implies(X1,not(not(X0)))),not(equiv(not(not(X0)),X1))))) ),
inference(forward_demodulation,[status(thm)],[f661,f3333]) ).
fof(f3376,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(not(X1),not(X0))),implies(or(X1,and(not(X1),not(not(X0)))),not(equiv(not(X0),not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f661,f3334]) ).
fof(f3377,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,or(X1,not(X0))),implies(or(X1,and(not(X1),not(not(X0)))),not(equiv(not(X0),not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f550,f3376]) ).
fof(f3378,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,or(X1,not(X0))),implies(not(and(not(X1),or(X1,not(X0)))),not(equiv(not(X0),not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f1223,f3377]) ).
fof(f3379,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,or(X1,not(X0))),or(and(not(X1),or(X1,not(X0))),not(equiv(not(X0),not(X1)))))) ),
inference(forward_demodulation,[status(thm)],[f550,f3378]) ).
fof(f3380,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(X1,not(X0))),implies(implies(X1,and(X1,not(not(X0)))),not(equiv(not(X0),X1))))) ),
inference(forward_demodulation,[status(thm)],[f661,f3335]) ).
fof(f3381,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(X1,not(X0))),or(and(X1,implies(X1,not(X0))),not(equiv(not(X0),X1))))) ),
inference(forward_demodulation,[status(thm)],[f661,f3380]) ).
fof(f3384,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| or(equiv(not(X0),X1),and(and(X1,not(not(X0))),not(or(X0,X1)))) = not(equiv(or(X0,X1),and(X1,not(not(X0))))) ),
inference(forward_demodulation,[status(thm)],[f550,f3339]) ).
fof(f3385,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(or(X2,and(X1,not(not(X0)))),implies(or(or(X0,X1),not(X2)),and(X1,not(not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f550,f3340]) ).
fof(f3386,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),or(equiv(not(X1),X2),or(X0,and(X2,not(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f550,f3342]) ).
fof(f3387,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,not(not(X2)))),or(equiv(not(X2),X1),implies(or(not(X0),or(X2,X1)),and(X1,not(not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f550,f3343]) ).
fof(f3390,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X2,implies(X1,not(X0))),implies(or(or(X0,X1),X2),and(X1,not(not(X0))))))
| ~ is_a_theorem(not(equiv(not(X0),X1))) ),
inference(forward_demodulation,[status(thm)],[f661,f3345]) ).
fof(f3391,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(not(equiv(not(X0),X1)))
| ~ is_a_theorem(implies(or(X0,X1),not(equiv(not(X0),X1)))) ),
inference(forward_demodulation,[status(thm)],[f686,f3348]) ).
fof(f3394,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ10_spl
| is_a_theorem(implies(implies(implies(X0,not(X1)),not(or(X1,X0))),not(equiv(not(X1),X0)))) ),
inference(forward_demodulation,[status(thm)],[f610,f3351]) ).
fof(f3395,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,X1),X2),or(and(X2,implies(X1,not(X0))),not(equiv(not(X0),X1))))) ),
inference(forward_demodulation,[status(thm)],[f661,f3354]) ).
fof(f3396,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(X0,or(X1,X2)),or(equiv(not(X1),X2),implies(X0,and(X2,not(not(X1))))))) ),
inference(forward_demodulation,[status(thm)],[f550,f3355]) ).
fof(f3397,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ19_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(implies(and(X1,not(not(X0))),X2),implies(or(X0,X1),X2)))) ),
inference(forward_demodulation,[status(thm)],[f550,f3356]) ).
fof(f3398,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(X1,not(X2))),implies(not(equiv(not(X2),X1)),implies(or(X0,or(X2,X1)),and(X1,not(not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f661,f3357]) ).
fof(f3399,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(and(X0,implies(X1,not(X2))),or(equiv(not(X2),X1),implies(or(X0,or(X2,X1)),and(X1,not(not(X2))))))) ),
inference(forward_demodulation,[status(thm)],[f550,f3398]) ).
fof(f3400,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(implies(X2,and(X1,not(not(X0)))),implies(or(or(X0,X1),X2),and(X1,not(not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f550,f3358]) ).
fof(f3401,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ37_spl
| is_a_theorem(or(equiv(not(X0),X1),or(and(X2,implies(X1,not(X0))),implies(or(or(X0,X1),X2),and(X1,not(not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f661,f3400]) ).
fof(f3402,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(and(X0,not(not(X1))),or(X1,X0)),or(equiv(not(X1),X0),equiv(and(X0,not(not(X1))),or(X1,X0))))) ),
inference(forward_demodulation,[status(thm)],[f550,f3359]) ).
fof(f3403,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ46_spl
| is_a_theorem(or(equiv(not(X0),X1),implies(implies(and(X1,not(not(X0))),or(X0,X1)),equiv(or(X0,X1),and(X1,not(not(X0))))))) ),
inference(forward_demodulation,[status(thm)],[f550,f3360]) ).
fof(f3404,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ16_spl
| is_a_theorem(implies(implies(or(X0,X1),not(equiv(not(X0),X1))),not(equiv(not(X0),X1)))) ),
inference(forward_demodulation,[status(thm)],[f686,f3361]) ).
fof(f3415,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,not(X2))),implies(X3,and(X4,not(X5)))) = and(or(and(X0,implies(X1,X2)),implies(X3,and(X4,not(X5)))),or(and(X3,implies(X4,X5)),implies(X0,and(X1,not(X2))))) ),
inference(paramodulation,[status(thm)],[f661,f692]) ).
fof(f3422,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,not(and(X2,implies(X3,X4))))),X5) = and(or(and(X0,implies(X1,and(X2,implies(X3,X4)))),X5),implies(X5,implies(X0,and(X1,implies(X2,and(X3,not(X4))))))) ),
inference(paramodulation,[status(thm)],[f609,f692]) ).
fof(f3425,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(and(X0,implies(X1,X2)),X3),implies(implies(X3,implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),X3)))) ),
inference(paramodulation,[status(thm)],[f692,f292]) ).
fof(f3426,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(implies(X0,and(X1,not(X2))),X3),or(and(X0,implies(X1,X2)),X3))) ),
inference(paramodulation,[status(thm)],[f692,f270]) ).
fof(f3427,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(implies(X0,and(X1,not(X2))),X3),implies(X3,implies(X0,and(X1,not(X2)))))) ),
inference(paramodulation,[status(thm)],[f692,f281]) ).
fof(f3428,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(or(and(X0,implies(X1,X2)),X3))
| ~ is_a_theorem(equiv(implies(X0,and(X1,not(X2))),X3)) ),
inference(paramodulation,[status(thm)],[f692,f656]) ).
fof(f3429,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(X3,implies(X0,and(X1,not(X2)))))
| ~ is_a_theorem(equiv(implies(X0,and(X1,not(X2))),X3)) ),
inference(paramodulation,[status(thm)],[f692,f630]) ).
fof(f3467,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(implies(X0,and(X1,implies(X2,and(X3,not(X4))))),X5) = and(or(and(X0,implies(X1,and(X2,implies(X3,X4)))),X5),implies(X5,implies(X0,and(X1,implies(X2,and(X3,not(X4))))))) ),
inference(forward_demodulation,[status(thm)],[f609,f3422]) ).
fof(f3478,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ49_spl
| is_a_theorem(implies(or(X0,not(X0)),equiv(not(X0),not(X0)))) ),
inference(paramodulation,[status(thm)],[f670,f369]) ).
fof(f3479,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(or(X0,not(X1)),implies(or(X1,not(X0)),equiv(not(X0),not(X1))))) ),
inference(paramodulation,[status(thm)],[f670,f292]) ).
fof(f3480,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(not(X0),not(X1)),or(X0,not(X1)))) ),
inference(paramodulation,[status(thm)],[f670,f270]) ).
fof(f3481,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(not(X0),not(X1)),or(X1,not(X0)))) ),
inference(paramodulation,[status(thm)],[f670,f281]) ).
fof(f3509,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,and(X2,not(and(X3,implies(X4,X5)))))) = and(implies(X0,implies(X1,and(X2,implies(X3,and(X4,not(X5)))))),or(and(X1,implies(X2,and(X3,implies(X4,X5)))),X0)) ),
inference(paramodulation,[status(thm)],[f609,f677]) ).
fof(f3520,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ28_spl
| is_a_theorem(implies(implies(X0,implies(X1,and(X2,not(X3)))),implies(or(and(X1,implies(X2,X3)),X0),equiv(X0,implies(X1,and(X2,not(X3))))))) ),
inference(paramodulation,[status(thm)],[f677,f292]) ).
fof(f3521,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ22_spl
| is_a_theorem(implies(equiv(X0,implies(X1,and(X2,not(X3)))),implies(X0,implies(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f677,f270]) ).
fof(f3522,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ25_spl
| is_a_theorem(implies(equiv(X0,implies(X1,and(X2,not(X3)))),or(and(X1,implies(X2,X3)),X0))) ),
inference(paramodulation,[status(thm)],[f677,f281]) ).
fof(f3523,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(X0,implies(X1,and(X2,not(X3)))))
| ~ is_a_theorem(equiv(X0,implies(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f677,f656]) ).
fof(f3524,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(or(and(X1,implies(X2,X3)),X0))
| ~ is_a_theorem(equiv(X0,implies(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f677,f630]) ).
fof(f3535,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| equiv(X0,implies(X1,and(X2,implies(X3,and(X4,not(X5)))))) = and(implies(X0,implies(X1,and(X2,implies(X3,and(X4,not(X5)))))),or(and(X1,implies(X2,and(X3,implies(X4,X5)))),X0)) ),
inference(forward_demodulation,[status(thm)],[f609,f3509]) ).
fof(f3565,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(resolution,[status(thm)],[f753,f1894]) ).
fof(f3567,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(or(and(X0,not(X1)),X2))
| ~ is_a_theorem(equiv(implies(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f495,f753]) ).
fof(f3568,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ22_spl
| is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(equiv(implies(X0,X1),X2)) ),
inference(forward_demodulation,[status(thm)],[f610,f3567]) ).
fof(f3572,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(resolution,[status(thm)],[f725,f1894]) ).
fof(f3574,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(or(and(X1,not(X2)),X0))
| ~ is_a_theorem(equiv(X0,implies(X1,X2))) ),
inference(paramodulation,[status(thm)],[f495,f725]) ).
fof(f3575,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ25_spl
| is_a_theorem(implies(implies(X1,X2),X0))
| ~ is_a_theorem(equiv(X0,implies(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f610,f3574]) ).
fof(f3580,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(not(X0),implies(not(X1),X0)),X1)) ),
inference(resolution,[status(thm)],[f989,f627]) ).
fof(f3581,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(and(X0,not(X1)),implies(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[f989,f1006]) ).
fof(f3582,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X4,implies(X5,X6)),and(X0,implies(X1,and(X2,not(X3))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(X4,and(X5,not(X6))))) ),
inference(paramodulation,[status(thm)],[f664,f989]) ).
fof(f3583,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X2,implies(X3,X4)),and(X0,not(X1))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,and(X3,not(X4))))) ),
inference(paramodulation,[status(thm)],[f610,f989]) ).
fof(f3585,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(implies(X1,and(X2,not(X3))),implies(X4,X5)),X0))
| ~ is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),and(X4,not(X5))))) ),
inference(paramodulation,[status(thm)],[f661,f989]) ).
fof(f3587,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(not(X1),implies(X2,X3)),X0))
| ~ is_a_theorem(or(X0,or(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f550,f989]) ).
fof(f3589,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,implies(X2,and(X3,implies(X4,X5)))),X0))
| ~ is_a_theorem(or(X0,implies(X1,and(X2,implies(X3,and(X4,not(X5))))))) ),
inference(paramodulation,[status(thm)],[f609,f989]) ).
fof(f3590,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X1,implies(X2,and(X3,not(X4)))),X0))
| ~ is_a_theorem(or(X0,implies(X1,and(X2,implies(X3,X4))))) ),
inference(paramodulation,[status(thm)],[f495,f989]) ).
fof(f3591,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(not(X0),or(X1,X0)),X1)) ),
inference(forward_demodulation,[status(thm)],[f550,f3580]) ).
fof(f3604,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ87_spl
| ~ sQ88_spl
| ~ is_a_theorem(not(implies(equiv(implies(X0,and(X1,not(X2))),X3),or(and(X0,implies(X1,X2)),X3)))) ),
inference(paramodulation,[status(thm)],[f692,f917]) ).
fof(f3614,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X0,not(and(not(X1),X0))),X1)) ),
inference(resolution,[status(thm)],[f990,f627]) ).
fof(f3615,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X0,not(not(X1))),X1)) ),
inference(resolution,[status(thm)],[f990,f633]) ).
fof(f3616,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(X0,not(X0)),X1)) ),
inference(resolution,[status(thm)],[f990,f1006]) ).
fof(f3617,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X4,not(X5)),and(X0,implies(X1,and(X2,not(X3))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),implies(X4,X5))) ),
inference(paramodulation,[status(thm)],[f664,f990]) ).
fof(f3618,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(X2,not(X3)),and(X0,not(X1))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(paramodulation,[status(thm)],[f610,f990]) ).
fof(f3620,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(implies(X1,and(X2,not(X3))),not(X4)),X0))
| ~ is_a_theorem(or(X0,or(and(X1,implies(X2,X3)),X4))) ),
inference(paramodulation,[status(thm)],[f661,f990]) ).
fof(f3622,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(and(not(X1),not(X2)),X0))
| ~ is_a_theorem(or(X0,or(X1,X2))) ),
inference(paramodulation,[status(thm)],[f550,f990]) ).
fof(f3635,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ16_spl
| is_a_theorem(or(X0,not(X0))) ),
inference(resolution,[status(thm)],[f959,f636]) ).
fof(f3648,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,or(equiv(X1,X1),X2))) ),
inference(resolution,[status(thm)],[f1012,f1874]) ).
fof(f3649,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,or(X1,not(X1)))) ),
inference(resolution,[status(thm)],[f1012,f1055]) ).
fof(f3650,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f1012,f1008]) ).
fof(f3651,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| is_a_theorem(or(X0,equiv(X1,X1))) ),
inference(resolution,[status(thm)],[f1012,f1101]) ).
fof(f3653,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(or(X4,and(X0,implies(X1,and(X2,not(X3))))))
| ~ is_a_theorem(implies(implies(X0,and(X1,implies(X2,X3))),not(not(X4)))) ),
inference(paramodulation,[status(thm)],[f664,f1012]) ).
fof(f3654,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(or(X2,and(X0,not(X1))))
| ~ is_a_theorem(implies(implies(X0,X1),not(not(X2)))) ),
inference(paramodulation,[status(thm)],[f610,f1012]) ).
fof(f3655,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ10_spl
| is_a_theorem(or(and(X1,implies(X2,X3)),X0))
| ~ is_a_theorem(or(X0,not(implies(X1,and(X2,not(X3)))))) ),
inference(paramodulation,[status(thm)],[f609,f1012]) ).
fof(f3658,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(or(equiv(X2,X2),X3)),X0),X1))) ),
inference(resolution,[status(thm)],[f831,f1874]) ).
fof(f3659,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(or(X2,not(X2))),X0),X1))) ),
inference(resolution,[status(thm)],[f831,f1055]) ).
fof(f3660,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(implies(X2,X2)),X0),X1))) ),
inference(resolution,[status(thm)],[f831,f1008]) ).
fof(f3661,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(equiv(X2,X2)),X0),X1))) ),
inference(resolution,[status(thm)],[f831,f1101]) ).
fof(f3679,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(not(X0),X1),X2),or(X0,X2))) ),
inference(resolution,[status(thm)],[f1049,f625]) ).
fof(f3680,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,not(X0)),X1),or(X2,X1))) ),
inference(resolution,[status(thm)],[f1049,f1053]) ).
fof(f3681,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(or(X0,not(X1)),X2),or(X1,X2))) ),
inference(resolution,[status(thm)],[f1049,f636]) ).
fof(f3682,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,and(not(X1),X0)),X2),or(X1,X2))) ),
inference(resolution,[status(thm)],[f1049,f627]) ).
fof(f3683,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,not(X1)),X2),or(X1,X2))) ),
inference(resolution,[status(thm)],[f1049,f633]) ).
fof(f3684,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(implies(X0,X0),X1),or(X2,X1))) ),
inference(resolution,[status(thm)],[f1049,f1006]) ).
fof(f3685,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(implies(equiv(X0,X0),X1),or(X2,X1))) ),
inference(resolution,[status(thm)],[f1049,f1099]) ).
fof(f3692,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(or(equiv(X1,X1),X2))),equiv(not(or(equiv(X1,X1),X2)),X0))) ),
inference(resolution,[status(thm)],[f723,f1874]) ).
fof(f3693,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(or(X1,not(X1)))),equiv(not(or(X1,not(X1))),X0))) ),
inference(resolution,[status(thm)],[f723,f1055]) ).
fof(f3694,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(implies(X1,X1))),equiv(not(implies(X1,X1)),X0))) ),
inference(resolution,[status(thm)],[f723,f1008]) ).
fof(f3695,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,not(equiv(X1,X1))),equiv(not(equiv(X1,X1)),X0))) ),
inference(resolution,[status(thm)],[f723,f1101]) ).
fof(f3703,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(not(X0),not(X0)),equiv(not(X0),not(X0)))) ),
inference(resolution,[status(thm)],[f723,f1009]) ).
fof(f3706,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,not(X0)),equiv(not(X0),not(X0)))) ),
inference(forward_demodulation,[status(thm)],[f550,f3703]) ).
fof(f3717,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(implies(X2,and(not(X0),not(X1))))
| ~ is_a_theorem(implies(or(X0,X1),not(X2))) ),
inference(paramodulation,[status(thm)],[f550,f988]) ).
fof(f3729,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| is_a_theorem(not(and(X2,or(X0,X1))))
| ~ is_a_theorem(implies(or(X0,X1),not(X2))) ),
inference(forward_demodulation,[status(thm)],[f659,f3717]) ).
fof(f3733,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),implies(and(not(X0),X2),X1))) ),
inference(resolution,[status(thm)],[f1134,f270]) ).
fof(f3734,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X0,X1),implies(and(X2,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f1134,f281]) ).
fof(f3737,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X1,X2),implies(not(X0),X2)))
| ~ is_a_theorem(or(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f550,f1134]) ).
fof(f3738,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(and(X1,implies(X2,X3)),X4),implies(X0,X4)))
| ~ is_a_theorem(implies(X0,implies(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f609,f1134]) ).
fof(f3742,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| is_a_theorem(implies(or(X1,X2),or(X0,X2)))
| ~ is_a_theorem(or(X0,not(X1))) ),
inference(forward_demodulation,[status(thm)],[f550,f3737]) ).
fof(f3746,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(and(X2,not(X2)),X0),X1))) ),
inference(resolution,[status(thm)],[f3616,f621]) ).
fof(f3748,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(X0,and(X1,not(X1))),equiv(and(X1,not(X1)),X0))) ),
inference(resolution,[status(thm)],[f3616,f614]) ).
fof(f3749,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(X1)
| ~ is_a_theorem(and(X0,not(X0))) ),
inference(resolution,[status(thm)],[f3616,f192]) ).
fof(f3750,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(X0,and(implies(and(X1,not(X1)),X2),X0))) ),
inference(resolution,[status(thm)],[f3616,f626]) ).
fof(f3751,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(and(implies(and(X0,not(X0)),X1),implies(and(X0,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f3616,f964]) ).
fof(f3752,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(X0,implies(and(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f3616,f632]) ).
fof(f3753,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(or(X0,implies(and(X1,not(X1)),X2))) ),
inference(resolution,[status(thm)],[f3616,f635]) ).
fof(f3754,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(or(implies(and(X0,not(X0)),X1),X2)) ),
inference(resolution,[status(thm)],[f3616,f624]) ).
fof(f3755,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| is_a_theorem(not(and(and(X0,not(X0)),or(X1,X2)))) ),
inference(paramodulation,[status(thm)],[f659,f3616]) ).
fof(f3756,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(and(and(X0,implies(X1,X2)),implies(X0,and(X1,not(X2)))),X3)) ),
inference(paramodulation,[status(thm)],[f609,f3616]) ).
fof(f3758,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1))) ),
inference(forward_demodulation,[status(thm)],[f610,f3746]) ).
fof(f3759,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| is_a_theorem(or(and(X0,implies(X1,X1)),equiv(and(X1,not(X1)),X0))) ),
inference(forward_demodulation,[status(thm)],[f661,f3748]) ).
fof(f3760,definition,
! [X0] :
( sQ99_spl
<=> ~ is_a_theorem(and(X0,not(X0))) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f3761,plain,
! [X0] :
( ~ sQ99_spl
| ~ is_a_theorem(and(X0,not(X0))) ),
inference(component_clause,[status(thm)],[f3760]) ).
fof(f3763,plain,
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| sQ89_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f3749,f3760,f919,f480,f225,f494,f247,f236,f313,f191]) ).
fof(f3764,plain,
( sQ55_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1633]) ).
fof(f3765,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,and(X1,not(X1))),equiv(and(X1,not(X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f776,f3616]) ).
fof(f3766,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,and(not(X0),X1)),equiv(and(not(X0),X1),not(X0)))) ),
inference(resolution,[status(thm)],[f776,f270]) ).
fof(f3767,plain,
! [X0,X1] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,and(X1,not(X0))),equiv(and(X1,not(X0)),not(X0)))) ),
inference(resolution,[status(thm)],[f776,f281]) ).
fof(f3768,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X0,not(X0)),equiv(not(X0),not(X0)))) ),
inference(resolution,[status(thm)],[f776,f954]) ).
fof(f3769,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X3,implies(X0,and(X1,not(X2)))),equiv(implies(X0,and(X1,not(X2))),not(X3))))
| ~ is_a_theorem(or(and(X0,implies(X1,X2)),not(X3))) ),
inference(paramodulation,[status(thm)],[f661,f776]) ).
fof(f3770,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(X1,not(X0)),equiv(not(X0),not(X1))))
| ~ is_a_theorem(or(X0,not(X1))) ),
inference(paramodulation,[status(thm)],[f550,f776]) ).
fof(f3771,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X1,implies(X2,X3)),X0),equiv(X0,not(and(X1,implies(X2,X3))))))
| ~ is_a_theorem(implies(X0,implies(X1,and(X2,not(X3))))) ),
inference(paramodulation,[status(thm)],[f609,f776]) ).
fof(f3773,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ46_spl
| is_a_theorem(implies(or(and(X1,implies(X2,X3)),X0),equiv(X0,implies(X1,and(X2,not(X3))))))
| ~ is_a_theorem(implies(X0,implies(X1,and(X2,not(X3))))) ),
inference(forward_demodulation,[status(thm)],[f609,f3771]) ).
fof(f3776,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(and(X1,not(X2)),X3)),implies(or(or(X3,implies(X1,X2)),not(X0)),implies(and(X1,not(X2)),X3)))) ),
inference(resolution,[status(thm)],[f855,f648]) ).
fof(f3777,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(or(or(X1,or(X1,X2)),not(X0)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f855,f642]) ).
fof(f3778,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(or(or(X2,not(not(X1))),not(X0)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f855,f649]) ).
fof(f3779,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(or(or(X2,not(X1)),not(X0)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f855,f547]) ).
fof(f3780,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,not(X2)),equiv(not(X2),X1))),implies(or(or(X2,X1),not(X0)),implies(implies(X1,not(X2)),equiv(not(X2),X1))))) ),
inference(resolution,[status(thm)],[f855,f615]) ).
fof(f3781,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),or(X3,X2))),implies(or(or(X3,X1),not(X0)),implies(implies(X1,X2),or(X3,X2))))) ),
inference(resolution,[status(thm)],[f855,f654]) ).
fof(f3782,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),implies(or(not(X3),X1),X2))),implies(or(or(X3,X2),not(X0)),implies(implies(X1,X2),implies(or(not(X3),X1),X2))))) ),
inference(resolution,[status(thm)],[f855,f622]) ).
fof(f3783,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(and(X2,not(X2)),not(X0)),X1))) ),
inference(resolution,[status(thm)],[f855,f3616]) ).
fof(f3784,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(and(X1,X2),not(X0)),X1))) ),
inference(resolution,[status(thm)],[f855,f270]) ).
fof(f3785,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(and(X2,X1),not(X0)),X1))) ),
inference(resolution,[status(thm)],[f855,f281]) ).
fof(f3786,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(or(equiv(not(X1),X2),not(X0)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f855,f620]) ).
fof(f3787,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(or(equiv(X2,not(X1)),not(X0)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f855,f618]) ).
fof(f3788,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(or(equiv(X1,X2),not(X0)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f855,f336]) ).
fof(f3789,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(or(equiv(X2,X1),not(X0)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f855,f347]) ).
fof(f3790,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(or(X1,X2),implies(X3,X2))),implies(or(implies(X3,not(X1)),not(X0)),implies(or(X1,X2),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f855,f652]) ).
fof(f3791,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(or(X1,X2),equiv(X2,not(X1)))),implies(or(implies(X2,not(X1)),not(X0)),implies(or(X1,X2),equiv(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f855,f616]) ).
fof(f3792,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(or(implies(X1,implies(X1,X2)),not(X0)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f855,f248]) ).
fof(f3793,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| is_a_theorem(implies(or(X0,implies(or(X1,X2),implies(or(X3,not(X1)),X2))),implies(or(implies(X3,X2),not(X0)),implies(or(X1,X2),implies(or(X3,not(X1)),X2))))) ),
inference(resolution,[status(thm)],[f855,f623]) ).
fof(f3794,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),implies(or(X3,X1),X2))),implies(or(implies(X3,X2),not(X0)),implies(implies(X1,X2),implies(or(X3,X1),X2))))) ),
inference(resolution,[status(thm)],[f855,f325]) ).
fof(f3795,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),implies(X3,X2))),implies(or(implies(X3,X1),not(X0)),implies(implies(X1,X2),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f855,f259]) ).
fof(f3796,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(implies(X1,X2),equiv(X2,X1))),implies(or(implies(X2,X1),not(X0)),implies(implies(X1,X2),equiv(X2,X1))))) ),
inference(resolution,[status(thm)],[f855,f358]) ).
fof(f3798,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,and(X1,X1)),implies(or(X1,not(X0)),and(X1,X1)))) ),
inference(resolution,[status(thm)],[f855,f369]) ).
fof(f3799,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(X1,and(X2,X1))),implies(or(X2,not(X0)),implies(X1,and(X2,X1))))) ),
inference(resolution,[status(thm)],[f855,f292]) ).
fof(f3801,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,implies(X1,X2)),implies(or(X2,not(X0)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f855,f237]) ).
fof(f3802,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,or(X1,and(X2,not(X1)))),implies(or(X2,not(X0)),or(X1,and(X2,not(X1)))))) ),
inference(resolution,[status(thm)],[f855,f628]) ).
fof(f3804,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(or(X2,not(X0)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f855,f314]) ).
fof(f3805,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,or(X1,X2)),implies(or(X1,not(X0)),or(X1,X2)))) ),
inference(resolution,[status(thm)],[f855,f303]) ).
fof(f3806,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(or(X1,not(X0)),X1))) ),
inference(resolution,[status(thm)],[f855,f954]) ).
fof(f3807,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ87_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X2,and(X1,not(not(X0)))),implies(or(or(X0,X1),not(X2)),and(X1,not(not(X0))))))
| ~ is_a_theorem(not(equiv(not(X0),X1))) ),
inference(paramodulation,[status(thm)],[f686,f855]) ).
fof(f3808,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X4,X3),implies(or(implies(X0,and(X1,not(X2))),not(X4)),X3)))
| ~ is_a_theorem(or(and(X0,implies(X1,X2)),X3)) ),
inference(paramodulation,[status(thm)],[f661,f855]) ).
fof(f3809,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X2,and(X1,not(X0))),implies(or(implies(X0,X1),not(X2)),and(X1,not(X0)))))
| ~ is_a_theorem(not(equiv(X0,X1))) ),
inference(paramodulation,[status(thm)],[f658,f855]) ).
fof(f3810,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X2,X1),implies(or(not(X0),not(X2)),X1)))
| ~ is_a_theorem(or(X0,X1)) ),
inference(paramodulation,[status(thm)],[f550,f855]) ).
fof(f3812,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ37_spl
| is_a_theorem(implies(or(X0,X1),implies(implies(implies(X2,X2),not(X0)),X1))) ),
inference(forward_demodulation,[status(thm)],[f610,f3783]) ).
fof(f3816,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(or(equiv(X1,X1),X2),X3),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f1874]) ).
fof(f3817,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(or(X1,not(X1)),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f1055]) ).
fof(f3818,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(implies(X1,X1),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f1008]) ).
fof(f3819,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(equiv(X1,X1),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f1101]) ).
fof(f3820,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,or(not(X1),X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f625]) ).
fof(f3821,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,or(X2,not(X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f1053]) ).
fof(f3822,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,or(X2,not(X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f636]) ).
fof(f3823,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,and(or(X1,implies(X2,and(not(X1),X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f627]) ).
fof(f3824,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,implies(X2,not(X1))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f633]) ).
fof(f3825,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,implies(X2,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f1006]) ).
fof(f3826,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,equiv(X2,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f1099]) ).
fof(f3827,plain,
! [X0,X1] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(or(X1,not(X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f1009]) ).
fof(f3828,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,implies(X2,X3)),implies(and(X2,not(X3)),X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f648]) ).
fof(f3829,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,or(X1,X2)),or(X1,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f642]) ).
fof(f3830,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,not(not(X2))),or(X2,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f649]) ).
fof(f3831,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,not(X2)),implies(X2,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f547]) ).
fof(f3832,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,X2),implies(implies(X2,not(X1)),equiv(not(X1),X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f615]) ).
fof(f3833,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,X2),implies(implies(X2,X3),or(X1,X3))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f654]) ).
fof(f3834,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(or(X1,X2),implies(implies(X3,X2),implies(or(not(X1),X3),X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f622]) ).
fof(f3835,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(and(X1,not(X1)),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f3616]) ).
fof(f3836,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(and(X1,X2),X1),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f270]) ).
fof(f3837,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(and(X1,X2),X2),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f281]) ).
fof(f3838,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(equiv(not(X1),X2),or(X1,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f620]) ).
fof(f3839,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(equiv(X1,not(X2)),or(X2,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f618]) ).
fof(f3840,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(equiv(X1,X2),implies(X1,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f336]) ).
fof(f3841,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(equiv(X1,X2),implies(X2,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f347]) ).
fof(f3842,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(implies(X1,not(X2)),implies(or(X2,X3),implies(X1,X3))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f652]) ).
fof(f3843,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(implies(X1,not(X2)),implies(or(X2,X1),equiv(X1,not(X2)))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f616]) ).
fof(f3844,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(implies(X1,implies(X1,X2)),implies(X1,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f248]) ).
fof(f3845,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(implies(X1,X2),implies(or(X3,X2),implies(or(X1,not(X3)),X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f623]) ).
fof(f3846,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f325]) ).
fof(f3847,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f259]) ).
fof(f3848,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f358]) ).
fof(f3849,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ49_spl
| ~ sQ87_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,equiv(X2,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f1100]) ).
fof(f3850,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,and(X1,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f369]) ).
fof(f3851,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X0,and(implies(X1,implies(X2,and(X1,X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f292]) ).
fof(f3852,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,implies(X2,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f1007]) ).
fof(f3853,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,implies(X2,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f237]) ).
fof(f3854,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ1_spl
| is_a_theorem(or(X0,and(implies(X1,or(X2,and(X1,not(X2)))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f628]) ).
fof(f3855,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ16_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,or(X2,not(X2))),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f1054]) ).
fof(f3856,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,or(X2,X1)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f314]) ).
fof(f3857,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,or(X1,X2)),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f303]) ).
fof(f3858,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(implies(X1,X1),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f954]) ).
fof(f3859,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| is_a_theorem(or(X0,and(equiv(X1,X1),not(X0)))) ),
inference(resolution,[status(thm)],[f939,f1894]) ).
fof(f3861,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),or(X3,or(not(X3),X4)))) ),
inference(resolution,[status(thm)],[f847,f989]) ).
fof(f3862,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| is_a_theorem(implies(and(X0,not(X1)),or(X2,or(not(X2),X3)))) ),
inference(resolution,[status(thm)],[f847,f990]) ).
fof(f3863,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ10_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f847,f1012]) ).
fof(f3864,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| is_a_theorem(implies(X0,or(X1,or(not(X1),X2)))) ),
inference(resolution,[status(thm)],[f847,f647]) ).
fof(f3865,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,not(or(X1,or(not(X1),X2)))),equiv(not(or(X1,or(not(X1),X2))),X0))) ),
inference(resolution,[status(thm)],[f847,f723]) ).
fof(f3866,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,X1),or(or(X2,or(not(X2),X3)),X1))) ),
inference(resolution,[status(thm)],[f847,f1049]) ).
fof(f3867,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ31_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(or(X2,or(not(X2),X3))),X0),X1))) ),
inference(resolution,[status(thm)],[f847,f831]) ).
fof(f3868,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(X0,or(not(X0),X1)))) ),
inference(resolution,[status(thm)],[f847,f613]) ).
fof(f3869,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ31_spl
| is_a_theorem(or(X0,and(or(or(X1,or(not(X1),X2)),X3),not(X0)))) ),
inference(resolution,[status(thm)],[f847,f939]) ).
fof(f3870,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,and(or(or(X1,or(not(X1),X2)),X3),X0))) ),
inference(resolution,[status(thm)],[f847,f626]) ).
fof(f3871,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(and(or(or(X0,or(not(X0),X1)),X2),or(or(X0,or(not(X0),X1)),X2))) ),
inference(resolution,[status(thm)],[f847,f964]) ).
fof(f3872,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(X0,or(or(X1,or(not(X1),X2)),X3))) ),
inference(resolution,[status(thm)],[f847,f632]) ).
fof(f3873,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X0,or(or(X1,or(not(X1),X2)),X3))) ),
inference(resolution,[status(thm)],[f847,f635]) ).
fof(f3874,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(or(or(X0,or(not(X0),X1)),X2),X3)) ),
inference(resolution,[status(thm)],[f847,f624]) ).
fof(f3877,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| is_a_theorem(or(or(and(X0,implies(X1,X2)),or(implies(X0,and(X1,not(X2))),X3)),X4)) ),
inference(paramodulation,[status(thm)],[f609,f847]) ).
fof(f3879,definition,
! [X0,X1] :
( sQ100_spl
<=> ~ is_a_theorem(not(or(X0,or(not(X0),X1)))) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f3880,plain,
! [X0,X1] :
( ~ sQ100_spl
| ~ is_a_theorem(not(or(X0,or(not(X0),X1)))) ),
inference(component_clause,[status(thm)],[f3879]) ).
fof(f3882,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| sQ89_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f3868,f3879,f919,f302,f191,f494,f480]) ).
fof(f3887,plain,
( sQ77_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1634]) ).
fof(f3889,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(implies(and(X0,implies(X1,X2)),or(X3,or(X4,not(X3))))) ),
inference(resolution,[status(thm)],[f901,f989]) ).
fof(f3890,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(implies(and(X0,not(X1)),or(X2,or(X3,not(X2))))) ),
inference(resolution,[status(thm)],[f901,f990]) ).
fof(f3892,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(X1,or(X2,not(X1))))) ),
inference(resolution,[status(thm)],[f901,f647]) ).
fof(f3893,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ46_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,not(or(X1,or(X2,not(X1))))),equiv(not(or(X1,or(X2,not(X1)))),X0))) ),
inference(resolution,[status(thm)],[f901,f723]) ).
fof(f3894,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ19_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),or(or(X2,or(X3,not(X2))),X1))) ),
inference(resolution,[status(thm)],[f901,f1049]) ).
fof(f3895,plain,
! [X0,X1,X2,X3] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ37_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(implies(implies(X0,X1),implies(or(not(or(X2,or(X3,not(X2)))),X0),X1))) ),
inference(resolution,[status(thm)],[f901,f831]) ).
fof(f3896,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(X2)
| ~ is_a_theorem(not(or(X0,or(X1,not(X0))))) ),
inference(resolution,[status(thm)],[f901,f613]) ).
fof(f3897,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(or(X0,and(or(or(X1,or(X2,not(X1))),X3),not(X0)))) ),
inference(resolution,[status(thm)],[f901,f939]) ).
fof(f3898,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,and(or(or(X1,or(X2,not(X1))),X3),X0))) ),
inference(resolution,[status(thm)],[f901,f626]) ).
fof(f3899,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ49_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(and(or(or(X0,or(X1,not(X0))),X2),or(or(X0,or(X1,not(X0))),X2))) ),
inference(resolution,[status(thm)],[f901,f964]) ).
fof(f3900,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(implies(X0,or(or(X1,or(X2,not(X1))),X3))) ),
inference(resolution,[status(thm)],[f901,f632]) ).
fof(f3901,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(or(X0,or(or(X1,or(X2,not(X1))),X3))) ),
inference(resolution,[status(thm)],[f901,f635]) ).
fof(f3902,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ34_spl
| is_a_theorem(or(or(or(X0,or(X1,not(X0))),X2),X3)) ),
inference(resolution,[status(thm)],[f901,f624]) ).
fof(f3905,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(implies(X1,and(X2,implies(X3,X4))),not(X0))),X5)) ),
inference(paramodulation,[status(thm)],[f664,f901]) ).
fof(f3906,plain,
! [X0,X1,X2,X3] :
( ~ sQ83_spl
| ~ sQ79_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| is_a_theorem(or(or(X0,implies(implies(X1,X2),not(X0))),X3)) ),
inference(paramodulation,[status(thm)],[f610,f901]) ).
fof(f3907,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ79_spl
| ~ sQ34_spl
| is_a_theorem(or(or(and(X0,implies(X1,X2)),or(X3,implies(X0,and(X1,not(X2))))),X4)) ),
inference(paramodulation,[status(thm)],[f609,f901]) ).
fof(f3909,definition,
! [X0,X1] :
( sQ101_spl
<=> ~ is_a_theorem(not(or(X0,or(X1,not(X0))))) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f3912,plain,
( ~ sQ79_spl
| ~ sQ83_spl
| ~ sQ1_spl
| ~ sQ31_spl
| ~ sQ34_spl
| sQ89_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f3896,f3909,f919,f313,f302,f191,f494,f480]) ).
fof(f3918,plain,
( ~ sQ63_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(or(sK43_skl,sK43_skl),sK43_skl)) ),
inference(forward_demodulation,[status(thm)],[f550,f422]) ).
fof(f3919,plain,
( ~ sQ55_spl
| ~ sQ79_spl
| ~ sQ83_spl
| is_a_theorem(implies(implies(sK35_skl,sK36_skl),or(and(sK36_skl,sK37_skl),not(and(sK37_skl,sK35_skl))))) ),
inference(forward_demodulation,[status(thm)],[f550,f392]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ5_spl
| sQ6_spl
| sQ9_spl
| sQ10_spl
| sQ11_spl
| sQ12_spl
| sQ13_spl
| sQ14_spl
| sQ15_spl
| sQ16_spl
| sQ17_spl
| sQ18_spl
| sQ19_spl
| sQ20_spl
| sQ21_spl
| sQ22_spl
| sQ23_spl
| sQ24_spl
| sQ25_spl
| sQ26_spl
| sQ27_spl
| sQ28_spl
| sQ29_spl
| sQ30_spl
| sQ31_spl
| sQ32_spl
| sQ33_spl
| sQ34_spl
| sQ35_spl
| sQ36_spl
| sQ37_spl
| sQ38_spl
| sQ39_spl
| sQ40_spl
| sQ41_spl
| sQ42_spl
| sQ43_spl
| sQ44_spl
| sQ45_spl
| sQ46_spl
| sQ47_spl
| sQ48_spl
| sQ49_spl
| sQ50_spl
| sQ51_spl
| sQ52_spl
| sQ53_spl
| sQ54_spl
| sQ55_spl
| sQ56_spl
| sQ57_spl
| sQ58_spl
| sQ59_spl
| sQ60_spl
| sQ61_spl
| sQ62_spl
| sQ63_spl
| sQ64_spl
| sQ65_spl
| sQ66_spl
| sQ67_spl
| sQ68_spl
| sQ69_spl
| sQ70_spl
| sQ71_spl
| sQ72_spl
| sQ73_spl
| sQ74_spl
| sQ75_spl
| sQ76_spl
| sQ77_spl
| sQ78_spl
| sQ79_spl
| ~ sQ80_spl
| sQ82_spl
| sQ83_spl
| ~ sQ84_spl
| sQ86_spl
| sQ87_spl
| sQ89_spl
| ~ sQ90_spl
| sQ91_spl
| ~ sQ92_spl
| sQ94_spl
| sQ97_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL907+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n003.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 01:12:15 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.48 % Drodi V4.1.1
% 0.20/0.78 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.20/0.78 % SZS output start Saturation for theBenchmark
% See solution above
% 0.29/0.83 % Elapsed time: 0.347804 seconds
% 0.29/0.83 % CPU time: 2.229408 seconds
% 0.29/0.83 % Total memory used: 48.141 MB
% 0.29/0.83 % Net memory used: 44.693 MB
%------------------------------------------------------------------------------