TSTP Solution File: HEN011-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : HEN011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:12:52 EDT 2023
% Result : Unsatisfiable 14.40s 2.22s
% Output : CNFRefutation 14.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 36
% Syntax : Number of formulae : 327 ( 98 unt; 0 def)
% Number of atoms : 726 ( 86 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 771 ( 372 ~; 379 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 21 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 385 (; 385 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| quotient(X,Y,zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( ~ quotient(X,Y,zero)
| less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] :
( ~ quotient(X,Y,Z)
| less_equal(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,V1,Z,V2,V3,V4,V5] :
( ~ quotient(X,Y,V1)
| ~ quotient(Y,Z,V2)
| ~ quotient(X,Z,V3)
| ~ quotient(V3,V2,V4)
| ~ quotient(V1,Z,V5)
| less_equal(V4,V5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : less_equal(zero,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : less_equal(X,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : quotient(X,Y,divide(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z,W] :
( ~ quotient(X,Y,Z)
| ~ quotient(X,Y,W)
| Z = W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
quotient(identity,a,idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
quotient(identity,b,idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
quotient(identity,idQb,idQ_idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
quotient(idQa,idQ_idQb,idQa_Q__idQ_idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
quotient(idQb,idQ_idQa,idQb_Q__idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
idQa_Q__idQ_idQb != idQb_Q__idQ_idQa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] :
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f19,plain,
! [X,Z] :
( ! [Y] : ~ quotient(X,Y,Z)
| less_equal(Z,X) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
! [V4,V5] :
( ! [V1,Z] :
( ! [V2,V3] :
( ! [X] :
( ! [Y] :
( ~ quotient(X,Y,V1)
| ~ quotient(Y,Z,V2) )
| ~ quotient(X,Z,V3) )
| ~ quotient(V3,V2,V4) )
| ~ quotient(V1,Z,V5) )
| less_equal(V4,V5) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X1,X3,X4)
| ~ quotient(X0,X3,X5)
| ~ quotient(X5,X4,X6)
| ~ quotient(X2,X3,X7)
| less_equal(X6,X7) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f23,plain,
! [X0] : less_equal(zero,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f24,plain,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f25,plain,
! [X0] : less_equal(X0,identity),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f26,plain,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f27,plain,
! [Z,W] :
( ! [X,Y] :
( ~ quotient(X,Y,Z)
| ~ quotient(X,Y,W) )
| Z = W ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f29,plain,
quotient(identity,a,idQa),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f30,plain,
quotient(identity,b,idQb),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f31,plain,
quotient(identity,idQb,idQ_idQb),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f32,plain,
quotient(idQa,idQ_idQb,idQa_Q__idQ_idQb),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f33,plain,
quotient(identity,idQa,idQ_idQa),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f34,plain,
quotient(idQb,idQ_idQa,idQb_Q__idQ_idQa),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f35,plain,
idQa_Q__idQ_idQb != idQb_Q__idQ_idQa,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f36,plain,
! [X0] : quotient(zero,X0,zero),
inference(resolution,[status(thm)],[f17,f23]) ).
fof(f37,plain,
! [X0] : quotient(X0,identity,zero),
inference(resolution,[status(thm)],[f17,f25]) ).
fof(f43,plain,
less_equal(idQb_Q__idQ_idQa,idQb),
inference(resolution,[status(thm)],[f20,f34]) ).
fof(f44,plain,
less_equal(idQa_Q__idQ_idQb,idQa),
inference(resolution,[status(thm)],[f20,f32]) ).
fof(f46,plain,
! [X0,X1] : less_equal(divide(X0,X1),X0),
inference(resolution,[status(thm)],[f20,f26]) ).
fof(f47,plain,
quotient(idQb_Q__idQ_idQa,idQb,zero),
inference(resolution,[status(thm)],[f43,f17]) ).
fof(f48,plain,
quotient(idQa_Q__idQ_idQb,idQa,zero),
inference(resolution,[status(thm)],[f44,f17]) ).
fof(f51,plain,
! [X0,X1] : quotient(divide(X0,X1),X0,zero),
inference(resolution,[status(thm)],[f46,f17]) ).
fof(f58,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[status(thm)],[f24,f46]) ).
fof(f75,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[status(thm)],[f24,f23]) ).
fof(f77,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[status(thm)],[f75,f46]) ).
fof(f91,plain,
! [X0,X1] :
( ~ quotient(X0,identity,X1)
| zero = X1 ),
inference(resolution,[status(thm)],[f28,f37]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ quotient(X0,X1,X2)
| divide(X0,X1) = X2 ),
inference(resolution,[status(thm)],[f28,f26]) ).
fof(f94,plain,
! [X0] : zero = divide(X0,identity),
inference(resolution,[status(thm)],[f91,f26]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4] :
( ~ quotient(idQa,X0,X1)
| ~ quotient(identity,X0,X2)
| ~ quotient(X2,X1,X3)
| ~ quotient(idQ_idQa,X0,X4)
| less_equal(X3,X4) ),
inference(resolution,[status(thm)],[f22,f33]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4] :
( ~ quotient(idQb,X0,X1)
| ~ quotient(identity,X0,X2)
| ~ quotient(X2,X1,X3)
| ~ quotient(idQ_idQb,X0,X4)
| less_equal(X3,X4) ),
inference(resolution,[status(thm)],[f22,f31]) ).
fof(f107,plain,
! [X0,X1,X2,X3,X4] :
( ~ quotient(b,X0,X1)
| ~ quotient(identity,X0,X2)
| ~ quotient(X2,X1,X3)
| ~ quotient(idQb,X0,X4)
| less_equal(X3,X4) ),
inference(resolution,[status(thm)],[f22,f30]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4] :
( ~ quotient(a,X0,X1)
| ~ quotient(identity,X0,X2)
| ~ quotient(X2,X1,X3)
| ~ quotient(idQa,X0,X4)
| less_equal(X3,X4) ),
inference(resolution,[status(thm)],[f22,f29]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4] :
( ~ quotient(idQ_idQa,X0,X1)
| ~ quotient(idQb,X0,X2)
| ~ quotient(X2,X1,X3)
| ~ quotient(idQb_Q__idQ_idQa,X0,X4)
| less_equal(X3,X4) ),
inference(resolution,[status(thm)],[f22,f34]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4] :
( ~ quotient(idQ_idQb,X0,X1)
| ~ quotient(idQa,X0,X2)
| ~ quotient(X2,X1,X3)
| ~ quotient(idQa_Q__idQ_idQb,X0,X4)
| less_equal(X3,X4) ),
inference(resolution,[status(thm)],[f22,f32]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ quotient(identity,X0,X1)
| ~ quotient(X2,X0,X3)
| ~ quotient(X3,X1,X4)
| ~ quotient(zero,X0,X5)
| less_equal(X4,X5) ),
inference(resolution,[status(thm)],[f22,f37]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X3,X1,X4)
| ~ quotient(X4,X2,X5)
| ~ quotient(divide(X3,X0),X1,X6)
| less_equal(X5,X6) ),
inference(resolution,[status(thm)],[f22,f26]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( ~ quotient(idQb,X0,X1)
| ~ quotient(X1,divide(idQ_idQa,X0),X2)
| ~ quotient(idQb_Q__idQ_idQa,X0,X3)
| less_equal(X2,X3) ),
inference(resolution,[status(thm)],[f110,f26]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ~ quotient(idQb,X0,X1)
| ~ quotient(idQb_Q__idQ_idQa,X0,X2)
| less_equal(divide(X1,divide(idQ_idQa,X0)),X2) ),
inference(resolution,[status(thm)],[f126,f26]) ).
fof(f143,plain,
! [X0,X1] :
( ~ quotient(idQb_Q__idQ_idQa,X0,X1)
| less_equal(divide(divide(idQb,X0),divide(idQ_idQa,X0)),X1) ),
inference(resolution,[status(thm)],[f138,f26]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ~ quotient(idQa,X0,X1)
| ~ quotient(X1,divide(idQ_idQb,X0),X2)
| ~ quotient(idQa_Q__idQ_idQb,X0,X3)
| less_equal(X2,X3) ),
inference(resolution,[status(thm)],[f111,f26]) ).
fof(f288,plain,
! [X0,X1,X2] :
( ~ quotient(identity,idQ_idQb,X0)
| ~ quotient(X0,idQa_Q__idQ_idQb,X1)
| ~ quotient(idQ_idQa,idQ_idQb,X2)
| less_equal(X1,X2) ),
inference(resolution,[status(thm)],[f105,f32]) ).
fof(f290,plain,
! [X0,X1,X2,X3] :
( ~ quotient(identity,X0,X1)
| ~ quotient(X1,divide(idQa,X0),X2)
| ~ quotient(idQ_idQa,X0,X3)
| less_equal(X2,X3) ),
inference(resolution,[status(thm)],[f105,f26]) ).
fof(f291,plain,
! [X0,X1,X2] :
( ~ quotient(identity,idQ_idQa,X0)
| ~ quotient(X0,idQb_Q__idQ_idQa,X1)
| ~ quotient(idQ_idQb,idQ_idQa,X2)
| less_equal(X1,X2) ),
inference(resolution,[status(thm)],[f106,f34]) ).
fof(f293,plain,
! [X0,X1,X2,X3] :
( ~ quotient(identity,X0,X1)
| ~ quotient(X1,divide(idQb,X0),X2)
| ~ quotient(idQ_idQb,X0,X3)
| less_equal(X2,X3) ),
inference(resolution,[status(thm)],[f106,f26]) ).
fof(f295,plain,
! [X0,X1,X2,X3] :
( ~ quotient(identity,X0,X1)
| ~ quotient(X1,divide(b,X0),X2)
| ~ quotient(idQb,X0,X3)
| less_equal(X2,X3) ),
inference(resolution,[status(thm)],[f107,f26]) ).
fof(f312,plain,
less_equal(divide(divide(idQb,idQb),divide(idQ_idQa,idQb)),zero),
inference(resolution,[status(thm)],[f143,f47]) ).
fof(f319,plain,
! [X0,X1,X2] :
( ~ quotient(idQa,X0,X1)
| ~ quotient(idQa_Q__idQ_idQb,X0,X2)
| less_equal(divide(X1,divide(idQ_idQb,X0)),X2) ),
inference(resolution,[status(thm)],[f159,f26]) ).
fof(f321,plain,
zero = divide(divide(idQb,idQb),divide(idQ_idQa,idQb)),
inference(resolution,[status(thm)],[f312,f75]) ).
fof(f334,plain,
( spl0_26
<=> less_equal(divide(idQb,idQb),zero) ),
introduced(split_symbol_definition) ).
fof(f336,plain,
( ~ less_equal(divide(idQb,idQb),zero)
| spl0_26 ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( spl0_27
<=> divide(divide(idQb,idQb),divide(idQ_idQa,idQb)) = divide(idQb,idQb) ),
introduced(split_symbol_definition) ).
fof(f338,plain,
( divide(divide(idQb,idQb),divide(idQ_idQa,idQb)) = divide(idQb,idQb)
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( ~ less_equal(divide(idQb,idQb),zero)
| divide(divide(idQb,idQb),divide(idQ_idQa,idQb)) = divide(idQb,idQb) ),
inference(paramodulation,[status(thm)],[f321,f58]) ).
fof(f341,plain,
( ~ spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f340,f334,f337]) ).
fof(f390,plain,
! [X0,X1] :
( ~ quotient(divide(identity,idQ_idQb),idQa_Q__idQ_idQb,X0)
| ~ quotient(idQ_idQa,idQ_idQb,X1)
| less_equal(X0,X1) ),
inference(resolution,[status(thm)],[f288,f26]) ).
fof(f391,plain,
! [X0,X1] :
( ~ quotient(divide(identity,idQ_idQa),idQb_Q__idQ_idQa,X0)
| ~ quotient(idQ_idQb,idQ_idQa,X1)
| less_equal(X0,X1) ),
inference(resolution,[status(thm)],[f291,f26]) ).
fof(f431,plain,
! [X0] :
( ~ quotient(idQ_idQa,idQ_idQb,X0)
| less_equal(divide(divide(identity,idQ_idQb),idQa_Q__idQ_idQb),X0) ),
inference(resolution,[status(thm)],[f390,f26]) ).
fof(f432,plain,
less_equal(divide(divide(identity,idQ_idQb),idQa_Q__idQ_idQb),divide(idQ_idQa,idQ_idQb)),
inference(resolution,[status(thm)],[f431,f26]) ).
fof(f441,plain,
quotient(divide(divide(identity,idQ_idQb),idQa_Q__idQ_idQb),divide(idQ_idQa,idQ_idQb),zero),
inference(resolution,[status(thm)],[f432,f17]) ).
fof(f451,plain,
divide(divide(divide(identity,idQ_idQb),idQa_Q__idQ_idQb),divide(idQ_idQa,idQ_idQb)) = zero,
inference(resolution,[status(thm)],[f441,f92]) ).
fof(f468,plain,
! [X0] :
( ~ quotient(idQ_idQb,idQ_idQa,X0)
| less_equal(divide(divide(identity,idQ_idQa),idQb_Q__idQ_idQa),X0) ),
inference(resolution,[status(thm)],[f391,f26]) ).
fof(f469,plain,
less_equal(divide(divide(identity,idQ_idQa),idQb_Q__idQ_idQa),divide(idQ_idQb,idQ_idQa)),
inference(resolution,[status(thm)],[f468,f26]) ).
fof(f478,plain,
quotient(divide(divide(identity,idQ_idQa),idQb_Q__idQ_idQa),divide(idQ_idQb,idQ_idQa),zero),
inference(resolution,[status(thm)],[f469,f17]) ).
fof(f480,plain,
! [X0,X1,X2,X3] :
( ~ quotient(identity,X0,X1)
| ~ quotient(X1,divide(a,X0),X2)
| ~ quotient(idQa,X0,X3)
| less_equal(X2,X3) ),
inference(resolution,[status(thm)],[f108,f26]) ).
fof(f485,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X2,zero,X3)
| ~ quotient(divide(X0,divide(X1,X4)),X1,X5)
| less_equal(X3,X5) ),
inference(resolution,[status(thm)],[f113,f51]) ).
fof(f488,plain,
! [X0,X1,X2,X3] :
( ~ quotient(X0,idQa,X1)
| ~ quotient(X1,idQ_idQa,X2)
| ~ quotient(divide(X0,identity),idQa,X3)
| less_equal(X2,X3) ),
inference(resolution,[status(thm)],[f113,f33]) ).
fof(f489,plain,
! [X0,X1,X2,X3] :
( ~ quotient(X0,idQa,X1)
| ~ quotient(X1,idQ_idQa,X2)
| ~ quotient(zero,idQa,X3)
| less_equal(X2,X3) ),
inference(forward_demodulation,[status(thm)],[f94,f488]) ).
fof(f490,plain,
! [X0,X1,X2,X3] :
( ~ quotient(X0,idQb,X1)
| ~ quotient(X1,idQ_idQb,X2)
| ~ quotient(divide(X0,identity),idQb,X3)
| less_equal(X2,X3) ),
inference(resolution,[status(thm)],[f113,f31]) ).
fof(f491,plain,
! [X0,X1,X2,X3] :
( ~ quotient(X0,idQb,X1)
| ~ quotient(X1,idQ_idQb,X2)
| ~ quotient(zero,idQb,X3)
| less_equal(X2,X3) ),
inference(forward_demodulation,[status(thm)],[f94,f490]) ).
fof(f492,plain,
! [X0,X1,X2,X3] :
( ~ quotient(X0,b,X1)
| ~ quotient(X1,idQb,X2)
| ~ quotient(divide(X0,identity),b,X3)
| less_equal(X2,X3) ),
inference(resolution,[status(thm)],[f113,f30]) ).
fof(f493,plain,
! [X0,X1,X2,X3] :
( ~ quotient(X0,b,X1)
| ~ quotient(X1,idQb,X2)
| ~ quotient(zero,b,X3)
| less_equal(X2,X3) ),
inference(forward_demodulation,[status(thm)],[f94,f492]) ).
fof(f494,plain,
! [X0,X1,X2,X3] :
( ~ quotient(X0,a,X1)
| ~ quotient(X1,idQa,X2)
| ~ quotient(divide(X0,identity),a,X3)
| less_equal(X2,X3) ),
inference(resolution,[status(thm)],[f113,f29]) ).
fof(f495,plain,
! [X0,X1,X2,X3] :
( ~ quotient(X0,a,X1)
| ~ quotient(X1,idQa,X2)
| ~ quotient(zero,a,X3)
| less_equal(X2,X3) ),
inference(forward_demodulation,[status(thm)],[f94,f494]) ).
fof(f496,plain,
! [X0,X1,X2,X3,X4] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X2,zero,X3)
| ~ quotient(divide(X0,zero),X1,X4)
| less_equal(X3,X4) ),
inference(resolution,[status(thm)],[f113,f36]) ).
fof(f498,plain,
! [X0,X1,X2,X3] :
( ~ quotient(X0,idQ_idQb,X1)
| ~ quotient(X1,idQa_Q__idQ_idQb,X2)
| ~ quotient(divide(X0,idQa),idQ_idQb,X3)
| less_equal(X2,X3) ),
inference(resolution,[status(thm)],[f113,f32]) ).
fof(f500,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X2,divide(X3,X1),X4)
| ~ quotient(divide(X0,X3),X1,X5)
| less_equal(X4,X5) ),
inference(resolution,[status(thm)],[f113,f26]) ).
fof(f528,plain,
divide(divide(divide(identity,idQ_idQa),idQb_Q__idQ_idQa),divide(idQ_idQb,idQ_idQa)) = zero,
inference(resolution,[status(thm)],[f478,f92]) ).
fof(f590,plain,
! [X0,X1,X2] :
( ~ quotient(divide(X0,idQ_idQb),idQa_Q__idQ_idQb,X1)
| ~ quotient(divide(X0,idQa),idQ_idQb,X2)
| less_equal(X1,X2) ),
inference(resolution,[status(thm)],[f498,f26]) ).
fof(f642,plain,
! [X0,X1,X2,X3,X4] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X2,divide(identity,X1),X3)
| ~ quotient(zero,X1,X4)
| less_equal(X3,X4) ),
inference(resolution,[status(thm)],[f112,f26]) ).
fof(f648,plain,
! [X0,X1,X2] :
( ~ quotient(identity,X0,X1)
| ~ quotient(idQ_idQa,X0,X2)
| less_equal(divide(X1,divide(idQa,X0)),X2) ),
inference(resolution,[status(thm)],[f290,f26]) ).
fof(f654,plain,
! [X0,X1] :
( ~ quotient(idQa_Q__idQ_idQb,X0,X1)
| less_equal(divide(divide(idQa,X0),divide(idQ_idQb,X0)),X1) ),
inference(resolution,[status(thm)],[f319,f26]) ).
fof(f688,plain,
less_equal(divide(divide(idQa,idQa),divide(idQ_idQb,idQa)),zero),
inference(resolution,[status(thm)],[f654,f48]) ).
fof(f693,plain,
zero = divide(divide(idQa,idQa),divide(idQ_idQb,idQa)),
inference(resolution,[status(thm)],[f688,f75]) ).
fof(f706,plain,
( spl0_58
<=> less_equal(divide(idQa,idQa),zero) ),
introduced(split_symbol_definition) ).
fof(f708,plain,
( ~ less_equal(divide(idQa,idQa),zero)
| spl0_58 ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,plain,
( spl0_59
<=> divide(divide(idQa,idQa),divide(idQ_idQb,idQa)) = divide(idQa,idQa) ),
introduced(split_symbol_definition) ).
fof(f710,plain,
( divide(divide(idQa,idQa),divide(idQ_idQb,idQa)) = divide(idQa,idQa)
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,plain,
( ~ less_equal(divide(idQa,idQa),zero)
| divide(divide(idQa,idQa),divide(idQ_idQb,idQa)) = divide(idQa,idQa) ),
inference(paramodulation,[status(thm)],[f693,f58]) ).
fof(f713,plain,
( ~ spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f712,f706,f709]) ).
fof(f859,plain,
! [X0,X1,X2] :
( ~ quotient(identity,X0,X1)
| ~ quotient(idQ_idQb,X0,X2)
| less_equal(divide(X1,divide(idQb,X0)),X2) ),
inference(resolution,[status(thm)],[f293,f26]) ).
fof(f950,plain,
! [X0,X1] :
( ~ quotient(idQ_idQa,idQ_idQa,X0)
| ~ quotient(zero,idQa,X1)
| less_equal(X0,X1) ),
inference(resolution,[status(thm)],[f489,f33]) ).
fof(f952,plain,
! [X0,X1,X2] :
( ~ quotient(divide(X0,idQa),idQ_idQa,X1)
| ~ quotient(zero,idQa,X2)
| less_equal(X1,X2) ),
inference(resolution,[status(thm)],[f489,f26]) ).
fof(f956,plain,
! [X0] :
( ~ quotient(zero,idQa,X0)
| less_equal(divide(idQ_idQa,idQ_idQa),X0) ),
inference(resolution,[status(thm)],[f950,f26]) ).
fof(f957,plain,
less_equal(divide(idQ_idQa,idQ_idQa),zero),
inference(resolution,[status(thm)],[f956,f36]) ).
fof(f960,plain,
zero = divide(idQ_idQa,idQ_idQa),
inference(resolution,[status(thm)],[f957,f75]) ).
fof(f1002,plain,
quotient(idQ_idQa,idQ_idQa,zero),
inference(paramodulation,[status(thm)],[f960,f26]) ).
fof(f1026,plain,
! [X0,X1,X2] :
( ~ quotient(identity,X0,X1)
| ~ quotient(idQb,X0,X2)
| less_equal(divide(X1,divide(b,X0)),X2) ),
inference(resolution,[status(thm)],[f295,f26]) ).
fof(f1033,plain,
! [X0,X1,X2] :
( ~ quotient(identity,X0,X1)
| ~ quotient(idQa,X0,X2)
| less_equal(divide(X1,divide(a,X0)),X2) ),
inference(resolution,[status(thm)],[f480,f26]) ).
fof(f1082,plain,
! [X0,X1] :
( ~ quotient(divide(X0,idQa),idQ_idQb,X1)
| less_equal(divide(divide(X0,idQ_idQb),idQa_Q__idQ_idQb),X1) ),
inference(resolution,[status(thm)],[f590,f26]) ).
fof(f1094,plain,
! [X0,X1] :
( ~ quotient(zero,idQa,X0)
| less_equal(divide(divide(X1,idQa),idQ_idQa),X0) ),
inference(resolution,[status(thm)],[f952,f26]) ).
fof(f1099,plain,
! [X0] : less_equal(divide(divide(X0,idQa),idQ_idQa),zero),
inference(resolution,[status(thm)],[f1094,f36]) ).
fof(f1102,plain,
! [X0] : zero = divide(divide(X0,idQa),idQ_idQa),
inference(resolution,[status(thm)],[f1099,f75]) ).
fof(f1128,plain,
! [X0] : quotient(divide(X0,idQa),idQ_idQa,zero),
inference(paramodulation,[status(thm)],[f1102,f26]) ).
fof(f1131,plain,
! [X0] : less_equal(divide(X0,idQa),idQ_idQa),
inference(resolution,[status(thm)],[f1128,f18]) ).
fof(f1142,plain,
! [X0] :
( ~ less_equal(idQ_idQa,divide(X0,idQa))
| divide(X0,idQa) = idQ_idQa ),
inference(resolution,[status(thm)],[f1131,f24]) ).
fof(f1156,plain,
! [X0,X1] :
( ~ quotient(idQ_idQb,idQ_idQb,X0)
| ~ quotient(zero,idQb,X1)
| less_equal(X0,X1) ),
inference(resolution,[status(thm)],[f491,f31]) ).
fof(f1158,plain,
! [X0,X1,X2] :
( ~ quotient(divide(X0,idQb),idQ_idQb,X1)
| ~ quotient(zero,idQb,X2)
| less_equal(X1,X2) ),
inference(resolution,[status(thm)],[f491,f26]) ).
fof(f1160,plain,
! [X0,X1] :
( ~ quotient(idQb,idQb,X0)
| ~ quotient(zero,b,X1)
| less_equal(X0,X1) ),
inference(resolution,[status(thm)],[f493,f30]) ).
fof(f1162,plain,
! [X0,X1,X2] :
( ~ quotient(divide(X0,b),idQb,X1)
| ~ quotient(zero,b,X2)
| less_equal(X1,X2) ),
inference(resolution,[status(thm)],[f493,f26]) ).
fof(f1164,plain,
! [X0,X1] :
( ~ quotient(idQa,idQa,X0)
| ~ quotient(zero,a,X1)
| less_equal(X0,X1) ),
inference(resolution,[status(thm)],[f495,f29]) ).
fof(f1166,plain,
! [X0,X1,X2] :
( ~ quotient(divide(X0,a),idQa,X1)
| ~ quotient(zero,a,X2)
| less_equal(X1,X2) ),
inference(resolution,[status(thm)],[f495,f26]) ).
fof(f1263,plain,
less_equal(divide(divide(idQ_idQb,idQ_idQb),idQa_Q__idQ_idQb),zero),
inference(resolution,[status(thm)],[f1082,f51]) ).
fof(f1272,plain,
zero = divide(divide(idQ_idQb,idQ_idQb),idQa_Q__idQ_idQb),
inference(resolution,[status(thm)],[f1263,f75]) ).
fof(f1285,plain,
( spl0_84
<=> less_equal(divide(idQ_idQb,idQ_idQb),zero) ),
introduced(split_symbol_definition) ).
fof(f1287,plain,
( ~ less_equal(divide(idQ_idQb,idQ_idQb),zero)
| spl0_84 ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,plain,
( spl0_85
<=> divide(divide(idQ_idQb,idQ_idQb),idQa_Q__idQ_idQb) = divide(idQ_idQb,idQ_idQb) ),
introduced(split_symbol_definition) ).
fof(f1289,plain,
( divide(divide(idQ_idQb,idQ_idQb),idQa_Q__idQ_idQb) = divide(idQ_idQb,idQ_idQb)
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1291,plain,
( ~ less_equal(divide(idQ_idQb,idQ_idQb),zero)
| divide(divide(idQ_idQb,idQ_idQb),idQa_Q__idQ_idQb) = divide(idQ_idQb,idQ_idQb) ),
inference(paramodulation,[status(thm)],[f1272,f58]) ).
fof(f1292,plain,
( ~ spl0_84
| spl0_85 ),
inference(split_clause,[status(thm)],[f1291,f1285,f1288]) ).
fof(f1346,plain,
! [X0] :
( ~ quotient(zero,idQb,X0)
| less_equal(divide(idQ_idQb,idQ_idQb),X0) ),
inference(resolution,[status(thm)],[f1156,f26]) ).
fof(f1347,plain,
less_equal(divide(idQ_idQb,idQ_idQb),zero),
inference(resolution,[status(thm)],[f1346,f36]) ).
fof(f1348,plain,
( $false
| spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f1347,f1287]) ).
fof(f1349,plain,
spl0_84,
inference(contradiction_clause,[status(thm)],[f1348]) ).
fof(f1352,plain,
( zero = divide(idQ_idQb,idQ_idQb)
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f1272,f1289]) ).
fof(f1387,plain,
( quotient(idQ_idQb,idQ_idQb,zero)
| ~ spl0_85 ),
inference(paramodulation,[status(thm)],[f1352,f26]) ).
fof(f1436,plain,
! [X0,X1,X2,X3] :
( ~ quotient(divide(X0,X1),zero,X2)
| ~ quotient(divide(X0,zero),X1,X3)
| less_equal(X2,X3) ),
inference(resolution,[status(thm)],[f496,f26]) ).
fof(f1467,plain,
! [X0,X1,X2] :
( ~ quotient(idQb_Q__idQ_idQa,divide(X0,idQ_idQa),X1)
| ~ quotient(divide(idQb,X0),idQ_idQa,X2)
| less_equal(X1,X2) ),
inference(resolution,[status(thm)],[f500,f34]) ).
fof(f1468,plain,
! [X0,X1,X2] :
( ~ quotient(idQa_Q__idQ_idQb,divide(X0,idQ_idQb),X1)
| ~ quotient(divide(idQa,X0),idQ_idQb,X2)
| less_equal(X1,X2) ),
inference(resolution,[status(thm)],[f500,f32]) ).
fof(f1519,plain,
! [X0] :
( ~ quotient(zero,b,X0)
| less_equal(divide(idQb,idQb),X0) ),
inference(resolution,[status(thm)],[f1160,f26]) ).
fof(f1520,plain,
less_equal(divide(idQb,idQb),zero),
inference(resolution,[status(thm)],[f1519,f36]) ).
fof(f1521,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f1520,f336]) ).
fof(f1522,plain,
spl0_26,
inference(contradiction_clause,[status(thm)],[f1521]) ).
fof(f1525,plain,
( zero = divide(idQb,idQb)
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f321,f338]) ).
fof(f1585,plain,
( quotient(idQb,idQb,zero)
| ~ spl0_27 ),
inference(paramodulation,[status(thm)],[f1525,f26]) ).
fof(f1706,plain,
! [X0,X1,X2] :
( ~ quotient(idQb,zero,X0)
| ~ quotient(divide(identity,divide(b,X1)),b,X2)
| less_equal(X0,X2) ),
inference(resolution,[status(thm)],[f485,f30]) ).
fof(f1707,plain,
! [X0,X1,X2] :
( ~ quotient(idQa,zero,X0)
| ~ quotient(divide(identity,divide(a,X1)),a,X2)
| less_equal(X0,X2) ),
inference(resolution,[status(thm)],[f485,f29]) ).
fof(f1714,plain,
! [X0,X1,X2,X3,X4] :
( ~ quotient(divide(X0,X1),zero,X2)
| ~ quotient(divide(X0,divide(X1,X3)),X1,X4)
| less_equal(X2,X4) ),
inference(resolution,[status(thm)],[f485,f26]) ).
fof(f1754,plain,
! [X0] :
( ~ quotient(zero,a,X0)
| less_equal(divide(idQa,idQa),X0) ),
inference(resolution,[status(thm)],[f1164,f26]) ).
fof(f1755,plain,
less_equal(divide(idQa,idQa),zero),
inference(resolution,[status(thm)],[f1754,f36]) ).
fof(f1756,plain,
( $false
| spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f1755,f708]) ).
fof(f1757,plain,
spl0_58,
inference(contradiction_clause,[status(thm)],[f1756]) ).
fof(f1760,plain,
( zero = divide(idQa,idQa)
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f693,f710]) ).
fof(f1822,plain,
( quotient(idQa,idQa,zero)
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f1760,f26]) ).
fof(f1904,plain,
! [X0,X1] :
( ~ quotient(divide(idQb,X0),idQ_idQa,X1)
| less_equal(divide(idQb_Q__idQ_idQa,divide(X0,idQ_idQa)),X1) ),
inference(resolution,[status(thm)],[f1467,f26]) ).
fof(f1972,plain,
! [X0,X1] :
( ~ quotient(divide(idQa,X0),idQ_idQb,X1)
| less_equal(divide(idQa_Q__idQ_idQb,divide(X0,idQ_idQb)),X1) ),
inference(resolution,[status(thm)],[f1468,f26]) ).
fof(f2457,plain,
! [X0,X1] :
( ~ quotient(zero,idQb,X0)
| less_equal(divide(divide(X1,idQb),idQ_idQb),X0) ),
inference(resolution,[status(thm)],[f1158,f26]) ).
fof(f2463,plain,
! [X0] : less_equal(divide(divide(X0,idQb),idQ_idQb),zero),
inference(resolution,[status(thm)],[f2457,f36]) ).
fof(f2466,plain,
! [X0] : zero = divide(divide(X0,idQb),idQ_idQb),
inference(resolution,[status(thm)],[f2463,f75]) ).
fof(f2504,plain,
! [X0] : quotient(divide(X0,idQb),idQ_idQb,zero),
inference(paramodulation,[status(thm)],[f2466,f26]) ).
fof(f2507,plain,
! [X0] : less_equal(divide(X0,idQb),idQ_idQb),
inference(resolution,[status(thm)],[f2504,f18]) ).
fof(f2522,plain,
! [X0] :
( ~ less_equal(idQ_idQb,divide(X0,idQb))
| divide(X0,idQb) = idQ_idQb ),
inference(resolution,[status(thm)],[f2507,f24]) ).
fof(f2561,plain,
! [X0,X1] :
( ~ quotient(zero,b,X0)
| less_equal(divide(divide(X1,b),idQb),X0) ),
inference(resolution,[status(thm)],[f1162,f26]) ).
fof(f2565,plain,
! [X0] : less_equal(divide(divide(X0,b),idQb),zero),
inference(resolution,[status(thm)],[f2561,f36]) ).
fof(f2616,plain,
! [X0,X1,X2,X3] :
( ~ quotient(divide(X0,X1),divide(identity,X1),X2)
| ~ quotient(zero,X1,X3)
| less_equal(X2,X3) ),
inference(resolution,[status(thm)],[f642,f26]) ).
fof(f2624,plain,
! [X0,X1] :
( ~ quotient(idQ_idQa,X0,X1)
| less_equal(divide(divide(identity,X0),divide(idQa,X0)),X1) ),
inference(resolution,[status(thm)],[f648,f26]) ).
fof(f2695,plain,
! [X0] : less_equal(divide(idQb_Q__idQ_idQa,divide(X0,idQ_idQa)),divide(divide(idQb,X0),idQ_idQa)),
inference(resolution,[status(thm)],[f1904,f26]) ).
fof(f2781,plain,
! [X0] : zero = divide(divide(X0,b),idQb),
inference(resolution,[status(thm)],[f2565,f75]) ).
fof(f2822,plain,
! [X0] : quotient(divide(X0,b),idQb,zero),
inference(paramodulation,[status(thm)],[f2781,f26]) ).
fof(f2827,plain,
! [X0] : less_equal(divide(X0,b),idQb),
inference(resolution,[status(thm)],[f2822,f18]) ).
fof(f2842,plain,
! [X0] :
( ~ less_equal(idQb,divide(X0,b))
| divide(X0,b) = idQb ),
inference(resolution,[status(thm)],[f2827,f24]) ).
fof(f2857,plain,
! [X0,X1] :
( ~ quotient(idQ_idQb,X0,X1)
| less_equal(divide(divide(identity,X0),divide(idQb,X0)),X1) ),
inference(resolution,[status(thm)],[f859,f26]) ).
fof(f2859,plain,
! [X0] :
( ~ quotient(idQb,idQb,X0)
| less_equal(divide(idQ_idQb,divide(b,idQb)),X0) ),
inference(resolution,[status(thm)],[f1026,f31]) ).
fof(f2865,plain,
! [X0] :
( ~ quotient(idQa,idQa,X0)
| less_equal(divide(idQ_idQa,divide(a,idQa)),X0) ),
inference(resolution,[status(thm)],[f1033,f33]) ).
fof(f3054,plain,
! [X0] :
( ~ less_equal(divide(divide(idQb,X0),idQ_idQa),divide(idQb_Q__idQ_idQa,divide(X0,idQ_idQa)))
| divide(idQb_Q__idQ_idQa,divide(X0,idQ_idQa)) = divide(divide(idQb,X0),idQ_idQa) ),
inference(resolution,[status(thm)],[f2695,f24]) ).
fof(f3090,plain,
! [X0,X1] :
( ~ quotient(zero,a,X0)
| less_equal(divide(divide(X1,a),idQa),X0) ),
inference(resolution,[status(thm)],[f1166,f26]) ).
fof(f3164,plain,
! [X0] : less_equal(divide(idQa_Q__idQ_idQb,divide(X0,idQ_idQb)),divide(divide(idQa,X0),idQ_idQb)),
inference(resolution,[status(thm)],[f1972,f26]) ).
fof(f3246,plain,
! [X0] : less_equal(divide(divide(X0,a),idQa),zero),
inference(resolution,[status(thm)],[f3090,f36]) ).
fof(f3249,plain,
! [X0] : zero = divide(divide(X0,a),idQa),
inference(resolution,[status(thm)],[f3246,f75]) ).
fof(f3289,plain,
! [X0] : quotient(divide(X0,a),idQa,zero),
inference(paramodulation,[status(thm)],[f3249,f26]) ).
fof(f3294,plain,
! [X0] : less_equal(divide(X0,a),idQa),
inference(resolution,[status(thm)],[f3289,f18]) ).
fof(f3309,plain,
! [X0] :
( ~ less_equal(idQa,divide(X0,a))
| divide(X0,a) = idQa ),
inference(resolution,[status(thm)],[f3294,f24]) ).
fof(f3392,plain,
! [X0] :
( ~ less_equal(divide(divide(idQa,X0),idQ_idQb),divide(idQa_Q__idQ_idQb,divide(X0,idQ_idQb)))
| divide(idQa_Q__idQ_idQb,divide(X0,idQ_idQb)) = divide(divide(idQa,X0),idQ_idQb) ),
inference(resolution,[status(thm)],[f3164,f24]) ).
fof(f3534,plain,
! [X0,X1,X2] :
( ~ quotient(divide(X0,zero),X1,X2)
| less_equal(divide(divide(X0,X1),zero),X2) ),
inference(resolution,[status(thm)],[f1436,f26]) ).
fof(f4303,plain,
( less_equal(divide(idQ_idQb,divide(b,idQb)),zero)
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f2859,f1585]) ).
fof(f4306,plain,
( zero = divide(idQ_idQb,divide(b,idQb))
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f4303,f75]) ).
fof(f4339,plain,
( quotient(idQ_idQb,divide(b,idQb),zero)
| ~ spl0_27 ),
inference(paramodulation,[status(thm)],[f4306,f26]) ).
fof(f4356,plain,
( less_equal(idQ_idQb,divide(b,idQb))
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f4339,f18]) ).
fof(f4370,plain,
( divide(b,idQb) = idQ_idQb
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f4356,f2522]) ).
fof(f5238,plain,
( less_equal(divide(idQ_idQa,divide(a,idQa)),zero)
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f2865,f1822]) ).
fof(f5241,plain,
( zero = divide(idQ_idQa,divide(a,idQa))
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f5238,f75]) ).
fof(f5279,plain,
( quotient(idQ_idQa,divide(a,idQa),zero)
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f5241,f26]) ).
fof(f5296,plain,
( less_equal(idQ_idQa,divide(a,idQa))
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f5279,f18]) ).
fof(f5310,plain,
( divide(a,idQa) = idQ_idQa
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f5296,f1142]) ).
fof(f5697,plain,
! [X0,X1] :
( ~ quotient(divide(identity,divide(b,X0)),b,X1)
| less_equal(divide(idQb,zero),X1) ),
inference(resolution,[status(thm)],[f1706,f26]) ).
fof(f5698,plain,
! [X0,X1] :
( ~ quotient(divide(identity,divide(a,X0)),a,X1)
| less_equal(divide(idQa,zero),X1) ),
inference(resolution,[status(thm)],[f1707,f26]) ).
fof(f6370,plain,
! [X0,X1,X2,X3] :
( ~ quotient(divide(X0,divide(X1,X2)),X1,X3)
| less_equal(divide(divide(X0,X1),zero),X3) ),
inference(resolution,[status(thm)],[f1714,f26]) ).
fof(f6438,plain,
! [X0,X1,X2] :
( ~ quotient(zero,X0,X1)
| less_equal(divide(divide(X2,X0),divide(identity,X0)),X1) ),
inference(resolution,[status(thm)],[f2616,f26]) ).
fof(f6974,plain,
less_equal(divide(divide(identity,idQ_idQa),divide(idQa,idQ_idQa)),zero),
inference(resolution,[status(thm)],[f2624,f1002]) ).
fof(f6983,plain,
( less_equal(divide(divide(identity,idQ_idQb),divide(idQb,idQ_idQb)),zero)
| ~ spl0_85 ),
inference(resolution,[status(thm)],[f2857,f1387]) ).
fof(f6999,plain,
( zero = divide(divide(identity,idQ_idQb),divide(idQb,idQ_idQb))
| ~ spl0_85 ),
inference(resolution,[status(thm)],[f6983,f75]) ).
fof(f7036,plain,
( quotient(divide(identity,idQ_idQb),divide(idQb,idQ_idQb),zero)
| ~ spl0_85 ),
inference(paramodulation,[status(thm)],[f6999,f26]) ).
fof(f7055,plain,
( less_equal(divide(identity,idQ_idQb),divide(idQb,idQ_idQb))
| ~ spl0_85 ),
inference(resolution,[status(thm)],[f7036,f18]) ).
fof(f7078,plain,
( spl0_391
<=> less_equal(divide(idQb,idQ_idQb),divide(identity,idQ_idQb)) ),
introduced(split_symbol_definition) ).
fof(f7080,plain,
( ~ less_equal(divide(idQb,idQ_idQb),divide(identity,idQ_idQb))
| spl0_391 ),
inference(component_clause,[status(thm)],[f7078]) ).
fof(f7081,plain,
( spl0_392
<=> divide(identity,idQ_idQb) = divide(idQb,idQ_idQb) ),
introduced(split_symbol_definition) ).
fof(f7082,plain,
( divide(identity,idQ_idQb) = divide(idQb,idQ_idQb)
| ~ spl0_392 ),
inference(component_clause,[status(thm)],[f7081]) ).
fof(f7084,plain,
( ~ less_equal(divide(idQb,idQ_idQb),divide(identity,idQ_idQb))
| divide(identity,idQ_idQb) = divide(idQb,idQ_idQb)
| ~ spl0_85 ),
inference(resolution,[status(thm)],[f7055,f24]) ).
fof(f7085,plain,
( ~ spl0_391
| spl0_392
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f7084,f7078,f7081,f1288]) ).
fof(f7252,plain,
zero = divide(divide(identity,idQ_idQa),divide(idQa,idQ_idQa)),
inference(resolution,[status(thm)],[f6974,f75]) ).
fof(f7289,plain,
quotient(divide(identity,idQ_idQa),divide(idQa,idQ_idQa),zero),
inference(paramodulation,[status(thm)],[f7252,f26]) ).
fof(f7308,plain,
less_equal(divide(identity,idQ_idQa),divide(idQa,idQ_idQa)),
inference(resolution,[status(thm)],[f7289,f18]) ).
fof(f7322,plain,
( spl0_416
<=> less_equal(divide(idQa,idQ_idQa),divide(identity,idQ_idQa)) ),
introduced(split_symbol_definition) ).
fof(f7324,plain,
( ~ less_equal(divide(idQa,idQ_idQa),divide(identity,idQ_idQa))
| spl0_416 ),
inference(component_clause,[status(thm)],[f7322]) ).
fof(f7325,plain,
( spl0_417
<=> divide(identity,idQ_idQa) = divide(idQa,idQ_idQa) ),
introduced(split_symbol_definition) ).
fof(f7326,plain,
( divide(identity,idQ_idQa) = divide(idQa,idQ_idQa)
| ~ spl0_417 ),
inference(component_clause,[status(thm)],[f7325]) ).
fof(f7328,plain,
( ~ less_equal(divide(idQa,idQ_idQa),divide(identity,idQ_idQa))
| divide(identity,idQ_idQa) = divide(idQa,idQ_idQa) ),
inference(resolution,[status(thm)],[f7308,f24]) ).
fof(f7329,plain,
( ~ spl0_416
| spl0_417 ),
inference(split_clause,[status(thm)],[f7328,f7322,f7325]) ).
fof(f7712,plain,
! [X0] : less_equal(divide(divide(X0,X0),zero),zero),
inference(resolution,[status(thm)],[f3534,f51]) ).
fof(f7960,plain,
! [X0] : zero = divide(divide(X0,X0),zero),
inference(resolution,[status(thm)],[f7712,f75]) ).
fof(f8018,plain,
! [X0] : quotient(divide(X0,X0),zero,zero),
inference(paramodulation,[status(thm)],[f7960,f26]) ).
fof(f8027,plain,
! [X0] : less_equal(divide(X0,X0),zero),
inference(resolution,[status(thm)],[f8018,f18]) ).
fof(f8050,plain,
! [X0] : zero = divide(X0,X0),
inference(resolution,[status(thm)],[f8027,f75]) ).
fof(f8427,plain,
! [X0] : quotient(X0,X0,zero),
inference(paramodulation,[status(thm)],[f8050,f26]) ).
fof(f8430,plain,
! [X0] : less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(resolution,[status(thm)],[f8427,f3534]) ).
fof(f8847,plain,
! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
inference(resolution,[status(thm)],[f8430,f75]) ).
fof(f8893,plain,
! [X0] : quotient(divide(X0,divide(X0,zero)),zero,zero),
inference(paramodulation,[status(thm)],[f8847,f26]) ).
fof(f8899,plain,
! [X0] : less_equal(divide(X0,divide(X0,zero)),zero),
inference(resolution,[status(thm)],[f8893,f18]) ).
fof(f8923,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[status(thm)],[f8899,f75]) ).
fof(f9172,plain,
! [X0] : quotient(X0,divide(X0,zero),zero),
inference(paramodulation,[status(thm)],[f8923,f26]) ).
fof(f9630,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(resolution,[status(thm)],[f9172,f18]) ).
fof(f9651,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[status(thm)],[f9630,f58]) ).
fof(f14329,plain,
! [X0,X1] :
( ~ quotient(divide(identity,divide(b,X0)),b,X1)
| less_equal(idQb,X1) ),
inference(forward_demodulation,[status(thm)],[f9651,f5697]) ).
fof(f14331,plain,
! [X0] :
( ~ quotient(divide(identity,idQ_idQb),b,X0)
| less_equal(idQb,X0)
| ~ spl0_27 ),
inference(paramodulation,[status(thm)],[f4370,f14329]) ).
fof(f14338,plain,
! [X0,X1] :
( ~ quotient(divide(identity,divide(a,X0)),a,X1)
| less_equal(idQa,X1) ),
inference(forward_demodulation,[status(thm)],[f9651,f5698]) ).
fof(f14340,plain,
! [X0] :
( ~ quotient(divide(identity,idQ_idQa),a,X0)
| less_equal(idQa,X0)
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f5310,f14338]) ).
fof(f14347,plain,
! [X0,X1,X2,X3] :
( ~ quotient(divide(X0,divide(X1,X2)),X1,X3)
| less_equal(divide(X0,X1),X3) ),
inference(forward_demodulation,[status(thm)],[f9651,f6370]) ).
fof(f14368,plain,
! [X0,X1,X2] : less_equal(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1)),
inference(resolution,[status(thm)],[f14347,f26]) ).
fof(f14547,plain,
( less_equal(idQb,divide(divide(identity,idQ_idQb),b))
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f14331,f26]) ).
fof(f14548,plain,
( divide(divide(identity,idQ_idQb),b) = idQb
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f14547,f2842]) ).
fof(f14624,plain,
( spl0_622
<=> less_equal(divide(identity,idQ_idQb),idQb) ),
introduced(split_symbol_definition) ).
fof(f14626,plain,
( ~ less_equal(divide(identity,idQ_idQb),idQb)
| spl0_622 ),
inference(component_clause,[status(thm)],[f14624]) ).
fof(f14627,plain,
( spl0_623
<=> divide(divide(identity,idQ_idQb),b) = divide(identity,idQ_idQb) ),
introduced(split_symbol_definition) ).
fof(f14628,plain,
( divide(divide(identity,idQ_idQb),b) = divide(identity,idQ_idQb)
| ~ spl0_623 ),
inference(component_clause,[status(thm)],[f14627]) ).
fof(f14630,plain,
( ~ less_equal(divide(identity,idQ_idQb),idQb)
| divide(divide(identity,idQ_idQb),b) = divide(identity,idQ_idQb)
| ~ spl0_27 ),
inference(paramodulation,[status(thm)],[f14548,f58]) ).
fof(f14631,plain,
( ~ spl0_622
| spl0_623
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f14630,f14624,f14627,f337]) ).
fof(f15605,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),divide(identity,X1)),zero),
inference(resolution,[status(thm)],[f6438,f36]) ).
fof(f15741,plain,
( less_equal(idQa,divide(divide(identity,idQ_idQa),a))
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f14340,f26]) ).
fof(f15742,plain,
( divide(divide(identity,idQ_idQa),a) = idQa
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f15741,f3309]) ).
fof(f15800,plain,
( spl0_639
<=> less_equal(divide(identity,idQ_idQa),idQa) ),
introduced(split_symbol_definition) ).
fof(f15802,plain,
( ~ less_equal(divide(identity,idQ_idQa),idQa)
| spl0_639 ),
inference(component_clause,[status(thm)],[f15800]) ).
fof(f15803,plain,
( spl0_640
<=> divide(divide(identity,idQ_idQa),a) = divide(identity,idQ_idQa) ),
introduced(split_symbol_definition) ).
fof(f15804,plain,
( divide(divide(identity,idQ_idQa),a) = divide(identity,idQ_idQa)
| ~ spl0_640 ),
inference(component_clause,[status(thm)],[f15803]) ).
fof(f15806,plain,
( ~ less_equal(divide(identity,idQ_idQa),idQa)
| divide(divide(identity,idQ_idQa),a) = divide(identity,idQ_idQa)
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f15742,f58]) ).
fof(f15807,plain,
( ~ spl0_639
| spl0_640
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f15806,f15800,f15803,f709]) ).
fof(f17021,plain,
! [X0,X1] : zero = divide(divide(X0,X1),divide(identity,X1)),
inference(resolution,[status(thm)],[f15605,f75]) ).
fof(f17385,plain,
! [X0,X1] : quotient(divide(X0,X1),divide(identity,X1),zero),
inference(paramodulation,[status(thm)],[f17021,f26]) ).
fof(f17795,plain,
! [X0,X1] : less_equal(divide(X0,X1),divide(identity,X1)),
inference(resolution,[status(thm)],[f17385,f18]) ).
fof(f17934,plain,
( $false
| spl0_416 ),
inference(backward_subsumption_resolution,[status(thm)],[f7324,f17795]) ).
fof(f17935,plain,
spl0_416,
inference(contradiction_clause,[status(thm)],[f17934]) ).
fof(f17936,plain,
( $false
| spl0_391 ),
inference(backward_subsumption_resolution,[status(thm)],[f7080,f17795]) ).
fof(f17937,plain,
spl0_391,
inference(contradiction_clause,[status(thm)],[f17936]) ).
fof(f18181,plain,
( less_equal(divide(identity,idQ_idQa),idQa)
| ~ spl0_417 ),
inference(paramodulation,[status(thm)],[f7326,f46]) ).
fof(f18182,plain,
( $false
| spl0_639
| ~ spl0_417 ),
inference(forward_subsumption_resolution,[status(thm)],[f18181,f15802]) ).
fof(f18183,plain,
( spl0_639
| ~ spl0_417 ),
inference(contradiction_clause,[status(thm)],[f18182]) ).
fof(f18187,plain,
( idQa = divide(identity,idQ_idQa)
| ~ spl0_59
| ~ spl0_640 ),
inference(forward_demodulation,[status(thm)],[f15742,f15804]) ).
fof(f18211,plain,
( divide(divide(idQa,idQb_Q__idQ_idQa),divide(idQ_idQb,idQ_idQa)) = zero
| ~ spl0_59
| ~ spl0_640 ),
inference(backward_demodulation,[status(thm)],[f18187,f528]) ).
fof(f18727,plain,
( less_equal(divide(identity,idQ_idQb),idQb)
| ~ spl0_392 ),
inference(paramodulation,[status(thm)],[f7082,f46]) ).
fof(f18728,plain,
( $false
| spl0_622
| ~ spl0_392 ),
inference(forward_subsumption_resolution,[status(thm)],[f18727,f14626]) ).
fof(f18729,plain,
( spl0_622
| ~ spl0_392 ),
inference(contradiction_clause,[status(thm)],[f18728]) ).
fof(f18733,plain,
( idQb = divide(identity,idQ_idQb)
| ~ spl0_27
| ~ spl0_623 ),
inference(forward_demodulation,[status(thm)],[f14548,f14628]) ).
fof(f18760,plain,
( divide(divide(idQb,idQa_Q__idQ_idQb),divide(idQ_idQa,idQ_idQb)) = zero
| ~ spl0_27
| ~ spl0_623 ),
inference(backward_demodulation,[status(thm)],[f18733,f451]) ).
fof(f25709,plain,
( less_equal(divide(divide(idQa,idQb_Q__idQ_idQa),idQ_idQb),divide(zero,idQ_idQb))
| ~ spl0_59
| ~ spl0_640 ),
inference(paramodulation,[status(thm)],[f18211,f14368]) ).
fof(f25710,plain,
( less_equal(divide(divide(idQa,idQb_Q__idQ_idQa),idQ_idQb),zero)
| ~ spl0_59
| ~ spl0_640 ),
inference(forward_demodulation,[status(thm)],[f77,f25709]) ).
fof(f25815,plain,
( zero = divide(divide(idQa,idQb_Q__idQ_idQa),idQ_idQb)
| ~ spl0_59
| ~ spl0_640 ),
inference(resolution,[status(thm)],[f25710,f75]) ).
fof(f25829,plain,
( spl0_823
<=> less_equal(zero,divide(idQa_Q__idQ_idQb,divide(idQb_Q__idQ_idQa,idQ_idQb))) ),
introduced(split_symbol_definition) ).
fof(f25831,plain,
( ~ less_equal(zero,divide(idQa_Q__idQ_idQb,divide(idQb_Q__idQ_idQa,idQ_idQb)))
| spl0_823 ),
inference(component_clause,[status(thm)],[f25829]) ).
fof(f25832,plain,
( spl0_824
<=> divide(idQa_Q__idQ_idQb,divide(idQb_Q__idQ_idQa,idQ_idQb)) = divide(divide(idQa,idQb_Q__idQ_idQa),idQ_idQb) ),
introduced(split_symbol_definition) ).
fof(f25833,plain,
( divide(idQa_Q__idQ_idQb,divide(idQb_Q__idQ_idQa,idQ_idQb)) = divide(divide(idQa,idQb_Q__idQ_idQa),idQ_idQb)
| ~ spl0_824 ),
inference(component_clause,[status(thm)],[f25832]) ).
fof(f25835,plain,
( ~ less_equal(zero,divide(idQa_Q__idQ_idQb,divide(idQb_Q__idQ_idQa,idQ_idQb)))
| divide(idQa_Q__idQ_idQb,divide(idQb_Q__idQ_idQa,idQ_idQb)) = divide(divide(idQa,idQb_Q__idQ_idQa),idQ_idQb)
| ~ spl0_59
| ~ spl0_640 ),
inference(paramodulation,[status(thm)],[f25815,f3392]) ).
fof(f25836,plain,
( ~ spl0_823
| spl0_824
| ~ spl0_59
| ~ spl0_640 ),
inference(split_clause,[status(thm)],[f25835,f25829,f25832,f709,f15803]) ).
fof(f25955,plain,
( $false
| spl0_823 ),
inference(forward_subsumption_resolution,[status(thm)],[f25831,f23]) ).
fof(f25956,plain,
spl0_823,
inference(contradiction_clause,[status(thm)],[f25955]) ).
fof(f25965,plain,
( divide(idQa_Q__idQ_idQb,divide(idQb_Q__idQ_idQa,idQ_idQb)) = zero
| ~ spl0_59
| ~ spl0_640
| ~ spl0_824 ),
inference(forward_demodulation,[status(thm)],[f25815,f25833]) ).
fof(f26093,plain,
( less_equal(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),divide(zero,idQb_Q__idQ_idQa))
| ~ spl0_59
| ~ spl0_640
| ~ spl0_824 ),
inference(paramodulation,[status(thm)],[f25965,f14368]) ).
fof(f26094,plain,
( less_equal(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),zero)
| ~ spl0_59
| ~ spl0_640
| ~ spl0_824 ),
inference(forward_demodulation,[status(thm)],[f77,f26093]) ).
fof(f26157,plain,
( zero = divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa)
| ~ spl0_59
| ~ spl0_640
| ~ spl0_824 ),
inference(resolution,[status(thm)],[f26094,f75]) ).
fof(f26269,plain,
( quotient(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa,zero)
| ~ spl0_59
| ~ spl0_640
| ~ spl0_824 ),
inference(paramodulation,[status(thm)],[f26157,f26]) ).
fof(f26286,plain,
( less_equal(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa)
| ~ spl0_59
| ~ spl0_640
| ~ spl0_824 ),
inference(resolution,[status(thm)],[f26269,f18]) ).
fof(f26300,plain,
( spl0_842
<=> less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb) ),
introduced(split_symbol_definition) ).
fof(f26302,plain,
( ~ less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb)
| spl0_842 ),
inference(component_clause,[status(thm)],[f26300]) ).
fof(f26303,plain,
( spl0_843
<=> idQa_Q__idQ_idQb = idQb_Q__idQ_idQa ),
introduced(split_symbol_definition) ).
fof(f26304,plain,
( idQa_Q__idQ_idQb = idQb_Q__idQ_idQa
| ~ spl0_843 ),
inference(component_clause,[status(thm)],[f26303]) ).
fof(f26306,plain,
( ~ less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb)
| idQa_Q__idQ_idQb = idQb_Q__idQ_idQa
| ~ spl0_59
| ~ spl0_640
| ~ spl0_824 ),
inference(resolution,[status(thm)],[f26286,f24]) ).
fof(f26307,plain,
( ~ spl0_842
| spl0_843
| ~ spl0_59
| ~ spl0_640
| ~ spl0_824 ),
inference(split_clause,[status(thm)],[f26306,f26300,f26303,f709,f15803,f25832]) ).
fof(f28003,plain,
( less_equal(divide(divide(idQb,idQa_Q__idQ_idQb),idQ_idQa),divide(zero,idQ_idQa))
| ~ spl0_27
| ~ spl0_623 ),
inference(paramodulation,[status(thm)],[f18760,f14368]) ).
fof(f28004,plain,
( less_equal(divide(divide(idQb,idQa_Q__idQ_idQb),idQ_idQa),zero)
| ~ spl0_27
| ~ spl0_623 ),
inference(forward_demodulation,[status(thm)],[f77,f28003]) ).
fof(f28067,plain,
( zero = divide(divide(idQb,idQa_Q__idQ_idQb),idQ_idQa)
| ~ spl0_27
| ~ spl0_623 ),
inference(resolution,[status(thm)],[f28004,f75]) ).
fof(f28081,plain,
( spl0_931
<=> less_equal(zero,divide(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa))) ),
introduced(split_symbol_definition) ).
fof(f28083,plain,
( ~ less_equal(zero,divide(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa)))
| spl0_931 ),
inference(component_clause,[status(thm)],[f28081]) ).
fof(f28084,plain,
( spl0_932
<=> divide(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa)) = divide(divide(idQb,idQa_Q__idQ_idQb),idQ_idQa) ),
introduced(split_symbol_definition) ).
fof(f28085,plain,
( divide(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa)) = divide(divide(idQb,idQa_Q__idQ_idQb),idQ_idQa)
| ~ spl0_932 ),
inference(component_clause,[status(thm)],[f28084]) ).
fof(f28087,plain,
( ~ less_equal(zero,divide(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa)))
| divide(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa)) = divide(divide(idQb,idQa_Q__idQ_idQb),idQ_idQa)
| ~ spl0_27
| ~ spl0_623 ),
inference(paramodulation,[status(thm)],[f28067,f3054]) ).
fof(f28088,plain,
( ~ spl0_931
| spl0_932
| ~ spl0_27
| ~ spl0_623 ),
inference(split_clause,[status(thm)],[f28087,f28081,f28084,f337,f14627]) ).
fof(f28214,plain,
( $false
| spl0_931 ),
inference(forward_subsumption_resolution,[status(thm)],[f28083,f23]) ).
fof(f28215,plain,
spl0_931,
inference(contradiction_clause,[status(thm)],[f28214]) ).
fof(f28224,plain,
( divide(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa)) = zero
| ~ spl0_27
| ~ spl0_623
| ~ spl0_932 ),
inference(forward_demodulation,[status(thm)],[f28067,f28085]) ).
fof(f28318,plain,
( less_equal(divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),divide(zero,idQa_Q__idQ_idQb))
| ~ spl0_27
| ~ spl0_623
| ~ spl0_932 ),
inference(paramodulation,[status(thm)],[f28224,f14368]) ).
fof(f28319,plain,
( less_equal(divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),zero)
| ~ spl0_27
| ~ spl0_623
| ~ spl0_932 ),
inference(forward_demodulation,[status(thm)],[f77,f28318]) ).
fof(f28382,plain,
( zero = divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb)
| ~ spl0_27
| ~ spl0_623
| ~ spl0_932 ),
inference(resolution,[status(thm)],[f28319,f75]) ).
fof(f28498,plain,
( quotient(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb,zero)
| ~ spl0_27
| ~ spl0_623
| ~ spl0_932 ),
inference(paramodulation,[status(thm)],[f28382,f26]) ).
fof(f28515,plain,
( less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb)
| ~ spl0_27
| ~ spl0_623
| ~ spl0_932 ),
inference(resolution,[status(thm)],[f28498,f18]) ).
fof(f28516,plain,
( $false
| spl0_842
| ~ spl0_27
| ~ spl0_623
| ~ spl0_932 ),
inference(forward_subsumption_resolution,[status(thm)],[f28515,f26302]) ).
fof(f28517,plain,
( spl0_842
| ~ spl0_27
| ~ spl0_623
| ~ spl0_932 ),
inference(contradiction_clause,[status(thm)],[f28516]) ).
fof(f28531,plain,
( $false
| ~ spl0_843 ),
inference(forward_subsumption_resolution,[status(thm)],[f26304,f35]) ).
fof(f28532,plain,
~ spl0_843,
inference(contradiction_clause,[status(thm)],[f28531]) ).
fof(f28533,plain,
$false,
inference(sat_refutation,[status(thm)],[f341,f713,f1292,f1349,f1522,f1757,f7085,f7329,f14631,f15807,f17935,f17937,f18183,f18729,f25836,f25956,f26307,f28088,f28215,f28517,f28532]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 09:29:16 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 14.40/2.22 % Refutation found
% 14.40/2.22 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.40/2.22 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.93/2.25 % Elapsed time: 1.909730 seconds
% 14.93/2.25 % CPU time: 15.037003 seconds
% 14.93/2.25 % Memory used: 145.410 MB
%------------------------------------------------------------------------------