TSTP Solution File: HEN010-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : HEN010-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 : Tue Apr 30 20:21:48 EDT 2024
% Result : Unsatisfiable 6.36s 1.14s
% Output : CNFRefutation 6.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 8
% Syntax : Number of formulae : 87 ( 64 unt; 0 def)
% Number of atoms : 112 ( 58 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 202 ( 202 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| divide(X,Y) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( divide(X,Y) != zero
| less_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : less_equal(divide(X,Y),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Z,Y] : less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : less_equal(zero,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : less_equal(X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
! [X0,X1] : less_equal(divide(X0,X1),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
! [X0] : less_equal(zero,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f15,plain,
! [X0] : less_equal(X0,identity),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f16,plain,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f17,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
inference(resolution,[status(thm)],[f9,f11]) ).
fof(f18,plain,
! [X0] : divide(zero,X0) = zero,
inference(resolution,[status(thm)],[f9,f13]) ).
fof(f19,plain,
! [X0] : divide(X0,identity) = zero,
inference(resolution,[status(thm)],[f9,f15]) ).
fof(f49,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[status(thm)],[f14,f11]) ).
fof(f50,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[status(thm)],[f14,f13]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))
| divide(divide(X0,X2),divide(X1,X2)) = divide(divide(X0,X1),X2) ),
inference(resolution,[status(thm)],[f12,f14]) ).
fof(f69,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
inference(resolution,[status(thm)],[f12,f9]) ).
fof(f82,plain,
! [X0,X1,X2] : less_equal(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1)),
inference(paramodulation,[status(thm)],[f17,f12]) ).
fof(f88,plain,
! [X0,X1] : less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(paramodulation,[status(thm)],[f17,f12]) ).
fof(f150,plain,
! [X0,X1] : zero = divide(divide(X0,X0),divide(X1,X0)),
inference(resolution,[status(thm)],[f88,f50]) ).
fof(f170,plain,
! [X0,X1] : less_equal(divide(X0,X0),divide(X1,X0)),
inference(resolution,[status(thm)],[f150,f10]) ).
fof(f201,plain,
! [X0] : divide(divide(X0,X0),X0) = divide(X0,X0),
inference(resolution,[status(thm)],[f170,f49]) ).
fof(f202,plain,
! [X0] : zero = divide(X0,X0),
inference(forward_demodulation,[status(thm)],[f17,f201]) ).
fof(f268,plain,
! [X0,X1] :
( ~ less_equal(zero,divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))))
| divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))) = divide(divide(X0,X1),divide(X0,X1)) ),
inference(paramodulation,[status(thm)],[f202,f68]) ).
fof(f269,plain,
! [X0,X1] :
( ~ less_equal(zero,divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))))
| divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))) = zero ),
inference(forward_demodulation,[status(thm)],[f202,f268]) ).
fof(f270,plain,
! [X0,X1] : divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))) = zero,
inference(forward_subsumption_resolution,[status(thm)],[f269,f13]) ).
fof(f276,plain,
! [X0,X1,X2] :
( ~ less_equal(divide(zero,X0),divide(divide(divide(X1,X2),X0),divide(X1,X0)))
| divide(divide(divide(X1,X2),X0),divide(X1,X0)) = divide(divide(divide(X1,X2),X1),X0) ),
inference(paramodulation,[status(thm)],[f17,f68]) ).
fof(f277,plain,
! [X0,X1,X2] :
( ~ less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))
| divide(divide(divide(X0,X1),X2),divide(X0,X2)) = divide(divide(divide(X0,X1),X0),X2) ),
inference(forward_demodulation,[status(thm)],[f18,f276]) ).
fof(f278,plain,
! [X0,X1,X2] :
( ~ less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))
| divide(divide(divide(X0,X1),X2),divide(X0,X2)) = divide(zero,X2) ),
inference(forward_demodulation,[status(thm)],[f17,f277]) ).
fof(f279,plain,
! [X0,X1,X2] :
( ~ less_equal(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2)))
| divide(divide(divide(X0,X1),X2),divide(X0,X2)) = zero ),
inference(forward_demodulation,[status(thm)],[f18,f278]) ).
fof(f280,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X1),X2),divide(X0,X2)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[f279,f13]) ).
fof(f376,plain,
! [X0,X1,X2] : divide(divide(divide(divide(X0,X1),divide(divide(X0,X2),X1)),divide(divide(X2,X1),divide(divide(X0,X2),X1))),zero) = zero,
inference(paramodulation,[status(thm)],[f69,f69]) ).
fof(f471,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
inference(paramodulation,[status(thm)],[f19,f82]) ).
fof(f501,plain,
! [X0] : less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(paramodulation,[status(thm)],[f202,f471]) ).
fof(f512,plain,
! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
inference(resolution,[status(thm)],[f501,f50]) ).
fof(f527,plain,
! [X0] : less_equal(divide(X0,divide(X0,zero)),zero),
inference(resolution,[status(thm)],[f512,f10]) ).
fof(f593,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[status(thm)],[f527,f50]) ).
fof(f608,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(resolution,[status(thm)],[f593,f10]) ).
fof(f706,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[status(thm)],[f608,f49]) ).
fof(f716,plain,
! [X0,X1,X2] : less_equal(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1)),
inference(backward_demodulation,[status(thm)],[f706,f82]) ).
fof(f793,plain,
! [X0,X1,X2] :
( ~ less_equal(divide(divide(X0,divide(X1,X2)),X1),divide(X0,X1))
| divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X1) ),
inference(resolution,[status(thm)],[f716,f14]) ).
fof(f1194,plain,
! [X0,X1,X2] : less_equal(divide(divide(X0,X1),X2),divide(X0,X2)),
inference(resolution,[status(thm)],[f280,f10]) ).
fof(f1222,plain,
! [X0,X1,X2,X3] : divide(divide(divide(divide(divide(X0,X1),divide(X2,X1)),X3),divide(divide(X0,X2),X1)),zero) = zero,
inference(paramodulation,[status(thm)],[f69,f280]) ).
fof(f1223,plain,
! [X0,X1,X2,X3] : divide(divide(divide(divide(X0,X1),divide(X2,X1)),X3),divide(divide(X0,X2),X1)) = zero,
inference(forward_demodulation,[status(thm)],[f706,f1222]) ).
fof(f1251,plain,
! [X0,X1,X2] : divide(divide(divide(divide(X0,X1),divide(X0,X2)),divide(X2,divide(X0,X2))),zero) = zero,
inference(paramodulation,[status(thm)],[f280,f69]) ).
fof(f1252,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X1),divide(X0,X2)),divide(X2,divide(X0,X2))) = zero,
inference(forward_demodulation,[status(thm)],[f706,f1251]) ).
fof(f1324,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X1),
inference(backward_subsumption_resolution,[status(thm)],[f793,f1194]) ).
fof(f1388,plain,
! [X0,X1,X2,X3] : divide(divide(X0,divide(divide(X1,X2),X3)),X1) = divide(divide(X0,divide(X1,X2)),X1),
inference(paramodulation,[status(thm)],[f1324,f1324]) ).
fof(f1389,plain,
! [X0,X1,X2,X3] : divide(divide(X0,divide(divide(X1,X2),X3)),X1) = divide(X0,X1),
inference(forward_demodulation,[status(thm)],[f1324,f1388]) ).
fof(f1456,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(X0,divide(X1,X2))) = zero,
inference(paramodulation,[status(thm)],[f1324,f17]) ).
fof(f1457,plain,
! [X0,X1,X2] : less_equal(divide(X0,X1),divide(X0,divide(X1,X2))),
inference(paramodulation,[status(thm)],[f1324,f11]) ).
fof(f2598,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1)) = zero,
inference(paramodulation,[status(thm)],[f1324,f1223]) ).
fof(f6277,plain,
! [X0,X1,X2] : divide(divide(divide(divide(X0,X1),divide(X0,X2)),X2),zero) = zero,
inference(paramodulation,[status(thm)],[f1252,f1456]) ).
fof(f6278,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X1),divide(X0,X2)),X2) = zero,
inference(forward_demodulation,[status(thm)],[f706,f6277]) ).
fof(f6941,plain,
! [X0,X1] : divide(divide(X0,divide(X0,X1)),X1) = zero,
inference(paramodulation,[status(thm)],[f1389,f6278]) ).
fof(f7434,plain,
! [X0,X1,X2] : divide(divide(divide(X0,divide(X0,divide(X1,X2))),X1),zero) = zero,
inference(paramodulation,[status(thm)],[f6941,f1456]) ).
fof(f7435,plain,
! [X0,X1,X2] : divide(divide(X0,divide(X0,divide(X1,X2))),X1) = zero,
inference(forward_demodulation,[status(thm)],[f706,f7434]) ).
fof(f7586,plain,
! [X0,X1,X2] :
( ~ less_equal(divide(divide(X0,divide(X1,divide(X1,X2))),X2),divide(divide(X0,X2),zero))
| divide(divide(X0,X2),divide(divide(X1,divide(X1,X2)),X2)) = divide(divide(X0,divide(X1,divide(X1,X2))),X2) ),
inference(paramodulation,[status(thm)],[f6941,f68]) ).
fof(f7587,plain,
! [X0,X1,X2] :
( ~ less_equal(divide(divide(X0,divide(X1,divide(X1,X2))),X2),divide(X0,X2))
| divide(divide(X0,X2),divide(divide(X1,divide(X1,X2)),X2)) = divide(divide(X0,divide(X1,divide(X1,X2))),X2) ),
inference(forward_demodulation,[status(thm)],[f706,f7586]) ).
fof(f7588,plain,
! [X0,X1,X2] :
( ~ less_equal(divide(divide(X0,divide(X1,divide(X1,X2))),X2),divide(X0,X2))
| divide(divide(X0,X2),zero) = divide(divide(X0,divide(X1,divide(X1,X2))),X2) ),
inference(forward_demodulation,[status(thm)],[f6941,f7587]) ).
fof(f7589,plain,
! [X0,X1,X2] :
( ~ less_equal(divide(divide(X0,divide(X1,divide(X1,X2))),X2),divide(X0,X2))
| divide(X0,X2) = divide(divide(X0,divide(X1,divide(X1,X2))),X2) ),
inference(forward_demodulation,[status(thm)],[f706,f7588]) ).
fof(f7590,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(divide(X0,divide(X2,divide(X2,X1))),X1),
inference(forward_subsumption_resolution,[status(thm)],[f7589,f1194]) ).
fof(f7886,plain,
! [X0,X1,X2] : less_equal(divide(X0,divide(X0,divide(X1,X2))),X1),
inference(resolution,[status(thm)],[f7435,f10]) ).
fof(f8311,plain,
! [X0,X1,X2,X3] : less_equal(divide(divide(X0,divide(X0,divide(divide(X1,X2),X3))),zero),X1),
inference(paramodulation,[status(thm)],[f7435,f7886]) ).
fof(f8312,plain,
! [X0,X1,X2,X3] : less_equal(divide(X0,divide(X0,divide(divide(X1,X2),X3))),X1),
inference(forward_demodulation,[status(thm)],[f706,f8311]) ).
fof(f8405,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X1),divide(divide(X0,X2),X1)),divide(divide(X2,X1),divide(divide(X0,X2),X1))) = zero,
inference(forward_demodulation,[status(thm)],[f706,f376]) ).
fof(f12980,plain,
! [X0,X1,X2] : less_equal(divide(divide(divide(X0,X1),divide(divide(X0,X2),X1)),zero),X2),
inference(paramodulation,[status(thm)],[f8405,f8312]) ).
fof(f12981,plain,
! [X0,X1,X2] : less_equal(divide(divide(X0,X1),divide(divide(X0,X2),X1)),X2),
inference(forward_demodulation,[status(thm)],[f706,f12980]) ).
fof(f28241,plain,
! [X0,X1] : less_equal(divide(divide(X0,divide(X1,divide(X0,X1))),zero),divide(X0,X1)),
inference(paramodulation,[status(thm)],[f270,f12981]) ).
fof(f28242,plain,
! [X0,X1] : less_equal(divide(X0,divide(X1,divide(X0,X1))),divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f706,f28241]) ).
fof(f28726,plain,
! [X0,X1] :
( ~ less_equal(divide(X0,X1),divide(X0,divide(X1,divide(X0,X1))))
| divide(X0,divide(X1,divide(X0,X1))) = divide(X0,X1) ),
inference(resolution,[status(thm)],[f28242,f14]) ).
fof(f28727,plain,
! [X0,X1] : divide(X0,divide(X1,divide(X0,X1))) = divide(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f28726,f1457]) ).
fof(f29516,plain,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,divide(X1,divide(X0,X1))) ),
inference(paramodulation,[status(thm)],[f28727,f10]) ).
fof(f29867,plain,
! [X0,X1,X2] : less_equal(divide(divide(X0,X1),X2),divide(divide(divide(X0,X2),X1),divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1)))),
inference(resolution,[status(thm)],[f2598,f29516]) ).
fof(f29868,plain,
! [X0,X1,X2] : less_equal(divide(divide(X0,X1),X2),divide(divide(divide(X0,X2),X1),zero)),
inference(forward_demodulation,[status(thm)],[f2598,f29867]) ).
fof(f29869,plain,
! [X0,X1,X2] : less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1)),
inference(forward_demodulation,[status(thm)],[f706,f29868]) ).
fof(f30732,plain,
! [X0,X1,X2] :
( ~ less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),X1))
| divide(divide(X0,X2),X1) = divide(divide(X0,X1),X2) ),
inference(resolution,[status(thm)],[f29869,f14]) ).
fof(f30733,plain,
! [X0,X1,X2] : divide(divide(X0,X1),X2) = divide(divide(X0,X2),X1),
inference(forward_subsumption_resolution,[status(thm)],[f30732,f29869]) ).
fof(f31105,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(divide(X0,X1),divide(X2,divide(X2,X1))),
inference(paramodulation,[status(thm)],[f7590,f30733]) ).
fof(f32553,plain,
divide(identity,a) != divide(identity,a),
inference(backward_demodulation,[status(thm)],[f31105,f16]) ).
fof(f32554,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f32553]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : HEN010-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n018.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Apr 29 20:21:42 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.06/0.27 % Drodi V3.6.0
% 6.36/1.14 % Refutation found
% 6.36/1.14 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.36/1.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.13/1.21 % Elapsed time: 0.927438 seconds
% 7.13/1.21 % CPU time: 7.185003 seconds
% 7.13/1.21 % Total memory used: 236.585 MB
% 7.13/1.21 % Net memory used: 226.426 MB
%------------------------------------------------------------------------------