TSTP Solution File: HEN012-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : HEN012-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 0.19s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 15 unt; 0 def)
% Number of atoms : 37 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 42 (; 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| divide(X,Y) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( divide(X,Y) != zero
| less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : less_equal(divide(X,Y),X),
file('/export/starexec/sandbox/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/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(f8,negated_conjecture,
~ less_equal(a,a),
file('/export/starexec/sandbox/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(f16,plain,
~ less_equal(a,a),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f20,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[status(thm)],[f11,f14]) ).
fof(f33,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
inference(resolution,[status(thm)],[f9,f11]) ).
fof(f69,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(f143,plain,
! [X0,X1] :
( ~ less_equal(zero,divide(divide(X0,X0),divide(X1,X0)))
| divide(divide(X0,X0),divide(X1,X0)) = divide(divide(X0,X1),X0) ),
inference(paramodulation,[status(thm)],[f33,f69]) ).
fof(f144,plain,
! [X0,X1] :
( ~ less_equal(zero,divide(divide(X0,X0),divide(X1,X0)))
| divide(divide(X0,X0),divide(X1,X0)) = zero ),
inference(forward_demodulation,[status(thm)],[f33,f143]) ).
fof(f145,plain,
! [X0,X1] : divide(divide(X0,X0),divide(X1,X0)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[f144,f13]) ).
fof(f256,plain,
! [X0,X1] : less_equal(divide(X0,X0),divide(X1,X0)),
inference(resolution,[status(thm)],[f145,f10]) ).
fof(f311,plain,
! [X0] : divide(divide(X0,X0),X0) = divide(X0,X0),
inference(resolution,[status(thm)],[f256,f20]) ).
fof(f312,plain,
! [X0] : zero = divide(X0,X0),
inference(forward_demodulation,[status(thm)],[f33,f311]) ).
fof(f329,plain,
! [X0] : less_equal(X0,X0),
inference(resolution,[status(thm)],[f312,f10]) ).
fof(f384,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f16,f329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN012-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:30:03 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.36 % Refutation found
% 0.19/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.37 % Elapsed time: 0.020560 seconds
% 0.19/0.37 % CPU time: 0.045361 seconds
% 0.19/0.37 % Memory used: 4.252 MB
%------------------------------------------------------------------------------