TSTP Solution File: HEN007-5 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : HEN007-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:21:46 EDT 2024
% Result : Unsatisfiable 2.53s 0.71s
% Output : CNFRefutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 23 unt; 0 def)
% Number of atoms : 61 ( 60 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 23 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : divide(divide(X,Y),X) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Z,Y] : divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : divide(zero,X) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( divide(X,Y) != zero
| divide(Y,X) != zero
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
divide(a,b) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
divide(divide(c,b),divide(c,a)) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
! [X0] : divide(zero,X0) = zero,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
! [X0,X1] :
( divide(X0,X1) != zero
| divide(X1,X0) != zero
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f16,plain,
divide(a,b) = zero,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f17,plain,
divide(divide(c,b),divide(c,a)) != zero,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f21,plain,
! [X0,X1] :
( divide(X0,divide(X0,X1)) != zero
| divide(X0,X1) = X0 ),
inference(resolution,[status(thm)],[f12,f9]) ).
fof(f30,plain,
! [X0] :
( divide(X0,zero) != zero
| zero = X0 ),
inference(resolution,[status(thm)],[f12,f11]) ).
fof(f48,plain,
! [X0,X1,X2] :
( divide(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2))) != zero
| divide(divide(X0,X2),divide(X1,X2)) = divide(divide(X0,X1),X2) ),
inference(resolution,[status(thm)],[f10,f12]) ).
fof(f63,plain,
! [X0,X1] : divide(divide(divide(X0,X0),divide(X1,X0)),zero) = zero,
inference(paramodulation,[status(thm)],[f9,f10]) ).
fof(f105,plain,
! [X0,X1] : zero = divide(divide(X0,X0),divide(X1,X0)),
inference(resolution,[status(thm)],[f63,f30]) ).
fof(f141,plain,
! [X0] : divide(divide(X0,X0),X0) = divide(X0,X0),
inference(resolution,[status(thm)],[f105,f21]) ).
fof(f142,plain,
! [X0] : zero = divide(X0,X0),
inference(forward_demodulation,[status(thm)],[f9,f141]) ).
fof(f227,plain,
! [X0,X1] :
( divide(zero,divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1)))) != zero
| divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))) = divide(divide(X0,X1),divide(X0,X1)) ),
inference(paramodulation,[status(thm)],[f142,f48]) ).
fof(f228,plain,
! [X0,X1] :
( zero != zero
| divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))) = divide(divide(X0,X1),divide(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f11,f227]) ).
fof(f229,plain,
! [X0,X1] :
( zero != zero
| divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))) = zero ),
inference(forward_demodulation,[status(thm)],[f142,f228]) ).
fof(f230,plain,
! [X0,X1] : divide(divide(X0,divide(X0,X1)),divide(X1,divide(X0,X1))) = zero,
inference(trivial_equality_resolution,[status(esa)],[f229]) ).
fof(f237,plain,
! [X0,X1,X2] :
( divide(divide(zero,X0),divide(divide(divide(X1,X2),X0),divide(X1,X0))) != zero
| divide(divide(divide(X1,X2),X0),divide(X1,X0)) = divide(divide(divide(X1,X2),X1),X0) ),
inference(paramodulation,[status(thm)],[f9,f48]) ).
fof(f238,plain,
! [X0,X1,X2] :
( divide(zero,divide(divide(divide(X0,X1),X2),divide(X0,X2))) != zero
| divide(divide(divide(X0,X1),X2),divide(X0,X2)) = divide(divide(divide(X0,X1),X0),X2) ),
inference(forward_demodulation,[status(thm)],[f11,f237]) ).
fof(f239,plain,
! [X0,X1,X2] :
( zero != zero
| divide(divide(divide(X0,X1),X2),divide(X0,X2)) = divide(divide(divide(X0,X1),X0),X2) ),
inference(forward_demodulation,[status(thm)],[f11,f238]) ).
fof(f240,plain,
! [X0,X1,X2] :
( zero != zero
| divide(divide(divide(X0,X1),X2),divide(X0,X2)) = divide(zero,X2) ),
inference(forward_demodulation,[status(thm)],[f9,f239]) ).
fof(f241,plain,
! [X0,X1,X2] :
( zero != zero
| divide(divide(divide(X0,X1),X2),divide(X0,X2)) = zero ),
inference(forward_demodulation,[status(thm)],[f11,f240]) ).
fof(f242,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X1),X2),divide(X0,X2)) = zero,
inference(trivial_equality_resolution,[status(esa)],[f241]) ).
fof(f3122,plain,
! [X0] : divide(divide(X0,divide(X0,zero)),zero) = zero,
inference(paramodulation,[status(thm)],[f11,f230]) ).
fof(f3294,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[status(thm)],[f3122,f30]) ).
fof(f3454,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[status(thm)],[f3294,f21]) ).
fof(f4141,plain,
! [X0] :
( divide(divide(divide(X0,a),b),divide(divide(X0,b),zero)) != zero
| divide(divide(X0,b),divide(a,b)) = divide(divide(X0,a),b) ),
inference(paramodulation,[status(thm)],[f16,f48]) ).
fof(f4142,plain,
! [X0] :
( divide(divide(divide(X0,a),b),divide(X0,b)) != zero
| divide(divide(X0,b),divide(a,b)) = divide(divide(X0,a),b) ),
inference(forward_demodulation,[status(thm)],[f3454,f4141]) ).
fof(f4143,plain,
! [X0] :
( zero != zero
| divide(divide(X0,b),divide(a,b)) = divide(divide(X0,a),b) ),
inference(forward_demodulation,[status(thm)],[f242,f4142]) ).
fof(f4144,plain,
! [X0] :
( zero != zero
| divide(divide(X0,b),zero) = divide(divide(X0,a),b) ),
inference(forward_demodulation,[status(thm)],[f16,f4143]) ).
fof(f4145,plain,
! [X0] :
( zero != zero
| divide(X0,b) = divide(divide(X0,a),b) ),
inference(forward_demodulation,[status(thm)],[f3454,f4144]) ).
fof(f4146,plain,
! [X0] : divide(X0,b) = divide(divide(X0,a),b),
inference(trivial_equality_resolution,[status(esa)],[f4145]) ).
fof(f6447,plain,
! [X0] : divide(divide(X0,b),divide(X0,a)) = zero,
inference(paramodulation,[status(thm)],[f4146,f9]) ).
fof(f6948,plain,
zero != zero,
inference(backward_demodulation,[status(thm)],[f6447,f17]) ).
fof(f6949,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f6948]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : HEN007-5 : 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 : n017.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 : Mon Apr 29 19:40:33 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 2.53/0.71 % Refutation found
% 2.53/0.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.53/0.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.53/0.74 % Elapsed time: 0.384938 seconds
% 2.53/0.74 % CPU time: 2.908231 seconds
% 2.53/0.74 % Total memory used: 90.795 MB
% 2.53/0.74 % Net memory used: 88.021 MB
%------------------------------------------------------------------------------