%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HEN011-5 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 12:45:24 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.58s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 22 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 17 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 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 : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : divide(divide(X,Y),X) = zero,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : divide(zero,X) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( X = Y
| divide(Y,X) != zero
| divide(X,Y) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : divide(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] :
( divide(divide(X,Z),Y) = zero
| divide(divide(X,Y),Z) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : divide(identity,divide(identity,divide(identity,X))) = divide(identity,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
! [X0] : divide(zero,X0) = zero,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1] :
( X0 = X1
| divide(X1,X0) != zero
| divide(X0,X1) != zero ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f21,plain,
! [X0] : divide(X0,zero) = X0,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f24,plain,
! [X0,X1,X2] :
( divide(divide(X0,X2),X1) = zero
| divide(divide(X0,X1),X2) != zero ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f29,plain,
! [X0] : divide(identity,divide(identity,divide(identity,X0))) = divide(identity,X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f31,plain,
divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f102,plain,
! [X0,X1] : divide(divide(divide(identity,X0),divide(X1,divide(identity,divide(identity,X0)))),divide(divide(identity,X1),divide(identity,divide(identity,X0)))) = zero,
inference(paramodulation,[status(thm)],[f29,f16]) ).
fof(f110,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1)) = zero,
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f142,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1)) = zero,
inference(forward_demodulation,[status(thm)],[f21,f110]) ).
fof(f1201,plain,
! [X0,X1] : divide(divide(divide(divide(identity,X0),divide(X1,divide(identity,divide(identity,X0)))),divide(identity,X1)),divide(zero,divide(identity,X1))) = zero,
inference(paramodulation,[status(thm)],[f102,f142]) ).
fof(f1275,plain,
! [X0,X1] : divide(divide(divide(divide(identity,X0),divide(X1,divide(identity,divide(identity,X0)))),divide(identity,X1)),zero) = zero,
inference(forward_demodulation,[status(thm)],[f17,f1201]) ).
fof(f1276,plain,
! [X0,X1] : divide(divide(divide(identity,X0),divide(X1,divide(identity,divide(identity,X0)))),divide(identity,X1)) = zero,
inference(forward_demodulation,[status(thm)],[f21,f1275]) ).
fof(f2084,plain,
( divide(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b)))) != zero
| divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))) != zero ),
inference(resolution,[status(thm)],[f18,f31]) ).
fof(f2188,plain,
( divide(divide(divide(identity,a),divide(divide(identity,b),divide(identity,divide(identity,a)))),divide(identity,divide(identity,b))) != zero
| divide(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b)))) != zero ),
inference(resolution,[status(thm)],[f2084,f24]) ).
fof(f2192,plain,
( zero != zero
| divide(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b)))) != zero ),
inference(forward_demodulation,[status(thm)],[f1276,f2188]) ).
fof(f2193,plain,
divide(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b)))) != zero,
inference(trivial_equality_resolution,[status(thm)],[f2192]) ).
fof(f2200,plain,
divide(divide(divide(identity,b),divide(divide(identity,a),divide(identity,divide(identity,b)))),divide(identity,divide(identity,a))) != zero,
inference(resolution,[status(thm)],[f2193,f24]) ).
fof(f2204,plain,
zero != zero,
inference(forward_demodulation,[status(thm)],[f1276,f2200]) ).
fof(f2205,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f2204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN011-5 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n026.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:49:22 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.58 % Refutation found
% 0.14/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.58 % Elapsed time: 0.214260 seconds
% 0.14/0.58 % CPU time: 1.352266 seconds
% 0.14/0.58 % Total memory used: 97.166 MB
% 0.14/0.58 % Net memory used: 95.112 MB
%------------------------------------------------------------------------------