%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HEN005-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 12:45:19 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.40s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 16 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 16 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 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 : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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] :
( X = Y
| divide(Y,X) != zero
| divide(X,Y) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
divide(a,b) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
divide(b,c) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
divide(a,c) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,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(f11,plain,
! [X0] : divide(zero,X0) = zero,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1] :
( X0 = X1
| divide(X1,X0) != zero
| divide(X0,X1) != zero ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
divide(a,b) = zero,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
divide(b,c) = zero,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f16,plain,
divide(a,c) != zero,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
( divide(zero,divide(a,c)) != zero
| divide(divide(a,c),zero) != zero ),
inference(resolution,[status(thm)],[f12,f16]) ).
fof(f23,plain,
( zero != zero
| divide(divide(a,c),zero) != zero ),
inference(forward_demodulation,[status(thm)],[f11,f21]) ).
fof(f24,plain,
divide(divide(a,c),zero) != zero,
inference(trivial_equality_resolution,[status(thm)],[f23]) ).
fof(f27,plain,
( divide(zero,divide(divide(a,c),zero)) != zero
| divide(divide(divide(a,c),zero),zero) != zero ),
inference(resolution,[status(thm)],[f24,f12]) ).
fof(f29,plain,
( zero != zero
| divide(divide(divide(a,c),zero),zero) != zero ),
inference(forward_demodulation,[status(thm)],[f11,f27]) ).
fof(f30,plain,
divide(divide(divide(a,c),zero),zero) != zero,
inference(trivial_equality_resolution,[status(thm)],[f29]) ).
fof(f61,plain,
! [X0] : divide(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)) = zero,
inference(paramodulation,[status(thm)],[f14,f10]) ).
fof(f72,plain,
! [X0] : divide(divide(divide(a,X0),divide(b,X0)),zero) = zero,
inference(forward_demodulation,[status(thm)],[f11,f61]) ).
fof(f118,plain,
divide(divide(divide(a,c),zero),zero) = zero,
inference(paramodulation,[status(thm)],[f15,f72]) ).
fof(f126,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f118,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN005-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n020.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 20 20:46:32 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.42 % Elapsed time: 0.048211 seconds
% 0.08/0.42 % CPU time: 0.147283 seconds
% 0.08/0.42 % Total memory used: 56.675 MB
% 0.08/0.42 % Net memory used: 56.296 MB
%------------------------------------------------------------------------------