%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HEN008-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 12:45:21 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 15 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 18 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 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/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(f6,hypothesis,
divide(a,b) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
divide(divide(a,c),divide(b,c)) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,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(f10,plain,
! [X0] : divide(zero,X0) = zero,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( X0 = X1
| divide(X1,X0) != zero
| divide(X0,X1) != zero ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
divide(a,b) = zero,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
divide(divide(a,c),divide(b,c)) != zero,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
( divide(zero,divide(divide(a,c),divide(b,c))) != zero
| divide(divide(divide(a,c),divide(b,c)),zero) != zero ),
inference(resolution,[status(thm)],[f11,f14]) ).
fof(f20,plain,
( zero != zero
| divide(divide(divide(a,c),divide(b,c)),zero) != zero ),
inference(forward_demodulation,[status(thm)],[f10,f18]) ).
fof(f21,plain,
divide(divide(divide(a,c),divide(b,c)),zero) != zero,
inference(trivial_equality_resolution,[status(thm)],[f20]) ).
fof(f24,plain,
( divide(zero,divide(divide(divide(a,c),divide(b,c)),zero)) != zero
| divide(divide(divide(divide(a,c),divide(b,c)),zero),zero) != zero ),
inference(resolution,[status(thm)],[f21,f11]) ).
fof(f26,plain,
( zero != zero
| divide(divide(divide(divide(a,c),divide(b,c)),zero),zero) != zero ),
inference(forward_demodulation,[status(thm)],[f10,f24]) ).
fof(f27,plain,
divide(divide(divide(divide(a,c),divide(b,c)),zero),zero) != zero,
inference(trivial_equality_resolution,[status(thm)],[f26]) ).
fof(f49,plain,
! [X0] : divide(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)) = zero,
inference(paramodulation,[status(thm)],[f13,f9]) ).
fof(f58,plain,
divide(zero,zero) != zero,
inference(backward_demodulation,[status(thm)],[f61,f27]) ).
fof(f61,plain,
! [X0] : divide(divide(divide(a,X0),divide(b,X0)),zero) = zero,
inference(forward_demodulation,[status(thm)],[f10,f49]) ).
fof(f62,plain,
zero != zero,
inference(forward_demodulation,[status(thm)],[f10,f58]) ).
fof(f63,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN008-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:45:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.48 % Elapsed time: 0.101130 seconds
% 0.14/0.48 % CPU time: 0.129019 seconds
% 0.14/0.48 % Total memory used: 10.929 MB
% 0.14/0.48 % Net memory used: 10.878 MB
%------------------------------------------------------------------------------