%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HEN007-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 12:45:20 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.57s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 21 unt; 0 def)
% Number of atoms : 50 ( 49 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 32 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 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 : 33 ( 33 !; 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(f6,axiom,
! [X,Y,Z] :
( divide(X,Z) = zero
| divide(Y,Z) != zero
| divide(X,Y) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
divide(a,b) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
divide(divide(c,b),divide(c,a)) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
inference(cnf_transformation,[status(thm)],[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(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,
! [X,Z] :
( divide(X,Z) = zero
| ! [Y] :
( divide(Y,Z) != zero
| divide(X,Y) != zero ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f15,plain,
! [X0,X1,X2] :
( divide(X0,X2) = zero
| divide(X1,X2) != zero
| divide(X0,X1) != zero ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
divide(a,b) = zero,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
divide(divide(c,b),divide(c,a)) != zero,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f27,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1)) = zero,
inference(paramodulation,[status(thm)],[f9,f10]) ).
fof(f28,plain,
! [X0] : divide(divide(divide(X0,b),zero),divide(divide(X0,a),b)) = zero,
inference(paramodulation,[status(thm)],[f16,f10]) ).
fof(f44,plain,
( divide(zero,divide(divide(c,b),divide(c,a))) != zero
| divide(divide(divide(c,b),divide(c,a)),zero) != zero ),
inference(resolution,[status(thm)],[f12,f17]) ).
fof(f46,plain,
( zero != zero
| divide(divide(divide(c,b),divide(c,a)),zero) != zero ),
inference(forward_demodulation,[status(thm)],[f11,f44]) ).
fof(f47,plain,
divide(divide(divide(c,b),divide(c,a)),zero) != zero,
inference(trivial_equality_resolution,[status(thm)],[f46]) ).
fof(f50,plain,
( divide(zero,divide(divide(divide(c,b),divide(c,a)),zero)) != zero
| divide(divide(divide(divide(c,b),divide(c,a)),zero),zero) != zero ),
inference(resolution,[status(thm)],[f47,f12]) ).
fof(f52,plain,
( zero != zero
| divide(divide(divide(divide(c,b),divide(c,a)),zero),zero) != zero ),
inference(forward_demodulation,[status(thm)],[f11,f50]) ).
fof(f53,plain,
divide(divide(divide(divide(c,b),divide(c,a)),zero),zero) != zero,
inference(trivial_equality_resolution,[status(thm)],[f52]) ).
fof(f120,plain,
! [X0] :
( divide(X0,zero) != zero
| divide(divide(divide(divide(c,b),divide(c,a)),zero),X0) != zero ),
inference(resolution,[status(thm)],[f15,f53]) ).
fof(f482,plain,
! [X0] : divide(divide(divide(divide(c,b),divide(divide(c,a),X0)),divide(c,a)),zero) != zero,
inference(resolution,[status(thm)],[f120,f27]) ).
fof(f514,plain,
divide(divide(divide(divide(c,b),zero),divide(c,a)),zero) != zero,
inference(paramodulation,[status(thm)],[f9,f482]) ).
fof(f521,plain,
( divide(zero,divide(divide(divide(divide(c,b),zero),divide(c,a)),zero)) != zero
| divide(divide(divide(divide(divide(c,b),zero),divide(c,a)),zero),zero) != zero ),
inference(resolution,[status(thm)],[f514,f12]) ).
fof(f523,plain,
( zero != zero
| divide(divide(divide(divide(divide(c,b),zero),divide(c,a)),zero),zero) != zero ),
inference(forward_demodulation,[status(thm)],[f11,f521]) ).
fof(f524,plain,
divide(divide(divide(divide(divide(c,b),zero),divide(c,a)),zero),zero) != zero,
inference(trivial_equality_resolution,[status(thm)],[f523]) ).
fof(f538,plain,
! [X0] : divide(divide(divide(divide(divide(X0,b),zero),divide(X0,a)),zero),divide(zero,divide(X0,a))) = zero,
inference(paramodulation,[status(thm)],[f28,f27]) ).
fof(f561,plain,
zero != zero,
inference(backward_demodulation,[status(thm)],[f562,f524]) ).
fof(f562,plain,
! [X0] : divide(divide(divide(divide(divide(X0,b),zero),divide(X0,a)),zero),zero) = zero,
inference(forward_demodulation,[status(thm)],[f11,f538]) ).
fof(f573,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f561]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN007-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 20:44:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.14/0.57 % Refutation found
% 0.14/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.91/0.59 % Elapsed time: 0.210146 seconds
% 0.91/0.59 % CPU time: 1.457617 seconds
% 0.91/0.59 % Total memory used: 107.096 MB
% 0.91/0.59 % Net memory used: 105.741 MB
%------------------------------------------------------------------------------