%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP562-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 12:34:40 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.55s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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; 2 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(divide(A,inverse(B)),C),divide(A,C)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1,X2] : divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : X0 = divide(divide(multiply(divide(multiply(X1,X2),X3),X0),divide(X1,X3)),X2),
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : X0 = multiply(divide(multiply(divide(multiply(X1,inverse(X2)),X3),X0),divide(X1,X3)),X2),
inference(paramodulation,[status(thm)],[f5,f13]) ).
fof(f60,plain,
! [X0,X1,X2,X3] : X0 = divide(divide(X1,divide(divide(multiply(X2,inverse(X0)),X3),divide(X2,X3))),X1),
inference(paramodulation,[status(thm)],[f17,f13]) ).
fof(f79,plain,
! [X0,X1] : X0 = divide(divide(X1,inverse(X0)),X1),
inference(forward_demodulation,[status(thm)],[f11,f60]) ).
fof(f80,plain,
! [X0,X1] : X0 = divide(multiply(X1,X0),X1),
inference(forward_demodulation,[status(thm)],[f5,f79]) ).
fof(f116,plain,
! [X0,X1] : X0 = divide(X0,divide(X1,X1)),
inference(paramodulation,[status(thm)],[f80,f11]) ).
fof(f122,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(paramodulation,[status(thm)],[f80,f116]) ).
fof(f206,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f5,f122]) ).
fof(f229,plain,
$false,
inference(resolution,[status(thm)],[f206,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP562-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.53 % Computer : n015.cluster.edu
% 0.10/0.53 % Model : x86_64 x86_64
% 0.10/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.53 % Memory : 8046.5625MB
% 0.10/0.53 % OS : Linux 6.8.0-71-generic
% 0.10/0.53 % CPULimit : 300
% 0.10/0.53 % WCLimit : 300
% 0.10/0.53 % DateTime : Sun Sep 20 20:19:50 UTC 2026
% 0.10/0.53 % CPUTime :
% 0.10/0.54 % Drodi V4.1.1
% 0.10/0.55 % Refutation found
% 0.10/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.57 % Elapsed time: 0.025880 seconds
% 0.15/0.57 % CPU time: 0.055268 seconds
% 0.15/0.57 % Total memory used: 2.568 MB
% 0.15/0.57 % Net memory used: 2.552 MB
%------------------------------------------------------------------------------