%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP458-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 12:34:15 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,divide(identity,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = divide(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0] : identity = divide(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
multiply(identity,a2) != a2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f24,plain,
! [X0,X1,X2] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f9,f6]) ).
fof(f26,plain,
! [X0,X1] : divide(multiply(identity,divide(X0,divide(divide(identity,identity),X1))),X1) = X0,
inference(paramodulation,[status(thm)],[f7,f24]) ).
fof(f32,plain,
! [X0,X1] : divide(divide(identity,divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
inference(paramodulation,[status(thm)],[f9,f24]) ).
fof(f37,plain,
! [X0,X1] : divide(multiply(identity,divide(X0,divide(identity,X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f9,f26]) ).
fof(f38,plain,
! [X0,X1] : divide(multiply(identity,multiply(X0,X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f7,f37]) ).
fof(f40,plain,
! [X0,X1] : multiply(divide(identity,divide(X0,divide(X1,identity))),X0) = X1,
inference(forward_demodulation,[status(thm)],[f7,f32]) ).
fof(f133,plain,
! [X0] : multiply(divide(identity,identity),divide(X0,identity)) = X0,
inference(paramodulation,[status(thm)],[f9,f40]) ).
fof(f145,plain,
! [X0] : multiply(identity,divide(X0,identity)) = X0,
inference(forward_demodulation,[status(thm)],[f9,f133]) ).
fof(f150,plain,
! [X0] : multiply(identity,X0) = multiply(identity,multiply(X0,identity)),
inference(paramodulation,[status(thm)],[f38,f145]) ).
fof(f159,plain,
! [X0] : multiply(identity,X0) = multiply(identity,divide(X0,identity)),
inference(forward_demodulation,[status(thm)],[f15,f150]) ).
fof(f160,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f145,f159]) ).
fof(f168,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f160,f10]) ).
fof(f173,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP458-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.39 % Computer : n004.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 20 20:13:52 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.40 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.43 % Elapsed time: 0.024466 seconds
% 0.09/0.43 % CPU time: 0.046411 seconds
% 0.09/0.43 % Total memory used: 1.924 MB
% 0.09/0.43 % Net memory used: 1.869 MB
%------------------------------------------------------------------------------