%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KLE051+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 12:57:52 PM UTC 2026
% Result : Theorem 0.18s 0.65s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 5 ( 4 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A] : addition(A,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ! [X0] : addition(X0,X0) = X0,
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f23,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f40,plain,
? [X0] : addition(X0,X0) != X0,
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f41,plain,
addition(sK0_skl,sK0_skl) != sK0_skl,
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f40]) ).
fof(f42,plain,
addition(sK0_skl,sK0_skl) != sK0_skl,
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
sK0_skl != sK0_skl,
inference(forward_demodulation,[status(thm)],[f23,f42]) ).
fof(f44,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE051+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.62 % Computer : n019.cluster.edu
% 0.18/0.62 % Model : x86_64 x86_64
% 0.18/0.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.62 % Memory : 8046.5625MB
% 0.18/0.62 % OS : Linux 6.8.0-71-generic
% 0.18/0.62 % CPULimit : 300
% 0.18/0.62 % WCLimit : 300
% 0.18/0.62 % DateTime : Sun Sep 20 22:41:05 UTC 2026
% 0.18/0.62 % CPUTime :
% 0.18/0.63 % Drodi V4.1.1
% 0.18/0.65 % Refutation found
% 0.18/0.65 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.68 % Elapsed time: 0.050898 seconds
% 0.23/0.68 % CPU time: 0.129991 seconds
% 0.23/0.68 % Total memory used: 27.051 MB
% 0.23/0.68 % Net memory used: 26.923 MB
%------------------------------------------------------------------------------