%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE051+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:58:15 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE051+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.35 % Computer : n009.cluster.edu
% 0.06/0.35 % Model : x86_64 x86_64
% 0.06/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.35 % Memory : 8046.5625MB
% 0.06/0.35 % OS : Linux 6.8.0-71-generic
% 0.06/0.35 % CPULimit : 300
% 0.06/0.35 % WCLimit : 300
% 0.06/0.35 % DateTime : Sun Sep 20 22:40:57 UTC 2026
% 0.06/0.35 % CPUTime :
% 0.06/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f4,axiom,(
% 0.13/0.40 (! [A] : addition(A,A) = A )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f18,conjecture,(
% 0.13/0.40 (! [X0] : addition(X0,X0) = X0 )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f19,negated_conjecture,(
% 0.13/0.40 ~((! [X0] : addition(X0,X0) = X0 ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f18])).
% 0.13/0.40 fof(f23,plain,(
% 0.13/0.40 ![X0]: (addition(X0,X0)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 (?[X0]: ~addition(X0,X0)=X0)),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.13/0.40 fof(f41,plain,(
% 0.13/0.40 ~addition(sK0_skl,sK0_skl)=sK0_skl),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f40])).
% 0.13/0.40 fof(f42,plain,(
% 0.13/0.40 ~addition(sK0_skl,sK0_skl)=sK0_skl),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 ~sK0_skl=sK0_skl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f23,f42])).
% 0.13/0.40 fof(f44,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f43])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.068422 seconds
% 0.13/0.43 % CPU time: 0.186622 seconds
% 0.13/0.43 % Total memory used: 64.477 MB
% 0.13/0.43 % Net memory used: 64.089 MB
%------------------------------------------------------------------------------