%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE059+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 12:58:16 PM UTC 2026
% Result : Theorem 0.10s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE059+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.39 % Computer : n014.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 20 22:41:20 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.40 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.42 fof(f17,axiom,(
% 0.10/0.42 (! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) )),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f18,conjecture,(
% 0.10/0.42 (! [X0,X1] :( addition(X0,X1) = X1=> addition(domain(X0),domain(X1)) = domain(X1) ) )),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f19,negated_conjecture,(
% 0.10/0.42 ~((! [X0,X1] :( addition(X0,X1) = X1=> addition(domain(X0),domain(X1)) = domain(X1) ) ))),
% 0.10/0.42 inference(negated_conjecture,[status(cth)],[f18])).
% 0.10/0.42 fof(f39,plain,(
% 0.10/0.42 ![X0,X1]: (domain(addition(X0,X1))=addition(domain(X0),domain(X1)))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.42 fof(f40,plain,(
% 0.10/0.42 (?[X0,X1]: (addition(X0,X1)=X1&~addition(domain(X0),domain(X1))=domain(X1)))),
% 0.10/0.42 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.10/0.42 fof(f41,plain,(
% 0.10/0.42 (addition(sK0_skl,sK1_skl)=sK1_skl&~addition(domain(sK0_skl),domain(sK1_skl))=domain(sK1_skl))),
% 0.10/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl)],[f40])).
% 0.10/0.42 fof(f42,plain,(
% 0.10/0.42 addition(sK0_skl,sK1_skl)=sK1_skl),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f41])).
% 0.10/0.42 fof(f43,plain,(
% 0.10/0.42 ~addition(domain(sK0_skl),domain(sK1_skl))=domain(sK1_skl)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f41])).
% 0.10/0.42 fof(f45,plain,(
% 0.10/0.42 ~domain(addition(sK0_skl,sK1_skl))=domain(sK1_skl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f39,f43])).
% 0.10/0.42 fof(f46,plain,(
% 0.10/0.42 ~domain(sK1_skl)=domain(sK1_skl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f42,f45])).
% 0.10/0.42 fof(f47,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f46])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.45 % Elapsed time: 0.050758 seconds
% 0.10/0.45 % CPU time: 0.133382 seconds
% 0.10/0.45 % Total memory used: 56.220 MB
% 0.10/0.45 % Net memory used: 55.870 MB
%------------------------------------------------------------------------------