%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE056+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 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE056+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
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 22:41:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f3,axiom,(
% 0.10/0.40 (! [A] : addition(A,zero) = A )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f11,axiom,(
% 0.10/0.40 (! [A] : multiplication(zero,A) = zero )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f13,axiom,(
% 0.10/0.40 (! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f18,conjecture,(
% 0.10/0.40 (! [X0] :( domain(X0) = zero=> X0 = zero ) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f19,negated_conjecture,(
% 0.10/0.40 ~((! [X0] :( domain(X0) = zero=> X0 = zero ) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f18])).
% 0.10/0.40 fof(f22,plain,(
% 0.10/0.40 ![X0]: (addition(X0,zero)=X0)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.40 fof(f30,plain,(
% 0.10/0.40 ![X0]: (multiplication(zero,X0)=zero)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.40 fof(f35,plain,(
% 0.10/0.40 ![X0]: (addition(X0,multiplication(domain(X0),X0))=multiplication(domain(X0),X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.40 fof(f40,plain,(
% 0.10/0.40 (?[X0]: (domain(X0)=zero&~X0=zero))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.10/0.40 fof(f41,plain,(
% 0.10/0.40 (domain(sK0_skl)=zero&~sK0_skl=zero)),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f40])).
% 0.10/0.40 fof(f42,plain,(
% 0.10/0.40 domain(sK0_skl)=zero),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.10/0.40 fof(f43,plain,(
% 0.10/0.40 ~sK0_skl=zero),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.10/0.40 fof(f48,plain,(
% 0.10/0.40 addition(sK0_skl,multiplication(zero,sK0_skl))=multiplication(domain(sK0_skl),sK0_skl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f42,f35])).
% 0.10/0.40 fof(f52,plain,(
% 0.10/0.40 addition(sK0_skl,zero)=multiplication(domain(sK0_skl),sK0_skl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f30,f48])).
% 0.10/0.40 fof(f53,plain,(
% 0.10/0.40 sK0_skl=multiplication(domain(sK0_skl),sK0_skl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f22,f52])).
% 0.10/0.40 fof(f54,plain,(
% 0.10/0.40 sK0_skl=multiplication(zero,sK0_skl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f42,f53])).
% 0.10/0.40 fof(f55,plain,(
% 0.10/0.40 sK0_skl=zero),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f30,f54])).
% 0.10/0.40 fof(f56,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f55,f43])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.049848 seconds
% 0.10/0.42 % CPU time: 0.141335 seconds
% 0.10/0.42 % Total memory used: 54.128 MB
% 0.10/0.42 % Net memory used: 53.832 MB
%------------------------------------------------------------------------------