%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE076+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 : n003.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 12:58:17 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE076+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
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:43:31 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f10,axiom,(
% 0.09/0.40 (! [A] : multiplication(A,zero) = zero )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f16,axiom,(
% 0.09/0.40 domain(zero) = zero ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f18,conjecture,(
% 0.09/0.40 (! [X0] : domain(multiplication(X0,domain(zero))) = zero )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f19,negated_conjecture,(
% 0.09/0.40 ~((! [X0] : domain(multiplication(X0,domain(zero))) = zero ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f18])).
% 0.09/0.40 fof(f29,plain,(
% 0.09/0.40 ![X0]: (multiplication(X0,zero)=zero)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.40 fof(f38,plain,(
% 0.09/0.40 domain(zero)=zero),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.40 fof(f40,plain,(
% 0.09/0.40 (?[X0]: ~domain(multiplication(X0,domain(zero)))=zero)),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.09/0.40 fof(f41,plain,(
% 0.09/0.40 ~domain(multiplication(sK0_skl,domain(zero)))=zero),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f40])).
% 0.09/0.40 fof(f42,plain,(
% 0.09/0.40 ~domain(multiplication(sK0_skl,domain(zero)))=zero),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.09/0.40 fof(f43,plain,(
% 0.09/0.40 ~domain(multiplication(sK0_skl,zero))=zero),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f38,f42])).
% 0.09/0.40 fof(f44,plain,(
% 0.09/0.40 ~domain(zero)=zero),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f29,f43])).
% 0.09/0.40 fof(f45,plain,(
% 0.09/0.40 ~zero=zero),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f38,f44])).
% 0.09/0.40 fof(f46,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f45])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.053010 seconds
% 0.09/0.42 % CPU time: 0.154402 seconds
% 0.09/0.42 % Total memory used: 66.564 MB
% 0.09/0.42 % Net memory used: 66.171 MB
%------------------------------------------------------------------------------