%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE072+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 : 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 12:58:17 PM UTC 2026
% Result : Theorem 0.10s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE072+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n014.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % 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 22:42:05 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.37 fof(f9,axiom,(
% 0.10/0.37 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f14,axiom,(
% 0.10/0.37 (! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f17,axiom,(
% 0.10/0.37 (! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f18,conjecture,(
% 0.10/0.37 (! [X0,X1,X2] : domain(multiplication(addition(X0,X1),domain(X2))) = addition(domain(multiplication(X0,domain(X2))),domain(multiplication(X1,domain(X2)))) )),
% 0.10/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f19,negated_conjecture,(
% 0.10/0.37 ~((! [X0,X1,X2] : domain(multiplication(addition(X0,X1),domain(X2))) = addition(domain(multiplication(X0,domain(X2))),domain(multiplication(X1,domain(X2)))) ))),
% 0.10/0.37 inference(negated_conjecture,[status(cth)],[f18])).
% 0.10/0.37 fof(f28,plain,(
% 0.10/0.37 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.37 fof(f36,plain,(
% 0.10/0.37 ![X0,X1]: (domain(multiplication(X0,X1))=domain(multiplication(X0,domain(X1))))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.37 fof(f39,plain,(
% 0.10/0.37 ![X0,X1]: (domain(addition(X0,X1))=addition(domain(X0),domain(X1)))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.37 fof(f40,plain,(
% 0.10/0.37 (?[X0,X1,X2]: ~domain(multiplication(addition(X0,X1),domain(X2)))=addition(domain(multiplication(X0,domain(X2))),domain(multiplication(X1,domain(X2)))))),
% 0.10/0.37 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.10/0.37 fof(f41,plain,(
% 0.10/0.37 ~domain(multiplication(addition(sK0_skl,sK1_skl),domain(sK2_skl)))=addition(domain(multiplication(sK0_skl,domain(sK2_skl))),domain(multiplication(sK1_skl,domain(sK2_skl))))),
% 0.10/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl),skolemize(X2,sK2_skl)],[f40])).
% 0.10/0.37 fof(f42,plain,(
% 0.10/0.37 ~domain(multiplication(addition(sK0_skl,sK1_skl),domain(sK2_skl)))=addition(domain(multiplication(sK0_skl,domain(sK2_skl))),domain(multiplication(sK1_skl,domain(sK2_skl))))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f41])).
% 0.10/0.37 fof(f44,plain,(
% 0.10/0.37 ~domain(multiplication(addition(sK0_skl,sK1_skl),sK2_skl))=addition(domain(multiplication(sK0_skl,domain(sK2_skl))),domain(multiplication(sK1_skl,domain(sK2_skl))))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f36,f42])).
% 0.10/0.37 fof(f45,plain,(
% 0.10/0.37 ~domain(multiplication(addition(sK0_skl,sK1_skl),sK2_skl))=domain(addition(multiplication(sK0_skl,domain(sK2_skl)),multiplication(sK1_skl,domain(sK2_skl))))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f39,f44])).
% 0.10/0.37 fof(f46,plain,(
% 0.10/0.37 ~domain(multiplication(addition(sK0_skl,sK1_skl),sK2_skl))=domain(multiplication(addition(sK0_skl,sK1_skl),domain(sK2_skl)))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f28,f45])).
% 0.10/0.37 fof(f47,plain,(
% 0.10/0.37 ~domain(multiplication(addition(sK0_skl,sK1_skl),sK2_skl))=domain(multiplication(addition(sK0_skl,sK1_skl),sK2_skl))),
% 0.10/0.37 inference(forward_demodulation,[status(thm)],[f36,f46])).
% 0.10/0.37 fof(f48,plain,(
% 0.10/0.37 $false),
% 0.10/0.37 inference(trivial_equality_resolution,[status(thm)],[f47])).
% 0.10/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.032978 seconds
% 0.13/0.40 % CPU time: 0.064141 seconds
% 0.13/0.40 % Total memory used: 4.183 MB
% 0.13/0.40 % Net memory used: 4.171 MB
%------------------------------------------------------------------------------