%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE065+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 : n008.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 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE065+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
% 0.10/0.35 % Computer : n008.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
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 22:42:40 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (! [A] : addition(A,zero) = A )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f11,axiom,(
% 0.13/0.38 (! [A] : multiplication(zero,A) = zero )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f13,axiom,(
% 0.13/0.38 (! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f14,axiom,(
% 0.13/0.38 (! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,axiom,(
% 0.13/0.38 domain(zero) = zero ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f18,conjecture,(
% 0.13/0.38 (! [X0,X1] :( multiplication(X0,X1) = zero=> multiplication(X0,domain(X1)) = zero ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f19,negated_conjecture,(
% 0.13/0.38 ~((! [X0,X1] :( multiplication(X0,X1) = zero=> multiplication(X0,domain(X1)) = zero ) ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f18])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 ![X0]: (addition(X0,zero)=X0)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f30,plain,(
% 0.13/0.38 ![X0]: (multiplication(zero,X0)=zero)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 ![X0]: (addition(X0,multiplication(domain(X0),X0))=multiplication(domain(X0),X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.38 fof(f36,plain,(
% 0.13/0.38 ![X0,X1]: (domain(multiplication(X0,X1))=domain(multiplication(X0,domain(X1))))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.38 fof(f38,plain,(
% 0.13/0.38 domain(zero)=zero),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 (?[X0,X1]: (multiplication(X0,X1)=zero&~multiplication(X0,domain(X1))=zero))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.13/0.38 fof(f41,plain,(
% 0.13/0.38 (multiplication(sK0_skl,sK1_skl)=zero&~multiplication(sK0_skl,domain(sK1_skl))=zero)),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl)],[f40])).
% 0.13/0.38 fof(f42,plain,(
% 0.13/0.38 multiplication(sK0_skl,sK1_skl)=zero),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.38 fof(f43,plain,(
% 0.13/0.38 ~multiplication(sK0_skl,domain(sK1_skl))=zero),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.38 fof(f85,plain,(
% 0.13/0.38 ![X0,X1]: (addition(multiplication(X0,domain(X1)),multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))))=multiplication(domain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f36,f35])).
% 0.13/0.38 fof(f90,plain,(
% 0.13/0.38 ![X0,X1]: (addition(multiplication(X0,domain(X1)),multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))))=multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f36,f85])).
% 0.13/0.38 fof(f284,plain,(
% 0.13/0.38 addition(multiplication(sK0_skl,domain(sK1_skl)),multiplication(domain(zero),multiplication(sK0_skl,domain(sK1_skl))))=multiplication(domain(multiplication(sK0_skl,sK1_skl)),multiplication(sK0_skl,domain(sK1_skl)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f42,f90])).
% 0.13/0.38 fof(f352,plain,(
% 0.13/0.38 addition(multiplication(sK0_skl,domain(sK1_skl)),multiplication(zero,multiplication(sK0_skl,domain(sK1_skl))))=multiplication(domain(multiplication(sK0_skl,sK1_skl)),multiplication(sK0_skl,domain(sK1_skl)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f38,f284])).
% 0.13/0.38 fof(f353,plain,(
% 0.13/0.38 addition(multiplication(sK0_skl,domain(sK1_skl)),zero)=multiplication(domain(multiplication(sK0_skl,sK1_skl)),multiplication(sK0_skl,domain(sK1_skl)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f30,f352])).
% 0.13/0.38 fof(f354,plain,(
% 0.13/0.38 multiplication(sK0_skl,domain(sK1_skl))=multiplication(domain(multiplication(sK0_skl,sK1_skl)),multiplication(sK0_skl,domain(sK1_skl)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f22,f353])).
% 0.13/0.38 fof(f355,plain,(
% 0.13/0.38 multiplication(sK0_skl,domain(sK1_skl))=multiplication(domain(zero),multiplication(sK0_skl,domain(sK1_skl)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f42,f354])).
% 0.13/0.38 fof(f356,plain,(
% 0.13/0.38 multiplication(sK0_skl,domain(sK1_skl))=multiplication(zero,multiplication(sK0_skl,domain(sK1_skl)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f38,f355])).
% 0.13/0.38 fof(f357,plain,(
% 0.13/0.38 multiplication(sK0_skl,domain(sK1_skl))=zero),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f30,f356])).
% 0.13/0.38 fof(f358,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f357,f43])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.048695 seconds
% 0.13/0.40 % CPU time: 0.171801 seconds
% 0.13/0.40 % Total memory used: 67.719 MB
% 0.13/0.40 % Net memory used: 67.375 MB
%------------------------------------------------------------------------------