%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE089+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 : n011.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 12:58:19 PM UTC 2026
% Result : Theorem 0.15s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KLE089+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 22:42:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.15/0.48 % Refutation found
% 0.15/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.48 fof(f1,axiom,(
% 0.15/0.48 (! [A,B] : addition(A,B) = addition(B,A) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f3,axiom,(
% 0.15/0.48 (! [A] : addition(A,zero) = A )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f9,axiom,(
% 0.15/0.48 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f13,axiom,(
% 0.15/0.48 (! [X0] : multiplication(antidomain(X0),X0) = zero )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f21,conjecture,(
% 0.15/0.48 (! [X0,X1] :( multiplication(domain(X0),X1) = zero<= addition(domain(X0),antidomain(X1)) = antidomain(X1) ) )),
% 0.15/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f22,negated_conjecture,(
% 0.15/0.48 ~((! [X0,X1] :( multiplication(domain(X0),X1) = zero<= addition(domain(X0),antidomain(X1)) = antidomain(X1) ) ))),
% 0.15/0.48 inference(negated_conjecture,[status(cth)],[f21])).
% 0.15/0.48 fof(f23,plain,(
% 0.15/0.48 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 0.15/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.48 fof(f25,plain,(
% 0.15/0.48 ![X0]: (addition(X0,zero)=X0)),
% 0.15/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.48 fof(f31,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 0.15/0.48 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/0.48 fof(f38,plain,(
% 0.15/0.48 ![X0]: (multiplication(antidomain(X0),X0)=zero)),
% 0.15/0.48 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/0.48 fof(f46,plain,(
% 0.15/0.48 (?[X0,X1]: (~multiplication(domain(X0),X1)=zero&addition(domain(X0),antidomain(X1))=antidomain(X1)))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.15/0.48 fof(f47,plain,(
% 0.15/0.48 (~multiplication(domain(sK0_skl),sK1_skl)=zero&addition(domain(sK0_skl),antidomain(sK1_skl))=antidomain(sK1_skl))),
% 0.15/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl)],[f46])).
% 0.15/0.48 fof(f48,plain,(
% 0.15/0.48 ~multiplication(domain(sK0_skl),sK1_skl)=zero),
% 0.15/0.48 inference(cnf_transformation,[status(thm)],[f47])).
% 0.15/0.48 fof(f49,plain,(
% 0.15/0.48 addition(domain(sK0_skl),antidomain(sK1_skl))=antidomain(sK1_skl)),
% 0.15/0.48 inference(cnf_transformation,[status(thm)],[f47])).
% 0.15/0.48 fof(f58,plain,(
% 0.15/0.48 antidomain(sK1_skl)=addition(antidomain(sK1_skl),domain(sK0_skl))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f49,f23])).
% 0.15/0.48 fof(f59,plain,(
% 0.15/0.48 ![X0]: (X0=addition(zero,X0))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f25,f23])).
% 0.15/0.48 fof(f273,plain,(
% 0.15/0.48 ![X0,X1]: (multiplication(addition(antidomain(X0),X1),X0)=addition(zero,multiplication(X1,X0)))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f38,f31])).
% 0.15/0.48 fof(f296,plain,(
% 0.15/0.48 ![X0,X1]: (multiplication(addition(antidomain(X0),X1),X0)=multiplication(X1,X0))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f59,f273])).
% 0.15/0.48 fof(f705,plain,(
% 0.15/0.48 multiplication(antidomain(sK1_skl),sK1_skl)=multiplication(domain(sK0_skl),sK1_skl)),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f58,f296])).
% 0.15/0.48 fof(f731,plain,(
% 0.15/0.48 zero=multiplication(domain(sK0_skl),sK1_skl)),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f38,f705])).
% 0.15/0.48 fof(f732,plain,(
% 0.15/0.48 $false),
% 0.15/0.48 inference(forward_subsumption_resolution,[status(thm)],[f731,f48])).
% 0.15/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.50 % Elapsed time: 0.124328 seconds
% 0.15/0.50 % CPU time: 0.662338 seconds
% 0.15/0.50 % Total memory used: 75.628 MB
% 0.15/0.50 % Net memory used: 75.204 MB
%------------------------------------------------------------------------------