%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE037+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 : n012.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 12:58:13 PM UTC 2026
% Result : Theorem 0.02s 0.33s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KLE037+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sun Sep 20 22:39:21 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.02/0.33 % Refutation found
% 0.02/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.33 fof(f1,axiom,(
% 0.02/0.33 (! [A,B] : addition(A,B) = addition(B,A) )),
% 0.02/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.33 fof(f2,axiom,(
% 0.02/0.33 (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 0.02/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.33 fof(f4,axiom,(
% 0.02/0.33 (! [A] : addition(A,A) = A )),
% 0.02/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.33 fof(f12,axiom,(
% 0.02/0.33 (! [A,B] :( leq(A,B)<=> addition(A,B) = B ) )),
% 0.02/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.33 fof(f13,axiom,(
% 0.02/0.33 (! [A] : leq(addition(one,multiplication(A,star(A))),star(A)) )),
% 0.02/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.33 fof(f17,conjecture,(
% 0.02/0.33 (! [X0] : leq(one,star(X0)) )),
% 0.02/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.33 fof(f18,negated_conjecture,(
% 0.02/0.33 ~((! [X0] : leq(one,star(X0)) ))),
% 0.02/0.33 inference(negated_conjecture,[status(cth)],[f17])).
% 0.02/0.33 fof(f19,plain,(
% 0.02/0.33 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 0.02/0.33 inference(cnf_transformation,[status(thm)],[f1])).
% 0.02/0.33 fof(f20,plain,(
% 0.02/0.33 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 0.02/0.33 inference(cnf_transformation,[status(thm)],[f2])).
% 0.02/0.33 fof(f22,plain,(
% 0.02/0.33 ![X0]: (addition(X0,X0)=X0)),
% 0.02/0.33 inference(cnf_transformation,[status(thm)],[f4])).
% 0.02/0.33 fof(f30,plain,(
% 0.02/0.33 ![A,B]: ((~leq(A,B)|addition(A,B)=B)&(leq(A,B)|~addition(A,B)=B))),
% 0.02/0.33 inference(NNF_transformation,[status(thm)],[f12])).
% 0.02/0.33 fof(f31,plain,(
% 0.02/0.33 (![A,B]: (~leq(A,B)|addition(A,B)=B))&(![A,B]: (leq(A,B)|~addition(A,B)=B))),
% 0.02/0.33 inference(miniscoping,[status(thm)],[f30])).
% 0.02/0.33 fof(f32,plain,(
% 0.02/0.33 ![X0,X1]: (~leq(X0,X1)|addition(X0,X1)=X1)),
% 0.02/0.33 inference(cnf_transformation,[status(thm)],[f31])).
% 0.02/0.33 fof(f33,plain,(
% 0.02/0.33 ![X0,X1]: (leq(X0,X1)|~addition(X0,X1)=X1)),
% 0.02/0.33 inference(cnf_transformation,[status(thm)],[f31])).
% 0.02/0.33 fof(f34,plain,(
% 0.02/0.33 ![X0]: (leq(addition(one,multiplication(X0,star(X0))),star(X0)))),
% 0.02/0.33 inference(cnf_transformation,[status(thm)],[f13])).
% 0.02/0.33 fof(f40,plain,(
% 0.02/0.33 (?[X0]: ~leq(one,star(X0)))),
% 0.02/0.33 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.02/0.33 fof(f41,plain,(
% 0.02/0.33 ~leq(one,star(sK0_skl))),
% 0.02/0.33 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f40])).
% 0.02/0.33 fof(f42,plain,(
% 0.02/0.33 ~leq(one,star(sK0_skl))),
% 0.02/0.33 inference(cnf_transformation,[status(thm)],[f41])).
% 0.02/0.33 fof(f45,plain,(
% 0.02/0.33 ~addition(one,star(sK0_skl))=star(sK0_skl)),
% 0.02/0.33 inference(resolution,[status(thm)],[f33,f42])).
% 0.02/0.33 fof(f47,plain,(
% 0.02/0.33 ![X0]: (addition(addition(one,multiplication(X0,star(X0))),star(X0))=star(X0))),
% 0.02/0.33 inference(resolution,[status(thm)],[f34,f32])).
% 0.02/0.33 fof(f69,plain,(
% 0.02/0.33 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X0,X1))),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f22,f20])).
% 0.02/0.33 fof(f215,plain,(
% 0.02/0.33 ![X0]: (addition(one,addition(multiplication(X0,star(X0)),star(X0)))=star(X0))),
% 0.02/0.33 inference(forward_demodulation,[status(thm)],[f20,f47])).
% 0.02/0.33 fof(f216,plain,(
% 0.02/0.33 ![X0]: (addition(one,addition(star(X0),multiplication(X0,star(X0))))=star(X0))),
% 0.02/0.33 inference(forward_demodulation,[status(thm)],[f19,f215])).
% 0.02/0.33 fof(f288,plain,(
% 0.02/0.33 ![X0]: (addition(one,star(X0))=addition(one,addition(star(X0),multiplication(X0,star(X0)))))),
% 0.02/0.33 inference(paramodulation,[status(thm)],[f216,f69])).
% 0.02/0.33 fof(f307,plain,(
% 0.02/0.33 ![X0]: (addition(one,star(X0))=star(X0))),
% 0.02/0.33 inference(forward_demodulation,[status(thm)],[f216,f288])).
% 0.02/0.33 fof(f317,plain,(
% 0.02/0.33 ~star(sK0_skl)=star(sK0_skl)),
% 0.02/0.33 inference(backward_demodulation,[status(thm)],[f307,f45])).
% 0.02/0.33 fof(f320,plain,(
% 0.02/0.33 $false),
% 0.02/0.33 inference(trivial_equality_resolution,[status(thm)],[f317])).
% 0.02/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.35 % Elapsed time: 0.051074 seconds
% 0.07/0.35 % CPU time: 0.139888 seconds
% 0.07/0.35 % Total memory used: 67.464 MB
% 0.07/0.35 % Net memory used: 67.045 MB
%------------------------------------------------------------------------------