%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE150+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 : n002.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 12:58:24 PM UTC 2026
% Result : Theorem 5.87s 1.27s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE150+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n002.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 20 22:49:31 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 5.87/1.27 % Refutation found
% 5.87/1.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.87/1.27 % SZS output start CNFRefutation for theBenchmark
% 5.87/1.27 fof(f1,axiom,(
% 5.87/1.27 (! [A,B] : addition(A,B) = addition(B,A) )),
% 5.87/1.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.87/1.27 fof(f5,axiom,(
% 5.87/1.27 (! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) )),
% 5.87/1.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.87/1.27 fof(f10,axiom,(
% 5.87/1.27 (! [A] : multiplication(zero,A) = zero )),
% 5.87/1.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.87/1.27 fof(f11,axiom,(
% 5.87/1.27 (! [A] : addition(one,multiplication(A,star(A))) = star(A) )),
% 5.87/1.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.87/1.27 fof(f15,axiom,(
% 5.87/1.27 (! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one) )),
% 5.87/1.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.87/1.27 fof(f19,conjecture,(
% 5.87/1.27 (! [X0] : strong_iteration(multiplication(X0,zero)) = addition(one,multiplication(X0,zero)) )),
% 5.87/1.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.87/1.27 fof(f20,negated_conjecture,(
% 5.87/1.27 ~((! [X0] : strong_iteration(multiplication(X0,zero)) = addition(one,multiplication(X0,zero)) ))),
% 5.87/1.27 inference(negated_conjecture,[status(cth)],[f19])).
% 5.87/1.27 fof(f21,plain,(
% 5.87/1.27 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 5.87/1.27 inference(cnf_transformation,[status(thm)],[f1])).
% 5.87/1.27 fof(f25,plain,(
% 5.87/1.27 ![X0,X1,X2]: (multiplication(X0,multiplication(X1,X2))=multiplication(multiplication(X0,X1),X2))),
% 5.87/1.27 inference(cnf_transformation,[status(thm)],[f5])).
% 5.87/1.27 fof(f30,plain,(
% 5.87/1.27 ![X0]: (multiplication(zero,X0)=zero)),
% 5.87/1.27 inference(cnf_transformation,[status(thm)],[f10])).
% 5.87/1.27 fof(f31,plain,(
% 5.87/1.27 ![X0]: (addition(one,multiplication(X0,star(X0)))=star(X0))),
% 5.87/1.27 inference(cnf_transformation,[status(thm)],[f11])).
% 5.87/1.27 fof(f37,plain,(
% 5.87/1.27 ![X0]: (strong_iteration(X0)=addition(multiplication(X0,strong_iteration(X0)),one))),
% 5.87/1.27 inference(cnf_transformation,[status(thm)],[f15])).
% 5.87/1.27 fof(f45,plain,(
% 5.87/1.27 (?[X0]: ~strong_iteration(multiplication(X0,zero))=addition(one,multiplication(X0,zero)))),
% 5.87/1.27 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 5.87/1.27 fof(f46,plain,(
% 5.87/1.27 ~strong_iteration(multiplication(sK0_skl,zero))=addition(one,multiplication(sK0_skl,zero))),
% 5.87/1.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f45])).
% 5.87/1.27 fof(f47,plain,(
% 5.87/1.27 ~strong_iteration(multiplication(sK0_skl,zero))=addition(one,multiplication(sK0_skl,zero))),
% 5.87/1.27 inference(cnf_transformation,[status(thm)],[f46])).
% 5.87/1.27 fof(f48,plain,(
% 5.87/1.27 ![X0]: (strong_iteration(X0)=addition(one,multiplication(X0,strong_iteration(X0))))),
% 5.87/1.27 inference(forward_demodulation,[status(thm)],[f21,f37])).
% 5.87/1.27 fof(f150,plain,(
% 5.87/1.27 ![X0,X1]: (addition(one,multiplication(X0,multiplication(X1,star(multiplication(X0,X1)))))=star(multiplication(X0,X1)))),
% 5.87/1.27 inference(paramodulation,[status(thm)],[f25,f31])).
% 5.87/1.27 fof(f206,plain,(
% 5.87/1.27 ![X0,X1]: (strong_iteration(multiplication(X0,X1))=addition(one,multiplication(X0,multiplication(X1,strong_iteration(multiplication(X0,X1))))))),
% 5.87/1.27 inference(paramodulation,[status(thm)],[f25,f48])).
% 5.87/1.27 fof(f1742,plain,(
% 5.87/1.27 ![X0]: (addition(one,multiplication(X0,zero))=star(multiplication(X0,zero)))),
% 5.87/1.27 inference(paramodulation,[status(thm)],[f30,f150])).
% 5.87/1.27 fof(f1770,plain,(
% 5.87/1.27 ~strong_iteration(multiplication(sK0_skl,zero))=star(multiplication(sK0_skl,zero))),
% 5.87/1.27 inference(backward_demodulation,[status(thm)],[f1742,f47])).
% 5.87/1.27 fof(f5227,plain,(
% 5.87/1.27 ![X0]: (strong_iteration(multiplication(X0,zero))=addition(one,multiplication(X0,zero)))),
% 5.87/1.27 inference(paramodulation,[status(thm)],[f30,f206])).
% 5.87/1.27 fof(f5254,plain,(
% 5.87/1.27 ~star(multiplication(sK0_skl,zero))=star(multiplication(sK0_skl,zero))),
% 5.87/1.27 inference(backward_demodulation,[status(thm)],[f5255,f1770])).
% 5.87/1.27 fof(f5255,plain,(
% 5.87/1.27 ![X0]: (strong_iteration(multiplication(X0,zero))=star(multiplication(X0,zero)))),
% 5.87/1.27 inference(forward_demodulation,[status(thm)],[f1742,f5227])).
% 5.87/1.27 fof(f5271,plain,(
% 5.87/1.27 $false),
% 5.87/1.27 inference(trivial_equality_resolution,[status(thm)],[f5254])).
% 5.87/1.27 % SZS output end CNFRefutation for theBenchmark.p
% 5.87/1.29 % Elapsed time: 0.852460 seconds
% 5.87/1.29 % CPU time: 6.430372 seconds
% 5.87/1.29 % Total memory used: 108.821 MB
% 5.87/1.29 % Net memory used: 107.136 MB
%------------------------------------------------------------------------------