%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE139+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 : 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 12:58:23 PM UTC 2026
% Result : Theorem 56.38s 7.69s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE139+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n011.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 22:45:40 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 56.38/7.69 % Refutation found
% 56.38/7.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 56.38/7.69 % SZS output start CNFRefutation for theBenchmark
% 56.38/7.69 fof(f1,axiom,(
% 56.38/7.69 (! [A,B] : addition(A,B) = addition(B,A) )),
% 56.38/7.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 56.38/7.69 fof(f2,axiom,(
% 56.38/7.69 (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 56.38/7.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 56.38/7.69 fof(f5,axiom,(
% 56.38/7.69 (! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) )),
% 56.38/7.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 56.38/7.69 fof(f9,axiom,(
% 56.38/7.69 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 56.38/7.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 56.38/7.69 fof(f10,axiom,(
% 56.38/7.69 (! [A] : multiplication(zero,A) = zero )),
% 56.38/7.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 56.38/7.69 fof(f12,axiom,(
% 56.38/7.69 (! [A] : addition(one,multiplication(star(A),A)) = star(A) )),
% 56.38/7.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 56.38/7.69 fof(f17,axiom,(
% 56.38/7.69 (! [A] : strong_iteration(A) = addition(star(A),multiplication(strong_iteration(A),zero)) )),
% 56.38/7.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 56.38/7.69 fof(f19,conjecture,(
% 56.38/7.69 (! [X0] : strong_iteration(X0) = addition(multiplication(strong_iteration(X0),X0),one) )),
% 56.38/7.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 56.38/7.69 fof(f20,negated_conjecture,(
% 56.38/7.69 ~((! [X0] : strong_iteration(X0) = addition(multiplication(strong_iteration(X0),X0),one) ))),
% 56.38/7.69 inference(negated_conjecture,[status(cth)],[f19])).
% 56.38/7.69 fof(f21,plain,(
% 56.38/7.69 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 56.38/7.69 inference(cnf_transformation,[status(thm)],[f1])).
% 56.38/7.69 fof(f22,plain,(
% 56.38/7.69 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 56.38/7.69 inference(cnf_transformation,[status(thm)],[f2])).
% 56.38/7.69 fof(f25,plain,(
% 56.38/7.69 ![X0,X1,X2]: (multiplication(X0,multiplication(X1,X2))=multiplication(multiplication(X0,X1),X2))),
% 56.38/7.69 inference(cnf_transformation,[status(thm)],[f5])).
% 56.38/7.69 fof(f29,plain,(
% 56.38/7.69 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 56.38/7.69 inference(cnf_transformation,[status(thm)],[f9])).
% 56.38/7.69 fof(f30,plain,(
% 56.38/7.69 ![X0]: (multiplication(zero,X0)=zero)),
% 56.38/7.69 inference(cnf_transformation,[status(thm)],[f10])).
% 56.38/7.69 fof(f32,plain,(
% 56.38/7.69 ![X0]: (addition(one,multiplication(star(X0),X0))=star(X0))),
% 56.38/7.69 inference(cnf_transformation,[status(thm)],[f12])).
% 56.38/7.69 fof(f40,plain,(
% 56.38/7.69 ![X0]: (strong_iteration(X0)=addition(star(X0),multiplication(strong_iteration(X0),zero)))),
% 56.38/7.69 inference(cnf_transformation,[status(thm)],[f17])).
% 56.38/7.69 fof(f45,plain,(
% 56.38/7.69 (?[X0]: ~strong_iteration(X0)=addition(multiplication(strong_iteration(X0),X0),one))),
% 56.38/7.69 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 56.38/7.69 fof(f46,plain,(
% 56.38/7.69 ~strong_iteration(sK0_skl)=addition(multiplication(strong_iteration(sK0_skl),sK0_skl),one)),
% 56.38/7.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f45])).
% 56.38/7.69 fof(f47,plain,(
% 56.38/7.69 ~strong_iteration(sK0_skl)=addition(multiplication(strong_iteration(sK0_skl),sK0_skl),one)),
% 56.38/7.69 inference(cnf_transformation,[status(thm)],[f46])).
% 56.38/7.69 fof(f54,plain,(
% 56.38/7.69 ~strong_iteration(sK0_skl)=addition(one,multiplication(strong_iteration(sK0_skl),sK0_skl))),
% 56.38/7.69 inference(paramodulation,[status(thm)],[f21,f47])).
% 56.38/7.69 fof(f76,plain,(
% 56.38/7.69 ![X0,X1]: (addition(one,addition(multiplication(star(X0),X0),X1))=addition(star(X0),X1))),
% 56.38/7.69 inference(paramodulation,[status(thm)],[f32,f22])).
% 56.38/7.69 fof(f1173,plain,(
% 56.38/7.69 ![X0,X1]: (addition(one,multiplication(addition(star(X0),X1),X0))=addition(star(X0),multiplication(X1,X0)))),
% 56.38/7.69 inference(paramodulation,[status(thm)],[f29,f76])).
% 56.38/7.69 fof(f56324,plain,(
% 56.38/7.69 ![X0]: (addition(one,multiplication(strong_iteration(X0),X0))=addition(star(X0),multiplication(multiplication(strong_iteration(X0),zero),X0)))),
% 56.38/7.69 inference(paramodulation,[status(thm)],[f40,f1173])).
% 56.38/7.69 fof(f56533,plain,(
% 56.38/7.69 ![X0]: (addition(one,multiplication(strong_iteration(X0),X0))=addition(star(X0),multiplication(strong_iteration(X0),multiplication(zero,X0))))),
% 56.38/7.69 inference(forward_demodulation,[status(thm)],[f25,f56324])).
% 56.38/7.69 fof(f56534,plain,(
% 56.38/7.69 ![X0]: (addition(one,multiplication(strong_iteration(X0),X0))=addition(star(X0),multiplication(strong_iteration(X0),zero)))),
% 36.41/7.75 inference(forward_demodulation,[status(thm)],[f30,f56533])).
% 36.41/7.75 fof(f56535,plain,(
% 36.41/7.75 ![X0]: (addition(one,multiplication(strong_iteration(X0),X0))=strong_iteration(X0))),
% 36.41/7.75 inference(forward_demodulation,[status(thm)],[f40,f56534])).
% 36.41/7.75 fof(f69972,plain,(
% 36.41/7.75 ~strong_iteration(sK0_skl)=strong_iteration(sK0_skl)),
% 36.41/7.75 inference(backward_demodulation,[status(thm)],[f56535,f54])).
% 36.41/7.75 fof(f70138,plain,(
% 36.41/7.75 $false),
% 36.41/7.75 inference(trivial_equality_resolution,[status(thm)],[f69972])).
% 36.41/7.75 % SZS output end CNFRefutation for theBenchmark.p
% 36.41/7.77 % Elapsed time: 7.408169 seconds
% 36.41/7.77 % CPU time: 58.338002 seconds
% 36.41/7.77 % Total memory used: 454.986 MB
% 36.41/7.77 % Net memory used: 443.703 MB
%------------------------------------------------------------------------------