%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE138+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 : n013.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 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE138+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
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:45:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 (! [A,B] : addition(A,B) = addition(B,A) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (! [A] : addition(A,zero) = A )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f10,axiom,(
% 0.09/0.40 (! [A] : multiplication(zero,A) = zero )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f15,axiom,(
% 0.09/0.40 (! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f19,conjecture,(
% 0.09/0.40 strong_iteration(zero) = one ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f20,negated_conjecture,(
% 0.09/0.40 ~(strong_iteration(zero) = one )),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f19])).
% 0.09/0.40 fof(f21,plain,(
% 0.09/0.40 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.40 fof(f23,plain,(
% 0.09/0.40 ![X0]: (addition(X0,zero)=X0)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f30,plain,(
% 0.09/0.40 ![X0]: (multiplication(zero,X0)=zero)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.40 fof(f37,plain,(
% 0.09/0.40 ![X0]: (strong_iteration(X0)=addition(multiplication(X0,strong_iteration(X0)),one))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.40 fof(f45,plain,(
% 0.09/0.40 ~strong_iteration(zero)=one),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.40 fof(f60,plain,(
% 0.09/0.40 strong_iteration(zero)=addition(zero,one)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f30,f37])).
% 0.09/0.40 fof(f91,plain,(
% 0.09/0.40 ![X0]: (X0=addition(zero,X0))),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f23,f21])).
% 0.09/0.40 fof(f113,plain,(
% 0.09/0.40 strong_iteration(zero)=one),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f91,f60])).
% 0.09/0.40 fof(f124,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f113,f45])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.053267 seconds
% 0.09/0.43 % CPU time: 0.158206 seconds
% 0.09/0.43 % Total memory used: 50.244 MB
% 0.09/0.43 % Net memory used: 50.008 MB
%------------------------------------------------------------------------------