%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE058+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 : n007.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 12:58:16 PM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE058+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 22:39:22 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,axiom,(
% 0.10/0.39 (! [A,B] : addition(A,B) = addition(B,A) )),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f6,axiom,(
% 0.10/0.39 (! [A] : multiplication(A,one) = A )),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f13,axiom,(
% 0.10/0.39 (! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) )),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f15,axiom,(
% 0.10/0.39 (! [X0] : addition(domain(X0),one) = one )),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f18,conjecture,(
% 0.10/0.39 domain(one) = one ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f19,negated_conjecture,(
% 0.10/0.39 ~(domain(one) = one )),
% 0.10/0.39 inference(negated_conjecture,[status(cth)],[f18])).
% 0.10/0.39 fof(f20,plain,(
% 0.10/0.39 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.39 fof(f25,plain,(
% 0.10/0.39 ![X0]: (multiplication(X0,one)=X0)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.39 fof(f35,plain,(
% 0.10/0.39 ![X0]: (addition(X0,multiplication(domain(X0),X0))=multiplication(domain(X0),X0))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.39 fof(f37,plain,(
% 0.10/0.39 ![X0]: (addition(domain(X0),one)=one)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.39 fof(f40,plain,(
% 0.10/0.39 ~domain(one)=one),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.39 fof(f43,plain,(
% 0.10/0.39 addition(one,domain(one))=multiplication(domain(one),one)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f25,f35])).
% 0.10/0.39 fof(f44,plain,(
% 0.10/0.39 addition(one,domain(one))=domain(one)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f25,f43])).
% 0.10/0.39 fof(f58,plain,(
% 0.10/0.39 ![X0]: (addition(one,domain(X0))=one)),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f20,f37])).
% 0.10/0.39 fof(f124,plain,(
% 0.10/0.39 one=domain(one)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f58,f44])).
% 0.10/0.39 fof(f125,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f124,f40])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.41 % Elapsed time: 0.043815 seconds
% 0.10/0.41 % CPU time: 0.134063 seconds
% 0.10/0.41 % Total memory used: 56.322 MB
% 0.10/0.41 % Net memory used: 56.002 MB
%------------------------------------------------------------------------------