%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE085+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 : n009.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 12:58:18 PM UTC 2026
% Result : Theorem 0.15s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE085+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 : n009.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 22:42:14 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.42 fof(f2,axiom,(
% 0.15/0.42 (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f4,axiom,(
% 0.15/0.42 (! [A] : addition(A,A) = A )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f15,axiom,(
% 0.15/0.42 (! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f16,axiom,(
% 0.15/0.42 (! [X0] : domain(X0) = antidomain(antidomain(X0)) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f21,conjecture,(
% 0.15/0.42 (! [X0] : addition(domain(X0),one) = one )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f22,negated_conjecture,(
% 0.15/0.42 ~((! [X0] : addition(domain(X0),one) = one ))),
% 0.15/0.42 inference(negated_conjecture,[status(cth)],[f21])).
% 0.15/0.42 fof(f24,plain,(
% 0.15/0.42 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.42 fof(f26,plain,(
% 0.15/0.42 ![X0]: (addition(X0,X0)=X0)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.42 fof(f40,plain,(
% 0.15/0.42 ![X0]: (addition(antidomain(antidomain(X0)),antidomain(X0))=one)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.42 fof(f41,plain,(
% 0.15/0.42 ![X0]: (domain(X0)=antidomain(antidomain(X0)))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.42 fof(f46,plain,(
% 0.15/0.42 (?[X0]: ~addition(domain(X0),one)=one)),
% 0.15/0.42 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.15/0.42 fof(f47,plain,(
% 0.15/0.42 ~addition(domain(sK0_skl),one)=one),
% 0.15/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f46])).
% 0.15/0.42 fof(f48,plain,(
% 0.15/0.42 ~addition(domain(sK0_skl),one)=one),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f47])).
% 0.15/0.42 fof(f49,plain,(
% 0.15/0.42 ![X0]: (addition(domain(X0),antidomain(X0))=one)),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f41,f40])).
% 0.15/0.42 fof(f69,plain,(
% 0.15/0.42 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X0,X1))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f26,f24])).
% 0.15/0.42 fof(f82,plain,(
% 0.15/0.42 ![X0]: (addition(domain(X0),one)=addition(domain(X0),antidomain(X0)))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f49,f69])).
% 0.15/0.42 fof(f92,plain,(
% 0.15/0.42 ~one=one),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f93,f48])).
% 0.15/0.42 fof(f93,plain,(
% 0.15/0.42 ![X0]: (addition(domain(X0),one)=one)),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f49,f82])).
% 0.15/0.42 fof(f101,plain,(
% 0.15/0.42 $false),
% 0.15/0.42 inference(trivial_equality_resolution,[status(thm)],[f92])).
% 0.15/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.46 % Elapsed time: 0.086528 seconds
% 0.15/0.46 % CPU time: 0.238215 seconds
% 0.15/0.46 % Total memory used: 34.831 MB
% 0.15/0.46 % Net memory used: 34.774 MB
%------------------------------------------------------------------------------