%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE061+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 : n019.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 0.17s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE061+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n019.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 20 22:41:51 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.50 % Refutation found
% 0.17/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.50 fof(f1,axiom,(
% 0.17/0.50 (! [A,B] : addition(A,B) = addition(B,A) )),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f7,axiom,(
% 0.17/0.50 (! [A] : multiplication(one,A) = A )),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f9,axiom,(
% 0.17/0.50 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f13,axiom,(
% 0.17/0.50 (! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) )),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f14,axiom,(
% 0.17/0.50 (! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) )),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f15,axiom,(
% 0.17/0.50 (! [X0] : addition(domain(X0),one) = one )),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f18,conjecture,(
% 0.17/0.50 (! [X0] : multiplication(domain(X0),domain(X0)) = domain(X0) )),
% 0.17/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f19,negated_conjecture,(
% 0.17/0.50 ~((! [X0] : multiplication(domain(X0),domain(X0)) = domain(X0) ))),
% 0.17/0.50 inference(negated_conjecture,[status(cth)],[f18])).
% 0.17/0.50 fof(f20,plain,(
% 0.17/0.50 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/0.50 fof(f26,plain,(
% 0.17/0.50 ![X0]: (multiplication(one,X0)=X0)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.50 fof(f28,plain,(
% 0.17/0.50 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f9])).
% 0.17/0.50 fof(f35,plain,(
% 0.17/0.50 ![X0]: (addition(X0,multiplication(domain(X0),X0))=multiplication(domain(X0),X0))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f13])).
% 0.17/0.50 fof(f36,plain,(
% 0.17/0.50 ![X0,X1]: (domain(multiplication(X0,X1))=domain(multiplication(X0,domain(X1))))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f14])).
% 0.17/0.50 fof(f37,plain,(
% 0.17/0.50 ![X0]: (addition(domain(X0),one)=one)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f15])).
% 0.17/0.50 fof(f40,plain,(
% 0.17/0.50 (?[X0]: ~multiplication(domain(X0),domain(X0))=domain(X0))),
% 0.17/0.50 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.17/0.50 fof(f41,plain,(
% 0.17/0.50 ~multiplication(domain(sK0_skl),domain(sK0_skl))=domain(sK0_skl)),
% 0.17/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f40])).
% 0.17/0.50 fof(f42,plain,(
% 0.17/0.50 ~multiplication(domain(sK0_skl),domain(sK0_skl))=domain(sK0_skl)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f41])).
% 0.17/0.50 fof(f43,plain,(
% 0.17/0.50 ![X0]: (addition(one,domain(X0))=one)),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f20,f37])).
% 0.17/0.50 fof(f107,plain,(
% 0.17/0.50 ![X0,X1]: (multiplication(addition(X0,one),X1)=addition(multiplication(X0,X1),X1))),
% 0.17/0.50 inference(paramodulation,[status(thm)],[f26,f28])).
% 0.17/0.50 fof(f117,plain,(
% 0.17/0.50 ![X0,X1]: (multiplication(addition(X0,one),X1)=addition(X1,multiplication(X0,X1)))),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f20,f107])).
% 0.17/0.50 fof(f195,plain,(
% 0.17/0.50 ![X0]: (domain(multiplication(one,X0))=domain(domain(X0)))),
% 0.17/0.50 inference(paramodulation,[status(thm)],[f26,f36])).
% 0.17/0.50 fof(f200,plain,(
% 0.17/0.50 ![X0]: (domain(X0)=domain(domain(X0)))),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f26,f195])).
% 0.17/0.50 fof(f262,plain,(
% 0.17/0.50 ![X0]: (addition(domain(X0),multiplication(domain(X0),domain(X0)))=multiplication(domain(domain(X0)),domain(X0)))),
% 0.17/0.50 inference(paramodulation,[status(thm)],[f200,f35])).
% 0.17/0.50 fof(f266,plain,(
% 0.17/0.50 ![X0]: (multiplication(addition(domain(X0),one),domain(X0))=multiplication(domain(domain(X0)),domain(X0)))),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f117,f262])).
% 0.17/0.50 fof(f267,plain,(
% 0.17/0.50 ![X0]: (multiplication(addition(one,domain(X0)),domain(X0))=multiplication(domain(domain(X0)),domain(X0)))),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f20,f266])).
% 0.17/0.50 fof(f268,plain,(
% 0.17/0.50 ![X0]: (multiplication(one,domain(X0))=multiplication(domain(domain(X0)),domain(X0)))),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f43,f267])).
% 0.17/0.50 fof(f269,plain,(
% 0.17/0.50 ![X0]: (domain(X0)=multiplication(domain(domain(X0)),domain(X0)))),
% 0.17/0.51 inference(forward_demodulation,[status(thm)],[f26,f268])).
% 0.17/0.51 fof(f270,plain,(
% 0.17/0.51 ~domain(sK0_skl)=domain(sK0_skl)),
% 0.17/0.51 inference(backward_demodulation,[status(thm)],[f271,f42])).
% 0.17/0.51 fof(f271,plain,(
% 0.17/0.51 ![X0]: (domain(X0)=multiplication(domain(X0),domain(X0)))),
% 0.17/0.51 inference(forward_demodulation,[status(thm)],[f200,f269])).
% 0.17/0.51 fof(f272,plain,(
% 0.17/0.51 $false),
% 0.17/0.51 inference(trivial_equality_resolution,[status(thm)],[f270])).
% 0.17/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.58 % Elapsed time: 0.131266 seconds
% 0.26/0.58 % CPU time: 0.160801 seconds
% 0.26/0.58 % Total memory used: 11.871 MB
% 0.26/0.58 % Net memory used: 11.855 MB
%------------------------------------------------------------------------------