%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE070+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 : n016.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 12:58:17 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE070+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
% 0.10/0.36 % Computer : n016.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 22:46:53 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (! [A,B] : addition(A,B) = addition(B,A) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,axiom,(
% 0.14/0.40 (! [A] : multiplication(A,one) = A )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,axiom,(
% 0.14/0.40 (! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f15,axiom,(
% 0.14/0.40 (! [X0] : addition(domain(X0),one) = one )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f18,conjecture,(
% 0.14/0.40 (! [X0,X1] : addition(domain(X0),multiplication(domain(X0),domain(X1))) = domain(X0) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f19,negated_conjecture,(
% 0.14/0.40 ~((! [X0,X1] : addition(domain(X0),multiplication(domain(X0),domain(X1))) = domain(X0) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f18])).
% 0.14/0.40 fof(f20,plain,(
% 0.14/0.40 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.40 fof(f25,plain,(
% 0.14/0.40 ![X0]: (multiplication(X0,one)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f27,plain,(
% 0.14/0.40 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X1),multiplication(X0,X2)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.40 fof(f37,plain,(
% 0.14/0.40 ![X0]: (addition(domain(X0),one)=one)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.40 fof(f40,plain,(
% 0.14/0.40 (?[X0,X1]: ~addition(domain(X0),multiplication(domain(X0),domain(X1)))=domain(X0))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f41,plain,(
% 0.14/0.40 ~addition(domain(sK0_skl),multiplication(domain(sK0_skl),domain(sK1_skl)))=domain(sK0_skl)),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl)],[f40])).
% 0.14/0.40 fof(f42,plain,(
% 0.14/0.40 ~addition(domain(sK0_skl),multiplication(domain(sK0_skl),domain(sK1_skl)))=domain(sK0_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.14/0.40 fof(f43,plain,(
% 0.14/0.40 ![X0]: (addition(one,domain(X0))=one)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f20,f37])).
% 0.14/0.40 fof(f83,plain,(
% 0.14/0.40 ![X0,X1]: (multiplication(X0,addition(one,X1))=addition(X0,multiplication(X0,X1)))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f25,f27])).
% 0.14/0.40 fof(f95,plain,(
% 0.14/0.40 ~multiplication(domain(sK0_skl),addition(one,domain(sK1_skl)))=domain(sK0_skl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f83,f42])).
% 0.14/0.40 fof(f101,plain,(
% 0.14/0.40 ~multiplication(domain(sK0_skl),one)=domain(sK0_skl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f43,f95])).
% 0.14/0.40 fof(f102,plain,(
% 0.14/0.40 ~domain(sK0_skl)=domain(sK0_skl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f25,f101])).
% 0.14/0.40 fof(f103,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f102])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.062375 seconds
% 0.14/0.43 % CPU time: 0.170644 seconds
% 0.14/0.43 % Total memory used: 66.856 MB
% 0.14/0.43 % Net memory used: 66.493 MB
%------------------------------------------------------------------------------