%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE054+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 12:58:16 PM UTC 2026
% Result : Theorem 0.13s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE054+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
% 0.07/0.35 % Computer : n016.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 22:46:24 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.13/0.45 % Refutation found
% 0.13/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.45 fof(f1,axiom,(
% 0.13/0.45 (! [A,B] : addition(A,B) = addition(B,A) )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f6,axiom,(
% 0.13/0.45 (! [A] : multiplication(A,one) = A )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f7,axiom,(
% 0.13/0.45 (! [A] : multiplication(one,A) = A )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f8,axiom,(
% 0.13/0.45 (! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f9,axiom,(
% 0.13/0.45 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f13,axiom,(
% 0.13/0.45 (! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f14,axiom,(
% 0.13/0.45 (! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f15,axiom,(
% 0.13/0.45 (! [X0] : addition(domain(X0),one) = one )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f17,axiom,(
% 0.13/0.45 (! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f18,conjecture,(
% 0.13/0.45 (! [X0,X1] : addition(domain(multiplication(X0,X1)),domain(X0)) = domain(X0) )),
% 0.13/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.45 fof(f19,negated_conjecture,(
% 0.13/0.45 ~((! [X0,X1] : addition(domain(multiplication(X0,X1)),domain(X0)) = domain(X0) ))),
% 0.13/0.45 inference(negated_conjecture,[status(cth)],[f18])).
% 0.13/0.45 fof(f20,plain,(
% 0.13/0.45 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.45 fof(f25,plain,(
% 0.13/0.45 ![X0]: (multiplication(X0,one)=X0)),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.45 fof(f26,plain,(
% 0.13/0.45 ![X0]: (multiplication(one,X0)=X0)),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.45 fof(f27,plain,(
% 0.13/0.45 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X1),multiplication(X0,X2)))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.45 fof(f28,plain,(
% 0.13/0.45 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.45 fof(f35,plain,(
% 0.13/0.45 ![X0]: (addition(X0,multiplication(domain(X0),X0))=multiplication(domain(X0),X0))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.45 fof(f36,plain,(
% 0.13/0.45 ![X0,X1]: (domain(multiplication(X0,X1))=domain(multiplication(X0,domain(X1))))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.45 fof(f37,plain,(
% 0.13/0.45 ![X0]: (addition(domain(X0),one)=one)),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.45 fof(f39,plain,(
% 0.13/0.45 ![X0,X1]: (domain(addition(X0,X1))=addition(domain(X0),domain(X1)))),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.45 fof(f40,plain,(
% 0.13/0.45 (?[X0,X1]: ~addition(domain(multiplication(X0,X1)),domain(X0))=domain(X0))),
% 0.13/0.45 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.13/0.45 fof(f41,plain,(
% 0.13/0.45 ~addition(domain(multiplication(sK0_skl,sK1_skl)),domain(sK0_skl))=domain(sK0_skl)),
% 0.13/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl)],[f40])).
% 0.13/0.45 fof(f42,plain,(
% 0.13/0.45 ~addition(domain(multiplication(sK0_skl,sK1_skl)),domain(sK0_skl))=domain(sK0_skl)),
% 0.13/0.45 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.45 fof(f43,plain,(
% 0.13/0.45 ~domain(addition(multiplication(sK0_skl,sK1_skl),sK0_skl))=domain(sK0_skl)),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f39,f42])).
% 0.13/0.45 fof(f87,plain,(
% 0.13/0.45 ![X0]: (addition(one,domain(X0))=one)),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f20,f37])).
% 0.13/0.45 fof(f202,plain,(
% 0.13/0.45 ![X0,X1]: (multiplication(X0,addition(X1,one))=addition(multiplication(X0,X1),X0))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f25,f27])).
% 0.13/0.45 fof(f223,plain,(
% 0.13/0.45 ~domain(multiplication(sK0_skl,addition(sK1_skl,one)))=domain(sK0_skl)),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f202,f43])).
% 0.13/0.45 fof(f518,plain,(
% 0.13/0.45 ![X0,X1]: (multiplication(addition(one,X0),X1)=addition(X1,multiplication(X0,X1)))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f26,f28])).
% 0.13/0.45 fof(f539,plain,(
% 0.13/0.45 ![X0]: (multiplication(addition(one,domain(X0)),X0)=multiplication(domain(X0),X0))),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f518,f35])).
% 0.13/0.45 fof(f556,plain,(
% 0.13/0.45 ![X0]: (multiplication(one,X0)=multiplication(domain(X0),X0))),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f87,f539])).
% 0.13/0.45 fof(f557,plain,(
% 0.13/0.45 ![X0]: (X0=multiplication(domain(X0),X0))),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f26,f556])).
% 0.13/0.45 fof(f559,plain,(
% 0.13/0.45 one=domain(one)),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f25,f557])).
% 0.13/0.45 fof(f576,plain,(
% 0.13/0.45 ![X0]: (domain(addition(X0,one))=addition(domain(X0),one))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f559,f39])).
% 0.13/0.45 fof(f582,plain,(
% 0.13/0.45 ![X0]: (domain(addition(X0,one))=one)),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f37,f576])).
% 0.13/0.45 fof(f594,plain,(
% 0.13/0.45 ![X0,X1]: (domain(multiplication(X0,addition(X1,one)))=domain(multiplication(X0,one)))),
% 0.13/0.45 inference(paramodulation,[status(thm)],[f582,f36])).
% 0.13/0.45 fof(f601,plain,(
% 0.13/0.45 ~domain(sK0_skl)=domain(sK0_skl)),
% 0.13/0.45 inference(backward_demodulation,[status(thm)],[f602,f223])).
% 0.13/0.45 fof(f602,plain,(
% 0.13/0.45 ![X0,X1]: (domain(multiplication(X0,addition(X1,one)))=domain(X0))),
% 0.13/0.45 inference(forward_demodulation,[status(thm)],[f25,f594])).
% 0.13/0.45 fof(f603,plain,(
% 0.13/0.45 $false),
% 0.13/0.45 inference(trivial_equality_resolution,[status(thm)],[f601])).
% 0.13/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.46 % Elapsed time: 0.099894 seconds
% 0.13/0.46 % CPU time: 0.537525 seconds
% 0.13/0.46 % Total memory used: 62.422 MB
% 0.13/0.46 % Net memory used: 62.252 MB
%------------------------------------------------------------------------------