%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE140+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 : n005.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 12:58:23 PM UTC 2026
% Result : Theorem 60.25s 8.05s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE140+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
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 22:45:48 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 60.25/8.05 % Refutation found
% 60.25/8.05 % SZS status Theorem for theBenchmark: Theorem is valid
% 60.25/8.05 % SZS output start CNFRefutation for theBenchmark
% 60.25/8.05 fof(f1,axiom,(
% 60.25/8.05 (! [A,B] : addition(A,B) = addition(B,A) )),
% 60.25/8.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.25/8.05 fof(f2,axiom,(
% 60.25/8.05 (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 60.25/8.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.25/8.05 fof(f4,axiom,(
% 60.25/8.05 (! [A] : addition(A,A) = A )),
% 60.25/8.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.25/8.05 fof(f6,axiom,(
% 60.25/8.05 (! [A] : multiplication(A,one) = A )),
% 60.25/8.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.25/8.05 fof(f7,axiom,(
% 60.25/8.05 (! [A] : multiplication(one,A) = A )),
% 60.25/8.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.25/8.05 fof(f9,axiom,(
% 60.25/8.05 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 60.25/8.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.25/8.05 fof(f15,axiom,(
% 60.25/8.05 (! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one) )),
% 60.25/8.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.25/8.05 fof(f16,axiom,(
% 60.25/8.05 (! [A,B,C] :( leq(C,addition(multiplication(A,C),B))=> leq(C,multiplication(strong_iteration(A),B)) ) )),
% 60.25/8.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.25/8.05 fof(f18,axiom,(
% 60.25/8.05 (! [A,B] :( leq(A,B)<=> addition(A,B) = B ) )),
% 60.25/8.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.25/8.05 fof(f19,conjecture,(
% 60.25/8.05 (! [X0,X1] :( leq(X0,X1)=> leq(strong_iteration(X0),strong_iteration(X1)) ) )),
% 60.25/8.05 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.25/8.05 fof(f20,negated_conjecture,(
% 60.25/8.05 ~((! [X0,X1] :( leq(X0,X1)=> leq(strong_iteration(X0),strong_iteration(X1)) ) ))),
% 60.25/8.05 inference(negated_conjecture,[status(cth)],[f19])).
% 60.25/8.05 fof(f21,plain,(
% 60.25/8.05 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 60.25/8.05 inference(cnf_transformation,[status(thm)],[f1])).
% 60.25/8.05 fof(f22,plain,(
% 60.25/8.05 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 60.25/8.05 inference(cnf_transformation,[status(thm)],[f2])).
% 60.25/8.05 fof(f24,plain,(
% 60.25/8.05 ![X0]: (addition(X0,X0)=X0)),
% 60.25/8.05 inference(cnf_transformation,[status(thm)],[f4])).
% 60.25/8.05 fof(f26,plain,(
% 60.25/8.05 ![X0]: (multiplication(X0,one)=X0)),
% 60.25/8.05 inference(cnf_transformation,[status(thm)],[f6])).
% 60.25/8.05 fof(f27,plain,(
% 60.25/8.05 ![X0]: (multiplication(one,X0)=X0)),
% 60.25/8.05 inference(cnf_transformation,[status(thm)],[f7])).
% 60.25/8.05 fof(f29,plain,(
% 60.25/8.05 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 60.25/8.05 inference(cnf_transformation,[status(thm)],[f9])).
% 60.25/8.05 fof(f37,plain,(
% 60.25/8.05 ![X0]: (strong_iteration(X0)=addition(multiplication(X0,strong_iteration(X0)),one))),
% 60.25/8.05 inference(cnf_transformation,[status(thm)],[f15])).
% 60.25/8.05 fof(f38,plain,(
% 60.25/8.05 ![A,B,C]: (~leq(C,addition(multiplication(A,C),B))|leq(C,multiplication(strong_iteration(A),B)))),
% 60.25/8.05 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 60.25/8.05 fof(f39,plain,(
% 60.25/8.05 ![X0,X1,X2]: (~leq(X0,addition(multiplication(X1,X0),X2))|leq(X0,multiplication(strong_iteration(X1),X2)))),
% 60.25/8.05 inference(cnf_transformation,[status(thm)],[f38])).
% 60.25/8.05 fof(f41,plain,(
% 60.25/8.05 ![A,B]: ((~leq(A,B)|addition(A,B)=B)&(leq(A,B)|~addition(A,B)=B))),
% 60.25/8.05 inference(NNF_transformation,[status(thm)],[f18])).
% 60.25/8.05 fof(f42,plain,(
% 60.25/8.05 (![A,B]: (~leq(A,B)|addition(A,B)=B))&(![A,B]: (leq(A,B)|~addition(A,B)=B))),
% 60.25/8.05 inference(miniscoping,[status(thm)],[f41])).
% 60.25/8.05 fof(f43,plain,(
% 60.25/8.05 ![X0,X1]: (~leq(X0,X1)|addition(X0,X1)=X1)),
% 60.25/8.05 inference(cnf_transformation,[status(thm)],[f42])).
% 60.25/8.05 fof(f44,plain,(
% 60.25/8.05 ![X0,X1]: (leq(X0,X1)|~addition(X0,X1)=X1)),
% 60.25/8.05 inference(cnf_transformation,[status(thm)],[f42])).
% 60.25/8.05 fof(f45,plain,(
% 60.25/8.05 (?[X0,X1]: (leq(X0,X1)&~leq(strong_iteration(X0),strong_iteration(X1))))),
% 60.25/8.05 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 60.25/8.05 fof(f46,plain,(
% 60.25/8.05 (leq(sK0_skl,sK1_skl)&~leq(strong_iteration(sK0_skl),strong_iteration(sK1_skl)))),
% 60.25/8.05 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl)],[f45])).
% 60.25/8.05 fof(f47,plain,(
% 60.25/8.05 leq(sK0_skl,sK1_skl)),
% 60.25/8.05 inference(cnf_transformation,[status(thm)],[f46])).
% 60.25/8.05 fof(f48,plain,(
% 60.25/8.05 ~leq(strong_iteration(sK0_skl),strong_iteration(sK1_skl))),
% 60.25/8.05 inference(cnf_transformation,[status(thm)],[f46])).
% 28.22/8.13 fof(f49,plain,(
% 28.22/8.13 ![X0]: (strong_iteration(X0)=addition(one,multiplication(X0,strong_iteration(X0))))),
% 28.22/8.13 inference(forward_demodulation,[status(thm)],[f21,f37])).
% 28.22/8.13 fof(f68,plain,(
% 28.22/8.13 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X0,X1))),
% 28.22/8.13 inference(paramodulation,[status(thm)],[f24,f22])).
% 28.22/8.13 fof(f110,plain,(
% 28.22/8.13 ![X0,X1]: (multiplication(addition(one,X0),X1)=addition(X1,multiplication(X0,X1)))),
% 28.22/8.13 inference(paramodulation,[status(thm)],[f27,f29])).
% 28.22/8.13 fof(f149,plain,(
% 28.22/8.13 addition(sK0_skl,sK1_skl)=sK1_skl),
% 28.22/8.13 inference(resolution,[status(thm)],[f43,f47])).
% 28.22/8.13 fof(f220,plain,(
% 28.22/8.13 ![X0,X1]: (addition(one,addition(multiplication(X0,strong_iteration(X0)),X1))=addition(strong_iteration(X0),X1))),
% 28.22/8.13 inference(paramodulation,[status(thm)],[f49,f22])).
% 28.22/8.13 fof(f227,plain,(
% 28.22/8.13 ![X0,X1,X2]: (~leq(X0,addition(X1,multiplication(X2,X0)))|leq(X0,multiplication(strong_iteration(X2),X1)))),
% 28.22/8.13 inference(paramodulation,[status(thm)],[f21,f39])).
% 28.22/8.13 fof(f465,plain,(
% 28.22/8.13 ![X0,X1]: (leq(X0,addition(X0,X1)))),
% 28.22/8.13 inference(resolution,[status(thm)],[f68,f44])).
% 28.22/8.13 fof(f1179,plain,(
% 28.22/8.13 ![X0,X1]: (leq(X0,multiplication(addition(one,X1),X0)))),
% 28.22/8.13 inference(paramodulation,[status(thm)],[f110,f465])).
% 28.22/8.13 fof(f4806,plain,(
% 28.22/8.13 ![X0,X1]: (addition(one,multiplication(addition(X0,X1),strong_iteration(X0)))=addition(strong_iteration(X0),multiplication(X1,strong_iteration(X0))))),
% 28.22/8.13 inference(paramodulation,[status(thm)],[f29,f220])).
% 28.22/8.13 fof(f4829,plain,(
% 28.22/8.13 ![X0,X1]: (addition(one,multiplication(addition(X0,X1),strong_iteration(X0)))=multiplication(addition(one,X1),strong_iteration(X0)))),
% 28.22/8.13 inference(forward_demodulation,[status(thm)],[f110,f4806])).
% 28.22/8.13 fof(f29905,plain,(
% 28.22/8.13 ![X0,X1]: (~leq(strong_iteration(X0),multiplication(addition(one,X1),strong_iteration(X0)))|leq(strong_iteration(X0),multiplication(strong_iteration(addition(X0,X1)),one)))),
% 28.22/8.13 inference(paramodulation,[status(thm)],[f4829,f227])).
% 28.22/8.13 fof(f30097,plain,(
% 28.22/8.13 ![X0,X1]: (~leq(strong_iteration(X0),multiplication(addition(one,X1),strong_iteration(X0)))|leq(strong_iteration(X0),strong_iteration(addition(X0,X1))))),
% 28.22/8.13 inference(forward_demodulation,[status(thm)],[f26,f29905])).
% 28.22/8.13 fof(f30098,plain,(
% 28.22/8.13 ![X0,X1]: (leq(strong_iteration(X0),strong_iteration(addition(X0,X1))))),
% 28.22/8.13 inference(forward_subsumption_resolution,[status(thm)],[f30097,f1179])).
% 28.22/8.13 fof(f31097,plain,(
% 28.22/8.13 leq(strong_iteration(sK0_skl),strong_iteration(sK1_skl))),
% 28.22/8.13 inference(paramodulation,[status(thm)],[f149,f30098])).
% 28.22/8.13 fof(f31159,plain,(
% 28.22/8.13 $false),
% 28.22/8.13 inference(forward_subsumption_resolution,[status(thm)],[f31097,f48])).
% 28.22/8.13 % SZS output end CNFRefutation for theBenchmark.p
% 28.22/8.15 % Elapsed time: 7.778771 seconds
% 28.22/8.15 % CPU time: 61.270188 seconds
% 28.22/8.15 % Total memory used: 506.696 MB
% 28.22/8.15 % Net memory used: 493.280 MB
%------------------------------------------------------------------------------