%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE039+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 : n020.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 12:58:14 PM UTC 2026
% Result : Theorem 14.49s 2.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE039+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n020.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sun Sep 20 22:41:18 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.48 % Drodi V4.1.1
% 14.49/2.42 % Refutation found
% 14.49/2.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.49/2.42 % SZS output start CNFRefutation for theBenchmark
% 14.49/2.42 fof(f1,axiom,(
% 14.49/2.42 (! [A,B] : addition(A,B) = addition(B,A) )),
% 14.49/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.49/2.42 fof(f2,axiom,(
% 14.49/2.42 (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 14.49/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.49/2.42 fof(f4,axiom,(
% 14.49/2.42 (! [A] : addition(A,A) = A )),
% 14.49/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.49/2.42 fof(f5,axiom,(
% 14.49/2.42 (! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) )),
% 14.49/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.49/2.42 fof(f6,axiom,(
% 14.49/2.42 (! [A] : multiplication(A,one) = A )),
% 14.49/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.49/2.42 fof(f7,axiom,(
% 14.49/2.42 (! [A] : multiplication(one,A) = A )),
% 14.49/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.49/2.42 fof(f8,axiom,(
% 14.49/2.42 (! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )),
% 14.49/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.49/2.42 fof(f9,axiom,(
% 14.49/2.42 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 14.49/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.49/2.42 fof(f12,axiom,(
% 14.49/2.42 (! [A,B] :( leq(A,B)<=> addition(A,B) = B ) )),
% 14.49/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.49/2.42 fof(f13,axiom,(
% 14.49/2.42 (! [A] : leq(addition(one,multiplication(A,star(A))),star(A)) )),
% 14.49/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.49/2.42 fof(f14,axiom,(
% 14.49/2.42 (! [A] : leq(addition(one,multiplication(star(A),A)),star(A)) )),
% 14.49/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.49/2.42 fof(f15,axiom,(
% 14.49/2.42 (! [A,B,C] :( leq(addition(multiplication(A,B),C),B)=> leq(multiplication(star(A),C),B) ) )),
% 14.49/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.49/2.42 fof(f16,axiom,(
% 14.49/2.42 (! [A,B,C] :( leq(addition(multiplication(A,B),C),A)=> leq(multiplication(C,star(B)),A) ) )),
% 14.49/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.49/2.42 fof(f17,conjecture,(
% 14.49/2.42 (! [X0] : star(star(X0)) = star(X0) )),
% 14.49/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.49/2.42 fof(f18,negated_conjecture,(
% 14.49/2.42 ~((! [X0] : star(star(X0)) = star(X0) ))),
% 14.49/2.42 inference(negated_conjecture,[status(cth)],[f17])).
% 14.49/2.42 fof(f19,plain,(
% 14.49/2.42 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f1])).
% 14.49/2.42 fof(f20,plain,(
% 14.49/2.42 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f2])).
% 14.49/2.42 fof(f22,plain,(
% 14.49/2.42 ![X0]: (addition(X0,X0)=X0)),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f4])).
% 14.49/2.42 fof(f23,plain,(
% 14.49/2.42 ![X0,X1,X2]: (multiplication(X0,multiplication(X1,X2))=multiplication(multiplication(X0,X1),X2))),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f5])).
% 14.49/2.42 fof(f24,plain,(
% 14.49/2.42 ![X0]: (multiplication(X0,one)=X0)),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f6])).
% 14.49/2.42 fof(f25,plain,(
% 14.49/2.42 ![X0]: (multiplication(one,X0)=X0)),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f7])).
% 14.49/2.42 fof(f26,plain,(
% 14.49/2.42 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X1),multiplication(X0,X2)))),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f8])).
% 14.49/2.42 fof(f27,plain,(
% 14.49/2.42 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f9])).
% 14.49/2.42 fof(f30,plain,(
% 14.49/2.42 ![A,B]: ((~leq(A,B)|addition(A,B)=B)&(leq(A,B)|~addition(A,B)=B))),
% 14.49/2.42 inference(NNF_transformation,[status(thm)],[f12])).
% 14.49/2.42 fof(f31,plain,(
% 14.49/2.42 (![A,B]: (~leq(A,B)|addition(A,B)=B))&(![A,B]: (leq(A,B)|~addition(A,B)=B))),
% 14.49/2.42 inference(miniscoping,[status(thm)],[f30])).
% 14.49/2.42 fof(f32,plain,(
% 14.49/2.42 ![X0,X1]: (~leq(X0,X1)|addition(X0,X1)=X1)),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f31])).
% 14.49/2.42 fof(f33,plain,(
% 14.49/2.42 ![X0,X1]: (leq(X0,X1)|~addition(X0,X1)=X1)),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f31])).
% 14.49/2.42 fof(f34,plain,(
% 14.49/2.42 ![X0]: (leq(addition(one,multiplication(X0,star(X0))),star(X0)))),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f13])).
% 14.49/2.42 fof(f35,plain,(
% 14.49/2.42 ![X0]: (leq(addition(one,multiplication(star(X0),X0)),star(X0)))),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f14])).
% 14.49/2.42 fof(f36,plain,(
% 14.49/2.42 ![A,B,C]: (~leq(addition(multiplication(A,B),C),B)|leq(multiplication(star(A),C),B))),
% 14.49/2.42 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 14.49/2.42 fof(f37,plain,(
% 14.49/2.42 ![X0,X1,X2]: (~leq(addition(multiplication(X0,X1),X2),X1)|leq(multiplication(star(X0),X2),X1))),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f36])).
% 14.49/2.42 fof(f38,plain,(
% 14.49/2.42 ![A,B,C]: (~leq(addition(multiplication(A,B),C),A)|leq(multiplication(C,star(B)),A))),
% 14.49/2.42 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 14.49/2.42 fof(f39,plain,(
% 14.49/2.42 ![X0,X1,X2]: (~leq(addition(multiplication(X0,X1),X2),X0)|leq(multiplication(X2,star(X1)),X0))),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f38])).
% 14.49/2.42 fof(f40,plain,(
% 14.49/2.42 (?[X0]: ~star(star(X0))=star(X0))),
% 14.49/2.42 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 14.49/2.42 fof(f41,plain,(
% 14.49/2.42 ~star(star(sK0_skl))=star(sK0_skl)),
% 14.49/2.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f40])).
% 14.49/2.42 fof(f42,plain,(
% 14.49/2.42 ~star(star(sK0_skl))=star(sK0_skl)),
% 14.49/2.42 inference(cnf_transformation,[status(thm)],[f41])).
% 14.49/2.42 fof(f47,plain,(
% 14.49/2.42 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X2,addition(X0,X1)))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f19,f20])).
% 14.49/2.42 fof(f51,plain,(
% 14.49/2.42 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X1,X0),X2))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f19,f20])).
% 14.49/2.42 fof(f53,plain,(
% 14.49/2.42 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X0,X1))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f22,f20])).
% 14.49/2.42 fof(f59,plain,(
% 14.49/2.42 ![X0]: (leq(X0,X0))),
% 14.49/2.42 inference(resolution,[status(thm)],[f33,f22])).
% 14.49/2.42 fof(f115,plain,(
% 14.49/2.42 ![X0,X1]: (multiplication(X0,addition(one,X1))=addition(X0,multiplication(X0,X1)))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f24,f26])).
% 14.49/2.42 fof(f118,plain,(
% 14.49/2.42 ![X0,X1]: (multiplication(X0,addition(X1,one))=addition(multiplication(X0,X1),X0))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f24,f26])).
% 14.49/2.42 fof(f133,plain,(
% 14.49/2.42 ![X0,X1]: (multiplication(X0,addition(X1,one))=addition(X0,multiplication(X0,X1)))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f19,f118])).
% 14.49/2.42 fof(f174,plain,(
% 14.49/2.42 ![X0,X1]: (leq(X0,addition(X0,X1)))),
% 14.49/2.42 inference(resolution,[status(thm)],[f53,f33])).
% 14.49/2.42 fof(f182,plain,(
% 14.49/2.42 ![X0,X1]: (addition(X0,addition(X1,X0))=addition(X0,X1))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f19,f53])).
% 14.49/2.42 fof(f257,plain,(
% 14.49/2.42 ![X0,X1]: (leq(X0,addition(X1,X0)))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f19,f174])).
% 14.49/2.42 fof(f260,plain,(
% 14.49/2.42 ![X0,X1]: (addition(X0,addition(X1,X0))=addition(X1,X0))),
% 14.49/2.42 inference(resolution,[status(thm)],[f257,f32])).
% 14.49/2.42 fof(f263,plain,(
% 14.49/2.42 ![X0,X1,X2]: (leq(X0,addition(X1,addition(X2,X0))))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f20,f257])).
% 14.49/2.42 fof(f273,plain,(
% 14.49/2.42 ![X0,X1,X2]: (leq(X0,addition(addition(X1,X0),X2)))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f19,f263])).
% 14.49/2.42 fof(f284,plain,(
% 14.49/2.42 ![X0,X1,X2]: (leq(X0,addition(X1,addition(X0,X2))))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f20,f273])).
% 14.49/2.42 fof(f387,plain,(
% 14.49/2.42 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X1,X2),multiplication(X0,X2)))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f19,f27])).
% 14.49/2.42 fof(f392,plain,(
% 14.49/2.42 ![X0,X1]: (multiplication(addition(one,X0),X1)=addition(X1,multiplication(X0,X1)))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f25,f27])).
% 14.49/2.42 fof(f397,plain,(
% 14.49/2.42 ![X0,X1]: (multiplication(addition(X0,one),X1)=addition(multiplication(X0,X1),X1))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f25,f27])).
% 14.49/2.42 fof(f406,plain,(
% 14.49/2.42 ![X0,X1,X2]: (leq(multiplication(X0,X1),multiplication(addition(X0,X2),X1)))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f27,f174])).
% 14.49/2.42 fof(f422,plain,(
% 14.49/2.42 ![X0,X1]: (multiplication(addition(X0,one),X1)=addition(X1,multiplication(X0,X1)))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f19,f397])).
% 14.49/2.42 fof(f434,plain,(
% 14.49/2.42 ![X0]: (addition(addition(one,multiplication(X0,star(X0))),star(X0))=star(X0))),
% 14.49/2.42 inference(resolution,[status(thm)],[f34,f32])).
% 14.49/2.42 fof(f438,plain,(
% 14.49/2.42 ![X0]: (addition(one,addition(multiplication(X0,star(X0)),star(X0)))=star(X0))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f20,f434])).
% 14.49/2.42 fof(f439,plain,(
% 14.49/2.42 ![X0]: (addition(one,addition(star(X0),multiplication(X0,star(X0))))=star(X0))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f19,f438])).
% 14.49/2.42 fof(f440,plain,(
% 14.49/2.42 ![X0]: (addition(one,multiplication(addition(X0,one),star(X0)))=star(X0))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f422,f439])).
% 14.49/2.42 fof(f442,plain,(
% 14.49/2.42 ![X0]: (addition(addition(one,multiplication(star(X0),X0)),star(X0))=star(X0))),
% 14.49/2.42 inference(resolution,[status(thm)],[f35,f32])).
% 14.49/2.42 fof(f445,plain,(
% 14.49/2.42 ![X0]: (addition(one,addition(multiplication(star(X0),X0),star(X0)))=star(X0))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f20,f442])).
% 14.49/2.42 fof(f446,plain,(
% 14.49/2.42 ![X0]: (addition(one,addition(star(X0),multiplication(star(X0),X0)))=star(X0))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f19,f445])).
% 14.49/2.42 fof(f447,plain,(
% 14.49/2.42 ![X0]: (addition(one,multiplication(star(X0),addition(X0,one)))=star(X0))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f133,f446])).
% 14.49/2.42 fof(f540,plain,(
% 14.49/2.42 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X1,X0))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f19,f260])).
% 14.49/2.42 fof(f603,plain,(
% 14.49/2.42 ![X0,X1,X2]: (~leq(multiplication(addition(X0,X1),X2),X2)|leq(multiplication(star(X0),multiplication(X1,X2)),X2))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f27,f37])).
% 14.49/2.42 fof(f857,plain,(
% 14.49/2.42 ![X0,X1]: (~leq(multiplication(X0,X1),X0)|leq(multiplication(multiplication(X0,X1),star(X1)),X0))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f22,f39])).
% 14.49/2.42 fof(f866,plain,(
% 14.49/2.42 ![X0,X1]: (~leq(multiplication(X0,X1),X0)|leq(multiplication(X0,multiplication(X1,star(X1))),X0))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f23,f857])).
% 14.49/2.42 fof(f915,plain,(
% 14.49/2.42 ![X0,X1,X2]: (addition(X0,addition(addition(X1,X0),X2))=addition(X2,addition(X0,X1)))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f182,f47])).
% 14.49/2.42 fof(f918,plain,(
% 14.49/2.42 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X2,addition(X1,X0)))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f19,f47])).
% 14.49/2.42 fof(f1012,plain,(
% 14.49/2.42 ![X0,X1,X2]: (addition(X0,addition(X1,addition(X0,X2)))=addition(X2,addition(X0,X1)))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f20,f915])).
% 14.49/2.42 fof(f1405,plain,(
% 14.49/2.42 ![X0,X1,X2]: (addition(multiplication(X0,X1),multiplication(addition(X0,X2),X1))=multiplication(addition(X0,X2),X1))),
% 14.49/2.42 inference(resolution,[status(thm)],[f406,f32])).
% 14.49/2.42 fof(f1428,plain,(
% 14.49/2.42 ![X0,X1,X2]: (multiplication(addition(X0,addition(X0,X1)),X2)=multiplication(addition(X0,X1),X2))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f27,f1405])).
% 14.49/2.42 fof(f1429,plain,(
% 14.49/2.42 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=multiplication(addition(X1,X0),X2))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f540,f1428])).
% 14.49/2.42 fof(f1588,plain,(
% 14.49/2.42 ![X0,X1,X2]: (addition(X0,addition(X1,addition(addition(X1,X0),X2)))=addition(addition(X1,X0),X2))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f53,f51])).
% 14.49/2.42 fof(f1674,plain,(
% 14.49/2.42 ![X0,X1,X2]: (addition(X0,addition(X1,addition(X0,addition(X1,X2))))=addition(addition(X1,X0),X2))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f51,f1588])).
% 14.49/2.42 fof(f1675,plain,(
% 14.49/2.42 ![X0,X1,X2]: (addition(addition(X0,X1),addition(X2,X0))=addition(addition(X0,X2),X1))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f1012,f1674])).
% 14.49/2.42 fof(f1676,plain,(
% 14.49/2.42 ![X0,X1,X2]: (addition(X0,addition(X1,addition(X2,X1)))=addition(addition(X1,X2),X0))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f51,f1675])).
% 14.49/2.42 fof(f1677,plain,(
% 14.49/2.42 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X2,X1),X0))),
% 14.49/2.42 inference(forward_demodulation,[status(thm)],[f260,f1676])).
% 14.49/2.42 fof(f2278,plain,(
% 14.49/2.42 ![X0,X1,X2]: (leq(X0,addition(X1,multiplication(X0,addition(one,X2)))))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f115,f284])).
% 14.49/2.42 fof(f5508,plain,(
% 14.49/2.42 ![X0,X1,X2]: (leq(X0,addition(X1,multiplication(addition(one,X2),X0))))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f392,f284])).
% 14.49/2.42 fof(f6420,plain,(
% 14.49/2.42 ![X0,X1,X2]: (leq(X0,multiplication(addition(X0,X1),addition(one,X2))))),
% 14.49/2.42 inference(paramodulation,[status(thm)],[f387,f2278])).
% 14.49/2.42 fof(f7965,plain,(
% 14.49/2.42 ![X0]: (addition(one,multiplication(addition(one,X0),star(X0)))=star(X0))),
% 14.49/2.43 inference(paramodulation,[status(thm)],[f1429,f440])).
% 14.49/2.43 fof(f7977,plain,(
% 14.49/2.43 ![X0,X1,X2]: (leq(X0,multiplication(addition(X0,X1),star(X2))))),
% 14.49/2.43 inference(paramodulation,[status(thm)],[f440,f6420])).
% 14.49/2.43 fof(f7979,plain,(
% 14.49/2.43 ![X0,X1,X2]: (leq(X0,addition(X1,multiplication(star(X2),X0))))),
% 14.49/2.43 inference(paramodulation,[status(thm)],[f440,f5508])).
% 14.49/2.43 fof(f8023,plain,(
% 14.49/2.43 ![X0]: (addition(one,star(X0))=addition(multiplication(addition(X0,one),star(X0)),one))),
% 14.49/2.43 inference(paramodulation,[status(thm)],[f440,f540])).
% 14.49/2.43 fof(f8024,plain,(
% 14.49/2.43 ![X0]: (addition(multiplication(addition(X0,one),star(X0)),star(X0))=addition(one,multiplication(addition(X0,one),star(X0))))),
% 14.49/2.43 inference(paramodulation,[status(thm)],[f440,f260])).
% 14.49/2.43 fof(f8081,plain,(
% 14.49/2.43 ![X0]: (addition(one,star(X0))=addition(one,multiplication(addition(X0,one),star(X0))))),
% 14.49/2.43 inference(forward_demodulation,[status(thm)],[f19,f8023])).
% 14.49/2.43 fof(f8083,plain,(
% 14.49/2.43 ![X0]: (addition(one,star(X0))=star(X0))),
% 14.49/2.43 inference(forward_demodulation,[status(thm)],[f440,f8081])).
% 14.49/2.43 fof(f8084,plain,(
% 14.49/2.43 ![X0]: (addition(star(X0),multiplication(addition(X0,one),star(X0)))=addition(one,multiplication(addition(X0,one),star(X0))))),
% 14.49/2.43 inference(forward_demodulation,[status(thm)],[f19,f8024])).
% 14.49/2.43 fof(f8085,plain,(
% 14.49/2.43 ![X0]: (multiplication(addition(addition(X0,one),one),star(X0))=addition(one,multiplication(addition(X0,one),star(X0))))),
% 14.49/2.43 inference(forward_demodulation,[status(thm)],[f422,f8084])).
% 14.49/2.43 fof(f8086,plain,(
% 14.49/2.43 ![X0]: (multiplication(addition(one,addition(X0,one)),star(X0))=addition(one,multiplication(addition(X0,one),star(X0))))),
% 14.49/2.43 inference(forward_demodulation,[status(thm)],[f1429,f8085])).
% 14.49/2.43 fof(f8087,plain,(
% 14.49/2.43 ![X0]: (multiplication(addition(X0,one),star(X0))=addition(one,multiplication(addition(X0,one),star(X0))))),
% 14.49/2.43 inference(forward_demodulation,[status(thm)],[f260,f8086])).
% 14.49/2.43 fof(f8101,plain,(
% 14.49/2.43 ![X0]: (multiplication(addition(X0,one),star(X0))=star(X0))),
% 14.49/2.43 inference(forward_demodulation,[status(thm)],[f440,f8087])).
% 14.49/2.43 fof(f8396,plain,(
% 14.49/2.43 ![X0,X1,X2]: (addition(X0,multiplication(addition(X0,X1),star(X2)))=multiplication(addition(X0,X1),star(X2)))),
% 14.49/2.43 inference(resolution,[status(thm)],[f7977,f32])).
% 14.49/2.43 fof(f8437,plain,(
% 14.49/2.43 ![X0]: (multiplication(addition(one,X0),star(X0))=star(X0))),
% 14.49/2.43 inference(backward_demodulation,[status(thm)],[f8396,f7965])).
% 14.49/2.43 fof(f8580,plain,(
% 14.49/2.43 ![X0]: (leq(addition(X0,one),star(X0)))),
% 14.49/2.43 inference(paramodulation,[status(thm)],[f447,f7979])).
% 14.49/2.43 fof(f8792,plain,(
% 14.49/2.43 ![X0]: (addition(addition(X0,one),star(X0))=star(X0))),
% 14.49/2.43 inference(resolution,[status(thm)],[f8580,f32])).
% 14.49/2.43 fof(f8803,plain,(
% 14.49/2.43 ![X0]: (addition(star(X0),addition(one,X0))=star(X0))),
% 14.49/2.43 inference(forward_demodulation,[status(thm)],[f1677,f8792])).
% 14.49/2.43 fof(f8804,plain,(
% 14.49/2.43 ![X0]: (addition(X0,addition(one,star(X0)))=star(X0))),
% 14.49/2.43 inference(forward_demodulation,[status(thm)],[f918,f8803])).
% 14.49/2.43 fof(f8805,plain,(
% 14.49/2.43 ![X0]: (addition(X0,star(X0))=star(X0))),
% 14.49/2.43 inference(forward_demodulation,[status(thm)],[f8083,f8804])).
% 14.49/2.43 fof(f10932,plain,(
% 14.49/2.43 ![X0]: (~leq(star(X0),star(X0))|leq(multiplication(star(X0),multiplication(one,star(X0))),star(X0)))),
% 14.49/2.43 inference(paramodulation,[status(thm)],[f8101,f603])).
% 14.49/2.43 fof(f10991,plain,(
% 14.49/2.43 ![X0]: (~leq(star(X0),star(X0))|leq(multiplication(star(X0),star(X0)),star(X0)))),
% 14.49/2.43 inference(forward_demodulation,[status(thm)],[f25,f10932])).
% 14.49/2.43 fof(f10992,plain,(
% 14.49/2.43 ![X0]: (leq(multiplication(star(X0),star(X0)),star(X0)))),
% 14.49/2.43 inference(forward_subsumption_resolution,[status(thm)],[f10991,f59])).
% 14.49/2.43 fof(f11220,plain,(
% 14.49/2.43 ![X0]: (multiplication(star(X0),star(star(X0)))=star(star(X0)))),
% 14.49/2.43 inference(paramodulation,[status(thm)],[f8083,f8437])).
% 14.49/2.43 fof(f12369,plain,(
% 14.49/2.43 ![X0]: (leq(multiplication(star(X0),multiplication(star(X0),star(star(X0)))),star(X0)))),
% 14.49/2.43 inference(resolution,[status(thm)],[f10992,f866])).
% 14.49/2.43 fof(f12378,plain,(
% 14.49/2.43 ![X0]: (leq(multiplication(star(X0),star(star(X0))),star(X0)))),
% 14.49/2.43 inference(forward_demodulation,[status(thm)],[f11220,f12369])).
% 14.49/2.43 fof(f12379,plain,(
% 14.49/2.43 ![X0]: (leq(star(star(X0)),star(X0)))),
% 14.49/2.43 inference(forward_demodulation,[status(thm)],[f11220,f12378])).
% 14.49/2.43 fof(f12406,plain,(
% 14.49/2.43 ![X0]: (addition(star(star(X0)),star(X0))=star(X0))),
% 14.49/2.45 inference(resolution,[status(thm)],[f12379,f32])).
% 14.49/2.45 fof(f12411,plain,(
% 14.49/2.45 ![X0]: (addition(star(X0),star(star(X0)))=star(X0))),
% 14.49/2.45 inference(forward_demodulation,[status(thm)],[f19,f12406])).
% 14.49/2.45 fof(f12414,plain,(
% 14.49/2.45 ~star(sK0_skl)=star(sK0_skl)),
% 14.49/2.45 inference(backward_demodulation,[status(thm)],[f12482,f42])).
% 14.49/2.45 fof(f12482,plain,(
% 14.49/2.45 ![X0]: (star(star(X0))=star(X0))),
% 14.49/2.45 inference(forward_demodulation,[status(thm)],[f8805,f12411])).
% 14.49/2.45 fof(f12494,plain,(
% 14.49/2.45 $false),
% 14.49/2.45 inference(trivial_equality_resolution,[status(thm)],[f12414])).
% 14.49/2.45 % SZS output end CNFRefutation for theBenchmark.p
% 12.34/2.49 % Elapsed time: 2.010257 seconds
% 12.34/2.49 % CPU time: 15.504303 seconds
% 12.34/2.49 % Total memory used: 144.898 MB
% 12.34/2.49 % Net memory used: 141.229 MB
%------------------------------------------------------------------------------