%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE042+2 : 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 : n018.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 45.55s 11.28s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE042+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.44 % Computer : n018.cluster.edu
% 0.18/5.44 % Model : x86_64 x86_64
% 0.18/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.44 % Memory : 8046.5625MB
% 0.18/5.44 % OS : Linux 6.8.0-71-generic
% 0.18/5.44 % CPULimit : 300
% 0.18/5.44 % WCLimit : 300
% 0.18/5.44 % DateTime : Sun Sep 20 22:42:33 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.18/5.46 % Drodi V4.1.1
% 45.55/11.28 % Refutation found
% 45.55/11.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 45.55/11.28 % SZS output start CNFRefutation for theBenchmark
% 45.55/11.28 fof(f1,axiom,(
% 45.55/11.28 (! [A,B] : addition(A,B) = addition(B,A) )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f2,axiom,(
% 45.55/11.28 (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f3,axiom,(
% 45.55/11.28 (! [A] : addition(A,zero) = A )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f4,axiom,(
% 45.55/11.28 (! [A] : addition(A,A) = A )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f5,axiom,(
% 45.55/11.28 (! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f6,axiom,(
% 45.55/11.28 (! [A] : multiplication(A,one) = A )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f7,axiom,(
% 45.55/11.28 (! [A] : multiplication(one,A) = A )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f8,axiom,(
% 45.55/11.28 (! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f9,axiom,(
% 45.55/11.28 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f10,axiom,(
% 45.55/11.28 (! [A] : multiplication(A,zero) = zero )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f11,axiom,(
% 45.55/11.28 (! [A] : multiplication(zero,A) = zero )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f12,axiom,(
% 45.55/11.28 (! [A,B] :( leq(A,B)<=> addition(A,B) = B ) )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f13,axiom,(
% 45.55/11.28 (! [A] : leq(addition(one,multiplication(A,star(A))),star(A)) )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f14,axiom,(
% 45.55/11.28 (! [A] : leq(addition(one,multiplication(star(A),A)),star(A)) )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f15,axiom,(
% 45.55/11.28 (! [A,B,C] :( leq(addition(multiplication(A,B),C),B)=> leq(multiplication(star(A),C),B) ) )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f16,axiom,(
% 45.55/11.28 (! [A,B,C] :( leq(addition(multiplication(A,B),C),A)=> leq(multiplication(C,star(B)),A) ) )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f17,conjecture,(
% 45.55/11.28 (! [X0,X1] :( leq(multiplication(star(multiplication(X0,X1)),X0),multiplication(X0,star(multiplication(X1,X0))))& leq(multiplication(X0,star(multiplication(X1,X0))),multiplication(star(multiplication(X0,X1)),X0)) ) )),
% 45.55/11.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.55/11.28 fof(f18,negated_conjecture,(
% 45.55/11.28 ~((! [X0,X1] :( leq(multiplication(star(multiplication(X0,X1)),X0),multiplication(X0,star(multiplication(X1,X0))))& leq(multiplication(X0,star(multiplication(X1,X0))),multiplication(star(multiplication(X0,X1)),X0)) ) ))),
% 45.55/11.28 inference(negated_conjecture,[status(cth)],[f17])).
% 45.55/11.28 fof(f19,plain,(
% 45.55/11.28 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 45.55/11.28 inference(cnf_transformation,[status(thm)],[f1])).
% 45.55/11.28 fof(f20,plain,(
% 45.55/11.28 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 45.55/11.28 inference(cnf_transformation,[status(thm)],[f2])).
% 45.55/11.28 fof(f21,plain,(
% 45.55/11.28 ![X0]: (addition(X0,zero)=X0)),
% 45.55/11.28 inference(cnf_transformation,[status(thm)],[f3])).
% 45.55/11.28 fof(f22,plain,(
% 45.55/11.28 ![X0]: (addition(X0,X0)=X0)),
% 45.55/11.28 inference(cnf_transformation,[status(thm)],[f4])).
% 45.55/11.28 fof(f23,plain,(
% 45.55/11.28 ![X0,X1,X2]: (multiplication(X0,multiplication(X1,X2))=multiplication(multiplication(X0,X1),X2))),
% 45.55/11.28 inference(cnf_transformation,[status(thm)],[f5])).
% 45.55/11.28 fof(f24,plain,(
% 45.55/11.28 ![X0]: (multiplication(X0,one)=X0)),
% 45.55/11.28 inference(cnf_transformation,[status(thm)],[f6])).
% 45.55/11.28 fof(f25,plain,(
% 45.55/11.28 ![X0]: (multiplication(one,X0)=X0)),
% 45.55/11.28 inference(cnf_transformation,[status(thm)],[f7])).
% 45.55/11.28 fof(f26,plain,(
% 45.55/11.28 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X1),multiplication(X0,X2)))),
% 45.55/11.28 inference(cnf_transformation,[status(thm)],[f8])).
% 45.55/11.28 fof(f27,plain,(
% 45.55/11.28 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 45.55/11.29 inference(cnf_transformation,[status(thm)],[f9])).
% 45.55/11.29 fof(f28,plain,(
% 45.55/11.29 ![X0]: (multiplication(X0,zero)=zero)),
% 45.55/11.29 inference(cnf_transformation,[status(thm)],[f10])).
% 45.55/11.29 fof(f29,plain,(
% 45.55/11.29 ![X0]: (multiplication(zero,X0)=zero)),
% 45.55/11.29 inference(cnf_transformation,[status(thm)],[f11])).
% 45.55/11.29 fof(f30,plain,(
% 45.55/11.29 ![A,B]: ((~leq(A,B)|addition(A,B)=B)&(leq(A,B)|~addition(A,B)=B))),
% 45.55/11.29 inference(NNF_transformation,[status(thm)],[f12])).
% 45.55/11.29 fof(f31,plain,(
% 45.55/11.29 (![A,B]: (~leq(A,B)|addition(A,B)=B))&(![A,B]: (leq(A,B)|~addition(A,B)=B))),
% 45.55/11.29 inference(miniscoping,[status(thm)],[f30])).
% 45.55/11.29 fof(f32,plain,(
% 45.55/11.29 ![X0,X1]: (~leq(X0,X1)|addition(X0,X1)=X1)),
% 45.55/11.29 inference(cnf_transformation,[status(thm)],[f31])).
% 45.55/11.29 fof(f33,plain,(
% 45.55/11.29 ![X0,X1]: (leq(X0,X1)|~addition(X0,X1)=X1)),
% 45.55/11.29 inference(cnf_transformation,[status(thm)],[f31])).
% 45.55/11.29 fof(f34,plain,(
% 45.55/11.29 ![X0]: (leq(addition(one,multiplication(X0,star(X0))),star(X0)))),
% 45.55/11.29 inference(cnf_transformation,[status(thm)],[f13])).
% 45.55/11.29 fof(f35,plain,(
% 45.55/11.29 ![X0]: (leq(addition(one,multiplication(star(X0),X0)),star(X0)))),
% 45.55/11.29 inference(cnf_transformation,[status(thm)],[f14])).
% 45.55/11.29 fof(f36,plain,(
% 45.55/11.29 ![A,B,C]: (~leq(addition(multiplication(A,B),C),B)|leq(multiplication(star(A),C),B))),
% 45.55/11.29 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 45.55/11.29 fof(f37,plain,(
% 45.55/11.29 ![X0,X1,X2]: (~leq(addition(multiplication(X0,X1),X2),X1)|leq(multiplication(star(X0),X2),X1))),
% 45.55/11.29 inference(cnf_transformation,[status(thm)],[f36])).
% 45.55/11.29 fof(f38,plain,(
% 45.55/11.29 ![A,B,C]: (~leq(addition(multiplication(A,B),C),A)|leq(multiplication(C,star(B)),A))),
% 45.55/11.29 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 45.55/11.29 fof(f39,plain,(
% 45.55/11.29 ![X0,X1,X2]: (~leq(addition(multiplication(X0,X1),X2),X0)|leq(multiplication(X2,star(X1)),X0))),
% 45.55/11.29 inference(cnf_transformation,[status(thm)],[f38])).
% 45.55/11.29 fof(f40,plain,(
% 45.55/11.29 (?[X0,X1]: (~leq(multiplication(star(multiplication(X0,X1)),X0),multiplication(X0,star(multiplication(X1,X0))))|~leq(multiplication(X0,star(multiplication(X1,X0))),multiplication(star(multiplication(X0,X1)),X0))))),
% 45.55/11.29 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 45.55/11.29 fof(f41,plain,(
% 45.55/11.29 (?[X0,X1]: ~leq(multiplication(star(multiplication(X0,X1)),X0),multiplication(X0,star(multiplication(X1,X0)))))|(?[X0,X1]: ~leq(multiplication(X0,star(multiplication(X1,X0))),multiplication(star(multiplication(X0,X1)),X0)))),
% 45.55/11.29 inference(miniscoping,[status(thm)],[f40])).
% 45.55/11.29 fof(f42,plain,(
% 45.55/11.29 ~leq(multiplication(star(multiplication(sK0_skl,sK1_skl)),sK0_skl),multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl))))|~leq(multiplication(sK2_skl,star(multiplication(sK3_skl,sK2_skl))),multiplication(star(multiplication(sK2_skl,sK3_skl)),sK2_skl))),
% 45.55/11.29 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl),skolemize(X0,sK2_skl),skolemize(X1,sK3_skl)],[f41])).
% 45.55/11.29 fof(f43,plain,(
% 45.55/11.29 ~leq(multiplication(star(multiplication(sK0_skl,sK1_skl)),sK0_skl),multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl))))|~leq(multiplication(sK2_skl,star(multiplication(sK3_skl,sK2_skl))),multiplication(star(multiplication(sK2_skl,sK3_skl)),sK2_skl))),
% 45.55/11.29 inference(cnf_transformation,[status(thm)],[f42])).
% 45.55/11.29 fof(f47,plain,(
% 45.55/11.29 ![X0,X1,X2,X3]: (~leq(addition(multiplication(X0,multiplication(X1,X2)),X3),X2)|leq(multiplication(star(multiplication(X0,X1)),X3),X2))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f23,f37])).
% 45.55/11.29 fof(f49,plain,(
% 45.55/11.29 ![X0,X1,X2,X3,X4]: (~leq(addition(multiplication(X0,multiplication(X1,multiplication(X2,X3))),X4),X3)|leq(multiplication(star(multiplication(multiplication(X0,X1),X2)),X4),X3))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f23,f47])).
% 45.55/11.29 fof(f51,plain,(
% 45.55/11.29 ![X0,X1,X2,X3,X4]: (~leq(addition(multiplication(X0,multiplication(X1,multiplication(X2,X3))),X4),X3)|leq(multiplication(star(multiplication(X0,multiplication(X1,X2))),X4),X3))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f23,f49])).
% 45.55/11.29 fof(f59,plain,(
% 45.55/11.29 ![X0,X1,X2,X3,X4,X5]: (~leq(addition(multiplication(X0,multiplication(X1,multiplication(X2,multiplication(X3,X4)))),X5),X4)|leq(multiplication(star(multiplication(multiplication(X0,X1),multiplication(X2,X3))),X5),X4))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f23,f51])).
% 45.55/11.29 fof(f62,plain,(
% 45.55/11.29 ![X0,X1,X2,X3,X4,X5]: (~leq(addition(multiplication(X0,multiplication(X1,multiplication(X2,multiplication(X3,X4)))),X5),X4)|leq(multiplication(star(multiplication(X0,multiplication(X1,multiplication(X2,X3)))),X5),X4))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f23,f59])).
% 45.55/11.29 fof(f77,plain,(
% 45.55/11.29 ![X0,X1,X2,X3,X4,X5,X6]: (~leq(addition(multiplication(X0,multiplication(X1,multiplication(X2,multiplication(X3,multiplication(X4,X5))))),X6),X5)|leq(multiplication(star(multiplication(multiplication(X0,X1),multiplication(X2,multiplication(X3,X4)))),X6),X5))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f23,f62])).
% 45.55/11.29 fof(f81,plain,(
% 45.55/11.29 ![X0,X1,X2,X3,X4,X5,X6]: (~leq(addition(multiplication(X0,multiplication(X1,multiplication(X2,multiplication(X3,multiplication(X4,X5))))),X6),X5)|leq(multiplication(star(multiplication(X0,multiplication(X1,multiplication(X2,multiplication(X3,X4))))),X6),X5))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f23,f77])).
% 45.55/11.29 fof(f84,plain,(
% 45.55/11.29 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~leq(addition(multiplication(X0,multiplication(X1,multiplication(X2,multiplication(X3,multiplication(X4,multiplication(X5,X6)))))),X7),X6)|leq(multiplication(star(multiplication(multiplication(X0,X1),multiplication(X2,multiplication(X3,multiplication(X4,X5))))),X7),X6))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f23,f81])).
% 45.55/11.29 fof(f89,plain,(
% 45.55/11.29 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~leq(addition(multiplication(X0,multiplication(X1,multiplication(X2,multiplication(X3,multiplication(X4,multiplication(X5,X6)))))),X7),X6)|leq(multiplication(star(multiplication(X0,multiplication(X1,multiplication(X2,multiplication(X3,multiplication(X4,X5)))))),X7),X6))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f23,f84])).
% 45.55/11.29 fof(f148,plain,(
% 45.55/11.29 ![X0]: (leq(X0,X0))),
% 45.55/11.29 inference(resolution,[status(thm)],[f22,f33])).
% 45.55/11.29 fof(f220,plain,(
% 45.55/11.29 ![X0,X1]: (~leq(addition(X0,X1),X0)|leq(multiplication(X1,star(one)),X0))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f24,f39])).
% 45.55/11.29 fof(f365,plain,(
% 45.55/11.29 ![X0,X1]: (~leq(addition(zero,X0),X1)|leq(multiplication(X0,star(zero)),X1))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f28,f39])).
% 45.55/11.29 fof(f431,plain,(
% 45.55/11.29 ![X0,X1,X2,X3,X4,X5,X6]: (~leq(addition(zero,X0),X1)|leq(multiplication(star(multiplication(zero,multiplication(X2,multiplication(X3,multiplication(X4,multiplication(X5,X6)))))),X0),X1))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f29,f89])).
% 45.55/11.29 fof(f478,plain,(
% 45.55/11.29 ![X0,X1]: (~leq(addition(zero,X0),X1)|leq(multiplication(star(zero),X0),X1))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f29,f431])).
% 45.55/11.29 fof(f694,plain,(
% 45.55/11.29 ![X0]: (X0=addition(zero,X0))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f21,f19])).
% 45.55/11.29 fof(f712,plain,(
% 45.55/11.29 ![X0,X1]: (leq(X0,X1)|~addition(X1,X0)=X1)),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f19,f33])).
% 45.55/11.29 fof(f726,plain,(
% 45.55/11.29 ![X0,X1]: (~leq(X0,X1)|leq(multiplication(star(zero),X0),X1))),
% 45.55/11.29 inference(backward_demodulation,[status(thm)],[f694,f478])).
% 45.55/11.29 fof(f728,plain,(
% 45.55/11.29 ![X0,X1]: (~leq(X0,X1)|leq(multiplication(X0,star(zero)),X1))),
% 45.55/11.29 inference(backward_demodulation,[status(thm)],[f694,f365])).
% 45.55/11.29 fof(f749,plain,(
% 45.55/11.29 ![X0,X1,X2,X3]: (~addition(X0,addition(multiplication(X1,multiplication(X2,X0)),X3))=X0|leq(multiplication(star(multiplication(X1,X2)),X3),X0))),
% 45.55/11.29 inference(resolution,[status(thm)],[f712,f47])).
% 45.55/11.29 fof(f750,plain,(
% 45.55/11.29 ![X0,X1,X2]: (~addition(X0,addition(multiplication(X0,X1),X2))=X0|leq(multiplication(X2,star(X1)),X0))),
% 45.55/11.29 inference(resolution,[status(thm)],[f712,f39])).
% 45.55/11.29 fof(f755,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X2,addition(X0,X1)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f19,f20])).
% 45.55/11.29 fof(f761,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X1,X0),X2))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f19,f20])).
% 45.55/11.29 fof(f763,plain,(
% 45.55/11.29 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X0,X1))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f22,f20])).
% 45.55/11.29 fof(f771,plain,(
% 45.55/11.29 ![X0,X1]: (leq(X0,addition(X0,X1)))),
% 45.55/11.29 inference(resolution,[status(thm)],[f763,f33])).
% 45.55/11.29 fof(f778,plain,(
% 45.55/11.29 ![X0,X1]: (addition(X0,addition(X1,X0))=addition(X0,X1))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f19,f763])).
% 45.55/11.29 fof(f814,plain,(
% 45.55/11.29 ![X0,X1]: (multiplication(X0,addition(one,X1))=addition(X0,multiplication(X0,X1)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f24,f26])).
% 45.55/11.29 fof(f819,plain,(
% 45.55/11.29 ![X0,X1]: (multiplication(X0,addition(X1,one))=addition(multiplication(X0,X1),X0))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f24,f26])).
% 45.55/11.29 fof(f832,plain,(
% 45.55/11.29 ![X0,X1,X2,X3]: (addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3))=addition(multiplication(X0,addition(X1,X2)),X3))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f26,f20])).
% 45.55/11.29 fof(f869,plain,(
% 45.55/11.29 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X1,X2),multiplication(X0,X2)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f19,f27])).
% 45.55/11.29 fof(f878,plain,(
% 45.55/11.29 ![X0,X1]: (multiplication(addition(X0,one),X1)=addition(multiplication(X0,X1),X1))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f25,f27])).
% 45.55/11.29 fof(f879,plain,(
% 45.55/11.29 ![X0,X1,X2,X3]: (multiplication(addition(X0,multiplication(X1,X2)),X3)=addition(multiplication(X0,X3),multiplication(X1,multiplication(X2,X3))))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f23,f27])).
% 45.55/11.29 fof(f927,plain,(
% 45.55/11.29 ![X0]: (addition(addition(one,multiplication(X0,star(X0))),star(X0))=star(X0))),
% 45.55/11.29 inference(resolution,[status(thm)],[f34,f32])).
% 45.55/11.29 fof(f928,plain,(
% 45.55/11.29 leq(addition(one,zero),star(zero))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f29,f34])).
% 45.55/11.29 fof(f929,plain,(
% 45.55/11.29 leq(addition(one,star(one)),star(one))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f25,f34])).
% 45.55/11.29 fof(f931,plain,(
% 45.55/11.29 ![X0]: (addition(one,addition(multiplication(X0,star(X0)),star(X0)))=star(X0))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f20,f927])).
% 45.55/11.29 fof(f932,plain,(
% 45.55/11.29 leq(one,star(zero))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f21,f928])).
% 45.55/11.29 fof(f941,plain,(
% 45.55/11.29 ![X0,X1]: (leq(X0,addition(X1,X0)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f19,f771])).
% 45.55/11.29 fof(f944,plain,(
% 45.55/11.29 ![X0,X1]: (addition(X0,addition(X1,X0))=addition(X1,X0))),
% 45.55/11.29 inference(resolution,[status(thm)],[f941,f32])).
% 45.55/11.29 fof(f971,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,addition(X2,X0)))=addition(addition(X1,X2),X0))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f20,f944])).
% 45.55/11.29 fof(f976,plain,(
% 45.55/11.29 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X1,X0))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f19,f944])).
% 45.55/11.29 fof(f979,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,addition(X2,addition(X0,X1))))=addition(X2,addition(X0,X1)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f944,f20])).
% 45.55/11.29 fof(f1003,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,addition(X2,X0)))=addition(X1,addition(X2,X0)))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f20,f971])).
% 45.55/11.29 fof(f1011,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,addition(X0,X2)))=addition(X1,addition(X0,X2)))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f1003,f979])).
% 45.55/11.29 fof(f1016,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,addition(addition(X0,X1),X2)))=addition(X2,addition(X0,X1)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f20,f976])).
% 45.55/11.29 fof(f1050,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(addition(X0,X1),X2))=addition(addition(X1,X0),X2))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f976,f20])).
% 45.55/11.29 fof(f1053,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,addition(X0,addition(X1,X2))))=addition(X2,addition(X0,X1)))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f20,f1016])).
% 45.55/11.29 fof(f1054,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,addition(X0,X2)))=addition(X2,addition(X1,X0)))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f1011,f1053])).
% 45.55/11.29 fof(f1080,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X0,addition(X1,X2)))=addition(addition(X1,X0),X2))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f20,f1050])).
% 45.55/11.29 fof(f1081,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(addition(X0,X1),X2)=addition(addition(X0,X2),X1))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f976,f1080])).
% 45.55/11.29 fof(f1082,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X2),X1))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f20,f1081])).
% 45.55/11.29 fof(f1084,plain,(
% 45.55/11.29 ![X0,X1]: (~leq(X0,X1)|addition(multiplication(star(zero),X0),X1)=X1)),
% 45.55/11.29 inference(resolution,[status(thm)],[f726,f32])).
% 45.55/11.29 fof(f1088,plain,(
% 45.55/11.29 ![X0,X1]: (~leq(X0,X1)|addition(multiplication(X0,star(zero)),X1)=X1)),
% 45.55/11.29 inference(resolution,[status(thm)],[f728,f32])).
% 45.55/11.29 fof(f1093,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X0,addition(X2,X1)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f20,f1082])).
% 45.55/11.29 fof(f1098,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X1,addition(X0,X2)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f19,f1082])).
% 45.55/11.29 fof(f1108,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,addition(X0,X2)))=addition(addition(X0,X2),X1))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f763,f1082])).
% 45.55/11.29 fof(f1154,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X2,X0),X1))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f1054,f1108])).
% 45.55/11.29 fof(f1194,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(addition(X0,X1),X2)=addition(X2,addition(X1,X0)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f19,f1093])).
% 45.55/11.29 fof(f1510,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X2,addition(X1,X0)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f1082,f1154])).
% 45.55/11.29 fof(f1694,plain,(
% 45.55/11.29 ![X0]: (~leq(addition(X0,one),X0)|leq(star(one),X0))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f25,f220])).
% 45.55/11.29 fof(f1699,plain,(
% 45.55/11.29 addition(one,star(zero))=star(zero)),
% 45.55/11.29 inference(resolution,[status(thm)],[f932,f32])).
% 45.55/11.29 fof(f1894,plain,(
% 45.55/11.29 ![X0]: (addition(X0,star(zero))=addition(star(zero),addition(X0,one)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f1699,f755])).
% 45.55/11.29 fof(f3003,plain,(
% 45.55/11.29 ![X0]: (addition(addition(one,multiplication(star(X0),X0)),star(X0))=star(X0))),
% 45.55/11.29 inference(resolution,[status(thm)],[f35,f32])).
% 45.55/11.29 fof(f3006,plain,(
% 45.55/11.29 ![X0]: (addition(multiplication(star(X0),X0),addition(one,star(X0)))=star(X0))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f761,f3003])).
% 45.55/11.29 fof(f3011,plain,(
% 45.55/11.29 ![X0]: (multiplication(X0,star(zero))=addition(X0,multiplication(X0,star(zero))))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f1699,f814])).
% 45.55/11.29 fof(f3025,plain,(
% 45.55/11.29 ![X0,X1]: (multiplication(X0,addition(X1,one))=addition(X0,multiplication(X0,X1)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f19,f814])).
% 45.55/11.29 fof(f3093,plain,(
% 45.55/11.29 ![X0,X1]: (leq(X0,multiplication(X0,addition(one,X1))))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f814,f771])).
% 45.55/11.29 fof(f3220,plain,(
% 45.55/11.29 ![X0,X1]: (leq(X0,multiplication(X0,addition(X1,one))))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f976,f3093])).
% 45.55/11.29 fof(f3268,plain,(
% 45.55/11.29 ![X0,X1]: (addition(multiplication(star(zero),multiplication(X0,star(one))),X1)=X1|~leq(addition(X1,X0),X1))),
% 45.55/11.29 inference(resolution,[status(thm)],[f1084,f220])).
% 45.55/11.29 fof(f3271,plain,(
% 45.55/11.29 addition(multiplication(star(zero),addition(one,star(one))),star(one))=star(one)),
% 45.55/11.29 inference(resolution,[status(thm)],[f1084,f929])).
% 45.55/11.29 fof(f3293,plain,(
% 45.55/11.29 ![X0,X1]: (addition(multiplication(X0,star(zero)),multiplication(X0,addition(X1,one)))=multiplication(X0,addition(X1,one)))),
% 45.55/11.29 inference(resolution,[status(thm)],[f1088,f3220])).
% 45.55/11.29 fof(f3309,plain,(
% 45.55/11.29 ![X0,X1]: (multiplication(X0,addition(star(zero),addition(X1,one)))=multiplication(X0,addition(X1,one)))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f26,f3293])).
% 45.55/11.29 fof(f3310,plain,(
% 45.55/11.29 ![X0,X1]: (multiplication(X0,addition(X1,star(zero)))=multiplication(X0,addition(X1,one)))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f1894,f3309])).
% 45.55/11.29 fof(f3318,plain,(
% 45.55/11.29 ![X0]: (~leq(addition(one,X0),X0)|leq(star(one),X0))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f19,f1694])).
% 45.55/11.29 fof(f3325,plain,(
% 45.55/11.29 ~leq(star(zero),star(zero))|leq(star(one),star(zero))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f1699,f3318])).
% 45.55/11.29 fof(f3343,plain,(
% 45.55/11.29 leq(star(one),star(zero))),
% 45.55/11.29 inference(forward_subsumption_resolution,[status(thm)],[f3325,f148])).
% 45.55/11.29 fof(f3375,plain,(
% 45.55/11.29 addition(star(one),star(zero))=star(zero)),
% 45.55/11.29 inference(resolution,[status(thm)],[f3343,f32])).
% 45.55/11.29 fof(f3383,plain,(
% 45.55/11.29 ![X0]: (multiplication(X0,star(zero))=multiplication(X0,addition(one,star(zero))))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f814,f3011])).
% 45.55/11.29 fof(f3454,plain,(
% 45.55/11.29 ![X0]: (multiplication(X0,star(zero))=multiplication(X0,addition(one,one)))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f3310,f3383])).
% 45.55/11.29 fof(f3455,plain,(
% 45.55/11.29 ![X0]: (multiplication(X0,star(zero))=multiplication(X0,one))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f22,f3454])).
% 45.55/11.29 fof(f3474,plain,(
% 45.55/11.29 ![X0]: (multiplication(X0,star(zero))=X0)),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f24,f3455])).
% 45.55/11.29 fof(f3664,plain,(
% 45.55/11.29 star(zero)=one),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f25,f3474])).
% 45.55/11.29 fof(f3711,plain,(
% 45.55/11.29 addition(star(one),star(zero))=one),
% 45.55/11.29 inference(backward_demodulation,[status(thm)],[f3664,f3375])).
% 45.55/11.29 fof(f3723,plain,(
% 45.55/11.29 addition(multiplication(one,addition(one,star(one))),star(one))=star(one)),
% 45.55/11.29 inference(backward_demodulation,[status(thm)],[f3664,f3271])).
% 45.55/11.29 fof(f3725,plain,(
% 45.55/11.29 ![X0,X1]: (addition(multiplication(one,multiplication(X0,star(one))),X1)=X1|~leq(addition(X1,X0),X1))),
% 45.55/11.29 inference(backward_demodulation,[status(thm)],[f3664,f3268])).
% 45.55/11.29 fof(f3800,plain,(
% 45.55/11.29 addition(star(one),one)=one),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f3664,f3711])).
% 45.55/11.29 fof(f3814,plain,(
% 45.55/11.29 addition(addition(one,star(one)),star(one))=star(one)),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f25,f3723])).
% 45.55/11.29 fof(f3815,plain,(
% 45.55/11.29 addition(star(one),addition(one,star(one)))=star(one)),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f761,f3814])).
% 45.55/11.29 fof(f3816,plain,(
% 45.55/11.29 addition(star(one),one)=star(one)),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f778,f3815])).
% 45.55/11.29 fof(f3842,plain,(
% 45.55/11.29 one=star(one)),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f3800,f3816])).
% 45.55/11.29 fof(f3844,plain,(
% 45.55/11.29 ![X0,X1]: (addition(multiplication(X0,star(one)),X1)=X1|~leq(addition(X1,X0),X1))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f25,f3725])).
% 45.55/11.29 fof(f3845,plain,(
% 45.55/11.29 ![X0,X1]: (addition(multiplication(X0,one),X1)=X1|~leq(addition(X1,X0),X1))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f3842,f3844])).
% 45.55/11.29 fof(f3846,plain,(
% 45.55/11.29 ![X0,X1]: (addition(X0,X1)=X1|~leq(addition(X1,X0),X1))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f24,f3845])).
% 45.55/11.29 fof(f4010,plain,(
% 45.55/11.29 ![X0,X1]: (addition(addition(X0,X1),X1)=X1|~leq(addition(X1,X0),X1))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f778,f3846])).
% 45.55/11.29 fof(f4016,plain,(
% 45.55/11.29 ![X0,X1]: (addition(addition(X0,X1),X1)=X1|~leq(addition(X0,X1),X1))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f944,f3846])).
% 45.55/11.29 fof(f4031,plain,(
% 45.55/11.29 ![X0,X1]: (addition(X0,addition(X1,X0))=X0|~leq(addition(X0,X1),X0))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f761,f4010])).
% 45.55/11.29 fof(f4032,plain,(
% 45.55/11.29 ![X0,X1]: (addition(X0,X1)=X0|~leq(addition(X0,X1),X0))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f778,f4031])).
% 45.55/11.29 fof(f4039,plain,(
% 45.55/11.29 ![X0,X1]: (addition(X0,addition(X1,X0))=X0|~leq(addition(X1,X0),X0))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f761,f4016])).
% 45.55/11.29 fof(f4040,plain,(
% 45.55/11.29 ![X0,X1]: (addition(X0,X1)=X0|~leq(addition(X1,X0),X0))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f778,f4039])).
% 45.55/11.29 fof(f4093,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=X0|~leq(addition(X2,addition(X1,X0)),X0))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f1510,f4032])).
% 45.55/11.29 fof(f4311,plain,(
% 45.55/11.29 ![X0,X1]: (multiplication(X0,addition(one,X1))=addition(multiplication(X0,X1),X0))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f19,f819])).
% 45.55/11.29 fof(f4636,plain,(
% 45.55/11.29 ![X0,X1]: (multiplication(addition(one,X0),X1)=addition(multiplication(X0,X1),X1))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f19,f878])).
% 45.55/11.29 fof(f4866,plain,(
% 45.55/11.29 ![X0,X1,X2]: (multiplication(X0,multiplication(addition(X1,one),X2))=multiplication(addition(X0,multiplication(X0,X1)),X2))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f3025,f23])).
% 45.55/11.29 fof(f8650,plain,(
% 45.55/11.29 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=multiplication(addition(X1,X0),X2))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f27,f869])).
% 45.55/11.29 fof(f11479,plain,(
% 45.55/11.29 ![X0,X1]: (addition(one,addition(multiplication(X0,multiplication(X1,star(multiplication(X0,X1)))),star(multiplication(X0,X1))))=star(multiplication(X0,X1)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f23,f931])).
% 45.55/11.29 fof(f11496,plain,(
% 45.55/11.29 ![X0]: (addition(star(X0),addition(multiplication(X0,star(X0)),one))=star(X0)|~leq(star(X0),star(X0)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f931,f4093])).
% 45.55/11.29 fof(f11526,plain,(
% 45.55/11.29 ![X0]: (addition(addition(multiplication(X0,star(X0)),star(X0)),one)=addition(multiplication(X0,star(X0)),star(X0))|~leq(star(X0),addition(multiplication(X0,star(X0)),star(X0))))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f931,f4040])).
% 45.55/11.29 fof(f11541,plain,(
% 45.55/11.29 ![X0,X1]: (addition(one,addition(X0,addition(multiplication(X1,star(X1)),star(X1))))=addition(X0,star(X1)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f931,f1098])).
% 45.55/11.29 fof(f11544,plain,(
% 45.55/11.29 ![X0]: (addition(one,star(X0))=addition(addition(multiplication(X0,star(X0)),star(X0)),one))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f931,f976])).
% 45.55/11.29 fof(f11582,plain,(
% 45.55/11.29 ![X0]: (addition(star(X0),addition(multiplication(X0,star(X0)),one))=star(X0))),
% 45.55/11.29 inference(forward_subsumption_resolution,[status(thm)],[f11496,f148])).
% 45.55/11.29 fof(f11600,plain,(
% 45.55/11.29 ![X0]: (addition(star(X0),addition(multiplication(X0,star(X0)),one))=addition(multiplication(X0,star(X0)),star(X0))|~leq(star(X0),addition(multiplication(X0,star(X0)),star(X0))))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f761,f11526])).
% 45.55/11.29 fof(f11601,plain,(
% 45.55/11.29 ![X0]: (star(X0)=addition(multiplication(X0,star(X0)),star(X0))|~leq(star(X0),addition(multiplication(X0,star(X0)),star(X0))))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f11582,f11600])).
% 45.55/11.29 fof(f11615,plain,(
% 45.55/11.29 ![X0]: (star(X0)=addition(multiplication(X0,star(X0)),star(X0)))),
% 45.55/11.29 inference(forward_subsumption_resolution,[status(thm)],[f11601,f941])).
% 45.55/11.29 fof(f11644,plain,(
% 45.55/11.29 ![X0,X1]: (addition(multiplication(X0,multiplication(X1,star(multiplication(X0,X1)))),star(multiplication(X0,X1)))=star(multiplication(X0,X1)))),
% 45.55/11.29 inference(backward_demodulation,[status(thm)],[f11645,f11479])).
% 45.55/11.29 fof(f11645,plain,(
% 45.55/11.29 ![X0,X1]: (addition(one,addition(X0,star(X1)))=addition(X0,star(X1)))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f11615,f11541])).
% 45.55/11.29 fof(f11648,plain,(
% 45.55/11.29 ![X0]: (addition(one,star(X0))=addition(star(X0),addition(multiplication(X0,star(X0)),one)))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f761,f11544])).
% 45.55/11.29 fof(f11654,plain,(
% 45.55/11.29 ![X0]: (addition(multiplication(star(X0),X0),star(X0))=star(X0))),
% 45.55/11.29 inference(backward_demodulation,[status(thm)],[f11655,f3006])).
% 45.55/11.29 fof(f11655,plain,(
% 45.55/11.29 ![X0]: (addition(one,star(X0))=star(X0))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f11582,f11648])).
% 45.55/11.29 fof(f11685,plain,(
% 45.55/11.29 ![X0,X1]: (multiplication(star(X0),X1)=addition(multiplication(star(X0),X1),X1))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f11655,f4636])).
% 45.55/11.29 fof(f11716,plain,(
% 45.55/11.29 ![X0,X1]: (addition(addition(star(X0),one),X1)=addition(X1,star(X0)))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f11655,f1194])).
% 45.55/11.29 fof(f11760,plain,(
% 45.55/11.29 ![X0,X1]: (addition(one,addition(star(X0),X1))=addition(X1,star(X0)))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f761,f11716])).
% 45.55/11.29 fof(f12430,plain,(
% 45.55/11.29 ![X0,X1]: (multiplication(addition(star(X0),multiplication(star(X0),X0)),X1)=multiplication(star(X0),X1))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f11654,f8650])).
% 45.55/11.29 fof(f12478,plain,(
% 45.55/11.29 ![X0,X1]: (multiplication(star(X0),multiplication(addition(X0,one),X1))=multiplication(star(X0),X1))),
% 45.55/11.29 inference(forward_demodulation,[status(thm)],[f4866,f12430])).
% 45.55/11.29 fof(f14852,plain,(
% 45.55/11.29 ![X0,X1,X2]: (addition(multiplication(star(X0),X1),addition(X2,X1))=addition(multiplication(star(X0),X1),X2))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f11685,f1082])).
% 45.55/11.29 fof(f18822,plain,(
% 45.55/11.29 ![X0,X1,X2]: (multiplication(X0,addition(X1,star(X2)))=addition(multiplication(X0,addition(star(X2),X1)),X0))),
% 45.55/11.29 inference(paramodulation,[status(thm)],[f11760,f4311])).
% 45.55/11.29 fof(f19941,plain,(
% 45.55/11.29 ~addition(multiplication(star(multiplication(sK2_skl,sK3_skl)),sK2_skl),addition(multiplication(multiplication(star(multiplication(sK2_skl,sK3_skl)),sK2_skl),multiplication(sK3_skl,sK2_skl)),sK2_skl))=multiplication(star(multiplication(sK2_skl,sK3_skl)),sK2_skl)|~leq(multiplication(star(multiplication(sK0_skl,sK1_skl)),sK0_skl),multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl))))),
% 45.55/11.29 inference(resolution,[status(thm)],[f750,f43])).
% 40.62/11.34 fof(f19960,plain,(
% 40.62/11.34 ~addition(multiplication(star(multiplication(sK2_skl,sK3_skl)),sK2_skl),multiplication(multiplication(star(multiplication(sK2_skl,sK3_skl)),sK2_skl),multiplication(sK3_skl,sK2_skl)))=multiplication(star(multiplication(sK2_skl,sK3_skl)),sK2_skl)|~leq(multiplication(star(multiplication(sK0_skl,sK1_skl)),sK0_skl),multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl))))),
% 40.62/11.34 inference(forward_demodulation,[status(thm)],[f14852,f19941])).
% 40.62/11.34 fof(f19961,plain,(
% 40.62/11.34 ~multiplication(addition(star(multiplication(sK2_skl,sK3_skl)),multiplication(multiplication(star(multiplication(sK2_skl,sK3_skl)),sK2_skl),sK3_skl)),sK2_skl)=multiplication(star(multiplication(sK2_skl,sK3_skl)),sK2_skl)|~leq(multiplication(star(multiplication(sK0_skl,sK1_skl)),sK0_skl),multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl))))),
% 40.62/11.34 inference(forward_demodulation,[status(thm)],[f879,f19960])).
% 40.62/11.34 fof(f19962,plain,(
% 40.62/11.34 ~multiplication(addition(star(multiplication(sK2_skl,sK3_skl)),multiplication(star(multiplication(sK2_skl,sK3_skl)),multiplication(sK2_skl,sK3_skl))),sK2_skl)=multiplication(star(multiplication(sK2_skl,sK3_skl)),sK2_skl)|~leq(multiplication(star(multiplication(sK0_skl,sK1_skl)),sK0_skl),multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl))))),
% 40.62/11.34 inference(forward_demodulation,[status(thm)],[f23,f19961])).
% 40.62/11.34 fof(f19963,plain,(
% 40.62/11.34 ~multiplication(star(multiplication(sK2_skl,sK3_skl)),multiplication(addition(multiplication(sK2_skl,sK3_skl),one),sK2_skl))=multiplication(star(multiplication(sK2_skl,sK3_skl)),sK2_skl)|~leq(multiplication(star(multiplication(sK0_skl,sK1_skl)),sK0_skl),multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl))))),
% 40.62/11.34 inference(forward_demodulation,[status(thm)],[f4866,f19962])).
% 40.62/11.34 fof(f19964,plain,(
% 40.62/11.34 ~multiplication(star(multiplication(sK2_skl,sK3_skl)),sK2_skl)=multiplication(star(multiplication(sK2_skl,sK3_skl)),sK2_skl)|~leq(multiplication(star(multiplication(sK0_skl,sK1_skl)),sK0_skl),multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl))))),
% 40.62/11.34 inference(forward_demodulation,[status(thm)],[f12478,f19963])).
% 40.62/11.34 fof(f19965,plain,(
% 40.62/11.34 ~leq(multiplication(star(multiplication(sK0_skl,sK1_skl)),sK0_skl),multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl))))),
% 40.62/11.34 inference(trivial_equality_resolution,[status(thm)],[f19964])).
% 40.62/11.34 fof(f20001,plain,(
% 40.62/11.34 ~addition(multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl))),addition(multiplication(sK0_skl,multiplication(sK1_skl,multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl))))),sK0_skl))=multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl)))),
% 40.62/11.34 inference(resolution,[status(thm)],[f19965,f749])).
% 40.62/11.34 fof(f20003,plain,(
% 40.62/11.34 ~addition(multiplication(sK0_skl,addition(star(multiplication(sK1_skl,sK0_skl)),multiplication(sK1_skl,multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl)))))),sK0_skl)=multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl)))),
% 40.62/11.34 inference(forward_demodulation,[status(thm)],[f832,f20001])).
% 40.62/11.34 fof(f20004,plain,(
% 40.62/11.34 ~multiplication(sK0_skl,addition(multiplication(sK1_skl,multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl)))),star(multiplication(sK1_skl,sK0_skl))))=multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl)))),
% 40.62/11.34 inference(forward_demodulation,[status(thm)],[f18822,f20003])).
% 40.62/11.34 fof(f20005,plain,(
% 40.62/11.34 ~multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl)))=multiplication(sK0_skl,star(multiplication(sK1_skl,sK0_skl)))),
% 40.62/11.34 inference(forward_demodulation,[status(thm)],[f11644,f20004])).
% 40.62/11.34 fof(f20006,plain,(
% 40.62/11.34 $false),
% 40.62/11.34 inference(trivial_equality_resolution,[status(thm)],[f20005])).
% 40.62/11.34 % SZS output end CNFRefutation for theBenchmark.p
% 40.62/11.36 % Elapsed time: 5.892659 seconds
% 40.62/11.36 % CPU time: 46.511235 seconds
% 40.62/11.36 % Total memory used: 327.873 MB
% 40.62/11.36 % Net memory used: 318.682 MB
%------------------------------------------------------------------------------