%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE043+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 : n015.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 0.19s 0.95s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE043+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
% 0.13/0.40 % Computer : n015.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 20 22:43:50 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.19/0.43 % Drodi V4.1.1
% 0.19/0.95 % Refutation found
% 0.19/0.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.95 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.95 fof(f1,axiom,(
% 0.19/0.95 (! [A,B] : addition(A,B) = addition(B,A) )),
% 0.19/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.95 fof(f2,axiom,(
% 0.19/0.95 (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 0.19/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.95 fof(f4,axiom,(
% 0.19/0.95 (! [A] : addition(A,A) = A )),
% 0.19/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.95 fof(f5,axiom,(
% 0.19/0.95 (! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) )),
% 0.19/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.95 fof(f7,axiom,(
% 0.19/0.95 (! [A] : multiplication(one,A) = A )),
% 0.19/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.95 fof(f8,axiom,(
% 0.19/0.95 (! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )),
% 0.19/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.95 fof(f9,axiom,(
% 0.19/0.95 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 0.19/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.95 fof(f12,axiom,(
% 0.19/0.95 (! [A,B] :( leq(A,B)<=> addition(A,B) = B ) )),
% 0.19/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.95 fof(f13,axiom,(
% 0.19/0.95 (! [A] : leq(addition(one,multiplication(A,star(A))),star(A)) )),
% 0.19/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.95 fof(f15,axiom,(
% 0.19/0.95 (! [A,B,C] :( leq(addition(multiplication(A,B),C),B)=> leq(multiplication(star(A),C),B) ) )),
% 0.19/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.95 fof(f17,conjecture,(
% 0.19/0.95 (! [X0,X1] :( leq(multiplication(star(X0),X1),addition(X1,multiplication(multiplication(X0,star(X0)),X1)))& leq(addition(X1,multiplication(multiplication(X0,star(X0)),X1)),multiplication(star(X0),X1)) ) )),
% 0.19/0.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.95 fof(f18,negated_conjecture,(
% 0.19/0.95 ~((! [X0,X1] :( leq(multiplication(star(X0),X1),addition(X1,multiplication(multiplication(X0,star(X0)),X1)))& leq(addition(X1,multiplication(multiplication(X0,star(X0)),X1)),multiplication(star(X0),X1)) ) ))),
% 0.19/0.95 inference(negated_conjecture,[status(cth)],[f17])).
% 0.19/0.95 fof(f19,plain,(
% 0.19/0.95 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 0.19/0.95 inference(cnf_transformation,[status(thm)],[f1])).
% 0.19/0.95 fof(f20,plain,(
% 0.19/0.95 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 0.19/0.95 inference(cnf_transformation,[status(thm)],[f2])).
% 0.19/0.95 fof(f22,plain,(
% 0.19/0.95 ![X0]: (addition(X0,X0)=X0)),
% 0.19/0.95 inference(cnf_transformation,[status(thm)],[f4])).
% 0.19/0.95 fof(f23,plain,(
% 0.19/0.95 ![X0,X1,X2]: (multiplication(X0,multiplication(X1,X2))=multiplication(multiplication(X0,X1),X2))),
% 0.19/0.95 inference(cnf_transformation,[status(thm)],[f5])).
% 0.19/0.95 fof(f25,plain,(
% 0.19/0.95 ![X0]: (multiplication(one,X0)=X0)),
% 0.19/0.95 inference(cnf_transformation,[status(thm)],[f7])).
% 0.19/0.95 fof(f26,plain,(
% 0.19/0.95 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X1),multiplication(X0,X2)))),
% 0.19/0.95 inference(cnf_transformation,[status(thm)],[f8])).
% 0.19/0.95 fof(f27,plain,(
% 0.19/0.95 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 0.19/0.95 inference(cnf_transformation,[status(thm)],[f9])).
% 0.19/0.95 fof(f30,plain,(
% 0.19/0.95 ![A,B]: ((~leq(A,B)|addition(A,B)=B)&(leq(A,B)|~addition(A,B)=B))),
% 0.19/0.95 inference(NNF_transformation,[status(thm)],[f12])).
% 0.19/0.95 fof(f31,plain,(
% 0.19/0.95 (![A,B]: (~leq(A,B)|addition(A,B)=B))&(![A,B]: (leq(A,B)|~addition(A,B)=B))),
% 0.19/0.95 inference(miniscoping,[status(thm)],[f30])).
% 0.19/0.95 fof(f32,plain,(
% 0.19/0.95 ![X0,X1]: (~leq(X0,X1)|addition(X0,X1)=X1)),
% 0.19/0.95 inference(cnf_transformation,[status(thm)],[f31])).
% 0.19/0.95 fof(f33,plain,(
% 0.19/0.95 ![X0,X1]: (leq(X0,X1)|~addition(X0,X1)=X1)),
% 0.19/0.95 inference(cnf_transformation,[status(thm)],[f31])).
% 0.19/0.95 fof(f34,plain,(
% 0.19/0.95 ![X0]: (leq(addition(one,multiplication(X0,star(X0))),star(X0)))),
% 0.19/0.95 inference(cnf_transformation,[status(thm)],[f13])).
% 0.19/0.95 fof(f36,plain,(
% 0.19/0.95 ![A,B,C]: (~leq(addition(multiplication(A,B),C),B)|leq(multiplication(star(A),C),B))),
% 0.19/0.95 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.19/0.95 fof(f37,plain,(
% 0.19/0.95 ![X0,X1,X2]: (~leq(addition(multiplication(X0,X1),X2),X1)|leq(multiplication(star(X0),X2),X1))),
% 0.19/0.95 inference(cnf_transformation,[status(thm)],[f36])).
% 0.19/0.95 fof(f40,plain,(
% 0.19/0.95 (?[X0,X1]: (~leq(multiplication(star(X0),X1),addition(X1,multiplication(multiplication(X0,star(X0)),X1)))|~leq(addition(X1,multiplication(multiplication(X0,star(X0)),X1)),multiplication(star(X0),X1))))),
% 0.19/0.95 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.19/0.95 fof(f41,plain,(
% 0.19/0.95 (?[X0,X1]: ~leq(multiplication(star(X0),X1),addition(X1,multiplication(multiplication(X0,star(X0)),X1))))|(?[X0,X1]: ~leq(addition(X1,multiplication(multiplication(X0,star(X0)),X1)),multiplication(star(X0),X1)))),
% 0.19/0.95 inference(miniscoping,[status(thm)],[f40])).
% 0.19/0.95 fof(f42,plain,(
% 0.19/0.95 ~leq(multiplication(star(sK0_skl),sK1_skl),addition(sK1_skl,multiplication(multiplication(sK0_skl,star(sK0_skl)),sK1_skl)))|~leq(addition(sK3_skl,multiplication(multiplication(sK2_skl,star(sK2_skl)),sK3_skl)),multiplication(star(sK2_skl),sK3_skl))),
% 0.19/0.95 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])).
% 0.19/0.95 fof(f43,plain,(
% 0.19/0.95 ~leq(multiplication(star(sK0_skl),sK1_skl),addition(sK1_skl,multiplication(multiplication(sK0_skl,star(sK0_skl)),sK1_skl)))|~leq(addition(sK3_skl,multiplication(multiplication(sK2_skl,star(sK2_skl)),sK3_skl)),multiplication(star(sK2_skl),sK3_skl))),
% 0.19/0.95 inference(cnf_transformation,[status(thm)],[f42])).
% 0.19/0.95 fof(f44,definition,(
% 0.19/0.95 sQ0_spl <=> (leq(multiplication(star(sK0_skl),sK1_skl),addition(sK1_skl,multiplication(multiplication(sK0_skl,star(sK0_skl)),sK1_skl))))),
% 0.19/0.95 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.19/0.95 fof(f46,plain,(
% 0.19/0.95 ~leq(multiplication(star(sK0_skl),sK1_skl),addition(sK1_skl,multiplication(multiplication(sK0_skl,star(sK0_skl)),sK1_skl)))|sQ0_spl),
% 0.19/0.95 inference(component_clause,[status(thm)],[f44])).
% 0.19/0.95 fof(f47,definition,(
% 0.19/0.95 sQ1_spl <=> (leq(addition(sK3_skl,multiplication(multiplication(sK2_skl,star(sK2_skl)),sK3_skl)),multiplication(star(sK2_skl),sK3_skl)))),
% 0.19/0.95 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.19/0.95 fof(f49,plain,(
% 0.19/0.95 ~leq(addition(sK3_skl,multiplication(multiplication(sK2_skl,star(sK2_skl)),sK3_skl)),multiplication(star(sK2_skl),sK3_skl))|sQ1_spl),
% 0.19/0.95 inference(component_clause,[status(thm)],[f47])).
% 0.19/0.95 fof(f50,plain,(
% 0.19/0.95 ~sQ0_spl|~sQ1_spl),
% 0.19/0.95 inference(split_clause,[status(thm)],[f43,f44,f47])).
% 0.19/0.95 fof(f55,plain,(
% 0.19/0.95 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X2,addition(X0,X1)))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f19,f20])).
% 0.19/0.95 fof(f61,plain,(
% 0.19/0.95 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X0,X1))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f22,f20])).
% 0.19/0.95 fof(f72,plain,(
% 0.19/0.95 ![X0,X1]: (addition(X0,addition(X1,X0))=addition(X0,X1))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f19,f61])).
% 0.19/0.95 fof(f110,plain,(
% 0.19/0.95 ~leq(multiplication(star(sK0_skl),sK1_skl),addition(sK1_skl,multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl))))|sQ0_spl),
% 0.19/0.95 inference(backward_demodulation,[status(thm)],[f23,f46])).
% 0.19/0.95 fof(f121,plain,(
% 0.19/0.95 ![X0,X1]: (addition(X0,X1)=addition(X1,addition(addition(X0,X1),X0)))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f22,f55])).
% 0.19/0.95 fof(f127,plain,(
% 0.19/0.95 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X1,addition(X0,X2)))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f19,f55])).
% 0.19/0.95 fof(f145,plain,(
% 0.19/0.95 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X1,X0))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f22,f55])).
% 0.19/0.95 fof(f166,plain,(
% 0.19/0.95 ![X0,X1]: (addition(X0,X1)=addition(X1,addition(X0,addition(X1,X0))))),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f20,f121])).
% 0.19/0.95 fof(f167,plain,(
% 0.19/0.95 ![X0,X1]: (addition(X0,X1)=addition(X1,addition(X0,X1)))),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f72,f166])).
% 0.19/0.95 fof(f254,plain,(
% 0.19/0.95 ![X0,X1,X2,X3]: (addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3))=addition(multiplication(X0,addition(X1,X2)),X3))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f26,f20])).
% 0.19/0.95 fof(f271,plain,(
% 0.19/0.95 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X1,X2),multiplication(X0,X2)))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f19,f27])).
% 0.19/0.95 fof(f275,plain,(
% 0.19/0.95 ![X0,X1,X2,X3]: (multiplication(addition(X0,multiplication(X1,X2)),X3)=addition(multiplication(X0,X3),multiplication(X1,multiplication(X2,X3))))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f23,f27])).
% 0.19/0.95 fof(f321,plain,(
% 0.19/0.95 ![X0,X1]: (multiplication(addition(X0,one),X1)=addition(multiplication(X0,X1),X1))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f25,f27])).
% 0.19/0.95 fof(f322,plain,(
% 0.19/0.95 ![X0,X1]: (multiplication(addition(one,X0),X1)=addition(X1,multiplication(X0,X1)))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f25,f27])).
% 0.19/0.95 fof(f426,plain,(
% 0.19/0.95 ![X0,X1,X2]: (addition(X0,addition(addition(X0,X1),X2))=addition(addition(X1,X0),X2))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f145,f20])).
% 0.19/0.95 fof(f459,plain,(
% 0.19/0.95 ![X0,X1,X2]: (addition(X0,addition(X0,addition(X1,X2)))=addition(addition(X1,X0),X2))),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f20,f426])).
% 0.19/0.95 fof(f460,plain,(
% 0.19/0.95 ![X0,X1,X2]: (addition(addition(X0,X1),X2)=addition(addition(X0,X2),X1))),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f145,f459])).
% 0.19/0.95 fof(f461,plain,(
% 0.19/0.95 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X2),X1))),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f20,f460])).
% 0.19/0.95 fof(f462,plain,(
% 0.19/0.95 ![X0]: (addition(addition(one,multiplication(X0,star(X0))),star(X0))=star(X0))),
% 0.19/0.95 inference(resolution,[status(thm)],[f34,f32])).
% 0.19/0.95 fof(f466,plain,(
% 0.19/0.95 ![X0]: (addition(one,addition(multiplication(X0,star(X0)),star(X0)))=star(X0))),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f20,f462])).
% 0.19/0.95 fof(f473,plain,(
% 0.19/0.95 ![X0,X1,X2]: (leq(multiplication(star(X0),X1),X2)|~addition(addition(multiplication(X0,X2),X1),X2)=X2)),
% 0.19/0.95 inference(resolution,[status(thm)],[f37,f33])).
% 0.19/0.95 fof(f491,plain,(
% 0.19/0.95 ![X0,X1,X2]: (leq(multiplication(star(X0),X1),X2)|~addition(multiplication(X0,X2),addition(X1,X2))=X2)),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f20,f473])).
% 0.19/0.95 fof(f3349,plain,(
% 0.19/0.95 ![X0]: (addition(one,multiplication(addition(X0,one),star(X0)))=star(X0))),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f321,f466])).
% 0.19/0.95 fof(f3373,plain,(
% 0.19/0.95 ![X0]: (addition(one,multiplication(addition(X0,one),star(X0)))=addition(multiplication(addition(X0,one),star(X0)),star(X0)))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f3349,f167])).
% 0.19/0.95 fof(f3377,plain,(
% 0.19/0.95 ![X0]: (addition(one,star(X0))=addition(one,multiplication(addition(X0,one),star(X0))))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f3349,f61])).
% 0.19/0.95 fof(f3393,plain,(
% 0.19/0.95 ![X0]: (star(X0)=addition(multiplication(addition(X0,one),star(X0)),star(X0)))),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f3349,f3373])).
% 0.19/0.95 fof(f3394,plain,(
% 0.19/0.95 ![X0]: (star(X0)=multiplication(addition(addition(X0,one),one),star(X0)))),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f321,f3393])).
% 0.19/0.95 fof(f3395,plain,(
% 0.19/0.95 ![X0]: (star(X0)=multiplication(addition(X0,addition(one,one)),star(X0)))),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f461,f3394])).
% 0.19/0.95 fof(f3396,plain,(
% 0.19/0.95 ![X0]: (star(X0)=multiplication(addition(X0,one),star(X0)))),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f22,f3395])).
% 0.19/0.95 fof(f3400,plain,(
% 0.19/0.95 ![X0]: (addition(one,star(X0))=star(X0))),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f3349,f3377])).
% 0.19/0.95 fof(f3524,plain,(
% 0.19/0.95 ![X0]: (star(X0)=multiplication(addition(one,X0),star(X0)))),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f19,f3396])).
% 0.19/0.95 fof(f3810,plain,(
% 0.19/0.95 ~addition(multiplication(sK0_skl,addition(sK1_skl,multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl)))),addition(sK1_skl,addition(sK1_skl,multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl)))))=addition(sK1_skl,multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl)))|sQ0_spl),
% 0.19/0.95 inference(resolution,[status(thm)],[f491,f110])).
% 0.19/0.95 fof(f3816,plain,(
% 0.19/0.95 ~addition(multiplication(sK0_skl,addition(sK1_skl,multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl)))),addition(multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl)),sK1_skl))=addition(sK1_skl,multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl)))|sQ0_spl),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f145,f3810])).
% 0.19/0.95 fof(f3817,plain,(
% 0.19/0.95 ~addition(multiplication(sK0_skl,addition(addition(sK1_skl,multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl))),multiplication(star(sK0_skl),sK1_skl))),sK1_skl)=addition(sK1_skl,multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl)))|sQ0_spl),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f254,f3816])).
% 0.19/0.95 fof(f3818,plain,(
% 0.19/0.95 ~addition(multiplication(sK0_skl,addition(sK1_skl,addition(multiplication(star(sK0_skl),sK1_skl),multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl))))),sK1_skl)=addition(sK1_skl,multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl)))|sQ0_spl),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f461,f3817])).
% 0.19/0.95 fof(f3819,plain,(
% 0.19/0.95 ~addition(multiplication(sK0_skl,addition(sK1_skl,multiplication(addition(star(sK0_skl),multiplication(sK0_skl,star(sK0_skl))),sK1_skl))),sK1_skl)=addition(sK1_skl,multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl)))|sQ0_spl),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f275,f3818])).
% 0.19/0.95 fof(f3820,plain,(
% 0.19/0.95 ~addition(multiplication(sK0_skl,multiplication(addition(one,addition(star(sK0_skl),multiplication(sK0_skl,star(sK0_skl)))),sK1_skl)),sK1_skl)=addition(sK1_skl,multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl)))|sQ0_spl),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f322,f3819])).
% 0.19/0.95 fof(f3821,plain,(
% 0.19/0.95 ~addition(multiplication(sK0_skl,multiplication(addition(one,multiplication(addition(one,sK0_skl),star(sK0_skl))),sK1_skl)),sK1_skl)=addition(sK1_skl,multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl)))|sQ0_spl),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f322,f3820])).
% 0.19/0.95 fof(f3822,plain,(
% 0.19/0.95 ~addition(multiplication(sK0_skl,multiplication(addition(one,star(sK0_skl)),sK1_skl)),sK1_skl)=addition(sK1_skl,multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl)))|sQ0_spl),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f3524,f3821])).
% 0.19/0.95 fof(f3823,plain,(
% 0.19/0.95 ~addition(multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl)),sK1_skl)=addition(sK1_skl,multiplication(sK0_skl,multiplication(star(sK0_skl),sK1_skl)))|sQ0_spl),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f3400,f3822])).
% 0.19/0.95 fof(f3824,plain,(
% 0.19/0.95 $false|sQ0_spl),
% 0.19/0.95 inference(forward_subsumption_resolution,[status(thm)],[f3823,f19])).
% 0.19/0.95 fof(f3825,plain,(
% 0.19/0.95 sQ0_spl),
% 0.19/0.95 inference(contradiction_clause,[status(thm)],[f3824])).
% 0.19/0.95 fof(f3830,plain,(
% 0.19/0.95 ~leq(multiplication(addition(one,multiplication(sK2_skl,star(sK2_skl))),sK3_skl),multiplication(star(sK2_skl),sK3_skl))|sQ1_spl),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f322,f49])).
% 0.19/0.95 fof(f4174,plain,(
% 0.19/0.95 ~addition(multiplication(addition(one,multiplication(sK2_skl,star(sK2_skl))),sK3_skl),multiplication(star(sK2_skl),sK3_skl))=multiplication(star(sK2_skl),sK3_skl)|sQ1_spl),
% 0.19/0.95 inference(resolution,[status(thm)],[f3830,f33])).
% 0.19/0.95 fof(f4175,plain,(
% 0.19/0.95 ~multiplication(addition(star(sK2_skl),addition(one,multiplication(sK2_skl,star(sK2_skl)))),sK3_skl)=multiplication(star(sK2_skl),sK3_skl)|sQ1_spl),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f271,f4174])).
% 0.19/0.95 fof(f4855,plain,(
% 0.19/0.95 ~multiplication(addition(one,addition(star(sK2_skl),multiplication(sK2_skl,star(sK2_skl)))),sK3_skl)=multiplication(star(sK2_skl),sK3_skl)|sQ1_spl),
% 0.19/0.95 inference(paramodulation,[status(thm)],[f127,f4175])).
% 0.19/0.95 fof(f4858,plain,(
% 0.19/0.95 ~multiplication(addition(one,multiplication(addition(one,sK2_skl),star(sK2_skl))),sK3_skl)=multiplication(star(sK2_skl),sK3_skl)|sQ1_spl),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f322,f4855])).
% 0.19/0.95 fof(f4859,plain,(
% 0.19/0.95 ~multiplication(addition(one,star(sK2_skl)),sK3_skl)=multiplication(star(sK2_skl),sK3_skl)|sQ1_spl),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f3524,f4858])).
% 0.19/0.95 fof(f4860,plain,(
% 0.19/0.95 ~multiplication(star(sK2_skl),sK3_skl)=multiplication(star(sK2_skl),sK3_skl)|sQ1_spl),
% 0.19/0.95 inference(forward_demodulation,[status(thm)],[f3400,f4859])).
% 0.19/0.95 fof(f4861,plain,(
% 0.19/0.95 $false|sQ1_spl),
% 0.19/0.95 inference(trivial_equality_resolution,[status(thm)],[f4860])).
% 0.19/0.95 fof(f4862,plain,(
% 0.19/0.95 sQ1_spl),
% 0.19/0.95 inference(contradiction_clause,[status(thm)],[f4861])).
% 0.19/0.95 fof(f4863,plain,(
% 0.19/0.95 $false),
% 0.19/0.95 inference(sat_refutation,[status(thm)],[f50,f3825,f4862])).
% 0.19/0.96 % SZS output end CNFRefutation for theBenchmark.p
% 0.91/0.99 % Elapsed time: 0.554973 seconds
% 0.91/0.99 % CPU time: 3.951747 seconds
% 0.91/0.99 % Total memory used: 92.417 MB
% 0.91/0.99 % Net memory used: 91.420 MB
%------------------------------------------------------------------------------