0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.14/0.34 % Computer : n015.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Tue Aug 9 03:50:56 EDT 2022 0.14/0.34 % CPUTime : 0.14/0.35 % Drodi V3.3.3 3.26/0.80 % Refutation found 3.26/0.80 % SZS status Theorem for theBenchmark: Theorem is valid 3.26/0.80 % SZS output start CNFRefutation for theBenchmark 3.26/0.80 fof(f1,axiom,( 3.26/0.80 (! [A,B] :( leq(A,B)<=> B = addition(A,B) ) )), 3.26/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 3.26/0.80 fof(f2,axiom,( 3.26/0.80 (! [A] : leq(addition(one,multiplication(A,star(A))),star(A)) )), 3.26/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 3.26/0.80 fof(f4,axiom,( 3.26/0.80 (! [A,B,C] : addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C) )), 3.26/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 3.26/0.80 fof(f5,axiom,( 3.26/0.80 (! [C,B,A] : addition(addition(A,B),C) = addition(A,addition(B,C)) )), 3.26/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 3.26/0.80 fof(f6,axiom,( 3.26/0.80 (! [A,B] : addition(A,B) = addition(B,A) )), 3.26/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 3.26/0.80 fof(f8,axiom,( 3.26/0.80 (! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )), 3.26/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 3.26/0.80 fof(f9,axiom,( 3.26/0.80 (! [A] : addition(A,A) = A )), 3.26/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 3.26/0.80 fof(f10,axiom,( 3.26/0.80 (! [A] : A = multiplication(one,A) )), 3.26/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 3.26/0.80 fof(f14,axiom,( 3.26/0.80 (! [A] : multiplication(A,one) = A )), 3.26/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 3.26/0.80 fof(f17,conjecture,( 3.26/0.80 leq(multiplication(a,a),star(a)) ), 3.26/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 3.26/0.80 fof(f18,negated_conjecture,( 3.26/0.80 ~(leq(multiplication(a,a),star(a)) )), 3.26/0.80 inference(negated_conjecture,[status(cth)],[f17])). 3.26/0.80 fof(f19,plain,( 3.26/0.80 ![A,B]: ((~leq(A,B)|B=addition(A,B))&(leq(A,B)|~B=addition(A,B)))), 3.26/0.80 inference(NNF_transformation,[status(esa)],[f1])). 3.26/0.80 fof(f20,plain,( 3.26/0.80 (![A,B]: (~leq(A,B)|B=addition(A,B)))&(![A,B]: (leq(A,B)|~B=addition(A,B)))), 3.26/0.80 inference(miniscoping,[status(esa)],[f19])). 3.26/0.80 fof(f21,plain,( 3.26/0.80 ![X0,X1]: (~leq(X0,X1)|X1=addition(X0,X1))), 3.26/0.80 inference(cnf_transformation,[status(esa)],[f20])). 3.26/0.80 fof(f22,plain,( 3.26/0.80 ![X0,X1]: (leq(X0,X1)|~X1=addition(X0,X1))), 3.26/0.80 inference(cnf_transformation,[status(esa)],[f20])). 3.26/0.80 fof(f23,plain,( 3.26/0.80 ![X0]: (leq(addition(one,multiplication(X0,star(X0))),star(X0)))), 3.26/0.80 inference(cnf_transformation,[status(esa)],[f2])). 3.26/0.80 fof(f26,plain,( 3.26/0.80 ![X0,X1,X2]: (addition(multiplication(X0,X1),multiplication(X2,X1))=multiplication(addition(X0,X2),X1))), 3.26/0.80 inference(cnf_transformation,[status(esa)],[f4])). 3.26/0.80 fof(f27,plain,( 3.26/0.80 ![X0,X1,X2]: (addition(addition(X0,X1),X2)=addition(X0,addition(X1,X2)))), 3.26/0.80 inference(cnf_transformation,[status(esa)],[f5])). 3.26/0.80 fof(f28,plain,( 3.26/0.80 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))), 3.26/0.80 inference(cnf_transformation,[status(esa)],[f6])). 3.26/0.80 fof(f30,plain,( 3.26/0.80 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X1),multiplication(X0,X2)))), 3.26/0.80 inference(cnf_transformation,[status(esa)],[f8])). 3.26/0.80 fof(f31,plain,( 3.26/0.80 ![X0]: (addition(X0,X0)=X0)), 3.26/0.80 inference(cnf_transformation,[status(esa)],[f9])). 3.26/0.80 fof(f32,plain,( 3.26/0.80 ![X0]: (X0=multiplication(one,X0))), 3.26/0.80 inference(cnf_transformation,[status(esa)],[f10])). 3.26/0.80 fof(f37,plain,( 3.26/0.80 ![X0]: (multiplication(X0,one)=X0)), 3.26/0.80 inference(cnf_transformation,[status(esa)],[f14])). 3.26/0.80 fof(f40,plain,( 3.26/0.80 ~leq(multiplication(a,a),star(a))), 3.26/0.80 inference(cnf_transformation,[status(esa)],[f18])). 3.26/0.80 fof(f41,plain,( 3.26/0.80 ~star(a)=addition(multiplication(a,a),star(a))), 3.26/0.80 inference(resolution,[status(thm)],[f22,f40])). 3.26/0.80 fof(f42,plain,( 3.26/0.80 ![X0]: (star(X0)=addition(addition(one,multiplication(X0,star(X0))),star(X0)))), 3.26/0.80 inference(resolution,[status(thm)],[f23,f21])). 3.26/0.80 fof(f49,plain,( 3.26/0.80 ![X0,X1]: (addition(multiplication(X0,X1),X1)=multiplication(addition(X0,one),X1))), 3.26/0.80 inference(paramodulation,[status(thm)],[f32,f26])). 3.26/0.80 fof(f50,plain,( 3.26/0.80 ![X0,X1]: (addition(X0,multiplication(X1,X0))=multiplication(addition(one,X1),X0))), 3.26/0.80 inference(paramodulation,[status(thm)],[f32,f26])). 3.26/0.80 fof(f65,plain,( 3.26/0.80 ![X0,X1]: (addition(X0,X1)=addition(X0,addition(X0,X1)))), 3.26/0.80 inference(paramodulation,[status(thm)],[f31,f27])). 3.26/0.80 fof(f68,plain,( 3.26/0.80 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X2,addition(X0,X1)))), 3.26/0.81 inference(paramodulation,[status(thm)],[f27,f28])). 3.26/0.81 fof(f69,plain,( 3.26/0.81 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X1,X2),multiplication(X0,X2)))), 3.26/0.81 inference(paramodulation,[status(thm)],[f26,f28])). 3.26/0.81 fof(f70,plain,( 3.26/0.81 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=multiplication(addition(X1,X0),X2))), 3.26/0.81 inference(forward_demodulation,[status(thm)],[f26,f69])). 3.26/0.81 fof(f77,plain,( 3.26/0.81 ~star(a)=addition(star(a),multiplication(a,a))), 3.26/0.81 inference(paramodulation,[status(thm)],[f28,f41])). 3.26/0.81 fof(f82,plain,( 3.26/0.81 ![X0,X1,X2]: (addition(addition(X0,X1),X2)=addition(X1,addition(X0,X2)))), 3.26/0.81 inference(paramodulation,[status(thm)],[f28,f27])). 3.26/0.81 fof(f83,plain,( 3.26/0.81 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X1,addition(X0,X2)))), 3.26/0.81 inference(forward_demodulation,[status(thm)],[f27,f82])). 3.26/0.81 fof(f101,plain,( 3.26/0.81 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X2),multiplication(X0,X1)))), 3.26/0.81 inference(paramodulation,[status(thm)],[f28,f30])). 3.26/0.81 fof(f102,plain,( 3.26/0.81 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=multiplication(X0,addition(X2,X1)))), 3.26/0.81 inference(forward_demodulation,[status(thm)],[f30,f101])). 3.26/0.81 fof(f109,plain,( 3.26/0.81 ![X0,X1]: (multiplication(X0,addition(one,X1))=addition(X0,multiplication(X0,X1)))), 3.26/0.81 inference(paramodulation,[status(thm)],[f37,f30])). 3.26/0.81 fof(f204,plain,( 3.26/0.81 ![X0,X1]: (addition(X0,X1)=addition(X0,addition(X1,X0)))), 3.26/0.81 inference(paramodulation,[status(thm)],[f28,f65])). 3.26/0.81 fof(f278,plain,( 3.26/0.81 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X2,X1),addition(X0,X1)))), 3.26/0.81 inference(paramodulation,[status(thm)],[f204,f68])). 3.26/0.81 fof(f279,plain,( 3.26/0.81 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X2,addition(X1,addition(X0,X1))))), 3.26/0.81 inference(forward_demodulation,[status(thm)],[f27,f278])). 3.26/0.81 fof(f280,plain,( 3.26/0.81 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(X2,addition(X1,X0)))), 3.26/0.81 inference(forward_demodulation,[status(thm)],[f204,f279])). 3.26/0.81 fof(f405,plain,( 3.26/0.81 ![X0,X1,X2,X3]: (multiplication(addition(X0,X1),addition(X2,X3))=addition(multiplication(addition(X0,X1),X2),multiplication(addition(X1,X0),X3)))), 3.26/0.81 inference(paramodulation,[status(thm)],[f70,f30])). 3.26/0.81 fof(f430,plain,( 3.26/0.81 ![X0]: (star(X0)=addition(one,addition(multiplication(X0,star(X0)),star(X0))))), 3.26/0.81 inference(forward_demodulation,[status(thm)],[f27,f42])). 3.26/0.81 fof(f431,plain,( 3.26/0.81 ![X0]: (star(X0)=addition(one,addition(star(X0),multiplication(X0,star(X0)))))), 3.26/0.81 inference(forward_demodulation,[status(thm)],[f28,f430])). 3.26/0.81 fof(f447,plain,( 3.26/0.81 ![X0]: (addition(addition(star(X0),multiplication(X0,star(X0))),one)=addition(addition(star(X0),multiplication(X0,star(X0))),star(X0)))), 3.26/0.81 inference(paramodulation,[status(thm)],[f431,f204])). 3.26/0.81 fof(f448,plain,( 3.26/0.81 ![X0]: (addition(star(X0),addition(multiplication(X0,star(X0)),one))=addition(addition(star(X0),multiplication(X0,star(X0))),star(X0)))), 3.26/0.81 inference(forward_demodulation,[status(thm)],[f27,f447])). 3.26/0.81 fof(f449,plain,( 3.26/0.81 ![X0]: (addition(one,addition(star(X0),multiplication(X0,star(X0))))=addition(addition(star(X0),multiplication(X0,star(X0))),star(X0)))), 3.26/0.81 inference(forward_demodulation,[status(thm)],[f68,f448])). 3.26/0.81 fof(f450,plain,( 3.26/0.81 ![X0]: (star(X0)=addition(addition(star(X0),multiplication(X0,star(X0))),star(X0)))), 3.26/0.81 inference(forward_demodulation,[status(thm)],[f431,f449])). 3.26/0.81 fof(f451,plain,( 3.26/0.81 ![X0]: (star(X0)=addition(star(X0),addition(multiplication(X0,star(X0)),star(X0))))), 3.26/0.81 inference(forward_demodulation,[status(thm)],[f27,f450])). 3.26/0.81 fof(f452,plain,( 3.26/0.81 ![X0]: (star(X0)=addition(star(X0),addition(star(X0),multiplication(X0,star(X0)))))), 3.26/0.81 inference(forward_demodulation,[status(thm)],[f68,f451])). 3.26/0.81 fof(f453,plain,( 3.26/0.81 ![X0]: (star(X0)=addition(star(X0),multiplication(X0,star(X0))))), 3.26/0.81 inference(forward_demodulation,[status(thm)],[f65,f452])). 3.26/0.81 fof(f454,plain,( 3.26/0.81 ![X0]: (addition(one,addition(star(X0),multiplication(X0,star(X0))))=addition(one,star(X0)))), 3.26/0.81 inference(paramodulation,[status(thm)],[f431,f65])). 3.26/0.81 fof(f455,plain,( 3.26/0.81 ![X0]: (star(X0)=addition(one,star(X0)))), 3.26/0.81 inference(forward_demodulation,[status(thm)],[f431,f454])). 3.26/0.82 fof(f1377,plain,( 3.26/0.82 ![X0,X1]: (addition(X0,multiplication(X1,X0))=multiplication(addition(X1,one),X0))), 3.26/0.82 inference(forward_demodulation,[status(thm)],[f28,f49])). 3.26/0.82 fof(f1378,plain,( 3.26/0.82 ![X0]: (star(X0)=multiplication(addition(X0,one),star(X0)))), 3.26/0.82 inference(paramodulation,[status(thm)],[f453,f1377])). 3.26/0.82 fof(f1689,plain,( 3.26/0.82 ![X0]: (multiplication(X0,addition(one,X0))=multiplication(addition(one,X0),X0))), 3.26/0.82 inference(paramodulation,[status(thm)],[f50,f109])). 3.26/0.82 fof(f1697,plain,( 3.26/0.82 ![X0]: (multiplication(addition(X0,one),addition(one,star(X0)))=addition(addition(X0,one),star(X0)))), 3.26/0.82 inference(paramodulation,[status(thm)],[f1378,f109])). 3.26/0.82 fof(f1698,plain,( 3.26/0.82 ![X0]: (multiplication(addition(X0,one),star(X0))=addition(addition(X0,one),star(X0)))), 3.26/0.82 inference(forward_demodulation,[status(thm)],[f455,f1697])). 3.26/0.82 fof(f1699,plain,( 3.26/0.82 ![X0]: (star(X0)=addition(addition(X0,one),star(X0)))), 3.26/0.82 inference(forward_demodulation,[status(thm)],[f1378,f1698])). 3.26/0.82 fof(f1700,plain,( 3.26/0.82 ![X0]: (star(X0)=addition(X0,addition(one,star(X0))))), 3.26/0.82 inference(forward_demodulation,[status(thm)],[f27,f1699])). 3.26/0.82 fof(f1701,plain,( 3.26/0.82 ![X0]: (star(X0)=addition(X0,star(X0)))), 3.26/0.82 inference(forward_demodulation,[status(thm)],[f455,f1700])). 3.26/0.82 fof(f1789,plain,( 3.26/0.82 ![X0,X1]: (addition(star(X0),addition(X0,X1))=addition(X1,star(X0)))), 3.26/0.82 inference(paramodulation,[status(thm)],[f1701,f280])). 3.26/0.82 fof(f1790,plain,( 3.26/0.82 ![X0,X1]: (addition(X0,addition(star(X0),X1))=addition(X1,star(X0)))), 3.26/0.82 inference(forward_demodulation,[status(thm)],[f83,f1789])). 3.26/0.82 fof(f3532,plain,( 3.26/0.82 ![X0,X1]: (multiplication(addition(X0,one),addition(X1,X0))=addition(multiplication(addition(X0,one),X1),multiplication(X0,addition(one,X0))))), 3.26/0.82 inference(paramodulation,[status(thm)],[f1689,f405])). 3.26/0.82 fof(f5064,plain,( 3.26/0.82 ![X0]: (multiplication(addition(X0,one),addition(star(X0),X0))=addition(star(X0),multiplication(X0,addition(one,X0))))), 3.26/0.82 inference(paramodulation,[status(thm)],[f1378,f3532])). 3.26/0.82 fof(f5065,plain,( 3.26/0.82 ![X0]: (multiplication(addition(X0,one),addition(X0,star(X0)))=addition(star(X0),multiplication(X0,addition(one,X0))))), 3.26/0.82 inference(forward_demodulation,[status(thm)],[f102,f5064])). 3.26/0.82 fof(f5066,plain,( 3.26/0.82 ![X0]: (multiplication(addition(X0,one),star(X0))=addition(star(X0),multiplication(X0,addition(one,X0))))), 3.26/0.82 inference(forward_demodulation,[status(thm)],[f1701,f5065])). 3.26/0.82 fof(f5067,plain,( 3.26/0.82 ![X0]: (star(X0)=addition(star(X0),multiplication(X0,addition(one,X0))))), 3.26/0.82 inference(forward_demodulation,[status(thm)],[f1378,f5066])). 3.26/0.82 fof(f7309,plain,( 3.26/0.82 ![X0]: (star(X0)=addition(star(X0),addition(X0,multiplication(X0,X0))))), 3.26/0.82 inference(paramodulation,[status(thm)],[f109,f5067])). 3.26/0.82 fof(f7310,plain,( 3.26/0.82 ![X0]: (star(X0)=addition(X0,addition(star(X0),multiplication(X0,X0))))), 3.26/0.82 inference(forward_demodulation,[status(thm)],[f83,f7309])). 3.26/0.82 fof(f7311,plain,( 3.26/0.82 ![X0]: (star(X0)=addition(multiplication(X0,X0),star(X0)))), 3.26/0.82 inference(forward_demodulation,[status(thm)],[f1790,f7310])). 3.26/0.82 fof(f7312,plain,( 3.26/0.82 ![X0]: (star(X0)=addition(star(X0),multiplication(X0,X0)))), 3.26/0.82 inference(forward_demodulation,[status(thm)],[f28,f7311])). 3.26/0.82 fof(f7412,plain,( 3.26/0.82 ~star(a)=star(a)), 3.26/0.82 inference(backward_demodulation,[status(thm)],[f7312,f77])). 3.26/0.82 fof(f7413,plain,( 3.26/0.82 $false), 3.26/0.82 inference(trivial_equality_resolution,[status(esa)],[f7412])). 3.26/0.82 % SZS output end CNFRefutation for theBenchmark.p 3.26/0.82 % Elapsed time: 0.474035 seconds 3.26/0.82 % CPU time: 3.625063 seconds 3.26/0.82 % Memory used: 131.540 MB 3.26/0.82 EOF