0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.12/0.33 % Computer : n005.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 03:11:19 EDT 2022 0.12/0.33 % CPUTime : 0.18/0.35 % Drodi V3.3.3 341.34/43.24 % Refutation found 341.34/43.24 % SZS status Theorem for theBenchmark: Theorem is valid 341.34/43.24 % SZS output start CNFRefutation for theBenchmark 341.34/43.24 fof(f1,axiom,( 341.34/43.24 (! [B,C] : union(B,C) = union(C,B) )), 341.34/43.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 341.34/43.24 fof(f3,axiom,( 341.34/43.24 (! [B,C,D] : intersection(union(B,C),union(B,D)) = union(B,intersection(C,D)) )), 341.34/43.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 341.34/43.24 fof(f5,axiom,( 341.34/43.24 (! [B,C,D] : intersection(B,intersection(C,D)) = intersection(intersection(B,C),D) )), 341.34/43.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 341.34/43.24 fof(f6,axiom,( 341.34/43.24 (! [B,C] : intersection(C,B) = intersection(B,C) )), 341.34/43.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 341.34/43.24 fof(f7,axiom,( 341.34/43.24 (! [B,C,D] : union(union(B,C),D) = union(B,union(C,D)) )), 341.34/43.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 341.34/43.24 fof(f10,axiom,( 341.34/43.24 (! [B] : B = intersection(B,B) )), 341.34/43.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 341.34/43.24 fof(f11,conjecture,( 341.34/43.24 (! [B,C,D] : union(union(intersection(B,C),intersection(C,D)),intersection(D,B)) = intersection(intersection(union(B,C),union(C,D)),union(D,B)) )), 341.34/43.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 341.34/43.24 fof(f12,negated_conjecture,( 341.34/43.24 ~((! [B,C,D] : union(union(intersection(B,C),intersection(C,D)),intersection(D,B)) = intersection(intersection(union(B,C),union(C,D)),union(D,B)) ))), 341.34/43.24 inference(negated_conjecture,[status(cth)],[f11])). 341.34/43.24 fof(f13,axiom,( 341.34/43.24 (! [B,C] : B = union(B,intersection(B,C)) )), 341.34/43.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 341.34/43.24 fof(f16,plain,( 341.34/43.24 ![X0,X1]: (union(X0,X1)=union(X1,X0))), 341.34/43.24 inference(cnf_transformation,[status(esa)],[f1])). 341.34/43.24 fof(f22,plain,( 341.34/43.24 ![X0,X1,X2]: (intersection(union(X0,X1),union(X0,X2))=union(X0,intersection(X1,X2)))), 341.34/43.24 inference(cnf_transformation,[status(esa)],[f3])). 341.34/43.24 fof(f28,plain,( 341.34/43.24 ![X0,X1,X2]: (intersection(X0,intersection(X1,X2))=intersection(intersection(X0,X1),X2))), 341.34/43.24 inference(cnf_transformation,[status(esa)],[f5])). 341.34/43.24 fof(f29,plain,( 341.34/43.24 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))), 341.34/43.24 inference(cnf_transformation,[status(esa)],[f6])). 341.34/43.24 fof(f30,plain,( 341.34/43.24 ![X0,X1,X2]: (union(union(X0,X1),X2)=union(X0,union(X1,X2)))), 341.34/43.24 inference(cnf_transformation,[status(esa)],[f7])). 341.34/43.24 fof(f39,plain,( 341.34/43.24 ![X0]: (X0=intersection(X0,X0))), 341.34/43.24 inference(cnf_transformation,[status(esa)],[f10])). 341.34/43.24 fof(f40,plain,( 341.34/43.24 (?[B,C,D]: ~union(union(intersection(B,C),intersection(C,D)),intersection(D,B))=intersection(intersection(union(B,C),union(C,D)),union(D,B)))), 341.34/43.24 inference(pre_NNF_transformation,[status(esa)],[f12])). 341.34/43.24 fof(f41,plain,( 341.34/43.24 ~union(union(intersection(sk0_1,sk0_2),intersection(sk0_2,sk0_3)),intersection(sk0_3,sk0_1))=intersection(intersection(union(sk0_1,sk0_2),union(sk0_2,sk0_3)),union(sk0_3,sk0_1))), 341.34/43.24 inference(skolemization,[status(esa)],[f40])). 341.34/43.24 fof(f42,plain,( 341.34/43.24 ~union(union(intersection(sk0_1,sk0_2),intersection(sk0_2,sk0_3)),intersection(sk0_3,sk0_1))=intersection(intersection(union(sk0_1,sk0_2),union(sk0_2,sk0_3)),union(sk0_3,sk0_1))), 341.34/43.24 inference(cnf_transformation,[status(esa)],[f41])). 341.34/43.24 fof(f43,plain,( 341.34/43.24 ![X0,X1]: (X0=union(X0,intersection(X0,X1)))), 341.34/43.24 inference(cnf_transformation,[status(esa)],[f13])). 341.34/43.24 fof(f58,plain,( 341.34/43.24 ~union(union(intersection(sk0_1,sk0_2),intersection(sk0_2,sk0_3)),intersection(sk0_1,sk0_3))=intersection(intersection(union(sk0_1,sk0_2),union(sk0_2,sk0_3)),union(sk0_3,sk0_1))), 341.34/43.24 inference(forward_demodulation,[status(thm)],[f29,f42])). 341.34/43.24 fof(f59,plain,( 341.34/43.24 ~union(union(intersection(sk0_1,sk0_2),intersection(sk0_2,sk0_3)),intersection(sk0_1,sk0_3))=intersection(union(sk0_1,sk0_2),intersection(union(sk0_2,sk0_3),union(sk0_3,sk0_1)))), 341.34/43.24 inference(forward_demodulation,[status(thm)],[f28,f58])). 341.34/43.24 fof(f60,plain,( 341.34/43.24 ~union(union(intersection(sk0_1,sk0_2),intersection(sk0_2,sk0_3)),intersection(sk0_1,sk0_3))=intersection(union(sk0_1,sk0_2),intersection(union(sk0_2,sk0_3),union(sk0_1,sk0_3)))), 341.34/43.24 inference(forward_demodulation,[status(thm)],[f16,f59])). 341.34/43.24 fof(f61,plain,( 341.34/43.24 ~union(union(intersection(sk0_1,sk0_2),intersection(sk0_2,sk0_3)),intersection(sk0_1,sk0_3))=intersection(union(sk0_1,sk0_2),intersection(union(sk0_1,sk0_3),union(sk0_2,sk0_3)))), 341.34/43.24 inference(forward_demodulation,[status(thm)],[f29,f60])). 341.34/43.24 fof(f72,plain,( 341.34/43.24 ![X0,X1,X2]: (intersection(union(X0,X1),union(X1,X2))=union(X1,intersection(X0,X2)))), 341.34/43.24 inference(paramodulation,[status(thm)],[f16,f22])). 341.34/43.24 fof(f74,plain,( 341.34/43.24 ![X0,X1,X2]: (intersection(union(X0,X1),union(X2,X0))=union(X0,intersection(X1,X2)))), 341.34/43.24 inference(paramodulation,[status(thm)],[f16,f22])). 341.34/43.24 fof(f82,plain,( 341.34/43.24 ![X0,X1,X2]: (union(X0,intersection(X1,X2))=intersection(union(X0,X2),union(X0,X1)))), 341.34/43.24 inference(paramodulation,[status(thm)],[f22,f29])). 341.34/43.24 fof(f83,plain,( 341.34/43.24 ![X0,X1,X2]: (union(X0,intersection(X1,X2))=union(X0,intersection(X2,X1)))), 341.34/43.24 inference(forward_demodulation,[status(thm)],[f22,f82])). 341.34/43.24 fof(f91,plain,( 341.34/43.24 ![X0,X1]: (X0=union(X0,intersection(X1,X0)))), 341.34/43.24 inference(paramodulation,[status(thm)],[f29,f43])). 341.34/43.24 fof(f96,plain,( 341.34/43.24 ![X0,X1,X2]: (intersection(X0,union(X0,X1))=union(X0,intersection(intersection(X0,X2),X1)))), 341.34/43.24 inference(paramodulation,[status(thm)],[f43,f22])). 341.34/43.24 fof(f101,plain,( 341.34/43.24 ![X0,X1,X2,X3]: (intersection(union(X0,X1),intersection(union(X0,X2),X3))=intersection(union(X0,intersection(X1,X2)),X3))), 341.34/43.24 inference(paramodulation,[status(thm)],[f22,f28])). 341.34/43.24 fof(f109,plain,( 341.34/43.24 ~union(union(intersection(sk0_1,sk0_2),intersection(sk0_2,sk0_3)),intersection(sk0_1,sk0_3))=intersection(union(sk0_1,intersection(sk0_2,sk0_3)),union(sk0_2,sk0_3))), 341.34/43.24 inference(backward_demodulation,[status(thm)],[f101,f61])). 341.34/43.24 fof(f110,plain,( 341.34/43.24 ~union(union(intersection(sk0_1,sk0_2),intersection(sk0_2,sk0_3)),intersection(sk0_1,sk0_3))=intersection(union(intersection(sk0_2,sk0_3),sk0_1),union(sk0_2,sk0_3))), 341.34/43.24 inference(forward_demodulation,[status(thm)],[f16,f109])). 341.34/43.24 fof(f127,plain,( 341.34/43.24 ![X0,X1,X2]: (union(X0,X1)=union(X0,union(X1,intersection(union(X0,X1),X2))))), 341.34/43.24 inference(paramodulation,[status(thm)],[f43,f30])). 341.34/43.24 fof(f128,plain,( 341.34/43.24 ![X0,X1,X2]: (union(X0,union(X1,X2))=union(X1,union(X2,X0)))), 341.34/43.24 inference(paramodulation,[status(thm)],[f16,f30])). 341.34/43.24 fof(f131,plain,( 341.34/43.24 ![X0,X1,X2]: (union(X0,X1)=union(X0,union(intersection(X0,X2),X1)))), 341.34/43.24 inference(paramodulation,[status(thm)],[f43,f30])). 341.34/43.24 fof(f146,plain,( 341.34/43.24 ![X0,X1,X2]: (union(X0,intersection(intersection(X0,X1),X2))=union(X0,intersection(X0,X1)))), 341.34/43.24 inference(paramodulation,[status(thm)],[f43,f131])). 341.34/43.24 fof(f147,plain,( 341.34/43.24 ![X0,X1,X2]: (intersection(X0,union(X0,X1))=union(X0,intersection(X0,X2)))), 341.34/43.24 inference(forward_demodulation,[status(thm)],[f96,f146])). 341.34/43.24 fof(f148,plain,( 341.34/43.24 ![X0,X1]: (intersection(X0,union(X0,X1))=X0)), 341.34/43.24 inference(forward_demodulation,[status(thm)],[f43,f147])). 341.34/43.24 fof(f149,plain,( 341.34/43.24 ![X0,X1,X2]: (union(X0,X1)=union(X0,union(X1,intersection(X0,X2))))), 341.34/43.24 inference(paramodulation,[status(thm)],[f16,f131])). 341.34/43.24 fof(f154,plain,( 341.34/43.24 ![X0,X1,X2]: (union(X0,X1)=union(X0,union(intersection(X2,X0),X1)))), 341.34/43.24 inference(paramodulation,[status(thm)],[f29,f131])). 341.34/43.24 fof(f199,plain,( 341.34/43.24 ![X0,X1,X2]: (union(X0,X1)=union(X0,union(X1,union(X0,intersection(X1,X2)))))), 341.34/43.24 inference(paramodulation,[status(thm)],[f22,f127])). 341.34/43.24 fof(f200,plain,( 341.34/43.25 ![X0,X1]: (union(X0,X1)=union(X0,union(X1,X0)))), 341.34/43.25 inference(forward_demodulation,[status(thm)],[f149,f199])). 341.34/43.25 fof(f295,plain,( 341.34/43.25 ![X0,X1,X2]: (union(X0,X1)=union(union(X0,X1),union(X0,intersection(X2,X1))))), 341.34/43.25 inference(paramodulation,[status(thm)],[f22,f91])). 341.34/43.25 fof(f332,plain,( 341.34/43.25 ![X0,X1,X2]: (union(union(X0,X1),X2)=union(union(X0,X1),union(X0,X2)))), 341.34/43.25 inference(paramodulation,[status(thm)],[f148,f154])). 341.34/43.25 fof(f334,plain,( 341.34/43.25 ![X0,X1,X2]: (intersection(X0,intersection(union(X0,X1),X2))=intersection(X0,X2))), 341.34/43.25 inference(paramodulation,[status(thm)],[f148,f28])). 341.34/43.25 fof(f336,plain,( 341.34/43.25 ![X0,X1,X2]: (union(X0,X1)=union(union(X0,X1),intersection(X2,X1)))), 341.34/43.25 inference(backward_demodulation,[status(thm)],[f332,f295])). 341.34/43.25 fof(f378,plain,( 341.34/43.25 ![X0,X1,X2]: (intersection(X0,intersection(union(X1,X0),X2))=intersection(X0,X2))), 341.34/43.25 inference(paramodulation,[status(thm)],[f16,f334])). 341.34/43.25 fof(f393,plain,( 341.34/43.25 ![X0,X1,X2]: (intersection(X0,union(X1,intersection(X0,X2)))=intersection(X0,union(X1,X2)))), 341.34/43.25 inference(paramodulation,[status(thm)],[f22,f378])). 341.49/43.28 fof(f1661,plain,( 341.49/43.28 ![X0,X1,X2]: (intersection(union(X0,X1),intersection(union(X1,X0),X2))=intersection(union(X0,X1),X2))), 341.49/43.28 inference(paramodulation,[status(thm)],[f200,f378])). 341.49/43.28 fof(f4928,plain,( 341.49/43.28 ![X0,X1,X2,X3]: (intersection(union(X0,X1),intersection(union(X1,X2),X3))=intersection(union(X1,intersection(X0,X2)),X3))), 341.49/43.28 inference(paramodulation,[status(thm)],[f72,f28])). 341.49/43.28 fof(f5030,plain,( 341.49/43.28 ![X0,X1,X2]: (intersection(union(X0,intersection(X1,X1)),X2)=intersection(union(X1,X0),X2))), 341.49/43.28 inference(backward_demodulation,[status(thm)],[f4928,f1661])). 341.49/43.28 fof(f5031,plain,( 341.49/43.28 ![X0,X1,X2]: (intersection(union(X0,X1),X2)=intersection(union(X1,X0),X2))), 341.49/43.28 inference(forward_demodulation,[status(thm)],[f39,f5030])). 341.49/43.28 fof(f6883,plain,( 341.49/43.28 ![X0,X1,X2,X3]: (intersection(union(X0,X1),union(X2,union(X3,X0)))=union(X0,intersection(X1,union(X2,X3))))), 341.49/43.28 inference(paramodulation,[status(thm)],[f30,f74])). 341.49/43.28 fof(f9439,plain,( 341.49/43.28 ![X0,X1,X2]: (union(intersection(X0,X1),union(X2,X0))=union(X2,X0))), 341.49/43.28 inference(paramodulation,[status(thm)],[f43,f128])). 341.49/43.28 fof(f9440,plain,( 341.49/43.28 ![X0,X1,X2]: (union(union(intersection(X0,X1),X2),X0)=union(X2,X0))), 341.49/43.28 inference(forward_demodulation,[status(thm)],[f30,f9439])). 341.49/43.28 fof(f11189,plain,( 341.49/43.28 ![X0,X1,X2,X3]: (intersection(union(X0,X1),union(X2,union(intersection(X1,X3),X0)))=union(union(intersection(X1,X3),X0),intersection(X1,X2)))), 341.49/43.28 inference(paramodulation,[status(thm)],[f9440,f74])). 341.49/43.28 fof(f11190,plain,( 341.49/43.28 ![X0,X1,X2,X3]: (union(X0,intersection(X1,union(X2,intersection(X1,X3))))=union(union(intersection(X1,X3),X0),intersection(X1,X2)))), 341.49/43.28 inference(forward_demodulation,[status(thm)],[f6883,f11189])). 341.49/43.28 fof(f11191,plain,( 341.49/43.28 ![X0,X1,X2,X3]: (union(X0,intersection(X1,union(X2,X3)))=union(union(intersection(X1,X3),X0),intersection(X1,X2)))), 341.49/43.28 inference(forward_demodulation,[status(thm)],[f393,f11190])). 341.49/43.28 fof(f11263,plain,( 341.49/43.28 ~union(intersection(sk0_2,sk0_3),intersection(sk0_1,union(sk0_3,sk0_2)))=intersection(union(intersection(sk0_2,sk0_3),sk0_1),union(sk0_2,sk0_3))), 341.49/43.28 inference(backward_demodulation,[status(thm)],[f11191,f110])). 341.49/43.28 fof(f11264,plain,( 341.49/43.28 ~union(intersection(sk0_2,sk0_3),intersection(union(sk0_3,sk0_2),sk0_1))=intersection(union(intersection(sk0_2,sk0_3),sk0_1),union(sk0_2,sk0_3))), 341.49/43.28 inference(forward_demodulation,[status(thm)],[f83,f11263])). 341.49/43.28 fof(f11265,plain,( 341.49/43.28 ~union(intersection(union(sk0_3,sk0_2),sk0_1),intersection(sk0_2,sk0_3))=intersection(union(intersection(sk0_2,sk0_3),sk0_1),union(sk0_2,sk0_3))), 341.49/43.28 inference(forward_demodulation,[status(thm)],[f16,f11264])). 341.49/43.28 fof(f11266,plain,( 341.49/43.28 ~union(intersection(union(sk0_2,sk0_3),sk0_1),intersection(sk0_2,sk0_3))=intersection(union(intersection(sk0_2,sk0_3),sk0_1),union(sk0_2,sk0_3))), 341.49/43.28 inference(forward_demodulation,[status(thm)],[f5031,f11265])). 341.49/43.28 fof(f16170,plain,( 341.49/43.28 ![X0,X1,X2,X3]: (intersection(union(intersection(X0,X1),X2),union(X3,X1))=union(intersection(X0,X1),intersection(X2,union(X3,X1))))), 341.49/43.28 inference(paramodulation,[status(thm)],[f336,f74])). 341.49/43.28 fof(f16237,plain,( 341.49/43.28 ~union(intersection(union(sk0_2,sk0_3),sk0_1),intersection(sk0_2,sk0_3))=union(intersection(sk0_2,sk0_3),intersection(sk0_1,union(sk0_2,sk0_3)))), 341.49/43.28 inference(backward_demodulation,[status(thm)],[f16170,f11266])). 341.49/43.28 fof(f16238,plain,( 341.49/43.28 ~union(intersection(union(sk0_2,sk0_3),sk0_1),intersection(sk0_2,sk0_3))=union(intersection(sk0_2,sk0_3),intersection(union(sk0_2,sk0_3),sk0_1))), 341.49/43.28 inference(forward_demodulation,[status(thm)],[f83,f16237])). 341.49/43.28 fof(f16239,plain,( 341.49/43.28 ~union(intersection(union(sk0_2,sk0_3),sk0_1),intersection(sk0_2,sk0_3))=union(intersection(union(sk0_2,sk0_3),sk0_1),intersection(sk0_2,sk0_3))), 341.49/43.28 inference(forward_demodulation,[status(thm)],[f16,f16238])). 341.49/43.28 fof(f16240,plain,( 341.49/43.28 $false), 341.49/43.28 inference(trivial_equality_resolution,[status(esa)],[f16239])). 341.49/43.28 % SZS output end CNFRefutation for theBenchmark.p 343.58/44.47 % Elapsed time: 43.918015 seconds 343.58/44.47 % CPU time: 331.624519 seconds 343.58/44.47 % Memory used: 2.846 GB 343.58/44.48 EOF