0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : vampire --mode casc -t %d %s 0.13/0.34 % Computer : n004.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % DateTime : Thu Jul 2 07:47:43 EDT 2020 0.13/0.34 % CPUTime : 0.19/0.41 % lrs-11_12_av=off:nm=32:nwc=1.3:stl=30:sd=3:ss=axioms:sos=all_2 on theBenchmark 0.19/0.46 % Refutation found. Thanks to Tanya! 0.19/0.46 % SZS status Theorem for theBenchmark 0.19/0.46 % SZS output start Proof for theBenchmark 0.19/0.46 fof(f1123,plain,( 0.19/0.46 $false), 0.19/0.46 inference(subsumption_resolution,[],[f1122,f439])). 0.19/0.46 fof(f439,plain,( 0.19/0.46 ~incident_c(sK7(sK2,sum(sK0,sK1)),sK0)), 0.19/0.46 inference(resolution,[],[f174,f116])). 0.19/0.46 fof(f116,plain,( 0.19/0.46 ( ! [X4] : (incident_c(X4,sK2) | ~incident_c(X4,sK0)) )), 0.19/0.46 inference(resolution,[],[f72,f91])). 0.19/0.46 fof(f91,plain,( 0.19/0.46 ( ! [X2,X0,X1] : (incident_c(X2,X0) | ~incident_c(X2,X1) | ~part_of(X1,X0)) )), 0.19/0.46 inference(cnf_transformation,[],[f59])). 0.19/0.46 fof(f59,plain,( 0.19/0.46 ! [X0,X1] : ((! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) | ~part_of(X1,X0)) & (part_of(X1,X0) | (~incident_c(sK7(X0,X1),X0) & incident_c(sK7(X0,X1),X1))))), 0.19/0.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f57,f58])). 0.19/0.46 fof(f58,plain,( 0.19/0.46 ! [X1,X0] : (? [X3] : (~incident_c(X3,X0) & incident_c(X3,X1)) => (~incident_c(sK7(X0,X1),X0) & incident_c(sK7(X0,X1),X1)))), 0.19/0.46 introduced(choice_axiom,[])). 0.19/0.46 fof(f57,plain,( 0.19/0.46 ! [X0,X1] : ((! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) | ~part_of(X1,X0)) & (part_of(X1,X0) | ? [X3] : (~incident_c(X3,X0) & incident_c(X3,X1))))), 0.19/0.46 inference(rectify,[],[f56])). 0.19/0.46 fof(f56,plain,( 0.19/0.46 ! [X0,X1] : ((! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) | ~part_of(X1,X0)) & (part_of(X1,X0) | ? [X2] : (~incident_c(X2,X0) & incident_c(X2,X1))))), 0.19/0.46 inference(nnf_transformation,[],[f34])). 0.19/0.46 fof(f34,plain,( 0.19/0.46 ! [X0,X1] : (! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) <=> part_of(X1,X0))), 0.19/0.46 inference(ennf_transformation,[],[f12])). 0.19/0.46 fof(f12,axiom,( 0.19/0.46 ! [X0,X1] : (! [X2] : (incident_c(X2,X1) => incident_c(X2,X0)) <=> part_of(X1,X0))), 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn)). 0.19/0.46 fof(f72,plain,( 0.19/0.46 part_of(sK0,sK2)), 0.19/0.46 inference(cnf_transformation,[],[f42])). 0.19/0.46 fof(f42,plain,( 0.19/0.46 ~part_of(sum(sK0,sK1),sK2) & part_of(sK0,sK2) & meet(sK3,sK0,sK1) & part_of(sK1,sK2)), 0.19/0.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f28,f41])). 0.19/0.46 fof(f41,plain,( 0.19/0.46 ? [X0,X1,X2,X3] : (~part_of(sum(X0,X1),X2) & part_of(X0,X2) & meet(X3,X0,X1) & part_of(X1,X2)) => (~part_of(sum(sK0,sK1),sK2) & part_of(sK0,sK2) & meet(sK3,sK0,sK1) & part_of(sK1,sK2))), 0.19/0.46 introduced(choice_axiom,[])). 0.19/0.46 fof(f28,plain,( 0.19/0.46 ? [X0,X1,X2,X3] : (~part_of(sum(X0,X1),X2) & part_of(X0,X2) & meet(X3,X0,X1) & part_of(X1,X2))), 0.19/0.46 inference(flattening,[],[f27])). 0.19/0.46 fof(f27,plain,( 0.19/0.46 ? [X0,X1,X2,X3] : (~part_of(sum(X0,X1),X2) & (part_of(X0,X2) & meet(X3,X0,X1) & part_of(X1,X2)))), 0.19/0.46 inference(ennf_transformation,[],[f19])). 0.19/0.46 fof(f19,plain,( 0.19/0.46 ~! [X0,X1,X2,X3] : ((part_of(X0,X2) & meet(X3,X0,X1) & part_of(X1,X2)) => part_of(sum(X0,X1),X2))), 0.19/0.46 inference(rectify,[],[f18])). 0.19/0.46 fof(f18,negated_conjecture,( 0.19/0.46 ~! [X1,X4,X5,X2] : ((part_of(X1,X5) & meet(X2,X1,X4) & part_of(X4,X5)) => part_of(sum(X1,X4),X5))), 0.19/0.46 inference(negated_conjecture,[],[f17])). 0.19/0.46 fof(f17,conjecture,( 0.19/0.46 ! [X1,X4,X5,X2] : ((part_of(X1,X5) & meet(X2,X1,X4) & part_of(X4,X5)) => part_of(sum(X1,X4),X5))), 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_6_2)). 0.19/0.46 fof(f174,plain,( 0.19/0.46 ~incident_c(sK7(sK2,sum(sK0,sK1)),sK2)), 0.19/0.46 inference(resolution,[],[f73,f90])). 0.19/0.46 fof(f90,plain,( 0.19/0.46 ( ! [X0,X1] : (part_of(X1,X0) | ~incident_c(sK7(X0,X1),X0)) )), 0.19/0.46 inference(cnf_transformation,[],[f59])). 0.19/0.46 fof(f73,plain,( 0.19/0.46 ~part_of(sum(sK0,sK1),sK2)), 0.19/0.46 inference(cnf_transformation,[],[f42])). 0.19/0.46 fof(f1122,plain,( 0.19/0.46 incident_c(sK7(sK2,sum(sK0,sK1)),sK0)), 0.19/0.46 inference(subsumption_resolution,[],[f1097,f440])). 0.19/0.46 fof(f440,plain,( 0.19/0.46 ~incident_c(sK7(sK2,sum(sK0,sK1)),sK1)), 0.19/0.46 inference(resolution,[],[f174,f110])). 0.19/0.46 fof(f110,plain,( 0.19/0.46 ( ! [X4] : (incident_c(X4,sK2) | ~incident_c(X4,sK1)) )), 0.19/0.46 inference(resolution,[],[f70,f91])). 0.19/0.46 fof(f70,plain,( 0.19/0.46 part_of(sK1,sK2)), 0.19/0.46 inference(cnf_transformation,[],[f42])). 0.19/0.46 fof(f1097,plain,( 0.19/0.46 incident_c(sK7(sK2,sum(sK0,sK1)),sK1) | incident_c(sK7(sK2,sum(sK0,sK1)),sK0)), 0.19/0.46 inference(resolution,[],[f173,f105])). 0.19/0.46 fof(f105,plain,( 0.19/0.46 ( ! [X2,X3,X1] : (incident_c(X3,X2) | incident_c(X3,X1) | ~incident_c(X3,sum(X1,X2))) )), 0.19/0.46 inference(equality_resolution,[],[f79])). 0.19/0.46 fof(f79,plain,( 0.19/0.46 ( ! [X2,X0,X3,X1] : (incident_c(X3,X2) | incident_c(X3,X1) | ~incident_c(X3,X0) | sum(X1,X2) != X0) )), 0.19/0.46 inference(cnf_transformation,[],[f47])). 0.19/0.46 fof(f47,plain,( 0.19/0.46 ! [X0,X1,X2] : ((! [X3] : ((incident_c(X3,X2) | incident_c(X3,X1) | ~incident_c(X3,X0)) & (incident_c(X3,X0) | (~incident_c(X3,X2) & ~incident_c(X3,X1)))) | sum(X1,X2) != X0) & (sum(X1,X2) = X0 | ((~incident_c(sK4(X0,X1,X2),X0) | (~incident_c(sK4(X0,X1,X2),X2) & ~incident_c(sK4(X0,X1,X2),X1))) & (incident_c(sK4(X0,X1,X2),X0) | incident_c(sK4(X0,X1,X2),X2) | incident_c(sK4(X0,X1,X2),X1)))))), 0.19/0.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f45,f46])). 0.19/0.46 fof(f46,plain,( 0.19/0.46 ! [X2,X1,X0] : (? [X4] : ((~incident_c(X4,X0) | (~incident_c(X4,X2) & ~incident_c(X4,X1))) & (incident_c(X4,X0) | incident_c(X4,X2) | incident_c(X4,X1))) => ((~incident_c(sK4(X0,X1,X2),X0) | (~incident_c(sK4(X0,X1,X2),X2) & ~incident_c(sK4(X0,X1,X2),X1))) & (incident_c(sK4(X0,X1,X2),X0) | incident_c(sK4(X0,X1,X2),X2) | incident_c(sK4(X0,X1,X2),X1))))), 0.19/0.46 introduced(choice_axiom,[])). 0.19/0.46 fof(f45,plain,( 0.19/0.46 ! [X0,X1,X2] : ((! [X3] : ((incident_c(X3,X2) | incident_c(X3,X1) | ~incident_c(X3,X0)) & (incident_c(X3,X0) | (~incident_c(X3,X2) & ~incident_c(X3,X1)))) | sum(X1,X2) != X0) & (sum(X1,X2) = X0 | ? [X4] : ((~incident_c(X4,X0) | (~incident_c(X4,X2) & ~incident_c(X4,X1))) & (incident_c(X4,X0) | incident_c(X4,X2) | incident_c(X4,X1)))))), 0.19/0.46 inference(rectify,[],[f44])). 0.19/0.46 fof(f44,plain,( 0.19/0.46 ! [X0,X1,X2] : ((! [X3] : ((incident_c(X3,X2) | incident_c(X3,X1) | ~incident_c(X3,X0)) & (incident_c(X3,X0) | (~incident_c(X3,X2) & ~incident_c(X3,X1)))) | sum(X1,X2) != X0) & (sum(X1,X2) = X0 | ? [X3] : ((~incident_c(X3,X0) | (~incident_c(X3,X2) & ~incident_c(X3,X1))) & (incident_c(X3,X0) | incident_c(X3,X2) | incident_c(X3,X1)))))), 0.19/0.46 inference(flattening,[],[f43])). 0.19/0.46 fof(f43,plain,( 0.19/0.46 ! [X0,X1,X2] : ((! [X3] : (((incident_c(X3,X2) | incident_c(X3,X1)) | ~incident_c(X3,X0)) & (incident_c(X3,X0) | (~incident_c(X3,X2) & ~incident_c(X3,X1)))) | sum(X1,X2) != X0) & (sum(X1,X2) = X0 | ? [X3] : ((~incident_c(X3,X0) | (~incident_c(X3,X2) & ~incident_c(X3,X1))) & (incident_c(X3,X0) | (incident_c(X3,X2) | incident_c(X3,X1))))))), 0.19/0.46 inference(nnf_transformation,[],[f20])). 0.19/0.46 fof(f20,plain,( 0.19/0.46 ! [X0,X1,X2] : (! [X3] : ((incident_c(X3,X2) | incident_c(X3,X1)) <=> incident_c(X3,X0)) <=> sum(X1,X2) = X0)), 0.19/0.46 inference(rectify,[],[f13])). 0.19/0.46 fof(f13,axiom,( 0.19/0.46 ! [X0,X1,X4] : (! [X3] : ((incident_c(X3,X4) | incident_c(X3,X1)) <=> incident_c(X3,X0)) <=> sum(X1,X4) = X0)), 0.19/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn)). 0.19/0.46 fof(f173,plain,( 0.19/0.46 incident_c(sK7(sK2,sum(sK0,sK1)),sum(sK0,sK1))), 0.19/0.46 inference(resolution,[],[f73,f89])). 0.19/0.46 fof(f89,plain,( 0.19/0.46 ( ! [X0,X1] : (part_of(X1,X0) | incident_c(sK7(X0,X1),X1)) )), 0.19/0.46 inference(cnf_transformation,[],[f59])). 0.19/0.46 % SZS output end Proof for theBenchmark 0.19/0.46 % ------------------------------ 0.19/0.46 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.19/0.46 % Termination reason: Refutation 0.19/0.46 0.19/0.46 % Memory used [KB]: 1663 0.19/0.46 % Time elapsed: 0.055 s 0.19/0.46 % ------------------------------ 0.19/0.46 % ------------------------------ 0.19/0.46 % Success in time 0.114 s 0.19/0.46 EOF