0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : vampire --mode casc -t %d %s 0.12/0.33 % Computer : n013.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 % DateTime : Thu Jul 2 07:17:04 EDT 2020 0.12/0.34 % CPUTime : 0.12/0.41 % lrs-11_12_av=off:nm=32:nwc=1.3:stl=30:sd=3:ss=axioms:sos=all_2 on theBenchmark 0.12/0.41 % Refutation found. Thanks to Tanya! 0.12/0.41 % SZS status Theorem for theBenchmark 0.12/0.41 % SZS output start Proof for theBenchmark 0.12/0.41 fof(f155,plain,( 0.12/0.41 $false), 0.12/0.41 inference(subsumption_resolution,[],[f154,f113])). 0.12/0.41 fof(f113,plain,( 0.12/0.41 sK0 != sK1), 0.12/0.41 inference(backward_demodulation,[],[f110,f59])). 0.12/0.41 fof(f59,plain,( 0.12/0.41 sK1 != sK2), 0.12/0.41 inference(cnf_transformation,[],[f51])). 0.12/0.41 fof(f51,plain,( 0.12/0.41 sK1 != sK2 & unordered_pair(sK0,sK1) = unordered_pair(sK0,sK2) & member(sK2,universal_class) & member(sK1,universal_class)), 0.12/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f49,f50])). 0.12/0.41 fof(f50,plain,( 0.12/0.41 ? [X0,X1,X2] : (X1 != X2 & unordered_pair(X0,X1) = unordered_pair(X0,X2) & member(X2,universal_class) & member(X1,universal_class)) => (sK1 != sK2 & unordered_pair(sK0,sK1) = unordered_pair(sK0,sK2) & member(sK2,universal_class) & member(sK1,universal_class))), 0.12/0.41 introduced(choice_axiom,[])). 0.12/0.41 fof(f49,plain,( 0.12/0.41 ? [X0,X1,X2] : (X1 != X2 & unordered_pair(X0,X1) = unordered_pair(X0,X2) & member(X2,universal_class) & member(X1,universal_class))), 0.12/0.41 inference(flattening,[],[f48])). 0.12/0.41 fof(f48,plain,( 0.12/0.41 ? [X0,X1,X2] : (X1 != X2 & (unordered_pair(X0,X1) = unordered_pair(X0,X2) & member(X2,universal_class) & member(X1,universal_class)))), 0.12/0.41 inference(ennf_transformation,[],[f45])). 0.12/0.41 fof(f45,negated_conjecture,( 0.12/0.41 ~! [X0,X1,X2] : ((unordered_pair(X0,X1) = unordered_pair(X0,X2) & member(X2,universal_class) & member(X1,universal_class)) => X1 = X2)), 0.12/0.41 inference(negated_conjecture,[],[f44])). 0.12/0.41 fof(f44,conjecture,( 0.12/0.41 ! [X0,X1,X2] : ((unordered_pair(X0,X1) = unordered_pair(X0,X2) & member(X2,universal_class) & member(X1,universal_class)) => X1 = X2)), 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_cancellation)). 0.12/0.41 fof(f110,plain,( 0.12/0.41 sK0 = sK2), 0.12/0.41 inference(subsumption_resolution,[],[f106,f59])). 0.12/0.41 fof(f106,plain,( 0.12/0.41 sK0 = sK2 | sK1 = sK2), 0.12/0.41 inference(resolution,[],[f100,f60])). 0.12/0.41 fof(f60,plain,( 0.12/0.41 ( ! [X2,X0,X1] : (X0 = X1 | X0 = X2 | ~member(X0,unordered_pair(X1,X2))) )), 0.12/0.41 inference(cnf_transformation,[],[f53])). 0.12/0.41 fof(f53,plain,( 0.12/0.41 ! [X0,X1,X2] : ((member(X0,unordered_pair(X1,X2)) | ~member(X0,universal_class) | (X0 != X1 & X0 != X2)) & ((member(X0,universal_class) & (X0 = X1 | X0 = X2)) | ~member(X0,unordered_pair(X1,X2))))), 0.12/0.41 inference(flattening,[],[f52])). 0.12/0.41 fof(f52,plain,( 0.12/0.41 ! [X0,X1,X2] : ((member(X0,unordered_pair(X1,X2)) | (~member(X0,universal_class) | (X0 != X1 & X0 != X2))) & ((member(X0,universal_class) & (X0 = X1 | X0 = X2)) | ~member(X0,unordered_pair(X1,X2))))), 0.12/0.41 inference(nnf_transformation,[],[f46])). 0.12/0.41 fof(f46,plain,( 0.12/0.41 ! [X0,X1,X2] : (member(X0,unordered_pair(X1,X2)) <=> (member(X0,universal_class) & (X0 = X1 | X0 = X2)))), 0.12/0.41 inference(rectify,[],[f21])). 0.12/0.41 fof(f21,axiom,( 0.12/0.41 ! [X3,X0,X1] : (member(X3,unordered_pair(X0,X1)) <=> (member(X3,universal_class) & (X0 = X3 | X1 = X3)))), 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn)). 0.12/0.41 fof(f100,plain,( 0.12/0.41 member(sK2,unordered_pair(sK0,sK1))), 0.12/0.41 inference(superposition,[],[f80,f58])). 0.12/0.41 fof(f58,plain,( 0.12/0.41 unordered_pair(sK0,sK1) = unordered_pair(sK0,sK2)), 0.12/0.41 inference(cnf_transformation,[],[f51])). 0.12/0.41 fof(f80,plain,( 0.12/0.41 ( ! [X0] : (member(sK2,unordered_pair(X0,sK2))) )), 0.12/0.41 inference(resolution,[],[f57,f75])). 0.12/0.41 fof(f75,plain,( 0.12/0.41 ( ! [X2,X1] : (member(X2,unordered_pair(X1,X2)) | ~member(X2,universal_class)) )), 0.12/0.41 inference(equality_resolution,[],[f62])). 0.12/0.41 fof(f62,plain,( 0.12/0.41 ( ! [X2,X0,X1] : (member(X0,unordered_pair(X1,X2)) | ~member(X0,universal_class) | X0 != X2) )), 0.12/0.41 inference(cnf_transformation,[],[f53])). 0.12/0.41 fof(f57,plain,( 0.12/0.41 member(sK2,universal_class)), 0.12/0.41 inference(cnf_transformation,[],[f51])). 0.12/0.41 fof(f154,plain,( 0.12/0.41 sK0 = sK1), 0.12/0.41 inference(duplicate_literal_removal,[],[f150])). 0.12/0.41 fof(f150,plain,( 0.12/0.41 sK0 = sK1 | sK0 = sK1), 0.12/0.41 inference(resolution,[],[f144,f60])). 0.12/0.41 fof(f144,plain,( 0.12/0.41 member(sK1,unordered_pair(sK0,sK0))), 0.12/0.41 inference(superposition,[],[f76,f112])). 0.12/0.41 fof(f112,plain,( 0.12/0.41 unordered_pair(sK0,sK0) = unordered_pair(sK0,sK1)), 0.12/0.41 inference(backward_demodulation,[],[f110,f58])). 0.12/0.41 fof(f76,plain,( 0.12/0.41 ( ! [X0] : (member(sK1,unordered_pair(X0,sK1))) )), 0.12/0.41 inference(resolution,[],[f56,f75])). 0.12/0.41 fof(f56,plain,( 0.12/0.41 member(sK1,universal_class)), 0.12/0.41 inference(cnf_transformation,[],[f51])). 0.12/0.41 % SZS output end Proof for theBenchmark 0.12/0.41 % ------------------------------ 0.12/0.41 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.12/0.41 % Termination reason: Refutation 0.12/0.41 0.12/0.41 % Memory used [KB]: 767 0.12/0.41 % Time elapsed: 0.005 s 0.12/0.41 % ------------------------------ 0.12/0.41 % ------------------------------ 0.19/0.41 % Success in time 0.074 s 0.19/0.42 EOF