0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 8 -t %s %d 0.13/0.33 % Computer : n027.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Tue Aug 9 03:19:36 EDT 2022 0.13/0.33 % CPUTime : 0.13/0.37 % (19515)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99973:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/99973Mi) 0.19/0.40 % (19516)lrs+1011_1:1_sd=3:sgt=10:ss=included:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/49Mi) 0.19/0.40 % (19518)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=18:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/18Mi) 0.19/0.40 % (19519)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/42Mi) 0.19/0.40 % (19517)dis+1003_1:1_aac=none:amm=off:ep=R:erd=off:newcnf=on:sac=on:skr=on:sos=all:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/31Mi) 0.19/0.40 % (19518)First to succeed. 0.19/0.40 % (19521)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=27:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/27Mi) 0.19/0.40 % (19518)Refutation found. Thanks to Tanya! 0.19/0.40 % SZS status Theorem for theBenchmark 0.19/0.40 % SZS output start Proof for theBenchmark 0.19/0.40 fof(f123,plain,( 0.19/0.40 $false), 0.19/0.40 inference(subsumption_resolution,[],[f119,f88])). 0.19/0.40 fof(f88,plain,( 0.19/0.40 member(sK1,sK2)), 0.19/0.40 inference(cnf_transformation,[],[f70])). 0.19/0.40 fof(f70,plain,( 0.19/0.40 ~subclass(unordered_pair(sK1,sK3),sK2) & member(sK3,sK2) & member(sK1,sK2)), 0.19/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f68,f69])). 0.19/0.40 fof(f69,plain,( 0.19/0.40 ? [X0,X1,X2] : (~subclass(unordered_pair(X0,X2),X1) & member(X2,X1) & member(X0,X1)) => (~subclass(unordered_pair(sK1,sK3),sK2) & member(sK3,sK2) & member(sK1,sK2))), 0.19/0.40 introduced(choice_axiom,[])). 0.19/0.40 fof(f68,plain,( 0.19/0.40 ? [X0,X1,X2] : (~subclass(unordered_pair(X0,X2),X1) & member(X2,X1) & member(X0,X1))), 0.19/0.40 inference(rectify,[],[f54])). 0.19/0.40 fof(f54,plain,( 0.19/0.40 ? [X1,X0,X2] : (~subclass(unordered_pair(X1,X2),X0) & member(X2,X0) & member(X1,X0))), 0.19/0.40 inference(flattening,[],[f53])). 0.19/0.40 fof(f53,plain,( 0.19/0.40 ? [X2,X0,X1] : (~subclass(unordered_pair(X1,X2),X0) & (member(X2,X0) & member(X1,X0)))), 0.19/0.41 inference(ennf_transformation,[],[f46])). 0.19/0.41 fof(f46,plain,( 0.19/0.41 ~! [X2,X0,X1] : ((member(X2,X0) & member(X1,X0)) => subclass(unordered_pair(X1,X2),X0))), 0.19/0.41 inference(rectify,[],[f45])). 0.19/0.41 fof(f45,negated_conjecture,( 0.19/0.41 ~! [X2,X0,X1] : ((member(X1,X2) & member(X0,X2)) => subclass(unordered_pair(X0,X1),X2))), 0.19/0.41 inference(negated_conjecture,[],[f44])). 0.19/0.41 fof(f44,conjecture,( 0.19/0.41 ! [X2,X0,X1] : ((member(X1,X2) & member(X0,X2)) => subclass(unordered_pair(X0,X1),X2))), 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_is_subset)). 0.19/0.41 fof(f119,plain,( 0.19/0.41 ~member(sK1,sK2)), 0.19/0.41 inference(backward_demodulation,[],[f102,f117])). 0.19/0.41 fof(f117,plain,( 0.19/0.41 sK1 = sK0(unordered_pair(sK1,sK3),sK2)), 0.19/0.41 inference(subsumption_resolution,[],[f115,f89])). 0.19/0.41 fof(f89,plain,( 0.19/0.41 member(sK3,sK2)), 0.19/0.41 inference(cnf_transformation,[],[f70])). 0.19/0.41 fof(f115,plain,( 0.19/0.41 ~member(sK3,sK2) | sK1 = sK0(unordered_pair(sK1,sK3),sK2)), 0.19/0.41 inference(superposition,[],[f102,f104])). 0.19/0.41 fof(f104,plain,( 0.19/0.41 sK0(unordered_pair(sK1,sK3),sK2) = sK3 | sK1 = sK0(unordered_pair(sK1,sK3),sK2)), 0.19/0.41 inference(resolution,[],[f101,f82])). 0.19/0.41 fof(f82,plain,( 0.19/0.41 ( ! [X2,X0,X1] : (~member(X2,unordered_pair(X1,X0)) | X0 = X2 | X1 = X2) )), 0.19/0.41 inference(cnf_transformation,[],[f64])). 0.19/0.41 fof(f64,plain,( 0.19/0.41 ! [X0,X1,X2] : ((((X0 = X2 | X1 = X2) & member(X2,universal_class)) | ~member(X2,unordered_pair(X1,X0))) & (member(X2,unordered_pair(X1,X0)) | (X0 != X2 & X1 != X2) | ~member(X2,universal_class)))), 0.19/0.41 inference(rectify,[],[f63])). 0.19/0.41 fof(f63,plain,( 0.19/0.41 ! [X0,X2,X1] : ((((X0 = X1 | X1 = X2) & member(X1,universal_class)) | ~member(X1,unordered_pair(X2,X0))) & (member(X1,unordered_pair(X2,X0)) | (X0 != X1 & X1 != X2) | ~member(X1,universal_class)))), 0.19/0.41 inference(flattening,[],[f62])). 0.19/0.41 fof(f62,plain,( 0.19/0.41 ! [X0,X2,X1] : ((((X0 = X1 | X1 = X2) & member(X1,universal_class)) | ~member(X1,unordered_pair(X2,X0))) & (member(X1,unordered_pair(X2,X0)) | ((X0 != X1 & X1 != X2) | ~member(X1,universal_class))))), 0.19/0.41 inference(nnf_transformation,[],[f49])). 0.19/0.41 fof(f49,plain,( 0.19/0.41 ! [X0,X2,X1] : (((X0 = X1 | X1 = X2) & member(X1,universal_class)) <=> member(X1,unordered_pair(X2,X0)))), 0.19/0.41 inference(rectify,[],[f28])). 0.19/0.41 fof(f28,axiom,( 0.19/0.41 ! [X1,X3,X0] : ((member(X3,universal_class) & (X1 = X3 | X0 = X3)) <=> member(X3,unordered_pair(X0,X1)))), 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn)). 0.19/0.41 fof(f101,plain,( 0.19/0.41 member(sK0(unordered_pair(sK1,sK3),sK2),unordered_pair(sK1,sK3))), 0.19/0.41 inference(resolution,[],[f90,f77])). 0.19/0.41 fof(f77,plain,( 0.19/0.41 ( ! [X0,X1] : (subclass(X0,X1) | member(sK0(X0,X1),X0)) )), 0.19/0.41 inference(cnf_transformation,[],[f61])). 0.19/0.41 fof(f61,plain,( 0.19/0.41 ! [X0,X1] : ((subclass(X0,X1) | (~member(sK0(X0,X1),X1) & member(sK0(X0,X1),X0))) & (! [X3] : (member(X3,X1) | ~member(X3,X0)) | ~subclass(X0,X1)))), 0.19/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f59,f60])). 0.19/0.41 fof(f60,plain,( 0.19/0.41 ! [X0,X1] : (? [X2] : (~member(X2,X1) & member(X2,X0)) => (~member(sK0(X0,X1),X1) & member(sK0(X0,X1),X0)))), 0.19/0.41 introduced(choice_axiom,[])). 0.19/0.41 fof(f59,plain,( 0.19/0.41 ! [X0,X1] : ((subclass(X0,X1) | ? [X2] : (~member(X2,X1) & member(X2,X0))) & (! [X3] : (member(X3,X1) | ~member(X3,X0)) | ~subclass(X0,X1)))), 0.19/0.41 inference(rectify,[],[f58])). 0.19/0.41 fof(f58,plain,( 0.19/0.41 ! [X1,X0] : ((subclass(X1,X0) | ? [X2] : (~member(X2,X0) & member(X2,X1))) & (! [X2] : (member(X2,X0) | ~member(X2,X1)) | ~subclass(X1,X0)))), 0.19/0.41 inference(nnf_transformation,[],[f55])). 0.19/0.41 fof(f55,plain,( 0.19/0.41 ! [X1,X0] : (subclass(X1,X0) <=> ! [X2] : (member(X2,X0) | ~member(X2,X1)))), 0.19/0.41 inference(ennf_transformation,[],[f48])). 0.19/0.41 fof(f48,plain,( 0.19/0.41 ! [X0,X1] : (! [X2] : (member(X2,X1) => member(X2,X0)) <=> subclass(X1,X0))), 0.19/0.41 inference(rectify,[],[f23])). 0.19/0.41 fof(f23,axiom,( 0.19/0.41 ! [X1,X0] : (! [X3] : (member(X3,X0) => member(X3,X1)) <=> subclass(X0,X1))), 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_defn)). 0.19/0.41 fof(f90,plain,( 0.19/0.41 ~subclass(unordered_pair(sK1,sK3),sK2)), 0.19/0.41 inference(cnf_transformation,[],[f70])). 0.19/0.41 fof(f102,plain,( 0.19/0.41 ~member(sK0(unordered_pair(sK1,sK3),sK2),sK2)), 0.19/0.41 inference(resolution,[],[f90,f78])). 0.19/0.41 fof(f78,plain,( 0.19/0.41 ( ! [X0,X1] : (subclass(X0,X1) | ~member(sK0(X0,X1),X1)) )), 0.19/0.41 inference(cnf_transformation,[],[f61])). 0.19/0.41 % SZS output end Proof for theBenchmark 0.19/0.41 % (19518)------------------------------ 0.19/0.41 % (19518)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.41 % (19518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.41 % (19518)Termination reason: Refutation 0.19/0.41 0.19/0.41 % (19518)Memory used [KB]: 1407 0.19/0.41 % (19518)Time elapsed: 0.006 s 0.19/0.41 % (19518)Instructions burned: 3 (million) 0.19/0.41 % (19518)------------------------------ 0.19/0.41 % (19518)------------------------------ 0.19/0.41 % (19514)Success in time 0.067 s 0.19/0.41 EOF