0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 8 -t %s %d 0.12/0.34 % Computer : n020.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 02:56:50 EDT 2022 0.12/0.34 % CPUTime : 0.19/0.41 % (2020)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) 0.19/0.41 % (2019)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) 0.19/0.41 % (2021)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) 0.19/0.41 % (2017)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99973:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/99973Mi) 0.19/0.41 % (2024)lrs+4_1:1_flr=on:s2a=on:s2at=3.0:s2pl=on:sd=1:sos=on:ss=included:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/31Mi) 0.19/0.41 % (2020)First to succeed. 0.19/0.41 % (2024)Refutation not found, incomplete strategy% (2024)------------------------------ 0.19/0.41 % (2024)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.41 % (2024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.41 % (2024)Termination reason: Refutation not found, incomplete strategy 0.19/0.41 0.19/0.41 % (2024)Memory used [KB]: 5884 0.19/0.41 % (2024)Time elapsed: 0.004 s 0.19/0.41 % (2024)Instructions burned: 2 (million) 0.19/0.41 % (2024)------------------------------ 0.19/0.41 % (2024)------------------------------ 0.19/0.41 % (2020)Refutation found. Thanks to Tanya! 0.19/0.41 % SZS status Theorem for theBenchmark 0.19/0.41 % SZS output start Proof for theBenchmark 0.19/0.41 fof(f172,plain,( 0.19/0.41 $false), 0.19/0.41 inference(subsumption_resolution,[],[f165,f135])). 0.19/0.41 fof(f135,plain,( 0.19/0.41 ( ! [X2,X3,X0] : (~between_c(X0,X2,X3,X2)) )), 0.19/0.41 inference(equality_resolution,[],[f108])). 0.19/0.41 fof(f108,plain,( 0.19/0.41 ( ! [X2,X3,X0,X1] : (X1 != X2 | ~between_c(X0,X1,X3,X2)) )), 0.19/0.41 inference(cnf_transformation,[],[f65])). 0.19/0.41 fof(f65,plain,( 0.19/0.41 ! [X0,X1,X2,X3] : ((between_c(X0,X1,X3,X2) | X1 = X2 | ! [X4] : (~inner_point(X3,X4) | ~end_point(X2,X4) | ~end_point(X1,X4) | ~part_of(X4,X0))) & ((X1 != X2 & (inner_point(X3,sK4(X0,X1,X2,X3)) & end_point(X2,sK4(X0,X1,X2,X3)) & end_point(X1,sK4(X0,X1,X2,X3)) & part_of(sK4(X0,X1,X2,X3),X0))) | ~between_c(X0,X1,X3,X2)))), 0.19/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f63,f64])). 0.19/0.41 fof(f64,plain,( 0.19/0.41 ! [X0,X1,X2,X3] : (? [X5] : (inner_point(X3,X5) & end_point(X2,X5) & end_point(X1,X5) & part_of(X5,X0)) => (inner_point(X3,sK4(X0,X1,X2,X3)) & end_point(X2,sK4(X0,X1,X2,X3)) & end_point(X1,sK4(X0,X1,X2,X3)) & part_of(sK4(X0,X1,X2,X3),X0)))), 0.19/0.41 introduced(choice_axiom,[])). 0.19/0.41 fof(f63,plain,( 0.19/0.41 ! [X0,X1,X2,X3] : ((between_c(X0,X1,X3,X2) | X1 = X2 | ! [X4] : (~inner_point(X3,X4) | ~end_point(X2,X4) | ~end_point(X1,X4) | ~part_of(X4,X0))) & ((X1 != X2 & ? [X5] : (inner_point(X3,X5) & end_point(X2,X5) & end_point(X1,X5) & part_of(X5,X0))) | ~between_c(X0,X1,X3,X2)))), 0.19/0.41 inference(rectify,[],[f62])). 0.19/0.41 fof(f62,plain,( 0.19/0.41 ! [X2,X1,X0,X3] : ((between_c(X2,X1,X3,X0) | X0 = X1 | ! [X4] : (~inner_point(X3,X4) | ~end_point(X0,X4) | ~end_point(X1,X4) | ~part_of(X4,X2))) & ((X0 != X1 & ? [X4] : (inner_point(X3,X4) & end_point(X0,X4) & end_point(X1,X4) & part_of(X4,X2))) | ~between_c(X2,X1,X3,X0)))), 0.19/0.41 inference(flattening,[],[f61])). 0.19/0.41 fof(f61,plain,( 0.19/0.41 ! [X2,X1,X0,X3] : ((between_c(X2,X1,X3,X0) | (X0 = X1 | ! [X4] : (~inner_point(X3,X4) | ~end_point(X0,X4) | ~end_point(X1,X4) | ~part_of(X4,X2)))) & ((X0 != X1 & ? [X4] : (inner_point(X3,X4) & end_point(X0,X4) & end_point(X1,X4) & part_of(X4,X2))) | ~between_c(X2,X1,X3,X0)))), 0.19/0.41 inference(nnf_transformation,[],[f21])). 0.19/0.41 fof(f21,plain,( 0.19/0.41 ! [X2,X1,X0,X3] : (between_c(X2,X1,X3,X0) <=> (X0 != X1 & ? [X4] : (inner_point(X3,X4) & end_point(X0,X4) & end_point(X1,X4) & part_of(X4,X2))))), 0.19/0.41 inference(rectify,[],[f17])). 0.19/0.41 fof(f17,axiom,( 0.19/0.41 ! [X5,X2,X0,X4] : (between_c(X0,X2,X4,X5) <=> (X2 != X5 & ? [X7] : (part_of(X7,X0) & end_point(X5,X7) & inner_point(X4,X7) & end_point(X2,X7))))), 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn)). 0.19/0.41 fof(f165,plain,( 0.19/0.41 between_c(sK14,sK12,sK13,sK12)), 0.19/0.41 inference(backward_demodulation,[],[f134,f163])). 0.19/0.41 fof(f163,plain,( 0.19/0.41 sK15 = sK12), 0.19/0.41 inference(subsumption_resolution,[],[f162,f140])). 0.19/0.41 fof(f140,plain,( 0.19/0.41 end_point(sK12,sK4(sK14,sK12,sK15,sK13))), 0.19/0.41 inference(resolution,[],[f134,f105])). 0.19/0.41 fof(f105,plain,( 0.19/0.41 ( ! [X2,X3,X0,X1] : (~between_c(X0,X1,X3,X2) | end_point(X1,sK4(X0,X1,X2,X3))) )), 0.19/0.41 inference(cnf_transformation,[],[f65])). 0.19/0.41 fof(f162,plain,( 0.19/0.41 ~end_point(sK12,sK4(sK14,sK12,sK15,sK13)) | sK15 = sK12), 0.19/0.42 inference(subsumption_resolution,[],[f161,f142])). 0.19/0.42 fof(f142,plain,( 0.19/0.42 part_of(sK4(sK14,sK12,sK15,sK13),sK14)), 0.19/0.42 inference(resolution,[],[f134,f104])). 0.19/0.42 fof(f104,plain,( 0.19/0.42 ( ! [X2,X3,X0,X1] : (~between_c(X0,X1,X3,X2) | part_of(sK4(X0,X1,X2,X3),X0)) )), 0.19/0.42 inference(cnf_transformation,[],[f65])). 0.19/0.42 fof(f161,plain,( 0.19/0.42 ~part_of(sK4(sK14,sK12,sK15,sK13),sK14) | ~end_point(sK12,sK4(sK14,sK12,sK15,sK13)) | sK15 = sK12), 0.19/0.42 inference(subsumption_resolution,[],[f159,f143])). 0.19/0.42 fof(f143,plain,( 0.19/0.42 end_point(sK15,sK4(sK14,sK12,sK15,sK13))), 0.19/0.42 inference(resolution,[],[f134,f106])). 0.19/0.42 fof(f106,plain,( 0.19/0.42 ( ! [X2,X3,X0,X1] : (~between_c(X0,X1,X3,X2) | end_point(X2,sK4(X0,X1,X2,X3))) )), 0.19/0.42 inference(cnf_transformation,[],[f65])). 0.19/0.42 fof(f159,plain,( 0.19/0.42 ~end_point(sK15,sK4(sK14,sK12,sK15,sK13)) | sK15 = sK12 | ~part_of(sK4(sK14,sK12,sK15,sK13),sK14) | ~end_point(sK12,sK4(sK14,sK12,sK15,sK13))), 0.19/0.42 inference(resolution,[],[f139,f141])). 0.19/0.42 fof(f141,plain,( 0.19/0.42 inner_point(sK13,sK4(sK14,sK12,sK15,sK13))), 0.19/0.42 inference(resolution,[],[f134,f107])). 0.19/0.42 fof(f107,plain,( 0.19/0.42 ( ! [X2,X3,X0,X1] : (~between_c(X0,X1,X3,X2) | inner_point(X3,sK4(X0,X1,X2,X3))) )), 0.19/0.42 inference(cnf_transformation,[],[f65])). 0.19/0.42 fof(f139,plain,( 0.19/0.42 ( ! [X0] : (~inner_point(sK13,X0) | ~end_point(sK12,X0) | ~part_of(X0,sK14) | ~end_point(sK15,X0) | sK15 = sK12) )), 0.19/0.42 inference(resolution,[],[f133,f109])). 0.19/0.42 fof(f109,plain,( 0.19/0.42 ( ! [X2,X3,X0,X1,X4] : (between_c(X0,X1,X3,X2) | ~end_point(X2,X4) | X1 = X2 | ~end_point(X1,X4) | ~part_of(X4,X0) | ~inner_point(X3,X4)) )), 0.19/0.42 inference(cnf_transformation,[],[f65])). 0.19/0.42 fof(f133,plain,( 0.19/0.42 ~between_c(sK14,sK15,sK13,sK12)), 0.19/0.42 inference(cnf_transformation,[],[f89])). 0.19/0.42 fof(f89,plain,( 0.19/0.42 between_c(sK14,sK12,sK13,sK15) & ~between_c(sK14,sK15,sK13,sK12)), 0.19/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15])],[f87,f88])). 0.19/0.42 fof(f88,plain,( 0.19/0.42 ? [X0,X1,X2,X3] : (between_c(X2,X0,X1,X3) & ~between_c(X2,X3,X1,X0)) => (between_c(sK14,sK12,sK13,sK15) & ~between_c(sK14,sK15,sK13,sK12))), 0.19/0.42 introduced(choice_axiom,[])). 0.19/0.42 fof(f87,plain,( 0.19/0.42 ? [X0,X1,X2,X3] : (between_c(X2,X0,X1,X3) & ~between_c(X2,X3,X1,X0))), 0.19/0.42 inference(rectify,[],[f38])). 0.19/0.42 fof(f38,plain,( 0.19/0.42 ? [X2,X0,X1,X3] : (between_c(X1,X2,X0,X3) & ~between_c(X1,X3,X0,X2))), 0.19/0.42 inference(ennf_transformation,[],[f20])). 0.19/0.42 fof(f20,plain,( 0.19/0.42 ~! [X2,X3,X1,X0] : (between_c(X1,X2,X0,X3) => between_c(X1,X3,X0,X2))), 0.19/0.42 inference(rectify,[],[f19])). 0.19/0.42 fof(f19,negated_conjecture,( 0.19/0.42 ~! [X4,X0,X2,X5] : (between_c(X0,X2,X4,X5) => between_c(X0,X5,X4,X2))), 0.19/0.42 inference(negated_conjecture,[],[f18])). 0.19/0.42 fof(f18,conjecture,( 0.19/0.42 ! [X4,X0,X2,X5] : (between_c(X0,X2,X4,X5) => between_c(X0,X5,X4,X2))), 0.19/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_2)). 0.19/0.42 fof(f134,plain,( 0.19/0.42 between_c(sK14,sK12,sK13,sK15)), 0.19/0.42 inference(cnf_transformation,[],[f89])). 0.19/0.42 % SZS output end Proof for theBenchmark 0.19/0.42 % (2020)------------------------------ 0.19/0.42 % (2020)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.42 % (2020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.42 % (2020)Termination reason: Refutation 0.19/0.42 0.19/0.42 % (2020)Memory used [KB]: 1535 0.19/0.42 % (2020)Time elapsed: 0.007 s 0.19/0.42 % (2020)Instructions burned: 5 (million) 0.19/0.42 % (2020)------------------------------ 0.19/0.42 % (2020)------------------------------ 0.19/0.42 % (2016)Success in time 0.066 s 0.19/0.42 EOF