0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.11 % Command : vampire --mode casc -t %d %s 0.10/0.31 % Computer : n011.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % DateTime : Thu Jul 2 08:57:01 EDT 2020 0.10/0.31 % CPUTime : 0.16/0.35 % lrs-11_12_av=off:nm=32:nwc=1.3:stl=30:sd=3:ss=axioms:sos=all_2 on theBenchmark 0.68/0.85 % Time limit reached! 0.68/0.85 % ------------------------------ 0.68/0.85 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.68/0.85 % Termination reason: Time limit 0.68/0.85 % Termination phase: Saturation 0.68/0.85 0.68/0.85 % Memory used [KB]: 4605 0.68/0.85 % Time elapsed: 0.500 s 0.68/0.85 % ------------------------------ 0.68/0.85 % ------------------------------ 0.68/0.92 % lrs+2_3:1_add=large:afr=on:afp=10000:afq=1.1:amm=off:anc=none:er=known:fde=unused:gs=on:gsaa=from_current:gsem=on:lma=on:nm=32:newcnf=on:nwc=4:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sac=on:sp=occurrence:updr=off_2 on theBenchmark 1.21/1.41 % Time limit reached! 1.21/1.41 % ------------------------------ 1.21/1.41 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.21/1.41 % Termination reason: Time limit 1.21/1.41 % Termination phase: Saturation 1.21/1.41 1.21/1.41 % Memory used [KB]: 19317 1.21/1.41 % Time elapsed: 0.500 s 1.21/1.41 % ------------------------------ 1.21/1.41 % ------------------------------ 1.26/1.48 % dis+2_2:1_aac=none:afp=100000:afq=1.1:amm=sco:anc=none:bsr=on:fsr=off:gs=on:gsem=on:lcm=reverse:lma=on:nm=64:nwc=1:sos=on_6 on theBenchmark 2.27/2.48 % Time limit reached! 2.27/2.48 % ------------------------------ 2.27/2.48 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.27/2.48 % Termination reason: Time limit 2.27/2.48 % Termination phase: Saturation 2.27/2.48 2.27/2.48 % Memory used [KB]: 34157 2.27/2.48 % Time elapsed: 1.0000 s 2.27/2.48 % ------------------------------ 2.27/2.48 % ------------------------------ 2.32/2.55 % dis+1011_24_add=large:afr=on:afp=4000:afq=1.0:anc=none:bs=unit_only:bce=on:cond=fast:gs=on:nm=32:nwc=2.5:nicw=on:sp=occurrence:updr=off_39 on theBenchmark 7.58/7.75 % Time limit reached! 7.58/7.75 % ------------------------------ 7.58/7.75 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 7.58/7.75 % Termination reason: Time limit 7.58/7.75 % Termination phase: Saturation 7.58/7.75 7.58/7.75 % Memory used [KB]: 62301 7.58/7.75 % Time elapsed: 5.200 s 7.58/7.75 % ------------------------------ 7.58/7.75 % ------------------------------ 7.61/7.82 % lrs+1011_5_add=large:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_10 on theBenchmark 8.14/8.34 % Refutation not found, incomplete strategy 8.14/8.34 % ------------------------------ 8.14/8.34 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 8.14/8.34 % Termination reason: Refutation not found, incomplete strategy 8.14/8.34 8.14/8.34 % Memory used [KB]: 11897 8.14/8.34 % Time elapsed: 0.516 s 8.14/8.34 % ------------------------------ 8.14/8.34 % ------------------------------ 8.20/8.38 % lrs+11_128_av=off:bsr=on:cond=on:gs=on:lcm=reverse:lma=on:nm=32:nwc=1:stl=30:sd=5:ss=axioms:st=3.0_1 on theBenchmark 8.61/8.77 % Time limit reached! 8.61/8.77 % ------------------------------ 8.61/8.77 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 8.61/8.77 % Termination reason: Time limit 8.61/8.77 % Termination phase: Saturation 8.61/8.77 8.61/8.77 % Memory used [KB]: 11001 8.61/8.77 % Time elapsed: 0.400 s 8.61/8.77 % ------------------------------ 8.61/8.77 % ------------------------------ 8.61/8.84 % ott+11_16_av=off:gs=on:gsem=on:irw=on:lma=on:nm=64:newcnf=on:nwc=1.3:sas=z3:sp=reverse_arity_14 on theBenchmark 10.67/10.83 % Time limit reached! 10.67/10.83 % ------------------------------ 10.67/10.83 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 10.67/10.83 % Termination reason: Time limit 10.67/10.83 % Termination phase: Saturation 10.67/10.83 10.67/10.83 % Memory used [KB]: 62045 10.67/10.83 % Time elapsed: 2.0000 s 10.67/10.83 % ------------------------------ 10.67/10.83 % ------------------------------ 10.70/10.90 % lrs+11_20_av=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=theory:sp=reverse_arity:uhcvi=on_3 on theBenchmark 11.34/11.50 % Time limit reached! 11.34/11.50 % ------------------------------ 11.34/11.50 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 11.34/11.50 % Termination reason: Time limit 11.34/11.50 % Termination phase: Saturation 11.34/11.50 11.34/11.50 % Memory used [KB]: 22387 11.34/11.50 % Time elapsed: 0.600 s 11.34/11.50 % ------------------------------ 11.34/11.50 % ------------------------------ 11.39/11.53 % ott+2_2_afp=10000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_18 on theBenchmark 13.91/14.03 % Time limit reached! 13.91/14.03 % ------------------------------ 13.91/14.03 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 13.91/14.03 % Termination reason: Time limit 13.91/14.03 % Termination phase: Saturation 13.91/14.03 13.91/14.03 % Memory used [KB]: 46950 13.91/14.03 % Time elapsed: 2.500 s 13.91/14.03 % ------------------------------ 13.91/14.03 % ------------------------------ 13.94/14.11 % lrs+11_1_add=large:afr=on:afp=100000:afq=2.0:amm=off:anc=none:bd=off:gs=on:gsem=on:irw=on:nm=32:newcnf=on:nwc=2.5:nicw=on:stl=30:sd=3:ss=axioms:sos=all:urr=on_34 on theBenchmark 18.58/18.71 % Time limit reached! 18.58/18.71 % ------------------------------ 18.58/18.71 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 18.58/18.71 % Termination reason: Time limit 18.58/18.71 % Termination phase: Saturation 18.58/18.71 18.58/18.71 % Memory used [KB]: 57312 18.58/18.71 % Time elapsed: 4.600 s 18.58/18.71 % ------------------------------ 18.58/18.71 % ------------------------------ 18.66/18.78 % lrs+1003_3_awrs=decay:awrsf=4:add=large:afr=on:afp=100000:afq=2.0:amm=sco:bd=off:cond=fast:fsr=off:fde=unused:gs=on:gsem=on:nm=6:nwc=1:stl=30:sd=1:ss=axioms:st=1.2:sos=on:sac=on:sp=frequency:urr=on:updr=off_2 on theBenchmark 19.08/19.15 % Refutation found. Thanks to Tanya! 19.08/19.15 % SZS status Theorem for theBenchmark 19.08/19.15 % SZS output start Proof for theBenchmark 19.08/19.15 fof(f4072,plain,( 19.08/19.15 $false), 19.08/19.15 inference(avatar_sat_refutation,[],[f121,f617,f714,f2008,f4071])). 19.08/19.15 fof(f4071,plain,( 19.08/19.15 spl13_3 | ~spl13_4), 19.08/19.15 inference(avatar_contradiction_clause,[],[f4058])). 19.08/19.15 fof(f4058,plain,( 19.08/19.15 $false | (~spl13_3 | ~spl13_4)), 19.08/19.15 inference(unit_resulting_resolution,[],[f621,f2010,f2090,f74])). 19.08/19.15 fof(f74,plain,( 19.08/19.15 ( ! [X4,X2,X0,X1] : (member(X2,inverse_image2(X0,X1)) | ~apply(X0,X2,X4) | ~member(X4,X1)) )), 19.08/19.15 inference(cnf_transformation,[],[f50])). 19.08/19.15 fof(f50,plain,( 19.08/19.15 ! [X0,X1,X2] : (((apply(X0,X2,sK6(X0,X1,X2)) & member(sK6(X0,X1,X2),X1)) | ~member(X2,inverse_image2(X0,X1))) & (member(X2,inverse_image2(X0,X1)) | ! [X4] : (~apply(X0,X2,X4) | ~member(X4,X1))))), 19.08/19.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f48,f49])). 19.08/19.15 fof(f49,plain,( 19.08/19.15 ! [X2,X1,X0] : (? [X3] : (apply(X0,X2,X3) & member(X3,X1)) => (apply(X0,X2,sK6(X0,X1,X2)) & member(sK6(X0,X1,X2),X1)))), 19.08/19.15 introduced(choice_axiom,[])). 19.08/19.15 fof(f48,plain,( 19.08/19.15 ! [X0,X1,X2] : ((? [X3] : (apply(X0,X2,X3) & member(X3,X1)) | ~member(X2,inverse_image2(X0,X1))) & (member(X2,inverse_image2(X0,X1)) | ! [X4] : (~apply(X0,X2,X4) | ~member(X4,X1))))), 19.08/19.15 inference(rectify,[],[f47])). 19.08/19.15 fof(f47,plain,( 19.08/19.15 ! [X0,X1,X2] : ((? [X3] : (apply(X0,X2,X3) & member(X3,X1)) | ~member(X2,inverse_image2(X0,X1))) & (member(X2,inverse_image2(X0,X1)) | ! [X3] : (~apply(X0,X2,X3) | ~member(X3,X1))))), 19.08/19.15 inference(nnf_transformation,[],[f33])). 19.08/19.15 fof(f33,plain,( 19.08/19.15 ! [X0,X1,X2] : (? [X3] : (apply(X0,X2,X3) & member(X3,X1)) <=> member(X2,inverse_image2(X0,X1)))), 19.08/19.15 inference(rectify,[],[f12])). 19.08/19.15 fof(f12,axiom,( 19.08/19.15 ! [X5,X2,X0] : (? [X3] : (apply(X5,X0,X3) & member(X3,X2)) <=> member(X0,inverse_image2(X5,X2)))), 19.08/19.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_image2)). 19.08/19.15 fof(f2090,plain,( 19.08/19.15 ( ! [X0] : (member(sK6(sK1,sK4,sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5)))),union(sK4,X0))) ) | ~spl13_4), 19.08/19.15 inference(unit_resulting_resolution,[],[f2009,f78])). 19.08/19.15 fof(f78,plain,( 19.08/19.15 ( ! [X2,X0,X1] : (member(X0,union(X1,X2)) | ~member(X0,X1)) )), 19.08/19.15 inference(cnf_transformation,[],[f52])). 19.08/19.15 fof(f52,plain,( 19.08/19.15 ! [X0,X1,X2] : ((member(X0,X1) | member(X0,X2) | ~member(X0,union(X1,X2))) & (member(X0,union(X1,X2)) | (~member(X0,X1) & ~member(X0,X2))))), 19.08/19.15 inference(flattening,[],[f51])). 19.08/19.15 fof(f51,plain,( 19.08/19.15 ! [X0,X1,X2] : (((member(X0,X1) | member(X0,X2)) | ~member(X0,union(X1,X2))) & (member(X0,union(X1,X2)) | (~member(X0,X1) & ~member(X0,X2))))), 19.08/19.15 inference(nnf_transformation,[],[f9])). 19.08/19.15 fof(f9,axiom,( 19.08/19.15 ! [X0,X1,X2] : ((member(X0,X1) | member(X0,X2)) <=> member(X0,union(X1,X2)))), 19.08/19.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union)). 19.08/19.15 fof(f2009,plain,( 19.08/19.15 member(sK6(sK1,sK4,sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5)))),sK4) | ~spl13_4), 19.08/19.15 inference(unit_resulting_resolution,[],[f707,f75])). 19.08/19.15 fof(f75,plain,( 19.08/19.15 ( ! [X2,X0,X1] : (member(sK6(X0,X1,X2),X1) | ~member(X2,inverse_image2(X0,X1))) )), 19.08/19.15 inference(cnf_transformation,[],[f50])). 19.08/19.15 fof(f707,plain,( 19.08/19.15 member(sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))),inverse_image2(sK1,sK4)) | ~spl13_4), 19.08/19.15 inference(avatar_component_clause,[],[f706])). 19.08/19.15 fof(f706,plain,( 19.08/19.15 spl13_4 <=> member(sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))),inverse_image2(sK1,sK4))), 19.08/19.15 introduced(avatar_definition,[new_symbols(naming,[spl13_4])])). 19.08/19.15 fof(f2010,plain,( 19.08/19.15 apply(sK1,sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))),sK6(sK1,sK4,sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))))) | ~spl13_4), 19.08/19.15 inference(unit_resulting_resolution,[],[f707,f76])). 19.08/19.15 fof(f76,plain,( 19.08/19.15 ( ! [X2,X0,X1] : (~member(X2,inverse_image2(X0,X1)) | apply(X0,X2,sK6(X0,X1,X2))) )), 19.08/19.15 inference(cnf_transformation,[],[f50])). 19.08/19.15 fof(f621,plain,( 19.08/19.15 ~member(sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))),inverse_image2(sK1,union(sK4,sK5))) | ~spl13_3), 19.08/19.15 inference(unit_resulting_resolution,[],[f120,f82])). 19.08/19.15 fof(f82,plain,( 19.08/19.15 ( ! [X0,X1] : (~member(sK7(X0,X1),X1) | subset(X0,X1)) )), 19.08/19.15 inference(cnf_transformation,[],[f56])). 19.08/19.15 fof(f56,plain,( 19.08/19.15 ! [X0,X1] : ((subset(X0,X1) | (~member(sK7(X0,X1),X1) & member(sK7(X0,X1),X0))) & (! [X3] : (member(X3,X1) | ~member(X3,X0)) | ~subset(X0,X1)))), 19.08/19.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f54,f55])). 19.08/19.15 fof(f55,plain,( 19.08/19.15 ! [X1,X0] : (? [X2] : (~member(X2,X1) & member(X2,X0)) => (~member(sK7(X0,X1),X1) & member(sK7(X0,X1),X0)))), 19.08/19.15 introduced(choice_axiom,[])). 19.08/19.15 fof(f54,plain,( 19.08/19.15 ! [X0,X1] : ((subset(X0,X1) | ? [X2] : (~member(X2,X1) & member(X2,X0))) & (! [X3] : (member(X3,X1) | ~member(X3,X0)) | ~subset(X0,X1)))), 19.08/19.15 inference(rectify,[],[f53])). 19.08/19.15 fof(f53,plain,( 19.08/19.15 ! [X0,X1] : ((subset(X0,X1) | ? [X2] : (~member(X2,X1) & member(X2,X0))) & (! [X2] : (member(X2,X1) | ~member(X2,X0)) | ~subset(X0,X1)))), 19.08/19.15 inference(nnf_transformation,[],[f38])). 19.08/19.15 fof(f38,plain,( 19.08/19.15 ! [X0,X1] : (subset(X0,X1) <=> ! [X2] : (member(X2,X1) | ~member(X2,X0)))), 19.08/19.15 inference(ennf_transformation,[],[f34])). 19.08/19.15 fof(f34,plain,( 19.08/19.15 ! [X0,X1] : (subset(X0,X1) <=> ! [X2] : (member(X2,X0) => member(X2,X1)))), 19.08/19.15 inference(rectify,[],[f6])). 19.08/19.15 fof(f6,axiom,( 19.08/19.15 ! [X1,X2] : (subset(X1,X2) <=> ! [X0] : (member(X0,X1) => member(X0,X2)))), 19.08/19.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset)). 19.08/19.15 fof(f120,plain,( 19.08/19.15 ~subset(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))) | ~spl13_3), 19.08/19.15 inference(avatar_component_clause,[],[f119])). 19.08/19.15 fof(f119,plain,( 19.08/19.15 spl13_3 <=> ~subset(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5)))), 19.08/19.15 introduced(avatar_definition,[new_symbols(naming,[spl13_3])])). 19.08/19.15 fof(f2008,plain,( 19.08/19.15 spl13_3 | ~spl13_6), 19.08/19.15 inference(avatar_contradiction_clause,[],[f1998])). 19.08/19.15 fof(f1998,plain,( 19.08/19.15 $false | (~spl13_3 | ~spl13_6)), 19.08/19.15 inference(unit_resulting_resolution,[],[f716,f717,f1985])). 19.08/19.15 fof(f1985,plain,( 19.08/19.15 ( ! [X0,X1] : (~member(X1,sK5) | ~apply(sK1,sK7(union(X0,inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))),X1)) ) | (~spl13_3 | ~spl13_6)), 19.08/19.15 inference(resolution,[],[f1040,f77])). 19.08/19.15 fof(f77,plain,( 19.08/19.15 ( ! [X2,X0,X1] : (member(X0,union(X1,X2)) | ~member(X0,X2)) )), 19.08/19.15 inference(cnf_transformation,[],[f52])). 19.08/19.15 fof(f1040,plain,( 19.08/19.15 ( ! [X0,X1] : (~member(X1,union(sK4,sK5)) | ~apply(sK1,sK7(union(X0,inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))),X1)) ) | (~spl13_3 | ~spl13_6)), 19.08/19.15 inference(resolution,[],[f843,f74])). 19.08/19.15 fof(f843,plain,( 19.08/19.15 ( ! [X0] : (~member(sK7(union(X0,inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))),inverse_image2(sK1,union(sK4,sK5)))) ) | (~spl13_3 | ~spl13_6)), 19.08/19.15 inference(unit_resulting_resolution,[],[f832,f82])). 19.08/19.15 fof(f832,plain,( 19.08/19.15 ( ! [X0] : (~subset(union(X0,inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5)))) ) | (~spl13_3 | ~spl13_6)), 19.08/19.15 inference(unit_resulting_resolution,[],[f621,f718,f80])). 19.08/19.15 fof(f80,plain,( 19.08/19.15 ( ! [X0,X3,X1] : (~subset(X0,X1) | ~member(X3,X0) | member(X3,X1)) )), 19.08/19.15 inference(cnf_transformation,[],[f56])). 19.08/19.15 fof(f718,plain,( 19.08/19.15 ( ! [X0] : (member(sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))),union(X0,inverse_image2(sK1,sK5)))) ) | ~spl13_6), 19.08/19.15 inference(unit_resulting_resolution,[],[f713,f77])). 19.08/19.15 fof(f713,plain,( 19.08/19.15 member(sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))),inverse_image2(sK1,sK5)) | ~spl13_6), 19.08/19.15 inference(avatar_component_clause,[],[f712])). 19.08/19.15 fof(f712,plain,( 19.08/19.15 spl13_6 <=> member(sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))),inverse_image2(sK1,sK5))), 19.08/19.15 introduced(avatar_definition,[new_symbols(naming,[spl13_6])])). 19.08/19.15 fof(f717,plain,( 19.08/19.15 apply(sK1,sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))),sK6(sK1,sK5,sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))))) | ~spl13_6), 19.08/19.15 inference(unit_resulting_resolution,[],[f713,f76])). 19.08/19.15 fof(f716,plain,( 19.08/19.15 member(sK6(sK1,sK5,sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5)))),sK5) | ~spl13_6), 19.08/19.15 inference(unit_resulting_resolution,[],[f713,f75])). 19.08/19.15 fof(f714,plain,( 19.08/19.15 spl13_4 | spl13_6 | spl13_3), 19.08/19.15 inference(avatar_split_clause,[],[f644,f119,f712,f706])). 19.08/19.15 fof(f644,plain,( 19.08/19.15 member(sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))),inverse_image2(sK1,sK5)) | member(sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))),inverse_image2(sK1,sK4)) | ~spl13_3), 19.08/19.15 inference(resolution,[],[f620,f79])). 19.08/19.15 fof(f79,plain,( 19.08/19.15 ( ! [X2,X0,X1] : (~member(X0,union(X1,X2)) | member(X0,X2) | member(X0,X1)) )), 19.08/19.15 inference(cnf_transformation,[],[f52])). 19.08/19.15 fof(f620,plain,( 19.08/19.15 member(sK7(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5))) | ~spl13_3), 19.08/19.15 inference(unit_resulting_resolution,[],[f120,f81])). 19.08/19.15 fof(f81,plain,( 19.08/19.15 ( ! [X0,X1] : (member(sK7(X0,X1),X0) | subset(X0,X1)) )), 19.08/19.15 inference(cnf_transformation,[],[f56])). 19.08/19.15 fof(f617,plain,( 19.08/19.15 spl13_1), 19.08/19.15 inference(avatar_contradiction_clause,[],[f614])). 19.08/19.15 fof(f614,plain,( 19.08/19.15 $false | ~spl13_1), 19.08/19.15 inference(unit_resulting_resolution,[],[f516,f157,f517,f79])). 19.08/19.15 fof(f517,plain,( 19.08/19.15 ~member(sK6(sK1,union(sK4,sK5),sK7(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)))),sK4) | ~spl13_1), 19.08/19.15 inference(unit_resulting_resolution,[],[f167,f158,f74])). 19.08/19.15 fof(f158,plain,( 19.08/19.15 apply(sK1,sK7(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5))),sK6(sK1,union(sK4,sK5),sK7(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5))))) | ~spl13_1), 19.08/19.15 inference(unit_resulting_resolution,[],[f124,f76])). 19.08/19.15 fof(f124,plain,( 19.08/19.15 member(sK7(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5))),inverse_image2(sK1,union(sK4,sK5))) | ~spl13_1), 19.08/19.15 inference(unit_resulting_resolution,[],[f114,f81])). 19.08/19.15 fof(f114,plain,( 19.08/19.15 ~subset(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5))) | ~spl13_1), 19.08/19.15 inference(avatar_component_clause,[],[f113])). 19.08/19.15 fof(f113,plain,( 19.08/19.15 spl13_1 <=> ~subset(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)))), 19.08/19.15 introduced(avatar_definition,[new_symbols(naming,[spl13_1])])). 19.08/19.15 fof(f167,plain,( 19.08/19.15 ~member(sK7(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5))),inverse_image2(sK1,sK4)) | ~spl13_1), 19.08/19.15 inference(unit_resulting_resolution,[],[f125,f78])). 19.08/19.15 fof(f125,plain,( 19.08/19.15 ~member(sK7(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5))),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5))) | ~spl13_1), 19.08/19.15 inference(unit_resulting_resolution,[],[f114,f82])). 19.08/19.15 fof(f157,plain,( 19.08/19.15 member(sK6(sK1,union(sK4,sK5),sK7(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)))),union(sK4,sK5)) | ~spl13_1), 19.08/19.15 inference(unit_resulting_resolution,[],[f124,f75])). 19.08/19.15 fof(f516,plain,( 19.08/19.15 ~member(sK6(sK1,union(sK4,sK5),sK7(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)))),sK5) | ~spl13_1), 19.08/19.15 inference(unit_resulting_resolution,[],[f166,f158,f74])). 19.08/19.15 fof(f166,plain,( 19.08/19.15 ~member(sK7(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5))),inverse_image2(sK1,sK5)) | ~spl13_1), 19.08/19.15 inference(unit_resulting_resolution,[],[f125,f77])). 19.08/19.15 fof(f121,plain,( 19.08/19.15 ~spl13_1 | ~spl13_3), 19.08/19.15 inference(avatar_split_clause,[],[f102,f119,f113])). 19.08/19.15 fof(f102,plain,( 19.08/19.15 ~subset(union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)),inverse_image2(sK1,union(sK4,sK5))) | ~subset(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)))), 19.08/19.15 inference(resolution,[],[f70,f71])). 19.08/19.15 fof(f71,plain,( 19.08/19.15 ( ! [X0,X1] : (equal_set(X0,X1) | ~subset(X1,X0) | ~subset(X0,X1)) )), 19.08/19.15 inference(cnf_transformation,[],[f46])). 19.08/19.15 fof(f46,plain,( 19.08/19.15 ! [X0,X1] : (((subset(X1,X0) & subset(X0,X1)) | ~equal_set(X0,X1)) & (equal_set(X0,X1) | ~subset(X1,X0) | ~subset(X0,X1)))), 19.08/19.15 inference(flattening,[],[f45])). 19.08/19.15 fof(f45,plain,( 19.08/19.15 ! [X0,X1] : (((subset(X1,X0) & subset(X0,X1)) | ~equal_set(X0,X1)) & (equal_set(X0,X1) | (~subset(X1,X0) | ~subset(X0,X1))))), 19.08/19.15 inference(nnf_transformation,[],[f32])). 19.08/19.15 fof(f32,plain,( 19.08/19.15 ! [X0,X1] : ((subset(X1,X0) & subset(X0,X1)) <=> equal_set(X0,X1))), 19.08/19.15 inference(rectify,[],[f8])). 19.08/19.15 fof(f8,axiom,( 19.08/19.15 ! [X1,X2] : ((subset(X2,X1) & subset(X1,X2)) <=> equal_set(X1,X2))), 19.08/19.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set)). 19.08/19.15 fof(f70,plain,( 19.08/19.15 ~equal_set(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5)))), 19.08/19.15 inference(cnf_transformation,[],[f44])). 19.08/19.15 fof(f44,plain,( 19.08/19.15 ~equal_set(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5))) & subset(sK4,sK3) & subset(sK5,sK3) & maps(sK1,sK2,sK3)), 19.08/19.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f37,f43])). 19.08/19.15 fof(f43,plain,( 19.08/19.15 ? [X0,X1,X2,X3,X4] : (~equal_set(inverse_image2(X0,union(X3,X4)),union(inverse_image2(X0,X3),inverse_image2(X0,X4))) & subset(X3,X2) & subset(X4,X2) & maps(X0,X1,X2)) => (~equal_set(inverse_image2(sK1,union(sK4,sK5)),union(inverse_image2(sK1,sK4),inverse_image2(sK1,sK5))) & subset(sK4,sK3) & subset(sK5,sK3) & maps(sK1,sK2,sK3))), 19.08/19.15 introduced(choice_axiom,[])). 19.08/19.15 fof(f37,plain,( 19.08/19.15 ? [X0,X1,X2,X3,X4] : (~equal_set(inverse_image2(X0,union(X3,X4)),union(inverse_image2(X0,X3),inverse_image2(X0,X4))) & subset(X3,X2) & subset(X4,X2) & maps(X0,X1,X2))), 19.08/19.15 inference(flattening,[],[f36])). 19.08/19.15 fof(f36,plain,( 19.08/19.15 ? [X0,X1,X2,X3,X4] : (~equal_set(inverse_image2(X0,union(X3,X4)),union(inverse_image2(X0,X3),inverse_image2(X0,X4))) & (subset(X3,X2) & subset(X4,X2) & maps(X0,X1,X2)))), 19.08/19.15 inference(ennf_transformation,[],[f31])). 19.08/19.15 fof(f31,plain,( 19.08/19.15 ~! [X0,X1,X2,X3,X4] : ((subset(X3,X2) & subset(X4,X2) & maps(X0,X1,X2)) => equal_set(inverse_image2(X0,union(X3,X4)),union(inverse_image2(X0,X3),inverse_image2(X0,X4))))), 19.08/19.15 inference(rectify,[],[f30])). 19.08/19.15 fof(f30,negated_conjecture,( 19.08/19.15 ~! [X5,X1,X2,X0,X3] : ((subset(X0,X2) & subset(X3,X2) & maps(X5,X1,X2)) => equal_set(inverse_image2(X5,union(X0,X3)),union(inverse_image2(X5,X0),inverse_image2(X5,X3))))), 19.08/19.15 inference(negated_conjecture,[],[f29])). 19.08/19.15 fof(f29,conjecture,( 19.08/19.15 ! [X5,X1,X2,X0,X3] : ((subset(X0,X2) & subset(X3,X2) & maps(X5,X1,X2)) => equal_set(inverse_image2(X5,union(X0,X3)),union(inverse_image2(X5,X0),inverse_image2(X5,X3))))), 19.08/19.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa06)). 19.08/19.15 % SZS output end Proof for theBenchmark 19.08/19.15 % ------------------------------ 19.08/19.15 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 19.08/19.15 % Termination reason: Refutation 19.08/19.15 19.08/19.15 % Memory used [KB]: 17526 19.08/19.15 % Time elapsed: 0.373 s 19.08/19.15 % ------------------------------ 19.08/19.15 % ------------------------------ 19.08/19.15 % Success in time 18.819 s 19.08/19.15 EOF