0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : vampire --mode casc -t %d %s 0.12/0.34 % Computer : n005.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 % DateTime : Thu Jul 2 07:06:51 EDT 2020 0.12/0.34 % CPUTime : 0.12/0.40 % dis+10_16_awrs=decay:awrsf=256:afr=on:afp=40000:afq=2.0:amm=off:bsr=on:cond=on:er=known:gsp=input_only:irw=on:lma=on:nm=6:newcnf=on:nwc=3:sas=z3:sd=4:ss=axioms:s2a=on:sp=frequency:updr=off_8 on theBenchmark 1.37/1.60 % Time limit reached! 1.37/1.60 % ------------------------------ 1.37/1.60 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.37/1.60 % Termination reason: Time limit 1.37/1.60 % Termination phase: Saturation 1.37/1.60 1.37/1.60 % Memory used [KB]: 8699 1.37/1.60 % Time elapsed: 1.200 s 1.37/1.60 % ------------------------------ 1.37/1.60 % ------------------------------ 1.44/1.66 % dis+11_3_av=off:fsr=off:lcm=predicate:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=1.2:sos=on:updr=off_4 on theBenchmark 2.26/2.46 % Time limit reached! 2.26/2.46 % ------------------------------ 2.26/2.46 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.26/2.46 % Termination reason: Time limit 2.26/2.46 % Termination phase: Saturation 2.26/2.46 2.26/2.46 % Memory used [KB]: 13176 2.26/2.46 % Time elapsed: 0.800 s 2.26/2.46 % ------------------------------ 2.26/2.46 % ------------------------------ 2.26/2.48 % dis+1_5:1_aac=none:afr=on:afp=100000:afq=1.4:amm=sco:anc=none:br=off:gsp=input_only:gs=on:gsem=on:lcm=reverse:nm=6:nwc=1:nicw=on:sas=z3:sos=on:urr=on_1 on theBenchmark 2.33/2.52 % Refutation found. Thanks to Tanya! 2.33/2.52 % SZS status Theorem for theBenchmark 2.33/2.52 % SZS output start Proof for theBenchmark 2.33/2.52 fof(f671,plain,( 2.33/2.52 $false), 2.33/2.52 inference(avatar_sat_refutation,[],[f165,f169,f176,f181,f187,f198,f199,f203,f209,f232,f237,f250,f254,f309,f313,f349,f353,f363,f367,f371,f394,f413,f587,f593,f599,f605,f670])). 2.33/2.52 fof(f670,plain,( 2.33/2.52 ~spl8_0 | ~spl8_18), 2.33/2.52 inference(avatar_contradiction_clause,[],[f669])). 2.33/2.52 fof(f669,plain,( 2.33/2.52 $false | (~spl8_0 | ~spl8_18)), 2.33/2.52 inference(unit_resulting_resolution,[],[f164,f634])). 2.33/2.52 fof(f634,plain,( 2.33/2.52 ( ! [X2,X0,X1] : (~check_cpq(insert_cpq(triple(X0,sK1,X2),X1))) ) | ~spl8_18), 2.33/2.52 inference(superposition,[],[f320,f127])). 2.33/2.52 fof(f127,plain,( 2.33/2.52 ( ! [X2,X0,X3,X1] : (triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2) = insert_cpq(triple(X0,X1,X2),X3)) )), 2.33/2.52 inference(cnf_transformation,[],[f32])). 2.33/2.52 fof(f32,axiom,( 2.33/2.52 ! [X0,X1,X2,X3] : triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2) = insert_cpq(triple(X0,X1,X2),X3)), 2.33/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42)). 2.33/2.52 fof(f320,plain,( 2.33/2.52 ( ! [X2,X0,X1] : (~check_cpq(triple(X0,insert_slb(sK1,pair(X1,bottom)),X2))) ) | ~spl8_18), 2.33/2.52 inference(unit_resulting_resolution,[],[f105,f265,f145])). 2.33/2.52 fof(f145,plain,( 2.33/2.52 ( ! [X4,X2,X0,X3,X1] : (~less_than(X4,X3) | ~check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) | check_cpq(triple(X0,X1,X2))) )), 2.33/2.52 inference(cnf_transformation,[],[f95])). 2.33/2.52 fof(f95,plain,( 2.33/2.52 ! [X0,X1,X2,X3,X4] : (((check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) | ~check_cpq(triple(X0,X1,X2))) & (check_cpq(triple(X0,X1,X2)) | ~check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)))) | ~less_than(X4,X3))), 2.33/2.52 inference(nnf_transformation,[],[f84])). 2.33/2.52 fof(f84,plain,( 2.33/2.52 ! [X0,X1,X2,X3,X4] : ((check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) <=> check_cpq(triple(X0,X1,X2))) | ~less_than(X4,X3))), 2.33/2.52 inference(ennf_transformation,[],[f28])). 2.33/2.52 fof(f28,axiom,( 2.33/2.52 ! [X0,X1,X2,X3,X4] : (less_than(X4,X3) => (check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) <=> check_cpq(triple(X0,X1,X2))))), 2.33/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37)). 2.33/2.52 fof(f265,plain,( 2.33/2.52 ( ! [X0,X1] : (~check_cpq(triple(X0,sK1,X1))) ) | ~spl8_18), 2.33/2.52 inference(unit_resulting_resolution,[],[f236,f161])). 2.33/2.52 fof(f161,plain,( 2.33/2.52 ( ! [X2,X0,X1] : (~sP7(X1) | ~check_cpq(triple(X0,X1,X2))) )), 2.33/2.52 inference(general_splitting,[],[f159,f160_D])). 2.33/2.52 fof(f160,plain,( 2.33/2.52 ( ! [X5,X1] : (~sP6(X5,X1) | sP7(X1)) )), 2.33/2.52 inference(cnf_transformation,[],[f160_D])). 2.33/2.52 fof(f160_D,plain,( 2.33/2.52 ( ! [X1] : (( ! [X5] : ~sP6(X5,X1) ) <=> ~sP7(X1)) )), 2.33/2.52 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])])). 2.33/2.52 fof(f159,plain,( 2.33/2.52 ( ! [X2,X0,X5,X1] : (~check_cpq(triple(X0,X1,X2)) | ~sP6(X5,X1)) )), 2.33/2.52 inference(general_splitting,[],[f100,f158_D])). 2.33/2.52 fof(f158,plain,( 2.33/2.52 ( ! [X6,X5,X1] : (~pair_in_list(X1,X5,X6) | less_than(X6,X5) | sP6(X5,X1)) )), 2.33/2.52 inference(cnf_transformation,[],[f158_D])). 2.33/2.52 fof(f158_D,plain,( 2.33/2.52 ( ! [X1,X5] : (( ! [X6] : (~pair_in_list(X1,X5,X6) | less_than(X6,X5)) ) <=> ~sP6(X5,X1)) )), 2.33/2.52 introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])])). 2.33/2.52 fof(f100,plain,( 2.33/2.52 ( ! [X6,X2,X0,X5,X1] : (less_than(X6,X5) | ~pair_in_list(X1,X5,X6) | ~check_cpq(triple(X0,X1,X2))) )), 2.33/2.52 inference(cnf_transformation,[],[f91])). 2.33/2.52 fof(f91,plain,( 2.33/2.52 ! [X0,X1,X2] : ((check_cpq(triple(X0,X1,X2)) | (~less_than(sK5(X1),sK4(X1)) & pair_in_list(X1,sK4(X1),sK5(X1)))) & (! [X5,X6] : (less_than(X6,X5) | ~pair_in_list(X1,X5,X6)) | ~check_cpq(triple(X0,X1,X2))))), 2.33/2.52 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f89,f90])). 2.33/2.52 fof(f90,plain,( 2.33/2.52 ! [X1] : (? [X3,X4] : (~less_than(X4,X3) & pair_in_list(X1,X3,X4)) => (~less_than(sK5(X1),sK4(X1)) & pair_in_list(X1,sK4(X1),sK5(X1))))), 2.33/2.52 introduced(choice_axiom,[])). 2.33/2.52 fof(f89,plain,( 2.33/2.52 ! [X0,X1,X2] : ((check_cpq(triple(X0,X1,X2)) | ? [X3,X4] : (~less_than(X4,X3) & pair_in_list(X1,X3,X4))) & (! [X5,X6] : (less_than(X6,X5) | ~pair_in_list(X1,X5,X6)) | ~check_cpq(triple(X0,X1,X2))))), 2.33/2.52 inference(rectify,[],[f88])). 2.33/2.52 fof(f88,plain,( 2.33/2.52 ! [X0,X1,X2] : ((check_cpq(triple(X0,X1,X2)) | ? [X3,X4] : (~less_than(X4,X3) & pair_in_list(X1,X3,X4))) & (! [X3,X4] : (less_than(X4,X3) | ~pair_in_list(X1,X3,X4)) | ~check_cpq(triple(X0,X1,X2))))), 2.33/2.52 inference(nnf_transformation,[],[f55])). 2.33/2.52 fof(f55,plain,( 2.33/2.52 ! [X0,X1,X2] : (check_cpq(triple(X0,X1,X2)) <=> ! [X3,X4] : (less_than(X4,X3) | ~pair_in_list(X1,X3,X4)))), 2.33/2.52 inference(ennf_transformation,[],[f44])). 2.33/2.52 fof(f44,axiom,( 2.33/2.52 ! [X0,X1,X2] : (check_cpq(triple(X0,X1,X2)) <=> ! [X3,X4] : (pair_in_list(X1,X3,X4) => less_than(X4,X3)))), 2.33/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l26_li4142)). 2.33/2.52 fof(f236,plain,( 2.33/2.52 sP7(sK1) | ~spl8_18), 2.33/2.52 inference(avatar_component_clause,[],[f235])). 2.33/2.52 fof(f235,plain,( 2.33/2.52 spl8_18 <=> sP7(sK1)), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_18])])). 2.33/2.52 fof(f105,plain,( 2.33/2.52 ( ! [X0] : (less_than(bottom,X0)) )), 2.33/2.52 inference(cnf_transformation,[],[f2])). 2.33/2.52 fof(f2,axiom,( 2.33/2.52 ! [X0] : less_than(bottom,X0)), 2.33/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bottom_smallest)). 2.33/2.52 fof(f164,plain,( 2.33/2.52 check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3)) | ~spl8_0), 2.33/2.52 inference(avatar_component_clause,[],[f163])). 2.33/2.52 fof(f163,plain,( 2.33/2.52 spl8_0 <=> check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_0])])). 2.33/2.52 fof(f605,plain,( 2.33/2.52 spl8_38 | spl8_3), 2.33/2.52 inference(avatar_split_clause,[],[f600,f167,f585])). 2.33/2.52 fof(f585,plain,( 2.33/2.52 spl8_38 <=> sP6(sK4(insert_slb(insert_slb(sK1,pair(bottom,bottom)),pair(bottom,bottom))),insert_slb(insert_slb(sK1,pair(bottom,bottom)),pair(bottom,bottom)))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_38])])). 2.33/2.52 fof(f167,plain,( 2.33/2.52 spl8_3 <=> ~check_cpq(triple(sK0,sK1,sK2))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_3])])). 2.33/2.52 fof(f600,plain,( 2.33/2.52 sP6(sK4(insert_slb(insert_slb(sK1,pair(bottom,bottom)),pair(bottom,bottom))),insert_slb(insert_slb(sK1,pair(bottom,bottom)),pair(bottom,bottom))) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f269,f296,f158])). 2.33/2.52 fof(f296,plain,( 2.33/2.52 ( ! [X0,X1] : (pair_in_list(insert_slb(insert_slb(sK1,pair(X0,X0)),pair(X1,X1)),sK4(insert_slb(insert_slb(sK1,pair(X0,X0)),pair(X1,X1))),sK5(insert_slb(insert_slb(sK1,pair(X0,X0)),pair(X1,X1))))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f219,f101])). 2.33/2.52 fof(f101,plain,( 2.33/2.52 ( ! [X2,X0,X1] : (pair_in_list(X1,sK4(X1),sK5(X1)) | check_cpq(triple(X0,X1,X2))) )), 2.33/2.52 inference(cnf_transformation,[],[f91])). 2.33/2.52 fof(f219,plain,( 2.33/2.52 ( ! [X0,X1] : (~check_cpq(triple(sK0,insert_slb(insert_slb(sK1,pair(X0,X0)),pair(X1,X1)),sK2))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f107,f171,f145])). 2.33/2.52 fof(f171,plain,( 2.33/2.52 ( ! [X0] : (~check_cpq(triple(sK0,insert_slb(sK1,pair(X0,X0)),sK2))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f107,f168,f145])). 2.33/2.52 fof(f168,plain,( 2.33/2.52 ~check_cpq(triple(sK0,sK1,sK2)) | ~spl8_3), 2.33/2.52 inference(avatar_component_clause,[],[f167])). 2.33/2.52 fof(f107,plain,( 2.33/2.52 ( ! [X0] : (less_than(X0,X0)) )), 2.33/2.52 inference(cnf_transformation,[],[f4])). 2.33/2.52 fof(f4,axiom,( 2.33/2.52 ! [X0] : less_than(X0,X0)), 2.33/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity)). 2.33/2.52 fof(f269,plain,( 2.33/2.52 ( ! [X0,X1] : (~less_than(sK5(insert_slb(insert_slb(sK1,pair(X0,bottom)),pair(X1,bottom))),sK4(insert_slb(insert_slb(sK1,pair(X0,bottom)),pair(X1,bottom))))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f213,f102])). 2.33/2.52 fof(f102,plain,( 2.33/2.52 ( ! [X2,X0,X1] : (~less_than(sK5(X1),sK4(X1)) | check_cpq(triple(X0,X1,X2))) )), 2.33/2.52 inference(cnf_transformation,[],[f91])). 2.33/2.52 fof(f213,plain,( 2.33/2.52 ( ! [X0,X1] : (~check_cpq(triple(sK0,insert_slb(insert_slb(sK1,pair(X0,bottom)),pair(X1,bottom)),sK2))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f105,f170,f145])). 2.33/2.52 fof(f170,plain,( 2.33/2.52 ( ! [X0] : (~check_cpq(triple(sK0,insert_slb(sK1,pair(X0,bottom)),sK2))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f105,f168,f145])). 2.33/2.52 fof(f599,plain,( 2.33/2.52 spl8_38 | spl8_3), 2.33/2.52 inference(avatar_split_clause,[],[f595,f167,f585])). 2.33/2.52 fof(f595,plain,( 2.33/2.52 sP6(sK4(insert_slb(insert_slb(sK1,pair(bottom,bottom)),pair(bottom,bottom))),insert_slb(insert_slb(sK1,pair(bottom,bottom)),pair(bottom,bottom))) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f276,f289,f158])). 2.33/2.52 fof(f289,plain,( 2.33/2.52 ( ! [X0,X1] : (pair_in_list(insert_slb(insert_slb(sK1,pair(X0,X0)),pair(X1,bottom)),sK4(insert_slb(insert_slb(sK1,pair(X0,X0)),pair(X1,bottom))),sK5(insert_slb(insert_slb(sK1,pair(X0,X0)),pair(X1,bottom))))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f218,f101])). 2.33/2.52 fof(f218,plain,( 2.33/2.52 ( ! [X0,X1] : (~check_cpq(triple(sK0,insert_slb(insert_slb(sK1,pair(X0,X0)),pair(X1,bottom)),sK2))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f105,f171,f145])). 2.33/2.52 fof(f276,plain,( 2.33/2.52 ( ! [X0,X1] : (~less_than(sK5(insert_slb(insert_slb(sK1,pair(X0,bottom)),pair(X1,X1))),sK4(insert_slb(insert_slb(sK1,pair(X0,bottom)),pair(X1,X1))))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f214,f102])). 2.33/2.52 fof(f214,plain,( 2.33/2.52 ( ! [X0,X1] : (~check_cpq(triple(sK0,insert_slb(insert_slb(sK1,pair(X0,bottom)),pair(X1,X1)),sK2))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f107,f170,f145])). 2.33/2.52 fof(f593,plain,( 2.33/2.52 spl8_38 | spl8_3), 2.33/2.52 inference(avatar_split_clause,[],[f590,f167,f585])). 2.33/2.52 fof(f590,plain,( 2.33/2.52 sP6(sK4(insert_slb(insert_slb(sK1,pair(bottom,bottom)),pair(bottom,bottom))),insert_slb(insert_slb(sK1,pair(bottom,bottom)),pair(bottom,bottom))) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f290,f275,f158])). 2.33/2.52 fof(f275,plain,( 2.33/2.52 ( ! [X0,X1] : (pair_in_list(insert_slb(insert_slb(sK1,pair(X0,bottom)),pair(X1,X1)),sK4(insert_slb(insert_slb(sK1,pair(X0,bottom)),pair(X1,X1))),sK5(insert_slb(insert_slb(sK1,pair(X0,bottom)),pair(X1,X1))))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f214,f101])). 2.33/2.52 fof(f290,plain,( 2.33/2.52 ( ! [X0,X1] : (~less_than(sK5(insert_slb(insert_slb(sK1,pair(X0,X0)),pair(X1,bottom))),sK4(insert_slb(insert_slb(sK1,pair(X0,X0)),pair(X1,bottom))))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f218,f102])). 2.33/2.52 fof(f587,plain,( 2.33/2.52 spl8_38 | spl8_3), 2.33/2.52 inference(avatar_split_clause,[],[f582,f167,f585])). 2.33/2.52 fof(f582,plain,( 2.33/2.52 sP6(sK4(insert_slb(insert_slb(sK1,pair(bottom,bottom)),pair(bottom,bottom))),insert_slb(insert_slb(sK1,pair(bottom,bottom)),pair(bottom,bottom))) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f297,f268,f158])). 2.33/2.52 fof(f268,plain,( 2.33/2.52 ( ! [X0,X1] : (pair_in_list(insert_slb(insert_slb(sK1,pair(X0,bottom)),pair(X1,bottom)),sK4(insert_slb(insert_slb(sK1,pair(X0,bottom)),pair(X1,bottom))),sK5(insert_slb(insert_slb(sK1,pair(X0,bottom)),pair(X1,bottom))))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f213,f101])). 2.33/2.52 fof(f297,plain,( 2.33/2.52 ( ! [X0,X1] : (~less_than(sK5(insert_slb(insert_slb(sK1,pair(X0,X0)),pair(X1,X1))),sK4(insert_slb(insert_slb(sK1,pair(X0,X0)),pair(X1,X1))))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f219,f102])). 2.33/2.52 fof(f413,plain,( 2.33/2.52 spl8_36 | spl8_3), 2.33/2.52 inference(avatar_split_clause,[],[f411,f167,f392])). 2.33/2.52 fof(f392,plain,( 2.33/2.52 spl8_36 <=> strictly_less_than(sK4(insert_slb(sK1,pair(bottom,bottom))),sK5(insert_slb(sK1,pair(bottom,bottom))))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_36])])). 2.33/2.52 fof(f411,plain,( 2.33/2.52 strictly_less_than(sK4(insert_slb(sK1,pair(bottom,bottom))),sK5(insert_slb(sK1,pair(bottom,bottom)))) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f212,f285,f118])). 2.33/2.52 fof(f118,plain,( 2.33/2.52 ( ! [X0,X1] : (~less_than(X0,X1) | strictly_less_than(X0,X1) | less_than(X1,X0)) )), 2.33/2.52 inference(cnf_transformation,[],[f59])). 2.33/2.52 fof(f59,plain,( 2.33/2.52 ! [X0,X1] : (strictly_less_than(X0,X1) | ~less_than(X0,X1) | less_than(X1,X0))), 2.33/2.52 inference(flattening,[],[f58])). 2.33/2.52 fof(f58,plain,( 2.33/2.52 ! [X0,X1] : (strictly_less_than(X0,X1) | (~less_than(X0,X1) | less_than(X1,X0)))), 2.33/2.52 inference(ennf_transformation,[],[f53])). 2.33/2.52 fof(f53,plain,( 2.33/2.52 ! [X0,X1] : ((less_than(X0,X1) & ~less_than(X1,X0)) => strictly_less_than(X0,X1))), 2.33/2.52 inference(unused_predicate_definition_removal,[],[f3])). 2.33/2.52 fof(f3,axiom,( 2.33/2.52 ! [X0,X1] : ((less_than(X0,X1) & ~less_than(X1,X0)) <=> strictly_less_than(X0,X1))), 2.33/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stricly_smaller_definition)). 2.33/2.52 fof(f285,plain,( 2.33/2.52 ( ! [X0] : (less_than(sK4(insert_slb(sK1,pair(X0,X0))),sK5(insert_slb(sK1,pair(X0,X0))))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f217,f115])). 2.33/2.52 fof(f115,plain,( 2.33/2.52 ( ! [X0,X1] : (less_than(X1,X0) | less_than(X0,X1)) )), 2.33/2.52 inference(cnf_transformation,[],[f1])). 2.33/2.52 fof(f1,axiom,( 2.33/2.52 ! [X0,X1] : (less_than(X1,X0) | less_than(X0,X1))), 2.33/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality)). 2.33/2.52 fof(f217,plain,( 2.33/2.52 ( ! [X0] : (~less_than(sK5(insert_slb(sK1,pair(X0,X0))),sK4(insert_slb(sK1,pair(X0,X0))))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f171,f102])). 2.33/2.52 fof(f212,plain,( 2.33/2.52 ( ! [X0] : (~less_than(sK5(insert_slb(sK1,pair(X0,bottom))),sK4(insert_slb(sK1,pair(X0,bottom))))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f170,f102])). 2.33/2.52 fof(f394,plain,( 2.33/2.52 spl8_36 | spl8_3), 2.33/2.52 inference(avatar_split_clause,[],[f390,f167,f392])). 2.33/2.52 fof(f390,plain,( 2.33/2.52 strictly_less_than(sK4(insert_slb(sK1,pair(bottom,bottom))),sK5(insert_slb(sK1,pair(bottom,bottom)))) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f217,f263,f118])). 2.33/2.52 fof(f263,plain,( 2.33/2.52 ( ! [X0] : (less_than(sK4(insert_slb(sK1,pair(X0,bottom))),sK5(insert_slb(sK1,pair(X0,bottom))))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f212,f115])). 2.33/2.52 fof(f371,plain,( 2.33/2.52 spl8_34 | spl8_23), 2.33/2.52 inference(avatar_split_clause,[],[f355,f252,f369])). 2.33/2.52 fof(f369,plain,( 2.33/2.52 spl8_34 <=> pair_in_list(insert_slb(sK1,pair(sK5(sK1),sK4(sK1))),sK4(insert_slb(sK1,pair(sK5(sK1),sK4(sK1)))),sK5(insert_slb(sK1,pair(sK5(sK1),sK4(sK1)))))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_34])])). 2.33/2.52 fof(f252,plain,( 2.33/2.52 spl8_23 <=> ~check_cpq(triple(sK0,insert_slb(sK1,pair(sK5(sK1),sK4(sK1))),sK2))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_23])])). 2.33/2.52 fof(f355,plain,( 2.33/2.52 pair_in_list(insert_slb(sK1,pair(sK5(sK1),sK4(sK1))),sK4(insert_slb(sK1,pair(sK5(sK1),sK4(sK1)))),sK5(insert_slb(sK1,pair(sK5(sK1),sK4(sK1))))) | ~spl8_23), 2.33/2.52 inference(unit_resulting_resolution,[],[f253,f101])). 2.33/2.52 fof(f253,plain,( 2.33/2.52 ~check_cpq(triple(sK0,insert_slb(sK1,pair(sK5(sK1),sK4(sK1))),sK2)) | ~spl8_23), 2.33/2.52 inference(avatar_component_clause,[],[f252])). 2.33/2.52 fof(f367,plain,( 2.33/2.52 ~spl8_33 | spl8_23), 2.33/2.52 inference(avatar_split_clause,[],[f356,f252,f365])). 2.33/2.52 fof(f365,plain,( 2.33/2.52 spl8_33 <=> ~less_than(sK5(insert_slb(sK1,pair(sK5(sK1),sK4(sK1)))),sK4(insert_slb(sK1,pair(sK5(sK1),sK4(sK1)))))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_33])])). 2.33/2.52 fof(f356,plain,( 2.33/2.52 ~less_than(sK5(insert_slb(sK1,pair(sK5(sK1),sK4(sK1)))),sK4(insert_slb(sK1,pair(sK5(sK1),sK4(sK1))))) | ~spl8_23), 2.33/2.52 inference(unit_resulting_resolution,[],[f253,f102])). 2.33/2.52 fof(f363,plain,( 2.33/2.52 ~spl8_31 | ~spl8_10 | spl8_23), 2.33/2.52 inference(avatar_split_clause,[],[f359,f252,f196,f361])). 2.33/2.52 fof(f361,plain,( 2.33/2.52 spl8_31 <=> ~check_cpq(triple(sK0,insert_slb(insert_slb(sK1,pair(sK5(sK1),sK4(sK1))),pair(sK5(sK1),sK4(sK1))),sK2))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_31])])). 2.33/2.52 fof(f196,plain,( 2.33/2.52 spl8_10 <=> less_than(sK4(sK1),sK5(sK1))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_10])])). 2.33/2.52 fof(f359,plain,( 2.33/2.52 ~check_cpq(triple(sK0,insert_slb(insert_slb(sK1,pair(sK5(sK1),sK4(sK1))),pair(sK5(sK1),sK4(sK1))),sK2)) | (~spl8_10 | ~spl8_23)), 2.33/2.52 inference(unit_resulting_resolution,[],[f197,f253,f145])). 2.33/2.52 fof(f197,plain,( 2.33/2.52 less_than(sK4(sK1),sK5(sK1)) | ~spl8_10), 2.33/2.52 inference(avatar_component_clause,[],[f196])). 2.33/2.52 fof(f353,plain,( 2.33/2.52 ~spl8_29 | ~spl8_10), 2.33/2.52 inference(avatar_split_clause,[],[f341,f196,f351])). 2.33/2.52 fof(f351,plain,( 2.33/2.52 spl8_29 <=> ~strictly_less_than(sK5(sK1),sK4(sK1))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_29])])). 2.33/2.52 fof(f341,plain,( 2.33/2.52 ~strictly_less_than(sK5(sK1),sK4(sK1)) | ~spl8_10), 2.33/2.52 inference(unit_resulting_resolution,[],[f241,f144])). 2.33/2.52 fof(f144,plain,( 2.33/2.52 ( ! [X4,X2,X0,X3,X1] : (~strictly_less_than(X3,X4) | ~check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))) )), 2.33/2.52 inference(cnf_transformation,[],[f83])). 2.33/2.52 fof(f83,plain,( 2.33/2.52 ! [X0,X1,X2,X3,X4] : (~check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) | ~strictly_less_than(X3,X4))), 2.33/2.52 inference(ennf_transformation,[],[f52])). 2.33/2.52 fof(f52,plain,( 2.33/2.52 ! [X0,X1,X2,X3,X4] : (strictly_less_than(X3,X4) => ~check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)))), 2.33/2.52 inference(flattening,[],[f51])). 2.33/2.52 fof(f51,plain,( 2.33/2.52 ! [X0,X1,X2,X3,X4] : (strictly_less_than(X3,X4) => ~check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)))), 2.33/2.52 inference(true_and_false_elimination,[],[f36])). 2.33/2.52 fof(f36,axiom,( 2.33/2.52 ! [X0,X1,X2,X3,X4] : (strictly_less_than(X3,X4) => (check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) <=> $false))), 2.33/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38)). 2.33/2.52 fof(f241,plain,( 2.33/2.52 ( ! [X0,X1] : (check_cpq(triple(X0,insert_slb(create_slb,pair(sK5(sK1),sK4(sK1))),X1))) ) | ~spl8_10), 2.33/2.52 inference(unit_resulting_resolution,[],[f112,f197,f146])). 2.33/2.52 fof(f146,plain,( 2.33/2.52 ( ! [X4,X2,X0,X3,X1] : (~less_than(X4,X3) | ~check_cpq(triple(X0,X1,X2)) | check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))) )), 2.33/2.52 inference(cnf_transformation,[],[f95])). 2.33/2.52 fof(f112,plain,( 2.33/2.52 ( ! [X0,X1] : (check_cpq(triple(X0,create_slb,X1))) )), 2.33/2.52 inference(cnf_transformation,[],[f19])). 2.33/2.52 fof(f19,axiom,( 2.33/2.52 ! [X0,X1] : check_cpq(triple(X0,create_slb,X1))), 2.33/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36)). 2.33/2.52 fof(f349,plain,( 2.33/2.52 ~spl8_27 | ~spl8_10), 2.33/2.52 inference(avatar_split_clause,[],[f342,f196,f347])). 2.33/2.52 fof(f347,plain,( 2.33/2.52 spl8_27 <=> ~sP7(insert_slb(create_slb,pair(sK5(sK1),sK4(sK1))))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_27])])). 2.33/2.52 fof(f342,plain,( 2.33/2.52 ~sP7(insert_slb(create_slb,pair(sK5(sK1),sK4(sK1)))) | ~spl8_10), 2.33/2.52 inference(unit_resulting_resolution,[],[f241,f161])). 2.33/2.52 fof(f313,plain,( 2.33/2.52 spl8_24 | spl8_3), 2.33/2.52 inference(avatar_split_clause,[],[f310,f167,f307])). 2.33/2.52 fof(f307,plain,( 2.33/2.52 spl8_24 <=> sP6(sK4(insert_slb(sK1,pair(bottom,bottom))),insert_slb(sK1,pair(bottom,bottom)))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_24])])). 2.33/2.52 fof(f310,plain,( 2.33/2.52 sP6(sK4(insert_slb(sK1,pair(bottom,bottom))),insert_slb(sK1,pair(bottom,bottom))) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f212,f216,f158])). 2.33/2.52 fof(f216,plain,( 2.33/2.52 ( ! [X0] : (pair_in_list(insert_slb(sK1,pair(X0,X0)),sK4(insert_slb(sK1,pair(X0,X0))),sK5(insert_slb(sK1,pair(X0,X0))))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f171,f101])). 2.33/2.52 fof(f309,plain,( 2.33/2.52 spl8_24 | spl8_3), 2.33/2.52 inference(avatar_split_clause,[],[f304,f167,f307])). 2.33/2.52 fof(f304,plain,( 2.33/2.52 sP6(sK4(insert_slb(sK1,pair(bottom,bottom))),insert_slb(sK1,pair(bottom,bottom))) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f217,f211,f158])). 2.33/2.52 fof(f211,plain,( 2.33/2.52 ( ! [X0] : (pair_in_list(insert_slb(sK1,pair(X0,bottom)),sK4(insert_slb(sK1,pair(X0,bottom))),sK5(insert_slb(sK1,pair(X0,bottom))))) ) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f170,f101])). 2.33/2.52 fof(f254,plain,( 2.33/2.52 ~spl8_23 | spl8_3 | ~spl8_10), 2.33/2.52 inference(avatar_split_clause,[],[f238,f196,f167,f252])). 2.33/2.52 fof(f238,plain,( 2.33/2.52 ~check_cpq(triple(sK0,insert_slb(sK1,pair(sK5(sK1),sK4(sK1))),sK2)) | (~spl8_3 | ~spl8_10)), 2.33/2.52 inference(unit_resulting_resolution,[],[f168,f197,f145])). 2.33/2.52 fof(f250,plain,( 2.33/2.52 spl8_20 | spl8_7 | ~spl8_10), 2.33/2.52 inference(avatar_split_clause,[],[f246,f196,f179,f248])). 2.33/2.52 fof(f248,plain,( 2.33/2.52 spl8_20 <=> strictly_less_than(sK4(sK1),sK5(sK1))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_20])])). 2.33/2.52 fof(f179,plain,( 2.33/2.52 spl8_7 <=> ~less_than(sK5(sK1),sK4(sK1))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_7])])). 2.33/2.52 fof(f246,plain,( 2.33/2.52 strictly_less_than(sK4(sK1),sK5(sK1)) | (~spl8_7 | ~spl8_10)), 2.33/2.52 inference(unit_resulting_resolution,[],[f180,f197,f118])). 2.33/2.52 fof(f180,plain,( 2.33/2.52 ~less_than(sK5(sK1),sK4(sK1)) | ~spl8_7), 2.33/2.52 inference(avatar_component_clause,[],[f179])). 2.33/2.52 fof(f237,plain,( 2.33/2.52 spl8_18 | ~spl8_14), 2.33/2.52 inference(avatar_split_clause,[],[f233,f207,f235])). 2.33/2.52 fof(f207,plain,( 2.33/2.52 spl8_14 <=> sP6(sK4(sK1),sK1)), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_14])])). 2.33/2.52 fof(f233,plain,( 2.33/2.52 sP7(sK1) | ~spl8_14), 2.33/2.52 inference(unit_resulting_resolution,[],[f208,f160])). 2.33/2.52 fof(f208,plain,( 2.33/2.52 sP6(sK4(sK1),sK1) | ~spl8_14), 2.33/2.52 inference(avatar_component_clause,[],[f207])). 2.33/2.52 fof(f232,plain,( 2.33/2.52 spl8_16 | spl8_13), 2.33/2.52 inference(avatar_split_clause,[],[f226,f201,f230])). 2.33/2.52 fof(f230,plain,( 2.33/2.52 spl8_16 <=> strictly_less_than(bottom,sK5(sK1))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_16])])). 2.33/2.52 fof(f201,plain,( 2.33/2.52 spl8_13 <=> ~less_than(sK5(sK1),bottom)), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_13])])). 2.33/2.52 fof(f226,plain,( 2.33/2.52 strictly_less_than(bottom,sK5(sK1)) | ~spl8_13), 2.33/2.52 inference(unit_resulting_resolution,[],[f105,f202,f118])). 2.33/2.52 fof(f202,plain,( 2.33/2.52 ~less_than(sK5(sK1),bottom) | ~spl8_13), 2.33/2.52 inference(avatar_component_clause,[],[f201])). 2.33/2.52 fof(f209,plain,( 2.33/2.52 spl8_14 | spl8_7 | ~spl8_8), 2.33/2.52 inference(avatar_split_clause,[],[f204,f185,f179,f207])). 2.33/2.52 fof(f185,plain,( 2.33/2.52 spl8_8 <=> pair_in_list(sK1,sK4(sK1),sK5(sK1))), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_8])])). 2.33/2.52 fof(f204,plain,( 2.33/2.52 sP6(sK4(sK1),sK1) | (~spl8_7 | ~spl8_8)), 2.33/2.52 inference(unit_resulting_resolution,[],[f180,f186,f158])). 2.33/2.52 fof(f186,plain,( 2.33/2.52 pair_in_list(sK1,sK4(sK1),sK5(sK1)) | ~spl8_8), 2.33/2.52 inference(avatar_component_clause,[],[f185])). 2.33/2.52 fof(f203,plain,( 2.33/2.52 ~spl8_13 | spl8_7), 2.33/2.52 inference(avatar_split_clause,[],[f191,f179,f201])). 2.33/2.52 fof(f191,plain,( 2.33/2.52 ~less_than(sK5(sK1),bottom) | ~spl8_7), 2.33/2.52 inference(unit_resulting_resolution,[],[f105,f180,f126])). 2.33/2.52 fof(f126,plain,( 2.33/2.52 ( ! [X2,X0,X1] : (~less_than(X1,X2) | less_than(X0,X2) | ~less_than(X0,X1)) )), 2.33/2.52 inference(cnf_transformation,[],[f64])). 2.33/2.52 fof(f64,plain,( 2.33/2.52 ! [X0,X1,X2] : (less_than(X0,X2) | ~less_than(X1,X2) | ~less_than(X0,X1))), 2.33/2.52 inference(flattening,[],[f63])). 2.33/2.52 fof(f63,plain,( 2.33/2.52 ! [X0,X1,X2] : (less_than(X0,X2) | (~less_than(X1,X2) | ~less_than(X0,X1)))), 2.33/2.52 inference(ennf_transformation,[],[f5])). 2.33/2.52 fof(f5,axiom,( 2.33/2.52 ! [X0,X1,X2] : ((less_than(X1,X2) & less_than(X0,X1)) => less_than(X0,X2))), 2.33/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity)). 2.33/2.52 fof(f199,plain,( 2.33/2.52 spl8_10 | spl8_7), 2.33/2.52 inference(avatar_split_clause,[],[f193,f179,f196])). 2.33/2.52 fof(f193,plain,( 2.33/2.52 less_than(sK4(sK1),sK5(sK1)) | ~spl8_7), 2.33/2.52 inference(unit_resulting_resolution,[],[f180,f115])). 2.33/2.52 fof(f198,plain,( 2.33/2.52 spl8_10 | spl8_7), 2.33/2.52 inference(avatar_split_clause,[],[f194,f179,f196])). 2.33/2.52 fof(f194,plain,( 2.33/2.52 less_than(sK4(sK1),sK5(sK1)) | ~spl8_7), 2.33/2.52 inference(unit_resulting_resolution,[],[f180,f115])). 2.33/2.52 fof(f187,plain,( 2.33/2.52 spl8_8 | spl8_3), 2.33/2.52 inference(avatar_split_clause,[],[f182,f167,f185])). 2.33/2.52 fof(f182,plain,( 2.33/2.52 pair_in_list(sK1,sK4(sK1),sK5(sK1)) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f168,f101])). 2.33/2.52 fof(f181,plain,( 2.33/2.52 ~spl8_7 | spl8_3), 2.33/2.52 inference(avatar_split_clause,[],[f177,f167,f179])). 2.33/2.52 fof(f177,plain,( 2.33/2.52 ~less_than(sK5(sK1),sK4(sK1)) | ~spl8_3), 2.33/2.52 inference(unit_resulting_resolution,[],[f168,f102])). 2.33/2.52 fof(f176,plain,( 2.33/2.52 ~spl8_5), 2.33/2.52 inference(avatar_split_clause,[],[f172,f174])). 2.33/2.52 fof(f174,plain,( 2.33/2.52 spl8_5 <=> ~sP7(create_slb)), 2.33/2.52 introduced(avatar_definition,[new_symbols(naming,[spl8_5])])). 2.33/2.52 fof(f172,plain,( 2.33/2.52 ~sP7(create_slb)), 2.33/2.52 inference(unit_resulting_resolution,[],[f112,f161])). 2.33/2.52 fof(f169,plain,( 2.33/2.52 ~spl8_3), 2.33/2.52 inference(avatar_split_clause,[],[f98,f167])). 2.33/2.52 fof(f98,plain,( 2.33/2.52 ~check_cpq(triple(sK0,sK1,sK2))), 2.33/2.52 inference(cnf_transformation,[],[f87])). 2.33/2.52 fof(f87,plain,( 2.33/2.52 check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3)) & ~check_cpq(triple(sK0,sK1,sK2))), 2.33/2.52 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f54,f86,f85])). 2.33/2.52 fof(f85,plain,( 2.33/2.52 ? [X0,X1,X2] : (? [X3] : check_cpq(insert_cpq(triple(X0,X1,X2),X3)) & ~check_cpq(triple(X0,X1,X2))) => (? [X3] : check_cpq(insert_cpq(triple(sK0,sK1,sK2),X3)) & ~check_cpq(triple(sK0,sK1,sK2)))), 2.33/2.52 introduced(choice_axiom,[])). 2.33/2.52 fof(f86,plain,( 2.33/2.52 ( ! [X2,X0,X1] : (? [X3] : check_cpq(insert_cpq(triple(X0,X1,X2),X3)) => check_cpq(insert_cpq(triple(X0,X1,X2),sK3))) )), 2.33/2.52 introduced(choice_axiom,[])). 2.33/2.52 fof(f54,plain,( 2.33/2.52 ? [X0,X1,X2] : (? [X3] : check_cpq(insert_cpq(triple(X0,X1,X2),X3)) & ~check_cpq(triple(X0,X1,X2)))), 2.33/2.52 inference(ennf_transformation,[],[f43])). 2.33/2.52 fof(f43,negated_conjecture,( 2.33/2.52 ~! [X0,X1,X2] : (~check_cpq(triple(X0,X1,X2)) => ! [X3] : ~check_cpq(insert_cpq(triple(X0,X1,X2),X3)))), 2.33/2.52 inference(negated_conjecture,[],[f42])). 2.33/2.52 fof(f42,conjecture,( 2.33/2.52 ! [X0,X1,X2] : (~check_cpq(triple(X0,X1,X2)) => ! [X3] : ~check_cpq(insert_cpq(triple(X0,X1,X2),X3)))), 2.33/2.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l26_co)). 2.33/2.52 fof(f165,plain,( 2.33/2.52 spl8_0), 2.33/2.52 inference(avatar_split_clause,[],[f99,f163])). 2.33/2.52 fof(f99,plain,( 2.33/2.52 check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3))), 2.33/2.52 inference(cnf_transformation,[],[f87])). 2.33/2.52 % SZS output end Proof for theBenchmark 2.33/2.52 % ------------------------------ 2.33/2.52 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.33/2.52 % Termination reason: Refutation 2.33/2.52 2.33/2.52 % Memory used [KB]: 5756 2.33/2.52 % Time elapsed: 0.038 s 2.33/2.52 % ------------------------------ 2.33/2.52 % ------------------------------ 2.33/2.52 % Success in time 2.18 s 2.33/2.52 EOF