0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.10 % Command : vampire --mode casc -t %d %s 0.09/0.30 % Computer : n012.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % DateTime : Thu Jul 2 08:31:15 EDT 2020 0.09/0.31 % CPUTime : 0.14/0.37 % lrs+1011_5_afr=on:afp=100000:afq=1.0:amm=off:anc=none:cond=on:lma=on:nm=6:nwc=1:sas=z3:stl=30:sac=on:urr=on_18 on theBenchmark 2.66/2.87 % Time limit reached! 2.66/2.87 % ------------------------------ 2.66/2.87 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.66/2.87 % Termination reason: Time limit 2.66/2.87 % Termination phase: Saturation 2.66/2.87 2.66/2.87 % Memory used [KB]: 23155 2.66/2.87 % Time elapsed: 2.500 s 2.66/2.87 % ------------------------------ 2.66/2.87 % ------------------------------ 2.71/2.93 % lrs+4_14_afr=on:afp=4000:afq=1.1:anc=none:cond=on:gs=on:gsem=on:irw=on:lma=on:nm=6:nwc=1.1:sas=z3:stl=30:sd=4:ss=axioms:st=1.2:sos=all:updr=off_51 on theBenchmark 9.62/9.73 % Time limit reached! 9.62/9.73 % ------------------------------ 9.62/9.73 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 9.62/9.73 % Termination reason: Time limit 9.62/9.73 % Termination phase: Saturation 9.62/9.73 9.62/9.73 % Memory used [KB]: 16886 9.62/9.73 % Time elapsed: 6.800 s 9.62/9.73 % ------------------------------ 9.62/9.73 % ------------------------------ 9.65/9.79 % lrs+11_1024_afr=on:afp=40000:afq=2.0:anc=none:br=off:ep=RSTC:gs=on:nm=16:nwc=1:stl=30:sp=occurrence:urr=on_118 on theBenchmark 25.30/25.29 % Time limit reached! 25.30/25.29 % ------------------------------ 25.30/25.29 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 25.30/25.29 % Termination reason: Time limit 25.30/25.29 % Termination phase: Saturation 25.30/25.29 25.30/25.29 % Memory used [KB]: 517731 25.30/25.29 % Time elapsed: 15.500 s 25.30/25.29 % ------------------------------ 25.30/25.29 % ------------------------------ 25.36/25.38 % dis+1010_10_afr=on:afp=100000:afq=2.0:amm=sco:anc=none:ep=RS:fde=unused:gs=on:nwc=1:sos=on:sac=on:sp=occurrence_22 on theBenchmark 25.36/25.39 % Refutation not found, incomplete strategy 25.36/25.39 % ------------------------------ 25.36/25.39 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 25.36/25.39 % Termination reason: Refutation not found, incomplete strategy 25.36/25.39 25.36/25.39 % Memory used [KB]: 9978 25.36/25.39 % Time elapsed: 0.015 s 25.36/25.39 % ------------------------------ 25.36/25.39 % ------------------------------ 25.44/25.45 % lrs+1010_32_afr=on:anc=none:bd=off:fsr=off:gs=on:gsem=on:nwc=1.3:nicw=on:sas=z3:stl=30:updr=off_63 on theBenchmark 33.81/33.74 % Time limit reached! 33.81/33.74 % ------------------------------ 33.81/33.74 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 33.81/33.74 % Termination reason: Time limit 33.81/33.74 % Termination phase: Saturation 33.81/33.74 33.81/33.74 % Memory used [KB]: 82770 33.81/33.74 % Time elapsed: 8.300 s 33.81/33.74 % ------------------------------ 33.81/33.74 % ------------------------------ 33.86/33.83 % lrs+10_4:1_add=large:afp=100000:afq=1.1:anc=none:ep=RST:fde=unused:gsp=input_only:nm=6:newcnf=on:nwc=1:stl=30:sos=all:sac=on:sp=reverse_arity:urr=ec_only_20 on theBenchmark 36.71/36.62 % Time limit reached! 36.71/36.62 % ------------------------------ 36.71/36.62 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 36.71/36.62 % Termination reason: Time limit 36.71/36.62 % Termination phase: Saturation 36.71/36.62 36.71/36.62 % Memory used [KB]: 48485 36.71/36.62 % Time elapsed: 2.800 s 36.71/36.62 % ------------------------------ 36.71/36.62 % ------------------------------ 36.71/36.66 % lrs+1011_4:1_acc=model:add=large:afp=40000:afq=1.4:ccuc=first:cond=on:fsr=off:gsp=input_only:gs=on:gsem=off:irw=on:nwc=1:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:urr=on_42 on theBenchmark 36.76/36.79 % Refutation found. Thanks to Tanya! 36.76/36.79 % SZS status Theorem for theBenchmark 36.76/36.79 % SZS output start Proof for theBenchmark 36.76/36.79 fof(f7732,plain,( 36.76/36.79 $false), 36.76/36.79 inference(avatar_sat_refutation,[],[f647,f654,f666,f754,f765,f1307,f1959,f2030,f5076,f7042,f7548,f7557,f7575])). 36.76/36.79 fof(f7575,plain,( 36.76/36.79 ~spl55_129 | spl55_67 | ~spl55_206), 36.76/36.79 inference(avatar_split_clause,[],[f7574,f1970,f645,f1318])). 36.76/36.79 fof(f1318,plain,( 36.76/36.79 spl55_129 <=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14)))), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_129])])). 36.76/36.79 fof(f645,plain,( 36.76/36.79 spl55_67 <=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13)))))), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_67])])). 36.76/36.79 fof(f1970,plain,( 36.76/36.79 spl55_206 <=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13)))))), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_206])])). 36.76/36.79 fof(f7574,plain,( 36.76/36.79 s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14))) | (~spl55_67 | ~spl55_206)), 36.76/36.79 inference(backward_demodulation,[],[f1971,f646])). 36.76/36.79 fof(f646,plain,( 36.76/36.79 s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13))))) | ~spl55_67), 36.76/36.79 inference(avatar_component_clause,[],[f645])). 36.76/36.79 fof(f1971,plain,( 36.76/36.79 s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13))))) | ~spl55_206), 36.76/36.79 inference(avatar_component_clause,[],[f1970])). 36.76/36.79 fof(f7557,plain,( 36.76/36.79 ~spl55_199 | spl55_227 | ~spl55_294), 36.76/36.79 inference(avatar_split_clause,[],[f7556,f7040,f2221,f1938])). 36.76/36.79 fof(f1938,plain,( 36.76/36.79 spl55_199 <=> ~p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14))))), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_199])])). 36.76/36.79 fof(f2221,plain,( 36.76/36.79 spl55_227 <=> ~p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13))))))), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_227])])). 36.76/36.79 fof(f7040,plain,( 36.76/36.79 spl55_294 <=> ! [X12] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,X12))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X12),s(tyop_2Einteger_2Eint,sK13)))))), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_294])])). 36.76/36.79 fof(f7556,plain,( 36.76/36.79 ~p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14)))) | (~spl55_227 | ~spl55_294)), 36.76/36.79 inference(forward_demodulation,[],[f2222,f7041])). 36.76/36.79 fof(f7041,plain,( 36.76/36.79 ( ! [X12] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,X12))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X12),s(tyop_2Einteger_2Eint,sK13)))))) ) | ~spl55_294), 36.76/36.79 inference(avatar_component_clause,[],[f7040])). 36.76/36.79 fof(f2222,plain,( 36.76/36.79 ~p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13)))))) | ~spl55_227), 36.76/36.79 inference(avatar_component_clause,[],[f2221])). 36.76/36.79 fof(f7548,plain,( 36.76/36.79 spl55_198 | spl55_207 | ~spl55_294), 36.76/36.79 inference(avatar_split_clause,[],[f7547,f7040,f1973,f1941])). 36.76/36.79 fof(f1941,plain,( 36.76/36.79 spl55_198 <=> p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14))))), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_198])])). 36.76/36.79 fof(f1973,plain,( 36.76/36.79 spl55_207 <=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13)))))), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_207])])). 36.76/36.79 fof(f7547,plain,( 36.76/36.79 p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14)))) | (~spl55_207 | ~spl55_294)), 36.76/36.79 inference(forward_demodulation,[],[f1977,f7041])). 36.76/36.79 fof(f1977,plain,( 36.76/36.79 p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13)))))) | ~spl55_207), 36.76/36.79 inference(unit_resulting_resolution,[],[f1974,f226])). 36.76/36.79 fof(f226,plain,( 36.76/36.79 ( ! [X0] : (p(s(tyop_2Emin_2Ebool,X0)) | s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)) )), 36.76/36.79 inference(cnf_transformation,[],[f135])). 36.76/36.79 fof(f135,plain,( 36.76/36.79 ! [X0] : ((s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) | ~p(s(tyop_2Emin_2Ebool,X0))) & (p(s(tyop_2Emin_2Ebool,X0)) | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)) & (s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) | p(s(tyop_2Emin_2Ebool,X0))) & (~p(s(tyop_2Emin_2Ebool,X0)) | s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X0)) & (~p(s(tyop_2Emin_2Ebool,X0)) | s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X0)) & (s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) | p(s(tyop_2Emin_2Ebool,X0))) & (s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) | ~p(s(tyop_2Emin_2Ebool,X0))) & (p(s(tyop_2Emin_2Ebool,X0)) | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0)))), 36.76/36.79 inference(flattening,[],[f134])). 36.76/36.79 fof(f134,plain,( 36.76/36.79 ! [X0] : (((s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) | ~p(s(tyop_2Emin_2Ebool,X0))) & (p(s(tyop_2Emin_2Ebool,X0)) | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0))) & ((s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) | p(s(tyop_2Emin_2Ebool,X0))) & (~p(s(tyop_2Emin_2Ebool,X0)) | s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X0))) & ((~p(s(tyop_2Emin_2Ebool,X0)) | s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X0)) & (s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) | p(s(tyop_2Emin_2Ebool,X0)))) & ((s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) | ~p(s(tyop_2Emin_2Ebool,X0))) & (p(s(tyop_2Emin_2Ebool,X0)) | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0))))), 36.76/36.79 inference(nnf_transformation,[],[f60])). 36.76/36.79 fof(f60,plain,( 36.76/36.79 ! [X0] : ((s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) <=> p(s(tyop_2Emin_2Ebool,X0))) & (s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) <=> ~p(s(tyop_2Emin_2Ebool,X0))) & (~p(s(tyop_2Emin_2Ebool,X0)) <=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)) & (s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) <=> p(s(tyop_2Emin_2Ebool,X0))))), 36.76/36.79 inference(rectify,[],[f3])). 36.76/36.79 fof(f3,axiom,( 36.76/36.79 ! [X2] : ((s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X2) <=> p(s(tyop_2Emin_2Ebool,X2))) & (s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X2) <=> ~p(s(tyop_2Emin_2Ebool,X2))) & (~p(s(tyop_2Emin_2Ebool,X2)) <=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X2)) & (s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X2) <=> p(s(tyop_2Emin_2Ebool,X2))))), 36.76/36.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES)). 36.76/36.79 fof(f1974,plain,( 36.76/36.79 s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13))))) | ~spl55_207), 36.76/36.79 inference(avatar_component_clause,[],[f1973])). 36.76/36.79 fof(f7042,plain,( 36.76/36.79 spl55_294 | ~spl55_79 | ~spl55_80), 36.76/36.79 inference(avatar_split_clause,[],[f7026,f762,f749,f7040])). 36.76/36.79 fof(f749,plain,( 36.76/36.79 spl55_79 <=> ~p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_79])])). 36.76/36.79 fof(f762,plain,( 36.76/36.79 spl55_80 <=> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK13)))), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_80])])). 36.76/36.79 fof(f7026,plain,( 36.76/36.79 ( ! [X12] : (~p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) | s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,X12))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X12),s(tyop_2Einteger_2Eint,sK13)))))) ) | ~spl55_80), 36.76/36.79 inference(superposition,[],[f1422,f763])). 36.76/36.79 fof(f763,plain,( 36.76/36.79 s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK13))) | ~spl55_80), 36.76/36.79 inference(avatar_component_clause,[],[f762])). 36.76/36.79 fof(f1422,plain,( 36.76/36.79 ( ! [X4,X5,X3] : (~p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X3),s(tyop_2Einteger_2Eint,X4)))) | s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X3),s(tyop_2Einteger_2Eint,X5))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X3),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X5),s(tyop_2Einteger_2Eint,X4)))))) )), 36.76/36.79 inference(forward_demodulation,[],[f1414,f230])). 36.76/36.79 fof(f230,plain,( 36.76/36.79 ( ! [X0,X1] : (s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X1)))))) )), 36.76/36.79 inference(cnf_transformation,[],[f61])). 36.76/36.79 fof(f61,plain,( 36.76/36.79 ! [X0,X1] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X1)))))), 36.76/36.79 inference(rectify,[],[f24])). 36.76/36.79 fof(f24,axiom,( 36.76/36.79 ! [X24,X25] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X25)))))), 36.76/36.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2Eint__sub)). 36.76/36.79 fof(f1414,plain,( 36.76/36.79 ( ! [X4,X5,X3] : (~p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X3),s(tyop_2Einteger_2Eint,X4)))) | s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X3),s(tyop_2Einteger_2Eint,X5))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X3),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X5),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X4)))))))) )), 36.76/36.79 inference(superposition,[],[f342,f344])). 36.76/36.79 fof(f344,plain,( 36.76/36.79 ( ! [X0,X1] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X1)))))) )), 36.76/36.79 inference(cnf_transformation,[],[f79])). 36.76/36.79 fof(f79,plain,( 36.76/36.79 ! [X0,X1] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X1))))) & s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X0))),s(tyop_2Einteger_2Eint,X1))))), 36.76/36.79 inference(rectify,[],[f26])). 36.76/36.79 fof(f26,axiom,( 36.76/36.79 ! [X17,X18] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X17),s(tyop_2Einteger_2Eint,X18))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X17),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X18))))) & s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X17),s(tyop_2Einteger_2Eint,X18))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X17))),s(tyop_2Einteger_2Eint,X18))))), 36.76/36.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG)). 36.76/36.79 fof(f342,plain,( 36.76/36.79 ( ! [X2,X0,X1] : (~p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1)))) | s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X1)))))) )), 36.76/36.79 inference(cnf_transformation,[],[f99])). 36.76/36.79 fof(f99,plain,( 36.76/36.79 ! [X0,X1,X2] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X1))))) | ~p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1)))))), 36.76/36.79 inference(ennf_transformation,[],[f78])). 36.76/36.79 fof(f78,plain,( 36.76/36.79 ! [X0,X1,X2] : (p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1)))) => s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X1))))))), 36.76/36.79 inference(rectify,[],[f50])). 36.76/36.79 fof(f50,axiom,( 36.76/36.79 ! [X17,X18,X19] : (p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X17),s(tyop_2Einteger_2Eint,X18)))) => s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X17),s(tyop_2Einteger_2Eint,X19))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X17),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X19),s(tyop_2Einteger_2Eint,X18))))))), 36.76/36.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RADD)). 36.76/36.79 fof(f5076,plain,( 36.76/36.79 ~spl55_199 | spl55_32 | ~spl55_227 | ~spl55_124), 36.76/36.79 inference(avatar_split_clause,[],[f4059,f1305,f2221,f526,f1938])). 36.76/36.79 fof(f526,plain,( 36.76/36.79 spl55_32 <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_32])])). 36.76/36.79 fof(f1305,plain,( 36.76/36.79 spl55_124 <=> sP3(c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14)),c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13)))),c_2Ebool_2EF_2E0)), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_124])])). 36.76/36.79 fof(f4059,plain,( 36.76/36.79 ~p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13)))))) | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) | ~p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14)))) | ~spl55_124), 36.76/36.79 inference(resolution,[],[f1306,f194])). 36.76/36.79 fof(f194,plain,( 36.76/36.79 ( ! [X2,X0,X1] : (~sP3(X0,X1,X2) | ~p(s(tyop_2Emin_2Ebool,X1)) | p(s(tyop_2Emin_2Ebool,X2)) | ~p(s(tyop_2Emin_2Ebool,X0))) )), 36.76/36.79 inference(cnf_transformation,[],[f123])). 36.76/36.79 fof(f123,plain,( 36.76/36.79 ! [X0,X1,X2] : ((sP3(X0,X1,X2) | (p(s(tyop_2Emin_2Ebool,X0)) & p(s(tyop_2Emin_2Ebool,X1)) & ~p(s(tyop_2Emin_2Ebool,X2))) | ~sP2(X0,X1,X2) | ~sP1(X0,X2,X1) | ~sP0(X1,X0,X2)) & (((~p(s(tyop_2Emin_2Ebool,X0)) | ~p(s(tyop_2Emin_2Ebool,X1)) | p(s(tyop_2Emin_2Ebool,X2))) & sP2(X0,X1,X2) & sP1(X0,X2,X1) & sP0(X1,X0,X2)) | ~sP3(X0,X1,X2)))), 36.76/36.79 inference(flattening,[],[f122])). 36.76/36.79 fof(f122,plain,( 36.76/36.79 ! [X0,X1,X2] : ((sP3(X0,X1,X2) | ((p(s(tyop_2Emin_2Ebool,X0)) & p(s(tyop_2Emin_2Ebool,X1)) & ~p(s(tyop_2Emin_2Ebool,X2))) | ~sP2(X0,X1,X2) | ~sP1(X0,X2,X1) | ~sP0(X1,X0,X2))) & (((~p(s(tyop_2Emin_2Ebool,X0)) | ~p(s(tyop_2Emin_2Ebool,X1)) | p(s(tyop_2Emin_2Ebool,X2))) & sP2(X0,X1,X2) & sP1(X0,X2,X1) & sP0(X1,X0,X2)) | ~sP3(X0,X1,X2)))), 36.76/36.79 inference(nnf_transformation,[],[f103])). 36.76/36.79 fof(f103,plain,( 36.76/36.79 ! [X0,X1,X2] : (sP3(X0,X1,X2) <=> ((~p(s(tyop_2Emin_2Ebool,X0)) | ~p(s(tyop_2Emin_2Ebool,X1)) | p(s(tyop_2Emin_2Ebool,X2))) & sP2(X0,X1,X2) & sP1(X0,X2,X1) & sP0(X1,X0,X2)))), 36.76/36.79 introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])])). 36.76/36.79 fof(f1306,plain,( 36.76/36.79 sP3(c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14)),c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13)))),c_2Ebool_2EF_2E0) | ~spl55_124), 36.76/36.79 inference(avatar_component_clause,[],[f1305])). 36.76/36.79 fof(f2030,plain,( 36.76/36.79 s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14))) | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) | ~p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14))))), 36.76/36.79 introduced(theory_axiom,[])). 36.76/36.79 fof(f1959,plain,( 36.76/36.79 spl55_198 | spl55_129), 36.76/36.79 inference(avatar_split_clause,[],[f1903,f1318,f1941])). 36.76/36.79 fof(f1903,plain,( 36.76/36.79 p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14)))) | ~spl55_129), 36.76/36.79 inference(unit_resulting_resolution,[],[f1319,f226])). 36.76/36.79 fof(f1319,plain,( 36.76/36.79 s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14))) | ~spl55_129), 36.76/36.79 inference(avatar_component_clause,[],[f1318])). 36.76/36.79 fof(f1307,plain,( 36.76/36.79 spl55_124 | spl55_33 | spl55_67), 36.76/36.79 inference(avatar_split_clause,[],[f1275,f645,f523,f1305])). 36.76/36.79 fof(f523,plain,( 36.76/36.79 spl55_33 <=> ~p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_33])])). 36.76/36.79 fof(f1275,plain,( 36.76/36.79 sP3(c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14)),c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13)))),c_2Ebool_2EF_2E0) | (~spl55_33 | ~spl55_67)), 36.76/36.79 inference(unit_resulting_resolution,[],[f524,f646,f212])). 36.76/36.79 fof(f212,plain,( 36.76/36.79 ( ! [X2,X0,X1] : (sP3(X0,X1,X2) | p(s(tyop_2Emin_2Ebool,X2)) | s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)) )), 36.76/36.79 inference(cnf_transformation,[],[f132])). 36.76/36.79 fof(f132,plain,( 36.76/36.79 ! [X0,X1,X2] : ((sP3(X0,X1,X2) | ((~p(s(tyop_2Emin_2Ebool,X2)) | s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1)) & (p(s(tyop_2Emin_2Ebool,X2)) | s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)))) & (((s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) | ~p(s(tyop_2Emin_2Ebool,X2))) & (p(s(tyop_2Emin_2Ebool,X2)) | s(tyop_2Emin_2Ebool,X0) != s(tyop_2Emin_2Ebool,X1))) | ~sP3(X0,X1,X2)))), 36.76/36.79 inference(nnf_transformation,[],[f104])). 36.76/36.79 fof(f104,plain,( 36.76/36.79 ! [X0,X1,X2] : (sP3(X0,X1,X2) <=> (s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) <=> p(s(tyop_2Emin_2Ebool,X2))))), 36.76/36.79 inference(definition_folding,[],[f56,f103,f102,f101,f100])). 36.76/36.79 fof(f100,plain,( 36.76/36.79 ! [X1,X0,X2] : (sP0(X1,X0,X2) <=> (p(s(tyop_2Emin_2Ebool,X1)) | p(s(tyop_2Emin_2Ebool,X0)) | p(s(tyop_2Emin_2Ebool,X2))))), 36.76/36.79 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])). 36.76/36.79 fof(f101,plain,( 36.76/36.79 ! [X0,X2,X1] : (sP1(X0,X2,X1) <=> (~p(s(tyop_2Emin_2Ebool,X0)) | ~p(s(tyop_2Emin_2Ebool,X2)) | p(s(tyop_2Emin_2Ebool,X1))))), 36.76/36.79 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])). 36.76/36.79 fof(f102,plain,( 36.76/36.79 ! [X0,X1,X2] : (sP2(X0,X1,X2) <=> (p(s(tyop_2Emin_2Ebool,X0)) | ~p(s(tyop_2Emin_2Ebool,X1)) | ~p(s(tyop_2Emin_2Ebool,X2))))), 36.76/36.79 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])). 36.76/36.79 fof(f56,plain,( 36.76/36.79 ! [X0,X1,X2] : (((~p(s(tyop_2Emin_2Ebool,X0)) | ~p(s(tyop_2Emin_2Ebool,X1)) | p(s(tyop_2Emin_2Ebool,X2))) & (p(s(tyop_2Emin_2Ebool,X0)) | ~p(s(tyop_2Emin_2Ebool,X1)) | ~p(s(tyop_2Emin_2Ebool,X2))) & (~p(s(tyop_2Emin_2Ebool,X0)) | ~p(s(tyop_2Emin_2Ebool,X2)) | p(s(tyop_2Emin_2Ebool,X1))) & (p(s(tyop_2Emin_2Ebool,X1)) | p(s(tyop_2Emin_2Ebool,X0)) | p(s(tyop_2Emin_2Ebool,X2)))) <=> (s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) <=> p(s(tyop_2Emin_2Ebool,X2))))), 36.76/36.79 inference(rectify,[],[f15])). 36.76/36.79 fof(f15,axiom,( 36.76/36.79 ! [X20,X18,X21] : (((~p(s(tyop_2Emin_2Ebool,X20)) | ~p(s(tyop_2Emin_2Ebool,X18)) | p(s(tyop_2Emin_2Ebool,X21))) & (p(s(tyop_2Emin_2Ebool,X20)) | ~p(s(tyop_2Emin_2Ebool,X18)) | ~p(s(tyop_2Emin_2Ebool,X21))) & (~p(s(tyop_2Emin_2Ebool,X20)) | ~p(s(tyop_2Emin_2Ebool,X21)) | p(s(tyop_2Emin_2Ebool,X18))) & (p(s(tyop_2Emin_2Ebool,X18)) | p(s(tyop_2Emin_2Ebool,X20)) | p(s(tyop_2Emin_2Ebool,X21)))) <=> (s(tyop_2Emin_2Ebool,X18) = s(tyop_2Emin_2Ebool,X20) <=> p(s(tyop_2Emin_2Ebool,X21))))), 36.76/36.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Esat_2Edc__eq)). 36.76/36.79 fof(f524,plain,( 36.76/36.79 ~p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) | ~spl55_33), 36.76/36.79 inference(avatar_component_clause,[],[f523])). 36.76/36.79 fof(f765,plain,( 36.76/36.79 spl55_80 | ~spl55_68), 36.76/36.79 inference(avatar_split_clause,[],[f756,f652,f762])). 36.76/36.79 fof(f652,plain,( 36.76/36.79 spl55_68 <=> p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK13))))), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_68])])). 36.76/36.79 fof(f756,plain,( 36.76/36.79 s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK13))) | ~spl55_68), 36.76/36.79 inference(resolution,[],[f228,f653])). 36.76/36.79 fof(f653,plain,( 36.76/36.79 p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK13)))) | ~spl55_68), 36.76/36.79 inference(avatar_component_clause,[],[f652])). 36.76/36.79 fof(f228,plain,( 36.76/36.79 ( ! [X0] : (~p(s(tyop_2Emin_2Ebool,X0)) | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)) )), 36.76/36.79 inference(cnf_transformation,[],[f135])). 36.76/36.79 fof(f754,plain,( 36.76/36.79 spl55_78), 36.76/36.79 inference(avatar_split_clause,[],[f740,f752])). 36.76/36.79 fof(f752,plain,( 36.76/36.79 spl55_78 <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))), 36.76/36.79 introduced(avatar_definition,[new_symbols(naming,[spl55_78])])). 36.76/36.79 fof(f740,plain,( 36.76/36.79 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))), 36.76/36.79 inference(equality_resolution,[],[f227])). 36.76/36.79 fof(f227,plain,( 36.76/36.79 ( ! [X0] : (s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0) | p(s(tyop_2Emin_2Ebool,X0))) )), 36.76/36.79 inference(cnf_transformation,[],[f135])). 36.76/36.79 fof(f666,plain,( 36.76/36.79 ~spl55_33), 36.76/36.79 inference(avatar_split_clause,[],[f341,f523])). 36.76/36.79 fof(f341,plain,( 36.76/36.79 ~p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))), 36.76/36.79 inference(cnf_transformation,[],[f2])). 36.76/36.79 fof(f2,axiom,( 36.76/36.79 ~p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))), 36.76/36.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Enotfalse)). 36.76/36.79 fof(f654,plain,( 36.76/36.79 spl55_68), 36.76/36.79 inference(avatar_split_clause,[],[f188,f652])). 36.76/36.79 fof(f188,plain,( 36.76/36.79 p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK13))))), 36.76/36.79 inference(cnf_transformation,[],[f119])). 36.76/36.79 fof(f119,plain,( 36.76/36.79 s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13))))) & p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK13))))), 36.76/36.79 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f80,f118])). 36.76/36.79 fof(f118,plain,( 36.76/36.79 ? [X0,X1,X2] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X1))))) & p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1))))) => (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13))))) & p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK13)))))), 36.76/36.79 introduced(choice_axiom,[])). 36.76/36.79 fof(f80,plain,( 36.76/36.79 ? [X0,X1,X2] : (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X1))))) & p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1)))))), 36.76/36.79 inference(ennf_transformation,[],[f54])). 36.76/36.79 fof(f54,plain,( 36.76/36.79 ~! [X0,X1,X2] : (p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X1)))) => s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,X2))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X1))))))), 36.76/36.79 inference(rectify,[],[f12])). 36.76/36.79 fof(f12,negated_conjecture,( 36.76/36.79 ~! [X17,X18,X19] : (p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X17),s(tyop_2Einteger_2Eint,X18)))) => s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X17),s(tyop_2Einteger_2Eint,X19))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X17),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X19),s(tyop_2Einteger_2Eint,X18))))))), 36.76/36.79 inference(negated_conjecture,[],[f11])). 36.76/36.79 fof(f11,conjecture,( 36.76/36.79 ! [X17,X18,X19] : (p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X17),s(tyop_2Einteger_2Eint,X18)))) => s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X17),s(tyop_2Einteger_2Eint,X19))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X17),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X19),s(tyop_2Einteger_2Eint,X18))))))), 36.76/36.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB)). 36.76/36.79 fof(f647,plain,( 36.76/36.79 ~spl55_67), 36.76/36.79 inference(avatar_split_clause,[],[f189,f645])). 36.76/36.79 fof(f189,plain,( 36.76/36.79 s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,sK14))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,sK12),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,sK14),s(tyop_2Einteger_2Eint,sK13)))))), 36.76/36.79 inference(cnf_transformation,[],[f119])). 36.76/36.79 % SZS output end Proof for theBenchmark 36.76/36.79 % ------------------------------ 36.76/36.79 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 36.76/36.79 % Termination reason: Refutation 36.76/36.79 36.76/36.79 % Memory used [KB]: 13944 36.76/36.79 % Time elapsed: 0.141 s 36.76/36.79 % ------------------------------ 36.76/36.79 % ------------------------------ 36.76/36.80 % Success in time 36.474 s 36.76/36.80 EOF