0.07/0.12 % Problem : Vampire---4.8_19201 : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.13/0.35 % Computer : n025.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 1440 0.13/0.35 % WCLimit : 180 0.13/0.35 % DateTime : Mon Jul 3 13:01:24 EDT 2023 0.13/0.35 % CPUTime : 0.13/0.35 This is a THF_ problem 0.13/0.36 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.ttE4lc4i3R/Vampire---4.8_19201 -m 12000 -t 180 0.13/0.37 % (19309)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1800ds/96Mi) 0.13/0.37 % (19311)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1800ds/34Mi) 0.13/0.37 % (19312)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1800ds/385Mi) 0.13/0.37 % (19313)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1800ds/17Mi) 0.13/0.37 % (19314)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1800ds/74Mi) 0.13/0.37 % (19315)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1800ds/4Mi) 0.13/0.38 % (19315)Instruction limit reached! 0.13/0.38 % (19315)------------------------------ 0.13/0.38 % (19315)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.38 % (19315)Termination reason: Unknown 0.13/0.38 % (19315)Termination phase: Saturation 0.13/0.38 0.13/0.38 % (19315)Memory used [KB]: 5500 0.13/0.38 % (19315)Time elapsed: 0.005 s 0.13/0.38 % (19315)Instructions burned: 4 (million) 0.13/0.38 % (19315)------------------------------ 0.13/0.38 % (19315)------------------------------ 0.13/0.38 % (19316)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1800ds/915Mi) 0.13/0.38 % (19312)First to succeed. 0.13/0.39 % (19313)Instruction limit reached! 0.13/0.39 % (19313)------------------------------ 0.13/0.39 % (19313)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.39 % (19313)Termination reason: Unknown 0.13/0.39 % (19313)Termination phase: Saturation 0.13/0.39 0.13/0.39 % (19313)Memory used [KB]: 5628 0.13/0.39 % (19313)Time elapsed: 0.013 s 0.13/0.39 % (19313)Instructions burned: 18 (million) 0.13/0.39 % (19313)------------------------------ 0.13/0.39 % (19313)------------------------------ 0.13/0.39 % (19310)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1800ds/36Mi) 0.13/0.39 % (19312)Refutation found. Thanks to Tanya! 0.13/0.39 % SZS status Theorem for Vampire---4 0.13/0.39 % SZS output start Proof for Vampire---4 0.13/0.39 thf(func_def_4, type, sK0: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.13/0.39 thf(func_def_5, type, sK1: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.13/0.39 thf(func_def_6, type, sK2: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.13/0.39 thf(func_def_7, type, sK3: (($i > $o) > ($i > $o) > $o) > $i > $o). 0.13/0.39 thf(func_def_10, type, ph5: !>[X0: $tType]:(X0)). 0.13/0.39 thf(f157,plain,( 0.13/0.39 $false), 0.13/0.39 inference(avatar_sat_refutation,[],[f49,f57,f156])). 0.13/0.39 thf(f156,plain,( 0.13/0.39 ~spl4_1 | spl4_2), 0.13/0.39 inference(avatar_contradiction_clause,[],[f155])). 0.13/0.39 thf(f155,plain,( 0.13/0.39 $false | (~spl4_1 | spl4_2)), 0.13/0.39 inference(subsumption_resolution,[],[f154,f47])). 0.13/0.39 thf(f47,plain,( 0.13/0.39 ((^[Y0 : $i]: ($false)) != (^[Y0 : $i]: ($true))) | spl4_2), 0.13/0.39 inference(avatar_component_clause,[],[f46])). 0.13/0.39 thf(f46,plain,( 0.13/0.39 spl4_2 <=> ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))), 0.13/0.39 introduced(avatar_definition,[new_symbols(naming,[spl4_2])])). 0.13/0.39 thf(f154,plain,( 0.13/0.39 ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) | (~spl4_1 | spl4_2)), 0.13/0.39 inference(subsumption_resolution,[],[f140,f110])). 0.13/0.39 thf(f110,plain,( 0.13/0.39 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | spl4_2), 0.13/0.39 inference(subsumption_resolution,[],[f96,f47])). 0.13/0.39 thf(f96,plain,( 0.13/0.39 ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) | ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))), 0.13/0.39 inference(equality_proxy_clausification,[],[f95])). 0.13/0.39 thf(f95,plain,( 0.13/0.39 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))))), 0.13/0.39 inference(equality_proxy_clausification,[],[f94])). 0.13/0.39 thf(f94,plain,( 0.13/0.39 ($true = ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))))), 0.13/0.39 inference(trivial_inequality_removal,[],[f93])). 0.13/0.39 thf(f93,plain,( 0.13/0.39 ($true = ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))) | ($true != $true)), 0.13/0.39 inference(boolean_simplification,[],[f92])). 0.13/0.39 thf(f92,plain,( 0.13/0.39 ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))) | ($true != ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true = ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))), 0.13/0.39 inference(beta_eta_normalization,[],[f85])). 0.13/0.39 thf(f85,plain,( 0.13/0.39 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)))) | ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))), 0.13/0.39 inference(primitive_instantiation,[],[f14])). 0.13/0.39 thf(f14,plain,( 0.13/0.39 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (($true = (X0 @ (sK2 @ X0) @ (sK1 @ X0))) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)))) | ($true != (X0 @ (sK0 @ X0) @ (sK0 @ X0)))) )), 0.13/0.39 inference(cnf_transformation,[],[f12])). 0.13/0.39 thf(f12,plain,( 0.13/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (($true != (X0 @ (sK0 @ X0) @ (sK0 @ X0))) | (($true != (X0 @ (sK2 @ X0) @ (sK3 @ X0))) & ($true = (X0 @ (sK2 @ X0) @ (sK1 @ X0))) & ($true = (X0 @ (sK1 @ X0) @ (sK3 @ X0)))) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)))))), 0.13/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f9,f11,f10])). 0.13/0.39 thf(f10,plain,( 0.13/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o] : ((X0 @ X1 @ X1) != $true) => ($true != (X0 @ (sK0 @ X0) @ (sK0 @ X0))))), 0.13/0.39 introduced(choice_axiom,[])). 0.13/0.39 thf(f11,plain,( 0.13/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X2 : $i > $o,X3 : $i > $o,X4 : $i > $o] : (($true != (X0 @ X3 @ X4)) & ($true = (X0 @ X3 @ X2)) & ($true = (X0 @ X2 @ X4))) => (($true != (X0 @ (sK2 @ X0) @ (sK3 @ X0))) & ($true = (X0 @ (sK2 @ X0) @ (sK1 @ X0))) & ($true = (X0 @ (sK1 @ X0) @ (sK3 @ X0)))))), 0.13/0.39 introduced(choice_axiom,[])). 0.13/0.39 thf(f9,plain,( 0.13/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o] : ((X0 @ X1 @ X1) != $true) | ? [X2 : $i > $o,X3 : $i > $o,X4 : $i > $o] : (($true != (X0 @ X3 @ X4)) & ($true = (X0 @ X3 @ X2)) & ($true = (X0 @ X2 @ X4))) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)))))), 0.13/0.39 inference(rectify,[],[f8])). 0.13/0.39 thf(f8,plain,( 0.13/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o] : ((X0 @ X1 @ X1) != $true) | ? [X3 : $i > $o,X4 : $i > $o,X2 : $i > $o] : (($true != (X0 @ X4 @ X2)) & ((X0 @ X4 @ X3) = $true) & ($true = (X0 @ X3 @ X2))) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)))))), 0.13/0.39 inference(flattening,[],[f7])). 0.13/0.39 thf(f7,plain,( 0.13/0.39 ! [X0 : ($i > $o) > ($i > $o) > $o] : (($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)))) | ? [X1 : $i > $o] : ((X0 @ X1 @ X1) != $true) | ? [X4 : $i > $o,X3 : $i > $o,X2 : $i > $o] : (($true != (X0 @ X4 @ X2)) & (((X0 @ X4 @ X3) = $true) & ($true = (X0 @ X3 @ X2)))))), 0.13/0.39 inference(ennf_transformation,[],[f6])). 0.13/0.39 thf(f6,plain,( 0.13/0.39 ~? [X0 : ($i > $o) > ($i > $o) > $o] : (($true != (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)))) & ! [X1 : $i > $o] : ((X0 @ X1 @ X1) = $true) & ! [X4 : $i > $o,X3 : $i > $o,X2 : $i > $o] : ((((X0 @ X4 @ X3) = $true) & ($true = (X0 @ X3 @ X2))) => ($true = (X0 @ X4 @ X2))))), 0.13/0.39 inference(flattening,[],[f5])). 0.13/0.39 thf(f5,plain,( 0.13/0.39 ~? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X1 : $i > $o] : ((X0 @ X1 @ X1) = $true) & ! [X4 : $i > $o,X3 : $i > $o,X2 : $i > $o] : ((((X0 @ X4 @ X3) = $true) & ($true = (X0 @ X3 @ X2))) => ($true = (X0 @ X4 @ X2))) & ~($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)))))), 0.13/0.39 inference(fool_elimination,[],[f4])). 0.13/0.39 thf(f4,plain,( 0.13/0.39 ~? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X1 : $i > $o] : (X0 @ X1 @ X1) & ! [X2 : $i > $o,X3 : $i > $o,X4 : $i > $o] : (((X0 @ X3 @ X2) & (X0 @ X4 @ X3)) => (X0 @ X4 @ X2)) & ~(X0 @ (^[X5 : $i] : ($true)) @ (^[X6 : $i] : ($false))))), 0.13/0.39 inference(rectify,[],[f2])). 0.13/0.39 thf(f2,negated_conjecture,( 0.13/0.39 ~? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X1 : $i > $o] : (X0 @ X1 @ X1) & ! [X3 : $i > $o,X2 : $i > $o,X1 : $i > $o] : (((X0 @ X2 @ X3) & (X0 @ X1 @ X2)) => (X0 @ X1 @ X3)) & ~(X0 @ (^[X1 : $i] : ($true)) @ (^[X1 : $i] : ($false))))), 0.13/0.39 inference(negated_conjecture,[],[f1])). 0.13/0.39 thf(f1,conjecture,( 0.13/0.39 ? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X1 : $i > $o] : (X0 @ X1 @ X1) & ! [X3 : $i > $o,X2 : $i > $o,X1 : $i > $o] : (((X0 @ X2 @ X3) & (X0 @ X1 @ X2)) => (X0 @ X1 @ X3)) & ~(X0 @ (^[X1 : $i] : ($true)) @ (^[X1 : $i] : ($false))))), 0.13/0.39 file('/export/starexec/sandbox/tmp/tmp.ttE4lc4i3R/Vampire---4.8_19201',cTHM120B_pme)). 0.13/0.39 thf(f140,plain,( 0.13/0.39 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) | ~spl4_1), 0.13/0.39 inference(equality_proxy_clausification,[],[f139])). 0.13/0.39 thf(f139,plain,( 0.13/0.39 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))) | ~spl4_1), 0.13/0.39 inference(equality_proxy_clausification,[],[f138])). 0.13/0.39 thf(f138,plain,( 0.13/0.39 ($true != ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))) | ~spl4_1), 0.13/0.39 inference(trivial_inequality_removal,[],[f137])). 0.13/0.39 thf(f137,plain,( 0.13/0.39 ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))) | ($true != $true) | ($true != ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ~spl4_1), 0.13/0.39 inference(boolean_simplification,[],[f136])). 0.13/0.39 thf(f136,plain,( 0.13/0.39 ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))) | ($true != ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true != ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ~spl4_1), 0.13/0.39 inference(beta_eta_normalization,[],[f124])). 0.13/0.39 thf(f124,plain,( 0.13/0.39 ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)))) | ~spl4_1), 0.13/0.39 inference(superposition,[],[f15,f44])). 0.13/0.39 thf(f44,plain,( 0.13/0.39 ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl4_1), 0.13/0.39 inference(avatar_component_clause,[],[f42])). 0.13/0.39 thf(f42,plain,( 0.13/0.39 spl4_1 <=> ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))), 0.13/0.39 introduced(avatar_definition,[new_symbols(naming,[spl4_1])])). 0.13/0.39 thf(f15,plain,( 0.13/0.39 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (($true != (X0 @ (sK2 @ X0) @ (sK3 @ X0))) | ($true != (X0 @ (sK0 @ X0) @ (sK0 @ X0))) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false))))) )), 0.13/0.39 inference(cnf_transformation,[],[f12])). 0.13/0.39 thf(f57,plain,( 0.13/0.39 ~spl4_2), 0.13/0.39 inference(avatar_contradiction_clause,[],[f56])). 0.13/0.39 thf(f56,plain,( 0.13/0.39 $false | ~spl4_2), 0.13/0.39 inference(trivial_inequality_removal,[],[f55])). 0.13/0.39 thf(f55,plain,( 0.13/0.39 ($true = $false) | ~spl4_2), 0.13/0.39 inference(beta_eta_normalization,[],[f54])). 0.13/0.39 thf(f54,plain,( 0.13/0.39 ( ! [X1 : $i] : ((((^[Y0 : $i]: ($false)) @ X1) = ((^[Y0 : $i]: ($true)) @ X1))) ) | ~spl4_2), 0.13/0.39 inference(argument_congruence,[],[f48])). 0.13/0.39 thf(f48,plain,( 0.13/0.39 ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) | ~spl4_2), 0.13/0.39 inference(avatar_component_clause,[],[f46])). 0.13/0.39 thf(f49,plain,( 0.13/0.39 spl4_1 | spl4_2), 0.13/0.39 inference(avatar_split_clause,[],[f27,f46,f42])). 0.13/0.39 thf(f27,plain,( 0.13/0.39 ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))), 0.13/0.39 inference(equality_proxy_clausification,[],[f26])). 0.13/0.39 thf(f26,plain,( 0.13/0.39 ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))))), 0.13/0.39 inference(equality_proxy_clausification,[],[f25])). 0.13/0.39 thf(f25,plain,( 0.13/0.39 ($true = ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))))), 0.13/0.39 inference(trivial_inequality_removal,[],[f24])). 0.13/0.39 thf(f24,plain,( 0.13/0.39 ($true != $true) | ($true = ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))))), 0.13/0.39 inference(boolean_simplification,[],[f23])). 0.13/0.39 thf(f23,plain,( 0.13/0.39 ($true != ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))) | ($true = ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))), 0.13/0.39 inference(beta_eta_normalization,[],[f16])). 0.13/0.39 thf(f16,plain,( 0.13/0.39 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false))))), 0.13/0.39 inference(primitive_instantiation,[],[f13])). 0.13/0.39 thf(f13,plain,( 0.13/0.39 ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (($true = (X0 @ (sK1 @ X0) @ (sK3 @ X0))) | ($true != (X0 @ (sK0 @ X0) @ (sK0 @ X0))) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false))))) )), 0.13/0.39 inference(cnf_transformation,[],[f12])). 0.13/0.39 % SZS output end Proof for Vampire---4 0.13/0.39 % (19312)------------------------------ 0.13/0.39 % (19312)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.13/0.39 % (19312)Termination reason: Refutation 0.13/0.39 0.13/0.39 % (19312)Memory used [KB]: 5628 0.13/0.39 % (19312)Time elapsed: 0.014 s 0.13/0.39 % (19312)Instructions burned: 16 (million) 0.13/0.39 % (19312)------------------------------ 0.13/0.39 % (19312)------------------------------ 0.13/0.39 % (19308)Success in time 0.026 s 0.13/0.39 % Vampire---4.8 exiting 0.13/0.39 EOF