0.11/0.13 % Problem : Vampire---4.8_26667 : TPTP v0.0.0. Released v0.0.0. 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.35 % Computer : n012.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1440 0.14/0.35 % WCLimit : 180 0.14/0.35 % DateTime : Mon Jul 3 13:06:07 EDT 2023 0.14/0.35 % CPUTime : 0.14/0.35 This is a THF_ problem 0.14/0.35 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/sandbox2/tmp/tmp.xPkMkteb6O/Vampire---4.8_26667 -m 12000 -t 180 0.14/0.37 % (26888)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) 0.14/0.37 % (26882)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1800ds/36Mi) 0.14/0.37 % (26884)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) 0.14/0.37 % (26885)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1800ds/17Mi) 0.14/0.37 % (26883)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) 0.14/0.37 % (26881)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1800ds/96Mi) 0.14/0.37 % (26888)Instruction limit reached! 0.14/0.37 % (26888)------------------------------ 0.14/0.37 % (26888)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.37 % (26888)Termination reason: Unknown 0.14/0.37 % (26888)Termination phase: Saturation 0.14/0.37 0.14/0.37 % (26888)Memory used [KB]: 5500 0.14/0.37 % (26888)Time elapsed: 0.004 s 0.14/0.37 % (26888)Instructions burned: 4 (million) 0.14/0.37 % (26888)------------------------------ 0.14/0.37 % (26888)------------------------------ 0.14/0.37 % (26887)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) 0.14/0.37 % (26882)Refutation not found, incomplete strategy 0.14/0.37 % (26882)------------------------------ 0.14/0.37 % (26882)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.37 % (26882)Termination reason: Refutation not found, incomplete strategy 0.14/0.37 0.14/0.37 0.14/0.37 % (26882)Memory used [KB]: 5500 0.14/0.37 % (26882)Time elapsed: 0.004 s 0.14/0.37 % (26882)Instructions burned: 2 (million) 0.14/0.37 % (26882)------------------------------ 0.14/0.37 % (26882)------------------------------ 0.14/0.38 % (26889)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) 0.14/0.38 % (26889)Refutation not found, incomplete strategy 0.14/0.38 % (26889)------------------------------ 0.14/0.38 % (26889)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.38 % (26889)Termination reason: Refutation not found, incomplete strategy 0.14/0.38 0.14/0.38 0.14/0.38 % (26889)Memory used [KB]: 5500 0.14/0.38 % (26889)Time elapsed: 0.004 s 0.14/0.38 % (26889)Instructions burned: 1 (million) 0.14/0.38 % (26889)------------------------------ 0.14/0.38 % (26889)------------------------------ 0.14/0.38 % (26884)First to succeed. 0.14/0.38 % (26883)Also succeeded, but the first one will report. 0.14/0.38 % (26884)Refutation found. Thanks to Tanya! 0.14/0.38 % SZS status Theorem for Vampire---4 0.14/0.38 % SZS output start Proof for Vampire---4 0.14/0.38 thf(func_def_1, type, cS: $i > $i). 0.14/0.38 thf(func_def_14, type, sK2: ($i > $o) > $i). 0.14/0.38 thf(func_def_16, type, ph3: !>[X0: $tType]:(X0)). 0.14/0.38 thf(f149,plain,( 0.14/0.38 $false), 0.14/0.38 inference(trivial_inequality_removal,[],[f138])). 0.14/0.38 thf(f138,plain,( 0.14/0.38 (sK0 != sK0) | (c0 != c0)), 0.14/0.38 inference(superposition,[],[f14,f131])). 0.14/0.38 thf(f131,plain,( 0.14/0.38 ( ! [X0 : $i] : ((c0 = X0) | (sK0 != X0)) )), 0.14/0.38 inference(superposition,[],[f13,f89])). 0.14/0.38 thf(f89,plain,( 0.14/0.38 ( ! [X0 : $i] : (((cS @ (sK2 @ (^[Y0 : $i]: (~ (X0 = Y0))))) = X0) | (c0 = X0)) )), 0.14/0.38 inference(equality_proxy_clausification,[],[f88])). 0.14/0.38 thf(f88,plain,( 0.14/0.38 ( ! [X0 : $i] : (($true = (X0 = c0)) | ((cS @ (sK2 @ (^[Y0 : $i]: (~ (X0 = Y0))))) = X0)) )), 0.14/0.38 inference(not_proxy_clausification,[],[f87])). 0.14/0.38 thf(f87,plain,( 0.14/0.38 ( ! [X0 : $i] : (((cS @ (sK2 @ (^[Y0 : $i]: (~ (X0 = Y0))))) = X0) | ($false = (~ (X0 = c0)))) )), 0.14/0.38 inference(beta_eta_normalization,[],[f77])). 0.14/0.38 thf(f77,plain,( 0.14/0.38 ( ! [X0 : $i] : (((cS @ (sK2 @ (^[Y0 : $i]: (~ (X0 = Y0))))) = X0) | ($false = ((^[Y0 : $i]: (~ (X0 = Y0))) @ c0))) )), 0.14/0.38 inference(leibniz_equality_elimination,[],[f25])). 0.14/0.38 thf(f25,plain,( 0.14/0.38 ( ! [X2 : $i,X1 : $i > $o] : (((X1 @ (cS @ (sK2 @ X1))) = $false) | ($false = (X1 @ c0)) | ($true = (X1 @ X2))) )), 0.14/0.38 inference(binary_proxy_clausification,[],[f24])). 0.14/0.38 thf(f24,plain,( 0.14/0.38 ( ! [X2 : $i,X1 : $i > $o] : ((((X1 @ (sK2 @ X1)) => (X1 @ (cS @ (sK2 @ X1)))) = $false) | ($true = (X1 @ X2)) | ($false = (X1 @ c0))) )), 0.14/0.38 inference(beta_eta_normalization,[],[f23])). 0.14/0.38 thf(f23,plain,( 0.14/0.38 ( ! [X2 : $i,X1 : $i > $o] : (($false = (X1 @ c0)) | ($true = (X1 @ X2)) | (((^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ Y0)))) @ (sK2 @ X1)) = $false)) )), 0.14/0.38 inference(sigma_clausification,[],[f22])). 0.14/0.38 thf(f22,plain,( 0.14/0.38 ( ! [X2 : $i,X1 : $i > $o] : (($false = (X1 @ c0)) | ($true = (X1 @ X2)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ Y0))))))) )), 0.14/0.38 inference(pi_clausification,[],[f21])). 0.14/0.38 thf(f21,plain,( 0.14/0.38 ( ! [X1 : $i > $o] : (((!! @ $i @ X1) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ Y0)))))) | ($false = (X1 @ c0))) )), 0.14/0.38 inference(binary_proxy_clausification,[],[f20])). 0.14/0.38 thf(f20,plain,( 0.14/0.38 ( ! [X1 : $i > $o] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ Y0))))) & (X1 @ c0))) | ((!! @ $i @ X1) = $true)) )), 0.14/0.38 inference(binary_proxy_clausification,[],[f19])). 0.14/0.38 thf(f19,plain,( 0.14/0.38 ( ! [X1 : $i > $o] : (((((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ Y0))))) & (X1 @ c0)) => (!! @ $i @ X1)) = $true)) )), 0.14/0.38 inference(beta_eta_normalization,[],[f18])). 0.14/0.38 thf(f18,plain,( 0.14/0.38 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1))))) & (Y0 @ c0)) => (!! @ $i @ Y0))) @ X1))) )), 0.14/0.38 inference(pi_clausification,[],[f17])). 0.14/0.38 thf(f17,plain,( 0.14/0.38 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1))))) & (Y0 @ c0)) => (!! @ $i @ Y0)))) = $true)), 0.14/0.38 inference(beta_eta_normalization,[],[f16])). 0.14/0.38 thf(f16,plain,( 0.14/0.38 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1))))) & (Y0 @ c0)) => (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))))), 0.14/0.38 inference(definition_unfolding,[],[f15,f12])). 0.14/0.38 thf(f12,plain,( 0.14/0.38 (cIND = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1))))) & (Y0 @ c0)) => (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))))), 0.14/0.38 inference(cnf_transformation,[],[f8])). 0.14/0.38 thf(f8,plain,( 0.14/0.38 (cIND = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ Y1))))) & (Y0 @ c0)) => (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))))), 0.14/0.38 inference(fool_elimination,[],[f7])). 0.14/0.38 thf(f7,plain,( 0.14/0.38 (! [X0 : $i > $o] : (((X0 @ c0) & ! [X1] : ((X0 @ X1) => (X0 @ (cS @ X1)))) => ! [X2] : (X0 @ X2)) = cIND)), 0.14/0.38 inference(rectify,[],[f1])). 0.14/0.38 thf(f1,axiom,( 0.14/0.38 (! [X0 : $i > $o] : (((X0 @ c0) & ! [X1] : ((X0 @ X1) => (X0 @ (cS @ X1)))) => ! [X1] : (X0 @ X1)) = cIND)), 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.xPkMkteb6O/Vampire---4.8_26667',cIND_def)). 0.14/0.38 thf(f15,plain,( 0.14/0.38 (cIND = $true)), 0.14/0.38 inference(cnf_transformation,[],[f11])). 0.14/0.38 thf(f11,plain,( 0.14/0.38 (cIND = $true) & ((c0 != sK0) & ! [X1] : ((cS @ X1) != sK0))), 0.14/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10])). 0.14/0.38 thf(f10,plain,( 0.14/0.38 ? [X0] : ((c0 != X0) & ! [X1] : ((cS @ X1) != X0)) => ((c0 != sK0) & ! [X1] : ((cS @ X1) != sK0))), 0.14/0.38 introduced(choice_axiom,[])). 0.14/0.38 thf(f9,plain,( 0.14/0.38 (cIND = $true) & ? [X0] : ((c0 != X0) & ! [X1] : ((cS @ X1) != X0))), 0.14/0.38 inference(ennf_transformation,[],[f6])). 0.14/0.38 thf(f6,plain,( 0.14/0.38 ~((cIND = $true) => ! [X0] : (? [X1] : ((cS @ X1) = X0) | (c0 = X0)))), 0.14/0.38 inference(fool_elimination,[],[f5])). 0.14/0.38 thf(f5,plain,( 0.14/0.38 ~(cIND => ! [X0] : ((c0 = X0) | ? [X1] : ((cS @ X1) = X0)))), 0.14/0.38 inference(rectify,[],[f3])). 0.14/0.38 thf(f3,negated_conjecture,( 0.14/0.38 ~(cIND => ! [X2] : ((c0 = X2) | ? [X3] : ((cS @ X3) = X2)))), 0.14/0.38 inference(negated_conjecture,[],[f2])). 0.14/0.38 thf(f2,conjecture,( 0.14/0.38 cIND => ! [X2] : ((c0 = X2) | ? [X3] : ((cS @ X3) = X2))), 0.14/0.38 file('/export/starexec/sandbox2/tmp/tmp.xPkMkteb6O/Vampire---4.8_26667',cTHM578)). 0.14/0.38 thf(f13,plain,( 0.14/0.38 ( ! [X1 : $i] : (((cS @ X1) != sK0)) )), 0.14/0.38 inference(cnf_transformation,[],[f11])). 0.14/0.38 thf(f14,plain,( 0.14/0.38 (c0 != sK0)), 0.14/0.38 inference(cnf_transformation,[],[f11])). 0.14/0.38 % SZS output end Proof for Vampire---4 0.14/0.38 % (26884)------------------------------ 0.14/0.38 % (26884)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.38 % (26884)Termination reason: Refutation 0.14/0.38 0.14/0.38 % (26884)Memory used [KB]: 5628 0.14/0.38 % (26884)Time elapsed: 0.010 s 0.14/0.38 % (26884)Instructions burned: 8 (million) 0.14/0.38 % (26884)------------------------------ 0.14/0.38 % (26884)------------------------------ 0.14/0.38 % (26878)Success in time 0.022 s 0.14/0.38 % Vampire---4.8 exiting 0.14/0.39 EOF