0.07/0.13 % Problem : Vampire---4.8_21995 : TPTP v0.0.0. Released v0.0.0. 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.36 % Computer : n013.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1440 0.14/0.36 % WCLimit : 180 0.14/0.36 % DateTime : Mon Jul 3 12:47:17 EDT 2023 0.14/0.36 % CPUTime : 0.14/0.36 This is a THF_ problem 0.14/0.36 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/sandbox2/tmp/tmp.aESV1EBtD9/Vampire---4.8_21995 -m 12000 -t 180 0.14/0.38 % (22104)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.14/0.38 % (22105)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.14/0.38 % (22108)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.14/0.38 % (22109)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 (1799ds/74Mi) 0.14/0.38 % (22106)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi) 0.14/0.38 % (22110)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.14/0.38 % (22107)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 (1799ds/385Mi) 0.14/0.38 % (22111)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 (1799ds/915Mi) 0.14/0.39 % (22110)Instruction limit reached! 0.14/0.39 % (22110)------------------------------ 0.14/0.39 % (22110)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (22110)Termination reason: Unknown 0.14/0.39 % (22110)Termination phase: Property scanning 0.14/0.39 0.14/0.39 % (22110)Memory used [KB]: 1023 0.14/0.39 % (22110)Time elapsed: 0.005 s 0.14/0.39 % (22110)Instructions burned: 6 (million) 0.14/0.39 % (22110)------------------------------ 0.14/0.39 % (22110)------------------------------ 0.14/0.39 % (22111)Refutation not found, incomplete strategy 0.14/0.39 % (22111)------------------------------ 0.14/0.39 % (22111)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (22105)Refutation not found, incomplete strategy 0.14/0.39 % (22105)------------------------------ 0.14/0.39 % (22105)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (22105)Termination reason: Refutation not found, incomplete strategy 0.14/0.39 0.14/0.39 0.14/0.39 % (22105)Memory used [KB]: 5628 0.14/0.39 % (22105)Time elapsed: 0.008 s 0.14/0.39 % (22105)Instructions burned: 11 (million) 0.14/0.39 % (22105)------------------------------ 0.14/0.39 % (22105)------------------------------ 0.14/0.39 % (22111)Termination reason: Refutation not found, incomplete strategy 0.14/0.39 0.14/0.39 0.14/0.39 % (22111)Memory used [KB]: 5628 0.14/0.39 % (22111)Time elapsed: 0.006 s 0.14/0.39 % (22111)Instructions burned: 9 (million) 0.14/0.39 % (22111)------------------------------ 0.14/0.39 % (22111)------------------------------ 0.14/0.39 % (22104)First to succeed. 0.14/0.39 % (22106)Also succeeded, but the first one will report. 0.14/0.39 % (22104)Refutation found. Thanks to Tanya! 0.14/0.39 % SZS status Theorem for Vampire---4 0.14/0.39 % SZS output start Proof for Vampire---4 0.14/0.39 thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o). 0.14/0.39 thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o). 0.14/0.39 thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o). 0.14/0.39 thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o). 0.14/0.39 thf(func_def_6, type, refl: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_7, type, irrefl: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o). 0.14/0.39 thf(func_def_9, type, symm: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_10, type, antisymm: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_11, type, asymm: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o). 0.14/0.39 thf(func_def_13, type, trans: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o). 0.14/0.39 thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o). 0.14/0.39 thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o). 0.14/0.39 thf(func_def_17, type, po: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_18, type, so: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_19, type, total: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_20, type, term: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_21, type, ind: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o). 0.14/0.39 thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o). 0.14/0.39 thf(func_def_24, type, norm: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o). 0.14/0.39 thf(func_def_26, type, lconfl: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_27, type, sconfl: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_28, type, confl: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_29, type, cr: ($i > $i > $o) > $o). 0.14/0.39 thf(func_def_48, type, sK1: $i > $i > $o). 0.14/0.39 thf(func_def_51, type, sK4: $i > $i > $o). 0.14/0.39 thf(f171,plain,( 0.14/0.39 $false), 0.14/0.39 inference(trivial_inequality_removal,[],[f170])). 0.14/0.39 thf(f170,plain,( 0.14/0.39 ($true = $false)), 0.14/0.39 inference(backward_demodulation,[],[f146,f168])). 0.14/0.39 thf(f168,plain,( 0.14/0.39 ((sK1 @ sK2 @ sK3) = $false)), 0.14/0.39 inference(trivial_inequality_removal,[],[f166])). 0.14/0.39 thf(f166,plain,( 0.14/0.39 ($true = $false) | ((sK1 @ sK2 @ sK3) = $false)), 0.14/0.39 inference(superposition,[],[f157,f149])). 0.14/0.39 thf(f149,plain,( 0.14/0.39 ($false = (sK4 @ sK2 @ sK3))), 0.14/0.39 inference(binary_proxy_clausification,[],[f148])). 0.14/0.39 thf(f148,plain,( 0.14/0.39 ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK4 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK4 @ Y0 @ Y2) & (sK4 @ Y1 @ Y0)) => (sK4 @ Y1 @ Y2))))))))) => (sK4 @ sK2 @ sK3)) = $false)), 0.14/0.39 inference(beta_eta_normalization,[],[f147])). 0.14/0.39 thf(f147,plain,( 0.14/0.39 (((^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK2 @ sK3))) @ sK4) = $false)), 0.14/0.39 inference(sigma_clausification,[],[f145])). 0.14/0.39 thf(f145,plain,( 0.14/0.39 ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK2 @ sK3)))) = $false)), 0.14/0.39 inference(binary_proxy_clausification,[],[f144])). 0.14/0.39 thf(f144,plain,( 0.14/0.39 (((sK1 @ sK2 @ sK3) => (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK2 @ sK3))))) = $false)), 0.14/0.39 inference(beta_eta_normalization,[],[f143])). 0.14/0.39 thf(f143,plain,( 0.14/0.39 (((^[Y0 : $i]: ((sK1 @ sK2 @ Y0) => (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK1 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y4))))))))) => (Y1 @ sK2 @ Y0)))))) @ sK3) = $false)), 0.14/0.39 inference(sigma_clausification,[],[f142])). 0.14/0.39 thf(f142,plain,( 0.14/0.39 ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ sK2 @ Y0) => (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK1 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y4))))))))) => (Y1 @ sK2 @ Y0))))))) = $false)), 0.14/0.39 inference(beta_eta_normalization,[],[f141])). 0.14/0.39 thf(f141,plain,( 0.14/0.39 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK1 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y0 @ Y1)))))))) @ sK2) = $false)), 0.14/0.39 inference(sigma_clausification,[],[f140])). 0.14/0.39 thf(f140,plain,( 0.14/0.39 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK1 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y3 @ Y5) & (Y2 @ Y4 @ Y3)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))))) = $false)), 0.14/0.39 inference(beta_eta_normalization,[],[f139])). 0.14/0.39 thf(f139,plain,( 0.14/0.39 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y6) & (Y3 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y6))))))))) => (Y3 @ Y1 @ Y2)))))))))) @ sK1) = $false)), 0.14/0.39 inference(sigma_clausification,[],[f138])). 0.14/0.39 thf(f138,plain,( 0.14/0.39 ($true != (!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y4 @ Y6) & (Y3 @ Y5 @ Y4)) => (Y3 @ Y5 @ Y6))))))))) => (Y3 @ Y1 @ Y2))))))))))))), 0.14/0.39 inference(beta_eta_normalization,[],[f137])). 0.14/0.39 thf(f137,plain,( 0.14/0.39 ($true != ((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5))))))))) @ Y1 @ (Y0 @ Y1))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: ((((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y6 @ Y7))))))))) @ Y0 @ Y3) & ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y6 @ Y5)) => (Y4 @ Y6 @ Y7))))))))) @ Y3)) => (Y3 @ Y1 @ Y2)))))))))))), 0.14/0.39 inference(definition_unfolding,[],[f109,f122,f124])). 0.14/0.39 thf(f124,plain,( 0.14/0.39 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: ((((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y6 @ Y7))))))))) @ Y0 @ Y3) & ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y5 @ Y7) & (Y4 @ Y6 @ Y5)) => (Y4 @ Y6 @ Y7))))))))) @ Y3)) => (Y3 @ Y1 @ Y2))))))))))), 0.14/0.39 inference(definition_unfolding,[],[f101,f102,f118])). 0.14/0.39 thf(f118,plain,( 0.14/0.39 (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))))), 0.14/0.39 inference(cnf_transformation,[],[f82])). 0.14/0.39 thf(f82,plain,( 0.14/0.39 (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))))), 0.14/0.39 inference(fool_elimination,[],[f81])). 0.14/0.39 thf(f81,plain,( 0.14/0.39 ((^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X1)) => (X0 @ X2 @ X1)))) = trans)), 0.14/0.39 inference(rectify,[],[f13])). 0.14/0.39 thf(f13,axiom,( 0.14/0.39 ((^[X0 : $i > $i > $o] : (! [X5,X2,X3] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X5)) => (X0 @ X2 @ X5)))) = trans)), 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.aESV1EBtD9/Vampire---4.8_21995',transitive)). 0.14/0.39 thf(f102,plain,( 0.14/0.39 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))))), 0.14/0.39 inference(cnf_transformation,[],[f56])). 0.14/0.39 thf(f56,plain,( 0.14/0.39 (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))))), 0.14/0.39 inference(fool_elimination,[],[f55])). 0.14/0.39 thf(f55,plain,( 0.14/0.39 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X3 @ X2) => (X1 @ X3 @ X2)))))), 0.14/0.39 inference(rectify,[],[f1])). 0.14/0.39 thf(f1,axiom,( 0.14/0.39 (subrel = (^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X3,X2] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))))), 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.aESV1EBtD9/Vampire---4.8_21995',subrel)). 0.14/0.39 thf(f101,plain,( 0.14/0.39 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((subrel @ Y0 @ Y3) & (trans @ Y3)) => (Y3 @ Y1 @ Y2))))))))))), 0.14/0.39 inference(cnf_transformation,[],[f72])). 0.14/0.39 thf(f72,plain,( 0.14/0.39 (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((subrel @ Y0 @ Y3) & (trans @ Y3)) => (Y3 @ Y1 @ Y2))))))))))), 0.14/0.39 inference(fool_elimination,[],[f71])). 0.14/0.39 thf(f71,plain,( 0.14/0.39 (tc = (^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : (! [X3 : $i > $i > $o] : (((trans @ X3) & (subrel @ X0 @ X3)) => (X3 @ X1 @ X2)))))), 0.14/0.39 inference(rectify,[],[f14])). 0.14/0.39 thf(f14,axiom,( 0.14/0.39 (tc = (^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : (! [X1 : $i > $i > $o] : (((trans @ X1) & (subrel @ X0 @ X1)) => (X1 @ X2 @ X3)))))), 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.aESV1EBtD9/Vampire---4.8_21995',transitive_closure)). 0.14/0.39 thf(f122,plain,( 0.14/0.39 (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5))))))))) @ Y1 @ (Y0 @ Y1))))))), 0.14/0.39 inference(definition_unfolding,[],[f116,f102])). 0.14/0.39 thf(f116,plain,( 0.14/0.39 (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (subrel @ Y1 @ (Y0 @ Y1))))))), 0.14/0.39 inference(cnf_transformation,[],[f46])). 0.14/0.39 thf(f46,plain,( 0.14/0.39 (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (subrel @ Y1 @ (Y0 @ Y1))))))), 0.14/0.39 inference(fool_elimination,[],[f45])). 0.14/0.39 thf(f45,plain,( 0.14/0.39 (infl = (^[X0 : ($i > $i > $o) > $i > $i > $o] : (! [X1 : $i > $i > $o] : (subrel @ X1 @ (X0 @ X1)))))), 0.14/0.39 inference(rectify,[],[f4])). 0.14/0.39 thf(f4,axiom,( 0.14/0.39 (infl = (^[X4 : ($i > $i > $o) > $i > $i > $o] : (! [X0 : $i > $i > $o] : (subrel @ X0 @ (X4 @ X0)))))), 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.aESV1EBtD9/Vampire---4.8_21995',inflationary)). 0.14/0.39 thf(f109,plain,( 0.14/0.39 ((infl @ tc) != $true)), 0.14/0.39 inference(cnf_transformation,[],[f91])). 0.14/0.39 thf(f91,plain,( 0.14/0.39 ((infl @ tc) != $true)), 0.14/0.39 inference(flattening,[],[f86])). 0.14/0.39 thf(f86,plain,( 0.14/0.39 ~((infl @ tc) = $true)), 0.14/0.39 inference(fool_elimination,[],[f85])). 0.14/0.39 thf(f85,plain,( 0.14/0.39 ~(infl @ tc)), 0.14/0.39 inference(rectify,[],[f31])). 0.14/0.39 thf(f31,negated_conjecture,( 0.14/0.39 ~(infl @ tc)), 0.14/0.39 inference(negated_conjecture,[],[f30])). 0.14/0.39 thf(f30,conjecture,( 0.14/0.39 (infl @ tc)), 0.14/0.39 file('/export/starexec/sandbox2/tmp/tmp.aESV1EBtD9/Vampire---4.8_21995',transitive_closure_op_is_inflationary)). 0.14/0.39 thf(f157,plain,( 0.14/0.39 ( ! [X2 : $i,X1 : $i] : (($true = (sK4 @ X1 @ X2)) | ((sK1 @ X1 @ X2) = $false)) )), 0.14/0.39 inference(binary_proxy_clausification,[],[f156])). 0.14/0.39 thf(f156,plain,( 0.14/0.39 ( ! [X2 : $i,X1 : $i] : (($true = ((sK1 @ X1 @ X2) => (sK4 @ X1 @ X2)))) )), 0.14/0.39 inference(beta_eta_normalization,[],[f155])). 0.14/0.39 thf(f155,plain,( 0.14/0.39 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK4 @ X1 @ Y0))) @ X2))) )), 0.14/0.39 inference(pi_clausification,[],[f154])). 0.14/0.39 thf(f154,plain,( 0.14/0.39 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK4 @ X1 @ Y0)))))) )), 0.14/0.39 inference(beta_eta_normalization,[],[f153])). 0.14/0.39 thf(f153,plain,( 0.14/0.39 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK4 @ Y0 @ Y1))))) @ X1))) )), 0.14/0.39 inference(pi_clausification,[],[f152])). 0.14/0.39 thf(f152,plain,( 0.14/0.39 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK4 @ Y0 @ Y1)))))))), 0.14/0.39 inference(binary_proxy_clausification,[],[f150])). 0.14/0.39 thf(f150,plain,( 0.14/0.39 ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK4 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK4 @ Y0 @ Y2) & (sK4 @ Y1 @ Y0)) => (sK4 @ Y1 @ Y2))))))))))), 0.14/0.39 inference(binary_proxy_clausification,[],[f148])). 0.14/0.39 thf(f146,plain,( 0.14/0.39 ($true = (sK1 @ sK2 @ sK3))), 0.14/0.39 inference(binary_proxy_clausification,[],[f144])). 0.14/0.39 % SZS output end Proof for Vampire---4 0.14/0.39 % (22104)------------------------------ 0.14/0.39 % (22104)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.14/0.39 % (22104)Termination reason: Refutation 0.14/0.39 0.14/0.39 % (22104)Memory used [KB]: 5628 0.14/0.39 % (22104)Time elapsed: 0.012 s 0.14/0.39 % (22104)Instructions burned: 13 (million) 0.14/0.39 % (22104)------------------------------ 0.14/0.39 % (22104)------------------------------ 0.14/0.39 % (22103)Success in time 0.026 s 0.14/0.39 % Vampire---4.8 exiting 0.14/0.40 EOF