0.03/0.13 % Problem : Vampire---4.8_7414 : TPTP v0.0.0. Released v0.0.0. 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.15/0.36 % Computer : n013.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 1440 0.15/0.36 % WCLimit : 180 0.15/0.36 % DateTime : Mon Jul 3 12:56:32 EDT 2023 0.15/0.36 % CPUTime : 0.21/0.36 This is a THF_ problem 0.21/0.36 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.yUk6EzQjUe/Vampire---4.8_7414 -m 12000 -t 180 0.21/0.38 % (7585)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.21/0.38 % (7582)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.21/0.38 % (7588)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) 0.21/0.38 % (7584)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) 0.21/0.38 % (7587)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) 0.21/0.38 % (7586)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) 0.21/0.39 % (7587)Instruction limit reached! 0.21/0.39 % (7587)------------------------------ 0.21/0.39 % (7587)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.39 % (7587)Termination reason: Unknown 0.21/0.39 % (7587)Termination phase: Saturation 0.21/0.39 0.21/0.39 % (7587)Memory used [KB]: 5500 0.21/0.39 % (7587)Time elapsed: 0.004 s 0.21/0.39 % (7587)Instructions burned: 4 (million) 0.21/0.39 % (7587)------------------------------ 0.21/0.39 % (7587)------------------------------ 0.21/0.39 % (7581)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.21/0.40 % (7583)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) 0.21/0.40 % (7585)Instruction limit reached! 0.21/0.40 % (7585)------------------------------ 0.21/0.40 % (7585)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.40 % (7585)Termination reason: Unknown 0.21/0.40 % (7585)Termination phase: Saturation 0.21/0.40 0.21/0.40 % (7585)Memory used [KB]: 5628 0.21/0.40 % (7585)Time elapsed: 0.017 s 0.21/0.40 % (7585)Instructions burned: 18 (million) 0.21/0.40 % (7585)------------------------------ 0.21/0.40 % (7585)------------------------------ 0.21/0.41 % (7589)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi) 0.21/0.41 % (7582)Instruction limit reached! 0.21/0.41 % (7582)------------------------------ 0.21/0.41 % (7582)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.41 % (7582)Termination reason: Unknown 0.21/0.41 % (7582)Termination phase: Saturation 0.21/0.41 0.21/0.41 % (7582)Memory used [KB]: 5756 0.21/0.41 % (7582)Time elapsed: 0.033 s 0.21/0.41 % (7582)Instructions burned: 37 (million) 0.21/0.41 % (7582)------------------------------ 0.21/0.41 % (7582)------------------------------ 0.21/0.42 % (7598)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.21/0.43 % (7598)Instruction limit reached! 0.21/0.43 % (7598)------------------------------ 0.21/0.43 % (7598)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.43 % (7598)Termination reason: Unknown 0.21/0.43 % (7598)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (7598)Memory used [KB]: 5500 0.21/0.43 % (7598)Time elapsed: 0.009 s 0.21/0.43 % (7598)Instructions burned: 7 (million) 0.21/0.43 % (7598)------------------------------ 0.21/0.43 % (7598)------------------------------ 0.21/0.43 % (7589)Instruction limit reached! 0.21/0.43 % (7589)------------------------------ 0.21/0.43 % (7589)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.43 % (7589)Termination reason: Unknown 0.21/0.43 % (7589)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (7589)Memory used [KB]: 5756 0.21/0.43 % (7589)Time elapsed: 0.025 s 0.21/0.43 % (7589)Instructions burned: 21 (million) 0.21/0.43 % (7589)------------------------------ 0.21/0.43 % (7589)------------------------------ 0.21/0.44 % (7599)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi) 0.21/0.44 % (7583)Instruction limit reached! 0.21/0.44 % (7583)------------------------------ 0.21/0.44 % (7583)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.44 % (7583)Termination reason: Unknown 0.21/0.44 % (7583)Termination phase: Saturation 0.21/0.44 0.21/0.44 % (7583)Memory used [KB]: 5628 0.21/0.44 % (7583)Time elapsed: 0.053 s 0.21/0.44 % (7583)Instructions burned: 35 (million) 0.21/0.44 % (7583)------------------------------ 0.21/0.44 % (7583)------------------------------ 0.21/0.46 % (7602)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.21/0.46 % (7603)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.21/0.46 % (7588)First to succeed. 0.21/0.47 % (7603)Instruction limit reached! 0.21/0.47 % (7603)------------------------------ 0.21/0.47 % (7603)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.47 % (7603)Termination reason: Unknown 0.21/0.47 % (7603)Termination phase: Saturation 0.21/0.47 0.21/0.47 % (7603)Memory used [KB]: 5500 0.21/0.47 % (7603)Time elapsed: 0.011 s 0.21/0.47 % (7603)Instructions burned: 9 (million) 0.21/0.47 % (7603)------------------------------ 0.21/0.47 % (7603)------------------------------ 0.21/0.47 % (7588)Refutation found. Thanks to Tanya! 0.21/0.47 % SZS status Theorem for Vampire---4 0.21/0.47 % SZS output start Proof for Vampire---4 0.21/0.47 thf(type_def_5, type, a: $tType). 0.21/0.47 thf(func_def_0, type, a: $tType). 0.21/0.47 thf(func_def_12, type, sP0: ((a > a > $o) > $o) > (a > a > $o) > $o). 0.21/0.47 thf(func_def_13, type, sK1: ((a > a > $o) > $o) > (a > a > $o) > a). 0.21/0.47 thf(func_def_14, type, sK2: ((a > a > $o) > $o) > (a > a > $o) > a). 0.21/0.47 thf(func_def_15, type, sK3: ((a > a > $o) > $o) > (a > a > $o) > a > a > $o). 0.21/0.47 thf(func_def_16, type, sK4: a). 0.21/0.47 thf(func_def_17, type, sK5: (a > a > $o) > $o). 0.21/0.47 thf(func_def_18, type, sK6: a). 0.21/0.47 thf(func_def_19, type, sK7: a > a > $o). 0.21/0.47 thf(func_def_20, type, sK8: (a > a > $o) > a). 0.21/0.47 thf(func_def_21, type, sK9: (a > a > $o) > a). 0.21/0.47 thf(func_def_22, type, sK10: (a > a > $o) > a). 0.21/0.47 thf(func_def_24, type, ph12: !>[X0: $tType]:(X0)). 0.21/0.47 thf(func_def_25, type, sK13: (a > a > $o) > a > a > a > a > $o). 0.21/0.47 thf(f463,plain,( 0.21/0.47 $false), 0.21/0.47 inference(avatar_sat_refutation,[],[f139,f427,f462])). 0.21/0.47 thf(f462,plain,( 0.21/0.47 ~spl11_1 | spl11_2), 0.21/0.47 inference(avatar_contradiction_clause,[],[f461])). 0.21/0.47 thf(f461,plain,( 0.21/0.47 $false | (~spl11_1 | spl11_2)), 0.21/0.47 inference(subsumption_resolution,[],[f460,f137])). 0.21/0.47 thf(f137,plain,( 0.21/0.47 ((sP0 @ sK5 @ sK7) != $true) | spl11_2), 0.21/0.47 inference(avatar_component_clause,[],[f136])). 0.21/0.47 thf(f136,plain,( 0.21/0.47 spl11_2 <=> ((sP0 @ sK5 @ sK7) = $true)), 0.21/0.47 introduced(avatar_definition,[new_symbols(naming,[spl11_2])])). 0.21/0.47 thf(f460,plain,( 0.21/0.47 ((sP0 @ sK5 @ sK7) = $true) | (~spl11_1 | spl11_2)), 0.21/0.47 inference(subsumption_resolution,[],[f455,f29])). 0.21/0.47 thf(f29,plain,( 0.21/0.47 ((sK7 @ sK6 @ sK4) != $true)), 0.21/0.47 inference(cnf_transformation,[],[f20])). 0.21/0.47 thf(f20,plain,( 0.21/0.47 (((sK7 @ sK6 @ sK4) != $true) & ! [X4 : a,X5 : a,X6 : a] : (($true != (sK7 @ X4 @ X5)) | ((sK7 @ X4 @ X6) = $true) | ($true != (sK7 @ X5 @ X6))) & ! [X7 : a,X8 : a] : (((sK7 @ X8 @ X7) = $true) | ! [X9 : a > a > $o] : (! [X10 : a > a > $o] : (($true != (sK5 @ X10)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))))) != X9)) | ($true != (X9 @ X8 @ X7))))) & ! [X11 : a > a > $o] : ((((X11 @ (sK8 @ X11) @ (sK9 @ X11)) != $true) & ($true = (X11 @ (sK8 @ X11) @ (sK10 @ X11))) & ($true = (X11 @ (sK10 @ X11) @ (sK9 @ X11)))) | ($true = (sP0 @ sK5 @ X11)) | ($true = (X11 @ sK6 @ sK4)))), 0.21/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f16,f19,f18,f17])). 0.21/0.47 thf(f17,plain,( 0.21/0.47 ? [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (? [X3 : a > a > $o] : (((X3 @ X2 @ X0) != $true) & ! [X4 : a,X5 : a,X6 : a] : (((X3 @ X4 @ X5) != $true) | ((X3 @ X4 @ X6) = $true) | ((X3 @ X5 @ X6) != $true)) & ! [X7 : a,X8 : a] : (($true = (X3 @ X8 @ X7)) | ! [X9 : a > a > $o] : (! [X10 : a > a > $o] : (((X1 @ X10) != $true) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))))) != X9)) | ($true != (X9 @ X8 @ X7))))) & ! [X11 : a > a > $o] : (? [X12 : a,X13 : a,X14 : a] : (((X11 @ X12 @ X13) != $true) & ($true = (X11 @ X12 @ X14)) & ($true = (X11 @ X14 @ X13))) | ($true = (sP0 @ X1 @ X11)) | ((X11 @ X2 @ X0) = $true))) => (? [X3 : a > a > $o] : (((X3 @ sK6 @ sK4) != $true) & ! [X4 : a,X5 : a,X6 : a] : (((X3 @ X4 @ X5) != $true) | ((X3 @ X4 @ X6) = $true) | ((X3 @ X5 @ X6) != $true)) & ! [X8 : a,X7 : a] : (($true = (X3 @ X8 @ X7)) | ! [X9 : a > a > $o] : (! [X10 : a > a > $o] : (($true != (sK5 @ X10)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))))) != X9)) | ($true != (X9 @ X8 @ X7))))) & ! [X11 : a > a > $o] : (? [X12 : a,X13 : a,X14 : a] : (((X11 @ X12 @ X13) != $true) & ($true = (X11 @ X12 @ X14)) & ($true = (X11 @ X14 @ X13))) | ($true = (sP0 @ sK5 @ X11)) | ($true = (X11 @ sK6 @ sK4))))), 0.21/0.47 introduced(choice_axiom,[])). 0.21/0.47 thf(f18,plain,( 0.21/0.47 ? [X3 : a > a > $o] : (((X3 @ sK6 @ sK4) != $true) & ! [X4 : a,X5 : a,X6 : a] : (((X3 @ X4 @ X5) != $true) | ((X3 @ X4 @ X6) = $true) | ((X3 @ X5 @ X6) != $true)) & ! [X8 : a,X7 : a] : (($true = (X3 @ X8 @ X7)) | ! [X9 : a > a > $o] : (! [X10 : a > a > $o] : (($true != (sK5 @ X10)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))))) != X9)) | ($true != (X9 @ X8 @ X7))))) => (((sK7 @ sK6 @ sK4) != $true) & ! [X6 : a,X5 : a,X4 : a] : (($true != (sK7 @ X4 @ X5)) | ((sK7 @ X4 @ X6) = $true) | ($true != (sK7 @ X5 @ X6))) & ! [X8 : a,X7 : a] : (((sK7 @ X8 @ X7) = $true) | ! [X9 : a > a > $o] : (! [X10 : a > a > $o] : (($true != (sK5 @ X10)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))))) != X9)) | ($true != (X9 @ X8 @ X7)))))), 0.21/0.47 introduced(choice_axiom,[])). 0.21/0.47 thf(f19,plain,( 0.21/0.47 ! [X11 : a > a > $o] : (? [X12 : a,X13 : a,X14 : a] : (((X11 @ X12 @ X13) != $true) & ($true = (X11 @ X12 @ X14)) & ($true = (X11 @ X14 @ X13))) => (((X11 @ (sK8 @ X11) @ (sK9 @ X11)) != $true) & ($true = (X11 @ (sK8 @ X11) @ (sK10 @ X11))) & ($true = (X11 @ (sK10 @ X11) @ (sK9 @ X11)))))), 0.21/0.47 introduced(choice_axiom,[])). 0.21/0.47 thf(f16,plain,( 0.21/0.47 ? [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (? [X3 : a > a > $o] : (((X3 @ X2 @ X0) != $true) & ! [X4 : a,X5 : a,X6 : a] : (((X3 @ X4 @ X5) != $true) | ((X3 @ X4 @ X6) = $true) | ((X3 @ X5 @ X6) != $true)) & ! [X7 : a,X8 : a] : (($true = (X3 @ X8 @ X7)) | ! [X9 : a > a > $o] : (! [X10 : a > a > $o] : (((X1 @ X10) != $true) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))))) != X9)) | ($true != (X9 @ X8 @ X7))))) & ! [X11 : a > a > $o] : (? [X12 : a,X13 : a,X14 : a] : (((X11 @ X12 @ X13) != $true) & ($true = (X11 @ X12 @ X14)) & ($true = (X11 @ X14 @ X13))) | ($true = (sP0 @ X1 @ X11)) | ((X11 @ X2 @ X0) = $true)))), 0.21/0.47 inference(rectify,[],[f10])). 0.21/0.47 thf(f10,plain,( 0.21/0.47 ? [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (? [X10 : a > a > $o] : (((X10 @ X2 @ X0) != $true) & ! [X15 : a,X16 : a,X17 : a] : (((X10 @ X15 @ X16) != $true) | ((X10 @ X15 @ X17) = $true) | ($true != (X10 @ X16 @ X17))) & ! [X11 : a,X12 : a] : (($true = (X10 @ X12 @ X11)) | ! [X13 : a > a > $o] : (! [X14 : a > a > $o] : (($true != (X1 @ X14)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X14 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))))) != X13)) | ($true != (X13 @ X12 @ X11))))) & ! [X3 : a > a > $o] : (? [X7 : a,X8 : a,X9 : a] : (($true != (X3 @ X7 @ X8)) & ($true = (X3 @ X7 @ X9)) & ((X3 @ X9 @ X8) = $true)) | ((sP0 @ X1 @ X3) = $true) | ((X3 @ X2 @ X0) = $true)))), 0.21/0.47 inference(definition_folding,[],[f8,f9])). 0.21/0.47 thf(f9,plain,( 0.21/0.47 ! [X3 : a > a > $o,X1 : (a > a > $o) > $o] : (? [X4 : a,X5 : a] : (((X3 @ X4 @ X5) != $true) & ? [X6 : a > a > $o] : (((X1 @ X6) = $true) & ((X6 @ X4 @ X5) = $true))) | ~((sP0 @ X1 @ X3) = $true))), 0.21/0.47 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])). 0.21/0.47 thf(f8,plain,( 0.21/0.47 ? [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (? [X10 : a > a > $o] : (((X10 @ X2 @ X0) != $true) & ! [X15 : a,X16 : a,X17 : a] : (((X10 @ X15 @ X16) != $true) | ((X10 @ X15 @ X17) = $true) | ($true != (X10 @ X16 @ X17))) & ! [X11 : a,X12 : a] : (($true = (X10 @ X12 @ X11)) | ! [X13 : a > a > $o] : (! [X14 : a > a > $o] : (($true != (X1 @ X14)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X14 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))))) != X13)) | ($true != (X13 @ X12 @ X11))))) & ! [X3 : a > a > $o] : (? [X7 : a,X8 : a,X9 : a] : (($true != (X3 @ X7 @ X8)) & ($true = (X3 @ X7 @ X9)) & ((X3 @ X9 @ X8) = $true)) | ? [X4 : a,X5 : a] : (((X3 @ X4 @ X5) != $true) & ? [X6 : a > a > $o] : (((X1 @ X6) = $true) & ((X6 @ X4 @ X5) = $true))) | ((X3 @ X2 @ X0) = $true)))), 0.21/0.47 inference(flattening,[],[f7])). 0.21/0.47 thf(f7,plain,( 0.21/0.47 ? [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (? [X10 : a > a > $o] : (((X10 @ X2 @ X0) != $true) & (! [X11 : a,X12 : a] : (($true = (X10 @ X12 @ X11)) | ! [X13 : a > a > $o] : (! [X14 : a > a > $o] : (($true != (X1 @ X14)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X14 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))))) != X13)) | ($true != (X13 @ X12 @ X11)))) & ! [X15 : a,X16 : a,X17 : a] : (((X10 @ X15 @ X17) = $true) | (((X10 @ X15 @ X16) != $true) | ($true != (X10 @ X16 @ X17)))))) & ! [X3 : a > a > $o] : (((X3 @ X2 @ X0) = $true) | (? [X7 : a,X8 : a,X9 : a] : (($true != (X3 @ X7 @ X8)) & (((X3 @ X9 @ X8) = $true) & ($true = (X3 @ X7 @ X9)))) | ? [X4 : a,X5 : a] : (((X3 @ X4 @ X5) != $true) & ? [X6 : a > a > $o] : (((X1 @ X6) = $true) & ((X6 @ X4 @ X5) = $true))))))), 0.21/0.47 inference(ennf_transformation,[],[f6])). 0.21/0.47 thf(f6,plain,( 0.21/0.47 ~! [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (! [X3 : a > a > $o] : ((! [X7 : a,X8 : a,X9 : a] : ((((X3 @ X9 @ X8) = $true) & ($true = (X3 @ X7 @ X9))) => ($true = (X3 @ X7 @ X8))) & ! [X4 : a,X5 : a] : (? [X6 : a > a > $o] : (((X1 @ X6) = $true) & ((X6 @ X4 @ X5) = $true)) => ((X3 @ X4 @ X5) = $true))) => ((X3 @ X2 @ X0) = $true)) => ! [X10 : a > a > $o] : ((! [X11 : a,X12 : a] : (? [X13 : a > a > $o] : (($true = (X13 @ X12 @ X11)) & ? [X14 : a > a > $o] : (((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X14 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))))) = X13) & ($true = (X1 @ X14)))) => ($true = (X10 @ X12 @ X11))) & ! [X15 : a,X16 : a,X17 : a] : ((((X10 @ X15 @ X16) = $true) & ($true = (X10 @ X16 @ X17))) => ((X10 @ X15 @ X17) = $true))) => ((X10 @ X2 @ X0) = $true)))), 0.21/0.47 inference(rectify,[],[f5])). 0.21/0.47 thf(f5,plain,( 0.21/0.47 ~! [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (! [X3 : a > a > $o] : ((! [X7 : a,X8 : a,X9 : a] : ((((X3 @ X9 @ X8) = $true) & ($true = (X3 @ X7 @ X9))) => ($true = (X3 @ X7 @ X8))) & ! [X4 : a,X5 : a] : (? [X6 : a > a > $o] : (((X1 @ X6) = $true) & ((X6 @ X4 @ X5) = $true)) => ((X3 @ X4 @ X5) = $true))) => ((X3 @ X2 @ X0) = $true)) => ! [X10 : a > a > $o] : ((! [X11 : a,X12 : a] : (? [X13 : a > a > $o] : (($true = (X13 @ X12 @ X11)) & ? [X14 : a > a > $o] : (((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X14 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))))) = X13) & ($true = (X1 @ X14)))) => ($true = (X10 @ X12 @ X11))) & ! [X23 : a,X24 : a,X25 : a] : ((((X10 @ X23 @ X24) = $true) & ($true = (X10 @ X24 @ X25))) => ($true = (X10 @ X23 @ X25)))) => ((X10 @ X2 @ X0) = $true)))), 0.21/0.47 inference(fool_elimination,[],[f4])). 0.21/0.47 thf(f4,plain,( 0.21/0.47 ~! [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (! [X3 : a > a > $o] : ((! [X4 : a,X5 : a] : (? [X6 : a > a > $o] : ((X1 @ X6) & (X6 @ X4 @ X5)) => (X3 @ X4 @ X5)) & ! [X7 : a,X8 : a,X9 : a] : (((X3 @ X7 @ X9) & (X3 @ X9 @ X8)) => (X3 @ X7 @ X8))) => (X3 @ X2 @ X0)) => ! [X10 : a > a > $o] : ((! [X11 : a,X12 : a] : (? [X13 : a > a > $o] : (? [X14 : a > a > $o] : ((X13 = (^[X15 : a, X16 : a] : (! [X17 : a > a > $o] : ((! [X18 : a,X19 : a,X20 : a] : (((X17 @ X20 @ X18) & (X17 @ X18 @ X19)) => (X17 @ X20 @ X19)) & ! [X21 : a,X22 : a] : ((X14 @ X22 @ X21) => (X17 @ X22 @ X21))) => (X17 @ X15 @ X16))))) & (X1 @ X14)) & (X13 @ X12 @ X11)) => (X10 @ X12 @ X11)) & ! [X23 : a,X24 : a,X25 : a] : (((X10 @ X23 @ X24) & (X10 @ X24 @ X25)) => (X10 @ X23 @ X25))) => (X10 @ X2 @ X0)))), 0.21/0.47 inference(rectify,[],[f2])). 0.21/0.47 thf(f2,negated_conjecture,( 0.21/0.47 ~! [X2 : a,X0 : (a > a > $o) > $o,X1 : a] : (! [X3 : a > a > $o] : ((! [X4 : a,X5 : a] : (? [X7 : a > a > $o] : ((X0 @ X7) & (X7 @ X4 @ X5)) => (X3 @ X4 @ X5)) & ! [X4 : a,X6 : a,X5 : a] : (((X3 @ X4 @ X5) & (X3 @ X5 @ X6)) => (X3 @ X4 @ X6))) => (X3 @ X1 @ X2)) => ! [X3 : a > a > $o] : ((! [X5 : a,X4 : a] : (? [X7 : a > a > $o] : (? [X8 : a > a > $o] : ((X7 = (^[X9 : a, X10 : a] : (! [X11 : a > a > $o] : ((! [X13 : a,X6 : a,X12 : a] : (((X11 @ X12 @ X13) & (X11 @ X13 @ X6)) => (X11 @ X12 @ X6)) & ! [X13 : a,X12 : a] : ((X8 @ X12 @ X13) => (X11 @ X12 @ X13))) => (X11 @ X9 @ X10))))) & (X0 @ X8)) & (X7 @ X4 @ X5)) => (X3 @ X4 @ X5)) & ! [X4 : a,X5 : a,X6 : a] : (((X3 @ X4 @ X5) & (X3 @ X5 @ X6)) => (X3 @ X4 @ X6))) => (X3 @ X1 @ X2)))), 0.21/0.47 inference(negated_conjecture,[],[f1])). 0.21/0.47 thf(f1,conjecture,( 0.21/0.47 ! [X2 : a,X0 : (a > a > $o) > $o,X1 : a] : (! [X3 : a > a > $o] : ((! [X4 : a,X5 : a] : (? [X7 : a > a > $o] : ((X0 @ X7) & (X7 @ X4 @ X5)) => (X3 @ X4 @ X5)) & ! [X4 : a,X6 : a,X5 : a] : (((X3 @ X4 @ X5) & (X3 @ X5 @ X6)) => (X3 @ X4 @ X6))) => (X3 @ X1 @ X2)) => ! [X3 : a > a > $o] : ((! [X5 : a,X4 : a] : (? [X7 : a > a > $o] : (? [X8 : a > a > $o] : ((X7 = (^[X9 : a, X10 : a] : (! [X11 : a > a > $o] : ((! [X13 : a,X6 : a,X12 : a] : (((X11 @ X12 @ X13) & (X11 @ X13 @ X6)) => (X11 @ X12 @ X6)) & ! [X13 : a,X12 : a] : ((X8 @ X12 @ X13) => (X11 @ X12 @ X13))) => (X11 @ X9 @ X10))))) & (X0 @ X8)) & (X7 @ X4 @ X5)) => (X3 @ X4 @ X5)) & ! [X4 : a,X5 : a,X6 : a] : (((X3 @ X4 @ X5) & (X3 @ X5 @ X6)) => (X3 @ X4 @ X6))) => (X3 @ X1 @ X2)))), 0.21/0.47 file('/export/starexec/sandbox2/tmp/tmp.yUk6EzQjUe/Vampire---4.8_7414',cTHM253_A_pme)). 0.21/0.47 thf(f455,plain,( 0.21/0.47 ((sK7 @ sK6 @ sK4) = $true) | ((sP0 @ sK5 @ sK7) = $true) | (~spl11_1 | spl11_2)), 0.21/0.47 inference(trivial_inequality_removal,[],[f454])). 0.21/0.47 thf(f454,plain,( 0.21/0.47 ($true != $true) | ((sK7 @ sK6 @ sK4) = $true) | ((sP0 @ sK5 @ sK7) = $true) | (~spl11_1 | spl11_2)), 0.21/0.47 inference(superposition,[],[f450,f24])). 0.21/0.47 thf(f24,plain,( 0.21/0.47 ( ! [X11 : a > a > $o] : (($true = (X11 @ (sK10 @ X11) @ (sK9 @ X11))) | ($true = (sP0 @ sK5 @ X11)) | ($true = (X11 @ sK6 @ sK4))) )), 0.21/0.47 inference(cnf_transformation,[],[f20])). 0.21/0.47 thf(f450,plain,( 0.21/0.47 ((sK7 @ (sK10 @ sK7) @ (sK9 @ sK7)) != $true) | (~spl11_1 | spl11_2)), 0.21/0.47 inference(subsumption_resolution,[],[f449,f29])). 0.21/0.47 thf(f449,plain,( 0.21/0.47 ((sK7 @ sK6 @ sK4) = $true) | ((sK7 @ (sK10 @ sK7) @ (sK9 @ sK7)) != $true) | (~spl11_1 | spl11_2)), 0.21/0.47 inference(subsumption_resolution,[],[f448,f137])). 0.21/0.47 thf(f448,plain,( 0.21/0.47 ((sP0 @ sK5 @ sK7) = $true) | ((sK7 @ (sK10 @ sK7) @ (sK9 @ sK7)) != $true) | ((sK7 @ sK6 @ sK4) = $true) | ~spl11_1), 0.21/0.47 inference(trivial_inequality_removal,[],[f445])). 0.21/0.47 thf(f445,plain,( 0.21/0.47 ((sK7 @ sK6 @ sK4) = $true) | ((sK7 @ (sK10 @ sK7) @ (sK9 @ sK7)) != $true) | ((sP0 @ sK5 @ sK7) = $true) | ($true != $true) | ~spl11_1), 0.21/0.47 inference(superposition,[],[f134,f25])). 0.21/0.47 thf(f25,plain,( 0.21/0.47 ( ! [X11 : a > a > $o] : (($true = (X11 @ (sK8 @ X11) @ (sK10 @ X11))) | ($true = (X11 @ sK6 @ sK4)) | ($true = (sP0 @ sK5 @ X11))) )), 0.21/0.47 inference(cnf_transformation,[],[f20])). 0.21/0.47 thf(f134,plain,( 0.21/0.47 ( ! [X0 : a] : (($true != (sK7 @ (sK8 @ sK7) @ X0)) | ($true != (sK7 @ X0 @ (sK9 @ sK7)))) ) | ~spl11_1), 0.21/0.47 inference(avatar_component_clause,[],[f133])). 0.21/0.47 thf(f133,plain,( 0.21/0.47 spl11_1 <=> ! [X0 : a] : (($true != (sK7 @ X0 @ (sK9 @ sK7))) | ($true != (sK7 @ (sK8 @ sK7) @ X0)))), 0.21/0.47 introduced(avatar_definition,[new_symbols(naming,[spl11_1])])). 0.21/0.47 thf(f427,plain,( 0.21/0.47 ~spl11_2), 0.21/0.47 inference(avatar_split_clause,[],[f417,f136])). 0.21/0.47 thf(f417,plain,( 0.21/0.47 ((sP0 @ sK5 @ sK7) != $true)), 0.21/0.47 inference(trivial_inequality_removal,[],[f416])). 0.21/0.47 thf(f416,plain,( 0.21/0.47 ($true != $true) | ((sP0 @ sK5 @ sK7) != $true)), 0.21/0.47 inference(duplicate_literal_removal,[],[f415])). 0.21/0.47 thf(f415,plain,( 0.21/0.47 ((sP0 @ sK5 @ sK7) != $true) | ($true != $true) | ((sP0 @ sK5 @ sK7) != $true)), 0.21/0.47 inference(superposition,[],[f411,f22])). 0.21/0.47 thf(f22,plain,( 0.21/0.47 ( ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : (($true = (X1 @ (sK3 @ X1 @ X0))) | ((sP0 @ X1 @ X0) != $true)) )), 0.21/0.47 inference(cnf_transformation,[],[f15])). 0.21/0.47 thf(f15,plain,( 0.21/0.47 ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : ((($true != (X0 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0))) & (($true = (X1 @ (sK3 @ X1 @ X0))) & ($true = (sK3 @ X1 @ X0 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0))))) | ((sP0 @ X1 @ X0) != $true))), 0.21/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f12,f14,f13])). 0.21/0.47 thf(f13,plain,( 0.21/0.47 ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : (? [X2 : a,X3 : a] : (($true != (X0 @ X2 @ X3)) & ? [X4 : a > a > $o] : (($true = (X1 @ X4)) & ($true = (X4 @ X2 @ X3)))) => (($true != (X0 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0))) & ? [X4 : a > a > $o] : (($true = (X1 @ X4)) & ((X4 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0)) = $true))))), 0.21/0.47 introduced(choice_axiom,[])). 0.21/0.47 thf(f14,plain,( 0.21/0.47 ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : (? [X4 : a > a > $o] : (($true = (X1 @ X4)) & ((X4 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0)) = $true)) => (($true = (X1 @ (sK3 @ X1 @ X0))) & ($true = (sK3 @ X1 @ X0 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0)))))), 0.21/0.47 introduced(choice_axiom,[])). 0.21/0.47 thf(f12,plain,( 0.21/0.47 ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : (? [X2 : a,X3 : a] : (($true != (X0 @ X2 @ X3)) & ? [X4 : a > a > $o] : (($true = (X1 @ X4)) & ($true = (X4 @ X2 @ X3)))) | ((sP0 @ X1 @ X0) != $true))), 0.21/0.47 inference(rectify,[],[f11])). 0.21/0.47 thf(f11,plain,( 0.21/0.47 ! [X3 : a > a > $o,X1 : (a > a > $o) > $o] : (? [X4 : a,X5 : a] : (((X3 @ X4 @ X5) != $true) & ? [X6 : a > a > $o] : (((X1 @ X6) = $true) & ((X6 @ X4 @ X5) = $true))) | ((sP0 @ X1 @ X3) != $true))), 0.21/0.47 inference(nnf_transformation,[],[f9])). 0.21/0.47 thf(f411,plain,( 0.21/0.47 ( ! [X0 : (a > a > $o) > $o] : (($true != (sK5 @ (sK3 @ X0 @ sK7))) | ($true != (sP0 @ X0 @ sK7))) )), 0.21/0.47 inference(trivial_inequality_removal,[],[f410])). 0.21/0.47 thf(f410,plain,( 0.21/0.47 ( ! [X0 : (a > a > $o) > $o] : (($true != $true) | ($true != (sP0 @ X0 @ sK7)) | ($true != (sK5 @ (sK3 @ X0 @ sK7)))) )), 0.21/0.47 inference(duplicate_literal_removal,[],[f402])). 0.21/0.47 thf(f402,plain,( 0.21/0.47 ( ! [X0 : (a > a > $o) > $o] : (($true != (sP0 @ X0 @ sK7)) | ($true != $true) | ($true != (sP0 @ X0 @ sK7)) | ($true != (sK5 @ (sK3 @ X0 @ sK7)))) )), 0.21/0.47 inference(superposition,[],[f23,f215])). 0.21/0.47 thf(f215,plain,( 0.21/0.47 ( ! [X0 : (a > a > $o) > $o,X1 : a > a > $o] : (((sK7 @ (sK1 @ X0 @ X1) @ (sK2 @ X0 @ X1)) = $true) | ($true != (sK5 @ (sK3 @ X0 @ X1))) | ((sP0 @ X0 @ X1) != $true)) )), 0.21/0.47 inference(trivial_inequality_removal,[],[f186])). 0.21/0.47 thf(f186,plain,( 0.21/0.47 ( ! [X0 : (a > a > $o) > $o,X1 : a > a > $o] : (((sP0 @ X0 @ X1) != $true) | ($true != (sK5 @ (sK3 @ X0 @ X1))) | ((sK7 @ (sK1 @ X0 @ X1) @ (sK2 @ X0 @ X1)) = $true) | ($false = $true)) )), 0.21/0.47 inference(superposition,[],[f21,f171])). 0.21/0.47 thf(f171,plain,( 0.21/0.47 ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (($false = (X0 @ X2 @ X1)) | ($true != (sK5 @ X0)) | ((sK7 @ X2 @ X1) = $true)) )), 0.21/0.47 inference(trivial_inequality_removal,[],[f170])). 0.21/0.47 thf(f170,plain,( 0.21/0.47 ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (($false = $true) | ($true != (sK5 @ X0)) | ((sK7 @ X2 @ X1) = $true) | ($false = (X0 @ X2 @ X1))) )), 0.21/0.47 inference(duplicate_literal_removal,[],[f163])). 0.21/0.47 thf(f163,plain,( 0.21/0.47 ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (($false = (X0 @ X2 @ X1)) | ($true != (sK5 @ X0)) | ((sK7 @ X2 @ X1) = $true) | ($false = $true) | ((sK7 @ X2 @ X1) = $true) | ($true != (sK5 @ X0))) )), 0.21/0.47 inference(superposition,[],[f34,f42])). 0.21/0.47 thf(f42,plain,( 0.21/0.47 ( ! [X10 : a > a > $o,X11 : a,X8 : a,X7 : a,X12 : a] : (($true = (sK13 @ X10 @ X7 @ X8 @ X11 @ X12)) | ((sK7 @ X8 @ X7) = $true) | ($false = (X10 @ X11 @ X12)) | ($true != (sK5 @ X10))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f41])). 0.21/0.47 thf(f41,plain,( 0.21/0.47 ( ! [X10 : a > a > $o,X11 : a,X8 : a,X7 : a,X12 : a] : (($true = ((X10 @ X11 @ X12) => (sK13 @ X10 @ X7 @ X8 @ X11 @ X12))) | ((sK7 @ X8 @ X7) = $true) | ($true != (sK5 @ X10))) )), 0.21/0.47 inference(beta_eta_normalization,[],[f40])). 0.21/0.47 thf(f40,plain,( 0.21/0.47 ( ! [X10 : a > a > $o,X11 : a,X8 : a,X7 : a,X12 : a] : ((((^[Y0 : a]: ((X10 @ X11 @ Y0) => (sK13 @ X10 @ X7 @ X8 @ X11 @ Y0))) @ X12) = $true) | ((sK7 @ X8 @ X7) = $true) | ($true != (sK5 @ X10))) )), 0.21/0.47 inference(pi_clausification,[],[f39])). 0.21/0.47 thf(f39,plain,( 0.21/0.47 ( ! [X10 : a > a > $o,X11 : a,X8 : a,X7 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((X10 @ X11 @ Y0) => (sK13 @ X10 @ X7 @ X8 @ X11 @ Y0))))) | ((sK7 @ X8 @ X7) = $true) | ($true != (sK5 @ X10))) )), 0.21/0.47 inference(beta_eta_normalization,[],[f38])). 0.21/0.47 thf(f38,plain,( 0.21/0.47 ( ! [X10 : a > a > $o,X11 : a,X8 : a,X7 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((X10 @ Y0 @ Y1) => (sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1))))) @ X11)) | ($true != (sK5 @ X10)) | ((sK7 @ X8 @ X7) = $true)) )), 0.21/0.47 inference(pi_clausification,[],[f37])). 0.21/0.47 thf(f37,plain,( 0.21/0.47 ( ! [X10 : a > a > $o,X8 : a,X7 : a] : (((sK7 @ X8 @ X7) = $true) | ($true != (sK5 @ X10)) | ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((X10 @ Y0 @ Y1) => (sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1)))))))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f35])). 0.21/0.47 thf(f35,plain,( 0.21/0.47 ( ! [X10 : a > a > $o,X8 : a,X7 : a] : ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((X10 @ Y0 @ Y1) => (sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK13 @ X10 @ X7 @ X8 @ Y2 @ Y1) & (sK13 @ X10 @ X7 @ X8 @ Y0 @ Y2)) => (sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1))))))))) = $true) | ((sK7 @ X8 @ X7) = $true) | ($true != (sK5 @ X10))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f33])). 0.21/0.47 thf(f33,plain,( 0.21/0.47 ( ! [X10 : a > a > $o,X8 : a,X7 : a] : (($true != (sK5 @ X10)) | ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((X10 @ Y0 @ Y1) => (sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK13 @ X10 @ X7 @ X8 @ Y2 @ Y1) & (sK13 @ X10 @ X7 @ X8 @ Y0 @ Y2)) => (sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1))))))))) => (sK13 @ X10 @ X7 @ X8 @ X8 @ X7)) = $false) | ((sK7 @ X8 @ X7) = $true)) )), 0.21/0.47 inference(beta_eta_normalization,[],[f32])). 0.21/0.47 thf(f32,plain,( 0.21/0.47 ( ! [X10 : a > a > $o,X8 : a,X7 : a] : (($false = ((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((X10 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ X8 @ X7))) @ (sK13 @ X10 @ X7 @ X8))) | ($true != (sK5 @ X10)) | ((sK7 @ X8 @ X7) = $true)) )), 0.21/0.47 inference(sigma_clausification,[],[f31])). 0.21/0.47 thf(f31,plain,( 0.21/0.47 ( ! [X10 : a > a > $o,X8 : a,X7 : a] : (($true != (sK5 @ X10)) | ((sK7 @ X8 @ X7) = $true) | ($true != (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((X10 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y2) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y1 @ Y2))))))))) => (Y0 @ X8 @ X7)))))) )), 0.21/0.47 inference(beta_eta_normalization,[],[f30])). 0.21/0.47 thf(f30,plain,( 0.21/0.47 ( ! [X10 : a > a > $o,X8 : a,X7 : a] : (((sK7 @ X8 @ X7) = $true) | ($true != ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))))) @ X8 @ X7)) | ($true != (sK5 @ X10))) )), 0.21/0.47 inference(equality_resolution,[],[f27])). 0.21/0.47 thf(f27,plain,( 0.21/0.47 ( ! [X10 : a > a > $o,X8 : a,X9 : a > a > $o,X7 : a] : (((sK7 @ X8 @ X7) = $true) | ($true != (sK5 @ X10)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y4) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y3 @ Y4))))))))) => (Y2 @ Y0 @ Y1))))))) != X9) | ($true != (X9 @ X8 @ X7))) )), 0.21/0.47 inference(cnf_transformation,[],[f20])). 0.21/0.47 thf(f34,plain,( 0.21/0.47 ( ! [X10 : a > a > $o,X8 : a,X7 : a] : (((sK13 @ X10 @ X7 @ X8 @ X8 @ X7) = $false) | ((sK7 @ X8 @ X7) = $true) | ($true != (sK5 @ X10))) )), 0.21/0.47 inference(binary_proxy_clausification,[],[f33])). 0.21/0.47 thf(f21,plain,( 0.21/0.47 ( ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : (($true = (sK3 @ X1 @ X0 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0))) | ((sP0 @ X1 @ X0) != $true)) )), 0.21/0.47 inference(cnf_transformation,[],[f15])). 0.21/0.47 thf(f23,plain,( 0.21/0.47 ( ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : (($true != (X0 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0))) | ((sP0 @ X1 @ X0) != $true)) )), 0.21/0.47 inference(cnf_transformation,[],[f15])). 0.21/0.47 thf(f139,plain,( 0.21/0.47 spl11_1 | spl11_2), 0.21/0.47 inference(avatar_split_clause,[],[f131,f136,f133])). 0.21/0.47 thf(f131,plain,( 0.21/0.47 ( ! [X0 : a] : (((sP0 @ sK5 @ sK7) = $true) | ($true != (sK7 @ X0 @ (sK9 @ sK7))) | ($true != (sK7 @ (sK8 @ sK7) @ X0))) )), 0.21/0.47 inference(subsumption_resolution,[],[f117,f29])). 0.21/0.47 thf(f117,plain,( 0.21/0.47 ( ! [X0 : a] : (((sK7 @ sK6 @ sK4) = $true) | ((sP0 @ sK5 @ sK7) = $true) | ($true != (sK7 @ X0 @ (sK9 @ sK7))) | ($true != (sK7 @ (sK8 @ sK7) @ X0))) )), 0.21/0.47 inference(trivial_inequality_removal,[],[f116])). 0.21/0.47 thf(f116,plain,( 0.21/0.47 ( ! [X0 : a] : (((sK7 @ sK6 @ sK4) = $true) | ($true != $true) | ($true != (sK7 @ X0 @ (sK9 @ sK7))) | ((sP0 @ sK5 @ sK7) = $true) | ($true != (sK7 @ (sK8 @ sK7) @ X0))) )), 0.21/0.47 inference(superposition,[],[f26,f28])). 0.21/0.47 thf(f28,plain,( 0.21/0.47 ( ! [X6 : a,X4 : a,X5 : a] : (((sK7 @ X4 @ X6) = $true) | ($true != (sK7 @ X4 @ X5)) | ($true != (sK7 @ X5 @ X6))) )), 0.21/0.47 inference(cnf_transformation,[],[f20])). 0.21/0.47 thf(f26,plain,( 0.21/0.47 ( ! [X11 : a > a > $o] : (((X11 @ (sK8 @ X11) @ (sK9 @ X11)) != $true) | ($true = (X11 @ sK6 @ sK4)) | ($true = (sP0 @ sK5 @ X11))) )), 0.21/0.47 inference(cnf_transformation,[],[f20])). 0.21/0.47 % SZS output end Proof for Vampire---4 0.21/0.47 % (7588)------------------------------ 0.21/0.47 % (7588)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.47 % (7588)Termination reason: Refutation 0.21/0.47 0.21/0.47 % (7588)Memory used [KB]: 5884 0.21/0.47 % (7588)Time elapsed: 0.088 s 0.21/0.47 % (7588)Instructions burned: 81 (million) 0.21/0.47 % (7588)------------------------------ 0.21/0.47 % (7588)------------------------------ 0.21/0.47 % (7580)Success in time 0.098 s 0.21/0.47 % Vampire---4.8 exiting 0.21/0.47 EOF