0.12/0.18 % Problem : Vampire---4.8_20595 : TPTP v0.0.0. Released v0.0.0. 0.12/0.20 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.41 % Computer : n005.cluster.edu 0.14/0.41 % Model : x86_64 x86_64 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.41 % Memory : 8042.1875MB 0.14/0.41 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.41 % CPULimit : 1440 0.14/0.41 % WCLimit : 180 0.14/0.41 % DateTime : Mon Jul 3 12:43:30 EDT 2023 0.14/0.41 % CPUTime : 0.14/0.41 This is a THF_ problem 0.14/0.41 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.4CYpXX1K4l/Vampire---4.8_20595 -m 12000 -t 180 0.14/0.43 % (20707)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.14/0.43 % (20703)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.14/0.43 % (20704)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.14/0.43 % (20705)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) 0.14/0.43 % (20706)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) 0.14/0.43 % (20708)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) 0.14/0.43 % (20709)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) 0.14/0.43 % (20710)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) 0.22/0.43 % (20709)Instruction limit reached! 0.22/0.43 % (20709)------------------------------ 0.22/0.43 % (20709)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.43 % (20709)Termination reason: Unknown 0.22/0.43 % (20709)Termination phase: Preprocessing 3 0.22/0.43 0.22/0.43 % (20709)Memory used [KB]: 1023 0.22/0.43 % (20709)Time elapsed: 0.005 s 0.22/0.43 % (20709)Instructions burned: 5 (million) 0.22/0.43 % (20709)------------------------------ 0.22/0.43 % (20709)------------------------------ 0.22/0.44 % (20707)Instruction limit reached! 0.22/0.44 % (20707)------------------------------ 0.22/0.44 % (20707)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.44 % (20707)Termination reason: Unknown 0.22/0.44 % (20707)Termination phase: Saturation 0.22/0.44 0.22/0.44 % (20707)Memory used [KB]: 5756 0.22/0.44 % (20707)Time elapsed: 0.013 s 0.22/0.44 % (20707)Instructions burned: 17 (million) 0.22/0.44 % (20707)------------------------------ 0.22/0.44 % (20707)------------------------------ 0.22/0.45 % (20711)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) 0.22/0.45 % (20705)Instruction limit reached! 0.22/0.45 % (20705)------------------------------ 0.22/0.45 % (20705)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.45 % (20705)Termination reason: Unknown 0.22/0.45 % (20705)Termination phase: Saturation 0.22/0.45 0.22/0.45 % (20705)Memory used [KB]: 5756 0.22/0.45 % (20705)Time elapsed: 0.023 s 0.22/0.45 % (20705)Instructions burned: 34 (million) 0.22/0.45 % (20705)------------------------------ 0.22/0.45 % (20705)------------------------------ 0.22/0.45 % (20704)Instruction limit reached! 0.22/0.45 % (20704)------------------------------ 0.22/0.45 % (20704)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.45 % (20704)Termination reason: Unknown 0.22/0.46 % (20704)Termination phase: Saturation 0.22/0.46 0.22/0.46 % (20712)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.22/0.46 % (20704)Memory used [KB]: 5756 0.22/0.46 % (20704)Time elapsed: 0.026 s 0.22/0.46 % (20704)Instructions burned: 36 (million) 0.22/0.46 % (20704)------------------------------ 0.22/0.46 % (20704)------------------------------ 0.22/0.46 % (20712)Instruction limit reached! 0.22/0.46 % (20712)------------------------------ 0.22/0.46 % (20712)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.46 % (20712)Termination reason: Unknown 0.22/0.46 % (20712)Termination phase: Saturation 0.22/0.46 0.22/0.46 % (20712)Memory used [KB]: 5628 0.22/0.46 % (20712)Time elapsed: 0.006 s 0.22/0.46 % (20712)Instructions burned: 7 (million) 0.22/0.46 % (20712)------------------------------ 0.22/0.46 % (20712)------------------------------ 0.22/0.46 % (20711)Instruction limit reached! 0.22/0.46 % (20711)------------------------------ 0.22/0.46 % (20711)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.46 % (20711)Termination reason: Unknown 0.22/0.46 % (20711)Termination phase: Saturation 0.22/0.46 0.22/0.46 % (20711)Memory used [KB]: 5756 0.22/0.46 % (20711)Time elapsed: 0.016 s 0.22/0.46 % (20711)Instructions burned: 21 (million) 0.22/0.46 % (20711)------------------------------ 0.22/0.46 % (20711)------------------------------ 0.22/0.47 % (20706)First to succeed. 0.22/0.47 % (20713)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) 0.22/0.47 % (20708)Instruction limit reached! 0.22/0.47 % (20708)------------------------------ 0.22/0.47 % (20708)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.47 % (20708)Termination reason: Unknown 0.22/0.47 % (20708)Termination phase: Saturation 0.22/0.47 0.22/0.47 % (20708)Memory used [KB]: 6140 0.22/0.47 % (20708)Time elapsed: 0.038 s 0.22/0.47 % (20708)Instructions burned: 74 (million) 0.22/0.47 % (20708)------------------------------ 0.22/0.47 % (20708)------------------------------ 0.22/0.47 % (20714)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) 0.22/0.47 % (20715)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) 0.22/0.48 % (20706)Refutation found. Thanks to Tanya! 0.22/0.48 % SZS status Theorem for Vampire---4 0.22/0.48 % SZS output start Proof for Vampire---4 0.22/0.48 thf(func_def_0, type, cQ_7: $i > $i > $i > $o). 0.22/0.48 thf(func_def_1, type, f: $i > $i). 0.22/0.48 thf(func_def_2, type, cP_6: $i > $i > $o). 0.22/0.48 thf(func_def_3, type, cQ_6: $i > $i > $i > $o). 0.22/0.48 thf(func_def_8, type, cP_5: $i > $i > $o). 0.22/0.48 thf(func_def_9, type, cQ_5: $i > $i > $i > $o). 0.22/0.48 thf(func_def_10, type, cP_4: $i > $i > $o). 0.22/0.48 thf(func_def_11, type, cQ_4: $i > $i > $i > $o). 0.22/0.48 thf(func_def_12, type, cP_3: $i > $i > $o). 0.22/0.48 thf(func_def_13, type, cQ_3: $i > $i > $i > $o). 0.22/0.48 thf(func_def_14, type, cP_2: $i > $i > $o). 0.22/0.48 thf(func_def_15, type, cQ_2: $i > $i > $i > $o). 0.22/0.48 thf(func_def_16, type, cP_1: $i > $i > $o). 0.22/0.48 thf(func_def_17, type, cQ_1: $i > $i > $i > $o). 0.22/0.48 thf(f144,plain,( 0.22/0.48 $false), 0.22/0.48 inference(avatar_sat_refutation,[],[f68,f93,f118,f143])). 0.22/0.48 thf(f143,plain,( 0.22/0.48 ~spl0_1), 0.22/0.48 inference(avatar_contradiction_clause,[],[f142])). 0.22/0.48 thf(f142,plain,( 0.22/0.48 $false | ~spl0_1), 0.22/0.48 inference(trivial_inequality_removal,[],[f141])). 0.22/0.48 thf(f141,plain,( 0.22/0.48 ($true != $true) | ~spl0_1), 0.22/0.48 inference(superposition,[],[f140,f32])). 0.22/0.48 thf(f32,plain,( 0.22/0.48 ((cP_6 @ b @ b) = $true)), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f7,plain,( 0.22/0.48 ! [X0,X1,X2] : ((cQ_7 @ X0 @ X1 @ X2) != $true) & ((cP_2 @ c @ c) = $true) & ! [X3,X4,X5,X6,X7,X8] : (($true != (cP_3 @ (f @ X5) @ X8)) | ($true != (cQ_3 @ X6 @ X5 @ X4)) | ($true != (cP_3 @ (f @ X4) @ X3)) | ($true != (cP_3 @ (f @ X6) @ X7)) | ($true = (cQ_4 @ X7 @ X8 @ X3))) & ((cP_1 @ a @ a) = $true) & ! [X9,X10,X11,X12,X13,X14] : (($true != (cQ_6 @ X11 @ X10 @ X12)) | ($true != (cP_6 @ (f @ X11) @ X9)) | ($true = (cQ_7 @ X9 @ X13 @ X14)) | ($true != (cP_6 @ (f @ X10) @ X13)) | ($true != (cP_6 @ (f @ X12) @ X14))) & ((cP_4 @ c @ c) = $true) & ((cP_2 @ a @ a) = $true) & ! [X15] : ($true = (cP_4 @ d @ X15)) & ! [X16,X17,X18,X19,X20,X21] : (($true != (cQ_5 @ X18 @ X17 @ X21)) | ($true != (cP_5 @ (f @ X21) @ X19)) | ($true != (cP_5 @ (f @ X18) @ X20)) | ($true != (cP_5 @ (f @ X17) @ X16)) | ($true = (cQ_6 @ X20 @ X16 @ X19))) & ((cP_6 @ c @ c) = $true) & ! [X22,X23] : (((cP_6 @ X23 @ X22) != $true) | ($true = (cP_6 @ (f @ X23) @ X22))) & ! [X24,X25,X26,X27,X28,X29] : (($true != (cP_1 @ (f @ X26) @ X27)) | ($true != (cP_1 @ (f @ X25) @ X24)) | ($true != (cQ_1 @ X26 @ X25 @ X28)) | ($true != (cP_1 @ (f @ X28) @ X29)) | ($true = (cQ_2 @ X27 @ X24 @ X29))) & ((cP_1 @ b @ b) = $true) & ((cP_6 @ b @ b) = $true) & ((cQ_1 @ a @ b @ c) = $true) & ((cP_4 @ a @ a) = $true) & ! [X30,X31] : (($true != (cP_2 @ X31 @ X30)) | ($true = (cP_2 @ (f @ X31) @ X30))) & ((cP_3 @ c @ c) = $true) & ((cP_5 @ c @ c) = $true) & ((cP_3 @ a @ a) = $true) & ((cP_5 @ a @ a) = $true) & ((cP_4 @ b @ b) = $true) & ! [X32,X33] : (($true = (cP_5 @ (f @ X32) @ X33)) | ($true != (cP_5 @ X32 @ X33))) & ! [X34,X35] : (($true = (cP_1 @ (f @ X35) @ X34)) | ($true != (cP_1 @ X35 @ X34))) & ! [X36] : ($true = (cP_1 @ d @ X36)) & ((cP_5 @ b @ b) = $true) & ((cP_6 @ a @ a) = $true) & ! [X37] : ($true = (cP_5 @ d @ X37)) & ! [X38,X39,X40,X41,X42,X43] : (($true != (cP_4 @ (f @ X43) @ X38)) | ($true != (cP_4 @ (f @ X40) @ X41)) | ($true != (cP_4 @ (f @ X42) @ X39)) | ($true != (cQ_4 @ X43 @ X40 @ X42)) | ($true = (cQ_5 @ X38 @ X41 @ X39))) & ! [X44,X45] : (($true = (cP_4 @ (f @ X45) @ X44)) | ($true != (cP_4 @ X45 @ X44))) & ! [X46,X47] : (((cP_3 @ (f @ X47) @ X46) = $true) | ($true != (cP_3 @ X47 @ X46))) & ! [X48] : ($true = (cP_3 @ d @ X48)) & ((cP_2 @ b @ b) = $true) & ((cP_1 @ c @ c) = $true) & ((cP_3 @ b @ b) = $true) & ! [X49] : ($true = (cP_2 @ d @ X49)) & ! [X50] : ($true = (cP_6 @ d @ X50)) & ! [X51,X52,X53,X54,X55,X56] : (($true != (cP_2 @ (f @ X52) @ X56)) | ($true != (cP_2 @ (f @ X51) @ X54)) | ($true = (cQ_3 @ X56 @ X54 @ X53)) | ($true != (cP_2 @ (f @ X55) @ X53)) | ($true != (cQ_2 @ X52 @ X51 @ X55)))), 0.22/0.48 inference(rectify,[],[f6])). 0.22/0.48 thf(f6,plain,( 0.22/0.48 ! [X34,X35,X33] : ($true != (cQ_7 @ X34 @ X35 @ X33)) & ((cP_2 @ c @ c) = $true) & ! [X45,X43,X46,X48,X44,X47] : (($true != (cP_3 @ (f @ X46) @ X47)) | ($true != (cQ_3 @ X48 @ X46 @ X43)) | ($true != (cP_3 @ (f @ X43) @ X45)) | ($true != (cP_3 @ (f @ X48) @ X44)) | ($true = (cQ_4 @ X44 @ X47 @ X45))) & ((cP_1 @ a @ a) = $true) & ! [X24,X25,X21,X20,X22,X23] : (($true != (cQ_6 @ X21 @ X25 @ X20)) | ($true != (cP_6 @ (f @ X21) @ X24)) | ($true = (cQ_7 @ X24 @ X22 @ X23)) | ($true != (cP_6 @ (f @ X25) @ X22)) | ($true != (cP_6 @ (f @ X20) @ X23))) & ((cP_4 @ c @ c) = $true) & ((cP_2 @ a @ a) = $true) & ! [X42] : ($true = (cP_4 @ d @ X42)) & ! [X6,X5,X4,X7,X3,X8] : (($true != (cQ_5 @ X4 @ X5 @ X8)) | ($true != (cP_5 @ (f @ X8) @ X7)) | ($true != (cP_5 @ (f @ X4) @ X3)) | ($true != (cP_5 @ (f @ X5) @ X6)) | ($true = (cQ_6 @ X3 @ X6 @ X7))) & ((cP_6 @ c @ c) = $true) & ! [X29,X30] : (($true != (cP_6 @ X30 @ X29)) | ($true = (cP_6 @ (f @ X30) @ X29))) & ! [X39,X38,X37,X41,X40,X36] : (($true != (cP_1 @ (f @ X37) @ X41)) | ($true != (cP_1 @ (f @ X38) @ X39)) | ($true != (cQ_1 @ X37 @ X38 @ X40)) | ($true != (cP_1 @ (f @ X40) @ X36)) | ($true = (cQ_2 @ X41 @ X39 @ X36))) & ((cP_1 @ b @ b) = $true) & ((cP_6 @ b @ b) = $true) & ((cQ_1 @ a @ b @ c) = $true) & ((cP_4 @ a @ a) = $true) & ! [X49,X50] : (($true != (cP_2 @ X50 @ X49)) | ($true = (cP_2 @ (f @ X50) @ X49))) & ((cP_3 @ c @ c) = $true) & ((cP_5 @ c @ c) = $true) & ((cP_3 @ a @ a) = $true) & ((cP_5 @ a @ a) = $true) & ((cP_4 @ b @ b) = $true) & ! [X26,X27] : (($true = (cP_5 @ (f @ X26) @ X27)) | ($true != (cP_5 @ X26 @ X27))) & ! [X13,X12] : (($true = (cP_1 @ (f @ X12) @ X13)) | ($true != (cP_1 @ X12 @ X13))) & ! [X1] : ($true = (cP_1 @ d @ X1)) & ((cP_5 @ b @ b) = $true) & ((cP_6 @ a @ a) = $true) & ! [X2] : ($true = (cP_5 @ d @ X2)) & ! [X19,X18,X15,X16,X17,X14] : (($true != (cP_4 @ (f @ X14) @ X19)) | ($true != (cP_4 @ (f @ X15) @ X16)) | ((cP_4 @ (f @ X17) @ X18) != $true) | ($true != (cQ_4 @ X14 @ X15 @ X17)) | ($true = (cQ_5 @ X19 @ X16 @ X18))) & ! [X9,X10] : (($true = (cP_4 @ (f @ X10) @ X9)) | ($true != (cP_4 @ X10 @ X9))) & ! [X32,X31] : (($true = (cP_3 @ (f @ X31) @ X32)) | ($true != (cP_3 @ X31 @ X32))) & ! [X11] : ($true = (cP_3 @ d @ X11)) & ((cP_2 @ b @ b) = $true) & ((cP_1 @ c @ c) = $true) & ((cP_3 @ b @ b) = $true) & ! [X28] : ($true = (cP_2 @ d @ X28)) & ! [X0] : ((cP_6 @ d @ X0) = $true) & ! [X51,X53,X52,X55,X56,X54] : (($true != (cP_2 @ (f @ X53) @ X54)) | ($true != (cP_2 @ (f @ X51) @ X55)) | ($true = (cQ_3 @ X54 @ X55 @ X52)) | ($true != (cP_2 @ (f @ X56) @ X52)) | ($true != (cQ_2 @ X53 @ X51 @ X56)))), 0.22/0.48 inference(flattening,[],[f5])). 0.22/0.48 thf(f5,plain,( 0.22/0.48 ~~(((cP_5 @ b @ b) = $true) & ((cP_4 @ c @ c) = $true) & ((cP_3 @ b @ b) = $true) & ((cP_5 @ c @ c) = $true) & ((cP_6 @ a @ a) = $true) & ! [X0] : ((cP_6 @ d @ X0) = $true) & ! [X1] : ($true = (cP_1 @ d @ X1)) & ((cP_3 @ a @ a) = $true) & ! [X2] : ($true = (cP_5 @ d @ X2)) & ! [X3,X4,X5,X6,X7,X8] : (~($true = (cP_5 @ (f @ X5) @ X6)) | ($true = (cQ_6 @ X3 @ X6 @ X7)) | ~($true = (cQ_5 @ X4 @ X5 @ X8)) | ~($true = (cP_5 @ (f @ X8) @ X7)) | ~($true = (cP_5 @ (f @ X4) @ X3))) & ! [X9,X10] : (~($true = (cP_4 @ X10 @ X9)) | ($true = (cP_4 @ (f @ X10) @ X9))) & ((cP_3 @ c @ c) = $true) & ((cP_1 @ b @ b) = $true) & ! [X11] : ($true = (cP_3 @ d @ X11)) & ! [X12,X13] : (($true = (cP_1 @ (f @ X12) @ X13)) | ~($true = (cP_1 @ X12 @ X13))) & ! [X14,X15,X16,X17,X18,X19] : (($true = (cQ_5 @ X19 @ X16 @ X18)) | ~($true = (cP_4 @ (f @ X14) @ X19)) | ~($true = (cQ_4 @ X14 @ X15 @ X17)) | ~((cP_4 @ (f @ X17) @ X18) = $true) | ~($true = (cP_4 @ (f @ X15) @ X16))) & ! [X20,X21,X22,X23,X24,X25] : (~($true = (cP_6 @ (f @ X25) @ X22)) | ~($true = (cP_6 @ (f @ X21) @ X24)) | ($true = (cQ_7 @ X24 @ X22 @ X23)) | ~($true = (cP_6 @ (f @ X20) @ X23)) | ~($true = (cQ_6 @ X21 @ X25 @ X20))) & ! [X26,X27] : (($true = (cP_5 @ (f @ X26) @ X27)) | ~($true = (cP_5 @ X26 @ X27))) & ((cQ_1 @ a @ b @ c) = $true) & ((cP_2 @ a @ a) = $true) & ((cP_2 @ c @ c) = $true) & ((cP_1 @ c @ c) = $true) & ! [X28] : ($true = (cP_2 @ d @ X28)) & ! [X29,X30] : (~($true = (cP_6 @ X30 @ X29)) | ($true = (cP_6 @ (f @ X30) @ X29))) & ((cP_6 @ c @ c) = $true) & ! [X31,X32] : (($true = (cP_3 @ (f @ X31) @ X32)) | ~($true = (cP_3 @ X31 @ X32))) & ((cP_6 @ b @ b) = $true) & ((cP_1 @ a @ a) = $true) & ! [X33,X34,X35] : ~($true = (cQ_7 @ X34 @ X35 @ X33)) & ! [X36,X37,X38,X39,X40,X41] : (~($true = (cQ_1 @ X37 @ X38 @ X40)) | ~($true = (cP_1 @ (f @ X40) @ X36)) | ~($true = (cP_1 @ (f @ X37) @ X41)) | ($true = (cQ_2 @ X41 @ X39 @ X36)) | ~($true = (cP_1 @ (f @ X38) @ X39))) & ((cP_2 @ b @ b) = $true) & ! [X42] : ($true = (cP_4 @ d @ X42)) & ((cP_5 @ a @ a) = $true) & ! [X43,X44,X45,X46,X47,X48] : (~($true = (cP_3 @ (f @ X48) @ X44)) | ($true = (cQ_4 @ X44 @ X47 @ X45)) | ~($true = (cP_3 @ (f @ X46) @ X47)) | ~($true = (cP_3 @ (f @ X43) @ X45)) | ~($true = (cQ_3 @ X48 @ X46 @ X43))) & ! [X49,X50] : (~($true = (cP_2 @ X50 @ X49)) | ($true = (cP_2 @ (f @ X50) @ X49))) & ((cP_4 @ b @ b) = $true) & ! [X51,X52,X53,X54,X55,X56] : (~($true = (cP_2 @ (f @ X53) @ X54)) | ~($true = (cP_2 @ (f @ X56) @ X52)) | ~($true = (cP_2 @ (f @ X51) @ X55)) | ($true = (cQ_3 @ X54 @ X55 @ X52)) | ~($true = (cQ_2 @ X53 @ X51 @ X56))) & ((cP_4 @ a @ a) = $true))), 0.22/0.48 inference(fool_elimination,[],[f4])). 0.22/0.48 thf(f4,plain,( 0.22/0.48 ~~((cP_5 @ b @ b) & (cP_4 @ c @ c) & (cP_3 @ b @ b) & (cP_5 @ c @ c) & (cP_6 @ a @ a) & ! [X0] : (cP_6 @ d @ X0) & ! [X1] : (cP_1 @ d @ X1) & (cP_3 @ a @ a) & ! [X2] : (cP_5 @ d @ X2) & ! [X3,X4,X5,X6,X7,X8] : (~(cP_5 @ (f @ X5) @ X6) | (cQ_6 @ X3 @ X6 @ X7) | ~(cQ_5 @ X4 @ X5 @ X8) | ~(cP_5 @ (f @ X8) @ X7) | ~(cP_5 @ (f @ X4) @ X3)) & ! [X9,X10] : (~(cP_4 @ X10 @ X9) | (cP_4 @ (f @ X10) @ X9)) & (cP_3 @ c @ c) & (cP_1 @ b @ b) & ! [X11] : (cP_3 @ d @ X11) & ! [X12,X13] : ((cP_1 @ (f @ X12) @ X13) | ~(cP_1 @ X12 @ X13)) & ! [X14,X15,X16,X17,X18,X19] : ((cQ_5 @ X19 @ X16 @ X18) | ~(cP_4 @ (f @ X14) @ X19) | ~(cQ_4 @ X14 @ X15 @ X17) | ~(cP_4 @ (f @ X17) @ X18) | ~(cP_4 @ (f @ X15) @ X16)) & ! [X20,X21,X22,X23,X24,X25] : (~(cP_6 @ (f @ X25) @ X22) | ~(cP_6 @ (f @ X21) @ X24) | (cQ_7 @ X24 @ X22 @ X23) | ~(cP_6 @ (f @ X20) @ X23) | ~(cQ_6 @ X21 @ X25 @ X20)) & ! [X26,X27] : ((cP_5 @ (f @ X26) @ X27) | ~(cP_5 @ X26 @ X27)) & (cQ_1 @ a @ b @ c) & (cP_2 @ a @ a) & (cP_2 @ c @ c) & (cP_1 @ c @ c) & ! [X28] : (cP_2 @ d @ X28) & ! [X29,X30] : (~(cP_6 @ X30 @ X29) | (cP_6 @ (f @ X30) @ X29)) & (cP_6 @ c @ c) & ! [X31,X32] : ((cP_3 @ (f @ X31) @ X32) | ~(cP_3 @ X31 @ X32)) & (cP_6 @ b @ b) & (cP_1 @ a @ a) & ! [X33,X34,X35] : ~(cQ_7 @ X34 @ X35 @ X33) & ! [X36,X37,X38,X39,X40,X41] : (~(cQ_1 @ X37 @ X38 @ X40) | ~(cP_1 @ (f @ X40) @ X36) | ~(cP_1 @ (f @ X37) @ X41) | (cQ_2 @ X41 @ X39 @ X36) | ~(cP_1 @ (f @ X38) @ X39)) & (cP_2 @ b @ b) & ! [X42] : (cP_4 @ d @ X42) & (cP_5 @ a @ a) & ! [X43,X44,X45,X46,X47,X48] : (~(cP_3 @ (f @ X48) @ X44) | (cQ_4 @ X44 @ X47 @ X45) | ~(cP_3 @ (f @ X46) @ X47) | ~(cP_3 @ (f @ X43) @ X45) | ~(cQ_3 @ X48 @ X46 @ X43)) & ! [X49,X50] : (~(cP_2 @ X50 @ X49) | (cP_2 @ (f @ X50) @ X49)) & (cP_4 @ b @ b) & ! [X51,X52,X53,X54,X55,X56] : (~(cP_2 @ (f @ X53) @ X54) | ~(cP_2 @ (f @ X56) @ X52) | ~(cP_2 @ (f @ X51) @ X55) | (cQ_3 @ X54 @ X55 @ X52) | ~(cQ_2 @ X53 @ X51 @ X56)) & (cP_4 @ a @ a))), 0.22/0.48 inference(rectify,[],[f2])). 0.22/0.48 thf(f2,negated_conjecture,( 0.22/0.48 ~~((cP_5 @ b @ b) & (cP_4 @ c @ c) & (cP_3 @ b @ b) & (cP_5 @ c @ c) & (cP_6 @ a @ a) & ! [X0] : (cP_6 @ d @ X0) & ! [X0] : (cP_1 @ d @ X0) & (cP_3 @ a @ a) & ! [X0] : (cP_5 @ d @ X0) & ! [X3,X0,X1,X4,X5,X2] : (~(cP_5 @ (f @ X1) @ X4) | (cQ_6 @ X3 @ X4 @ X5) | ~(cQ_5 @ X0 @ X1 @ X2) | ~(cP_5 @ (f @ X2) @ X5) | ~(cP_5 @ (f @ X0) @ X3)) & ! [X1,X0] : (~(cP_4 @ X0 @ X1) | (cP_4 @ (f @ X0) @ X1)) & (cP_3 @ c @ c) & (cP_1 @ b @ b) & ! [X0] : (cP_3 @ d @ X0) & ! [X0,X1] : ((cP_1 @ (f @ X0) @ X1) | ~(cP_1 @ X0 @ X1)) & ! [X0,X1,X4,X2,X5,X3] : ((cQ_5 @ X3 @ X4 @ X5) | ~(cP_4 @ (f @ X0) @ X3) | ~(cQ_4 @ X0 @ X1 @ X2) | ~(cP_4 @ (f @ X2) @ X5) | ~(cP_4 @ (f @ X1) @ X4)) & ! [X2,X0,X4,X5,X3,X1] : (~(cP_6 @ (f @ X1) @ X4) | ~(cP_6 @ (f @ X0) @ X3) | (cQ_7 @ X3 @ X4 @ X5) | ~(cP_6 @ (f @ X2) @ X5) | ~(cQ_6 @ X0 @ X1 @ X2)) & ! [X0,X1] : ((cP_5 @ (f @ X0) @ X1) | ~(cP_5 @ X0 @ X1)) & (cQ_1 @ a @ b @ c) & (cP_2 @ a @ a) & (cP_2 @ c @ c) & (cP_1 @ c @ c) & ! [X0] : (cP_2 @ d @ X0) & ! [X1,X0] : (~(cP_6 @ X0 @ X1) | (cP_6 @ (f @ X0) @ X1)) & (cP_6 @ c @ c) & ! [X0,X1] : ((cP_3 @ (f @ X0) @ X1) | ~(cP_3 @ X0 @ X1)) & (cP_6 @ b @ b) & (cP_1 @ a @ a) & ! [X2,X0,X1] : ~(cQ_7 @ X0 @ X1 @ X2) & ! [X5,X0,X1,X4,X2,X3] : (~(cQ_1 @ X0 @ X1 @ X2) | ~(cP_1 @ (f @ X2) @ X5) | ~(cP_1 @ (f @ X0) @ X3) | (cQ_2 @ X3 @ X4 @ X5) | ~(cP_1 @ (f @ X1) @ X4)) & (cP_2 @ b @ b) & ! [X0] : (cP_4 @ d @ X0) & (cP_5 @ a @ a) & ! [X2,X3,X5,X1,X4,X0] : (~(cP_3 @ (f @ X0) @ X3) | (cQ_4 @ X3 @ X4 @ X5) | ~(cP_3 @ (f @ X1) @ X4) | ~(cP_3 @ (f @ X2) @ X5) | ~(cQ_3 @ X0 @ X1 @ X2)) & ! [X1,X0] : (~(cP_2 @ X0 @ X1) | (cP_2 @ (f @ X0) @ X1)) & (cP_4 @ b @ b) & ! [X1,X5,X0,X3,X4,X2] : (~(cP_2 @ (f @ X0) @ X3) | ~(cP_2 @ (f @ X2) @ X5) | ~(cP_2 @ (f @ X1) @ X4) | (cQ_3 @ X3 @ X4 @ X5) | ~(cQ_2 @ X0 @ X1 @ X2)) & (cP_4 @ a @ a))), 0.22/0.48 inference(negated_conjecture,[],[f1])). 0.22/0.48 thf(f1,conjecture,( 0.22/0.48 ~((cP_5 @ b @ b) & (cP_4 @ c @ c) & (cP_3 @ b @ b) & (cP_5 @ c @ c) & (cP_6 @ a @ a) & ! [X0] : (cP_6 @ d @ X0) & ! [X0] : (cP_1 @ d @ X0) & (cP_3 @ a @ a) & ! [X0] : (cP_5 @ d @ X0) & ! [X3,X0,X1,X4,X5,X2] : (~(cP_5 @ (f @ X1) @ X4) | (cQ_6 @ X3 @ X4 @ X5) | ~(cQ_5 @ X0 @ X1 @ X2) | ~(cP_5 @ (f @ X2) @ X5) | ~(cP_5 @ (f @ X0) @ X3)) & ! [X1,X0] : (~(cP_4 @ X0 @ X1) | (cP_4 @ (f @ X0) @ X1)) & (cP_3 @ c @ c) & (cP_1 @ b @ b) & ! [X0] : (cP_3 @ d @ X0) & ! [X0,X1] : ((cP_1 @ (f @ X0) @ X1) | ~(cP_1 @ X0 @ X1)) & ! [X0,X1,X4,X2,X5,X3] : ((cQ_5 @ X3 @ X4 @ X5) | ~(cP_4 @ (f @ X0) @ X3) | ~(cQ_4 @ X0 @ X1 @ X2) | ~(cP_4 @ (f @ X2) @ X5) | ~(cP_4 @ (f @ X1) @ X4)) & ! [X2,X0,X4,X5,X3,X1] : (~(cP_6 @ (f @ X1) @ X4) | ~(cP_6 @ (f @ X0) @ X3) | (cQ_7 @ X3 @ X4 @ X5) | ~(cP_6 @ (f @ X2) @ X5) | ~(cQ_6 @ X0 @ X1 @ X2)) & ! [X0,X1] : ((cP_5 @ (f @ X0) @ X1) | ~(cP_5 @ X0 @ X1)) & (cQ_1 @ a @ b @ c) & (cP_2 @ a @ a) & (cP_2 @ c @ c) & (cP_1 @ c @ c) & ! [X0] : (cP_2 @ d @ X0) & ! [X1,X0] : (~(cP_6 @ X0 @ X1) | (cP_6 @ (f @ X0) @ X1)) & (cP_6 @ c @ c) & ! [X0,X1] : ((cP_3 @ (f @ X0) @ X1) | ~(cP_3 @ X0 @ X1)) & (cP_6 @ b @ b) & (cP_1 @ a @ a) & ! [X2,X0,X1] : ~(cQ_7 @ X0 @ X1 @ X2) & ! [X5,X0,X1,X4,X2,X3] : (~(cQ_1 @ X0 @ X1 @ X2) | ~(cP_1 @ (f @ X2) @ X5) | ~(cP_1 @ (f @ X0) @ X3) | (cQ_2 @ X3 @ X4 @ X5) | ~(cP_1 @ (f @ X1) @ X4)) & (cP_2 @ b @ b) & ! [X0] : (cP_4 @ d @ X0) & (cP_5 @ a @ a) & ! [X2,X3,X5,X1,X4,X0] : (~(cP_3 @ (f @ X0) @ X3) | (cQ_4 @ X3 @ X4 @ X5) | ~(cP_3 @ (f @ X1) @ X4) | ~(cP_3 @ (f @ X2) @ X5) | ~(cQ_3 @ X0 @ X1 @ X2)) & ! [X1,X0] : (~(cP_2 @ X0 @ X1) | (cP_2 @ (f @ X0) @ X1)) & (cP_4 @ b @ b) & ! [X1,X5,X0,X3,X4,X2] : (~(cP_2 @ (f @ X0) @ X3) | ~(cP_2 @ (f @ X2) @ X5) | ~(cP_2 @ (f @ X1) @ X4) | (cQ_3 @ X3 @ X4 @ X5) | ~(cQ_2 @ X0 @ X1 @ X2)) & (cP_4 @ a @ a))), 0.22/0.48 file('/export/starexec/sandbox/tmp/tmp.4CYpXX1K4l/Vampire---4.8_20595',cTHM409_6)). 0.22/0.48 thf(f140,plain,( 0.22/0.48 ( ! [X0 : $i] : (($true != (cP_6 @ b @ X0))) ) | ~spl0_1), 0.22/0.48 inference(trivial_inequality_removal,[],[f139])). 0.22/0.48 thf(f139,plain,( 0.22/0.48 ( ! [X0 : $i] : (($true != $true) | ($true != (cP_6 @ b @ X0))) ) | ~spl0_1), 0.22/0.48 inference(superposition,[],[f138,f20])). 0.22/0.48 thf(f20,plain,( 0.22/0.48 ((cP_5 @ b @ b) = $true)), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f138,plain,( 0.22/0.48 ( ! [X0 : $i,X1 : $i] : (($true != (cP_5 @ b @ X0)) | ((cP_6 @ X0 @ X1) != $true)) ) | ~spl0_1), 0.22/0.48 inference(trivial_inequality_removal,[],[f137])). 0.22/0.48 thf(f137,plain,( 0.22/0.48 ( ! [X0 : $i,X1 : $i] : (($true != (cP_5 @ b @ X0)) | ((cP_6 @ X0 @ X1) != $true) | ($true != $true)) ) | ~spl0_1), 0.22/0.48 inference(superposition,[],[f136,f24])). 0.22/0.48 thf(f24,plain,( 0.22/0.48 ((cP_4 @ b @ b) = $true)), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f136,plain,( 0.22/0.48 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_4 @ b @ X2)) | ((cP_6 @ X0 @ X1) != $true) | ($true != (cP_5 @ X2 @ X0))) ) | ~spl0_1), 0.22/0.48 inference(trivial_inequality_removal,[],[f135])). 0.22/0.48 thf(f135,plain,( 0.22/0.48 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_5 @ X2 @ X0)) | ((cP_6 @ X0 @ X1) != $true) | ($true != $true) | ($true != (cP_4 @ b @ X2))) ) | ~spl0_1), 0.22/0.48 inference(superposition,[],[f134,f11])). 0.22/0.48 thf(f11,plain,( 0.22/0.48 ((cP_3 @ b @ b) = $true)), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f134,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cP_3 @ b @ X0)) | ($true != (cP_6 @ X2 @ X3)) | ($true != (cP_5 @ X1 @ X2)) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_1), 0.22/0.48 inference(trivial_inequality_removal,[],[f133])). 0.22/0.48 thf(f133,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != $true) | ($true != (cP_5 @ X1 @ X2)) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_6 @ X2 @ X3)) | ($true != (cP_3 @ b @ X0))) ) | ~spl0_1), 0.22/0.48 inference(superposition,[],[f132,f13])). 0.22/0.48 thf(f13,plain,( 0.22/0.48 ((cP_2 @ b @ b) = $true)), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f132,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_2 @ b @ X4)) | ($true != (cP_4 @ X2 @ X0)) | ($true != (cP_6 @ X1 @ X3)) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_3 @ X4 @ X2))) ) | ~spl0_1), 0.22/0.48 inference(trivial_inequality_removal,[],[f131])). 0.22/0.48 thf(f131,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_5 @ X0 @ X1) != $true) | ($true != (cP_2 @ b @ X4)) | ($true != $true) | ($true != (cP_4 @ X2 @ X0)) | ($true != (cP_3 @ X4 @ X2)) | ($true != (cP_6 @ X1 @ X3))) ) | ~spl0_1), 0.22/0.48 inference(superposition,[],[f130,f33])). 0.22/0.48 thf(f33,plain,( 0.22/0.48 ((cP_1 @ b @ b) = $true)), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f130,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_1 @ b @ X5)) | ($true != (cP_5 @ X4 @ X0)) | ($true != (cP_4 @ X3 @ X4)) | ((cP_6 @ X0 @ X1) != $true) | ($true != (cP_3 @ X2 @ X3)) | ($true != (cP_2 @ X5 @ X2))) ) | ~spl0_1), 0.22/0.48 inference(trivial_inequality_removal,[],[f129])). 0.22/0.48 thf(f129,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_4 @ X3 @ X4)) | ($true != (cP_1 @ b @ X5)) | ($true != $true) | ((cP_6 @ X0 @ X1) != $true) | ($true != (cP_5 @ X4 @ X0)) | ($true != (cP_2 @ X5 @ X2)) | ($true != (cP_3 @ X2 @ X3))) ) | ~spl0_1), 0.22/0.48 inference(superposition,[],[f128,f35])). 0.22/0.48 thf(f35,plain,( 0.22/0.48 ( ! [X22 : $i,X23 : $i] : (($true = (cP_6 @ (f @ X23) @ X22)) | ((cP_6 @ X23 @ X22) != $true)) )), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f128,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((cP_6 @ (f @ X1) @ X4) != $true) | ($true != (cP_3 @ X3 @ X2)) | ($true != (cP_4 @ X2 @ X0)) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_1 @ b @ X5)) | ($true != (cP_2 @ X5 @ X3))) ) | ~spl0_1), 0.22/0.48 inference(trivial_inequality_removal,[],[f127])). 0.22/0.48 thf(f127,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_4 @ X2 @ X0)) | ($true != $true) | ($true != (cP_2 @ X5 @ X3)) | ($true != (cP_1 @ b @ X5)) | ((cP_6 @ (f @ X1) @ X4) != $true) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_3 @ X3 @ X2))) ) | ~spl0_1), 0.22/0.48 inference(superposition,[],[f126,f23])). 0.22/0.48 thf(f23,plain,( 0.22/0.48 ( ! [X32 : $i,X33 : $i] : (($true = (cP_5 @ (f @ X32) @ X33)) | ($true != (cP_5 @ X32 @ X33))) )), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f126,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_5 @ (f @ X1) @ X2)) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_3 @ X5 @ X0)) | ($true != (cP_6 @ (f @ X2) @ X3)) | ($true != (cP_2 @ X4 @ X5)) | ($true != (cP_1 @ b @ X4))) ) | ~spl0_1), 0.22/0.48 inference(trivial_inequality_removal,[],[f125])). 0.22/0.48 thf(f125,plain,( 0.22/0.48 ( ! 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[X0 : $i] : (($true != $true) | ($true != (cP_6 @ a @ X0))) ) | ~spl0_2), 0.22/0.48 inference(superposition,[],[f88,f25])). 0.22/0.48 thf(f25,plain,( 0.22/0.48 ((cP_5 @ a @ a) = $true)), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f88,plain,( 0.22/0.48 ( ! [X0 : $i,X1 : $i] : (($true != (cP_5 @ a @ X0)) | ((cP_6 @ X0 @ X1) != $true)) ) | ~spl0_2), 0.22/0.48 inference(trivial_inequality_removal,[],[f87])). 0.22/0.48 thf(f87,plain,( 0.22/0.48 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true != (cP_5 @ a @ X0)) | ((cP_6 @ X0 @ X1) != $true)) ) | ~spl0_2), 0.22/0.48 inference(superposition,[],[f86,f30])). 0.22/0.48 thf(f30,plain,( 0.22/0.48 ((cP_4 @ a @ a) = $true)), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f86,plain,( 0.22/0.48 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_4 @ a @ X0)) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_6 @ X1 @ X2))) ) | ~spl0_2), 0.22/0.48 inference(trivial_inequality_removal,[],[f85])). 0.22/0.48 thf(f85,plain,( 0.22/0.48 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_4 @ a @ X0)) | ($true != (cP_6 @ X1 @ X2)) | ((cP_5 @ X0 @ X1) != $true) | ($true != $true)) ) | ~spl0_2), 0.22/0.48 inference(superposition,[],[f84,f26])). 0.22/0.48 thf(f26,plain,( 0.22/0.48 ((cP_3 @ a @ a) = $true)), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f84,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cP_3 @ a @ X0)) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_6 @ X2 @ X3)) | ($true != (cP_5 @ X1 @ X2))) ) | ~spl0_2), 0.22/0.48 inference(trivial_inequality_removal,[],[f83])). 0.22/0.48 thf(f83,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cP_5 @ X1 @ X2)) | ($true != $true) | ($true != (cP_6 @ X2 @ X3)) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_3 @ a @ X0))) ) | ~spl0_2), 0.22/0.48 inference(superposition,[],[f82,f39])). 0.22/0.48 thf(f39,plain,( 0.22/0.48 ((cP_2 @ a @ a) = $true)), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f82,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_2 @ a @ X3)) | ($true != (cP_4 @ X4 @ X2)) | ($true != (cP_3 @ X3 @ X4)) | ($true != (cP_5 @ X2 @ X0)) | ((cP_6 @ X0 @ X1) != $true)) ) | ~spl0_2), 0.22/0.48 inference(trivial_inequality_removal,[],[f81])). 0.22/0.48 thf(f81,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_6 @ X0 @ X1) != $true) | ($true != $true) | ($true != (cP_5 @ X2 @ X0)) | ($true != (cP_4 @ X4 @ X2)) | ($true != (cP_2 @ a @ X3)) | ($true != (cP_3 @ X3 @ X4))) ) | ~spl0_2), 0.22/0.48 inference(superposition,[],[f80,f42])). 0.22/0.48 thf(f42,plain,( 0.22/0.48 ((cP_1 @ a @ a) = $true)), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f80,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_1 @ a @ X5)) | ($true != (cP_6 @ X1 @ X2)) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_3 @ X3 @ X4)) | ($true != (cP_4 @ X4 @ X0)) | ($true != (cP_2 @ X5 @ X3))) ) | ~spl0_2), 0.22/0.48 inference(trivial_inequality_removal,[],[f79])). 0.22/0.48 thf(f79,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((cP_5 @ X0 @ X1) != $true) | ($true != (cP_4 @ X4 @ X0)) | ($true != $true) | ($true != (cP_2 @ X5 @ X3)) | ($true != (cP_1 @ a @ X5)) | ($true != (cP_3 @ X3 @ X4)) | ($true != (cP_6 @ X1 @ X2))) ) | ~spl0_2), 0.22/0.48 inference(superposition,[],[f78,f23])). 0.22/0.48 thf(f78,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_5 @ (f @ X5) @ X0)) | ((cP_6 @ X0 @ X1) != $true) | ($true != (cP_3 @ X2 @ X3)) | ($true != (cP_2 @ X4 @ X2)) | ($true != (cP_1 @ a @ X4)) | ($true != (cP_4 @ X3 @ X5))) ) | ~spl0_2), 0.22/0.48 inference(trivial_inequality_removal,[],[f77])). 0.22/0.48 thf(f77,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((cP_6 @ X0 @ X1) != $true) | ($true != (cP_5 @ (f @ X5) @ X0)) | ($true != $true) | ($true != (cP_1 @ a @ X4)) | ($true != (cP_3 @ X2 @ X3)) | ($true != (cP_2 @ X4 @ X2)) | ($true != (cP_4 @ X3 @ X5))) ) | ~spl0_2), 0.22/0.48 inference(superposition,[],[f76,f35])). 0.22/0.48 thf(f76,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_6 @ (f @ X4) @ X5)) | ($true != (cP_3 @ X3 @ X0)) | ($true != (cP_2 @ X2 @ X3)) | ($true != (cP_1 @ a @ X2)) | ((cP_5 @ (f @ X1) @ X4) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_2), 0.22/0.48 inference(trivial_inequality_removal,[],[f75])). 0.22/0.48 thf(f75,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_3 @ X3 @ X0)) | ($true != (cP_1 @ a @ X2)) | ($true != (cP_6 @ (f @ X4) @ X5)) | ($true != $true) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_2 @ X2 @ X3)) | ((cP_5 @ (f @ X1) @ X4) != $true)) ) | ~spl0_2), 0.22/0.48 inference(superposition,[],[f74,f16])). 0.22/0.48 thf(f74,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_4 @ (f @ X4) @ X2)) | ((cP_2 @ X0 @ X1) != $true) | ($true != (cP_5 @ (f @ X2) @ X3)) | ($true != (cP_1 @ a @ X0)) | ($true != (cP_6 @ (f @ X3) @ X5)) | ($true != (cP_3 @ X1 @ X4))) ) | ~spl0_2), 0.22/0.48 inference(trivial_inequality_removal,[],[f73])). 0.22/0.48 thf(f73,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_6 @ (f @ X3) @ X5)) | ($true != (cP_3 @ X1 @ X4)) | ($true != $true) | ($true != (cP_4 @ (f @ X4) @ X2)) | ($true != (cP_1 @ a @ X0)) | ($true != (cP_5 @ (f @ X2) @ X3)) | ((cP_2 @ X0 @ X1) != $true)) ) | ~spl0_2), 0.22/0.48 inference(superposition,[],[f72,f29])). 0.22/0.48 thf(f72,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_2 @ (f @ X3) @ X0)) | ($true != (cP_1 @ a @ X3)) | ($true != (cP_5 @ (f @ X2) @ X4)) | ($true != (cP_4 @ (f @ X1) @ X2)) | ($true != (cP_6 @ (f @ X4) @ X5)) | ((cP_3 @ X0 @ X1) != $true)) ) | ~spl0_2), 0.22/0.48 inference(trivial_inequality_removal,[],[f71])). 0.22/0.48 thf(f71,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_2 @ (f @ X3) @ X0)) | ($true != (cP_6 @ (f @ X4) @ X5)) | ($true != (cP_4 @ (f @ X1) @ X2)) | ($true != $true) | ($true != (cP_5 @ (f @ X2) @ X4)) | ((cP_3 @ X0 @ X1) != $true) | ($true != (cP_1 @ a @ X3))) ) | ~spl0_2), 0.22/0.48 inference(superposition,[],[f70,f15])). 0.22/0.48 thf(f70,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_3 @ (f @ X3) @ X1)) | ($true != (cP_4 @ (f @ X1) @ X2)) | ($true != (cP_1 @ a @ X0)) | ((cP_2 @ (f @ X0) @ X3) != $true) | ($true != (cP_5 @ (f @ X2) @ X4)) | ($true != (cP_6 @ (f @ X4) @ X5))) ) | ~spl0_2), 0.22/0.48 inference(trivial_inequality_removal,[],[f69])). 0.22/0.48 thf(f69,plain,( 0.22/0.48 ( ! 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[X28 : $i,X29 : $i,X26 : $i,X27 : $i,X24 : $i,X25 : $i] : (($true = (cQ_2 @ X27 @ X24 @ X29)) | ($true != (cQ_1 @ X26 @ X25 @ X28)) | ($true != (cP_1 @ (f @ X26) @ X27)) | ($true != (cP_1 @ (f @ X28) @ X29)) | ($true != (cP_1 @ (f @ X25) @ X24))) )), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f54,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X16 : $i,X14 : $i,X4 : $i,X7 : $i,X17 : $i,X15 : $i,X5 : $i,X12 : $i,X13 : $i] : (($true != (cQ_2 @ X16 @ X17 @ X15)) | ($true != (cP_2 @ (f @ X17) @ X1)) | ($true != (cP_6 @ (f @ X4) @ X10)) | ($true != (cP_6 @ (f @ X11) @ X13)) | ($true != (cP_3 @ (f @ X1) @ X9)) | ($true != (cP_3 @ (f @ X0) @ X12)) | ($true != (cP_2 @ (f @ X16) @ X0)) | ((cP_3 @ (f @ X2) @ X5) != $true) | ($true != (cP_6 @ (f @ X8) @ X14)) | ($true != (cP_5 @ (f @ X3) @ X4)) | ($true != (cP_2 @ (f @ X15) @ X2)) | ($true != (cP_4 @ (f @ X12) @ X3)) | ($true != (cP_5 @ (f @ X7) @ X8)) | ($true != (cP_4 @ (f @ X9) @ X7)) | ($true != (cP_5 @ (f @ X6) @ X11)) | ($true != (cP_4 @ (f @ X5) @ X6))) )), 0.22/0.48 inference(trivial_inequality_removal,[],[f53])). 0.22/0.48 thf(f53,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X16 : $i,X4 : $i,X14 : $i,X17 : $i,X15 : $i,X5 : $i,X12 : $i,X13 : $i] : (($true != (cP_5 @ (f @ X6) @ X11)) | ($true != (cP_4 @ (f @ X9) @ X7)) | ($true != (cP_2 @ (f @ X15) @ X2)) | ((cP_3 @ (f @ X2) @ X5) != $true) | ($true != (cP_4 @ (f @ X5) @ X6)) | ($true != (cP_2 @ (f @ X16) @ X0)) | ($true != (cP_6 @ (f @ X4) @ X10)) | ($true != (cP_2 @ (f @ X17) @ X1)) | ($true != (cQ_2 @ X16 @ X17 @ X15)) | ($true != (cP_6 @ (f @ X8) @ X14)) | ($true != (cP_5 @ (f @ X7) @ X8)) | ($true != $true) | ($true != (cP_3 @ (f @ X0) @ X12)) | ($true != (cP_6 @ (f @ X11) @ X13)) | ($true != (cP_4 @ (f @ X12) @ X3)) | ($true != (cP_5 @ (f @ X3) @ X4)) | ($true != (cP_3 @ (f @ X1) @ X9))) )), 0.22/0.48 inference(superposition,[],[f52,f8])). 0.22/0.48 thf(f8,plain,( 0.22/0.48 ( ! [X51 : $i,X56 : $i,X54 : $i,X55 : $i,X52 : $i,X53 : $i] : (($true = (cQ_3 @ X56 @ X54 @ X53)) | ($true != (cP_2 @ (f @ X55) @ X53)) | ($true != (cQ_2 @ X52 @ X51 @ X55)) | ($true != (cP_2 @ (f @ X52) @ X56)) | ($true != (cP_2 @ (f @ X51) @ X54))) )), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f52,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X14 : $i,X4 : $i,X5 : $i,X12 : $i,X13 : $i] : (($true != (cQ_3 @ X12 @ X13 @ X14)) | ($true != (cP_5 @ (f @ X11) @ X9)) | ($true != (cP_4 @ (f @ X2) @ X3)) | ($true != (cP_5 @ (f @ X5) @ X6)) | ($true != (cP_4 @ (f @ X1) @ X5)) | ($true != (cP_6 @ (f @ X9) @ X10)) | ($true != (cP_3 @ (f @ X14) @ X2)) | ($true != (cP_5 @ (f @ X3) @ X4)) | ($true != (cP_3 @ (f @ X12) @ X0)) | ($true != (cP_3 @ (f @ X13) @ X1)) | ($true != (cP_6 @ (f @ X4) @ X7)) | ($true != (cP_6 @ (f @ X6) @ X8)) | ($true != (cP_4 @ (f @ X0) @ X11))) )), 0.22/0.48 inference(trivial_inequality_removal,[],[f51])). 0.22/0.48 thf(f51,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X14 : $i,X4 : $i,X5 : $i,X12 : $i,X13 : $i] : (($true != (cP_6 @ (f @ X4) @ X7)) | ($true != (cQ_3 @ X12 @ X13 @ X14)) | ($true != (cP_6 @ (f @ X6) @ X8)) | ($true != (cP_3 @ (f @ X12) @ X0)) | ($true != (cP_4 @ (f @ X0) @ X11)) | ($true != (cP_5 @ (f @ X11) @ X9)) | ($true != (cP_5 @ (f @ X3) @ X4)) | ($true != (cP_4 @ (f @ X2) @ X3)) | ($true != $true) | ($true != (cP_6 @ (f @ X9) @ X10)) | ($true != (cP_3 @ (f @ X14) @ X2)) | ($true != (cP_4 @ (f @ X1) @ X5)) | ($true != (cP_5 @ (f @ X5) @ X6)) | ($true != (cP_3 @ (f @ X13) @ X1))) )), 0.22/0.48 inference(superposition,[],[f50,f43])). 0.22/0.48 thf(f43,plain,( 0.22/0.48 ( ! [X3 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true = (cQ_4 @ X7 @ X8 @ X3)) | ($true != (cP_3 @ (f @ X6) @ X7)) | ($true != (cP_3 @ (f @ X5) @ X8)) | ($true != (cP_3 @ (f @ X4) @ X3)) | ($true != (cQ_3 @ X6 @ X5 @ X4))) )), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f50,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true != (cQ_4 @ X9 @ X10 @ X11)) | ($true != (cP_5 @ (f @ X2) @ X7)) | ($true != (cP_5 @ (f @ X1) @ X5)) | ($true != (cP_6 @ (f @ X7) @ X8)) | ($true != (cP_6 @ (f @ X5) @ X6)) | ($true != (cP_4 @ (f @ X11) @ X2)) | ($true != (cP_6 @ (f @ X3) @ X4)) | ((cP_5 @ (f @ X0) @ X3) != $true) | ($true != (cP_4 @ (f @ X9) @ X0)) | ($true != (cP_4 @ (f @ X10) @ X1))) )), 0.22/0.48 inference(trivial_inequality_removal,[],[f49])). 0.22/0.48 thf(f49,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true != (cP_4 @ (f @ X10) @ X1)) | ($true != (cP_5 @ (f @ X2) @ X7)) | ($true != $true) | ($true != (cP_5 @ (f @ X1) @ X5)) | ($true != (cQ_4 @ X9 @ X10 @ X11)) | ($true != (cP_6 @ (f @ X5) @ X6)) | ($true != (cP_6 @ (f @ X3) @ X4)) | ($true != (cP_4 @ (f @ X11) @ X2)) | ($true != (cP_6 @ (f @ X7) @ X8)) | ($true != (cP_4 @ (f @ X9) @ X0)) | ((cP_5 @ (f @ X0) @ X3) != $true)) )), 0.22/0.48 inference(superposition,[],[f48,f17])). 0.22/0.48 thf(f17,plain,( 0.22/0.48 ( ! [X40 : $i,X38 : $i,X41 : $i,X39 : $i,X42 : $i,X43 : $i] : (($true = (cQ_5 @ X38 @ X41 @ X39)) | ($true != (cQ_4 @ X43 @ X40 @ X42)) | ($true != (cP_4 @ (f @ X43) @ X38)) | ($true != (cP_4 @ (f @ X40) @ X41)) | ($true != (cP_4 @ (f @ X42) @ X39))) )), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f48,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true != (cQ_5 @ X6 @ X7 @ X8)) | ($true != (cP_5 @ (f @ X6) @ X0)) | ($true != (cP_6 @ (f @ X0) @ X4)) | ($true != (cP_6 @ (f @ X1) @ X3)) | ($true != (cP_5 @ (f @ X7) @ X1)) | ((cP_6 @ (f @ X2) @ X5) != $true) | ($true != (cP_5 @ (f @ X8) @ X2))) )), 0.22/0.48 inference(trivial_inequality_removal,[],[f47])). 0.22/0.48 thf(f47,plain,( 0.22/0.48 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true != (cQ_5 @ X6 @ X7 @ X8)) | ($true != (cP_6 @ (f @ X1) @ X3)) | ($true != $true) | ($true != (cP_6 @ (f @ X0) @ X4)) | ($true != (cP_5 @ (f @ X6) @ X0)) | ((cP_6 @ (f @ X2) @ X5) != $true) | ($true != (cP_5 @ (f @ X7) @ X1)) | ($true != (cP_5 @ (f @ X8) @ X2))) )), 0.22/0.48 inference(superposition,[],[f46,f37])). 0.22/0.48 thf(f37,plain,( 0.22/0.48 ( ! [X21 : $i,X18 : $i,X19 : $i,X16 : $i,X17 : $i,X20 : $i] : (($true = (cQ_6 @ X20 @ X16 @ X19)) | ($true != (cQ_5 @ X18 @ X17 @ X21)) | ($true != (cP_5 @ (f @ X17) @ X16)) | ($true != (cP_5 @ (f @ X18) @ X20)) | ($true != (cP_5 @ (f @ X21) @ X19))) )), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f46,plain,( 0.22/0.48 ( ! [X10 : $i,X11 : $i,X9 : $i,X14 : $i,X12 : $i,X13 : $i] : (($true != (cQ_6 @ X11 @ X10 @ X12)) | ($true != (cP_6 @ (f @ X10) @ X13)) | ($true != (cP_6 @ (f @ X11) @ X9)) | ($true != (cP_6 @ (f @ X12) @ X14))) )), 0.22/0.48 inference(subsumption_resolution,[],[f41,f45])). 0.22/0.48 thf(f45,plain,( 0.22/0.48 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cQ_7 @ X0 @ X1 @ X2) != $true)) )), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 thf(f41,plain,( 0.22/0.48 ( ! [X10 : $i,X11 : $i,X9 : $i,X14 : $i,X12 : $i,X13 : $i] : (($true != (cP_6 @ (f @ X10) @ X13)) | ($true != (cP_6 @ (f @ X12) @ X14)) | ($true != (cP_6 @ (f @ X11) @ X9)) | ($true != (cQ_6 @ X11 @ X10 @ X12)) | ($true = (cQ_7 @ X9 @ X13 @ X14))) )), 0.22/0.48 inference(cnf_transformation,[],[f7])). 0.22/0.48 % SZS output end Proof for Vampire---4 0.22/0.48 % (20706)------------------------------ 0.22/0.48 % (20706)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.48 % (20706)Termination reason: Refutation 0.22/0.48 0.22/0.48 % (20706)Memory used [KB]: 5884 0.22/0.48 % (20706)Time elapsed: 0.046 s 0.22/0.48 % (20706)Instructions burned: 58 (million) 0.22/0.48 % (20706)------------------------------ 0.22/0.48 % (20706)------------------------------ 0.22/0.48 % (20702)Success in time 0.056 s 0.22/0.48 % Vampire---4.8 exiting 0.22/0.48 EOF