0.12/0.24 % Problem : Vampire---4.8_22931 : TPTP v0.0.0. Released v0.0.0. 0.13/0.25 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.47 % Computer : n005.cluster.edu 0.14/0.47 % Model : x86_64 x86_64 0.14/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.47 % Memory : 8042.1875MB 0.14/0.47 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.47 % CPULimit : 1440 0.14/0.47 % WCLimit : 180 0.14/0.47 % DateTime : Mon Jul 3 12:44:15 EDT 2023 0.14/0.47 % CPUTime : 0.14/0.47 This is a THF_ problem 0.14/0.47 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.1ROcdN8LGy/Vampire---4.8_22931 -m 12000 -t 180 0.22/0.49 % (23165)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.22/0.49 % (23167)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) 0.22/0.49 % (23168)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) 0.22/0.49 % (23169)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.22/0.49 % (23170)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) 0.22/0.49 % (23171)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) 0.22/0.49 % (23166)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.22/0.49 % (23172)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) 0.22/0.49 % (23171)Instruction limit reached! 0.22/0.49 % (23171)------------------------------ 0.22/0.49 % (23171)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.49 % (23171)Termination reason: Unknown 0.22/0.49 % (23171)Termination phase: Property scanning 0.22/0.49 0.22/0.49 % (23171)Memory used [KB]: 1023 0.22/0.49 % (23171)Time elapsed: 0.005 s 0.22/0.49 % (23171)Instructions burned: 5 (million) 0.22/0.49 % (23171)------------------------------ 0.22/0.49 % (23171)------------------------------ 0.22/0.50 % (23169)Instruction limit reached! 0.22/0.50 % (23169)------------------------------ 0.22/0.50 % (23169)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.50 % (23169)Termination reason: Unknown 0.22/0.50 % (23169)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (23169)Memory used [KB]: 5756 0.22/0.50 % (23169)Time elapsed: 0.014 s 0.22/0.50 % (23169)Instructions burned: 17 (million) 0.22/0.50 % (23169)------------------------------ 0.22/0.50 % (23169)------------------------------ 0.22/0.51 % (23181)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) 0.22/0.51 % (23167)Instruction limit reached! 0.22/0.51 % (23167)------------------------------ 0.22/0.51 % (23167)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.51 % (23167)Termination reason: Unknown 0.22/0.51 % (23167)Termination phase: Saturation 0.22/0.51 0.22/0.51 % (23167)Memory used [KB]: 5756 0.22/0.51 % (23167)Time elapsed: 0.023 s 0.22/0.51 % (23167)Instructions burned: 34 (million) 0.22/0.51 % (23167)------------------------------ 0.22/0.51 % (23167)------------------------------ 0.22/0.52 % (23166)Instruction limit reached! 0.22/0.52 % (23166)------------------------------ 0.22/0.52 % (23166)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.52 % (23166)Termination reason: Unknown 0.22/0.52 % (23166)Termination phase: Saturation 0.22/0.52 0.22/0.52 % (23166)Memory used [KB]: 5756 0.22/0.52 % (23166)Time elapsed: 0.027 s 0.22/0.52 % (23166)Instructions burned: 36 (million) 0.22/0.52 % (23166)------------------------------ 0.22/0.52 % (23166)------------------------------ 0.22/0.52 % (23185)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.22/0.52 % (23172)First to succeed. 0.22/0.52 % (23185)Instruction limit reached! 0.22/0.52 % (23185)------------------------------ 0.22/0.52 % (23185)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.52 % (23185)Termination reason: Unknown 0.22/0.52 % (23185)Termination phase: Saturation 0.22/0.52 0.22/0.52 % (23185)Memory used [KB]: 5628 0.22/0.52 % (23185)Time elapsed: 0.007 s 0.22/0.52 % (23185)Instructions burned: 8 (million) 0.22/0.52 % (23185)------------------------------ 0.22/0.52 % (23185)------------------------------ 0.22/0.52 % (23181)Instruction limit reached! 0.22/0.52 % (23181)------------------------------ 0.22/0.52 % (23181)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.52 % (23181)Termination reason: Unknown 0.22/0.52 % (23181)Termination phase: Saturation 0.22/0.52 0.22/0.52 % (23181)Memory used [KB]: 5756 0.22/0.52 % (23181)Time elapsed: 0.017 s 0.22/0.52 % (23181)Instructions burned: 22 (million) 0.22/0.52 % (23181)------------------------------ 0.22/0.52 % (23181)------------------------------ 0.22/0.53 % (23191)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) 0.22/0.53 % (23172)Refutation found. Thanks to Tanya! 0.22/0.53 % SZS status Theorem for Vampire---4 0.22/0.53 % SZS output start Proof for Vampire---4 0.22/0.53 thf(func_def_0, type, cQ_6: $i > $i > $i > $o). 0.22/0.53 thf(func_def_1, type, f: $i > $i). 0.22/0.53 thf(func_def_2, type, cP_5: $i > $i > $o). 0.22/0.53 thf(func_def_3, type, cQ_5: $i > $i > $i > $o). 0.22/0.53 thf(func_def_8, type, cP_4: $i > $i > $o). 0.22/0.53 thf(func_def_9, type, cQ_4: $i > $i > $i > $o). 0.22/0.53 thf(func_def_10, type, cP_3: $i > $i > $o). 0.22/0.53 thf(func_def_11, type, cQ_3: $i > $i > $i > $o). 0.22/0.53 thf(func_def_12, type, cP_2: $i > $i > $o). 0.22/0.53 thf(func_def_13, type, cQ_2: $i > $i > $i > $o). 0.22/0.53 thf(func_def_14, type, cP_1: $i > $i > $o). 0.22/0.53 thf(func_def_15, type, cQ_1: $i > $i > $i > $o). 0.22/0.53 thf(f131,plain,( 0.22/0.53 $false), 0.22/0.53 inference(avatar_sat_refutation,[],[f60,f88,f109,f130])). 0.22/0.53 thf(f130,plain,( 0.22/0.53 ~spl0_1), 0.22/0.53 inference(avatar_contradiction_clause,[],[f129])). 0.22/0.53 thf(f129,plain,( 0.22/0.53 $false | ~spl0_1), 0.22/0.53 inference(trivial_inequality_removal,[],[f128])). 0.22/0.53 thf(f128,plain,( 0.22/0.53 ($true != $true) | ~spl0_1), 0.22/0.53 inference(superposition,[],[f127,f34])). 0.22/0.53 thf(f34,plain,( 0.22/0.53 ((cP_5 @ b @ b) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f7,plain,( 0.22/0.53 ((cP_1 @ b @ b) = $true) & ((cP_4 @ c @ c) = $true) & ((cP_5 @ a @ a) = $true) & ! [X0] : ((cP_1 @ d @ X0) = $true) & ((cQ_1 @ a @ b @ c) = $true) & ((cP_5 @ b @ b) = $true) & ! [X1,X2,X3,X4,X5,X6] : (((cQ_6 @ X4 @ X6 @ X5) = $true) | ($true != (cP_5 @ (f @ X3) @ X5)) | ((cP_5 @ (f @ X1) @ X6) != $true) | ($true != (cP_5 @ (f @ X2) @ X4)) | ($true != (cQ_5 @ X2 @ X1 @ X3))) & ((cP_3 @ b @ b) = $true) & ((cP_1 @ a @ a) = $true) & ! [X7] : ((cP_4 @ d @ X7) = $true) & ((cP_5 @ c @ c) = $true) & ((cP_2 @ c @ c) = $true) & ((cP_2 @ b @ b) = $true) & ! [X8,X9,X10] : ((cQ_6 @ X9 @ X10 @ X8) != $true) & ((cP_2 @ a @ a) = $true) & ((cP_3 @ c @ c) = $true) & ((cP_4 @ a @ a) = $true) & ! [X11,X12] : (((cP_2 @ X12 @ X11) != $true) | ((cP_2 @ (f @ X12) @ X11) = $true)) & ! [X13] : ($true = (cP_3 @ d @ X13)) & ! [X14,X15,X16,X17,X18,X19] : (((cP_3 @ (f @ X15) @ X16) != $true) | ($true != (cQ_3 @ X14 @ X19 @ X15)) | ($true != (cP_3 @ (f @ X19) @ X18)) | ((cP_3 @ (f @ X14) @ X17) != $true) | ($true = (cQ_4 @ X17 @ X18 @ X16))) & ! [X20,X21] : (($true != (cP_4 @ X21 @ X20)) | ($true = (cP_4 @ (f @ X21) @ X20))) & ((cP_4 @ b @ b) = $true) & ! [X22] : ((cP_5 @ d @ X22) = $true) & ! [X23,X24,X25,X26,X27,X28] : (((cP_4 @ (f @ X26) @ X23) != $true) | ($true = (cQ_5 @ X24 @ X23 @ X27)) | ($true != (cP_4 @ (f @ X28) @ X24)) | ((cP_4 @ (f @ X25) @ X27) != $true) | ((cQ_4 @ X28 @ X26 @ X25) != $true)) & ! [X29] : ($true = (cP_2 @ d @ X29)) & ! [X30,X31,X32,X33,X34,X35] : (($true = (cQ_2 @ X35 @ X32 @ X30)) | ($true != (cP_1 @ (f @ X33) @ X32)) | ($true != (cP_1 @ (f @ X34) @ X30)) | ($true != (cP_1 @ (f @ X31) @ X35)) | ((cQ_1 @ X31 @ X33 @ X34) != $true)) & ((cP_3 @ a @ a) = $true) & ! [X36,X37] : (($true != (cP_5 @ X36 @ X37)) | ((cP_5 @ (f @ X36) @ X37) = $true)) & ((cP_1 @ c @ c) = $true) & ! [X38,X39] : (((cP_3 @ (f @ X38) @ X39) = $true) | ((cP_3 @ X38 @ X39) != $true)) & ! [X40,X41,X42,X43,X44,X45] : (($true != (cP_2 @ (f @ X42) @ X45)) | ($true != (cQ_2 @ X44 @ X40 @ X42)) | ((cP_2 @ (f @ X44) @ X41) != $true) | ($true = (cQ_3 @ X41 @ X43 @ X45)) | ((cP_2 @ (f @ X40) @ X43) != $true)) & ! [X46,X47] : (($true = (cP_1 @ (f @ X46) @ X47)) | ((cP_1 @ X46 @ X47) != $true))), 0.22/0.53 inference(rectify,[],[f6])). 0.22/0.53 thf(f6,plain,( 0.22/0.53 ((cP_1 @ b @ b) = $true) & ((cP_4 @ c @ c) = $true) & ((cP_5 @ a @ a) = $true) & ! [X47] : ((cP_1 @ d @ X47) = $true) & ((cQ_1 @ a @ b @ c) = $true) & ((cP_5 @ b @ b) = $true) & ! [X31,X33,X35,X32,X30,X34] : (($true = (cQ_6 @ X32 @ X34 @ X30)) | ((cP_5 @ (f @ X35) @ X30) != $true) | ($true != (cP_5 @ (f @ X31) @ X34)) | ((cP_5 @ (f @ X33) @ X32) != $true) | ((cQ_5 @ X33 @ X31 @ X35) != $true)) & ((cP_3 @ b @ b) = $true) & ((cP_1 @ a @ a) = $true) & ! [X2] : ((cP_4 @ d @ X2) = $true) & ((cP_5 @ c @ c) = $true) & ((cP_2 @ c @ c) = $true) & ((cP_2 @ b @ b) = $true) & ! [X4,X3,X5] : ((cQ_6 @ X3 @ X5 @ X4) != $true) & ((cP_2 @ a @ a) = $true) & ((cP_3 @ c @ c) = $true) & ((cP_4 @ a @ a) = $true) & ! [X39,X38] : (((cP_2 @ X38 @ X39) != $true) | ((cP_2 @ (f @ X38) @ X39) = $true)) & ! [X29] : ($true = (cP_3 @ d @ X29)) & ! [X24,X25,X28,X27,X26,X23] : (((cP_3 @ (f @ X25) @ X28) != $true) | ($true != (cQ_3 @ X24 @ X23 @ X25)) | ((cP_3 @ (f @ X23) @ X26) != $true) | ($true != (cP_3 @ (f @ X24) @ X27)) | ((cQ_4 @ X27 @ X26 @ X28) = $true)) & ! [X0,X1] : (((cP_4 @ X1 @ X0) != $true) | ($true = (cP_4 @ (f @ X1) @ X0))) & ((cP_4 @ b @ b) = $true) & ! [X22] : ((cP_5 @ d @ X22) = $true) & ! [X17,X19,X18,X20,X16,X21] : (((cP_4 @ (f @ X20) @ X17) != $true) | ($true = (cQ_5 @ X19 @ X17 @ X16)) | ($true != (cP_4 @ (f @ X21) @ X19)) | ($true != (cP_4 @ (f @ X18) @ X16)) | ($true != (cQ_4 @ X21 @ X20 @ X18))) & ! [X40] : ((cP_2 @ d @ X40) = $true) & ! [X45,X44,X42,X43,X46,X41] : (($true = (cQ_2 @ X41 @ X42 @ X45)) | ($true != (cP_1 @ (f @ X43) @ X42)) | ($true != (cP_1 @ (f @ X46) @ X45)) | ($true != (cP_1 @ (f @ X44) @ X41)) | ((cQ_1 @ X44 @ X43 @ X46) != $true)) & ((cP_3 @ a @ a) = $true) & ! [X6,X7] : (((cP_5 @ X6 @ X7) != $true) | ($true = (cP_5 @ (f @ X6) @ X7))) & ((cP_1 @ c @ c) = $true) & ! [X37,X36] : (($true = (cP_3 @ (f @ X37) @ X36)) | ($true != (cP_3 @ X37 @ X36))) & ! [X13,X10,X11,X12,X9,X8] : (((cP_2 @ (f @ X11) @ X8) != $true) | ((cQ_2 @ X9 @ X13 @ X11) != $true) | ((cP_2 @ (f @ X9) @ X10) != $true) | ((cQ_3 @ X10 @ X12 @ X8) = $true) | ($true != (cP_2 @ (f @ X13) @ X12))) & ! [X14,X15] : (($true = (cP_1 @ (f @ X14) @ X15)) | ((cP_1 @ X14 @ X15) != $true))), 0.22/0.53 inference(flattening,[],[f5])). 0.22/0.53 thf(f5,plain,( 0.22/0.53 ~~(((cP_1 @ b @ b) = $true) & ! [X0,X1] : (~((cP_4 @ X1 @ X0) = $true) | ($true = (cP_4 @ (f @ X1) @ X0))) & ((cP_3 @ a @ a) = $true) & ((cP_4 @ a @ a) = $true) & ! [X2] : ((cP_4 @ d @ X2) = $true) & ((cP_4 @ b @ b) = $true) & ! [X3,X4,X5] : ~((cQ_6 @ X3 @ X5 @ X4) = $true) & ! [X6,X7] : (($true = (cP_5 @ (f @ X6) @ X7)) | ~((cP_5 @ X6 @ X7) = $true)) & ((cP_1 @ a @ a) = $true) & ! [X8,X9,X10,X11,X12,X13] : (~((cQ_2 @ X9 @ X13 @ X11) = $true) | ~($true = (cP_2 @ (f @ X13) @ X12)) | ~((cP_2 @ (f @ X9) @ X10) = $true) | ((cQ_3 @ X10 @ X12 @ X8) = $true) | ~((cP_2 @ (f @ X11) @ X8) = $true)) & ((cP_1 @ c @ c) = $true) & ! [X14,X15] : (~((cP_1 @ X14 @ X15) = $true) | ($true = (cP_1 @ (f @ X14) @ X15))) & ((cP_2 @ b @ b) = $true) & ! [X16,X17,X18,X19,X20,X21] : (~($true = (cQ_4 @ X21 @ X20 @ X18)) | ($true = (cQ_5 @ X19 @ X17 @ X16)) | ~($true = (cP_4 @ (f @ X18) @ X16)) | ~((cP_4 @ (f @ X20) @ X17) = $true) | ~($true = (cP_4 @ (f @ X21) @ X19))) & ! [X22] : ((cP_5 @ d @ X22) = $true) & ((cP_5 @ a @ a) = $true) & ((cP_5 @ b @ b) = $true) & ((cP_2 @ a @ a) = $true) & ((cP_4 @ c @ c) = $true) & ((cP_2 @ c @ c) = $true) & ((cQ_1 @ a @ b @ c) = $true) & ((cP_5 @ c @ c) = $true) & ((cP_3 @ c @ c) = $true) & ! [X23,X24,X25,X26,X27,X28] : (~($true = (cP_3 @ (f @ X24) @ X27)) | ~($true = (cQ_3 @ X24 @ X23 @ X25)) | ~((cP_3 @ (f @ X25) @ X28) = $true) | ~((cP_3 @ (f @ X23) @ X26) = $true) | ((cQ_4 @ X27 @ X26 @ X28) = $true)) & ! [X29] : ($true = (cP_3 @ d @ X29)) & ! [X30,X31,X32,X33,X34,X35] : (($true = (cQ_6 @ X32 @ X34 @ X30)) | ~((cP_5 @ (f @ X35) @ X30) = $true) | ~((cQ_5 @ X33 @ X31 @ X35) = $true) | ~((cP_5 @ (f @ X33) @ X32) = $true) | ~($true = (cP_5 @ (f @ X31) @ X34))) & ! [X36,X37] : (($true = (cP_3 @ (f @ X37) @ X36)) | ~($true = (cP_3 @ X37 @ X36))) & ! [X38,X39] : (((cP_2 @ (f @ X38) @ X39) = $true) | ~((cP_2 @ X38 @ X39) = $true)) & ! [X40] : ((cP_2 @ d @ X40) = $true) & ! [X41,X42,X43,X44,X45,X46] : (~($true = (cP_1 @ (f @ X44) @ X41)) | ~((cQ_1 @ X44 @ X43 @ X46) = $true) | ~($true = (cP_1 @ (f @ X43) @ X42)) | ~($true = (cP_1 @ (f @ X46) @ X45)) | ($true = (cQ_2 @ X41 @ X42 @ X45))) & ! [X47] : ((cP_1 @ d @ X47) = $true) & ((cP_3 @ b @ b) = $true))), 0.22/0.53 inference(fool_elimination,[],[f4])). 0.22/0.53 thf(f4,plain,( 0.22/0.53 ~~((cP_1 @ b @ b) & ! [X0,X1] : (~(cP_4 @ X1 @ X0) | (cP_4 @ (f @ X1) @ X0)) & (cP_3 @ a @ a) & (cP_4 @ a @ a) & ! [X2] : (cP_4 @ d @ X2) & (cP_4 @ b @ b) & ! [X3,X4,X5] : ~(cQ_6 @ X3 @ X5 @ X4) & ! [X6,X7] : ((cP_5 @ (f @ X6) @ X7) | ~(cP_5 @ X6 @ X7)) & (cP_1 @ a @ a) & ! [X8,X9,X10,X11,X12,X13] : (~(cQ_2 @ X9 @ X13 @ X11) | ~(cP_2 @ (f @ X13) @ X12) | ~(cP_2 @ (f @ X9) @ X10) | (cQ_3 @ X10 @ X12 @ X8) | ~(cP_2 @ (f @ X11) @ X8)) & (cP_1 @ c @ c) & ! [X14,X15] : (~(cP_1 @ X14 @ X15) | (cP_1 @ (f @ X14) @ X15)) & (cP_2 @ b @ b) & ! [X16,X17,X18,X19,X20,X21] : (~(cQ_4 @ X21 @ X20 @ X18) | (cQ_5 @ X19 @ X17 @ X16) | ~(cP_4 @ (f @ X18) @ X16) | ~(cP_4 @ (f @ X20) @ X17) | ~(cP_4 @ (f @ X21) @ X19)) & ! [X22] : (cP_5 @ d @ X22) & (cP_5 @ a @ a) & (cP_5 @ b @ b) & (cP_2 @ a @ a) & (cP_4 @ c @ c) & (cP_2 @ c @ c) & (cQ_1 @ a @ b @ c) & (cP_5 @ c @ c) & (cP_3 @ c @ c) & ! [X23,X24,X25,X26,X27,X28] : (~(cP_3 @ (f @ X24) @ X27) | ~(cQ_3 @ X24 @ X23 @ X25) | ~(cP_3 @ (f @ X25) @ X28) | ~(cP_3 @ (f @ X23) @ X26) | (cQ_4 @ X27 @ X26 @ X28)) & ! [X29] : (cP_3 @ d @ X29) & ! [X30,X31,X32,X33,X34,X35] : ((cQ_6 @ X32 @ X34 @ X30) | ~(cP_5 @ (f @ X35) @ X30) | ~(cQ_5 @ X33 @ X31 @ X35) | ~(cP_5 @ (f @ X33) @ X32) | ~(cP_5 @ (f @ X31) @ X34)) & ! [X36,X37] : ((cP_3 @ (f @ X37) @ X36) | ~(cP_3 @ X37 @ X36)) & ! [X38,X39] : ((cP_2 @ (f @ X38) @ X39) | ~(cP_2 @ X38 @ X39)) & ! [X40] : (cP_2 @ d @ X40) & ! [X41,X42,X43,X44,X45,X46] : (~(cP_1 @ (f @ X44) @ X41) | ~(cQ_1 @ X44 @ X43 @ X46) | ~(cP_1 @ (f @ X43) @ X42) | ~(cP_1 @ (f @ X46) @ X45) | (cQ_2 @ X41 @ X42 @ X45)) & ! [X47] : (cP_1 @ d @ X47) & (cP_3 @ b @ b))), 0.22/0.53 inference(rectify,[],[f2])). 0.22/0.53 thf(f2,negated_conjecture,( 0.22/0.53 ~~((cP_1 @ b @ b) & ! [X1,X0] : (~(cP_4 @ X0 @ X1) | (cP_4 @ (f @ X0) @ X1)) & (cP_3 @ a @ a) & (cP_4 @ a @ a) & ! [X0] : (cP_4 @ d @ X0) & (cP_4 @ b @ b) & ! [X0,X2,X1] : ~(cQ_6 @ X0 @ X1 @ X2) & ! [X0,X1] : ((cP_5 @ (f @ X0) @ X1) | ~(cP_5 @ X0 @ X1)) & (cP_1 @ a @ a) & ! [X5,X0,X3,X2,X4,X1] : (~(cQ_2 @ X0 @ X1 @ X2) | ~(cP_2 @ (f @ X1) @ X4) | ~(cP_2 @ (f @ X0) @ X3) | (cQ_3 @ X3 @ X4 @ X5) | ~(cP_2 @ (f @ X2) @ X5)) & (cP_1 @ c @ c) & ! [X0,X1] : (~(cP_1 @ X0 @ X1) | (cP_1 @ (f @ X0) @ X1)) & (cP_2 @ b @ b) & ! [X5,X4,X2,X3,X1,X0] : (~(cQ_4 @ X0 @ X1 @ X2) | (cQ_5 @ X3 @ X4 @ X5) | ~(cP_4 @ (f @ X2) @ X5) | ~(cP_4 @ (f @ X1) @ X4) | ~(cP_4 @ (f @ X0) @ X3)) & ! [X0] : (cP_5 @ d @ X0) & (cP_5 @ a @ a) & (cP_5 @ b @ b) & (cP_2 @ a @ a) & (cP_4 @ c @ c) & (cP_2 @ c @ c) & (cQ_1 @ a @ b @ c) & (cP_5 @ c @ c) & (cP_3 @ c @ c) & ! [X1,X0,X2,X4,X3,X5] : (~(cP_3 @ (f @ X0) @ X3) | ~(cQ_3 @ X0 @ X1 @ X2) | ~(cP_3 @ (f @ X2) @ X5) | ~(cP_3 @ (f @ X1) @ X4) | (cQ_4 @ X3 @ X4 @ X5)) & ! [X0] : (cP_3 @ d @ X0) & ! [X5,X1,X3,X0,X4,X2] : ((cQ_6 @ X3 @ X4 @ X5) | ~(cP_5 @ (f @ X2) @ X5) | ~(cQ_5 @ X0 @ X1 @ X2) | ~(cP_5 @ (f @ X0) @ X3) | ~(cP_5 @ (f @ X1) @ X4)) & ! [X1,X0] : ((cP_3 @ (f @ X0) @ X1) | ~(cP_3 @ X0 @ X1)) & ! [X0,X1] : ((cP_2 @ (f @ X0) @ X1) | ~(cP_2 @ X0 @ X1)) & ! [X0] : (cP_2 @ d @ X0) & ! [X3,X4,X1,X0,X5,X2] : (~(cP_1 @ (f @ X0) @ X3) | ~(cQ_1 @ X0 @ X1 @ X2) | ~(cP_1 @ (f @ X1) @ X4) | ~(cP_1 @ (f @ X2) @ X5) | (cQ_2 @ X3 @ X4 @ X5)) & ! [X0] : (cP_1 @ d @ X0) & (cP_3 @ b @ b))), 0.22/0.53 inference(negated_conjecture,[],[f1])). 0.22/0.53 thf(f1,conjecture,( 0.22/0.53 ~((cP_1 @ b @ b) & ! [X1,X0] : (~(cP_4 @ X0 @ X1) | (cP_4 @ (f @ X0) @ X1)) & (cP_3 @ a @ a) & (cP_4 @ a @ a) & ! [X0] : (cP_4 @ d @ X0) & (cP_4 @ b @ b) & ! [X0,X2,X1] : ~(cQ_6 @ X0 @ X1 @ X2) & ! [X0,X1] : ((cP_5 @ (f @ X0) @ X1) | ~(cP_5 @ X0 @ X1)) & (cP_1 @ a @ a) & ! [X5,X0,X3,X2,X4,X1] : (~(cQ_2 @ X0 @ X1 @ X2) | ~(cP_2 @ (f @ X1) @ X4) | ~(cP_2 @ (f @ X0) @ X3) | (cQ_3 @ X3 @ X4 @ X5) | ~(cP_2 @ (f @ X2) @ X5)) & (cP_1 @ c @ c) & ! [X0,X1] : (~(cP_1 @ X0 @ X1) | (cP_1 @ (f @ X0) @ X1)) & (cP_2 @ b @ b) & ! [X5,X4,X2,X3,X1,X0] : (~(cQ_4 @ X0 @ X1 @ X2) | (cQ_5 @ X3 @ X4 @ X5) | ~(cP_4 @ (f @ X2) @ X5) | ~(cP_4 @ (f @ X1) @ X4) | ~(cP_4 @ (f @ X0) @ X3)) & ! [X0] : (cP_5 @ d @ X0) & (cP_5 @ a @ a) & (cP_5 @ b @ b) & (cP_2 @ a @ a) & (cP_4 @ c @ c) & (cP_2 @ c @ c) & (cQ_1 @ a @ b @ c) & (cP_5 @ c @ c) & (cP_3 @ c @ c) & ! [X1,X0,X2,X4,X3,X5] : (~(cP_3 @ (f @ X0) @ X3) | ~(cQ_3 @ X0 @ X1 @ X2) | ~(cP_3 @ (f @ X2) @ X5) | ~(cP_3 @ (f @ X1) @ X4) | (cQ_4 @ X3 @ X4 @ X5)) & ! [X0] : (cP_3 @ d @ X0) & ! [X5,X1,X3,X0,X4,X2] : ((cQ_6 @ X3 @ X4 @ X5) | ~(cP_5 @ (f @ X2) @ X5) | ~(cQ_5 @ X0 @ X1 @ X2) | ~(cP_5 @ (f @ X0) @ X3) | ~(cP_5 @ (f @ X1) @ X4)) & ! [X1,X0] : ((cP_3 @ (f @ X0) @ X1) | ~(cP_3 @ X0 @ X1)) & ! [X0,X1] : ((cP_2 @ (f @ X0) @ X1) | ~(cP_2 @ X0 @ X1)) & ! [X0] : (cP_2 @ d @ X0) & ! [X3,X4,X1,X0,X5,X2] : (~(cP_1 @ (f @ X0) @ X3) | ~(cQ_1 @ X0 @ X1 @ X2) | ~(cP_1 @ (f @ X1) @ X4) | ~(cP_1 @ (f @ X2) @ X5) | (cQ_2 @ X3 @ X4 @ X5)) & ! [X0] : (cP_1 @ d @ X0) & (cP_3 @ b @ b))), 0.22/0.53 file('/export/starexec/sandbox2/tmp/tmp.1ROcdN8LGy/Vampire---4.8_22931',cTHM409_5)). 0.22/0.53 thf(f127,plain,( 0.22/0.53 ( ! [X0 : $i] : (($true != (cP_5 @ b @ X0))) ) | ~spl0_1), 0.22/0.53 inference(trivial_inequality_removal,[],[f126])). 0.22/0.53 thf(f126,plain,( 0.22/0.53 ( ! [X0 : $i] : (($true != (cP_5 @ b @ X0)) | ($true != $true)) ) | ~spl0_1), 0.22/0.53 inference(superposition,[],[f125,f18])). 0.22/0.53 thf(f18,plain,( 0.22/0.53 ((cP_4 @ b @ b) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f125,plain,( 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (($true != (cP_4 @ b @ X0)) | ((cP_5 @ X0 @ X1) != $true)) ) | ~spl0_1), 0.22/0.53 inference(trivial_inequality_removal,[],[f124])). 0.22/0.53 thf(f124,plain,( 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (((cP_5 @ X0 @ X1) != $true) | ($true != (cP_4 @ b @ X0)) | ($true != $true)) ) | ~spl0_1), 0.22/0.53 inference(superposition,[],[f123,f32])). 0.22/0.53 thf(f32,plain,( 0.22/0.53 ((cP_3 @ b @ b) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f123,plain,( 0.22/0.53 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_3 @ b @ X2)) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_4 @ X2 @ X0))) ) | ~spl0_1), 0.22/0.53 inference(trivial_inequality_removal,[],[f122])). 0.22/0.53 thf(f122,plain,( 0.22/0.53 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_4 @ X2 @ X0)) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_3 @ b @ X2)) | ($true != $true)) ) | ~spl0_1), 0.22/0.53 inference(superposition,[],[f121,f27])). 0.22/0.53 thf(f27,plain,( 0.22/0.53 ((cP_2 @ b @ b) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f121,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cP_2 @ b @ X3)) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_3 @ X3 @ X2)) | ($true != (cP_4 @ X2 @ X0))) ) | ~spl0_1), 0.22/0.53 inference(trivial_inequality_removal,[],[f120])). 0.22/0.53 thf(f120,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_5 @ X0 @ X1) != $true) | ($true != (cP_3 @ X3 @ X2)) | ($true != $true) | ($true != (cP_4 @ X2 @ X0)) | ($true != (cP_2 @ b @ X3))) ) | ~spl0_1), 0.22/0.53 inference(superposition,[],[f119,f39])). 0.22/0.53 thf(f39,plain,( 0.22/0.53 ((cP_1 @ b @ b) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f119,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_1 @ b @ X2)) | ((cP_5 @ X0 @ X1) != $true) | ((cP_4 @ X4 @ X0) != $true) | ((cP_2 @ X2 @ X3) != $true) | ((cP_3 @ X3 @ X4) != $true)) ) | ~spl0_1), 0.22/0.53 inference(trivial_inequality_removal,[],[f118])). 0.22/0.53 thf(f118,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_2 @ X2 @ X3) != $true) | ((cP_3 @ X3 @ X4) != $true) | ((cP_4 @ X4 @ X0) != $true) | ((cP_5 @ X0 @ X1) != $true) | ($true != $true) | ($true != (cP_1 @ b @ X2))) ) | ~spl0_1), 0.22/0.53 inference(superposition,[],[f117,f12])). 0.22/0.53 thf(f12,plain,( 0.22/0.53 ( ! [X36 : $i,X37 : $i] : (((cP_5 @ (f @ X36) @ X37) = $true) | ($true != (cP_5 @ X36 @ X37))) )), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f117,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_5 @ (f @ X1) @ X4) != $true) | ($true != (cP_2 @ X3 @ X2)) | ((cP_3 @ X2 @ X0) != $true) | ($true != (cP_1 @ b @ X3)) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_1), 0.22/0.53 inference(trivial_inequality_removal,[],[f116])). 0.22/0.53 thf(f116,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_2 @ X3 @ X2)) | ((cP_3 @ X2 @ X0) != $true) | ($true != (cP_1 @ b @ X3)) | ((cP_5 @ (f @ X1) @ X4) != $true) | ((cP_4 @ X0 @ X1) != $true) | ($true != $true)) ) | ~spl0_1), 0.22/0.53 inference(superposition,[],[f115,f19])). 0.22/0.53 thf(f19,plain,( 0.22/0.53 ( ! [X21 : $i,X20 : $i] : (($true = (cP_4 @ (f @ X21) @ X20)) | ($true != (cP_4 @ X21 @ X20))) )), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f115,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_4 @ (f @ X1) @ X3)) | ((cP_3 @ X0 @ X1) != $true) | ($true != (cP_1 @ b @ X2)) | ((cP_2 @ X2 @ X0) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true)) ) | ~spl0_1), 0.22/0.53 inference(trivial_inequality_removal,[],[f114])). 0.22/0.53 thf(f114,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_2 @ X2 @ X0) != $true) | ($true != $true) | ($true != (cP_1 @ b @ X2)) | ((cP_3 @ X0 @ X1) != $true) | ($true != (cP_4 @ (f @ X1) @ X3))) ) | ~spl0_1), 0.22/0.53 inference(superposition,[],[f113,f10])). 0.22/0.53 thf(f10,plain,( 0.22/0.53 ( ! [X38 : $i,X39 : $i] : (((cP_3 @ (f @ X38) @ X39) = $true) | ((cP_3 @ X38 @ X39) != $true)) )), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f113,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_3 @ (f @ X3) @ X4)) | ($true != (cP_1 @ b @ X0)) | ($true != (cP_4 @ (f @ X4) @ X1)) | ($true != (cP_5 @ (f @ X1) @ X2)) | ($true != (cP_2 @ X0 @ X3))) ) | ~spl0_1), 0.22/0.53 inference(trivial_inequality_removal,[],[f112])). 0.22/0.53 thf(f112,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_2 @ X0 @ X3)) | ($true != $true) | ($true != (cP_1 @ b @ X0)) | ($true != (cP_5 @ (f @ X1) @ X2)) | ($true != (cP_4 @ (f @ X4) @ X1)) | ($true != (cP_3 @ (f @ X3) @ X4))) ) | ~spl0_1), 0.22/0.53 inference(superposition,[],[f111,f8])). 0.22/0.53 thf(f8,plain,( 0.22/0.53 ( ! [X46 : $i,X47 : $i] : (($true = (cP_1 @ (f @ X46) @ X47)) | ((cP_1 @ X46 @ X47) != $true)) )), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f111,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_1 @ (f @ b) @ X0) != $true) | ((cP_5 @ (f @ X2) @ X3) != $true) | ((cP_3 @ (f @ X1) @ X4) != $true) | ((cP_4 @ (f @ X4) @ X2) != $true) | ((cP_2 @ X0 @ X1) != $true)) ) | ~spl0_1), 0.22/0.53 inference(trivial_inequality_removal,[],[f110])). 0.22/0.53 thf(f110,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_1 @ (f @ b) @ X0) != $true) | ((cP_4 @ (f @ X4) @ X2) != $true) | ((cP_3 @ (f @ X1) @ X4) != $true) | ((cP_5 @ (f @ X2) @ X3) != $true) | ($true != $true) | ((cP_2 @ X0 @ X1) != $true)) ) | ~spl0_1), 0.22/0.53 inference(superposition,[],[f53,f22])). 0.22/0.53 thf(f22,plain,( 0.22/0.53 ( ! [X11 : $i,X12 : $i] : (((cP_2 @ (f @ X12) @ X11) = $true) | ((cP_2 @ X12 @ X11) != $true)) )), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f53,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X6 : $i,X12 : $i] : (($true != (cP_2 @ (f @ X0) @ X6)) | ((cP_1 @ (f @ b) @ X0) != $true) | ((cP_5 @ (f @ X3) @ X12) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ($true != (cP_3 @ (f @ X6) @ X2))) ) | ~spl0_1), 0.22/0.53 inference(avatar_component_clause,[],[f52])). 0.22/0.53 thf(f52,plain,( 0.22/0.53 spl0_1 <=> ! [X3,X0,X12,X6,X2] : (((cP_1 @ (f @ b) @ X0) != $true) | ($true != (cP_3 @ (f @ X6) @ X2)) | ($true != (cP_2 @ (f @ X0) @ X6)) | ((cP_5 @ (f @ X3) @ X12) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true))), 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 0.22/0.53 thf(f109,plain,( 0.22/0.53 ~spl0_3), 0.22/0.53 inference(avatar_contradiction_clause,[],[f108])). 0.22/0.53 thf(f108,plain,( 0.22/0.53 $false | ~spl0_3), 0.22/0.53 inference(trivial_inequality_removal,[],[f107])). 0.22/0.53 thf(f107,plain,( 0.22/0.53 ($true != $true) | ~spl0_3), 0.22/0.53 inference(superposition,[],[f106,f29])). 0.22/0.53 thf(f29,plain,( 0.22/0.53 ((cP_5 @ c @ c) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f106,plain,( 0.22/0.53 ( ! [X0 : $i] : (((cP_5 @ c @ X0) != $true)) ) | ~spl0_3), 0.22/0.53 inference(trivial_inequality_removal,[],[f105])). 0.22/0.53 thf(f105,plain,( 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ((cP_5 @ c @ X0) != $true)) ) | ~spl0_3), 0.22/0.53 inference(superposition,[],[f104,f38])). 0.22/0.53 thf(f38,plain,( 0.22/0.53 ((cP_4 @ c @ c) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f104,plain,( 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (((cP_4 @ c @ X0) != $true) | ((cP_5 @ X0 @ X1) != $true)) ) | ~spl0_3), 0.22/0.53 inference(trivial_inequality_removal,[],[f103])). 0.22/0.53 thf(f103,plain,( 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (((cP_5 @ X0 @ X1) != $true) | ($true != $true) | ((cP_4 @ c @ X0) != $true)) ) | ~spl0_3), 0.22/0.53 inference(superposition,[],[f102,f24])). 0.22/0.53 thf(f24,plain,( 0.22/0.53 ((cP_3 @ c @ c) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f102,plain,( 0.22/0.53 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_3 @ c @ X2)) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_4 @ X2 @ X0))) ) | ~spl0_3), 0.22/0.53 inference(trivial_inequality_removal,[],[f101])). 0.22/0.53 thf(f101,plain,( 0.22/0.53 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_4 @ X2 @ X0)) | ($true != (cP_3 @ c @ X2)) | ($true != $true) | ((cP_5 @ X0 @ X1) != $true)) ) | ~spl0_3), 0.22/0.53 inference(superposition,[],[f100,f28])). 0.22/0.53 thf(f28,plain,( 0.22/0.53 ((cP_2 @ c @ c) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f100,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cP_2 @ c @ X3)) | ($true != (cP_5 @ X1 @ X2)) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_3 @ X3 @ X0))) ) | ~spl0_3), 0.22/0.53 inference(trivial_inequality_removal,[],[f99])). 0.22/0.53 thf(f99,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cP_2 @ c @ X3)) | ($true != $true) | ($true != (cP_5 @ X1 @ X2)) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_3 @ X3 @ X0))) ) | ~spl0_3), 0.22/0.53 inference(superposition,[],[f98,f11])). 0.22/0.53 thf(f11,plain,( 0.22/0.53 ((cP_1 @ c @ c) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f98,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_1 @ c @ X4)) | ((cP_4 @ X3 @ X0) != $true) | ((cP_5 @ X0 @ X1) != $true) | ((cP_3 @ X2 @ X3) != $true) | ($true != (cP_2 @ X4 @ X2))) ) | ~spl0_3), 0.22/0.53 inference(trivial_inequality_removal,[],[f97])). 0.22/0.53 thf(f97,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_3 @ X2 @ X3) != $true) | ((cP_4 @ X3 @ X0) != $true) | ($true != (cP_2 @ X4 @ X2)) | ((cP_5 @ X0 @ X1) != $true) | ($true != $true) | ($true != (cP_1 @ c @ X4))) ) | ~spl0_3), 0.22/0.53 inference(superposition,[],[f96,f12])). 0.22/0.53 thf(f96,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_5 @ (f @ X3) @ X4) != $true) | ($true != (cP_3 @ X1 @ X2)) | ((cP_1 @ c @ X0) != $true) | ($true != (cP_4 @ X2 @ X3)) | ((cP_2 @ X0 @ X1) != $true)) ) | ~spl0_3), 0.22/0.53 inference(trivial_inequality_removal,[],[f95])). 0.22/0.53 thf(f95,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_3 @ X1 @ X2)) | ((cP_2 @ X0 @ X1) != $true) | ($true != (cP_4 @ X2 @ X3)) | ($true != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_1 @ c @ X0) != $true)) ) | ~spl0_3), 0.22/0.53 inference(superposition,[],[f94,f22])). 0.22/0.53 thf(f94,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_2 @ (f @ X4) @ X0)) | ($true != (cP_4 @ X1 @ X2)) | ($true != (cP_1 @ c @ X4)) | ((cP_3 @ X0 @ X1) != $true) | ((cP_5 @ (f @ X2) @ X3) != $true)) ) | ~spl0_3), 0.22/0.53 inference(trivial_inequality_removal,[],[f93])). 0.22/0.53 thf(f93,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_4 @ X1 @ X2)) | ($true != (cP_2 @ (f @ X4) @ X0)) | ((cP_3 @ X0 @ X1) != $true) | ($true != $true) | ($true != (cP_1 @ c @ X4)) | ((cP_5 @ (f @ X2) @ X3) != $true)) ) | ~spl0_3), 0.22/0.53 inference(superposition,[],[f92,f10])). 0.22/0.53 thf(f92,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_3 @ (f @ X3) @ X4)) | ($true != (cP_5 @ (f @ X1) @ X2)) | ((cP_1 @ c @ X0) != $true) | ((cP_2 @ (f @ X0) @ X3) != $true) | ((cP_4 @ X4 @ X1) != $true)) ) | ~spl0_3), 0.22/0.53 inference(trivial_inequality_removal,[],[f91])). 0.22/0.53 thf(f91,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != $true) | ((cP_1 @ c @ X0) != $true) | ((cP_4 @ X4 @ X1) != $true) | ($true != (cP_3 @ (f @ X3) @ X4)) | ((cP_2 @ (f @ X0) @ X3) != $true) | ($true != (cP_5 @ (f @ X1) @ X2))) ) | ~spl0_3), 0.22/0.53 inference(superposition,[],[f90,f8])). 0.22/0.53 thf(f90,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_1 @ (f @ c) @ X2)) | ((cP_5 @ (f @ X1) @ X4) != $true) | ($true != (cP_2 @ (f @ X2) @ X3)) | ((cP_3 @ (f @ X3) @ X0) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_3), 0.22/0.53 inference(trivial_inequality_removal,[],[f89])). 0.22/0.53 thf(f89,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_1 @ (f @ c) @ X2)) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_2 @ (f @ X2) @ X3)) | ((cP_5 @ (f @ X1) @ X4) != $true) | ($true != $true) | ((cP_3 @ (f @ X3) @ X0) != $true)) ) | ~spl0_3), 0.22/0.53 inference(superposition,[],[f59,f19])). 0.22/0.53 thf(f59,plain,( 0.22/0.53 ( ! [X11 : $i,X1 : $i,X14 : $i,X4 : $i,X5 : $i] : (($true != (cP_4 @ (f @ X5) @ X11)) | ((cP_1 @ (f @ c) @ X1) != $true) | ((cP_3 @ (f @ X4) @ X5) != $true) | ($true != (cP_5 @ (f @ X11) @ X14)) | ((cP_2 @ (f @ X1) @ X4) != $true)) ) | ~spl0_3), 0.22/0.53 inference(avatar_component_clause,[],[f58])). 0.22/0.53 thf(f58,plain,( 0.22/0.53 spl0_3 <=> ! [X4,X11,X14,X5,X1] : (((cP_2 @ (f @ X1) @ X4) != $true) | ($true != (cP_4 @ (f @ X5) @ X11)) | ((cP_1 @ (f @ c) @ X1) != $true) | ($true != (cP_5 @ (f @ X11) @ X14)) | ((cP_3 @ (f @ X4) @ X5) != $true))), 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 0.22/0.53 thf(f88,plain,( 0.22/0.53 ~spl0_2), 0.22/0.53 inference(avatar_contradiction_clause,[],[f87])). 0.22/0.53 thf(f87,plain,( 0.22/0.53 $false | ~spl0_2), 0.22/0.53 inference(trivial_inequality_removal,[],[f86])). 0.22/0.53 thf(f86,plain,( 0.22/0.53 ($true != $true) | ~spl0_2), 0.22/0.53 inference(superposition,[],[f85,f37])). 0.22/0.53 thf(f37,plain,( 0.22/0.53 ((cP_5 @ a @ a) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f85,plain,( 0.22/0.53 ( ! [X0 : $i] : (($true != (cP_5 @ a @ X0))) ) | ~spl0_2), 0.22/0.53 inference(trivial_inequality_removal,[],[f84])). 0.22/0.53 thf(f84,plain,( 0.22/0.53 ( ! [X0 : $i] : (($true != (cP_5 @ a @ X0)) | ($true != $true)) ) | ~spl0_2), 0.22/0.53 inference(superposition,[],[f83,f23])). 0.22/0.53 thf(f23,plain,( 0.22/0.53 ((cP_4 @ a @ a) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f83,plain,( 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (($true != (cP_4 @ a @ X0)) | ((cP_5 @ X0 @ X1) != $true)) ) | ~spl0_2), 0.22/0.53 inference(trivial_inequality_removal,[],[f82])). 0.22/0.53 thf(f82,plain,( 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (((cP_5 @ X0 @ X1) != $true) | ($true != $true) | ($true != (cP_4 @ a @ X0))) ) | ~spl0_2), 0.22/0.53 inference(superposition,[],[f81,f13])). 0.22/0.53 thf(f13,plain,( 0.22/0.53 ((cP_3 @ a @ a) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f81,plain,( 0.22/0.53 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_3 @ a @ X0)) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_5 @ X1 @ X2))) ) | ~spl0_2), 0.22/0.53 inference(subsumption_resolution,[],[f80,f31])). 0.22/0.53 thf(f31,plain,( 0.22/0.53 ((cP_1 @ a @ a) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f80,plain,( 0.22/0.53 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_3 @ a @ X0)) | ((cP_1 @ a @ a) != $true) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_5 @ X1 @ X2))) ) | ~spl0_2), 0.22/0.53 inference(trivial_inequality_removal,[],[f74])). 0.22/0.53 thf(f74,plain,( 0.22/0.53 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_3 @ a @ X0)) | ($true != (cP_5 @ X1 @ X2)) | ((cP_1 @ a @ a) != $true) | ((cP_4 @ X0 @ X1) != $true) | ($true != $true)) ) | ~spl0_2), 0.22/0.53 inference(superposition,[],[f70,f25])). 0.22/0.53 thf(f25,plain,( 0.22/0.53 ((cP_2 @ a @ a) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f70,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_2 @ X3 @ X4)) | ($true != (cP_3 @ X4 @ X2)) | ($true != (cP_4 @ X2 @ X0)) | ((cP_5 @ X0 @ X1) != $true) | ((cP_1 @ a @ X3) != $true)) ) | ~spl0_2), 0.22/0.53 inference(trivial_inequality_removal,[],[f69])). 0.22/0.53 thf(f69,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_1 @ a @ X3) != $true) | ($true != $true) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_4 @ X2 @ X0)) | ($true != (cP_2 @ X3 @ X4)) | ($true != (cP_3 @ X4 @ X2))) ) | ~spl0_2), 0.22/0.53 inference(superposition,[],[f68,f12])). 0.22/0.53 thf(f68,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_5 @ (f @ X1) @ X3) != $true) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_2 @ X4 @ X2)) | ((cP_1 @ a @ X4) != $true) | ((cP_3 @ X2 @ X0) != $true)) ) | ~spl0_2), 0.22/0.53 inference(trivial_inequality_removal,[],[f67])). 0.22/0.53 thf(f67,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_2 @ X4 @ X2)) | ($true != $true) | ((cP_1 @ a @ X4) != $true) | ((cP_5 @ (f @ X1) @ X3) != $true) | ((cP_3 @ X2 @ X0) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_2), 0.22/0.53 inference(superposition,[],[f66,f19])). 0.22/0.53 thf(f66,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_4 @ (f @ X1) @ X2) != $true) | ((cP_3 @ X0 @ X1) != $true) | ((cP_5 @ (f @ X2) @ X3) != $true) | ((cP_1 @ a @ X4) != $true) | ((cP_2 @ X4 @ X0) != $true)) ) | ~spl0_2), 0.22/0.53 inference(trivial_inequality_removal,[],[f65])). 0.22/0.53 thf(f65,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != $true) | ((cP_4 @ (f @ X1) @ X2) != $true) | ((cP_1 @ a @ X4) != $true) | ((cP_3 @ X0 @ X1) != $true) | ((cP_5 @ (f @ X2) @ X3) != $true) | ((cP_2 @ X4 @ X0) != $true)) ) | ~spl0_2), 0.22/0.53 inference(superposition,[],[f64,f10])). 0.22/0.53 thf(f64,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_3 @ (f @ X1) @ X2)) | ((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_2 @ X0 @ X1) != $true) | ((cP_1 @ a @ X0) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true)) ) | ~spl0_2), 0.22/0.53 inference(trivial_inequality_removal,[],[f63])). 0.22/0.53 thf(f63,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_1 @ a @ X0) != $true) | ((cP_2 @ X0 @ X1) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ($true != (cP_3 @ (f @ X1) @ X2))) ) | ~spl0_2), 0.22/0.53 inference(superposition,[],[f62,f8])). 0.22/0.53 thf(f62,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_1 @ (f @ a) @ X0) != $true) | ((cP_2 @ X0 @ X1) != $true) | ((cP_4 @ (f @ X4) @ X2) != $true) | ((cP_5 @ (f @ X2) @ X3) != $true) | ((cP_3 @ (f @ X1) @ X4) != $true)) ) | ~spl0_2), 0.22/0.53 inference(trivial_inequality_removal,[],[f61])). 0.22/0.53 thf(f61,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_1 @ (f @ a) @ X0) != $true) | ((cP_3 @ (f @ X1) @ X4) != $true) | ((cP_2 @ X0 @ X1) != $true) | ((cP_4 @ (f @ X4) @ X2) != $true) | ((cP_5 @ (f @ X2) @ X3) != $true) | ($true != $true)) ) | ~spl0_2), 0.22/0.53 inference(superposition,[],[f56,f22])). 0.22/0.53 thf(f56,plain,( 0.22/0.53 ( ! [X10 : $i,X8 : $i,X9 : $i,X7 : $i,X13 : $i] : (($true != (cP_2 @ (f @ X9) @ X7)) | ((cP_1 @ (f @ a) @ X9) != $true) | ((cP_5 @ (f @ X10) @ X13) != $true) | ((cP_3 @ (f @ X7) @ X8) != $true) | ((cP_4 @ (f @ X8) @ X10) != $true)) ) | ~spl0_2), 0.22/0.53 inference(avatar_component_clause,[],[f55])). 0.22/0.53 thf(f55,plain,( 0.22/0.53 spl0_2 <=> ! [X10,X7,X13,X9,X8] : (($true != (cP_2 @ (f @ X9) @ X7)) | ((cP_4 @ (f @ X8) @ X10) != $true) | ((cP_3 @ (f @ X7) @ X8) != $true) | ((cP_1 @ (f @ a) @ X9) != $true) | ((cP_5 @ (f @ X10) @ X13) != $true))), 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 0.22/0.53 thf(f60,plain,( 0.22/0.53 spl0_1 | spl0_2 | spl0_3), 0.22/0.53 inference(avatar_split_clause,[],[f50,f58,f55,f52])). 0.22/0.53 thf(f50,plain,( 0.22/0.53 ( ! [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] : (((cP_1 @ (f @ b) @ X0) != $true) | ($true != (cP_2 @ (f @ X9) @ X7)) | ((cP_5 @ (f @ X10) @ X13) != $true) | ((cP_1 @ (f @ a) @ X9) != $true) | ((cP_2 @ (f @ X1) @ X4) != $true) | ((cP_5 @ (f @ X3) @ X12) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ($true != (cP_2 @ (f @ X0) @ X6)) | ((cP_3 @ (f @ X4) @ X5) != $true) | ((cP_3 @ (f @ X7) @ X8) != $true) | ($true != (cP_5 @ (f @ X11) @ X14)) | ((cP_1 @ (f @ c) @ X1) != $true) | ((cP_4 @ (f @ X8) @ X10) != $true) | ($true != (cP_3 @ (f @ X6) @ X2)) | ($true != (cP_4 @ (f @ X5) @ X11))) )), 0.22/0.53 inference(trivial_inequality_removal,[],[f49])). 0.22/0.53 thf(f49,plain,( 0.22/0.53 ( ! [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] : (((cP_4 @ (f @ X8) @ X10) != $true) | ((cP_1 @ (f @ c) @ X1) != $true) | ($true != $true) | ($true != (cP_3 @ (f @ X6) @ X2)) | ($true != (cP_2 @ (f @ X0) @ X6)) | ((cP_5 @ (f @ X10) @ X13) != $true) | ((cP_3 @ (f @ X7) @ X8) != $true) | ((cP_3 @ (f @ X4) @ X5) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_5 @ (f @ X3) @ X12) != $true) | ((cP_2 @ (f @ X1) @ X4) != $true) | ((cP_1 @ (f @ b) @ X0) != $true) | ((cP_1 @ (f @ a) @ X9) != $true) | ($true != (cP_2 @ (f @ X9) @ X7)) | ($true != (cP_5 @ (f @ X11) @ X14)) | ($true != (cP_4 @ (f @ X5) @ X11))) )), 0.22/0.53 inference(superposition,[],[f48,f35])). 0.22/0.53 thf(f35,plain,( 0.22/0.53 ((cQ_1 @ a @ b @ c) = $true)), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f48,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X16 : $i,X7 : $i,X4 : $i,X14 : $i,X17 : $i,X15 : $i,X5 : $i,X12 : $i,X13 : $i] : (((cQ_1 @ X15 @ X16 @ X17) != $true) | ($true != (cP_1 @ (f @ X16) @ X1)) | ($true != (cP_1 @ (f @ X17) @ X2)) | ($true != (cP_4 @ (f @ X9) @ X11)) | ($true != (cP_3 @ (f @ X10) @ X7)) | ((cP_3 @ (f @ X4) @ X9) != $true) | ((cP_3 @ (f @ X3) @ X12) != $true) | ((cP_2 @ (f @ X1) @ X4) != $true) | ($true != (cP_1 @ (f @ X15) @ X0)) | ($true != (cP_4 @ (f @ X12) @ X5)) | ($true != (cP_4 @ (f @ X7) @ X8)) | ((cP_2 @ (f @ X0) @ X3) != $true) | ($true != (cP_5 @ (f @ X11) @ X13)) | ((cP_5 @ (f @ X5) @ X6) != $true) | ($true != (cP_2 @ (f @ X2) @ X10)) | ($true != (cP_5 @ (f @ X8) @ X14))) )), 0.22/0.53 inference(trivial_inequality_removal,[],[f47])). 0.22/0.53 thf(f47,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X16 : $i,X7 : $i,X14 : $i,X4 : $i,X17 : $i,X15 : $i,X5 : $i,X12 : $i,X13 : $i] : (((cQ_1 @ X15 @ X16 @ X17) != $true) | ($true != (cP_1 @ (f @ X17) @ X2)) | ($true != (cP_4 @ (f @ X7) @ X8)) | ($true != (cP_5 @ (f @ X8) @ X14)) | ((cP_3 @ (f @ X3) @ X12) != $true) | ((cP_5 @ (f @ X5) @ X6) != $true) | ($true != (cP_5 @ (f @ X11) @ X13)) | ($true != (cP_3 @ (f @ X10) @ X7)) | ((cP_2 @ (f @ X1) @ X4) != $true) | ($true != (cP_1 @ (f @ X16) @ X1)) | ((cP_2 @ (f @ X0) @ X3) != $true) | ($true != (cP_1 @ (f @ X15) @ X0)) | ((cP_3 @ (f @ X4) @ X9) != $true) | ($true != $true) | ($true != (cP_2 @ (f @ X2) @ X10)) | ($true != (cP_4 @ (f @ X9) @ X11)) | ($true != (cP_4 @ (f @ X12) @ X5))) )), 0.22/0.53 inference(superposition,[],[f46,f14])). 0.22/0.53 thf(f14,plain,( 0.22/0.53 ( ! [X31 : $i,X34 : $i,X35 : $i,X32 : $i,X30 : $i,X33 : $i] : (($true = (cQ_2 @ X35 @ X32 @ X30)) | ((cQ_1 @ X31 @ X33 @ X34) != $true) | ($true != (cP_1 @ (f @ X33) @ X32)) | ($true != (cP_1 @ (f @ X31) @ X35)) | ($true != (cP_1 @ (f @ X34) @ X30))) )), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f46,plain,( 0.22/0.53 ( ! [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_2 @ X12 @ X13 @ X14)) | ((cP_2 @ (f @ X12) @ X0) != $true) | ($true != (cP_2 @ (f @ X13) @ X1)) | ((cP_5 @ (f @ X7) @ X8) != $true) | ($true != (cP_4 @ (f @ X9) @ X10)) | ((cP_3 @ (f @ X1) @ X3) != $true) | ((cP_2 @ (f @ X14) @ X2) != $true) | ($true != (cP_4 @ (f @ X3) @ X4)) | ($true != (cP_3 @ (f @ X0) @ X6)) | ((cP_4 @ (f @ X6) @ X7) != $true) | ($true != (cP_5 @ (f @ X4) @ X5)) | ($true != (cP_5 @ (f @ X10) @ X11)) | ($true != (cP_3 @ (f @ X2) @ X9))) )), 0.22/0.53 inference(trivial_inequality_removal,[],[f45])). 0.22/0.53 thf(f45,plain,( 0.22/0.53 ( ! [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] : (((cP_2 @ (f @ X14) @ X2) != $true) | ($true != (cP_3 @ (f @ X0) @ X6)) | ($true != (cP_4 @ (f @ X9) @ X10)) | ((cP_5 @ (f @ X7) @ X8) != $true) | ($true != (cP_2 @ (f @ X13) @ X1)) | ($true != (cP_5 @ (f @ X4) @ X5)) | ((cP_3 @ (f @ X1) @ X3) != $true) | ((cP_2 @ (f @ X12) @ X0) != $true) | ($true != (cP_3 @ (f @ X2) @ X9)) | ((cP_4 @ (f @ X6) @ X7) != $true) | ($true != $true) | ($true != (cQ_2 @ X12 @ X13 @ X14)) | ($true != (cP_5 @ (f @ X10) @ X11)) | ($true != (cP_4 @ (f @ X3) @ X4))) )), 0.22/0.53 inference(superposition,[],[f44,f9])). 0.22/0.53 thf(f9,plain,( 0.22/0.53 ( ! [X40 : $i,X41 : $i,X44 : $i,X45 : $i,X42 : $i,X43 : $i] : (($true = (cQ_3 @ X41 @ X43 @ X45)) | ((cP_2 @ (f @ X44) @ X41) != $true) | ((cP_2 @ (f @ X40) @ X43) != $true) | ($true != (cP_2 @ (f @ X42) @ X45)) | ($true != (cQ_2 @ X44 @ X40 @ X42))) )), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f44,plain,( 0.22/0.53 ( ! [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_3 @ X9 @ X11 @ X10)) | ($true != (cP_4 @ (f @ X1) @ X7)) | ((cP_5 @ (f @ X7) @ X8) != $true) | ((cP_3 @ (f @ X9) @ X0) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_3 @ (f @ X11) @ X1) != $true) | ((cP_4 @ (f @ X2) @ X5) != $true) | ((cP_3 @ (f @ X10) @ X2) != $true) | ((cP_4 @ (f @ X0) @ X3) != $true) | ((cP_5 @ (f @ X5) @ X6) != $true)) )), 0.22/0.53 inference(trivial_inequality_removal,[],[f43])). 0.22/0.53 thf(f43,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cP_5 @ (f @ X3) @ X4) != $true) | ($true != (cQ_3 @ X9 @ X11 @ X10)) | ($true != (cP_4 @ (f @ X1) @ X7)) | ((cP_3 @ (f @ X9) @ X0) != $true) | ((cP_4 @ (f @ X2) @ X5) != $true) | ((cP_3 @ (f @ X10) @ X2) != $true) | ((cP_5 @ (f @ X5) @ X6) != $true) | ($true != $true) | ((cP_3 @ (f @ X11) @ X1) != $true) | ((cP_4 @ (f @ X0) @ X3) != $true) | ((cP_5 @ (f @ X7) @ X8) != $true)) )), 0.22/0.53 inference(superposition,[],[f42,f20])). 0.22/0.53 thf(f20,plain,( 0.22/0.53 ( ! [X18 : $i,X19 : $i,X16 : $i,X14 : $i,X17 : $i,X15 : $i] : (($true = (cQ_4 @ X17 @ X18 @ X16)) | ((cP_3 @ (f @ X14) @ X17) != $true) | ((cP_3 @ (f @ X15) @ X16) != $true) | ($true != (cQ_3 @ X14 @ X19 @ X15)) | ($true != (cP_3 @ (f @ X19) @ X18))) )), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f42,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cQ_4 @ X6 @ X7 @ X8) != $true) | ($true != (cP_5 @ (f @ X0) @ X5)) | ((cP_4 @ (f @ X8) @ X2) != $true) | ((cP_4 @ (f @ X6) @ X0) != $true) | ($true != (cP_5 @ (f @ X2) @ X4)) | ((cP_5 @ (f @ X1) @ X3) != $true) | ((cP_4 @ (f @ X7) @ X1) != $true)) )), 0.22/0.53 inference(trivial_inequality_removal,[],[f41])). 0.22/0.53 thf(f41,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cP_4 @ (f @ X6) @ X0) != $true) | ((cQ_4 @ X6 @ X7 @ X8) != $true) | ($true != (cP_5 @ (f @ X2) @ X4)) | ((cP_4 @ (f @ X7) @ X1) != $true) | ((cP_5 @ (f @ X1) @ X3) != $true) | ($true != (cP_5 @ (f @ X0) @ X5)) | ((cP_4 @ (f @ X8) @ X2) != $true) | ($true != $true)) )), 0.22/0.53 inference(superposition,[],[f40,f16])). 0.22/0.53 thf(f16,plain,( 0.22/0.53 ( ! [X28 : $i,X26 : $i,X27 : $i,X24 : $i,X25 : $i,X23 : $i] : (($true = (cQ_5 @ X24 @ X23 @ X27)) | ((cQ_4 @ X28 @ X26 @ X25) != $true) | ($true != (cP_4 @ (f @ X28) @ X24)) | ((cP_4 @ (f @ X26) @ X23) != $true) | ((cP_4 @ (f @ X25) @ X27) != $true)) )), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f40,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true != (cQ_5 @ X2 @ X1 @ X3)) | ((cP_5 @ (f @ X1) @ X6) != $true) | ($true != (cP_5 @ (f @ X3) @ X5)) | ($true != (cP_5 @ (f @ X2) @ X4))) )), 0.22/0.53 inference(subsumption_resolution,[],[f33,f26])). 0.22/0.53 thf(f26,plain,( 0.22/0.53 ( ! [X10 : $i,X8 : $i,X9 : $i] : (((cQ_6 @ X9 @ X10 @ X8) != $true)) )), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 thf(f33,plain,( 0.22/0.53 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true != (cP_5 @ (f @ X2) @ X4)) | ((cP_5 @ (f @ X1) @ X6) != $true) | ((cQ_6 @ X4 @ X6 @ X5) = $true) | ($true != (cP_5 @ (f @ X3) @ X5)) | ($true != (cQ_5 @ X2 @ X1 @ X3))) )), 0.22/0.53 inference(cnf_transformation,[],[f7])). 0.22/0.53 % SZS output end Proof for Vampire---4 0.22/0.53 % (23172)------------------------------ 0.22/0.53 % (23172)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.22/0.53 % (23172)Termination reason: Refutation 0.22/0.53 0.22/0.53 % (23172)Memory used [KB]: 5884 0.22/0.53 % (23172)Time elapsed: 0.036 s 0.22/0.53 % (23172)Instructions burned: 43 (million) 0.22/0.53 % (23172)------------------------------ 0.22/0.53 % (23172)------------------------------ 0.22/0.53 % (23163)Success in time 0.047 s 0.22/0.53 % Vampire---4.8 exiting 0.22/0.53 EOF