TSTP Solution File: SYO391^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO391^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:04:16 EDT 2024
% Result : Theorem 0.15s 0.42s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO391^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 09:09:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % (29725)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.37 % (29720)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.37 % (29719)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.37 % (29722)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.37 % (29721)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.15/0.38 % (29723)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38 % (29724)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.15/0.38 % (29722)Instruction limit reached!
% 0.15/0.38 % (29722)------------------------------
% 0.15/0.38 % (29722)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (29722)Termination reason: Unknown
% 0.15/0.38 % (29723)Instruction limit reached!
% 0.15/0.38 % (29723)------------------------------
% 0.15/0.38 % (29723)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (29723)Termination reason: Unknown
% 0.15/0.38 % (29723)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (29723)Memory used [KB]: 1023
% 0.15/0.38 % (29723)Time elapsed: 0.003 s
% 0.15/0.38 % (29723)Instructions burned: 2 (million)
% 0.15/0.38 % (29723)------------------------------
% 0.15/0.38 % (29723)------------------------------
% 0.15/0.38 % (29722)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (29722)Memory used [KB]: 1023
% 0.15/0.38 % (29722)Time elapsed: 0.003 s
% 0.15/0.38 % (29722)Instructions burned: 2 (million)
% 0.15/0.38 % (29722)------------------------------
% 0.15/0.38 % (29722)------------------------------
% 0.15/0.38 % (29726)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.38 % (29720)Instruction limit reached!
% 0.15/0.38 % (29720)------------------------------
% 0.15/0.38 % (29720)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (29720)Termination reason: Unknown
% 0.15/0.38 % (29720)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (29720)Memory used [KB]: 1023
% 0.15/0.38 % (29720)Time elapsed: 0.004 s
% 0.15/0.38 % (29720)Instructions burned: 4 (million)
% 0.15/0.38 % (29720)------------------------------
% 0.15/0.38 % (29720)------------------------------
% 0.15/0.38 % (29726)Instruction limit reached!
% 0.15/0.38 % (29726)------------------------------
% 0.15/0.38 % (29726)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (29726)Termination reason: Unknown
% 0.15/0.38 % (29726)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (29726)Memory used [KB]: 1023
% 0.15/0.38 % (29726)Time elapsed: 0.004 s
% 0.15/0.38 % (29726)Instructions burned: 3 (million)
% 0.15/0.38 % (29726)------------------------------
% 0.15/0.38 % (29726)------------------------------
% 0.15/0.38 % (29725)Instruction limit reached!
% 0.15/0.38 % (29725)------------------------------
% 0.15/0.38 % (29725)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (29725)Termination reason: Unknown
% 0.15/0.38 % (29725)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (29725)Memory used [KB]: 5628
% 0.15/0.38 % (29725)Time elapsed: 0.011 s
% 0.15/0.38 % (29725)Instructions burned: 18 (million)
% 0.15/0.38 % (29725)------------------------------
% 0.15/0.38 % (29725)------------------------------
% 0.15/0.39 % (29727)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.39 % (29728)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.39 % (29729)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.39 % (29721)Instruction limit reached!
% 0.15/0.39 % (29721)------------------------------
% 0.15/0.39 % (29721)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (29721)Termination reason: Unknown
% 0.15/0.39 % (29721)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (29721)Memory used [KB]: 5756
% 0.15/0.39 % (29721)Time elapsed: 0.020 s
% 0.15/0.39 % (29721)Instructions burned: 27 (million)
% 0.15/0.39 % (29721)------------------------------
% 0.15/0.39 % (29721)------------------------------
% 0.15/0.39 % (29730)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.15/0.39 % (29729)Instruction limit reached!
% 0.15/0.39 % (29729)------------------------------
% 0.15/0.39 % (29729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (29729)Termination reason: Unknown
% 0.15/0.39 % (29729)Termination phase: Preprocessing 1
% 0.15/0.39
% 0.15/0.39 % (29729)Memory used [KB]: 1023
% 0.15/0.39 % (29729)Time elapsed: 0.004 s
% 0.15/0.39 % (29729)Instructions burned: 4 (million)
% 0.15/0.39 % (29729)------------------------------
% 0.15/0.39 % (29729)------------------------------
% 0.15/0.40 % (29731)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.40 % (29728)Instruction limit reached!
% 0.15/0.40 % (29728)------------------------------
% 0.15/0.40 % (29728)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (29728)Termination reason: Unknown
% 0.15/0.40 % (29728)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (29731)Instruction limit reached!
% 0.15/0.40 % (29731)------------------------------
% 0.15/0.40 % (29731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (29728)Memory used [KB]: 5756
% 0.15/0.40 % (29728)Time elapsed: 0.011 s
% 0.15/0.40 % (29728)Instructions burned: 15 (million)
% 0.15/0.40 % (29728)------------------------------
% 0.15/0.40 % (29728)------------------------------
% 0.15/0.40 % (29731)Termination reason: Unknown
% 0.15/0.40 % (29731)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (29731)Memory used [KB]: 1151
% 0.15/0.40 % (29731)Time elapsed: 0.005 s
% 0.15/0.40 % (29731)Instructions burned: 7 (million)
% 0.15/0.40 % (29731)------------------------------
% 0.15/0.40 % (29731)------------------------------
% 0.15/0.41 % (29732)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.41 % (29727)Instruction limit reached!
% 0.15/0.41 % (29727)------------------------------
% 0.15/0.41 % (29727)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (29727)Termination reason: Unknown
% 0.15/0.41 % (29727)Termination phase: Saturation
% 0.15/0.41
% 0.15/0.41 % (29727)Memory used [KB]: 5628
% 0.15/0.41 % (29727)Time elapsed: 0.019 s
% 0.15/0.41 % (29727)Instructions burned: 37 (million)
% 0.15/0.41 % (29727)------------------------------
% 0.15/0.41 % (29727)------------------------------
% 0.15/0.41 % (29733)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.41 % (29719)First to succeed.
% 0.15/0.41 % (29733)Instruction limit reached!
% 0.15/0.41 % (29733)------------------------------
% 0.15/0.41 % (29733)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (29733)Termination reason: Unknown
% 0.15/0.41 % (29733)Termination phase: SInE selection
% 0.15/0.41
% 0.15/0.41 % (29733)Memory used [KB]: 1023
% 0.15/0.41 % (29733)Time elapsed: 0.004 s
% 0.15/0.41 % (29733)Instructions burned: 4 (million)
% 0.15/0.41 % (29733)------------------------------
% 0.15/0.41 % (29733)------------------------------
% 0.15/0.41 % (29734)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.41 % (29734)Instruction limit reached!
% 0.15/0.41 % (29734)------------------------------
% 0.15/0.41 % (29734)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (29734)Termination reason: Unknown
% 0.15/0.41 % (29734)Termination phase: Property scanning
% 0.15/0.41
% 0.15/0.41 % (29734)Memory used [KB]: 1023
% 0.15/0.41 % (29734)Time elapsed: 0.003 s
% 0.15/0.41 % (29734)Instructions burned: 3 (million)
% 0.15/0.41 % (29734)------------------------------
% 0.15/0.41 % (29734)------------------------------
% 0.15/0.42 % (29732)Instruction limit reached!
% 0.15/0.42 % (29732)------------------------------
% 0.15/0.42 % (29732)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (29732)Termination reason: Unknown
% 0.15/0.42 % (29732)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (29732)Memory used [KB]: 5756
% 0.15/0.42 % (29732)Time elapsed: 0.010 s
% 0.15/0.42 % (29732)Instructions burned: 16 (million)
% 0.15/0.42 % (29732)------------------------------
% 0.15/0.42 % (29732)------------------------------
% 0.15/0.42 % (29735)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.42 % (29724)Also succeeded, but the first one will report.
% 0.15/0.42 % (29719)Refutation found. Thanks to Tanya!
% 0.15/0.42 % SZS status Theorem for theBenchmark
% 0.15/0.42 % SZS output start Proof for theBenchmark
% 0.15/0.42 thf(func_def_0, type, cQ_7: $i > $i > $i > $o).
% 0.15/0.42 thf(func_def_1, type, f: $i > $i).
% 0.15/0.42 thf(func_def_2, type, cP_6: $i > $i > $o).
% 0.15/0.42 thf(func_def_3, type, cQ_6: $i > $i > $i > $o).
% 0.15/0.42 thf(func_def_8, type, cP_5: $i > $i > $o).
% 0.15/0.42 thf(func_def_9, type, cQ_5: $i > $i > $i > $o).
% 0.15/0.42 thf(func_def_10, type, cP_4: $i > $i > $o).
% 0.15/0.42 thf(func_def_11, type, cQ_4: $i > $i > $i > $o).
% 0.15/0.42 thf(func_def_12, type, cP_3: $i > $i > $o).
% 0.15/0.42 thf(func_def_13, type, cQ_3: $i > $i > $i > $o).
% 0.15/0.42 thf(func_def_14, type, cP_2: $i > $i > $o).
% 0.15/0.42 thf(func_def_15, type, cQ_2: $i > $i > $i > $o).
% 0.15/0.42 thf(func_def_16, type, cP_1: $i > $i > $o).
% 0.15/0.42 thf(func_def_17, type, cQ_1: $i > $i > $i > $o).
% 0.15/0.42 thf(f214,plain,(
% 0.15/0.42 $false),
% 0.15/0.42 inference(avatar_sat_refutation,[],[f68,f93,f118,f182,f206,f213])).
% 0.15/0.42 thf(f213,plain,(
% 0.15/0.42 ~spl0_11),
% 0.15/0.42 inference(avatar_contradiction_clause,[],[f212])).
% 0.15/0.42 thf(f212,plain,(
% 0.15/0.42 $false | ~spl0_11),
% 0.15/0.42 inference(subsumption_resolution,[],[f211,f34])).
% 0.15/0.42 thf(f34,plain,(
% 0.15/0.42 ((cP_4 @ c @ c) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f7,plain,(
% 0.15/0.42 ((cP_1 @ b @ b) = $true) & ((cP_6 @ c @ c) = $true) & ! [X0,X1] : (((cP_1 @ (f @ X0) @ X1) = $true) | ((cP_1 @ X0 @ X1) != $true)) & ! [X2,X3,X4,X5,X6,X7] : (($true != (cQ_4 @ X2 @ X6 @ X5)) | ((cP_4 @ (f @ X5) @ X3) != $true) | ($true != (cP_4 @ (f @ X6) @ X4)) | ($true = (cQ_5 @ X7 @ X4 @ X3)) | ($true != (cP_4 @ (f @ X2) @ X7))) & ((cP_4 @ a @ a) = $true) & ((cP_5 @ b @ b) = $true) & ((cP_3 @ a @ a) = $true) & ! [X8,X9] : (($true != (cP_5 @ X8 @ X9)) | ($true = (cP_5 @ (f @ X8) @ X9))) & ! [X10,X11,X12] : ((cQ_7 @ X12 @ X11 @ X10) != $true) & ! [X13] : ($true = (cP_4 @ d @ X13)) & ((cP_2 @ a @ a) = $true) & ((cP_4 @ c @ c) = $true) & ((cP_5 @ c @ c) = $true) & ((cP_6 @ b @ b) = $true) & ! [X14,X15,X16,X17,X18,X19] : (($true != (cP_6 @ (f @ X14) @ X15)) | ($true != (cP_6 @ (f @ X16) @ X19)) | ($true = (cQ_7 @ X15 @ X19 @ X17)) | ($true != (cQ_6 @ X14 @ X16 @ X18)) | ($true != (cP_6 @ (f @ X18) @ X17))) & ((cP_4 @ b @ b) = $true) & ! [X20] : ($true = (cP_1 @ d @ X20)) & ((cP_3 @ c @ c) = $true) & ! [X21] : ($true = (cP_3 @ d @ X21)) & ((cP_5 @ a @ a) = $true) & ! [X22,X23] : (((cP_4 @ (f @ X23) @ X22) = $true) | ((cP_4 @ X23 @ X22) != $true)) & ! [X24,X25,X26,X27,X28,X29] : (((cP_1 @ (f @ X27) @ X29) != $true) | ($true != (cQ_1 @ X25 @ X27 @ X26)) | ((cP_1 @ (f @ X26) @ X28) != $true) | ($true != (cP_1 @ (f @ X25) @ X24)) | ($true = (cQ_2 @ X24 @ X29 @ X28))) & ! [X30] : ($true = (cP_2 @ d @ X30)) & ((cP_2 @ b @ b) = $true) & ! [X31,X32] : (((cP_6 @ (f @ X32) @ X31) = $true) | ((cP_6 @ X32 @ X31) != $true)) & ((cP_1 @ c @ c) = $true) & ! [X33] : ($true = (cP_5 @ d @ X33)) & ! [X34,X35] : (($true != (cP_2 @ X34 @ X35)) | ((cP_2 @ (f @ X34) @ X35) = $true)) & ((cP_1 @ a @ a) = $true) & ! [X36] : ($true = (cP_6 @ d @ X36)) & ((cP_6 @ a @ a) = $true) & ! [X37,X38,X39,X40,X41,X42] : (($true != (cP_2 @ (f @ X40) @ X42)) | ($true != (cP_2 @ (f @ X41) @ X37)) | ((cQ_3 @ X38 @ X37 @ X42) = $true) | ($true != (cP_2 @ (f @ X39) @ X38)) | ((cQ_2 @ X39 @ X41 @ X40) != $true)) & ! [X43,X44] : (($true != (cP_3 @ X43 @ X44)) | ((cP_3 @ (f @ X43) @ X44) = $true)) & ((cP_3 @ b @ b) = $true) & ! [X45,X46,X47,X48,X49,X50] : (((cP_3 @ (f @ X48) @ X49) != $true) | ($true != (cQ_3 @ X47 @ X48 @ X45)) | ((cP_3 @ (f @ X47) @ X50) != $true) | ($true != (cP_3 @ (f @ X45) @ X46)) | ($true = (cQ_4 @ X50 @ X49 @ X46))) & ((cP_2 @ c @ c) = $true) & ((cQ_1 @ a @ b @ c) = $true) & ! [X51,X52,X53,X54,X55,X56] : (($true != (cP_5 @ (f @ X54) @ X51)) | ($true != (cP_5 @ (f @ X56) @ X55)) | ($true = (cQ_6 @ X51 @ X52 @ X55)) | ((cQ_5 @ X54 @ X53 @ X56) != $true) | ($true != (cP_5 @ (f @ X53) @ X52)))),
% 0.15/0.42 inference(rectify,[],[f6])).
% 0.15/0.42 thf(f6,plain,(
% 0.15/0.42 ((cP_1 @ b @ b) = $true) & ((cP_6 @ c @ c) = $true) & ! [X15,X14] : (($true = (cP_1 @ (f @ X15) @ X14)) | ($true != (cP_1 @ X15 @ X14))) & ! [X2,X6,X7,X4,X3,X5] : (($true != (cQ_4 @ X2 @ X3 @ X4)) | ($true != (cP_4 @ (f @ X4) @ X6)) | ((cP_4 @ (f @ X3) @ X7) != $true) | ((cQ_5 @ X5 @ X7 @ X6) = $true) | ((cP_4 @ (f @ X2) @ X5) != $true)) & ((cP_4 @ a @ a) = $true) & ((cP_5 @ b @ b) = $true) & ((cP_3 @ a @ a) = $true) & ! [X25,X24] : (((cP_5 @ X25 @ X24) != $true) | ($true = (cP_5 @ (f @ X25) @ X24))) & ! [X34,X35,X33] : ((cQ_7 @ X33 @ X35 @ X34) != $true) & ! [X55] : ($true = (cP_4 @ d @ X55)) & ((cP_2 @ a @ a) = $true) & ((cP_4 @ c @ c) = $true) & ((cP_5 @ c @ c) = $true) & ((cP_6 @ b @ b) = $true) & ! [X51,X48,X49,X52,X50,X53] : (($true != (cP_6 @ (f @ X51) @ X48)) | ($true != (cP_6 @ (f @ X49) @ X53)) | ($true = (cQ_7 @ X48 @ X53 @ X52)) | ((cQ_6 @ X51 @ X49 @ X50) != $true) | ($true != (cP_6 @ (f @ X50) @ X52))) & ((cP_4 @ b @ b) = $true) & ! [X0] : ((cP_1 @ d @ X0) = $true) & ((cP_3 @ c @ c) = $true) & ! [X1] : ($true = (cP_3 @ d @ X1)) & ((cP_5 @ a @ a) = $true) & ! [X46,X47] : (((cP_4 @ (f @ X47) @ X46) = $true) | ($true != (cP_4 @ X47 @ X46))) & ! [X21,X18,X19,X16,X20,X17] : (($true != (cP_1 @ (f @ X16) @ X17)) | ($true != (cQ_1 @ X18 @ X16 @ X19)) | ((cP_1 @ (f @ X19) @ X20) != $true) | ($true != (cP_1 @ (f @ X18) @ X21)) | ($true = (cQ_2 @ X21 @ X17 @ X20))) & ! [X32] : ((cP_2 @ d @ X32) = $true) & ((cP_2 @ b @ b) = $true) & ! [X45,X44] : (($true = (cP_6 @ (f @ X44) @ X45)) | ($true != (cP_6 @ X44 @ X45))) & ((cP_1 @ c @ c) = $true) & ! [X54] : ($true = (cP_5 @ d @ X54)) & ! [X22,X23] : (((cP_2 @ X22 @ X23) != $true) | ($true = (cP_2 @ (f @ X22) @ X23))) & ((cP_1 @ a @ a) = $true) & ! [X56] : ($true = (cP_6 @ d @ X56)) & ((cP_6 @ a @ a) = $true) & ! [X26,X31,X28,X29,X27,X30] : (($true != (cP_2 @ (f @ X29) @ X30)) | ($true != (cP_2 @ (f @ X27) @ X26)) | ($true = (cQ_3 @ X31 @ X26 @ X30)) | ((cP_2 @ (f @ X28) @ X31) != $true) | ($true != (cQ_2 @ X28 @ X27 @ X29))) & ! [X37,X36] : (($true != (cP_3 @ X37 @ X36)) | ($true = (cP_3 @ (f @ X37) @ X36))) & ((cP_3 @ b @ b) = $true) & ! [X39,X40,X43,X42,X41,X38] : (($true != (cP_3 @ (f @ X42) @ X41)) | ((cQ_3 @ X43 @ X42 @ X39) != $true) | ($true != (cP_3 @ (f @ X43) @ X38)) | ((cP_3 @ (f @ X39) @ X40) != $true) | ($true = (cQ_4 @ X38 @ X41 @ X40))) & ((cP_2 @ c @ c) = $true) & ((cQ_1 @ a @ b @ c) = $true) & ! [X10,X9,X8,X13,X11,X12] : (($true != (cP_5 @ (f @ X13) @ X10)) | ((cP_5 @ (f @ X12) @ X11) != $true) | ((cQ_6 @ X10 @ X9 @ X11) = $true) | ($true != (cQ_5 @ X13 @ X8 @ X12)) | ($true != (cP_5 @ (f @ X8) @ X9)))),
% 0.15/0.42 inference(flattening,[],[f5])).
% 0.15/0.42 thf(f5,plain,(
% 0.15/0.42 ~~(! [X0] : ((cP_1 @ d @ X0) = $true) & ! [X1] : ($true = (cP_3 @ d @ X1)) & ! [X2,X3,X4,X5,X6,X7] : (~((cP_4 @ (f @ X2) @ X5) = $true) | ~($true = (cQ_4 @ X2 @ X3 @ X4)) | ~((cP_4 @ (f @ X3) @ X7) = $true) | ~($true = (cP_4 @ (f @ X4) @ X6)) | ((cQ_5 @ X5 @ X7 @ X6) = $true)) & ! [X8,X9,X10,X11,X12,X13] : (~((cP_5 @ (f @ X12) @ X11) = $true) | ~($true = (cP_5 @ (f @ X13) @ X10)) | ~($true = (cP_5 @ (f @ X8) @ X9)) | ~($true = (cQ_5 @ X13 @ X8 @ X12)) | ((cQ_6 @ X10 @ X9 @ X11) = $true)) & ! [X14,X15] : (~($true = (cP_1 @ X15 @ X14)) | ($true = (cP_1 @ (f @ X15) @ X14))) & ! [X16,X17,X18,X19,X20,X21] : (($true = (cQ_2 @ X21 @ X17 @ X20)) | ~((cP_1 @ (f @ X19) @ X20) = $true) | ~($true = (cP_1 @ (f @ X18) @ X21)) | ~($true = (cP_1 @ (f @ X16) @ X17)) | ~($true = (cQ_1 @ X18 @ X16 @ X19))) & ! [X22,X23] : (~((cP_2 @ X22 @ X23) = $true) | ($true = (cP_2 @ (f @ X22) @ X23))) & ! [X24,X25] : (~((cP_5 @ X25 @ X24) = $true) | ($true = (cP_5 @ (f @ X25) @ X24))) & ((cP_1 @ b @ b) = $true) & ! [X26,X27,X28,X29,X30,X31] : (($true = (cQ_3 @ X31 @ X26 @ X30)) | ~($true = (cP_2 @ (f @ X29) @ X30)) | ~((cP_2 @ (f @ X28) @ X31) = $true) | ~($true = (cQ_2 @ X28 @ X27 @ X29)) | ~($true = (cP_2 @ (f @ X27) @ X26))) & ! [X32] : ((cP_2 @ d @ X32) = $true) & ((cQ_1 @ a @ b @ c) = $true) & ((cP_2 @ b @ b) = $true) & ((cP_3 @ c @ c) = $true) & ((cP_5 @ c @ c) = $true) & ((cP_3 @ a @ a) = $true) & ((cP_6 @ a @ a) = $true) & ((cP_6 @ b @ b) = $true) & ! [X33,X34,X35] : ~((cQ_7 @ X33 @ X35 @ X34) = $true) & ((cP_2 @ a @ a) = $true) & ! [X36,X37] : (($true = (cP_3 @ (f @ X37) @ X36)) | ~($true = (cP_3 @ X37 @ X36))) & ! [X38,X39,X40,X41,X42,X43] : (($true = (cQ_4 @ X38 @ X41 @ X40)) | ~((cQ_3 @ X43 @ X42 @ X39) = $true) | ~($true = (cP_3 @ (f @ X42) @ X41)) | ~($true = (cP_3 @ (f @ X43) @ X38)) | ~((cP_3 @ (f @ X39) @ X40) = $true)) & ((cP_4 @ c @ c) = $true) & ((cP_3 @ b @ b) = $true) & ! [X44,X45] : (~($true = (cP_6 @ X44 @ X45)) | ($true = (cP_6 @ (f @ X44) @ X45))) & ! [X46,X47] : (~($true = (cP_4 @ X47 @ X46)) | ((cP_4 @ (f @ X47) @ X46) = $true)) & ! [X48,X49,X50,X51,X52,X53] : (~($true = (cP_6 @ (f @ X49) @ X53)) | ($true = (cQ_7 @ X48 @ X53 @ X52)) | ~($true = (cP_6 @ (f @ X50) @ X52)) | ~((cQ_6 @ X51 @ X49 @ X50) = $true) | ~($true = (cP_6 @ (f @ X51) @ X48))) & ((cP_6 @ c @ c) = $true) & ((cP_5 @ b @ b) = $true) & ((cP_5 @ a @ a) = $true) & ((cP_1 @ a @ a) = $true) & ! [X54] : ($true = (cP_5 @ d @ X54)) & ((cP_4 @ a @ a) = $true) & ((cP_2 @ c @ c) = $true) & ((cP_4 @ b @ b) = $true) & ! [X55] : ($true = (cP_4 @ d @ X55)) & ! [X56] : ($true = (cP_6 @ d @ X56)) & ((cP_1 @ c @ c) = $true))),
% 0.15/0.42 inference(fool_elimination,[],[f4])).
% 0.15/0.42 thf(f4,plain,(
% 0.15/0.42 ~~(! [X0] : (cP_1 @ d @ X0) & ! [X1] : (cP_3 @ d @ X1) & ! [X2,X3,X4,X5,X6,X7] : (~(cP_4 @ (f @ X2) @ X5) | ~(cQ_4 @ X2 @ X3 @ X4) | ~(cP_4 @ (f @ X3) @ X7) | ~(cP_4 @ (f @ X4) @ X6) | (cQ_5 @ X5 @ X7 @ X6)) & ! [X8,X9,X10,X11,X12,X13] : (~(cP_5 @ (f @ X12) @ X11) | ~(cP_5 @ (f @ X13) @ X10) | ~(cP_5 @ (f @ X8) @ X9) | ~(cQ_5 @ X13 @ X8 @ X12) | (cQ_6 @ X10 @ X9 @ X11)) & ! [X14,X15] : (~(cP_1 @ X15 @ X14) | (cP_1 @ (f @ X15) @ X14)) & ! [X16,X17,X18,X19,X20,X21] : ((cQ_2 @ X21 @ X17 @ X20) | ~(cP_1 @ (f @ X19) @ X20) | ~(cP_1 @ (f @ X18) @ X21) | ~(cP_1 @ (f @ X16) @ X17) | ~(cQ_1 @ X18 @ X16 @ X19)) & ! [X22,X23] : (~(cP_2 @ X22 @ X23) | (cP_2 @ (f @ X22) @ X23)) & ! [X24,X25] : (~(cP_5 @ X25 @ X24) | (cP_5 @ (f @ X25) @ X24)) & (cP_1 @ b @ b) & ! [X26,X27,X28,X29,X30,X31] : ((cQ_3 @ X31 @ X26 @ X30) | ~(cP_2 @ (f @ X29) @ X30) | ~(cP_2 @ (f @ X28) @ X31) | ~(cQ_2 @ X28 @ X27 @ X29) | ~(cP_2 @ (f @ X27) @ X26)) & ! [X32] : (cP_2 @ d @ X32) & (cQ_1 @ a @ b @ c) & (cP_2 @ b @ b) & (cP_3 @ c @ c) & (cP_5 @ c @ c) & (cP_3 @ a @ a) & (cP_6 @ a @ a) & (cP_6 @ b @ b) & ! [X33,X34,X35] : ~(cQ_7 @ X33 @ X35 @ X34) & (cP_2 @ a @ a) & ! [X36,X37] : ((cP_3 @ (f @ X37) @ X36) | ~(cP_3 @ X37 @ X36)) & ! [X38,X39,X40,X41,X42,X43] : ((cQ_4 @ X38 @ X41 @ X40) | ~(cQ_3 @ X43 @ X42 @ X39) | ~(cP_3 @ (f @ X42) @ X41) | ~(cP_3 @ (f @ X43) @ X38) | ~(cP_3 @ (f @ X39) @ X40)) & (cP_4 @ c @ c) & (cP_3 @ b @ b) & ! [X44,X45] : (~(cP_6 @ X44 @ X45) | (cP_6 @ (f @ X44) @ X45)) & ! [X46,X47] : (~(cP_4 @ X47 @ X46) | (cP_4 @ (f @ X47) @ X46)) & ! [X48,X49,X50,X51,X52,X53] : (~(cP_6 @ (f @ X49) @ X53) | (cQ_7 @ X48 @ X53 @ X52) | ~(cP_6 @ (f @ X50) @ X52) | ~(cQ_6 @ X51 @ X49 @ X50) | ~(cP_6 @ (f @ X51) @ X48)) & (cP_6 @ c @ c) & (cP_5 @ b @ b) & (cP_5 @ a @ a) & (cP_1 @ a @ a) & ! [X54] : (cP_5 @ d @ X54) & (cP_4 @ a @ a) & (cP_2 @ c @ c) & (cP_4 @ b @ b) & ! [X55] : (cP_4 @ d @ X55) & ! [X56] : (cP_6 @ d @ X56) & (cP_1 @ c @ c))),
% 0.15/0.42 inference(rectify,[],[f2])).
% 0.15/0.42 thf(f2,negated_conjecture,(
% 0.15/0.42 ~~(! [X0] : (cP_1 @ d @ X0) & ! [X0] : (cP_3 @ d @ X0) & ! [X0,X1,X2,X3,X5,X4] : (~(cP_4 @ (f @ X0) @ X3) | ~(cQ_4 @ X0 @ X1 @ X2) | ~(cP_4 @ (f @ X1) @ X4) | ~(cP_4 @ (f @ X2) @ X5) | (cQ_5 @ X3 @ X4 @ X5)) & ! [X1,X4,X3,X5,X2,X0] : (~(cP_5 @ (f @ X2) @ X5) | ~(cP_5 @ (f @ X0) @ X3) | ~(cP_5 @ (f @ X1) @ X4) | ~(cQ_5 @ X0 @ X1 @ X2) | (cQ_6 @ X3 @ X4 @ X5)) & ! [X1,X0] : (~(cP_1 @ X0 @ X1) | (cP_1 @ (f @ X0) @ X1)) & ! [X1,X4,X0,X2,X5,X3] : ((cQ_2 @ X3 @ X4 @ X5) | ~(cP_1 @ (f @ X2) @ X5) | ~(cP_1 @ (f @ X0) @ X3) | ~(cP_1 @ (f @ X1) @ X4) | ~(cQ_1 @ X0 @ X1 @ X2)) & ! [X0,X1] : (~(cP_2 @ X0 @ X1) | (cP_2 @ (f @ X0) @ X1)) & ! [X1,X0] : (~(cP_5 @ X0 @ X1) | (cP_5 @ (f @ X0) @ X1)) & (cP_1 @ b @ b) & ! [X4,X1,X0,X2,X5,X3] : ((cQ_3 @ X3 @ X4 @ X5) | ~(cP_2 @ (f @ X2) @ X5) | ~(cP_2 @ (f @ X0) @ X3) | ~(cQ_2 @ X0 @ X1 @ X2) | ~(cP_2 @ (f @ X1) @ X4)) & ! [X0] : (cP_2 @ d @ X0) & (cQ_1 @ a @ b @ c) & (cP_2 @ b @ b) & (cP_3 @ c @ c) & (cP_5 @ c @ c) & (cP_3 @ a @ a) & (cP_6 @ a @ a) & (cP_6 @ b @ b) & ! [X0,X2,X1] : ~(cQ_7 @ X0 @ X1 @ X2) & (cP_2 @ a @ a) & ! [X1,X0] : ((cP_3 @ (f @ X0) @ X1) | ~(cP_3 @ X0 @ X1)) & ! [X3,X2,X5,X4,X1,X0] : ((cQ_4 @ X3 @ X4 @ X5) | ~(cQ_3 @ X0 @ X1 @ X2) | ~(cP_3 @ (f @ X1) @ X4) | ~(cP_3 @ (f @ X0) @ X3) | ~(cP_3 @ (f @ X2) @ X5)) & (cP_4 @ c @ c) & (cP_3 @ b @ b) & ! [X0,X1] : (~(cP_6 @ X0 @ X1) | (cP_6 @ (f @ X0) @ X1)) & ! [X1,X0] : (~(cP_4 @ X0 @ X1) | (cP_4 @ (f @ X0) @ X1)) & ! [X3,X1,X2,X0,X5,X4] : (~(cP_6 @ (f @ X1) @ X4) | (cQ_7 @ X3 @ X4 @ X5) | ~(cP_6 @ (f @ X2) @ X5) | ~(cQ_6 @ X0 @ X1 @ X2) | ~(cP_6 @ (f @ X0) @ X3)) & (cP_6 @ c @ c) & (cP_5 @ b @ b) & (cP_5 @ a @ a) & (cP_1 @ a @ a) & ! [X0] : (cP_5 @ d @ X0) & (cP_4 @ a @ a) & (cP_2 @ c @ c) & (cP_4 @ b @ b) & ! [X0] : (cP_4 @ d @ X0) & ! [X0] : (cP_6 @ d @ X0) & (cP_1 @ c @ c))),
% 0.15/0.42 inference(negated_conjecture,[],[f1])).
% 0.15/0.42 thf(f1,conjecture,(
% 0.15/0.42 ~(! [X0] : (cP_1 @ d @ X0) & ! [X0] : (cP_3 @ d @ X0) & ! [X0,X1,X2,X3,X5,X4] : (~(cP_4 @ (f @ X0) @ X3) | ~(cQ_4 @ X0 @ X1 @ X2) | ~(cP_4 @ (f @ X1) @ X4) | ~(cP_4 @ (f @ X2) @ X5) | (cQ_5 @ X3 @ X4 @ X5)) & ! [X1,X4,X3,X5,X2,X0] : (~(cP_5 @ (f @ X2) @ X5) | ~(cP_5 @ (f @ X0) @ X3) | ~(cP_5 @ (f @ X1) @ X4) | ~(cQ_5 @ X0 @ X1 @ X2) | (cQ_6 @ X3 @ X4 @ X5)) & ! [X1,X0] : (~(cP_1 @ X0 @ X1) | (cP_1 @ (f @ X0) @ X1)) & ! [X1,X4,X0,X2,X5,X3] : ((cQ_2 @ X3 @ X4 @ X5) | ~(cP_1 @ (f @ X2) @ X5) | ~(cP_1 @ (f @ X0) @ X3) | ~(cP_1 @ (f @ X1) @ X4) | ~(cQ_1 @ X0 @ X1 @ X2)) & ! [X0,X1] : (~(cP_2 @ X0 @ X1) | (cP_2 @ (f @ X0) @ X1)) & ! [X1,X0] : (~(cP_5 @ X0 @ X1) | (cP_5 @ (f @ X0) @ X1)) & (cP_1 @ b @ b) & ! [X4,X1,X0,X2,X5,X3] : ((cQ_3 @ X3 @ X4 @ X5) | ~(cP_2 @ (f @ X2) @ X5) | ~(cP_2 @ (f @ X0) @ X3) | ~(cQ_2 @ X0 @ X1 @ X2) | ~(cP_2 @ (f @ X1) @ X4)) & ! [X0] : (cP_2 @ d @ X0) & (cQ_1 @ a @ b @ c) & (cP_2 @ b @ b) & (cP_3 @ c @ c) & (cP_5 @ c @ c) & (cP_3 @ a @ a) & (cP_6 @ a @ a) & (cP_6 @ b @ b) & ! [X0,X2,X1] : ~(cQ_7 @ X0 @ X1 @ X2) & (cP_2 @ a @ a) & ! [X1,X0] : ((cP_3 @ (f @ X0) @ X1) | ~(cP_3 @ X0 @ X1)) & ! [X3,X2,X5,X4,X1,X0] : ((cQ_4 @ X3 @ X4 @ X5) | ~(cQ_3 @ X0 @ X1 @ X2) | ~(cP_3 @ (f @ X1) @ X4) | ~(cP_3 @ (f @ X0) @ X3) | ~(cP_3 @ (f @ X2) @ X5)) & (cP_4 @ c @ c) & (cP_3 @ b @ b) & ! [X0,X1] : (~(cP_6 @ X0 @ X1) | (cP_6 @ (f @ X0) @ X1)) & ! [X1,X0] : (~(cP_4 @ X0 @ X1) | (cP_4 @ (f @ X0) @ X1)) & ! [X3,X1,X2,X0,X5,X4] : (~(cP_6 @ (f @ X1) @ X4) | (cQ_7 @ X3 @ X4 @ X5) | ~(cP_6 @ (f @ X2) @ X5) | ~(cQ_6 @ X0 @ X1 @ X2) | ~(cP_6 @ (f @ X0) @ X3)) & (cP_6 @ c @ c) & (cP_5 @ b @ b) & (cP_5 @ a @ a) & (cP_1 @ a @ a) & ! [X0] : (cP_5 @ d @ X0) & (cP_4 @ a @ a) & (cP_2 @ c @ c) & (cP_4 @ b @ b) & ! [X0] : (cP_4 @ d @ X0) & ! [X0] : (cP_6 @ d @ X0) & (cP_1 @ c @ c))),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM409_6)).
% 0.15/0.42 thf(f211,plain,(
% 0.15/0.42 ((cP_4 @ c @ c) != $true) | ~spl0_11),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f210])).
% 0.15/0.42 thf(f210,plain,(
% 0.15/0.42 ($true != $true) | ((cP_4 @ c @ c) != $true) | ~spl0_11),
% 0.15/0.42 inference(superposition,[],[f181,f28])).
% 0.15/0.42 thf(f28,plain,(
% 0.15/0.42 ((cP_3 @ c @ c) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f181,plain,(
% 0.15/0.42 ( ! [X0 : $i] : (((cP_3 @ c @ X0) != $true) | ((cP_4 @ X0 @ c) != $true)) ) | ~spl0_11),
% 0.15/0.42 inference(avatar_component_clause,[],[f180])).
% 0.15/0.42 thf(f180,plain,(
% 0.15/0.42 spl0_11 <=> ! [X0] : (((cP_3 @ c @ X0) != $true) | ((cP_4 @ X0 @ c) != $true))),
% 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 0.15/0.42 thf(f206,plain,(
% 0.15/0.42 ~spl0_10),
% 0.15/0.42 inference(avatar_contradiction_clause,[],[f205])).
% 0.15/0.42 thf(f205,plain,(
% 0.15/0.42 $false | ~spl0_10),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f204])).
% 0.15/0.42 thf(f204,plain,(
% 0.15/0.42 ($true != $true) | ~spl0_10),
% 0.15/0.42 inference(superposition,[],[f178,f44])).
% 0.15/0.42 thf(f44,plain,(
% 0.15/0.42 ((cP_6 @ c @ c) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f178,plain,(
% 0.15/0.42 ( ! [X1 : $i] : (($true != (cP_6 @ c @ X1))) ) | ~spl0_10),
% 0.15/0.42 inference(avatar_component_clause,[],[f177])).
% 0.15/0.42 thf(f177,plain,(
% 0.15/0.42 spl0_10 <=> ! [X1] : ($true != (cP_6 @ c @ X1))),
% 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.15/0.42 thf(f182,plain,(
% 0.15/0.42 spl0_10 | spl0_11 | ~spl0_1),
% 0.15/0.42 inference(avatar_split_clause,[],[f174,f60,f180,f177])).
% 0.15/0.42 thf(f60,plain,(
% 0.15/0.42 spl0_1 <=> ! [X1,X17,X0,X8,X2,X7] : (($true != (cP_1 @ (f @ c) @ X0)) | ($true != (cP_3 @ (f @ X7) @ X8)) | ($true != (cP_2 @ (f @ X0) @ X7)) | ($true != (cP_5 @ (f @ X1) @ X2)) | ((cP_4 @ (f @ X8) @ X1) != $true) | ((cP_6 @ (f @ X2) @ X17) != $true))),
% 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.15/0.42 thf(f174,plain,(
% 0.15/0.42 ( ! [X0 : $i,X1 : $i] : (((cP_3 @ c @ X0) != $true) | ((cP_4 @ X0 @ c) != $true) | ($true != (cP_6 @ c @ X1))) ) | ~spl0_1),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f167])).
% 0.15/0.42 thf(f167,plain,(
% 0.15/0.42 ( ! [X0 : $i,X1 : $i] : (((cP_4 @ X0 @ c) != $true) | ((cP_3 @ c @ X0) != $true) | ($true != $true) | ($true != (cP_6 @ c @ X1))) ) | ~spl0_1),
% 0.15/0.42 inference(superposition,[],[f157,f33])).
% 0.15/0.42 thf(f33,plain,(
% 0.15/0.42 ((cP_5 @ c @ c) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f157,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cP_5 @ X1 @ X2)) | ((cP_3 @ c @ X0) != $true) | ($true != (cP_6 @ X2 @ X3)) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_1),
% 0.15/0.42 inference(subsumption_resolution,[],[f137,f20])).
% 0.15/0.42 thf(f20,plain,(
% 0.15/0.42 ((cP_1 @ c @ c) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f137,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_4 @ X0 @ X1) != $true) | ($true != (cP_6 @ X2 @ X3)) | ($true != (cP_5 @ X1 @ X2)) | ((cP_3 @ c @ X0) != $true) | ((cP_1 @ c @ c) != $true)) ) | ~spl0_1),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f132])).
% 0.15/0.42 thf(f132,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_1 @ c @ c) != $true) | ($true != (cP_5 @ X1 @ X2)) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_6 @ X2 @ X3)) | ((cP_3 @ c @ X0) != $true) | ($true != $true)) ) | ~spl0_1),
% 0.15/0.42 inference(superposition,[],[f130,f10])).
% 0.15/0.42 thf(f10,plain,(
% 0.15/0.42 ((cP_2 @ c @ c) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f130,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_2 @ X4 @ X5)) | ($true != (cP_3 @ X5 @ X2)) | ($true != (cP_5 @ X3 @ X0)) | ((cP_1 @ c @ X4) != $true) | ($true != (cP_4 @ X2 @ X3)) | ((cP_6 @ X0 @ X1) != $true)) ) | ~spl0_1),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f129])).
% 0.15/0.42 thf(f129,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_5 @ X3 @ X0)) | ($true != (cP_3 @ X5 @ X2)) | ($true != (cP_4 @ X2 @ X3)) | ($true != $true) | ((cP_1 @ c @ X4) != $true) | ($true != (cP_2 @ X4 @ X5)) | ((cP_6 @ X0 @ X1) != $true)) ) | ~spl0_1),
% 0.15/0.42 inference(superposition,[],[f128,f21])).
% 0.15/0.42 thf(f21,plain,(
% 0.15/0.42 ( ! [X31 : $i,X32 : $i] : (((cP_6 @ (f @ X32) @ X31) = $true) | ((cP_6 @ X32 @ X31) != $true)) )),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f128,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_6 @ (f @ X1) @ X2)) | ($true != (cP_4 @ X3 @ X0)) | ((cP_1 @ c @ X5) != $true) | ((cP_3 @ X4 @ X3) != $true) | ((cP_5 @ X0 @ X1) != $true) | ((cP_2 @ X5 @ X4) != $true)) ) | ~spl0_1),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f127])).
% 0.15/0.42 thf(f127,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((cP_2 @ X5 @ X4) != $true) | ($true != $true) | ($true != (cP_4 @ X3 @ X0)) | ((cP_3 @ X4 @ X3) != $true) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_6 @ (f @ X1) @ X2)) | ((cP_1 @ c @ X5) != $true)) ) | ~spl0_1),
% 0.15/0.42 inference(superposition,[],[f126,f38])).
% 0.15/0.42 thf(f38,plain,(
% 0.15/0.42 ( ! [X8 : $i,X9 : $i] : (($true = (cP_5 @ (f @ X8) @ X9)) | ($true != (cP_5 @ X8 @ X9))) )),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f126,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_5 @ (f @ X5) @ X3)) | ($true != (cP_6 @ (f @ X3) @ X4)) | ($true != (cP_4 @ X1 @ X5)) | ((cP_3 @ X0 @ X1) != $true) | ((cP_2 @ X2 @ X0) != $true) | ((cP_1 @ c @ X2) != $true)) ) | ~spl0_1),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f125])).
% 0.15/0.42 thf(f125,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != $true) | ((cP_1 @ c @ X2) != $true) | ((cP_3 @ X0 @ X1) != $true) | ($true != (cP_4 @ X1 @ X5)) | ($true != (cP_6 @ (f @ X3) @ X4)) | ($true != (cP_5 @ (f @ X5) @ X3)) | ((cP_2 @ X2 @ X0) != $true)) ) | ~spl0_1),
% 0.15/0.42 inference(superposition,[],[f124,f13])).
% 0.15/0.42 thf(f13,plain,(
% 0.15/0.42 ( ! [X44 : $i,X43 : $i] : (((cP_3 @ (f @ X43) @ X44) = $true) | ($true != (cP_3 @ X43 @ X44))) )),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f124,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_3 @ (f @ X3) @ X0)) | ((cP_2 @ X2 @ X3) != $true) | ($true != (cP_6 @ (f @ X4) @ X5)) | ((cP_4 @ X0 @ X1) != $true) | ((cP_5 @ (f @ X1) @ X4) != $true) | ((cP_1 @ c @ X2) != $true)) ) | ~spl0_1),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f123])).
% 0.15/0.42 thf(f123,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_3 @ (f @ X3) @ X0)) | ((cP_4 @ X0 @ X1) != $true) | ((cP_2 @ X2 @ X3) != $true) | ($true != (cP_6 @ (f @ X4) @ X5)) | ((cP_1 @ c @ X2) != $true) | ($true != $true) | ((cP_5 @ (f @ X1) @ X4) != $true)) ) | ~spl0_1),
% 0.15/0.42 inference(superposition,[],[f122,f25])).
% 0.15/0.42 thf(f25,plain,(
% 0.15/0.42 ( ! [X22 : $i,X23 : $i] : (((cP_4 @ (f @ X23) @ X22) = $true) | ((cP_4 @ X23 @ X22) != $true)) )),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f122,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_4 @ (f @ X4) @ X2)) | ((cP_1 @ c @ X0) != $true) | ((cP_2 @ X0 @ X1) != $true) | ((cP_5 @ (f @ X2) @ X3) != $true) | ((cP_6 @ (f @ X3) @ X5) != $true) | ((cP_3 @ (f @ X1) @ X4) != $true)) ) | ~spl0_1),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f121])).
% 0.15/0.42 thf(f121,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((cP_3 @ (f @ X1) @ X4) != $true) | ((cP_6 @ (f @ X3) @ X5) != $true) | ($true != $true) | ((cP_1 @ c @ X0) != $true) | ($true != (cP_4 @ (f @ X4) @ X2)) | ((cP_5 @ (f @ X2) @ X3) != $true) | ((cP_2 @ X0 @ X1) != $true)) ) | ~spl0_1),
% 0.15/0.42 inference(superposition,[],[f120,f18])).
% 0.15/0.42 thf(f18,plain,(
% 0.15/0.42 ( ! [X34 : $i,X35 : $i] : (((cP_2 @ (f @ X34) @ X35) = $true) | ($true != (cP_2 @ X34 @ X35))) )),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f120,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_2 @ (f @ X0) @ X5)) | ($true != (cP_5 @ (f @ X1) @ X2)) | ($true != (cP_3 @ (f @ X5) @ X3)) | ($true != (cP_4 @ (f @ X3) @ X1)) | ((cP_1 @ c @ X0) != $true) | ($true != (cP_6 @ (f @ X2) @ X4))) ) | ~spl0_1),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f119])).
% 0.15/0.42 thf(f119,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_5 @ (f @ X1) @ X2)) | ($true != (cP_6 @ (f @ X2) @ X4)) | ($true != (cP_4 @ (f @ X3) @ X1)) | ((cP_1 @ c @ X0) != $true) | ($true != (cP_2 @ (f @ X0) @ X5)) | ($true != (cP_3 @ (f @ X5) @ X3)) | ($true != $true)) ) | ~spl0_1),
% 0.15/0.42 inference(superposition,[],[f61,f43])).
% 0.15/0.42 thf(f43,plain,(
% 0.15/0.42 ( ! [X0 : $i,X1 : $i] : (((cP_1 @ (f @ X0) @ X1) = $true) | ((cP_1 @ X0 @ X1) != $true)) )),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f61,plain,(
% 0.15/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i,X8 : $i,X7 : $i,X17 : $i] : (($true != (cP_1 @ (f @ c) @ X0)) | ($true != (cP_5 @ (f @ X1) @ X2)) | ((cP_4 @ (f @ X8) @ X1) != $true) | ((cP_6 @ (f @ X2) @ X17) != $true) | ($true != (cP_3 @ (f @ X7) @ X8)) | ($true != (cP_2 @ (f @ X0) @ X7))) ) | ~spl0_1),
% 0.15/0.42 inference(avatar_component_clause,[],[f60])).
% 0.15/0.42 thf(f118,plain,(
% 0.15/0.42 ~spl0_3),
% 0.15/0.42 inference(avatar_contradiction_clause,[],[f117])).
% 0.15/0.42 thf(f117,plain,(
% 0.15/0.42 $false | ~spl0_3),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f116])).
% 0.15/0.42 thf(f116,plain,(
% 0.15/0.42 ($true != $true) | ~spl0_3),
% 0.15/0.42 inference(superposition,[],[f115,f15])).
% 0.15/0.42 thf(f15,plain,(
% 0.15/0.42 ((cP_6 @ a @ a) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f115,plain,(
% 0.15/0.42 ( ! [X0 : $i] : (($true != (cP_6 @ a @ X0))) ) | ~spl0_3),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f114])).
% 0.15/0.42 thf(f114,plain,(
% 0.15/0.42 ( ! [X0 : $i] : (($true != $true) | ($true != (cP_6 @ a @ X0))) ) | ~spl0_3),
% 0.15/0.42 inference(superposition,[],[f113,f26])).
% 0.15/0.42 thf(f26,plain,(
% 0.15/0.42 ((cP_5 @ a @ a) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f113,plain,(
% 0.15/0.42 ( ! [X0 : $i,X1 : $i] : (($true != (cP_5 @ a @ X0)) | ((cP_6 @ X0 @ X1) != $true)) ) | ~spl0_3),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f112])).
% 0.15/0.42 thf(f112,plain,(
% 0.15/0.42 ( ! [X0 : $i,X1 : $i] : (($true != (cP_5 @ a @ X0)) | ((cP_6 @ X0 @ X1) != $true) | ($true != $true)) ) | ~spl0_3),
% 0.15/0.42 inference(superposition,[],[f111,f41])).
% 0.15/0.42 thf(f41,plain,(
% 0.15/0.42 ((cP_4 @ a @ a) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f111,plain,(
% 0.15/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_4 @ a @ X0)) | ($true != (cP_6 @ X1 @ X2)) | ((cP_5 @ X0 @ X1) != $true)) ) | ~spl0_3),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f110])).
% 0.15/0.42 thf(f110,plain,(
% 0.15/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_6 @ X1 @ X2)) | ($true != $true) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_4 @ a @ X0))) ) | ~spl0_3),
% 0.15/0.42 inference(superposition,[],[f109,f39])).
% 0.15/0.42 thf(f39,plain,(
% 0.15/0.42 ((cP_3 @ a @ a) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f109,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cP_3 @ a @ X0)) | ($true != (cP_5 @ X1 @ X2)) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_6 @ X2 @ X3))) ) | ~spl0_3),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f108])).
% 0.15/0.42 thf(f108,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cP_6 @ X2 @ X3)) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_5 @ X1 @ X2)) | ($true != $true) | ($true != (cP_3 @ a @ X0))) ) | ~spl0_3),
% 0.15/0.42 inference(superposition,[],[f107,f35])).
% 0.15/0.42 thf(f35,plain,(
% 0.15/0.42 ((cP_2 @ a @ a) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f107,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_2 @ a @ X0)) | ($true != (cP_4 @ X1 @ X2)) | ((cP_3 @ X0 @ X1) != $true) | ($true != (cP_5 @ X2 @ X3)) | ($true != (cP_6 @ X3 @ X4))) ) | ~spl0_3),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f106])).
% 0.15/0.42 thf(f106,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != $true) | ($true != (cP_6 @ X3 @ X4)) | ($true != (cP_5 @ X2 @ X3)) | ((cP_3 @ X0 @ X1) != $true) | ($true != (cP_4 @ X1 @ X2)) | ($true != (cP_2 @ a @ X0))) ) | ~spl0_3),
% 0.15/0.42 inference(superposition,[],[f105,f17])).
% 0.15/0.42 thf(f17,plain,(
% 0.15/0.42 ((cP_1 @ a @ a) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f105,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_1 @ a @ X3)) | ((cP_3 @ X4 @ X5) != $true) | ($true != (cP_4 @ X5 @ X2)) | ($true != (cP_2 @ X3 @ X4)) | ($true != (cP_5 @ X2 @ X0)) | ((cP_6 @ X0 @ X1) != $true)) ) | ~spl0_3),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f104])).
% 0.15/0.42 thf(f104,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_1 @ a @ X3)) | ($true != (cP_4 @ X5 @ X2)) | ($true != (cP_5 @ X2 @ X0)) | ($true != (cP_2 @ X3 @ X4)) | ((cP_6 @ X0 @ X1) != $true) | ($true != $true) | ((cP_3 @ X4 @ X5) != $true)) ) | ~spl0_3),
% 0.15/0.42 inference(superposition,[],[f103,f21])).
% 0.15/0.42 thf(f103,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_6 @ (f @ X1) @ X2)) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_2 @ X4 @ X5)) | ($true != (cP_4 @ X3 @ X0)) | ((cP_1 @ a @ X4) != $true) | ($true != (cP_3 @ X5 @ X3))) ) | ~spl0_3),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f102])).
% 0.15/0.42 thf(f102,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_3 @ X5 @ X3)) | ($true != (cP_2 @ X4 @ X5)) | ($true != $true) | ($true != (cP_6 @ (f @ X1) @ X2)) | ($true != (cP_4 @ X3 @ X0)) | ((cP_1 @ a @ X4) != $true) | ((cP_5 @ X0 @ X1) != $true)) ) | ~spl0_3),
% 0.15/0.42 inference(superposition,[],[f101,f38])).
% 0.15/0.42 thf(f101,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_5 @ (f @ X1) @ X2)) | ((cP_6 @ (f @ X2) @ X3) != $true) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_2 @ X4 @ X5)) | ((cP_1 @ a @ X4) != $true) | ((cP_3 @ X5 @ X0) != $true)) ) | ~spl0_3),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f100])).
% 0.15/0.42 thf(f100,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_2 @ X4 @ X5)) | ((cP_4 @ X0 @ X1) != $true) | ($true != $true) | ($true != (cP_5 @ (f @ X1) @ X2)) | ((cP_1 @ a @ X4) != $true) | ((cP_3 @ X5 @ X0) != $true) | ((cP_6 @ (f @ X2) @ X3) != $true)) ) | ~spl0_3),
% 0.15/0.42 inference(superposition,[],[f99,f25])).
% 0.15/0.42 thf(f99,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_4 @ (f @ X4) @ X2)) | ((cP_5 @ (f @ X2) @ X3) != $true) | ((cP_6 @ (f @ X3) @ X5) != $true) | ((cP_1 @ a @ X0) != $true) | ($true != (cP_3 @ X1 @ X4)) | ((cP_2 @ X0 @ X1) != $true)) ) | ~spl0_3),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f98])).
% 0.15/0.42 thf(f98,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((cP_5 @ (f @ X2) @ X3) != $true) | ((cP_6 @ (f @ X3) @ X5) != $true) | ($true != (cP_4 @ (f @ X4) @ X2)) | ($true != (cP_3 @ X1 @ X4)) | ((cP_2 @ X0 @ X1) != $true) | ((cP_1 @ a @ X0) != $true) | ($true != $true)) ) | ~spl0_3),
% 0.15/0.42 inference(superposition,[],[f97,f18])).
% 0.15/0.42 thf(f97,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_2 @ (f @ X4) @ X0)) | ((cP_1 @ a @ X4) != $true) | ((cP_5 @ (f @ X2) @ X3) != $true) | ($true != (cP_4 @ (f @ X1) @ X2)) | ((cP_3 @ X0 @ X1) != $true) | ((cP_6 @ (f @ X3) @ X5) != $true)) ) | ~spl0_3),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f96])).
% 0.15/0.42 thf(f96,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_2 @ (f @ X4) @ X0)) | ((cP_5 @ (f @ X2) @ X3) != $true) | ((cP_3 @ X0 @ X1) != $true) | ((cP_1 @ a @ X4) != $true) | ($true != $true) | ((cP_6 @ (f @ X3) @ X5) != $true) | ($true != (cP_4 @ (f @ X1) @ X2))) ) | ~spl0_3),
% 0.15/0.42 inference(superposition,[],[f95,f13])).
% 0.15/0.42 thf(f95,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_3 @ (f @ X3) @ X4)) | ($true != (cP_5 @ (f @ X1) @ X2)) | ((cP_2 @ (f @ X0) @ X3) != $true) | ((cP_1 @ a @ X0) != $true) | ($true != (cP_4 @ (f @ X4) @ X1)) | ((cP_6 @ (f @ X2) @ X5) != $true)) ) | ~spl0_3),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f94])).
% 0.15/0.42 thf(f94,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_5 @ (f @ X1) @ X2)) | ($true != (cP_3 @ (f @ X3) @ X4)) | ($true != (cP_4 @ (f @ X4) @ X1)) | ((cP_2 @ (f @ X0) @ X3) != $true) | ($true != $true) | ((cP_1 @ a @ X0) != $true) | ((cP_6 @ (f @ X2) @ X5) != $true)) ) | ~spl0_3),
% 0.15/0.42 inference(superposition,[],[f67,f43])).
% 0.15/0.42 thf(f67,plain,(
% 0.15/0.42 ( ! [X10 : $i,X11 : $i,X16 : $i,X14 : $i,X15 : $i,X12 : $i] : (($true != (cP_1 @ (f @ a) @ X10)) | ($true != (cP_5 @ (f @ X14) @ X15)) | ($true != (cP_3 @ (f @ X11) @ X12)) | ($true != (cP_6 @ (f @ X15) @ X16)) | ($true != (cP_2 @ (f @ X10) @ X11)) | ($true != (cP_4 @ (f @ X12) @ X14))) ) | ~spl0_3),
% 0.15/0.42 inference(avatar_component_clause,[],[f66])).
% 0.15/0.42 thf(f66,plain,(
% 0.15/0.42 spl0_3 <=> ! [X10,X11,X14,X12,X16,X15] : (($true != (cP_6 @ (f @ X15) @ X16)) | ($true != (cP_3 @ (f @ X11) @ X12)) | ($true != (cP_1 @ (f @ a) @ X10)) | ($true != (cP_2 @ (f @ X10) @ X11)) | ($true != (cP_4 @ (f @ X12) @ X14)) | ($true != (cP_5 @ (f @ X14) @ X15)))),
% 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.15/0.42 thf(f93,plain,(
% 0.15/0.42 ~spl0_2),
% 0.15/0.42 inference(avatar_contradiction_clause,[],[f92])).
% 0.15/0.42 thf(f92,plain,(
% 0.15/0.42 $false | ~spl0_2),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f91])).
% 0.15/0.42 thf(f91,plain,(
% 0.15/0.42 ($true != $true) | ~spl0_2),
% 0.15/0.42 inference(superposition,[],[f90,f32])).
% 0.15/0.42 thf(f32,plain,(
% 0.15/0.42 ((cP_6 @ b @ b) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f90,plain,(
% 0.15/0.42 ( ! [X0 : $i] : (($true != (cP_6 @ b @ X0))) ) | ~spl0_2),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f89])).
% 0.15/0.42 thf(f89,plain,(
% 0.15/0.42 ( ! [X0 : $i] : (($true != $true) | ($true != (cP_6 @ b @ X0))) ) | ~spl0_2),
% 0.15/0.42 inference(superposition,[],[f88,f40])).
% 0.15/0.42 thf(f40,plain,(
% 0.15/0.42 ((cP_5 @ b @ b) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f88,plain,(
% 0.15/0.42 ( ! [X0 : $i,X1 : $i] : (($true != (cP_5 @ b @ X0)) | ((cP_6 @ X0 @ X1) != $true)) ) | ~spl0_2),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f87])).
% 0.15/0.42 thf(f87,plain,(
% 0.15/0.42 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((cP_6 @ X0 @ X1) != $true) | ($true != (cP_5 @ b @ X0))) ) | ~spl0_2),
% 0.15/0.42 inference(superposition,[],[f86,f30])).
% 0.15/0.42 thf(f30,plain,(
% 0.15/0.42 ((cP_4 @ b @ b) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f86,plain,(
% 0.15/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_4 @ b @ X2)) | ((cP_6 @ X0 @ X1) != $true) | ($true != (cP_5 @ X2 @ X0))) ) | ~spl0_2),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f85])).
% 0.15/0.42 thf(f85,plain,(
% 0.15/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_5 @ X2 @ X0)) | ($true != $true) | ((cP_6 @ X0 @ X1) != $true) | ($true != (cP_4 @ b @ X2))) ) | ~spl0_2),
% 0.15/0.42 inference(superposition,[],[f84,f12])).
% 0.15/0.42 thf(f12,plain,(
% 0.15/0.42 ((cP_3 @ b @ b) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f84,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cP_3 @ b @ X0)) | ($true != (cP_6 @ X2 @ X3)) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_5 @ X1 @ X2))) ) | ~spl0_2),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f83])).
% 0.15/0.42 thf(f83,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cP_5 @ X1 @ X2)) | ((cP_4 @ X0 @ X1) != $true) | ($true != $true) | ($true != (cP_3 @ b @ X0)) | ($true != (cP_6 @ X2 @ X3))) ) | ~spl0_2),
% 0.15/0.42 inference(superposition,[],[f82,f22])).
% 0.15/0.42 thf(f22,plain,(
% 0.15/0.42 ((cP_2 @ b @ b) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f82,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_2 @ b @ X0)) | ((cP_3 @ X0 @ X1) != $true) | ($true != (cP_4 @ X1 @ X4)) | ($true != (cP_6 @ X2 @ X3)) | ((cP_5 @ X4 @ X2) != $true)) ) | ~spl0_2),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f81])).
% 0.15/0.42 thf(f81,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_5 @ X4 @ X2) != $true) | ($true != (cP_2 @ b @ X0)) | ($true != (cP_4 @ X1 @ X4)) | ((cP_3 @ X0 @ X1) != $true) | ($true != $true) | ($true != (cP_6 @ X2 @ X3))) ) | ~spl0_2),
% 0.15/0.42 inference(superposition,[],[f80,f45])).
% 0.15/0.42 thf(f45,plain,(
% 0.15/0.42 ((cP_1 @ b @ b) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f80,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_1 @ b @ X2)) | ((cP_2 @ X2 @ X3) != $true) | ($true != (cP_3 @ X3 @ X4)) | ((cP_6 @ X0 @ X1) != $true) | ($true != (cP_4 @ X4 @ X5)) | ($true != (cP_5 @ X5 @ X0))) ) | ~spl0_2),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f79])).
% 0.15/0.42 thf(f79,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((cP_6 @ X0 @ X1) != $true) | ($true != (cP_5 @ X5 @ X0)) | ($true != (cP_4 @ X4 @ X5)) | ($true != (cP_1 @ b @ X2)) | ($true != (cP_3 @ X3 @ X4)) | ($true != $true) | ((cP_2 @ X2 @ X3) != $true)) ) | ~spl0_2),
% 0.15/0.42 inference(superposition,[],[f78,f21])).
% 0.15/0.42 thf(f78,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_6 @ (f @ X1) @ X5)) | ((cP_2 @ X2 @ X3) != $true) | ($true != (cP_3 @ X3 @ X4)) | ($true != (cP_1 @ b @ X2)) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_4 @ X4 @ X0))) ) | ~spl0_2),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f77])).
% 0.15/0.42 thf(f77,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((cP_5 @ X0 @ X1) != $true) | ($true != (cP_3 @ X3 @ X4)) | ($true != (cP_6 @ (f @ X1) @ X5)) | ($true != (cP_4 @ X4 @ X0)) | ($true != (cP_1 @ b @ X2)) | ($true != $true) | ((cP_2 @ X2 @ X3) != $true)) ) | ~spl0_2),
% 0.15/0.42 inference(superposition,[],[f76,f38])).
% 0.15/0.42 thf(f76,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_5 @ (f @ X1) @ X2)) | ($true != (cP_1 @ b @ X3)) | ($true != (cP_2 @ X3 @ X4)) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_3 @ X4 @ X0)) | ((cP_6 @ (f @ X2) @ X5) != $true)) ) | ~spl0_2),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f75])).
% 0.15/0.42 thf(f75,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((cP_6 @ (f @ X2) @ X5) != $true) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_3 @ X4 @ X0)) | ($true != (cP_2 @ X3 @ X4)) | ($true != $true) | ($true != (cP_5 @ (f @ X1) @ X2)) | ($true != (cP_1 @ b @ X3))) ) | ~spl0_2),
% 0.15/0.42 inference(superposition,[],[f74,f25])).
% 0.15/0.42 thf(f74,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_4 @ (f @ X1) @ X3)) | ((cP_5 @ (f @ X3) @ X4) != $true) | ($true != (cP_1 @ b @ X2)) | ((cP_2 @ X2 @ X0) != $true) | ((cP_3 @ X0 @ X1) != $true) | ($true != (cP_6 @ (f @ X4) @ X5))) ) | ~spl0_2),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f73])).
% 0.15/0.42 thf(f73,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((cP_3 @ X0 @ X1) != $true) | ((cP_2 @ X2 @ X0) != $true) | ($true != $true) | ($true != (cP_6 @ (f @ X4) @ X5)) | ((cP_5 @ (f @ X3) @ X4) != $true) | ($true != (cP_1 @ b @ X2)) | ($true != (cP_4 @ (f @ X1) @ X3))) ) | ~spl0_2),
% 0.15/0.42 inference(superposition,[],[f72,f13])).
% 0.15/0.42 thf(f72,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_3 @ (f @ X1) @ X2)) | ((cP_2 @ X0 @ X1) != $true) | ($true != (cP_4 @ (f @ X2) @ X3)) | ((cP_1 @ b @ X0) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ($true != (cP_6 @ (f @ X4) @ X5))) ) | ~spl0_2),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f71])).
% 0.15/0.42 thf(f71,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_4 @ (f @ X2) @ X3)) | ((cP_2 @ X0 @ X1) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_1 @ b @ X0) != $true) | ($true != $true) | ($true != (cP_6 @ (f @ X4) @ X5)) | ($true != (cP_3 @ (f @ X1) @ X2))) ) | ~spl0_2),
% 0.15/0.42 inference(superposition,[],[f70,f18])).
% 0.15/0.42 thf(f70,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != (cP_2 @ (f @ X0) @ X4)) | ($true != (cP_4 @ (f @ X1) @ X2)) | ((cP_1 @ b @ X0) != $true) | ((cP_5 @ (f @ X2) @ X3) != $true) | ($true != (cP_3 @ (f @ X4) @ X1)) | ((cP_6 @ (f @ X3) @ X5) != $true)) ) | ~spl0_2),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f69])).
% 0.15/0.42 thf(f69,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true != $true) | ((cP_6 @ (f @ X3) @ X5) != $true) | ($true != (cP_2 @ (f @ X0) @ X4)) | ((cP_1 @ b @ X0) != $true) | ($true != (cP_4 @ (f @ X1) @ X2)) | ($true != (cP_3 @ (f @ X4) @ X1)) | ((cP_5 @ (f @ X2) @ X3) != $true)) ) | ~spl0_2),
% 0.15/0.42 inference(superposition,[],[f64,f43])).
% 0.15/0.42 thf(f64,plain,(
% 0.15/0.42 ( ! [X3 : $i,X6 : $i,X9 : $i,X4 : $i,X5 : $i,X13 : $i] : (($true != (cP_1 @ (f @ b) @ X13)) | ($true != (cP_4 @ (f @ X5) @ X6)) | ($true != (cP_5 @ (f @ X6) @ X3)) | ((cP_2 @ (f @ X13) @ X9) != $true) | ($true != (cP_6 @ (f @ X3) @ X4)) | ($true != (cP_3 @ (f @ X9) @ X5))) ) | ~spl0_2),
% 0.15/0.42 inference(avatar_component_clause,[],[f63])).
% 0.15/0.42 thf(f63,plain,(
% 0.15/0.42 spl0_2 <=> ! [X5,X4,X9,X13,X6,X3] : (($true != (cP_4 @ (f @ X5) @ X6)) | ($true != (cP_6 @ (f @ X3) @ X4)) | ($true != (cP_5 @ (f @ X6) @ X3)) | ($true != (cP_1 @ (f @ b) @ X13)) | ($true != (cP_3 @ (f @ X9) @ X5)) | ((cP_2 @ (f @ X13) @ X9) != $true))),
% 0.15/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.15/0.42 thf(f68,plain,(
% 0.15/0.42 spl0_1 | spl0_2 | spl0_3),
% 0.15/0.42 inference(avatar_split_clause,[],[f58,f66,f63,f60])).
% 0.15/0.42 thf(f58,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X16 : $i,X14 : $i,X7 : $i,X4 : $i,X17 : $i,X15 : $i,X5 : $i,X12 : $i,X13 : $i] : (($true != (cP_6 @ (f @ X15) @ X16)) | ($true != (cP_4 @ (f @ X5) @ X6)) | ($true != (cP_4 @ (f @ X12) @ X14)) | ($true != (cP_1 @ (f @ a) @ X10)) | ($true != (cP_1 @ (f @ c) @ X0)) | ($true != (cP_3 @ (f @ X11) @ X12)) | ($true != (cP_5 @ (f @ X1) @ X2)) | ((cP_6 @ (f @ X2) @ X17) != $true) | ($true != (cP_2 @ (f @ X0) @ X7)) | ((cP_4 @ (f @ X8) @ X1) != $true) | ($true != (cP_5 @ (f @ X14) @ X15)) | ($true != (cP_1 @ (f @ b) @ X13)) | ($true != (cP_5 @ (f @ X6) @ X3)) | ((cP_2 @ (f @ X13) @ X9) != $true) | ($true != (cP_3 @ (f @ X7) @ X8)) | ($true != (cP_6 @ (f @ X3) @ X4)) | ($true != (cP_2 @ (f @ X10) @ X11)) | ($true != (cP_3 @ (f @ X9) @ X5))) )),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f57])).
% 0.15/0.42 thf(f57,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X14 : $i,X4 : $i,X16 : $i,X17 : $i,X15 : $i,X5 : $i,X12 : $i,X13 : $i] : (($true != (cP_4 @ (f @ X5) @ X6)) | ($true != (cP_3 @ (f @ X7) @ X8)) | ($true != (cP_3 @ (f @ X9) @ X5)) | ($true != (cP_5 @ (f @ X6) @ X3)) | ($true != (cP_2 @ (f @ X10) @ X11)) | ($true != (cP_5 @ (f @ X1) @ X2)) | ((cP_4 @ (f @ X8) @ X1) != $true) | ($true != (cP_5 @ (f @ X14) @ X15)) | ($true != (cP_1 @ (f @ a) @ X10)) | ($true != $true) | ($true != (cP_2 @ (f @ X0) @ X7)) | ($true != (cP_6 @ (f @ X3) @ X4)) | ($true != (cP_6 @ (f @ X15) @ X16)) | ($true != (cP_1 @ (f @ b) @ X13)) | ((cP_6 @ (f @ X2) @ X17) != $true) | ($true != (cP_3 @ (f @ X11) @ X12)) | ((cP_2 @ (f @ X13) @ X9) != $true) | ($true != (cP_4 @ (f @ X12) @ X14)) | ($true != (cP_1 @ (f @ c) @ X0))) )),
% 0.15/0.42 inference(superposition,[],[f56,f9])).
% 0.15/0.42 thf(f9,plain,(
% 0.15/0.42 ((cQ_1 @ a @ b @ c) = $true)),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f56,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X18 : $i,X8 : $i,X19 : $i,X9 : $i,X6 : $i,X14 : $i,X1 : $i,X4 : $i,X7 : $i,X16 : $i,X17 : $i,X15 : $i,X5 : $i,X12 : $i,X13 : $i,X20 : $i] : (((cQ_1 @ X19 @ X18 @ X20) != $true) | ($true != (cP_1 @ (f @ X20) @ X2)) | ($true != (cP_5 @ (f @ X10) @ X11)) | ($true != (cP_6 @ (f @ X12) @ X13)) | ($true != (cP_4 @ (f @ X8) @ X9)) | ($true != (cP_3 @ (f @ X15) @ X14)) | ((cP_2 @ (f @ X2) @ X15) != $true) | ($true != (cP_3 @ (f @ X5) @ X8)) | ($true != (cP_2 @ (f @ X0) @ X6)) | ((cP_3 @ (f @ X6) @ X3) != $true) | ($true != (cP_2 @ (f @ X1) @ X5)) | ($true != (cP_5 @ (f @ X4) @ X7)) | ($true != (cP_5 @ (f @ X9) @ X12)) | ((cP_6 @ (f @ X7) @ X16) != $true) | ((cP_4 @ (f @ X14) @ X10) != $true) | ($true != (cP_1 @ (f @ X19) @ X0)) | ($true != (cP_1 @ (f @ X18) @ X1)) | ($true != (cP_4 @ (f @ X3) @ X4)) | ((cP_6 @ (f @ X11) @ X17) != $true)) )),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f55])).
% 0.15/0.42 thf(f55,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X18 : $i,X8 : $i,X6 : $i,X9 : $i,X1 : $i,X14 : $i,X4 : $i,X7 : $i,X16 : $i,X19 : $i,X17 : $i,X15 : $i,X5 : $i,X12 : $i,X13 : $i,X20 : $i] : (((cP_2 @ (f @ X2) @ X15) != $true) | ($true != (cP_2 @ (f @ X0) @ X6)) | ($true != (cP_4 @ (f @ X8) @ X9)) | ($true != $true) | ($true != (cP_3 @ (f @ X5) @ X8)) | ($true != (cP_1 @ (f @ X18) @ X1)) | ((cP_4 @ (f @ X14) @ X10) != $true) | ($true != (cP_1 @ (f @ X20) @ X2)) | ($true != (cP_5 @ (f @ X10) @ X11)) | ($true != (cP_4 @ (f @ X3) @ X4)) | ((cP_6 @ (f @ X7) @ X16) != $true) | ($true != (cP_1 @ (f @ X19) @ X0)) | ($true != (cP_3 @ (f @ X15) @ X14)) | ($true != (cP_5 @ (f @ X9) @ X12)) | ((cP_3 @ (f @ X6) @ X3) != $true) | ($true != (cP_6 @ (f @ X12) @ X13)) | ($true != (cP_2 @ (f @ X1) @ X5)) | ((cQ_1 @ X19 @ X18 @ X20) != $true) | ((cP_6 @ (f @ X11) @ X17) != $true) | ($true != (cP_5 @ (f @ X4) @ X7))) )),
% 0.15/0.42 inference(superposition,[],[f54,f24])).
% 0.15/0.42 thf(f24,plain,(
% 0.15/0.42 ( ! [X28 : $i,X29 : $i,X26 : $i,X27 : $i,X24 : $i,X25 : $i] : (($true = (cQ_2 @ X24 @ X29 @ X28)) | ((cP_1 @ (f @ X27) @ X29) != $true) | ($true != (cP_1 @ (f @ X25) @ X24)) | ($true != (cQ_1 @ X25 @ X27 @ X26)) | ((cP_1 @ (f @ X26) @ X28) != $true)) )),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f54,plain,(
% 0.15/0.42 ( ! [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_2 @ X15 @ X17 @ X16) != $true) | ((cP_4 @ (f @ X11) @ X12) != $true) | ($true != (cP_2 @ (f @ X17) @ X1)) | ($true != (cP_2 @ (f @ X15) @ X0)) | ((cP_5 @ (f @ X12) @ X7) != $true) | ($true != (cP_4 @ (f @ X3) @ X4)) | ($true != (cP_5 @ (f @ X9) @ X10)) | ($true != (cP_6 @ (f @ X5) @ X6)) | ($true != (cP_4 @ (f @ X13) @ X9)) | ((cP_3 @ (f @ X0) @ X11) != $true) | ((cP_2 @ (f @ X16) @ X2) != $true) | ($true != (cP_5 @ (f @ X4) @ X5)) | ($true != (cP_3 @ (f @ X1) @ X3)) | ($true != (cP_6 @ (f @ X7) @ X8)) | ($true != (cP_3 @ (f @ X2) @ X13)) | ((cP_6 @ (f @ X10) @ X14) != $true)) )),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f53])).
% 0.15/0.42 thf(f53,plain,(
% 0.15/0.42 ( ! [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_2 @ X15 @ X17 @ X16) != $true) | ($true != (cP_6 @ (f @ X5) @ X6)) | ($true != (cP_5 @ (f @ X9) @ X10)) | ($true != (cP_5 @ (f @ X4) @ X5)) | ($true != (cP_3 @ (f @ X2) @ X13)) | ((cP_5 @ (f @ X12) @ X7) != $true) | ($true != (cP_2 @ (f @ X15) @ X0)) | ((cP_6 @ (f @ X10) @ X14) != $true) | ($true != (cP_2 @ (f @ X17) @ X1)) | ((cP_3 @ (f @ X0) @ X11) != $true) | ((cP_4 @ (f @ X11) @ X12) != $true) | ($true != (cP_3 @ (f @ X1) @ X3)) | ($true != (cP_4 @ (f @ X13) @ X9)) | ($true != (cP_6 @ (f @ X7) @ X8)) | ($true != (cP_4 @ (f @ X3) @ X4)) | ((cP_2 @ (f @ X16) @ X2) != $true) | ($true != $true)) )),
% 0.15/0.42 inference(superposition,[],[f52,f14])).
% 0.15/0.42 thf(f14,plain,(
% 0.15/0.42 ( ! [X40 : $i,X38 : $i,X41 : $i,X39 : $i,X37 : $i,X42 : $i] : (((cQ_3 @ X38 @ X37 @ X42) = $true) | ($true != (cP_2 @ (f @ X39) @ X38)) | ($true != (cP_2 @ (f @ X40) @ X42)) | ($true != (cP_2 @ (f @ X41) @ X37)) | ((cQ_2 @ X39 @ X41 @ X40) != $true)) )),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f52,plain,(
% 0.15/0.42 ( ! [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)) | ((cP_4 @ (f @ X1) @ X6) != $true) | ($true != (cP_6 @ (f @ X3) @ X4)) | ($true != (cP_6 @ (f @ X7) @ X8)) | ($true != (cP_5 @ (f @ X9) @ X10)) | ($true != (cP_4 @ (f @ X0) @ X5)) | ((cP_3 @ (f @ X14) @ X2) != $true) | ($true != (cP_5 @ (f @ X5) @ X7)) | ($true != (cP_6 @ (f @ X10) @ X11)) | ($true != (cP_3 @ (f @ X13) @ X1)) | ($true != (cP_4 @ (f @ X2) @ X9)) | ($true != (cP_3 @ (f @ X12) @ X0)) | ($true != (cP_5 @ (f @ X6) @ X3))) )),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f51])).
% 0.15/0.42 thf(f51,plain,(
% 0.15/0.42 ( ! [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 @ X3) @ X4)) | ($true != (cP_5 @ (f @ X5) @ X7)) | ($true != (cP_5 @ (f @ X6) @ X3)) | ($true != (cQ_3 @ X12 @ X13 @ X14)) | ($true != (cP_5 @ (f @ X9) @ X10)) | ((cP_3 @ (f @ X14) @ X2) != $true) | ($true != $true) | ($true != (cP_4 @ (f @ X2) @ X9)) | ($true != (cP_3 @ (f @ X12) @ X0)) | ($true != (cP_6 @ (f @ X10) @ X11)) | ((cP_4 @ (f @ X1) @ X6) != $true) | ($true != (cP_4 @ (f @ X0) @ X5)) | ($true != (cP_6 @ (f @ X7) @ X8)) | ($true != (cP_3 @ (f @ X13) @ X1))) )),
% 0.15/0.42 inference(superposition,[],[f50,f11])).
% 0.15/0.42 thf(f11,plain,(
% 0.15/0.42 ( ! [X50 : $i,X48 : $i,X46 : $i,X49 : $i,X47 : $i,X45 : $i] : (($true = (cQ_4 @ X50 @ X49 @ X46)) | ($true != (cQ_3 @ X47 @ X48 @ X45)) | ((cP_3 @ (f @ X48) @ X49) != $true) | ((cP_3 @ (f @ X47) @ X50) != $true) | ($true != (cP_3 @ (f @ X45) @ X46))) )),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f50,plain,(
% 0.15/0.42 ( ! [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 @ X10 @ X9 @ X11)) | ($true != (cP_6 @ (f @ X3) @ X7)) | ($true != (cP_4 @ (f @ X10) @ X0)) | ($true != (cP_4 @ (f @ X9) @ X1)) | ($true != (cP_6 @ (f @ X5) @ X6)) | ($true != (cP_4 @ (f @ X11) @ X2)) | ($true != (cP_5 @ (f @ X0) @ X5)) | ($true != (cP_6 @ (f @ X4) @ X8)) | ($true != (cP_5 @ (f @ X2) @ X4)) | ($true != (cP_5 @ (f @ X1) @ X3))) )),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f49])).
% 0.15/0.42 thf(f49,plain,(
% 0.15/0.42 ( ! [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) @ X0)) | ($true != (cP_4 @ (f @ X11) @ X2)) | ($true != $true) | ($true != (cP_5 @ (f @ X0) @ X5)) | ($true != (cQ_4 @ X10 @ X9 @ X11)) | ($true != (cP_5 @ (f @ X2) @ X4)) | ($true != (cP_4 @ (f @ X9) @ X1)) | ($true != (cP_6 @ (f @ X5) @ X6)) | ($true != (cP_6 @ (f @ X3) @ X7)) | ($true != (cP_5 @ (f @ X1) @ X3)) | ($true != (cP_6 @ (f @ X4) @ X8))) )),
% 0.15/0.42 inference(superposition,[],[f48,f42])).
% 0.15/0.42 thf(f42,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($true = (cQ_5 @ X7 @ X4 @ X3)) | ($true != (cP_4 @ (f @ X6) @ X4)) | ($true != (cQ_4 @ X2 @ X6 @ X5)) | ($true != (cP_4 @ (f @ X2) @ X7)) | ((cP_4 @ (f @ X5) @ X3) != $true)) )),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f48,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cQ_5 @ X6 @ X8 @ X7) != $true) | ((cP_5 @ (f @ X8) @ X1) != $true) | ($true != (cP_5 @ (f @ X7) @ X2)) | ($true != (cP_6 @ (f @ X0) @ X5)) | ($true != (cP_6 @ (f @ X1) @ X3)) | ((cP_5 @ (f @ X6) @ X0) != $true) | ($true != (cP_6 @ (f @ X2) @ X4))) )),
% 0.15/0.42 inference(trivial_inequality_removal,[],[f47])).
% 0.15/0.42 thf(f47,plain,(
% 0.15/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cP_5 @ (f @ X8) @ X1) != $true) | ($true != (cP_6 @ (f @ X2) @ X4)) | ($true != $true) | ($true != (cP_6 @ (f @ X0) @ X5)) | ($true != (cP_5 @ (f @ X7) @ X2)) | ((cQ_5 @ X6 @ X8 @ X7) != $true) | ($true != (cP_6 @ (f @ X1) @ X3)) | ((cP_5 @ (f @ X6) @ X0) != $true)) )),
% 0.15/0.42 inference(superposition,[],[f46,f8])).
% 0.15/0.42 thf(f8,plain,(
% 0.15/0.42 ( ! [X51 : $i,X56 : $i,X54 : $i,X55 : $i,X52 : $i,X53 : $i] : (($true = (cQ_6 @ X51 @ X52 @ X55)) | ($true != (cP_5 @ (f @ X54) @ X51)) | ($true != (cP_5 @ (f @ X56) @ X55)) | ((cQ_5 @ X54 @ X53 @ X56) != $true) | ($true != (cP_5 @ (f @ X53) @ X52))) )),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f46,plain,(
% 0.15/0.42 ( ! [X18 : $i,X19 : $i,X16 : $i,X14 : $i,X17 : $i,X15 : $i] : (($true != (cQ_6 @ X14 @ X16 @ X18)) | ($true != (cP_6 @ (f @ X16) @ X19)) | ($true != (cP_6 @ (f @ X18) @ X17)) | ($true != (cP_6 @ (f @ X14) @ X15))) )),
% 0.15/0.42 inference(subsumption_resolution,[],[f31,f37])).
% 0.15/0.42 thf(f37,plain,(
% 0.15/0.42 ( ! [X10 : $i,X11 : $i,X12 : $i] : (((cQ_7 @ X12 @ X11 @ X10) != $true)) )),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 thf(f31,plain,(
% 0.15/0.42 ( ! [X18 : $i,X19 : $i,X16 : $i,X14 : $i,X17 : $i,X15 : $i] : (($true != (cP_6 @ (f @ X16) @ X19)) | ($true != (cP_6 @ (f @ X14) @ X15)) | ($true = (cQ_7 @ X15 @ X19 @ X17)) | ($true != (cQ_6 @ X14 @ X16 @ X18)) | ($true != (cP_6 @ (f @ X18) @ X17))) )),
% 0.15/0.42 inference(cnf_transformation,[],[f7])).
% 0.15/0.42 % SZS output end Proof for theBenchmark
% 0.15/0.42 % (29719)------------------------------
% 0.15/0.42 % (29719)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (29719)Termination reason: Refutation
% 0.15/0.42
% 0.15/0.42 % (29719)Memory used [KB]: 6012
% 0.15/0.42 % (29719)Time elapsed: 0.046 s
% 0.15/0.42 % (29719)Instructions burned: 56 (million)
% 0.15/0.42 % (29719)------------------------------
% 0.15/0.42 % (29719)------------------------------
% 0.15/0.42 % (29718)Success in time 0.065 s
% 0.15/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------