TSTP Solution File: SYO388^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO388^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n012.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 09:04:15 EDT 2024
% Result : Theorem 0.20s 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO388^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 08:32:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.13/0.35 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/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % (2354)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37 % (2355)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)
% 0.13/0.37 % (2356)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)
% 0.13/0.37 % (2357)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (2358)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)
% 0.13/0.37 % (2361)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)
% 0.13/0.37 % (2359)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)
% 0.13/0.37 % (2357)Instruction limit reached!
% 0.13/0.37 % (2357)------------------------------
% 0.13/0.37 % (2357)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (2357)Termination reason: Unknown
% 0.13/0.37 % (2357)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (2357)Memory used [KB]: 1023
% 0.13/0.37 % (2357)Time elapsed: 0.003 s
% 0.13/0.37 % (2357)Instructions burned: 2 (million)
% 0.13/0.37 % (2357)------------------------------
% 0.13/0.37 % (2357)------------------------------
% 0.13/0.37 % (2358)Instruction limit reached!
% 0.13/0.37 % (2358)------------------------------
% 0.13/0.37 % (2358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (2358)Termination reason: Unknown
% 0.13/0.37 % (2358)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (2358)Memory used [KB]: 1023
% 0.13/0.37 % (2358)Time elapsed: 0.003 s
% 0.13/0.37 % (2358)Instructions burned: 2 (million)
% 0.13/0.37 % (2358)------------------------------
% 0.13/0.37 % (2358)------------------------------
% 0.13/0.37 % (2355)Instruction limit reached!
% 0.13/0.37 % (2355)------------------------------
% 0.13/0.37 % (2355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (2355)Termination reason: Unknown
% 0.13/0.37 % (2355)Termination phase: Naming
% 0.13/0.37
% 0.13/0.37 % (2355)Memory used [KB]: 1023
% 0.13/0.37 % (2355)Time elapsed: 0.004 s
% 0.13/0.37 % (2355)Instructions burned: 4 (million)
% 0.13/0.37 % (2355)------------------------------
% 0.13/0.37 % (2355)------------------------------
% 0.13/0.37 % (2361)Instruction limit reached!
% 0.13/0.37 % (2361)------------------------------
% 0.13/0.37 % (2361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (2361)Termination reason: Unknown
% 0.13/0.37 % (2361)Termination phase: Unused predicate definition removal
% 0.13/0.37
% 0.13/0.37 % (2361)Memory used [KB]: 1023
% 0.13/0.37 % (2361)Time elapsed: 0.004 s
% 0.13/0.37 % (2361)Instructions burned: 4 (million)
% 0.13/0.37 % (2361)------------------------------
% 0.13/0.37 % (2361)------------------------------
% 0.13/0.38 % (2360)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.39 % (2362)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)
% 0.13/0.39 % (2364)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)
% 0.13/0.39 % (2365)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)
% 0.13/0.39 % (2356)Instruction limit reached!
% 0.13/0.39 % (2356)------------------------------
% 0.13/0.39 % (2356)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (2356)Termination reason: Unknown
% 0.13/0.39 % (2356)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (2356)Memory used [KB]: 5756
% 0.13/0.39 % (2356)Time elapsed: 0.020 s
% 0.13/0.39 % (2356)Instructions burned: 27 (million)
% 0.13/0.39 % (2356)------------------------------
% 0.13/0.39 % (2356)------------------------------
% 0.13/0.39 % (2364)Instruction limit reached!
% 0.13/0.39 % (2364)------------------------------
% 0.13/0.39 % (2364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (2364)Termination reason: Unknown
% 0.13/0.39 % (2364)Termination phase: Preprocessing 3
% 0.13/0.39
% 0.13/0.39 % (2364)Memory used [KB]: 1023
% 0.13/0.39 % (2364)Time elapsed: 0.004 s
% 0.13/0.39 % (2364)Instructions burned: 4 (million)
% 0.13/0.39 % (2364)------------------------------
% 0.13/0.39 % (2364)------------------------------
% 0.13/0.39 % (2359)First to succeed.
% 0.13/0.40 % (2360)Instruction limit reached!
% 0.13/0.40 % (2360)------------------------------
% 0.13/0.40 % (2360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (2360)Termination reason: Unknown
% 0.13/0.40 % (2360)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (2360)Memory used [KB]: 5628
% 0.13/0.40 % (2360)Time elapsed: 0.014 s
% 0.13/0.40 % (2360)Instructions burned: 19 (million)
% 0.13/0.40 % (2360)------------------------------
% 0.13/0.40 % (2360)------------------------------
% 0.20/0.40 % (2363)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)
% 0.20/0.40 % (2354)Also succeeded, but the first one will report.
% 0.20/0.40 % (2359)Refutation found. Thanks to Tanya!
% 0.20/0.40 % SZS status Theorem for theBenchmark
% 0.20/0.40 % SZS output start Proof for theBenchmark
% 0.20/0.40 thf(func_def_0, type, cQ_6: $i > $i > $i > $o).
% 0.20/0.40 thf(func_def_1, type, f: $i > $i).
% 0.20/0.40 thf(func_def_2, type, cP_5: $i > $i > $o).
% 0.20/0.40 thf(func_def_3, type, cQ_5: $i > $i > $i > $o).
% 0.20/0.40 thf(func_def_8, type, cP_4: $i > $i > $o).
% 0.20/0.40 thf(func_def_9, type, cQ_4: $i > $i > $i > $o).
% 0.20/0.40 thf(func_def_10, type, cP_3: $i > $i > $o).
% 0.20/0.40 thf(func_def_11, type, cQ_3: $i > $i > $i > $o).
% 0.20/0.40 thf(func_def_12, type, cP_2: $i > $i > $o).
% 0.20/0.40 thf(func_def_13, type, cQ_2: $i > $i > $i > $o).
% 0.20/0.40 thf(func_def_14, type, cP_1: $i > $i > $o).
% 0.20/0.40 thf(func_def_15, type, cQ_1: $i > $i > $i > $o).
% 0.20/0.40 thf(f156,plain,(
% 0.20/0.40 $false),
% 0.20/0.40 inference(avatar_sat_refutation,[],[f60,f81,f133,f150,f155])).
% 0.20/0.40 thf(f155,plain,(
% 0.20/0.40 ~spl0_8),
% 0.20/0.40 inference(avatar_contradiction_clause,[],[f154])).
% 0.20/0.40 thf(f154,plain,(
% 0.20/0.40 $false | ~spl0_8),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f153])).
% 0.20/0.40 thf(f153,plain,(
% 0.20/0.40 ($true != $true) | ~spl0_8),
% 0.20/0.40 inference(superposition,[],[f152,f19])).
% 0.20/0.40 thf(f19,plain,(
% 0.20/0.40 ((cP_5 @ b @ b) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f7,plain,(
% 0.20/0.40 ((cP_1 @ c @ c) = $true) & ((cP_3 @ c @ c) = $true) & ((cP_5 @ a @ a) = $true) & ! [X0,X1,X2,X3,X4,X5] : (((cP_3 @ (f @ X0) @ X3) != $true) | ((cP_3 @ (f @ X2) @ X1) != $true) | ((cP_3 @ (f @ X5) @ X4) != $true) | ((cQ_3 @ X2 @ X5 @ X0) != $true) | ((cQ_4 @ X1 @ X4 @ X3) = $true)) & ((cP_4 @ c @ c) = $true) & ! [X6] : ((cP_4 @ d @ X6) = $true) & ! [X7,X8] : (((cP_5 @ X8 @ X7) != $true) | ((cP_5 @ (f @ X8) @ X7) = $true)) & ! [X9] : ((cP_5 @ d @ X9) = $true) & ! [X10] : ((cP_1 @ d @ X10) = $true) & ((cP_2 @ b @ b) = $true) & ! [X11,X12] : (((cP_3 @ X11 @ X12) != $true) | ((cP_3 @ (f @ X11) @ X12) = $true)) & ! [X13] : ((cP_3 @ d @ X13) = $true) & ! [X14] : ((cP_2 @ d @ X14) = $true) & ((cP_4 @ a @ a) = $true) & ((cP_1 @ b @ b) = $true) & ((cQ_1 @ a @ b @ c) = $true) & ((cP_5 @ c @ c) = $true) & ! [X15,X16] : (((cP_2 @ X15 @ X16) != $true) | ((cP_2 @ (f @ X15) @ X16) = $true)) & ! [X17,X18,X19,X20,X21,X22] : (((cP_5 @ (f @ X22) @ X18) != $true) | ($true != (cP_5 @ (f @ X21) @ X19)) | ((cP_5 @ (f @ X20) @ X17) != $true) | ((cQ_6 @ X19 @ X17 @ X18) = $true) | ((cQ_5 @ X21 @ X20 @ X22) != $true)) & ! [X23,X24,X25,X26,X27,X28] : (((cQ_1 @ X23 @ X25 @ X24) != $true) | ($true != (cP_1 @ (f @ X24) @ X26)) | ((cQ_2 @ X27 @ X28 @ X26) = $true) | ($true != (cP_1 @ (f @ X23) @ X27)) | ((cP_1 @ (f @ X25) @ X28) != $true)) & ((cP_5 @ b @ b) = $true) & ((cP_2 @ c @ c) = $true) & ((cP_1 @ a @ a) = $true) & ! [X29,X30] : (((cP_1 @ X29 @ X30) != $true) | ((cP_1 @ (f @ X29) @ X30) = $true)) & ! [X31,X32,X33,X34,X35,X36] : (((cQ_3 @ X32 @ X34 @ X35) = $true) | ((cP_2 @ (f @ X33) @ X32) != $true) | ((cP_2 @ (f @ X36) @ X34) != $true) | ((cQ_2 @ X33 @ X36 @ X31) != $true) | ((cP_2 @ (f @ X31) @ X35) != $true)) & ((cP_4 @ b @ b) = $true) & ! [X37,X38] : (((cP_4 @ (f @ X38) @ X37) = $true) | ($true != (cP_4 @ X38 @ X37))) & ! [X39,X40,X41,X42,X43,X44] : (($true != (cP_4 @ (f @ X43) @ X44)) | ((cP_4 @ (f @ X42) @ X41) != $true) | ((cQ_4 @ X42 @ X43 @ X40) != $true) | ((cP_4 @ (f @ X40) @ X39) != $true) | ((cQ_5 @ X41 @ X44 @ X39) = $true)) & ((cP_3 @ b @ b) = $true) & ((cP_3 @ a @ a) = $true) & ((cP_2 @ a @ a) = $true) & ! [X45,X46,X47] : ((cQ_6 @ X47 @ X45 @ X46) != $true)),
% 0.20/0.40 inference(rectify,[],[f6])).
% 0.20/0.40 thf(f6,plain,(
% 0.20/0.40 ((cP_1 @ c @ c) = $true) & ((cP_3 @ c @ c) = $true) & ((cP_5 @ a @ a) = $true) & ! [X46,X43,X44,X47,X42,X45] : (((cP_3 @ (f @ X46) @ X47) != $true) | ((cP_3 @ (f @ X44) @ X43) != $true) | ((cP_3 @ (f @ X45) @ X42) != $true) | ($true != (cQ_3 @ X44 @ X45 @ X46)) | ((cQ_4 @ X43 @ X42 @ X47) = $true)) & ((cP_4 @ c @ c) = $true) & ! [X8] : ((cP_4 @ d @ X8) = $true) & ! [X16,X15] : (((cP_5 @ X15 @ X16) != $true) | ((cP_5 @ (f @ X15) @ X16) = $true)) & ! [X6] : ((cP_5 @ d @ X6) = $true) & ! [X41] : ((cP_1 @ d @ X41) = $true) & ((cP_2 @ b @ b) = $true) & ! [X12,X11] : (((cP_3 @ X12 @ X11) != $true) | ((cP_3 @ (f @ X12) @ X11) = $true)) & ! [X7] : ((cP_3 @ d @ X7) = $true) & ! [X2] : ((cP_2 @ d @ X2) = $true) & ((cP_4 @ a @ a) = $true) & ((cP_1 @ b @ b) = $true) & ((cQ_1 @ a @ b @ c) = $true) & ((cP_5 @ c @ c) = $true) & ! [X14,X13] : (((cP_2 @ X14 @ X13) != $true) | ((cP_2 @ (f @ X14) @ X13) = $true)) & ! [X35,X38,X37,X36,X40,X39] : (((cP_5 @ (f @ X39) @ X38) != $true) | ((cP_5 @ (f @ X40) @ X37) != $true) | ((cP_5 @ (f @ X36) @ X35) != $true) | ((cQ_6 @ X37 @ X35 @ X38) = $true) | ((cQ_5 @ X40 @ X36 @ X39) != $true)) & ! [X33,X34,X30,X31,X32,X29] : (($true != (cQ_1 @ X33 @ X30 @ X34)) | ((cP_1 @ (f @ X34) @ X31) != $true) | ((cQ_2 @ X32 @ X29 @ X31) = $true) | ((cP_1 @ (f @ X33) @ X32) != $true) | ((cP_1 @ (f @ X30) @ X29) != $true)) & ((cP_5 @ b @ b) = $true) & ((cP_2 @ c @ c) = $true) & ((cP_1 @ a @ a) = $true) & ! [X0,X1] : (((cP_1 @ X0 @ X1) != $true) | ((cP_1 @ (f @ X0) @ X1) = $true)) & ! [X17,X19,X21,X20,X18,X22] : (((cQ_3 @ X19 @ X20 @ X18) = $true) | ((cP_2 @ (f @ X21) @ X19) != $true) | ($true != (cP_2 @ (f @ X22) @ X20)) | ($true != (cQ_2 @ X21 @ X22 @ X17)) | ((cP_2 @ (f @ X17) @ X18) != $true)) & ((cP_4 @ b @ b) = $true) & ! [X9,X10] : (((cP_4 @ (f @ X10) @ X9) = $true) | ((cP_4 @ X10 @ X9) != $true)) & ! [X24,X23,X26,X27,X25,X28] : (((cP_4 @ (f @ X25) @ X28) != $true) | ((cP_4 @ (f @ X27) @ X26) != $true) | ((cQ_4 @ X27 @ X25 @ X23) != $true) | ((cP_4 @ (f @ X23) @ X24) != $true) | ((cQ_5 @ X26 @ X28 @ X24) = $true)) & ((cP_3 @ b @ b) = $true) & ((cP_3 @ a @ a) = $true) & ((cP_2 @ a @ a) = $true) & ! [X5,X4,X3] : ((cQ_6 @ X3 @ X5 @ X4) != $true)),
% 0.20/0.40 inference(flattening,[],[f5])).
% 0.20/0.40 thf(f5,plain,(
% 0.20/0.40 ~~(((cP_1 @ a @ a) = $true) & ! [X0,X1] : (~((cP_1 @ X0 @ X1) = $true) | ((cP_1 @ (f @ X0) @ X1) = $true)) & ((cP_3 @ c @ c) = $true) & ((cP_4 @ a @ a) = $true) & ((cP_1 @ c @ c) = $true) & ! [X2] : ((cP_2 @ d @ X2) = $true) & ((cQ_1 @ a @ b @ c) = $true) & ! [X3,X4,X5] : ~((cQ_6 @ X3 @ X5 @ X4) = $true) & ((cP_4 @ c @ c) = $true) & ! [X6] : ((cP_5 @ d @ X6) = $true) & ((cP_2 @ b @ b) = $true) & ! [X7] : ((cP_3 @ d @ X7) = $true) & ((cP_5 @ a @ a) = $true) & ! [X8] : ((cP_4 @ d @ X8) = $true) & ((cP_4 @ b @ b) = $true) & ((cP_5 @ b @ b) = $true) & ! [X9,X10] : (((cP_4 @ (f @ X10) @ X9) = $true) | ~((cP_4 @ X10 @ X9) = $true)) & ((cP_5 @ c @ c) = $true) & ((cP_1 @ b @ b) = $true) & ! [X11,X12] : (((cP_3 @ (f @ X12) @ X11) = $true) | ~((cP_3 @ X12 @ X11) = $true)) & ((cP_2 @ a @ a) = $true) & ! [X13,X14] : (((cP_2 @ (f @ X14) @ X13) = $true) | ~((cP_2 @ X14 @ X13) = $true)) & ((cP_3 @ b @ b) = $true) & ((cP_2 @ c @ c) = $true) & ! [X15,X16] : (((cP_5 @ (f @ X15) @ X16) = $true) | ~((cP_5 @ X15 @ X16) = $true)) & ! [X17,X18,X19,X20,X21,X22] : (~((cP_2 @ (f @ X17) @ X18) = $true) | ~((cP_2 @ (f @ X21) @ X19) = $true) | ~($true = (cQ_2 @ X21 @ X22 @ X17)) | ((cQ_3 @ X19 @ X20 @ X18) = $true) | ~($true = (cP_2 @ (f @ X22) @ X20))) & ! [X23,X24,X25,X26,X27,X28] : (~((cP_4 @ (f @ X23) @ X24) = $true) | ~((cP_4 @ (f @ X25) @ X28) = $true) | ~((cQ_4 @ X27 @ X25 @ X23) = $true) | ((cQ_5 @ X26 @ X28 @ X24) = $true) | ~((cP_4 @ (f @ X27) @ X26) = $true)) & ! [X29,X30,X31,X32,X33,X34] : (((cQ_2 @ X32 @ X29 @ X31) = $true) | ~((cP_1 @ (f @ X34) @ X31) = $true) | ~((cP_1 @ (f @ X30) @ X29) = $true) | ~((cP_1 @ (f @ X33) @ X32) = $true) | ~($true = (cQ_1 @ X33 @ X30 @ X34))) & ((cP_3 @ a @ a) = $true) & ! [X35,X36,X37,X38,X39,X40] : (~((cP_5 @ (f @ X36) @ X35) = $true) | ~((cQ_5 @ X40 @ X36 @ X39) = $true) | ~((cP_5 @ (f @ X39) @ X38) = $true) | ~((cP_5 @ (f @ X40) @ X37) = $true) | ((cQ_6 @ X37 @ X35 @ X38) = $true)) & ! [X41] : ((cP_1 @ d @ X41) = $true) & ! [X42,X43,X44,X45,X46,X47] : (~((cP_3 @ (f @ X45) @ X42) = $true) | ~((cP_3 @ (f @ X46) @ X47) = $true) | ~($true = (cQ_3 @ X44 @ X45 @ X46)) | ~((cP_3 @ (f @ X44) @ X43) = $true) | ((cQ_4 @ X43 @ X42 @ X47) = $true)))),
% 0.20/0.40 inference(fool_elimination,[],[f4])).
% 0.20/0.40 thf(f4,plain,(
% 0.20/0.40 ~~((cP_1 @ a @ a) & ! [X0,X1] : (~(cP_1 @ X0 @ X1) | (cP_1 @ (f @ X0) @ X1)) & (cP_3 @ c @ c) & (cP_4 @ a @ a) & (cP_1 @ c @ c) & ! [X2] : (cP_2 @ d @ X2) & (cQ_1 @ a @ b @ c) & ! [X3,X4,X5] : ~(cQ_6 @ X3 @ X5 @ X4) & (cP_4 @ c @ c) & ! [X6] : (cP_5 @ d @ X6) & (cP_2 @ b @ b) & ! [X7] : (cP_3 @ d @ X7) & (cP_5 @ a @ a) & ! [X8] : (cP_4 @ d @ X8) & (cP_4 @ b @ b) & (cP_5 @ b @ b) & ! [X9,X10] : ((cP_4 @ (f @ X10) @ X9) | ~(cP_4 @ X10 @ X9)) & (cP_5 @ c @ c) & (cP_1 @ b @ b) & ! [X11,X12] : ((cP_3 @ (f @ X12) @ X11) | ~(cP_3 @ X12 @ X11)) & (cP_2 @ a @ a) & ! [X13,X14] : ((cP_2 @ (f @ X14) @ X13) | ~(cP_2 @ X14 @ X13)) & (cP_3 @ b @ b) & (cP_2 @ c @ c) & ! [X15,X16] : ((cP_5 @ (f @ X15) @ X16) | ~(cP_5 @ X15 @ X16)) & ! [X17,X18,X19,X20,X21,X22] : (~(cP_2 @ (f @ X17) @ X18) | ~(cP_2 @ (f @ X21) @ X19) | ~(cQ_2 @ X21 @ X22 @ X17) | (cQ_3 @ X19 @ X20 @ X18) | ~(cP_2 @ (f @ X22) @ X20)) & ! [X23,X24,X25,X26,X27,X28] : (~(cP_4 @ (f @ X23) @ X24) | ~(cP_4 @ (f @ X25) @ X28) | ~(cQ_4 @ X27 @ X25 @ X23) | (cQ_5 @ X26 @ X28 @ X24) | ~(cP_4 @ (f @ X27) @ X26)) & ! [X29,X30,X31,X32,X33,X34] : ((cQ_2 @ X32 @ X29 @ X31) | ~(cP_1 @ (f @ X34) @ X31) | ~(cP_1 @ (f @ X30) @ X29) | ~(cP_1 @ (f @ X33) @ X32) | ~(cQ_1 @ X33 @ X30 @ X34)) & (cP_3 @ a @ a) & ! [X35,X36,X37,X38,X39,X40] : (~(cP_5 @ (f @ X36) @ X35) | ~(cQ_5 @ X40 @ X36 @ X39) | ~(cP_5 @ (f @ X39) @ X38) | ~(cP_5 @ (f @ X40) @ X37) | (cQ_6 @ X37 @ X35 @ X38)) & ! [X41] : (cP_1 @ d @ X41) & ! [X42,X43,X44,X45,X46,X47] : (~(cP_3 @ (f @ X45) @ X42) | ~(cP_3 @ (f @ X46) @ X47) | ~(cQ_3 @ X44 @ X45 @ X46) | ~(cP_3 @ (f @ X44) @ X43) | (cQ_4 @ X43 @ X42 @ X47)))),
% 0.20/0.40 inference(rectify,[],[f2])).
% 0.20/0.40 thf(f2,negated_conjecture,(
% 0.20/0.40 ~~((cP_1 @ a @ a) & ! [X0,X1] : (~(cP_1 @ X0 @ X1) | (cP_1 @ (f @ X0) @ X1)) & (cP_3 @ c @ c) & (cP_4 @ a @ a) & (cP_1 @ c @ c) & ! [X0] : (cP_2 @ d @ X0) & (cQ_1 @ a @ b @ c) & ! [X0,X2,X1] : ~(cQ_6 @ X0 @ X1 @ X2) & (cP_4 @ c @ c) & ! [X0] : (cP_5 @ d @ X0) & (cP_2 @ b @ b) & ! [X0] : (cP_3 @ d @ X0) & (cP_5 @ a @ a) & ! [X0] : (cP_4 @ d @ X0) & (cP_4 @ b @ b) & (cP_5 @ b @ b) & ! [X1,X0] : ((cP_4 @ (f @ X0) @ X1) | ~(cP_4 @ X0 @ X1)) & (cP_5 @ c @ c) & (cP_1 @ b @ b) & ! [X1,X0] : ((cP_3 @ (f @ X0) @ X1) | ~(cP_3 @ X0 @ X1)) & (cP_2 @ a @ a) & ! [X1,X0] : ((cP_2 @ (f @ X0) @ X1) | ~(cP_2 @ X0 @ X1)) & (cP_3 @ b @ b) & (cP_2 @ c @ c) & ! [X0,X1] : ((cP_5 @ (f @ X0) @ X1) | ~(cP_5 @ X0 @ X1)) & ! [X2,X5,X3,X4,X0,X1] : (~(cP_2 @ (f @ X2) @ X5) | ~(cP_2 @ (f @ X0) @ X3) | ~(cQ_2 @ X0 @ X1 @ X2) | (cQ_3 @ X3 @ X4 @ X5) | ~(cP_2 @ (f @ X1) @ X4)) & ! [X2,X5,X1,X3,X0,X4] : (~(cP_4 @ (f @ X2) @ X5) | ~(cP_4 @ (f @ X1) @ X4) | ~(cQ_4 @ X0 @ X1 @ X2) | (cQ_5 @ X3 @ X4 @ X5) | ~(cP_4 @ (f @ X0) @ X3)) & ! [X4,X1,X5,X3,X0,X2] : ((cQ_2 @ X3 @ X4 @ X5) | ~(cP_1 @ (f @ X2) @ X5) | ~(cP_1 @ (f @ X1) @ X4) | ~(cP_1 @ (f @ X0) @ X3) | ~(cQ_1 @ X0 @ X1 @ X2)) & (cP_3 @ a @ a) & ! [X4,X1,X3,X5,X2,X0] : (~(cP_5 @ (f @ X1) @ X4) | ~(cQ_5 @ X0 @ X1 @ X2) | ~(cP_5 @ (f @ X2) @ X5) | ~(cP_5 @ (f @ X0) @ X3) | (cQ_6 @ X3 @ X4 @ X5)) & ! [X0] : (cP_1 @ d @ X0) & ! [X4,X3,X0,X1,X2,X5] : (~(cP_3 @ (f @ X1) @ X4) | ~(cP_3 @ (f @ X2) @ X5) | ~(cQ_3 @ X0 @ X1 @ X2) | ~(cP_3 @ (f @ X0) @ X3) | (cQ_4 @ X3 @ X4 @ X5)))),
% 0.20/0.40 inference(negated_conjecture,[],[f1])).
% 0.20/0.40 thf(f1,conjecture,(
% 0.20/0.40 ~((cP_1 @ a @ a) & ! [X0,X1] : (~(cP_1 @ X0 @ X1) | (cP_1 @ (f @ X0) @ X1)) & (cP_3 @ c @ c) & (cP_4 @ a @ a) & (cP_1 @ c @ c) & ! [X0] : (cP_2 @ d @ X0) & (cQ_1 @ a @ b @ c) & ! [X0,X2,X1] : ~(cQ_6 @ X0 @ X1 @ X2) & (cP_4 @ c @ c) & ! [X0] : (cP_5 @ d @ X0) & (cP_2 @ b @ b) & ! [X0] : (cP_3 @ d @ X0) & (cP_5 @ a @ a) & ! [X0] : (cP_4 @ d @ X0) & (cP_4 @ b @ b) & (cP_5 @ b @ b) & ! [X1,X0] : ((cP_4 @ (f @ X0) @ X1) | ~(cP_4 @ X0 @ X1)) & (cP_5 @ c @ c) & (cP_1 @ b @ b) & ! [X1,X0] : ((cP_3 @ (f @ X0) @ X1) | ~(cP_3 @ X0 @ X1)) & (cP_2 @ a @ a) & ! [X1,X0] : ((cP_2 @ (f @ X0) @ X1) | ~(cP_2 @ X0 @ X1)) & (cP_3 @ b @ b) & (cP_2 @ c @ c) & ! [X0,X1] : ((cP_5 @ (f @ X0) @ X1) | ~(cP_5 @ X0 @ X1)) & ! [X2,X5,X3,X4,X0,X1] : (~(cP_2 @ (f @ X2) @ X5) | ~(cP_2 @ (f @ X0) @ X3) | ~(cQ_2 @ X0 @ X1 @ X2) | (cQ_3 @ X3 @ X4 @ X5) | ~(cP_2 @ (f @ X1) @ X4)) & ! [X2,X5,X1,X3,X0,X4] : (~(cP_4 @ (f @ X2) @ X5) | ~(cP_4 @ (f @ X1) @ X4) | ~(cQ_4 @ X0 @ X1 @ X2) | (cQ_5 @ X3 @ X4 @ X5) | ~(cP_4 @ (f @ X0) @ X3)) & ! [X4,X1,X5,X3,X0,X2] : ((cQ_2 @ X3 @ X4 @ X5) | ~(cP_1 @ (f @ X2) @ X5) | ~(cP_1 @ (f @ X1) @ X4) | ~(cP_1 @ (f @ X0) @ X3) | ~(cQ_1 @ X0 @ X1 @ X2)) & (cP_3 @ a @ a) & ! [X4,X1,X3,X5,X2,X0] : (~(cP_5 @ (f @ X1) @ X4) | ~(cQ_5 @ X0 @ X1 @ X2) | ~(cP_5 @ (f @ X2) @ X5) | ~(cP_5 @ (f @ X0) @ X3) | (cQ_6 @ X3 @ X4 @ X5)) & ! [X0] : (cP_1 @ d @ X0) & ! [X4,X3,X0,X1,X2,X5] : (~(cP_3 @ (f @ X1) @ X4) | ~(cP_3 @ (f @ X2) @ X5) | ~(cQ_3 @ X0 @ X1 @ X2) | ~(cP_3 @ (f @ X0) @ X3) | (cQ_4 @ X3 @ X4 @ X5)))),
% 0.20/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM409_5)).
% 0.20/0.40 thf(f152,plain,(
% 0.20/0.40 ( ! [X0 : $i] : (((cP_5 @ b @ X0) != $true)) ) | ~spl0_8),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f151])).
% 0.20/0.40 thf(f151,plain,(
% 0.20/0.40 ( ! [X0 : $i] : (((cP_5 @ b @ X0) != $true) | ($true != $true)) ) | ~spl0_8),
% 0.20/0.40 inference(superposition,[],[f123,f14])).
% 0.20/0.40 thf(f14,plain,(
% 0.20/0.40 ((cP_4 @ b @ b) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f123,plain,(
% 0.20/0.40 ( ! [X0 : $i,X1 : $i] : (((cP_4 @ b @ X0) != $true) | ((cP_5 @ X0 @ X1) != $true)) ) | ~spl0_8),
% 0.20/0.40 inference(avatar_component_clause,[],[f122])).
% 0.20/0.40 thf(f122,plain,(
% 0.20/0.40 spl0_8 <=> ! [X0,X1] : (((cP_5 @ X0 @ X1) != $true) | ((cP_4 @ b @ X0) != $true))),
% 0.20/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.20/0.40 thf(f150,plain,(
% 0.20/0.40 spl0_8 | ~spl0_1),
% 0.20/0.40 inference(avatar_split_clause,[],[f149,f52,f122])).
% 0.20/0.40 thf(f52,plain,(
% 0.20/0.40 spl0_1 <=> ! [X13,X8,X12,X3,X7] : (((cP_3 @ (f @ X12) @ X7) != $true) | ((cP_1 @ (f @ b) @ X3) != $true) | ((cP_2 @ (f @ X3) @ X12) != $true) | ((cP_5 @ (f @ X8) @ X13) != $true) | ((cP_4 @ (f @ X7) @ X8) != $true))),
% 0.20/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.20/0.40 thf(f149,plain,(
% 0.20/0.40 ( ! [X0 : $i,X1 : $i] : (((cP_5 @ X0 @ X1) != $true) | ((cP_4 @ b @ X0) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f148])).
% 0.20/0.40 thf(f148,plain,(
% 0.20/0.40 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((cP_4 @ b @ X0) != $true) | ((cP_5 @ X0 @ X1) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(superposition,[],[f147,f11])).
% 0.20/0.40 thf(f11,plain,(
% 0.20/0.40 ((cP_3 @ b @ b) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f147,plain,(
% 0.20/0.40 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cP_3 @ b @ X0) != $true) | ((cP_5 @ X1 @ X2) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f146])).
% 0.20/0.40 thf(f146,plain,(
% 0.20/0.40 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ((cP_5 @ X1 @ X2) != $true) | ((cP_3 @ b @ X0) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(superposition,[],[f145,f30])).
% 0.20/0.40 thf(f30,plain,(
% 0.20/0.40 ((cP_2 @ b @ b) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f145,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_2 @ b @ X3) != $true) | ((cP_3 @ X3 @ X2) != $true) | ((cP_5 @ X0 @ X1) != $true) | ((cP_4 @ X2 @ X0) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f144])).
% 0.20/0.40 thf(f144,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_2 @ b @ X3) != $true) | ((cP_4 @ X2 @ X0) != $true) | ((cP_5 @ X0 @ X1) != $true) | ($true != $true) | ((cP_3 @ X3 @ X2) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(superposition,[],[f143,f25])).
% 0.20/0.40 thf(f25,plain,(
% 0.20/0.40 ((cP_1 @ b @ b) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f143,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_1 @ b @ X2) != $true) | ((cP_5 @ X0 @ X1) != $true) | ((cP_4 @ X4 @ X0) != $true) | ((cP_3 @ X3 @ X4) != $true) | ((cP_2 @ X2 @ X3) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f142])).
% 0.20/0.40 thf(f142,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_3 @ X3 @ X4) != $true) | ((cP_4 @ X4 @ X0) != $true) | ((cP_2 @ X2 @ X3) != $true) | ((cP_1 @ b @ X2) != $true) | ((cP_5 @ X0 @ X1) != $true) | ($true != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(superposition,[],[f141,f33])).
% 0.20/0.40 thf(f33,plain,(
% 0.20/0.40 ( ! [X8 : $i,X7 : $i] : (((cP_5 @ (f @ X8) @ X7) = $true) | ((cP_5 @ X8 @ X7) != $true)) )),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f141,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_5 @ (f @ X1) @ X2) != $true) | ((cP_1 @ b @ X3) != $true) | ((cP_2 @ X3 @ X4) != $true) | ((cP_3 @ X4 @ X0) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f140])).
% 0.20/0.40 thf(f140,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_4 @ X0 @ X1) != $true) | ($true != $true) | ((cP_5 @ (f @ X1) @ X2) != $true) | ((cP_2 @ X3 @ X4) != $true) | ((cP_3 @ X4 @ X0) != $true) | ((cP_1 @ b @ X3) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(superposition,[],[f139,f13])).
% 0.20/0.40 thf(f13,plain,(
% 0.20/0.40 ( ! [X38 : $i,X37 : $i] : (((cP_4 @ (f @ X38) @ X37) = $true) | ($true != (cP_4 @ X38 @ X37))) )),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f139,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_4 @ (f @ X1) @ X2) != $true) | ((cP_5 @ (f @ X2) @ X3) != $true) | ((cP_1 @ b @ X4) != $true) | ((cP_3 @ X0 @ X1) != $true) | ((cP_2 @ X4 @ X0) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f138])).
% 0.20/0.40 thf(f138,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != $true) | ((cP_2 @ X4 @ X0) != $true) | ((cP_4 @ (f @ X1) @ X2) != $true) | ((cP_3 @ X0 @ X1) != $true) | ((cP_1 @ b @ X4) != $true) | ((cP_5 @ (f @ X2) @ X3) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(superposition,[],[f137,f29])).
% 0.20/0.40 thf(f29,plain,(
% 0.20/0.40 ( ! [X11 : $i,X12 : $i] : (((cP_3 @ (f @ X11) @ X12) = $true) | ((cP_3 @ X11 @ X12) != $true)) )),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f137,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_1 @ b @ X0) != $true) | ((cP_2 @ X0 @ X1) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f136])).
% 0.20/0.40 thf(f136,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_1 @ b @ X0) != $true) | ((cP_2 @ X0 @ X1) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_3 @ (f @ X1) @ X2) != $true) | ($true != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(superposition,[],[f135,f22])).
% 0.20/0.40 thf(f22,plain,(
% 0.20/0.40 ( ! [X16 : $i,X15 : $i] : (((cP_2 @ (f @ X15) @ X16) = $true) | ((cP_2 @ X15 @ X16) != $true)) )),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f135,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_2 @ (f @ X0) @ X3) != $true) | ((cP_4 @ (f @ X1) @ X2) != $true) | ((cP_3 @ (f @ X3) @ X1) != $true) | ((cP_5 @ (f @ X2) @ X4) != $true) | ((cP_1 @ b @ X0) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f134])).
% 0.20/0.40 thf(f134,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != $true) | ((cP_5 @ (f @ X2) @ X4) != $true) | ((cP_1 @ b @ X0) != $true) | ((cP_4 @ (f @ X1) @ X2) != $true) | ((cP_2 @ (f @ X0) @ X3) != $true) | ((cP_3 @ (f @ X3) @ X1) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(superposition,[],[f53,f16])).
% 0.20/0.40 thf(f16,plain,(
% 0.20/0.40 ( ! [X29 : $i,X30 : $i] : (((cP_1 @ (f @ X29) @ X30) = $true) | ((cP_1 @ X29 @ X30) != $true)) )),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f53,plain,(
% 0.20/0.40 ( ! [X3 : $i,X8 : $i,X7 : $i,X12 : $i,X13 : $i] : (((cP_1 @ (f @ b) @ X3) != $true) | ((cP_4 @ (f @ X7) @ X8) != $true) | ((cP_3 @ (f @ X12) @ X7) != $true) | ((cP_2 @ (f @ X3) @ X12) != $true) | ((cP_5 @ (f @ X8) @ X13) != $true)) ) | ~spl0_1),
% 0.20/0.40 inference(avatar_component_clause,[],[f52])).
% 0.20/0.40 thf(f133,plain,(
% 0.20/0.40 ~spl0_3),
% 0.20/0.40 inference(avatar_contradiction_clause,[],[f132])).
% 0.20/0.40 thf(f132,plain,(
% 0.20/0.40 $false | ~spl0_3),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f131])).
% 0.20/0.40 thf(f131,plain,(
% 0.20/0.40 ($true != $true) | ~spl0_3),
% 0.20/0.40 inference(superposition,[],[f130,f23])).
% 0.20/0.40 thf(f23,plain,(
% 0.20/0.40 ((cP_5 @ c @ c) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f130,plain,(
% 0.20/0.40 ( ! [X0 : $i] : (((cP_5 @ c @ X0) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f129])).
% 0.20/0.40 thf(f129,plain,(
% 0.20/0.40 ( ! [X0 : $i] : (((cP_5 @ c @ X0) != $true) | ($true != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(superposition,[],[f104,f35])).
% 0.20/0.40 thf(f35,plain,(
% 0.20/0.40 ((cP_4 @ c @ c) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f104,plain,(
% 0.20/0.40 ( ! [X0 : $i,X1 : $i] : (((cP_4 @ c @ X0) != $true) | ((cP_5 @ X0 @ X1) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(subsumption_resolution,[],[f103,f18])).
% 0.20/0.40 thf(f18,plain,(
% 0.20/0.40 ((cP_2 @ c @ c) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f103,plain,(
% 0.20/0.40 ( ! [X0 : $i,X1 : $i] : (((cP_2 @ c @ c) != $true) | ((cP_4 @ c @ X0) != $true) | ((cP_5 @ X0 @ X1) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f95])).
% 0.20/0.40 thf(f95,plain,(
% 0.20/0.40 ( ! [X0 : $i,X1 : $i] : (((cP_5 @ X0 @ X1) != $true) | ($true != $true) | ((cP_4 @ c @ X0) != $true) | ((cP_2 @ c @ c) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(superposition,[],[f93,f38])).
% 0.20/0.40 thf(f38,plain,(
% 0.20/0.40 ((cP_3 @ c @ c) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f93,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cP_3 @ X2 @ X3)) | ((cP_5 @ X0 @ X1) != $true) | ((cP_4 @ X3 @ X0) != $true) | ((cP_2 @ c @ X2) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f92])).
% 0.20/0.40 thf(f92,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != $true) | ((cP_5 @ X0 @ X1) != $true) | ($true != (cP_3 @ X2 @ X3)) | ((cP_2 @ c @ X2) != $true) | ((cP_4 @ X3 @ X0) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(superposition,[],[f91,f39])).
% 0.20/0.40 thf(f39,plain,(
% 0.20/0.40 ((cP_1 @ c @ c) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f91,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_1 @ c @ X2) != $true) | ((cP_5 @ X0 @ X1) != $true) | ((cP_3 @ X3 @ X4) != $true) | ((cP_4 @ X4 @ X0) != $true) | ((cP_2 @ X2 @ X3) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f90])).
% 0.20/0.40 thf(f90,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_2 @ X2 @ X3) != $true) | ((cP_1 @ c @ X2) != $true) | ((cP_4 @ X4 @ X0) != $true) | ($true != $true) | ((cP_5 @ X0 @ X1) != $true) | ((cP_3 @ X3 @ X4) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(superposition,[],[f89,f33])).
% 0.20/0.40 thf(f89,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_5 @ (f @ X1) @ X4) != $true) | ((cP_2 @ X2 @ X3) != $true) | ((cP_3 @ X3 @ X0) != $true) | ((cP_1 @ c @ X2) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f88])).
% 0.20/0.40 thf(f88,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_5 @ (f @ X1) @ X4) != $true) | ($true != $true) | ((cP_2 @ X2 @ X3) != $true) | ((cP_4 @ X0 @ X1) != $true) | ((cP_3 @ X3 @ X0) != $true) | ((cP_1 @ c @ X2) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(superposition,[],[f87,f13])).
% 0.20/0.40 thf(f87,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_4 @ (f @ X1) @ X2) != $true) | ((cP_2 @ X4 @ X0) != $true) | ((cP_3 @ X0 @ X1) != $true) | ((cP_5 @ (f @ X2) @ X3) != $true) | ((cP_1 @ c @ X4) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f86])).
% 0.20/0.40 thf(f86,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_1 @ c @ X4) != $true) | ($true != $true) | ((cP_5 @ (f @ X2) @ X3) != $true) | ((cP_4 @ (f @ X1) @ X2) != $true) | ((cP_3 @ X0 @ X1) != $true) | ((cP_2 @ X4 @ X0) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(superposition,[],[f85,f29])).
% 0.20/0.40 thf(f85,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_1 @ c @ X0) != $true) | ((cP_2 @ X0 @ X1) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f84])).
% 0.20/0.40 thf(f84,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_1 @ c @ X0) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_2 @ X0 @ X1) != $true) | ($true != $true) | ((cP_5 @ (f @ X3) @ X4) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(superposition,[],[f83,f22])).
% 0.20/0.40 thf(f83,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_2 @ (f @ X0) @ X1) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_1 @ c @ X0) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f82])).
% 0.20/0.40 thf(f82,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_4 @ (f @ X2) @ X3) != $true) | ($true != $true) | ((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_2 @ (f @ X0) @ X1) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_1 @ c @ X0) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(superposition,[],[f59,f16])).
% 0.20/0.40 thf(f59,plain,(
% 0.20/0.40 ( ! [X2 : $i,X0 : $i,X11 : $i,X1 : $i,X14 : $i] : (((cP_1 @ (f @ c) @ X2) != $true) | ((cP_3 @ (f @ X14) @ X0) != $true) | ((cP_5 @ (f @ X1) @ X11) != $true) | ((cP_2 @ (f @ X2) @ X14) != $true) | ((cP_4 @ (f @ X0) @ X1) != $true)) ) | ~spl0_3),
% 0.20/0.40 inference(avatar_component_clause,[],[f58])).
% 0.20/0.40 thf(f58,plain,(
% 0.20/0.40 spl0_3 <=> ! [X11,X14,X0,X2,X1] : (((cP_2 @ (f @ X2) @ X14) != $true) | ((cP_5 @ (f @ X1) @ X11) != $true) | ((cP_1 @ (f @ c) @ X2) != $true) | ((cP_3 @ (f @ X14) @ X0) != $true) | ((cP_4 @ (f @ X0) @ X1) != $true))),
% 0.20/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.20/0.40 thf(f81,plain,(
% 0.20/0.40 ~spl0_2),
% 0.20/0.40 inference(avatar_contradiction_clause,[],[f80])).
% 0.20/0.40 thf(f80,plain,(
% 0.20/0.40 $false | ~spl0_2),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f79])).
% 0.20/0.40 thf(f79,plain,(
% 0.20/0.40 ($true != $true) | ~spl0_2),
% 0.20/0.40 inference(superposition,[],[f78,f37])).
% 0.20/0.40 thf(f37,plain,(
% 0.20/0.40 ((cP_5 @ a @ a) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f78,plain,(
% 0.20/0.40 ( ! [X0 : $i] : (((cP_5 @ a @ X0) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f77])).
% 0.20/0.40 thf(f77,plain,(
% 0.20/0.40 ( ! [X0 : $i] : (($true != $true) | ((cP_5 @ a @ X0) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(superposition,[],[f76,f26])).
% 0.20/0.40 thf(f26,plain,(
% 0.20/0.40 ((cP_4 @ a @ a) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f76,plain,(
% 0.20/0.40 ( ! [X0 : $i,X1 : $i] : (((cP_4 @ a @ X0) != $true) | ((cP_5 @ X0 @ X1) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f75])).
% 0.20/0.40 thf(f75,plain,(
% 0.20/0.40 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((cP_4 @ a @ X0) != $true) | ((cP_5 @ X0 @ X1) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(superposition,[],[f74,f10])).
% 0.20/0.40 thf(f10,plain,(
% 0.20/0.40 ((cP_3 @ a @ a) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f74,plain,(
% 0.20/0.40 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cP_3 @ a @ X2) != $true) | ((cP_4 @ X2 @ X0) != $true) | ((cP_5 @ X0 @ X1) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f73])).
% 0.20/0.40 thf(f73,plain,(
% 0.20/0.40 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cP_5 @ X0 @ X1) != $true) | ((cP_4 @ X2 @ X0) != $true) | ((cP_3 @ a @ X2) != $true) | ($true != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(superposition,[],[f72,f9])).
% 0.20/0.40 thf(f9,plain,(
% 0.20/0.40 ((cP_2 @ a @ a) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f72,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_2 @ a @ X0) != $true) | ((cP_5 @ X2 @ X3) != $true) | ((cP_3 @ X0 @ X1) != $true) | ((cP_4 @ X1 @ X2) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f71])).
% 0.20/0.40 thf(f71,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_4 @ X1 @ X2) != $true) | ((cP_3 @ X0 @ X1) != $true) | ((cP_5 @ X2 @ X3) != $true) | ($true != $true) | ((cP_2 @ a @ X0) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(superposition,[],[f70,f17])).
% 0.20/0.40 thf(f17,plain,(
% 0.20/0.40 ((cP_1 @ a @ a) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f70,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_1 @ a @ X4) != $true) | ((cP_2 @ X4 @ X3) != $true) | ((cP_4 @ X2 @ X0) != $true) | ((cP_5 @ X0 @ X1) != $true) | ((cP_3 @ X3 @ X2) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f69])).
% 0.20/0.40 thf(f69,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_3 @ X3 @ X2) != $true) | ((cP_5 @ X0 @ X1) != $true) | ((cP_1 @ a @ X4) != $true) | ($true != $true) | ((cP_4 @ X2 @ X0) != $true) | ((cP_2 @ X4 @ X3) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(superposition,[],[f68,f33])).
% 0.20/0.40 thf(f68,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_5 @ (f @ X1) @ X4) != $true) | ((cP_4 @ X0 @ X1) != $true) | ((cP_3 @ X3 @ X0) != $true) | ((cP_2 @ X2 @ X3) != $true) | ($true != (cP_1 @ a @ X2))) ) | ~spl0_2),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f67])).
% 0.20/0.40 thf(f67,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_2 @ X2 @ X3) != $true) | ((cP_3 @ X3 @ X0) != $true) | ((cP_5 @ (f @ X1) @ X4) != $true) | ((cP_4 @ X0 @ X1) != $true) | ($true != (cP_1 @ a @ X2)) | ($true != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(superposition,[],[f66,f13])).
% 0.20/0.40 thf(f66,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_1 @ a @ X0) != $true) | ((cP_2 @ X0 @ X1) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_3 @ X1 @ X2) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f65])).
% 0.20/0.40 thf(f65,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_1 @ a @ X0) != $true) | ((cP_3 @ X1 @ X2) != $true) | ($true != $true) | ((cP_2 @ X0 @ X1) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(superposition,[],[f64,f16])).
% 0.20/0.40 thf(f64,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_1 @ (f @ a) @ X0)) | ((cP_3 @ X1 @ X2) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_2 @ X0 @ X1) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f63])).
% 0.20/0.40 thf(f63,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != $true) | ((cP_2 @ X0 @ X1) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_3 @ X1 @ X2) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ($true != (cP_1 @ (f @ a) @ X0))) ) | ~spl0_2),
% 0.20/0.40 inference(superposition,[],[f62,f22])).
% 0.20/0.40 thf(f62,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != (cP_2 @ (f @ X2) @ X0)) | ((cP_4 @ (f @ X1) @ X3) != $true) | ((cP_3 @ X0 @ X1) != $true) | ((cP_1 @ (f @ a) @ X2) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f61])).
% 0.20/0.40 thf(f61,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true != $true) | ((cP_3 @ X0 @ X1) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ($true != (cP_2 @ (f @ X2) @ X0)) | ((cP_1 @ (f @ a) @ X2) != $true) | ((cP_4 @ (f @ X1) @ X3) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(superposition,[],[f56,f29])).
% 0.20/0.40 thf(f56,plain,(
% 0.20/0.40 ( ! [X10 : $i,X6 : $i,X9 : $i,X4 : $i,X5 : $i] : (($true != (cP_3 @ (f @ X10) @ X9)) | ((cP_2 @ (f @ X6) @ X10) != $true) | ((cP_1 @ (f @ a) @ X6) != $true) | ((cP_4 @ (f @ X9) @ X4) != $true) | ((cP_5 @ (f @ X4) @ X5) != $true)) ) | ~spl0_2),
% 0.20/0.40 inference(avatar_component_clause,[],[f55])).
% 0.20/0.40 thf(f55,plain,(
% 0.20/0.40 spl0_2 <=> ! [X6,X4,X9,X10,X5] : (((cP_5 @ (f @ X4) @ X5) != $true) | ($true != (cP_3 @ (f @ X10) @ X9)) | ((cP_1 @ (f @ a) @ X6) != $true) | ((cP_2 @ (f @ X6) @ X10) != $true) | ((cP_4 @ (f @ X9) @ X4) != $true))),
% 0.20/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.20/0.40 thf(f60,plain,(
% 0.20/0.40 spl0_1 | spl0_2 | spl0_3),
% 0.20/0.40 inference(avatar_split_clause,[],[f50,f58,f55,f52])).
% 0.20/0.40 thf(f50,plain,(
% 0.20/0.40 ( ! [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_5 @ (f @ X4) @ X5) != $true) | ((cP_3 @ (f @ X12) @ X7) != $true) | ((cP_2 @ (f @ X2) @ X14) != $true) | ((cP_4 @ (f @ X0) @ X1) != $true) | ((cP_4 @ (f @ X7) @ X8) != $true) | ((cP_5 @ (f @ X8) @ X13) != $true) | ((cP_2 @ (f @ X3) @ X12) != $true) | ((cP_4 @ (f @ X9) @ X4) != $true) | ((cP_1 @ (f @ a) @ X6) != $true) | ((cP_3 @ (f @ X14) @ X0) != $true) | ((cP_1 @ (f @ b) @ X3) != $true) | ($true != (cP_3 @ (f @ X10) @ X9)) | ((cP_1 @ (f @ c) @ X2) != $true) | ((cP_2 @ (f @ X6) @ X10) != $true) | ((cP_5 @ (f @ X1) @ X11) != $true)) )),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f49])).
% 0.20/0.40 thf(f49,plain,(
% 0.20/0.40 ( ! [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_3 @ (f @ X10) @ X9)) | ((cP_2 @ (f @ X3) @ X12) != $true) | ((cP_3 @ (f @ X14) @ X0) != $true) | ((cP_1 @ (f @ c) @ X2) != $true) | ((cP_4 @ (f @ X9) @ X4) != $true) | ($true != $true) | ((cP_2 @ (f @ X2) @ X14) != $true) | ((cP_2 @ (f @ X6) @ X10) != $true) | ((cP_1 @ (f @ a) @ X6) != $true) | ((cP_1 @ (f @ b) @ X3) != $true) | ((cP_4 @ (f @ X0) @ X1) != $true) | ((cP_5 @ (f @ X8) @ X13) != $true) | ((cP_4 @ (f @ X7) @ X8) != $true) | ((cP_5 @ (f @ X1) @ X11) != $true) | ((cP_3 @ (f @ X12) @ X7) != $true) | ((cP_5 @ (f @ X4) @ X5) != $true)) )),
% 0.20/0.40 inference(superposition,[],[f48,f24])).
% 0.20/0.40 thf(f24,plain,(
% 0.20/0.40 ((cQ_1 @ a @ b @ c) = $true)),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f48,plain,(
% 0.20/0.40 ( ! [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] : (((cQ_1 @ X17 @ X15 @ X16) != $true) | ((cP_4 @ (f @ X14) @ X11) != $true) | ((cP_1 @ (f @ X16) @ X2) != $true) | ((cP_1 @ (f @ X15) @ X1) != $true) | ((cP_5 @ (f @ X6) @ X7) != $true) | ((cP_1 @ (f @ X17) @ X0) != $true) | ((cP_4 @ (f @ X10) @ X3) != $true) | ((cP_4 @ (f @ X8) @ X6) != $true) | ($true != (cP_2 @ (f @ X0) @ X5)) | ((cP_5 @ (f @ X11) @ X12) != $true) | ((cP_3 @ (f @ X5) @ X8) != $true) | ((cP_2 @ (f @ X1) @ X9) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_3 @ (f @ X13) @ X14) != $true) | ((cP_3 @ (f @ X9) @ X10) != $true) | ($true != (cP_2 @ (f @ X2) @ X13))) )),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f47])).
% 0.20/0.40 thf(f47,plain,(
% 0.20/0.40 ( ! [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] : (((cP_1 @ (f @ X17) @ X0) != $true) | ((cP_4 @ (f @ X10) @ X3) != $true) | ((cP_1 @ (f @ X16) @ X2) != $true) | ($true != $true) | ((cP_4 @ (f @ X8) @ X6) != $true) | ($true != (cP_2 @ (f @ X0) @ X5)) | ((cP_3 @ (f @ X9) @ X10) != $true) | ((cQ_1 @ X17 @ X15 @ X16) != $true) | ((cP_5 @ (f @ X6) @ X7) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_3 @ (f @ X5) @ X8) != $true) | ((cP_4 @ (f @ X14) @ X11) != $true) | ((cP_1 @ (f @ X15) @ X1) != $true) | ((cP_5 @ (f @ X11) @ X12) != $true) | ((cP_2 @ (f @ X1) @ X9) != $true) | ((cP_3 @ (f @ X13) @ X14) != $true) | ($true != (cP_2 @ (f @ X2) @ X13))) )),
% 0.20/0.40 inference(superposition,[],[f46,f20])).
% 0.20/0.40 thf(f20,plain,(
% 0.20/0.40 ( ! [X28 : $i,X26 : $i,X27 : $i,X24 : $i,X25 : $i,X23 : $i] : (((cQ_2 @ X27 @ X28 @ X26) = $true) | ((cP_1 @ (f @ X25) @ X28) != $true) | ($true != (cP_1 @ (f @ X24) @ X26)) | ((cQ_1 @ X23 @ X25 @ X24) != $true) | ($true != (cP_1 @ (f @ X23) @ X27))) )),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f46,plain,(
% 0.20/0.40 ( ! [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] : (((cQ_2 @ X12 @ X13 @ X14) != $true) | ((cP_5 @ (f @ X5) @ X6) != $true) | ($true != (cP_2 @ (f @ X12) @ X0)) | ((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_3 @ (f @ X0) @ X10) != $true) | ((cP_3 @ (f @ X1) @ X9) != $true) | ((cP_2 @ (f @ X13) @ X1) != $true) | ($true != (cP_5 @ (f @ X8) @ X11)) | ($true != (cP_2 @ (f @ X14) @ X2)) | ((cP_4 @ (f @ X10) @ X3) != $true) | ((cP_4 @ (f @ X7) @ X8) != $true) | ((cP_3 @ (f @ X2) @ X7) != $true) | ((cP_4 @ (f @ X9) @ X5) != $true)) )),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f45])).
% 0.20/0.40 thf(f45,plain,(
% 0.20/0.40 ( ! [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 @ X10) @ X3) != $true) | ((cP_5 @ (f @ X5) @ X6) != $true) | ((cP_3 @ (f @ X0) @ X10) != $true) | ($true != (cP_5 @ (f @ X8) @ X11)) | ((cQ_2 @ X12 @ X13 @ X14) != $true) | ($true != $true) | ((cP_3 @ (f @ X1) @ X9) != $true) | ((cP_5 @ (f @ X3) @ X4) != $true) | ((cP_4 @ (f @ X9) @ X5) != $true) | ((cP_3 @ (f @ X2) @ X7) != $true) | ($true != (cP_2 @ (f @ X12) @ X0)) | ((cP_4 @ (f @ X7) @ X8) != $true) | ((cP_2 @ (f @ X13) @ X1) != $true) | ($true != (cP_2 @ (f @ X14) @ X2))) )),
% 0.20/0.40 inference(superposition,[],[f44,f15])).
% 0.20/0.40 thf(f15,plain,(
% 0.20/0.40 ( ! [X31 : $i,X36 : $i,X34 : $i,X35 : $i,X32 : $i,X33 : $i] : (((cQ_3 @ X32 @ X34 @ X35) = $true) | ((cQ_2 @ X33 @ X36 @ X31) != $true) | ((cP_2 @ (f @ X31) @ X35) != $true) | ((cP_2 @ (f @ X33) @ X32) != $true) | ((cP_2 @ (f @ X36) @ X34) != $true)) )),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f44,plain,(
% 0.20/0.40 ( ! [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 @ X11 @ X9 @ X10)) | ((cP_5 @ (f @ X3) @ X7) != $true) | ((cP_5 @ (f @ X4) @ X8) != $true) | ((cP_4 @ (f @ X2) @ X5) != $true) | ((cP_4 @ (f @ X1) @ X4) != $true) | ((cP_4 @ (f @ X0) @ X3) != $true) | ($true != (cP_3 @ (f @ X11) @ X0)) | ((cP_3 @ (f @ X9) @ X1) != $true) | ((cP_5 @ (f @ X5) @ X6) != $true) | ((cP_3 @ (f @ X10) @ X2) != $true)) )),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f43])).
% 0.20/0.40 thf(f43,plain,(
% 0.20/0.40 ( ! [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 != $true) | ($true != (cQ_3 @ X11 @ X9 @ X10)) | ((cP_3 @ (f @ X10) @ X2) != $true) | ((cP_5 @ (f @ X4) @ X8) != $true) | ((cP_4 @ (f @ X0) @ X3) != $true) | ($true != (cP_3 @ (f @ X11) @ X0)) | ((cP_5 @ (f @ X5) @ X6) != $true) | ((cP_4 @ (f @ X1) @ X4) != $true) | ((cP_5 @ (f @ X3) @ X7) != $true) | ((cP_3 @ (f @ X9) @ X1) != $true) | ((cP_4 @ (f @ X2) @ X5) != $true)) )),
% 0.20/0.40 inference(superposition,[],[f42,f36])).
% 0.20/0.40 thf(f36,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((cQ_4 @ X1 @ X4 @ X3) = $true) | ((cP_3 @ (f @ X5) @ X4) != $true) | ((cP_3 @ (f @ X0) @ X3) != $true) | ((cQ_3 @ X2 @ X5 @ X0) != $true) | ((cP_3 @ (f @ X2) @ X1) != $true)) )),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f42,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cQ_4 @ X6 @ X8 @ X7) != $true) | ((cP_4 @ (f @ X6) @ X0) != $true) | ($true != (cP_4 @ (f @ X8) @ X1)) | ((cP_5 @ (f @ X2) @ X4) != $true) | ((cP_5 @ (f @ X0) @ X5) != $true) | ((cP_5 @ (f @ X1) @ X3) != $true) | ((cP_4 @ (f @ X7) @ X2) != $true)) )),
% 0.20/0.40 inference(trivial_inequality_removal,[],[f41])).
% 0.20/0.40 thf(f41,plain,(
% 0.20/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cP_5 @ (f @ X1) @ X3) != $true) | ($true != $true) | ((cP_4 @ (f @ X6) @ X0) != $true) | ((cQ_4 @ X6 @ X8 @ X7) != $true) | ((cP_5 @ (f @ X2) @ X4) != $true) | ($true != (cP_4 @ (f @ X8) @ X1)) | ((cP_5 @ (f @ X0) @ X5) != $true) | ((cP_4 @ (f @ X7) @ X2) != $true)) )),
% 0.20/0.40 inference(superposition,[],[f40,f12])).
% 0.20/0.40 thf(f12,plain,(
% 0.20/0.40 ( ! [X40 : $i,X41 : $i,X39 : $i,X44 : $i,X42 : $i,X43 : $i] : (((cQ_5 @ X41 @ X44 @ X39) = $true) | ((cP_4 @ (f @ X42) @ X41) != $true) | ((cP_4 @ (f @ X40) @ X39) != $true) | ((cQ_4 @ X42 @ X43 @ X40) != $true) | ($true != (cP_4 @ (f @ X43) @ X44))) )),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f40,plain,(
% 0.20/0.40 ( ! [X21 : $i,X18 : $i,X19 : $i,X17 : $i,X22 : $i,X20 : $i] : (((cQ_5 @ X21 @ X20 @ X22) != $true) | ((cP_5 @ (f @ X20) @ X17) != $true) | ((cP_5 @ (f @ X22) @ X18) != $true) | ($true != (cP_5 @ (f @ X21) @ X19))) )),
% 0.20/0.40 inference(subsumption_resolution,[],[f21,f8])).
% 0.20/0.40 thf(f8,plain,(
% 0.20/0.40 ( ! [X46 : $i,X47 : $i,X45 : $i] : (((cQ_6 @ X47 @ X45 @ X46) != $true)) )),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 thf(f21,plain,(
% 0.20/0.40 ( ! [X21 : $i,X18 : $i,X19 : $i,X17 : $i,X22 : $i,X20 : $i] : (((cP_5 @ (f @ X22) @ X18) != $true) | ((cQ_5 @ X21 @ X20 @ X22) != $true) | ($true != (cP_5 @ (f @ X21) @ X19)) | ((cP_5 @ (f @ X20) @ X17) != $true) | ((cQ_6 @ X19 @ X17 @ X18) = $true)) )),
% 0.20/0.40 inference(cnf_transformation,[],[f7])).
% 0.20/0.40 % SZS output end Proof for theBenchmark
% 0.20/0.40 % (2359)------------------------------
% 0.20/0.40 % (2359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (2359)Termination reason: Refutation
% 0.20/0.40
% 0.20/0.40 % (2359)Memory used [KB]: 5884
% 0.20/0.40 % (2359)Time elapsed: 0.029 s
% 0.20/0.40 % (2359)Instructions burned: 42 (million)
% 0.20/0.40 % (2359)------------------------------
% 0.20/0.40 % (2359)------------------------------
% 0.20/0.40 % (2353)Success in time 0.03 s
% 0.20/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------